%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU354+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:51:29 AM UTC 2026 % Result : Theorem 1.10s 1.40s % Output : Proof 1.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU354+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:00:49 EDT 2026 % 0.17/0.36 % CPUTime : % 0.40/0.67 %----Proving TF0_NAR, FOF, or CNF % 1.10/1.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.10/1.40 % SZS status Theorem % 1.10/1.40 % SZS output start Proof % 1.10/1.40 ( % 1.10/1.40 (declare-sort $$unsorted 0) % 1.10/1.40 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.function (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 1.10/1.40 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.40 (declare-const tptp.omega $$unsorted) % 1.20/1.40 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.transitive (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.lattice (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.natural (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.finite (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.empty_set $$unsorted) % 1.20/1.40 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.top_str (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.connected (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.centered (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 1.20/1.40 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 1.20/1.40 (define @t1 () (@var "A" $$unsorted)) % 1.20/1.40 (define @t2 () (tptp.the_InternalRel @t1)) % 1.20/1.40 (define @t3 () (tptp.the_carrier @t1)) % 1.20/1.40 (define @t4 () (tptp.strict_rel_str @t1)) % 1.20/1.40 (define @t5 () (tptp.rel_str @t1)) % 1.20/1.40 (define @t6 () (@list @t1)) % 1.20/1.40 (define @t7 () (tptp.the_L_meet @t1)) % 1.20/1.40 (define @t8 () (tptp.the_L_join @t1)) % 1.20/1.40 (define @t9 () (tptp.strict_latt_str @t1)) % 1.20/1.40 (define @t10 () (tptp.latt_str @t1)) % 1.20/1.40 (define @t11 () (@var "B" $$unsorted)) % 1.20/1.40 (define @t12 () (tptp.in @t11 @t1)) % 1.20/1.40 (define @t13 () (not @t12)) % 1.20/1.40 (define @t14 () (tptp.in @t1 @t11)) % 1.20/1.40 (define @t15 () (@list @t1 @t11)) % 1.20/1.40 (define @t16 () (tptp.proper_subset @t11 @t1)) % 1.20/1.40 (define @t17 () (tptp.proper_subset @t1 @t11)) % 1.20/1.40 (define @t18 () (tptp.v1_xcmplx_0 @t11)) % 1.20/1.40 (define @t19 () (tptp.element @t11 @t1)) % 1.20/1.40 (define @t20 () (@list @t11)) % 1.20/1.40 (define @t21 () (tptp.v1_membered @t1)) % 1.20/1.40 (define @t22 () (tptp.v1_xreal_0 @t11)) % 1.20/1.40 (define @t23 () (tptp.v2_membered @t1)) % 1.20/1.40 (define @t24 () (tptp.v1_rat_1 @t11)) % 1.20/1.40 (define @t25 () (tptp.v3_membered @t1)) % 1.20/1.40 (define @t26 () (tptp.v1_int_1 @t11)) % 1.20/1.40 (define @t27 () (tptp.v4_membered @t1)) % 1.20/1.40 (define @t28 () (tptp.natural @t11)) % 1.20/1.40 (define @t29 () (tptp.v5_membered @t1)) % 1.20/1.40 (define @t30 () (tptp.empty @t1)) % 1.20/1.40 (define @t31 () (tptp.v1_membered @t11)) % 1.20/1.40 (define @t32 () (tptp.powerset @t1)) % 1.20/1.40 (define @t33 () (tptp.element @t11 @t32)) % 1.20/1.40 (define @t34 () (tptp.v2_membered @t11)) % 1.20/1.40 (define @t35 () (tptp.v3_membered @t11)) % 1.20/1.40 (define @t36 () (tptp.v4_membered @t11)) % 1.20/1.40 (define @t37 () (tptp.ordinal @t11)) % 1.20/1.40 (define @t38 () (tptp.epsilon_connected @t11)) % 1.20/1.40 (define @t39 () (tptp.epsilon_transitive @t11)) % 1.20/1.40 (define @t40 () (tptp.ordinal @t1)) % 1.20/1.40 (define @t41 () (tptp.finite @t1)) % 1.20/1.40 (define @t42 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 1.20/1.40 (define @t43 () (tptp.preboolean @t1)) % 1.20/1.40 (define @t44 () (tptp.function @t1)) % 1.20/1.40 (define @t45 () (@var "C" $$unsorted)) % 1.20/1.40 (define @t46 () (tptp.quasi_total @t45 @t1 @t11)) % 1.20/1.40 (define @t47 () (tptp.function @t45)) % 1.20/1.40 (define @t48 () (and @t47 @t46)) % 1.20/1.40 (define @t49 () (tptp.v1_partfun1 @t45 @t1 @t11)) % 1.20/1.40 (define @t50 () (tptp.relation_of2 @t45 @t1 @t11)) % 1.20/1.40 (define @t51 () (@list @t1 @t11 @t45)) % 1.20/1.40 (define @t52 () (tptp.join_absorbing @t1)) % 1.20/1.40 (define @t53 () (tptp.meet_absorbing @t1)) % 1.20/1.40 (define @t54 () (tptp.meet_associative @t1)) % 1.20/1.40 (define @t55 () (tptp.meet_commutative @t1)) % 1.20/1.40 (define @t56 () (tptp.join_associative @t1)) % 1.20/1.40 (define @t57 () (tptp.join_commutative @t1)) % 1.20/1.40 (define @t58 () (tptp.empty_carrier @t1)) % 1.20/1.40 (define @t59 () (not @t58)) % 1.20/1.40 (define @t60 () (and @t59 @t57 @t56 @t55 @t54 @t53 @t52)) % 1.20/1.40 (define @t61 () (tptp.lattice @t1)) % 1.20/1.40 (define @t62 () (and @t59 @t61)) % 1.20/1.40 (define @t63 () (tptp.epsilon_connected @t1)) % 1.20/1.40 (define @t64 () (tptp.epsilon_transitive @t1)) % 1.20/1.40 (define @t65 () (and @t64 @t63)) % 1.20/1.40 (define @t66 () (tptp.reflexive @t1)) % 1.20/1.40 (define @t67 () (tptp.relation @t1)) % 1.20/1.40 (define @t68 () (tptp.transitive @t1)) % 1.20/1.40 (define @t69 () (tptp.relation @t45)) % 1.20/1.40 (define @t70 () (tptp.cartesian_product2 @t1 @t11)) % 1.20/1.40 (define @t71 () (tptp.element @t45 (tptp.powerset @t70))) % 1.20/1.40 (define @t72 () (tptp.natural @t1)) % 1.20/1.40 (define @t73 () (and @t64 @t63 @t40 @t72)) % 1.20/1.40 (define @t74 () (tptp.finite @t11)) % 1.20/1.40 (define @t75 () (tptp.one_to_one @t1)) % 1.20/1.40 (define @t76 () (and @t67 @t44 @t75)) % 1.20/1.40 (define @t77 () (and @t67 @t30 @t44)) % 1.20/1.40 (define @t78 () (tptp.one_to_one @t45)) % 1.20/1.40 (define @t79 () (and @t47 @t78 @t46 (tptp.onto @t45 @t1 @t11))) % 1.20/1.40 (define @t80 () (and @t47 @t46 (tptp.bijective @t45 @t1 @t11))) % 1.20/1.40 (define @t81 () (and @t64 @t63 @t40)) % 1.20/1.40 (define @t82 () (tptp.bijective @t11 @t1 @t1)) % 1.20/1.40 (define @t83 () (tptp.onto @t11 @t1 @t1)) % 1.20/1.40 (define @t84 () (tptp.quasi_total @t11 @t1 @t1)) % 1.20/1.40 (define @t85 () (tptp.one_to_one @t11)) % 1.20/1.40 (define @t86 () (tptp.function @t11)) % 1.20/1.40 (define @t87 () (tptp.reflexive @t11)) % 1.20/1.40 (define @t88 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 1.20/1.40 (define @t89 () (tptp.relation_of2 @t11 @t1 @t1)) % 1.20/1.40 (define @t90 () (@list @t45)) % 1.20/1.40 (define @t91 () (tptp.empty @t11)) % 1.20/1.40 (define @t92 () (not @t91)) % 1.20/1.40 (define @t93 () (tptp.empty @t45)) % 1.20/1.40 (define @t94 () (not @t30)) % 1.20/1.40 (define @t95 () (and @t94 @t92)) % 1.20/1.40 (define @t96 () (tptp.unordered_pair @t1 @t11)) % 1.20/1.40 (define @t97 () (tptp.set_union2 @t11 @t1)) % 1.20/1.40 (define @t98 () (tptp.set_union2 @t1 @t11)) % 1.20/1.40 (define @t99 () (tptp.join_commut @t1 @t11 @t45)) % 1.20/1.40 (define @t100 () (tptp.element @t45 @t3)) % 1.20/1.40 (define @t101 () (tptp.element @t11 @t3)) % 1.20/1.40 (define @t102 () (tptp.join_semilatt_str @t1)) % 1.20/1.40 (define @t103 () (and @t59 @t57 @t102 @t101 @t100)) % 1.20/1.40 (define @t104 () (tptp.set_intersection2 @t11 @t1)) % 1.20/1.40 (define @t105 () (tptp.set_intersection2 @t1 @t11)) % 1.20/1.40 (define @t106 () (tptp.meet_commut @t1 @t11 @t45)) % 1.20/1.40 (define @t107 () (tptp.meet_semilatt_str @t1)) % 1.20/1.40 (define @t108 () (and @t59 @t55 @t107 @t101 @t100)) % 1.20/1.40 (define @t109 () (tptp.subset_union2 @t1 @t11 @t45)) % 1.20/1.40 (define @t110 () (tptp.element @t45 @t32)) % 1.20/1.40 (define @t111 () (and @t33 @t110)) % 1.20/1.40 (define @t112 () (tptp.subset_intersection2 @t1 @t11 @t45)) % 1.20/1.40 (define @t113 () (tptp.ordinal_subset @t1 @t11)) % 1.20/1.40 (define @t114 () (and @t40 @t37)) % 1.20/1.40 (define @t115 () (@var "D" $$unsorted)) % 1.20/1.40 (define @t116 () (= @t45 @t115)) % 1.20/1.40 (define @t117 () (tptp.in @t45 @t1)) % 1.20/1.40 (define @t118 () (tptp.ordered_pair @t45 @t115)) % 1.20/1.40 (define @t119 () (tptp.in @t118 @t11)) % 1.20/1.40 (define @t120 () (@list @t45 @t115)) % 1.20/1.40 (define @t121 () (tptp.identity_relation @t1)) % 1.20/1.40 (define @t122 () (= @t11 @t121)) % 1.20/1.40 (define @t123 () (tptp.relation @t11)) % 1.20/1.40 (define @t124 () (tptp.subset @t11 @t1)) % 1.20/1.40 (define @t125 () (tptp.subset @t1 @t11)) % 1.20/1.40 (define @t126 () (= @t1 @t11)) % 1.20/1.40 (define @t127 () (tptp.identity_on_carrier @t1)) % 1.20/1.40 (define @t128 () (tptp.one_sorted_str @t1)) % 1.20/1.40 (define @t129 () (@var "E" $$unsorted)) % 1.20/1.40 (define @t130 () (tptp.ordered_pair @t115 @t129)) % 1.20/1.40 (define @t131 () (tptp.in @t130 @t1)) % 1.20/1.40 (define @t132 () (tptp.in @t115 @t11)) % 1.20/1.40 (define @t133 () (tptp.in @t130 @t45)) % 1.20/1.40 (define @t134 () (@list @t115 @t129)) % 1.20/1.40 (define @t135 () (tptp.relation_dom_restriction @t1 @t11)) % 1.20/1.40 (define @t136 () (@list @t11 @t45)) % 1.20/1.40 (define @t137 () (tptp.in @t129 @t11)) % 1.20/1.40 (define @t138 () (tptp.relation_dom @t1)) % 1.20/1.40 (define @t139 () (@list @t129)) % 1.20/1.40 (define @t140 () (tptp.in @t115 @t45)) % 1.20/1.40 (define @t141 () (@list @t115)) % 1.20/1.40 (define @t142 () (tptp.relation_image @t1 @t11)) % 1.20/1.40 (define @t143 () (= @t45 @t142)) % 1.20/1.40 (define @t144 () (and @t67 @t44)) % 1.20/1.40 (define @t145 () (tptp.in @t129 @t1)) % 1.20/1.40 (define @t146 () (tptp.relation_rng_restriction @t1 @t11)) % 1.20/1.40 (define @t147 () (tptp.relation_field @t1)) % 1.20/1.40 (define @t148 () (tptp.antisymmetric @t1)) % 1.20/1.40 (define @t149 () (tptp.apply @t1 @t115)) % 1.20/1.40 (define @t150 () (tptp.in @t115 @t138)) % 1.20/1.40 (define @t151 () (= @t45 (tptp.relation_inverse_image @t1 @t11))) % 1.20/1.40 (define @t152 () (tptp.meet @t1 @t11 @t45)) % 1.20/1.40 (define @t153 () (forall @t90 (=> @t100 (and (= @t152 @t11) (= (tptp.meet @t1 @t45 @t11) @t11))))) % 1.20/1.40 (define @t154 () (tptp.lower_bounded_semilattstr @t1)) % 1.20/1.40 (define @t155 () (and @t59 @t107)) % 1.20/1.40 (define @t156 () (tptp.powerset @t3)) % 1.20/1.40 (define @t157 () (tptp.element @t129 @t156)) % 1.20/1.40 (define @t158 () (tptp.topstr_closure @t1 @t11)) % 1.20/1.40 (define @t159 () (tptp.element @t45 @t156)) % 1.20/1.40 (define @t160 () (tptp.element @t11 @t156)) % 1.20/1.40 (define @t161 () (tptp.top_str @t1)) % 1.20/1.40 (define @t162 () (tptp.ordered_pair @t129 @t115)) % 1.20/1.40 (define @t163 () (tptp.connected @t1)) % 1.20/1.40 (define @t164 () (tptp.element @t115 @t3)) % 1.20/1.40 (define @t165 () (tptp.latt_set_smaller @t1 @t11 @t45)) % 1.20/1.40 (define @t166 () (and @t59 @t10)) % 1.20/1.40 (define @t167 () (tptp.bottom_of_semilattstr @t1)) % 1.20/1.40 (define @t168 () (tptp.ordered_pair @t11 @t45)) % 1.20/1.40 (define @t169 () (tptp.interior @t1 @t45)) % 1.20/1.40 (define @t170 () (tptp.point_neighbourhood @t45 @t1 @t11)) % 1.20/1.40 (define @t171 () (tptp.topological_space @t1)) % 1.20/1.40 (define @t172 () (and @t59 @t171 @t161)) % 1.20/1.40 (define @t173 () (tptp.in @t129 @t115)) % 1.20/1.40 (define @t174 () (@list @t1 @t11 @t45 @t115)) % 1.20/1.40 (define @t175 () (tptp.relation_dom @t11)) % 1.20/1.40 (define @t176 () (tptp.relation_rng @t11)) % 1.20/1.40 (define @t177 () (tptp.in (tptp.ordered_pair @t11 @t115) @t1)) % 1.20/1.40 (define @t178 () (tptp.in @t168 @t1)) % 1.20/1.40 (define @t179 () (@list @t11 @t45 @t115)) % 1.20/1.40 (define @t180 () (= @t45 tptp.empty_set)) % 1.20/1.40 (define @t181 () (= @t1 tptp.empty_set)) % 1.20/1.40 (define @t182 () (= @t11 tptp.empty_set)) % 1.20/1.40 (define @t183 () (tptp.relation_dom_as_subset @t1 @t11 @t45)) % 1.20/1.40 (define @t184 () (tptp.relation_of2_as_subset @t45 @t1 @t11)) % 1.20/1.40 (define @t185 () (tptp.element @t115 @t32)) % 1.20/1.40 (define @t186 () (tptp.the_carrier @t11)) % 1.20/1.40 (define @t187 () (tptp.boole_lattice @t1)) % 1.20/1.40 (define @t188 () (tptp.latt_str @t11)) % 1.20/1.40 (define @t189 () (tptp.join @t1 @t11 @t45)) % 1.20/1.40 (define @t190 () (and @t59 @t102)) % 1.20/1.40 (define @t191 () (= @t11 @t45)) % 1.20/1.40 (define @t192 () (= @t1 @t118)) % 1.20/1.40 (define @t193 () (exists @t136 (= @t1 @t168))) % 1.20/1.40 (define @t194 () (tptp.singleton @t1)) % 1.20/1.40 (define @t195 () (tptp.succ @t1)) % 1.20/1.40 (define @t196 () (tptp.the_topology @t1)) % 1.20/1.40 (define @t197 () (tptp.in @t11 @t196)) % 1.20/1.40 (define @t198 () (tptp.union_of_subsets @t3 @t11)) % 1.20/1.40 (define @t199 () (tptp.powerset @t156)) % 1.20/1.40 (define @t200 () (tptp.element @t11 @t199)) % 1.20/1.40 (define @t201 () (tptp.in @t45 @t11)) % 1.20/1.40 (define @t202 () (tptp.is_reflexive_in @t1 @t11)) % 1.20/1.40 (define @t203 () (= @t11 (tptp.set_meet @t1))) % 1.20/1.40 (define @t204 () (tptp.in @t45 @t115)) % 1.20/1.40 (define @t205 () (tptp.in @t115 @t1)) % 1.20/1.40 (define @t206 () (not @t181)) % 1.20/1.40 (define @t207 () (tptp.empty @t3)) % 1.20/1.40 (define @t208 () (tptp.subset_complement @t3 @t11)) % 1.20/1.40 (define @t209 () (tptp.interior @t1 @t11)) % 1.20/1.40 (define @t210 () (tptp.open_subset @t45 @t1)) % 1.20/1.40 (define @t211 () (tptp.open_subsets @t11 @t1)) % 1.20/1.40 (define @t212 () (= @t115 @t11)) % 1.20/1.40 (define @t213 () (tptp.subset @t45 @t115)) % 1.20/1.40 (define @t214 () (tptp.relation_field @t11)) % 1.20/1.40 (define @t215 () (tptp.inclusion_relation @t1)) % 1.20/1.40 (define @t216 () (tptp.join_of_latt_set @t1 @t11)) % 1.20/1.40 (define @t217 () (and @t59 @t61 (tptp.complete_latt_str @t1) @t10)) % 1.20/1.40 (define @t218 () (tptp.meet_of_latt_set @t1 @t11)) % 1.20/1.40 (define @t219 () (tptp.set_meet @t11)) % 1.20/1.40 (define @t220 () (not @t182)) % 1.20/1.40 (define @t221 () (tptp.k2_lattice3 @t1)) % 1.20/1.40 (define @t222 () (tptp.poset_of_lattice @t1)) % 1.20/1.40 (define @t223 () (and @t59 @t61 @t10)) % 1.20/1.40 (define @t224 () (= @t11 @t115)) % 1.20/1.40 (define @t225 () (tptp.empty_carrier_subset @t1)) % 1.20/1.40 (define @t226 () (tptp.in @t118 @t1)) % 1.20/1.40 (define @t227 () (tptp.union @t1)) % 1.20/1.40 (define @t228 () (= @t11 @t227)) % 1.20/1.40 (define @t229 () (= (tptp.proper_element @t11 @t1) (not @t228))) % 1.20/1.40 (define @t230 () (forall @t15 (=> @t19 @t229))) % 1.20/1.40 (define @t231 () (forall @t90 (=> @t159 (=> @t201 (tptp.closed_subset @t45 @t1))))) % 1.20/1.40 (define @t232 () (tptp.closed_subsets @t11 @t1)) % 1.20/1.40 (define @t233 () (tptp.well_founded_relation @t1)) % 1.20/1.40 (define @t234 () (@var "F" $$unsorted)) % 1.20/1.40 (define @t235 () (tptp.ordered_pair @t129 @t234)) % 1.20/1.40 (define @t236 () (tptp.in @t234 @t11)) % 1.20/1.40 (define @t237 () (@list @t129 @t234)) % 1.20/1.40 (define @t238 () (tptp.subset @t45 @t11)) % 1.20/1.40 (define @t239 () (tptp.element @t45 @t199)) % 1.20/1.40 (define @t240 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 1.20/1.40 (define @t241 () (tptp.compact_top_space @t1)) % 1.20/1.40 (define @t242 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 1.20/1.40 (define @t243 () (tptp.below @t1 @t11 @t45)) % 1.20/1.40 (define @t244 () (not @t201)) % 1.20/1.40 (define @t245 () (not @t191)) % 1.20/1.40 (define @t246 () (tptp.in @t11 @t45)) % 1.20/1.40 (define @t247 () (tptp.cast_as_carrier_subset @t1)) % 1.20/1.40 (define @t248 () (forall @t90 (=> @t117 @t201))) % 1.20/1.40 (define @t249 () (not @t180)) % 1.20/1.40 (define @t250 () (tptp.is_well_founded_in @t1 @t11)) % 1.20/1.40 (define @t251 () (tptp.apply @t1 @t11)) % 1.20/1.40 (define @t252 () (= @t45 @t251)) % 1.20/1.40 (define @t253 () (tptp.in @t11 @t138)) % 1.20/1.40 (define @t254 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 1.20/1.40 (define @t255 () (tptp.the_carrier @t222)) % 1.20/1.40 (define @t256 () (tptp.element @t11 @t255)) % 1.20/1.40 (define @t257 () (tptp.in (tptp.ordered_pair @t115 @t45) @t1)) % 1.20/1.40 (define @t258 () (tptp.is_antisymmetric_in @t1 @t11)) % 1.20/1.40 (define @t259 () (tptp.cast_to_subset @t1)) % 1.20/1.40 (define @t260 () (tptp.well_ordering @t1)) % 1.20/1.40 (define @t261 () (tptp.relation_rng @t45)) % 1.20/1.40 (define @t262 () (tptp.relation_dom @t45)) % 1.20/1.40 (define @t263 () (= @t262 @t1)) % 1.20/1.40 (define @t264 () (tptp.equipotent @t1 @t11)) % 1.20/1.40 (define @t265 () (tptp.set_difference @t1 @t11)) % 1.20/1.40 (define @t266 () (and @t150 (= @t45 @t149))) % 1.20/1.40 (define @t267 () (tptp.relation_rng @t1)) % 1.20/1.40 (define @t268 () (= @t11 @t267)) % 1.20/1.40 (define @t269 () (tptp.transitive_relstr @t1)) % 1.20/1.40 (define @t270 () (tptp.being_limit_ordinal @t1)) % 1.20/1.40 (define @t271 () (tptp.open_subset @t11 @t1)) % 1.20/1.40 (define @t272 () (tptp.subset_complement @t1 @t11)) % 1.20/1.40 (define @t273 () (tptp.ordered_pair @t1 @t11)) % 1.20/1.40 (define @t274 () (tptp.is_connected_in @t1 @t11)) % 1.20/1.40 (define @t275 () (tptp.is_transitive_in @t1 @t11)) % 1.20/1.40 (define @t276 () (tptp.antisymmetric_relstr @t1)) % 1.20/1.40 (define @t277 () (tptp.subset_difference @t3 @t247 @t11)) % 1.20/1.40 (define @t278 () (tptp.closed_subset @t11 @t1)) % 1.20/1.40 (define @t279 () (tptp.cartesian_product2 @t11 @t11)) % 1.20/1.40 (define @t280 () (tptp.relation_restriction @t1 @t11)) % 1.20/1.40 (define @t281 () (tptp.relation_inverse @t1)) % 1.20/1.40 (define @t282 () (tptp.apply @t45 @t129)) % 1.20/1.40 (define @t283 () (tptp.apply @t45 @t115)) % 1.20/1.40 (define @t284 () (tptp.relation_isomorphism @t1 @t11 @t45)) % 1.20/1.40 (define @t285 () (and @t69 @t47)) % 1.20/1.40 (define @t286 () (tptp.disjoint @t1 @t11)) % 1.20/1.40 (define @t287 () (tptp.relation_of_lattice @t1)) % 1.20/1.40 (define @t288 () (tptp.related @t1 @t45 @t115)) % 1.20/1.40 (define @t289 () (@list @t234)) % 1.20/1.40 (define @t290 () (tptp.relation_composition @t1 @t11)) % 1.20/1.40 (define @t291 () (@list @t45 @t115 @t129)) % 1.20/1.40 (define @t292 () (tptp.complements_of_subsets @t1 @t11)) % 1.20/1.40 (define @t293 () (tptp.powerset @t32)) % 1.20/1.40 (define @t294 () (tptp.element @t11 @t293)) % 1.20/1.40 (define @t295 () (not @t126)) % 1.20/1.40 (define @t296 () (tptp.function_inverse @t1)) % 1.20/1.40 (define @t297 () (tptp.related @t1 @t11 @t45)) % 1.20/1.40 (define @t298 () (tptp.rel_str_of @t1 @t11)) % 1.20/1.40 (define @t299 () (tptp.strict_rel_str @t298)) % 1.20/1.40 (define @t300 () (tptp.latt_str_of @t1 @t11 @t45)) % 1.20/1.40 (define @t301 () (tptp.strict_latt_str @t300)) % 1.20/1.40 (define @t302 () (tptp.cartesian_product2 @t1 @t1)) % 1.20/1.40 (define @t303 () (tptp.relation_of2 @t45 @t302 @t1)) % 1.20/1.40 (define @t304 () (tptp.quasi_total @t45 @t302 @t1)) % 1.20/1.40 (define @t305 () (tptp.relation_of2 @t11 @t302 @t1)) % 1.20/1.40 (define @t306 () (tptp.quasi_total @t11 @t302 @t1)) % 1.20/1.40 (define @t307 () (and @t86 @t306 @t305 @t47 @t304 @t303)) % 1.20/1.40 (define @t308 () (tptp.k8_filter_1 @t1 @t11)) % 1.20/1.40 (define @t309 () (tptp.k10_filter_1 @t1 @t11 @t45 @t115)) % 1.20/1.40 (define @t310 () (tptp.element @t115 @t186)) % 1.20/1.40 (define @t311 () (tptp.lattice @t11)) % 1.20/1.40 (define @t312 () (not (tptp.empty_carrier @t11))) % 1.20/1.40 (define @t313 () (and @t59 @t61 @t10 @t312 @t311 @t188 @t100 @t310)) % 1.20/1.40 (define @t314 () (tptp.ordered_pair_as_product_element @t1 @t11 @t45 @t115)) % 1.20/1.40 (define @t315 () (tptp.element @t45 @t1)) % 1.20/1.40 (define @t316 () (and @t94 @t92 @t315 (tptp.element @t115 @t11))) % 1.20/1.40 (define @t317 () (tptp.strict_latt_str @t187)) % 1.20/1.40 (define @t318 () (tptp.k1_pcomps_1 @t1)) % 1.20/1.40 (define @t319 () (and @t161 @t160)) % 1.20/1.40 (define @t320 () (tptp.apply_binary_as_element @t1 @t11 @t45 @t115 @t129 @t234)) % 1.20/1.40 (define @t321 () (tptp.function @t115)) % 1.20/1.40 (define @t322 () (and @t94 @t92 @t321 (tptp.quasi_total @t115 @t70 @t45) (tptp.relation_of2 @t115 @t70 @t45) (tptp.element @t129 @t1) (tptp.element @t234 @t11))) % 1.20/1.40 (define @t323 () (@list @t1 @t11 @t45 @t115 @t129 @t234)) % 1.20/1.40 (define @t324 () (tptp.antisymmetric_relstr @t222)) % 1.20/1.40 (define @t325 () (tptp.transitive_relstr @t222)) % 1.20/1.40 (define @t326 () (tptp.reflexive_relstr @t222)) % 1.20/1.40 (define @t327 () (tptp.strict_rel_str @t222)) % 1.20/1.40 (define @t328 () (tptp.relation @t281)) % 1.20/1.40 (define @t329 () (tptp.relation @t290)) % 1.20/1.40 (define @t330 () (and @t67 @t123)) % 1.20/1.40 (define @t331 () (tptp.powerset @t11)) % 1.20/1.40 (define @t332 () (tptp.relation_rng_as_subset @t1 @t11 @t45)) % 1.20/1.40 (define @t333 () (tptp.union_of_subsets @t1 @t11)) % 1.20/1.40 (define @t334 () (tptp.identity_as_relation_of @t1)) % 1.20/1.40 (define @t335 () (tptp.relation @t121)) % 1.20/1.40 (define @t336 () (tptp.meet_of_subsets @t1 @t11)) % 1.20/1.40 (define @t337 () (tptp.subset_difference @t1 @t11 @t45)) % 1.20/1.40 (define @t338 () (tptp.relation @t135)) % 1.20/1.40 (define @t339 () (tptp.apply_as_element @t1 @t11 @t45 @t115)) % 1.20/1.40 (define @t340 () (and @t94 @t47 @t46 @t50 (tptp.element @t115 @t1))) % 1.20/1.40 (define @t341 () (tptp.relation @t146)) % 1.20/1.40 (define @t342 () (and @t59 @t171 @t161 @t101)) % 1.20/1.40 (define @t343 () (tptp.cartesian_product2 @t3 @t3)) % 1.20/1.40 (define @t344 () (tptp.quasi_total @t7 @t343 @t3)) % 1.20/1.40 (define @t345 () (tptp.function @t7)) % 1.20/1.40 (define @t346 () (tptp.quasi_total @t8 @t343 @t3)) % 1.20/1.40 (define @t347 () (tptp.function @t8)) % 1.20/1.40 (define @t348 () (tptp.finite @t105)) % 1.20/1.40 (define @t349 () (tptp.relation_composition @t11 @t1)) % 1.20/1.40 (define @t350 () (and @t30 @t123)) % 1.20/1.40 (define @t351 () (tptp.relation_empty_yielding tptp.empty_set)) % 1.20/1.40 (define @t352 () (tptp.relation tptp.empty_set)) % 1.20/1.40 (define @t353 () (tptp.empty tptp.empty_set)) % 1.20/1.40 (define @t354 () (tptp.relation_empty_yielding @t1)) % 1.20/1.40 (define @t355 () (and @t67 @t354)) % 1.20/1.40 (define @t356 () (not (tptp.empty @t194))) % 1.20/1.40 (define @t357 () (not (tptp.empty @t32))) % 1.20/1.40 (define @t358 () (not (tptp.empty_carrier @t187))) % 1.20/1.40 (define @t359 () (not (tptp.empty @t195))) % 1.20/1.40 (define @t360 () (and @t59 @t128)) % 1.20/1.40 (define @t361 () (tptp.v1_membered @t105)) % 1.20/1.40 (define @t362 () (tptp.v1_membered @t104)) % 1.20/1.40 (define @t363 () (tptp.v2_membered @t105)) % 1.20/1.40 (define @t364 () (tptp.ordinal @t195)) % 1.20/1.40 (define @t365 () (tptp.epsilon_connected @t195)) % 1.20/1.40 (define @t366 () (tptp.epsilon_transitive @t195)) % 1.20/1.40 (define @t367 () (tptp.function @t121)) % 1.20/1.40 (define @t368 () (tptp.v1_partfun1 @t8 @t343 @t3)) % 1.20/1.40 (define @t369 () (tptp.relation @t8)) % 1.20/1.40 (define @t370 () (and @t59 @t57 @t102)) % 1.20/1.40 (define @t371 () (tptp.reflexive_relstr @t1)) % 1.20/1.40 (define @t372 () (and @t171 @t161 @t160)) % 1.20/1.40 (define @t373 () (tptp.v2_membered @t104)) % 1.20/1.40 (define @t374 () (tptp.v3_membered @t105)) % 1.20/1.40 (define @t375 () (tptp.v3_membered @t104)) % 1.20/1.40 (define @t376 () (tptp.v4_membered @t105)) % 1.20/1.40 (define @t377 () (tptp.v4_membered @t104)) % 1.20/1.40 (define @t378 () (tptp.v1_membered @t265)) % 1.20/1.40 (define @t379 () (tptp.v2_membered @t265)) % 1.20/1.40 (define @t380 () (tptp.v3_membered @t265)) % 1.20/1.40 (define @t381 () (tptp.transitive @t11)) % 1.20/1.40 (define @t382 () (tptp.antisymmetric @t11)) % 1.20/1.40 (define @t383 () (tptp.open_subset @t208 @t1)) % 1.20/1.40 (define @t384 () (tptp.v4_membered @t265)) % 1.20/1.40 (define @t385 () (tptp.v1_partfun1 @t7 @t343 @t3)) % 1.20/1.40 (define @t386 () (tptp.relation @t7)) % 1.20/1.40 (define @t387 () (tptp.closed_subset @t208 @t1)) % 1.20/1.40 (define @t388 () (and @t123 @t86)) % 1.20/1.40 (define @t389 () (and @t171 @t161)) % 1.20/1.40 (define @t390 () (tptp.empty @t138)) % 1.20/1.40 (define @t391 () (and @t94 @t67)) % 1.20/1.40 (define @t392 () (tptp.empty @t267)) % 1.20/1.40 (define @t393 () (tptp.open_subset @t209 @t1)) % 1.20/1.40 (define @t394 () (tptp.element @t45 @t186)) % 1.20/1.40 (define @t395 () (and @t312 @t311 @t188)) % 1.20/1.40 (define @t396 () (= @t1 @t115)) % 1.20/1.40 (define @t397 () (exists @t141 (and @t310 @t396 (tptp.latt_set_smaller @t11 @t115 @t45)))) % 1.20/1.40 (define @t398 () (= @t1 @t45)) % 1.20/1.40 (define @t399 () (and @t398 @t224)) % 1.20/1.40 (define @t400 () (= @t45 @t234)) % 1.20/1.40 (define @t401 () (@list @t115 @t129 @t234)) % 1.20/1.40 (define @t402 () (tptp.subset_union2 @t1 @t11 @t11)) % 1.20/1.40 (define @t403 () (=> @t111 (= @t402 @t11))) % 1.20/1.40 (define @t404 () (forall @t51 @t403)) % 1.20/1.40 (define @t405 () (tptp.in @t11 @t147)) % 1.20/1.40 (define @t406 () (tptp.disjoint @t194 @t11)) % 1.20/1.40 (define @t407 () (not @t14)) % 1.20/1.40 (define @t408 () (tptp.well_ordering @t11)) % 1.20/1.40 (define @t409 () (tptp.in (tptp.ordered_pair @t45 @t11) @t1)) % 1.20/1.40 (define @t410 () (tptp.singleton @t45)) % 1.20/1.40 (define @t411 () (not @t178)) % 1.20/1.40 (define @t412 () (tptp.singleton @t11)) % 1.20/1.40 (define @t413 () (tptp.union @t11)) % 1.20/1.40 (define @t414 () (tptp.in @t1 @t45)) % 1.20/1.40 (define @t415 () (tptp.element @t1 @t331)) % 1.20/1.40 (define @t416 () (tptp.relation_dom_restriction @t45 @t1)) % 1.20/1.40 (define @t417 () (tptp.in @t11 (tptp.relation_dom @t416))) % 1.20/1.40 (define @t418 () (tptp.proper_element @t11 @t32)) % 1.20/1.40 (define @t419 () (tptp.set_union2 @t11 @t45)) % 1.20/1.40 (define @t420 () (tptp.set_intersection2 @t11 @t45)) % 1.20/1.40 (define @t421 () (tptp.set_difference @t11 @t45)) % 1.20/1.40 (define @t422 () (tptp.below_refl @t1 @t11 @t45)) % 1.20/1.40 (define @t423 () (and @t59 @t55 @t53 @t52 @t10 @t101 @t100)) % 1.20/1.40 (define @t424 () (and @t59 @t371 @t5 @t101 @t100)) % 1.20/1.40 (define @t425 () (@var "K" $$unsorted)) % 1.20/1.40 (define @t426 () (@var "J" $$unsorted)) % 1.20/1.40 (define @t427 () (tptp.in @t425 @t426)) % 1.20/1.40 (define @t428 () (@list @t425)) % 1.20/1.40 (define @t429 () (@list @t426)) % 1.20/1.40 (define @t430 () (= @t115 @t129)) % 1.20/1.40 (define @t431 () (@var "I" $$unsorted)) % 1.20/1.40 (define @t432 () (@var "H" $$unsorted)) % 1.20/1.40 (define @t433 () (tptp.in @t431 @t432)) % 1.20/1.40 (define @t434 () (@list @t431)) % 1.20/1.40 (define @t435 () (@list @t432)) % 1.20/1.40 (define @t436 () (exists @t435 (and (= @t45 @t432) (tptp.in @t129 @t432) (forall @t434 (=> @t433 (tptp.in (tptp.ordered_pair @t129 @t431) @t11)))))) % 1.20/1.40 (define @t437 () (@var "G" $$unsorted)) % 1.20/1.40 (define @t438 () (tptp.in @t437 @t234)) % 1.20/1.40 (define @t439 () (@list @t437)) % 1.20/1.40 (define @t440 () (exists @t289 (and @t400 (tptp.in @t115 @t234) (forall @t439 (=> @t438 (tptp.in (tptp.ordered_pair @t115 @t437) @t11)))))) % 1.20/1.40 (define @t441 () (forall @t291 (=> (and @t117 @t440 @t117 @t436) @t430))) % 1.20/1.40 (define @t442 () (and @t94 @t123)) % 1.20/1.40 (define @t443 () (= @t115 @t412)) % 1.20/1.40 (define @t444 () (= @t45 @t412)) % 1.20/1.40 (define @t445 () (forall @t179 (=> (and @t12 @t444 @t12 @t443) @t116))) % 1.20/1.40 (define @t446 () (tptp.subset_complement @t3 @t432)) % 1.20/1.40 (define @t447 () (= @t432 @t115)) % 1.20/1.40 (define @t448 () (tptp.element @t432 @t156)) % 1.20/1.40 (define @t449 () (forall @t435 (=> @t448 (=> @t447 (= @t129 @t446))))) % 1.20/1.40 (define @t450 () (tptp.complements_of_subsets @t3 @t11)) % 1.20/1.40 (define @t451 () (tptp.in @t115 @t450)) % 1.20/1.40 (define @t452 () (tptp.element @t437 @t156)) % 1.20/1.40 (define @t453 () (forall @t439 (=> @t452 (=> (= @t437 @t45) (= @t129 (tptp.subset_complement @t3 @t437)))))) % 1.20/1.40 (define @t454 () (tptp.in @t45 @t450)) % 1.20/1.40 (define @t455 () (tptp.element @t234 @t156)) % 1.20/1.40 (define @t456 () (forall @t289 (=> @t455 (=> (= @t234 @t45) (= @t115 (tptp.subset_complement @t3 @t234)))))) % 1.20/1.40 (define @t457 () (forall @t291 (=> (and @t454 @t456 @t454 @t453) @t430))) % 1.20/1.40 (define @t458 () (and @t128 @t200)) % 1.20/1.40 (define @t459 () (forall @t291 (=> (and @t201 @t456 @t201 @t453) @t430))) % 1.20/1.40 (define @t460 () (tptp.ordinal @t45)) % 1.20/1.40 (define @t461 () (@var "S" $$unsorted)) % 1.20/1.40 (define @t462 () (@var "T" $$unsorted)) % 1.20/1.40 (define @t463 () (@var "R" $$unsorted)) % 1.20/1.40 (define @t464 () (tptp.powerset (tptp.powerset @t115))) % 1.20/1.40 (define @t465 () (@list @t463)) % 1.20/1.40 (define @t466 () (tptp.in @t115 tptp.omega)) % 1.20/1.40 (define @t467 () (tptp.ordinal @t115)) % 1.20/1.40 (define @t468 () (@var "P" $$unsorted)) % 1.20/1.40 (define @t469 () (@var "Q" $$unsorted)) % 1.20/1.40 (define @t470 () (@var "O" $$unsorted)) % 1.20/1.40 (define @t471 () (@list @t469)) % 1.20/1.40 (define @t472 () (@list @t468)) % 1.20/1.40 (define @t473 () (@list @t470)) % 1.20/1.40 (define @t474 () (@var "M" $$unsorted)) % 1.20/1.40 (define @t475 () (@var "N" $$unsorted)) % 1.20/1.40 (define @t476 () (@var "L" $$unsorted)) % 1.20/1.40 (define @t477 () (@list @t475)) % 1.20/1.40 (define @t478 () (tptp.in @t474 @t476)) % 1.20/1.40 (define @t479 () (@list @t474)) % 1.20/1.40 (define @t480 () (@list @t476)) % 1.20/1.40 (define @t481 () (tptp.succ @t115)) % 1.20/1.40 (define @t482 () (=> @t466 (forall @t139 (=> (tptp.element @t129 @t464) (not (and (not (= @t129 tptp.empty_set)) (forall @t289 (not (and (tptp.in @t234 @t129) (forall @t439 (=> (and (tptp.in @t437 @t129) (tptp.subset @t234 @t437)) (= @t437 @t234)))))))))))) % 1.20/1.40 (define @t483 () (tptp.subset @t11 @t45)) % 1.20/1.40 (define @t484 () (tptp.powerset tptp.empty_set)) % 1.20/1.40 (define @t485 () (tptp.apply @t45 @t234)) % 1.20/1.40 (define @t486 () (tptp.in @t234 @t1)) % 1.20/1.40 (define @t487 () (tptp.relation @t115)) % 1.20/1.40 (define @t488 () (and @t123 @t69 @t47)) % 1.20/1.40 (define @t489 () (forall @t428 (=> @t427 (tptp.in (tptp.ordered_pair @t115 @t425) @t11)))) % 1.20/1.40 (define @t490 () (tptp.in @t115 @t426)) % 1.20/1.40 (define @t491 () (= @t234 @t129)) % 1.20/1.40 (define @t492 () (tptp.cartesian_product2 @t1 @t45)) % 1.20/1.40 (define @t493 () (= @t129 @t234)) % 1.20/1.40 (define @t494 () (tptp.ordered_pair @t425 @t476)) % 1.20/1.40 (define @t495 () (@list @t425 @t476)) % 1.20/1.40 (define @t496 () (= @t115 @t234)) % 1.20/1.40 (define @t497 () (tptp.in @t426 @t431)) % 1.20/1.40 (define @t498 () (tptp.in @t437 @t1)) % 1.20/1.40 (define @t499 () (tptp.ordered_pair @t437 @t432)) % 1.20/1.40 (define @t500 () (= @t499 @t129)) % 1.20/1.40 (define @t501 () (@list @t437 @t432)) % 1.20/1.40 (define @t502 () (tptp.ordered_pair @t426 @t425)) % 1.20/1.40 (define @t503 () (@list @t426 @t425)) % 1.20/1.40 (define @t504 () (= @t129 @t115)) % 1.20/1.40 (define @t505 () (tptp.in @t432 @t1)) % 1.20/1.40 (define @t506 () (= @t45 @t129)) % 1.20/1.40 (define @t507 () (tptp.ordered_pair @t234 @t437)) % 1.20/1.40 (define @t508 () (@list @t234 @t437)) % 1.20/1.40 (define @t509 () (= @t115 @t45)) % 1.20/1.40 (define @t510 () (not (and (not (= @t234 tptp.empty_set)) (forall @t439 (not (and @t438 (forall @t435 (=> (and (tptp.in @t432 @t234) (tptp.subset @t437 @t432)) (= @t432 @t437))))))))) % 1.20/1.40 (define @t511 () (tptp.ordinal @t129)) % 1.20/1.40 (define @t512 () (tptp.subset @t11 @t115)) % 1.20/1.40 (define @t513 () (tptp.in @t129 @t156)) % 1.20/1.40 (define @t514 () (tptp.in (tptp.set_difference @t247 @t115) @t11)) % 1.20/1.40 (define @t515 () (and @t171 @t161 @t200)) % 1.20/1.40 (define @t516 () (tptp.in @t437 @t11)) % 1.20/1.40 (define @t517 () (and @t40 (tptp.element @t11 (tptp.powerset (tptp.powerset @t195))))) % 1.20/1.40 (define @t518 () (= @t115 @t446)) % 1.20/1.40 (define @t519 () (forall @t435 (=> @t448 (=> (= @t432 @t129) @t518)))) % 1.20/1.40 (define @t520 () (tptp.in @t129 @t450)) % 1.20/1.40 (define @t521 () (forall @t473 (=> (tptp.element @t470 @t156) (=> (= @t470 @t474) (= @t475 (tptp.subset_complement @t3 @t470)))))) % 1.20/1.40 (define @t522 () (= (tptp.ordered_pair @t474 @t475) @t129)) % 1.20/1.40 (define @t523 () (@list @t474 @t475)) % 1.20/1.40 (define @t524 () (tptp.cartesian_product2 @t450 @t45)) % 1.20/1.40 (define @t525 () (forall @t480 (=> (tptp.element @t476 @t156) (=> (= @t476 @t426) (= @t425 (tptp.subset_complement @t3 @t476)))))) % 1.20/1.40 (define @t526 () (= @t502 @t234)) % 1.20/1.40 (define @t527 () (tptp.subset_complement @t3 @t431)) % 1.20/1.40 (define @t528 () (tptp.element @t431 @t156)) % 1.20/1.40 (define @t529 () (forall @t434 (=> @t528 (=> (= @t431 @t437) (= @t432 @t527))))) % 1.20/1.40 (define @t530 () (tptp.cartesian_product2 @t11 @t45)) % 1.20/1.40 (define @t531 () (tptp.apply @t45 @t437)) % 1.20/1.40 (define @t532 () (tptp.in (tptp.relation_image @t45 @t129) @t11)) % 1.20/1.40 (define @t533 () (tptp.powerset @t262)) % 1.20/1.40 (define @t534 () (and @t294 @t69 @t47)) % 1.20/1.40 (define @t535 () (tptp.succ @t11)) % 1.20/1.40 (define @t536 () (= @t507 @t129)) % 1.20/1.40 (define @t537 () (exists @t139 (and @t157 @t504 (tptp.closed_subset @t129 @t1) @t512))) % 1.20/1.40 (define @t538 () (tptp.in @t115 @t156)) % 1.20/1.40 (define @t539 () (forall @t435 (=> @t448 (=> (= @t432 @t234) (= @t437 @t446))))) % 1.20/1.40 (define @t540 () (tptp.apply @t11 @t45)) % 1.20/1.40 (define @t541 () (= @t175 @t1)) % 1.20/1.40 (define @t542 () (exists @t20 (and @t123 @t86 @t541 (forall @t90 (=> @t117 (= @t540 @t410)))))) % 1.20/1.40 (define @t543 () (forall @t434 (=> @t528 (=> (= @t431 @t115) (= @t283 @t527))))) % 1.20/1.40 (define @t544 () (forall @t141 (not (forall @t435 (=> @t448 (=> (= @t432 @t45) @t518)))))) % 1.20/1.40 (define @t545 () (tptp.in @t1 tptp.omega)) % 1.20/1.40 (define @t546 () (tptp.element @t115 @t156)) % 1.20/1.40 (define @t547 () (= @t292 tptp.empty_set)) % 1.20/1.40 (define @t548 () (not (and @t220 @t547))) % 1.20/1.40 (define @t549 () (tptp.relation_rng @t146)) % 1.20/1.40 (define @t550 () (tptp.meet_of_subsets @t1 @t292)) % 1.20/1.40 (define @t551 () (tptp.union_of_subsets @t1 @t292)) % 1.20/1.40 (define @t552 () (forall @t90 (not (and @t238 (not (tptp.are_equipotent @t45 @t11)) @t244)))) % 1.20/1.40 (define @t553 () (tptp.powerset @t45)) % 1.20/1.40 (define @t554 () (forall @t120 (=> (and @t201 (tptp.subset @t115 @t45)) @t132))) % 1.20/1.40 (define @t555 () (tptp.meet_of_subsets @t3 @t11)) % 1.20/1.40 (define @t556 () (tptp.relation_dom_restriction @t45 @t11)) % 1.20/1.40 (define @t557 () (tptp.relation_image @t11 @t1)) % 1.20/1.40 (define @t558 () (tptp.relation_inverse_image @t11 @t1)) % 1.20/1.40 (define @t559 () (tptp.relation_image @t11 @t558)) % 1.20/1.40 (define @t560 () (tptp.set_intersection2 @t175 @t1)) % 1.20/1.40 (define @t561 () (tptp.subset @t1 @t176)) % 1.20/1.40 (define @t562 () (tptp.relation_of2_as_subset @t115 @t45 @t11)) % 1.20/1.40 (define @t563 () (tptp.relation_rng @t115)) % 1.20/1.40 (define @t564 () (tptp.relation_of2_as_subset @t115 @t45 @t1)) % 1.20/1.40 (define @t565 () (tptp.relation_rng @t290)) % 1.20/1.40 (define @t566 () (tptp.relation_inverse_image @t45 @t11)) % 1.20/1.40 (define @t567 () (tptp.relation_restriction @t45 @t11)) % 1.20/1.40 (define @t568 () (tptp.relation_restriction @t11 @t1)) % 1.20/1.40 (define @t569 () (tptp.relation_dom_restriction @t11 @t1)) % 1.20/1.40 (define @t570 () (tptp.relation_field @t45)) % 1.20/1.40 (define @t571 () (tptp.in @t1 @t570)) % 1.20/1.40 (define @t572 () (tptp.subset @t1 @t45)) % 1.20/1.40 (define @t573 () (tptp.the_carrier @t187)) % 1.20/1.40 (define @t574 () (tptp.element @t45 @t573)) % 1.20/1.40 (define @t575 () (tptp.element @t11 @t573)) % 1.20/1.40 (define @t576 () (tptp.element @t1 @t11)) % 1.20/1.40 (define @t577 () (tptp.in @t1 @t262)) % 1.20/1.40 (define @t578 () (tptp.in @t273 @t45)) % 1.20/1.40 (define @t579 () (tptp.relation_field @t568)) % 1.20/1.40 (define @t580 () (tptp.apply @t45 @t1)) % 1.20/1.40 (define @t581 () (tptp.relation_composition @t45 @t11)) % 1.20/1.40 (define @t582 () (tptp.in @t1 (tptp.relation_dom @t581))) % 1.20/1.40 (define @t583 () (tptp.apply @t115 @t45)) % 1.20/1.40 (define @t584 () (and @t321 (tptp.quasi_total @t115 @t1 @t11) (tptp.relation_of2_as_subset @t115 @t1 @t11))) % 1.20/1.40 (define @t585 () (tptp.connected @t11)) % 1.20/1.40 (define @t586 () (tptp.well_ordering @t568)) % 1.20/1.40 (define @t587 () (= @t579 @t1)) % 1.20/1.40 (define @t588 () (tptp.well_orders @t11 @t1)) % 1.20/1.40 (define @t589 () (tptp.cast_to_el_of_LattPOSet @t11 @t45)) % 1.20/1.40 (define @t590 () (tptp.poset_of_lattice @t11)) % 1.20/1.40 (define @t591 () (tptp.cast_to_el_of_lattice @t11 @t45)) % 1.20/1.40 (define @t592 () (tptp.element @t45 (tptp.the_carrier @t590))) % 1.20/1.40 (define @t593 () (tptp.well_founded_relation @t11)) % 1.20/1.40 (define @t594 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 1.20/1.40 (define @t595 () (and @t117 @t201)) % 1.20/1.40 (define @t596 () (not @t286)) % 1.20/1.40 (define @t597 () (= @t1 @t535)) % 1.20/1.40 (define @t598 () (tptp.subset_complement @t1 @t45)) % 1.20/1.40 (define @t599 () (tptp.disjoint @t11 @t45)) % 1.20/1.40 (define @t600 () (tptp.relation_dom @t290)) % 1.20/1.40 (define @t601 () (and (tptp.closed_subset @t115 @t1) @t512)) % 1.20/1.40 (define @t602 () (tptp.element @t11 @t553)) % 1.20/1.40 (define @t603 () (tptp.in @t45 @t105)) % 1.20/1.40 (define @t604 () (= @t158 @t11)) % 1.20/1.40 (define @t605 () (and (tptp.in @t45 @t267) (= @t115 @t540))) % 1.20/1.40 (define @t606 () (tptp.function_inverse @t11)) % 1.20/1.40 (define @t607 () (not (= @t11 @t1))) % 1.20/1.40 (define @t608 () (= @t418 @t607)) % 1.20/1.40 (define @t609 () (=> @t33 @t608)) % 1.20/1.40 (define @t610 () (forall @t15 @t609)) % 1.20/1.40 (define @t611 () (not @t610)) % 1.20/1.40 (define @t612 () (= @t267 tptp.empty_set)) % 1.20/1.40 (define @t613 () (= @t138 tptp.empty_set)) % 1.20/1.40 (define @t614 () (= (tptp.apply @t416 @t11) (tptp.apply @t45 @t11))) % 1.20/1.40 (define @t615 () (= @t194 (tptp.unordered_pair @t11 @t45))) % 1.20/1.40 (define @t616 () (tptp.union @t32)) % 1.20/1.40 (define @t617 () (forall @t6 (= @t616 @t1))) % 1.20/1.40 (define @t618 () (= @t295 @t418)) % 1.20/1.40 (define @t619 () (not @t33)) % 1.20/1.40 (define @t620 () (forall @t15 (or @t619 @t618))) % 1.20/1.40 (define @t621 () (@quantifiers_skolemize @t620 0)) % 1.20/1.40 (define @t622 () (@quantifiers_skolemize @t620 1)) % 1.20/1.40 (define @t623 () (tptp.powerset @t621)) % 1.20/1.40 (define @t624 () (tptp.element @t622 @t623)) % 1.20/1.40 (define @t625 () (tptp.proper_element @t622 @t623)) % 1.20/1.40 (define @t626 () (= @t621 @t622)) % 1.20/1.40 (define @t627 () (not @t626)) % 1.20/1.40 (define @t628 () (= @t627 @t625)) % 1.20/1.40 (define @t629 () (not @t624)) % 1.20/1.40 (define @t630 () (or @t629 @t628)) % 1.20/1.40 (define @t631 () (@list true)) % 1.20/1.40 (define @t632 () (@list @t630)) % 1.20/1.40 (define @t633 () (tptp.union @t623)) % 1.20/1.40 (define @t634 () (= @t622 @t633)) % 1.20/1.40 (define @t635 () (not @t634)) % 1.20/1.40 (define @t636 () (= @t625 @t635)) % 1.20/1.40 (define @t637 () (or @t629 @t636)) % 1.20/1.40 (define @t638 () (@list false false)) % 1.20/1.40 (define @t639 () (not @t636)) % 1.20/1.40 (define @t640 () (not @t635)) % 1.20/1.40 (define @t641 () (not @t625)) % 1.20/1.40 (define @t642 () (= @t11 @t402)) % 1.20/1.40 (define @t643 () (not @t110)) % 1.20/1.40 (define @t644 () (= @t622 (tptp.subset_union2 @t621 @t622 @t622))) % 1.20/1.40 (define @t645 () (or @t629 @t629 @t644)) % 1.20/1.40 (define @t646 () (= @t621 @t633)) % 1.20/1.40 (define @t647 () (not @t646)) % 1.20/1.40 (define @t648 () (not @t644)) % 1.20/1.40 (define @t649 () (and @t644 @t626 @t646 @t635)) % 1.20/1.40 (define @t650 () (and @t634 @t646)) % 1.20/1.40 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 1.20/1.40 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 1.20/1.40 (assume @p3 (forall @t15 (=> @t14 @t13))) % 1.20/1.40 (assume @p4 (forall @t15 (=> @t17 (not @t16)))) % 1.20/1.40 (assume @p5 (forall @t6 (=> @t21 (forall @t20 (=> @t19 @t18))))) % 1.20/1.40 (assume @p6 (forall @t6 (=> @t23 (forall @t20 (=> @t19 (and @t18 @t22)))))) % 1.20/1.40 (assume @p7 (forall @t6 (=> @t25 (forall @t20 (=> @t19 (and @t18 @t22 @t24)))))) % 1.20/1.40 (assume @p8 (forall @t6 (=> @t27 (forall @t20 (=> @t19 (and @t18 @t22 @t26 @t24)))))) % 1.20/1.40 (assume @p9 (forall @t6 (=> @t29 (forall @t20 (=> @t19 (and @t18 @t28 @t22 @t26 @t24)))))) % 1.20/1.40 (assume @p10 (forall @t6 (=> @t30 (and @t21 @t23 @t25 @t27 @t29)))) % 1.20/1.40 (assume @p11 (forall @t6 (=> @t21 (forall @t20 (=> @t33 @t31))))) % 1.20/1.40 (assume @p12 (forall @t6 (=> @t23 (forall @t20 (=> @t33 (and @t31 @t34)))))) % 1.20/1.40 (assume @p13 (forall @t6 (=> @t25 (forall @t20 (=> @t33 (and @t31 @t34 @t35)))))) % 1.20/1.40 (assume @p14 (forall @t6 (=> @t27 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36)))))) % 1.20/1.40 (assume @p15 (forall @t6 (=> @t40 (forall @t20 (=> @t19 (and @t39 @t38 @t37)))))) % 1.20/1.40 (assume @p16 (forall @t6 (=> @t30 @t41))) % 1.20/1.40 (assume @p17 (forall @t6 (=> @t43 @t42))) % 1.20/1.40 (assume @p18 (forall @t6 (=> @t30 @t44))) % 1.20/1.40 (assume @p19 (forall @t51 (=> @t50 (=> (and @t47 @t49) @t48)))) % 1.20/1.40 (assume @p20 (forall @t6 (=> @t10 (=> @t62 @t60)))) % 1.20/1.40 (assume @p21 (forall @t6 (=> @t29 @t27))) % 1.20/1.40 (assume @p22 (forall @t6 (=> @t40 @t65))) % 1.20/1.40 (assume @p23 (forall @t6 (=> (and @t67 (tptp.symmetric @t1) @t68) (and @t67 @t66)))) % 1.20/1.40 (assume @p24 (forall @t6 (=> @t30 @t67))) % 1.20/1.40 (assume @p25 (forall @t51 (=> @t71 @t69))) % 1.20/1.40 (assume @p26 (forall @t6 (=> @t29 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36 (tptp.v5_membered @t11))))))) % 1.20/1.40 (assume @p27 (forall @t6 (=> (and @t30 @t40) @t73))) % 1.20/1.40 (assume @p28 (forall @t6 (=> @t41 (forall @t20 (=> @t33 @t74))))) % 1.20/1.40 (assume @p29 (forall @t6 (=> @t42 @t43))) % 1.20/1.40 (assume @p30 (forall @t6 (=> @t77 @t76))) % 1.20/1.40 (assume @p31 (forall @t51 (=> @t50 (=> @t80 @t79)))) % 1.20/1.40 (assume @p32 (forall @t6 (=> @t10 (=> @t60 @t62)))) % 1.20/1.40 (assume @p33 (forall @t6 (=> @t27 @t25))) % 1.20/1.40 (assume @p34 (forall @t6 (=> @t65 @t40))) % 1.20/1.40 (assume @p35 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t73))) % 1.20/1.40 (assume @p36 (forall @t51 (=> @t50 (=> @t79 @t80)))) % 1.20/1.40 (assume @p37 (forall @t6 (=> @t25 @t23))) % 1.20/1.40 (assume @p38 (forall @t6 (=> @t30 @t81))) % 1.20/1.40 (assume @p39 (forall @t15 (=> @t89 (=> (and @t86 @t88 @t87 @t84) (and @t86 @t85 @t84 @t83 @t82))))) % 1.20/1.40 (assume @p40 (forall @t6 (=> @t23 @t21))) % 1.20/1.40 (assume @p41 (forall @t15 (=> @t92 (forall @t90 (=> @t50 (=> @t48 (and @t47 @t49 @t46))))))) % 1.20/1.40 (assume @p42 (forall @t15 (=> @t95 (forall @t90 (=> @t50 (=> @t48 (and @t47 (not @t93) @t49 @t46))))))) % 1.20/1.40 (assume @p43 (forall @t15 (= @t96 (tptp.unordered_pair @t11 @t1)))) % 1.20/1.40 (assume @p44 (forall @t15 (= @t98 @t97))) % 1.20/1.40 (assume @p45 (forall @t51 (=> @t103 (= @t99 (tptp.join_commut @t1 @t45 @t11))))) % 1.20/1.40 (assume @p46 (forall @t15 (= @t105 @t104))) % 1.20/1.40 (assume @p47 (forall @t51 (=> @t108 (= @t106 (tptp.meet_commut @t1 @t45 @t11))))) % 1.20/1.40 (assume @p48 (forall @t51 (=> @t111 (= @t109 (tptp.subset_union2 @t1 @t45 @t11))))) % 1.20/1.40 (assume @p49 (forall @t51 (=> @t111 (= @t112 (tptp.subset_intersection2 @t1 @t45 @t11))))) % 1.20/1.40 (assume @p50 (forall @t15 (=> @t114 (or @t113 (tptp.ordinal_subset @t11 @t1))))) % 1.20/1.40 (assume @p51 (forall @t15 (=> @t123 (= @t122 (forall @t120 (= @t119 (and @t117 @t116))))))) % 1.20/1.40 (assume @p52 (forall @t15 (= @t126 (and @t125 @t124)))) % 1.20/1.40 (assume @p53 (forall @t6 (=> @t128 (= @t127 (tptp.identity_as_relation_of @t3))))) % 1.20/1.40 (assume @p54 (forall @t6 (=> @t67 (forall @t136 (=> @t69 (= (= @t45 @t135) (forall @t134 (= @t133 (and @t132 @t131))))))))) % 1.20/1.40 (assume @p55 (forall @t6 (=> @t144 (forall @t136 (= @t143 (forall @t141 (= @t140 (exists @t139 (and (tptp.in @t129 @t138) @t137 (= @t115 (tptp.apply @t1 @t129))))))))))) % 1.20/1.40 (assume @p56 (forall @t15 (=> @t123 (forall @t90 (=> @t69 (= (= @t45 @t146) (forall @t134 (= @t133 (and @t145 (tptp.in @t130 @t11)))))))))) % 1.20/1.40 (assume @p57 (forall @t6 (=> @t67 (= @t148 (tptp.is_antisymmetric_in @t1 @t147))))) % 1.20/1.40 (assume @p58 (forall @t6 (=> @t144 (forall @t136 (= @t151 (forall @t141 (= @t140 (and @t150 (tptp.in @t149 @t11))))))))) % 1.20/1.40 (assume @p59 (forall @t6 (=> @t155 (= @t154 (exists @t20 (and @t101 @t153)))))) % 1.20/1.40 (assume @p60 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (forall @t90 (=> @t159 (= (= @t45 @t158) (forall @t141 (=> (tptp.in @t115 @t3) (= @t140 (forall @t139 (=> @t157 (not (and (tptp.open_subset @t129 @t1) (tptp.in @t115 @t129) (tptp.disjoint @t11 @t129)))))))))))))))) % 1.20/1.40 (assume @p61 (forall @t6 (=> @t67 (forall @t136 (= @t143 (forall @t141 (= @t140 (exists @t139 (and (tptp.in @t162 @t1) @t137))))))))) % 1.20/1.40 (assume @p62 (forall @t6 (=> @t67 (forall @t136 (= @t151 (forall @t141 (= @t140 (exists @t139 (and @t131 @t137))))))))) % 1.20/1.40 (assume @p63 (forall @t6 (=> @t67 (= @t163 (tptp.is_connected_in @t1 @t147))))) % 1.20/1.40 (assume @p64 (forall @t6 (=> @t166 (forall @t20 (=> @t101 (forall @t90 (= @t165 (forall @t141 (=> @t164 (=> @t140 (tptp.below @t1 @t11 @t115))))))))))) % 1.20/1.40 (assume @p65 (forall @t6 (=> @t155 (=> @t154 (forall @t20 (=> @t101 (= (= @t11 @t167) @t153))))))) % 1.20/1.40 (assume @p66 (forall @t6 (=> @t67 (= @t68 (tptp.is_transitive_in @t1 @t147))))) % 1.20/1.40 (assume @p67 (forall @t6 (=> @t166 (forall @t20 (=> @t101 (forall @t90 (= (tptp.latt_element_smaller @t1 @t11 @t45) (forall @t141 (=> @t164 (=> @t140 (tptp.below @t1 @t115 @t11))))))))))) % 1.20/1.40 (assume @p68 (forall @t6 (=> @t144 (forall @t136 (= (tptp.apply_binary @t1 @t11 @t45) (tptp.apply @t1 @t168)))))) % 1.20/1.40 (assume @p69 (forall @t6 (=> @t172 (forall @t20 (=> @t101 (forall @t90 (=> @t159 (= @t170 (tptp.in @t11 @t169))))))))) % 1.20/1.40 (assume @p70 (forall @t174 (= (= @t115 (tptp.unordered_triple @t1 @t11 @t45)) (forall @t139 (= @t173 (not (and (not (= @t129 @t1)) (not (= @t129 @t11)) (not (= @t129 @t45))))))))) % 1.20/1.40 (assume @p71 (forall @t6 (= @t41 (exists @t20 (and @t123 @t86 (= @t176 @t1) (tptp.in @t175 tptp.omega)))))) % 1.20/1.40 (assume @p72 (forall @t6 (= @t44 (forall @t179 (=> (and @t178 @t177) @t116))))) % 1.20/1.40 (assume @p73 (forall @t51 (=> @t184 (and (=> (=> @t182 @t181) (= @t46 (= @t1 @t183))) (=> @t182 (or @t181 (= @t46 @t180))))))) % 1.20/1.40 (assume @p74 (forall @t15 (=> (and (tptp.strict_latt_str @t11) @t188) (= (= @t11 @t187) (and (= @t186 @t32) (forall @t90 (=> @t110 (forall @t141 (=> @t185 (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)))))))))))) % 1.20/1.40 (assume @p75 (forall @t6 (=> @t190 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t189 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t45))))))))) % 1.20/1.40 (assume @p76 (forall @t6 (=> @t193 (forall @t20 (= (= @t11 (tptp.pair_first @t1)) (forall @t120 (=> @t192 @t191))))))) % 1.20/1.40 (assume @p77 (forall @t6 (= @t195 (tptp.set_union2 @t1 @t194)))) % 1.20/1.40 (assume @p78 (forall @t6 (=> @t161 (= @t171 (and (tptp.in @t3 @t196) (forall @t20 (=> @t200 (=> (tptp.subset @t11 @t196) (tptp.in @t198 @t196)))) (forall @t20 (=> @t160 (forall @t90 (=> @t159 (=> (and @t197 (tptp.in @t45 @t196)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t45) @t196))))))))))) % 1.20/1.40 (assume @p79 (forall @t6 (= @t67 (forall @t20 (not (and @t12 (forall @t120 (not (= @t11 @t118))))))))) % 1.20/1.40 (assume @p80 (forall @t6 (=> @t67 (forall @t20 (= @t202 (forall @t90 (=> @t201 (tptp.in (tptp.ordered_pair @t45 @t45) @t1)))))))) % 1.20/1.40 (assume @p81 (forall @t51 (= @t50 (tptp.subset @t45 @t70)))) % 1.20/1.40 (assume @p82 (forall @t15 (and (=> @t206 (= @t203 (forall @t90 (= @t201 (forall @t141 (=> @t205 @t204)))))) (=> @t181 (= @t203 @t182))))) % 1.20/1.40 (assume @p83 (forall @t6 (=> @t128 (= @t58 @t207)))) % 1.20/1.40 (assume @p84 (forall @t15 (= (= @t11 @t194) (forall @t90 (= @t201 (= @t45 @t1)))))) % 1.20/1.40 (assume @p85 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (= @t209 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t208)))))))) % 1.20/1.40 (assume @p86 (forall @t6 (=> @t161 (forall @t20 (=> @t200 (= @t211 (forall @t90 (=> @t159 (=> @t201 @t210))))))))) % 1.20/1.40 (assume @p87 (forall @t6 (=> @t67 (forall @t136 (= (= @t45 (tptp.fiber @t1 @t11)) (forall @t141 (= @t140 (and (not @t212) (tptp.in (tptp.ordered_pair @t115 @t11) @t1))))))))) % 1.20/1.40 (assume @p88 (forall @t15 (=> @t123 (= (= @t11 @t215) (and (= @t214 @t1) (forall @t120 (=> (and @t117 @t205) (= @t119 @t213)))))))) % 1.20/1.40 (assume @p89 (forall @t6 (= @t181 (forall @t20 @t13)))) % 1.20/1.40 (assume @p90 (forall @t15 (= (= @t11 @t32) (forall @t90 (= @t201 (tptp.subset @t45 @t1)))))) % 1.20/1.40 (assume @p91 (forall @t6 (=> @t166 (=> @t217 (forall @t136 (=> @t100 (= (= @t45 @t216) (and (tptp.latt_element_smaller @t1 @t45 @t11) (forall @t141 (=> @t164 (=> (tptp.latt_element_smaller @t1 @t115 @t11) (tptp.below @t1 @t45 @t115)))))))))))) % 1.20/1.40 (assume @p92 (forall @t6 (=> @t166 (forall @t20 (= @t218 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 1.20/1.40 (assume @p93 (forall @t6 (= (tptp.centered @t1) (and @t206 (forall @t20 (not (and @t220 @t124 @t74 (= @t219 tptp.empty_set)))))))) % 1.20/1.40 (assume @p94 (forall @t6 (=> @t223 (= @t222 (tptp.rel_str_of @t3 @t221))))) % 1.20/1.40 (assume @p95 (forall @t6 (=> @t155 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t152 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t45))))))))) % 1.20/1.40 (assume @p96 (forall @t6 (=> @t193 (forall @t20 (= (= @t11 (tptp.pair_second @t1)) (forall @t120 (=> @t192 @t224))))))) % 1.20/1.40 (assume @p97 (forall @t6 (= @t64 (forall @t20 (=> @t12 @t124))))) % 1.20/1.40 (assume @p98 (forall @t6 (=> @t128 (= @t225 tptp.empty_set)))) % 1.20/1.40 (assume @p99 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t126 (forall @t120 (= @t226 @t119)))))))) % 1.20/1.40 (assume @p100 (forall @t15 (and (=> @t94 (= @t19 @t12)) (=> @t30 (= @t19 @t91))))) % 1.20/1.40 (assume @p101 (forall @t51 (= (= @t45 @t96) (forall @t141 (= @t140 (or (= @t115 @t1) @t212)))))) % 1.20/1.40 (assume @p102 @t230) % 1.20/1.40 (assume @p103 (forall @t6 (=> @t161 (forall @t20 (=> @t200 (= @t232 @t231)))))) % 1.20/1.40 (assume @p104 (forall @t6 (=> @t67 (= @t233 (forall @t20 (not (and (tptp.subset @t11 @t147) @t220 (forall @t90 (not (and @t201 (tptp.disjoint (tptp.fiber @t1 @t45) @t11))))))))))) % 1.20/1.40 (assume @p105 (forall @t51 (= (= @t45 @t98) (forall @t141 (= @t140 (or @t205 @t132)))))) % 1.20/1.40 (assume @p106 (forall @t51 (= (= @t45 @t70) (forall @t141 (= @t140 (exists @t237 (and @t145 @t236 (= @t115 @t235)))))))) % 1.20/1.40 (assume @p107 (forall @t6 (=> @t161 (= @t241 (forall @t20 (=> @t200 (not (and @t240 @t211 (forall @t90 (=> @t239 (not (and @t238 (tptp.is_a_cover_of_carrier @t1 @t45) (tptp.finite @t45))))))))))))) % 1.20/1.40 (assume @p108 (forall @t6 (=> @t223 (forall @t20 (=> @t101 (= @t242 @t11)))))) % 1.20/1.40 (assume @p109 (forall @t6 (=> @t190 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t243 (= @t189 @t45))))))))) % 1.20/1.40 (assume @p110 (forall @t6 (= @t63 (forall @t136 (not (and @t12 @t117 (not @t246) @t245 @t244)))))) % 1.20/1.40 (assume @p111 (forall @t6 (=> @t128 (= @t247 @t3)))) % 1.20/1.40 (assume @p112 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t125 (forall @t120 (=> @t226 @t119)))))))) % 1.20/1.40 (assume @p113 (forall @t15 (= @t125 @t248))) % 1.20/1.40 (assume @p114 (forall @t6 (=> @t67 (forall @t20 (= @t250 (forall @t90 (not (and @t238 @t249 (forall @t141 (not (and @t140 (tptp.disjoint (tptp.fiber @t1 @t115) @t45)))))))))))) % 1.20/1.40 (assume @p115 (forall @t51 (= (= @t45 @t105) (forall @t141 (= @t140 (and @t205 @t132)))))) % 1.20/1.40 (assume @p116 (forall @t6 (=> @t144 (forall @t136 (and (=> @t253 (= @t252 @t178)) (=> (not @t253) (= @t252 @t180))))))) % 1.20/1.40 (assume @p117 (forall @t6 (=> @t223 (forall @t20 (=> @t256 (= @t254 @t11)))))) % 1.20/1.40 (assume @p118 (forall @t6 (= @t40 @t65))) % 1.20/1.40 (assume @p119 (forall @t6 (=> @t67 (forall @t20 (= (= @t11 @t138) (forall @t90 (= @t201 (exists @t141 @t226)))))))) % 1.20/1.40 (assume @p120 (forall @t6 (=> @t67 (forall @t20 (= @t258 (forall @t120 (=> (and @t201 @t132 @t226 @t257) @t116))))))) % 1.20/1.40 (assume @p121 (forall @t6 (= @t259 @t1))) % 1.20/1.40 (assume @p122 (forall @t15 (= @t228 (forall @t90 (= @t201 (exists @t141 (and @t204 @t205))))))) % 1.20/1.40 (assume @p123 (forall @t6 (=> @t67 (= @t260 (and @t66 @t68 @t148 @t163 @t233))))) % 1.20/1.40 (assume @p124 (forall @t15 (= @t264 (exists @t90 (and @t69 @t47 @t78 @t263 (= @t261 @t11)))))) % 1.20/1.40 (assume @p125 (forall @t51 (= (= @t45 @t265) (forall @t141 (= @t140 (and @t205 (not @t132))))))) % 1.20/1.40 (assume @p126 (forall @t6 (=> @t144 (forall @t20 (= @t268 (forall @t90 (= @t201 (exists @t141 @t266)))))))) % 1.20/1.40 (assume @p127 (forall @t6 (=> @t5 (= @t269 (tptp.is_transitive_in @t2 @t3))))) % 1.20/1.40 (assume @p128 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t270 @t40 (forall @t20 (=> @t37 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t125))))))) % 1.20/1.40 (assume @p129 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (= @t271 @t197)))))) % 1.20/1.40 (assume @p130 (forall @t6 (=> @t67 (forall @t20 (= @t268 (forall @t90 (= @t201 (exists @t141 @t257)))))))) % 1.20/1.40 (assume @p131 (forall @t15 (=> @t33 (= @t272 @t265)))) % 1.20/1.40 (assume @p132 (forall @t15 (= @t273 (tptp.unordered_pair @t96 @t194)))) % 1.20/1.40 (assume @p133 (forall @t6 (=> @t67 (forall @t20 (= (tptp.well_orders @t1 @t11) (and @t202 @t275 @t258 @t274 @t250)))))) % 1.20/1.40 (assume @p134 (forall @t6 (=> @t5 (= @t276 (tptp.is_antisymmetric_in @t2 @t3))))) % 1.20/1.40 (assume @p135 (forall @t6 (= @t270 (= @t1 @t227)))) % 1.20/1.40 (assume @p136 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (= @t278 (tptp.open_subset @t277 @t1))))))) % 1.20/1.40 (assume @p137 (forall @t6 (=> @t67 (= @t147 (tptp.set_union2 @t138 @t267))))) % 1.20/1.40 (assume @p138 (forall @t6 (=> @t67 (forall @t20 (= @t274 (forall @t120 (not (and @t201 @t132 (not @t116) (not @t226) (not @t257))))))))) % 1.20/1.40 (assume @p139 (forall @t6 (=> @t67 (forall @t20 (= @t280 (tptp.set_intersection2 @t1 @t279)))))) % 1.20/1.40 (assume @p140 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= (= @t11 @t281) (forall @t120 (= @t119 @t257)))))))) % 1.20/1.40 (assume @p141 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t285 (= @t284 (and (= @t262 @t147) (= @t261 @t214) @t78 (forall @t134 (= @t131 (and (tptp.in @t115 @t147) (tptp.in @t129 @t147) (tptp.in (tptp.ordered_pair @t283 @t282) @t11))))))))))))) % 1.20/1.40 (assume @p142 (forall @t15 (= @t286 (= @t105 tptp.empty_set)))) % 1.20/1.40 (assume @p143 (forall @t6 (=> @t223 (= @t287 (tptp.a_1_0_filter_1 @t1))))) % 1.20/1.40 (assume @p144 (forall @t6 (=> @t144 (= @t75 (forall @t136 (=> (and @t253 (tptp.in @t45 @t138) (= @t251 (tptp.apply @t1 @t45))) @t191)))))) % 1.20/1.40 (assume @p145 (forall @t6 (=> @t5 (forall @t136 (=> @t100 (= (tptp.relstr_element_smaller @t1 @t11 @t45) (forall @t141 (=> @t164 (=> @t132 @t288))))))))) % 1.20/1.40 (assume @p146 (forall @t6 (=> @t166 (= @t53 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= (tptp.join @t1 @t152 @t45) @t45))))))))) % 1.20/1.40 (assume @p147 (forall @t6 (=> @t128 (forall @t20 (=> @t200 (= @t240 (= @t247 @t198))))))) % 1.20/1.40 (assume @p148 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t69 (= (= @t45 @t290) (forall @t134 (= @t133 (exists @t289 (and (tptp.in (tptp.ordered_pair @t115 @t234) @t1) (tptp.in (tptp.ordered_pair @t234 @t129) @t11))))))))))))) % 1.20/1.40 (assume @p149 (forall @t6 (=> @t67 (forall @t20 (= @t275 (forall @t291 (=> (and @t201 @t132 @t137 @t226 @t131) (tptp.in (tptp.ordered_pair @t45 @t129) @t1)))))))) % 1.20/1.40 (assume @p150 (forall @t15 (=> @t294 (forall @t90 (=> (tptp.element @t45 @t293) (= (= @t45 @t292) (forall @t141 (=> @t185 (= @t140 (tptp.in (tptp.subset_complement @t1 @t115) @t11)))))))))) % 1.20/1.40 (assume @p151 (forall @t15 (= @t17 (and @t125 @t295)))) % 1.20/1.40 (assume @p152 (forall @t6 (=> @t144 (=> @t75 (= @t296 @t281))))) % 1.20/1.40 (assume @p153 (forall @t6 (=> @t5 (forall @t136 (=> @t100 (= (tptp.relstr_set_smaller @t1 @t11 @t45) (forall @t141 (=> @t164 (=> @t132 (tptp.related @t1 @t115 @t45)))))))))) % 1.20/1.40 (assume @p154 (forall @t6 (=> @t5 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t297 (tptp.in @t168 @t2))))))))) % 1.20/1.40 (assume @p155 (forall @t6 (=> @t67 (= @t66 (tptp.is_reflexive_in @t1 @t147))))) % 1.20/1.40 (assume @p156 (forall @t15 (=> @t89 (and @t299 (tptp.rel_str @t298))))) % 1.20/1.40 (assume @p157 (forall @t51 (=> @t307 (and @t301 (tptp.latt_str @t300))))) % 1.20/1.40 (assume @p158 (forall @t174 (=> @t313 (tptp.element @t309 (tptp.the_carrier @t308))))) % 1.20/1.40 (assume @p159 true) % 1.20/1.40 (assume @p160 (forall @t15 (=> @t166 (tptp.element @t216 @t3)))) % 1.20/1.40 (assume @p161 (forall @t15 (=> @t166 (tptp.element @t218 @t3)))) % 1.20/1.40 (assume @p162 (forall @t174 (=> @t316 (tptp.element @t314 @t70)))) % 1.20/1.40 (assume @p163 (forall @t6 (and @t317 (tptp.latt_str @t187)))) % 1.20/1.40 (assume @p164 (forall @t51 (=> (and @t59 @t102 @t101 @t100) (tptp.element @t189 @t3)))) % 1.20/1.40 (assume @p165 (forall @t6 (tptp.element @t318 @t293))) % 1.20/1.40 (assume @p166 (forall @t6 (=> @t128 (tptp.element @t225 @t156)))) % 1.20/1.40 (assume @p167 (forall @t15 (=> @t319 (tptp.element @t209 @t156)))) % 1.20/1.40 (assume @p168 (forall @t6 (tptp.relation @t215))) % 1.20/1.40 (assume @p169 (forall @t323 (=> @t322 (tptp.element @t320 @t45)))) % 1.20/1.40 (assume @p170 (forall @t6 (=> @t144 (and (tptp.relation @t296) (tptp.function @t296))))) % 1.20/1.40 (assume @p171 (forall @t6 (=> @t223 (and (tptp.reflexive @t221) (tptp.antisymmetric @t221) (tptp.transitive @t221) (tptp.v1_partfun1 @t221 @t3 @t3) (tptp.relation_of2_as_subset @t221 @t3 @t3))))) % 1.20/1.40 (assume @p172 (forall @t51 (=> (and @t59 @t107 @t101 @t100) (tptp.element @t152 @t3)))) % 1.20/1.40 (assume @p173 (forall @t6 (=> @t128 (tptp.element @t247 @t156)))) % 1.20/1.40 (assume @p174 (forall @t6 (tptp.element @t259 @t32))) % 1.20/1.40 (assume @p175 (forall @t15 (=> @t67 (tptp.relation @t280)))) % 1.20/1.40 (assume @p176 (forall @t6 (=> @t223 (and @t327 @t326 @t325 @t324 (tptp.rel_str @t222))))) % 1.20/1.40 (assume @p177 (forall @t51 (=> @t103 (tptp.element @t99 @t3)))) % 1.20/1.40 (assume @p178 (forall @t15 (=> @t33 (tptp.element @t272 @t32)))) % 1.20/1.40 (assume @p179 (forall @t15 (=> (and @t59 @t61 @t10 @t101) (tptp.element @t242 @t255)))) % 1.20/1.40 (assume @p180 (forall @t51 (=> @t108 (tptp.element @t106 @t3)))) % 1.20/1.40 (assume @p181 (forall @t6 (=> @t67 @t328))) % 1.20/1.40 (assume @p182 (forall @t51 (=> @t50 (tptp.element @t183 @t32)))) % 1.20/1.40 (assume @p183 (forall @t51 (=> @t111 (tptp.element @t109 @t32)))) % 1.20/1.40 (assume @p184 (forall @t15 (=> (and @t59 @t61 @t10 @t256) (tptp.element @t254 @t3)))) % 1.20/1.40 (assume @p185 (forall @t6 (=> @t155 (tptp.element @t167 @t3)))) % 1.20/1.40 (assume @p186 (forall @t15 (=> @t330 @t329))) % 1.20/1.40 (assume @p187 (forall @t51 (=> @t50 (tptp.element @t332 @t331)))) % 1.20/1.40 (assume @p188 (forall @t15 (=> @t294 (tptp.element @t333 @t32)))) % 1.20/1.40 (assume @p189 (forall @t51 (=> @t111 (tptp.element @t112 @t32)))) % 1.20/1.40 (assume @p190 (forall @t6 (and (tptp.v1_partfun1 @t334 @t1 @t1) (tptp.relation_of2_as_subset @t334 @t1 @t1)))) % 1.20/1.40 (assume @p191 (forall @t15 (=> @t319 (tptp.element @t158 @t156)))) % 1.20/1.40 (assume @p192 (forall @t6 @t335)) % 1.20/1.40 (assume @p193 (forall @t15 (=> @t294 (tptp.element @t336 @t32)))) % 1.20/1.40 (assume @p194 (forall @t51 (=> @t111 (tptp.element @t337 @t32)))) % 1.20/1.40 (assume @p195 (forall @t6 (=> @t128 (and (tptp.function @t127) (tptp.quasi_total @t127 @t3 @t3) (tptp.relation_of2_as_subset @t127 @t3 @t3))))) % 1.20/1.40 (assume @p196 (forall @t15 (=> @t67 @t338))) % 1.20/1.40 (assume @p197 (forall @t15 (=> @t294 (tptp.element @t292 @t293)))) % 1.20/1.40 (assume @p198 (forall @t15 (=> (and @t59 @t10 @t312 @t188) (and (tptp.strict_latt_str @t308) (tptp.latt_str @t308))))) % 1.20/1.40 (assume @p199 (forall @t174 (=> @t340 (tptp.element @t339 @t11)))) % 1.20/1.40 (assume @p200 (forall @t15 (=> @t123 @t341))) % 1.20/1.40 (assume @p201 (forall @t6 (=> @t223 (tptp.relation @t287)))) % 1.20/1.40 (assume @p202 (forall @t6 (=> @t107 @t128))) % 1.20/1.40 (assume @p203 (forall @t6 (=> @t5 @t128))) % 1.20/1.40 (assume @p204 (forall @t6 (=> @t161 @t128))) % 1.20/1.40 (assume @p205 (forall @t6 (=> @t102 @t128))) % 1.20/1.40 (assume @p206 (forall @t6 (=> @t10 (and @t107 @t102)))) % 1.20/1.40 (assume @p207 (forall @t15 (=> @t342 (forall @t90 (=> @t170 @t159))))) % 1.20/1.40 (assume @p208 (forall @t51 (=> @t184 @t71))) % 1.20/1.40 (assume @p209 (forall @t6 (=> @t107 (and @t345 @t344 (tptp.relation_of2_as_subset @t7 @t343 @t3))))) % 1.20/1.40 (assume @p210 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 1.20/1.40 (assume @p211 (forall @t6 (=> @t161 (tptp.element @t196 @t199)))) % 1.20/1.40 (assume @p212 (forall @t6 (=> @t102 (and @t347 @t346 (tptp.relation_of2_as_subset @t8 @t343 @t3))))) % 1.20/1.40 (assume @p213 (exists @t6 @t107)) % 1.20/1.40 (assume @p214 (exists @t6 @t5)) % 1.20/1.40 (assume @p215 (exists @t6 @t161)) % 1.20/1.40 (assume @p216 (exists @t6 @t128)) % 1.20/1.40 (assume @p217 (exists @t6 @t102)) % 1.20/1.40 (assume @p218 (exists @t6 @t10)) % 1.20/1.40 (assume @p219 (forall @t15 (=> @t342 (exists @t90 @t170)))) % 1.20/1.40 (assume @p220 (forall @t15 (exists @t90 @t50))) % 1.20/1.40 (assume @p221 (forall @t6 (exists @t20 @t19))) % 1.20/1.40 (assume @p222 (forall @t15 (exists @t90 @t184))) % 1.20/1.40 (assume @p223 (forall @t15 (=> @t74 @t348))) % 1.20/1.40 (assume @p224 (forall @t15 (=> @t350 (and (tptp.empty @t349) (tptp.relation @t349))))) % 1.20/1.40 (assume @p225 (forall @t15 (=> @t41 @t348))) % 1.20/1.40 (assume @p226 (forall @t6 (=> @t30 (and (tptp.empty @t281) @t328)))) % 1.20/1.40 (assume @p227 (forall @t15 (=> @t41 (tptp.finite @t265)))) % 1.20/1.40 (assume @p228 (and @t353 @t352 @t351)) % 1.20/1.40 (assume @p229 (forall @t15 (=> (and @t67 @t44 @t74) (tptp.finite @t142)))) % 1.20/1.40 (assume @p230 (forall @t15 (=> @t355 (and @t338 (tptp.relation_empty_yielding @t135))))) % 1.20/1.40 (assume @p231 (forall @t6 (and @t356 (tptp.finite @t194)))) % 1.20/1.40 (assume @p232 (forall @t6 (and @t357 (tptp.cup_closed @t32) (tptp.diff_closed @t32) (tptp.preboolean @t32)))) % 1.20/1.40 (assume @p233 (forall @t15 (=> (and @t67 @t44 @t123 @t86) (and @t329 (tptp.function @t290))))) % 1.20/1.40 (assume @p234 (forall @t6 (and @t358 @t317))) % 1.20/1.40 (assume @p235 (forall @t15 (=> (and @t94 @t89) (and (not (tptp.empty_carrier @t298)) @t299)))) % 1.20/1.40 (assume @p236 (forall @t6 @t359)) % 1.20/1.40 (assume @p237 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 1.20/1.40 (assume @p238 (forall @t6 (=> @t128 (and (tptp.empty @t225) (tptp.v1_membered @t225) (tptp.v2_membered @t225) (tptp.v3_membered @t225) (tptp.v4_membered @t225) (tptp.v5_membered @t225))))) % 1.20/1.40 (assume @p239 (forall @t15 (=> @t330 (tptp.relation @t105)))) % 1.20/1.40 (assume @p240 (forall @t6 (=> @t360 (not @t207)))) % 1.20/1.40 (assume @p241 (forall @t6 @t357)) % 1.20/1.40 (assume @p242 @t353) % 1.20/1.40 (assume @p243 (forall @t15 (not (tptp.empty @t273)))) % 1.20/1.40 (assume @p244 (forall @t15 (=> @t21 @t361))) % 1.20/1.40 (assume @p245 (forall @t15 (=> @t21 @t362))) % 1.20/1.40 (assume @p246 (forall @t15 (=> @t23 (and @t361 @t363)))) % 1.20/1.40 (assume @p247 (forall @t6 (=> (and @t40 @t72) (and @t359 @t366 @t365 @t364 (tptp.natural @t195))))) % 1.20/1.40 (assume @p248 (forall @t6 (and @t335 @t367))) % 1.20/1.40 (assume @p249 (forall @t6 (=> @t370 (and @t369 @t347 @t346 (tptp.v1_binop_1 @t8 @t3) @t368)))) % 1.20/1.40 (assume @p250 (forall @t6 (and @t358 @t317 (tptp.join_commutative @t187) (tptp.join_associative @t187) (tptp.meet_commutative @t187) (tptp.meet_associative @t187) (tptp.meet_absorbing @t187) (tptp.join_absorbing @t187) (tptp.lattice @t187)))) % 1.20/1.40 (assume @p251 (forall @t6 (=> (and @t371 @t269 @t276 @t5) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 1.20/1.40 (assume @p252 (and @t352 @t351 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t353 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 1.20/1.40 (assume @p253 (forall @t6 (and @t335 @t367 (tptp.reflexive @t121) (tptp.symmetric @t121) (tptp.antisymmetric @t121) (tptp.transitive @t121)))) % 1.20/1.40 (assume @p254 (forall @t6 (=> @t360 (not (tptp.empty @t247))))) % 1.20/1.40 (assume @p255 (forall @t15 (=> @t330 (tptp.relation @t98)))) % 1.20/1.40 (assume @p256 (forall @t6 @t356)) % 1.20/1.40 (assume @p257 (forall @t15 (=> @t372 (tptp.closed_subset @t158 @t1)))) % 1.20/1.40 (assume @p258 (forall @t15 (=> @t94 (not (tptp.empty @t98))))) % 1.20/1.40 (assume @p259 (forall @t15 (=> @t23 (and @t362 @t373)))) % 1.20/1.40 (assume @p260 (forall @t15 (=> @t25 (and @t361 @t363 @t374)))) % 1.20/1.40 (assume @p261 (forall @t15 (=> @t25 (and @t362 @t373 @t375)))) % 1.20/1.40 (assume @p262 (forall @t15 (=> @t27 (and @t361 @t363 @t374 @t376)))) % 1.20/1.40 (assume @p263 (forall @t15 (=> @t27 (and @t362 @t373 @t375 @t377)))) % 1.20/1.40 (assume @p264 (forall @t15 (=> @t29 (and @t361 @t363 @t374 @t376 (tptp.v5_membered @t105))))) % 1.20/1.40 (assume @p265 (forall @t15 (=> @t29 (and @t362 @t373 @t375 @t377 (tptp.v5_membered @t104))))) % 1.20/1.40 (assume @p266 (forall @t15 (=> @t21 @t378))) % 1.20/1.40 (assume @p267 (forall @t15 (=> @t23 (and @t378 @t379)))) % 1.20/1.40 (assume @p268 (forall @t15 (=> @t25 (and @t378 @t379 @t380)))) % 1.20/1.40 (assume @p269 (forall @t6 (=> @t76 (and @t328 (tptp.function @t281))))) % 1.20/1.40 (assume @p270 (forall @t6 (=> (and @t59 @t56 @t102) (and @t369 @t347 @t346 (tptp.v2_binop_1 @t8 @t3) @t368)))) % 1.20/1.40 (assume @p271 (forall @t51 (=> (and @t94 @t86 @t306 @t305 @t47 @t304 @t303) (and (not (tptp.empty_carrier @t300)) @t301)))) % 1.20/1.40 (assume @p272 (forall @t15 (=> (and @t87 @t382 @t381 @t88 @t89) (and @t299 (tptp.reflexive_relstr @t298) (tptp.transitive_relstr @t298) (tptp.antisymmetric_relstr @t298))))) % 1.20/1.40 (assume @p273 (forall @t6 (=> @t40 (and @t359 @t366 @t365 @t364)))) % 1.20/1.40 (assume @p274 (forall @t15 (=> @t330 (tptp.relation @t265)))) % 1.20/1.40 (assume @p275 (forall @t15 (not (tptp.empty @t96)))) % 1.20/1.40 (assume @p276 (forall @t15 (=> (and @t171 @t161 @t278 @t160) @t383))) % 1.20/1.40 (assume @p277 (forall @t15 (=> @t94 (not (tptp.empty @t97))))) % 1.20/1.40 (assume @p278 (forall @t15 (=> @t27 (and @t378 @t379 @t380 @t384)))) % 1.20/1.40 (assume @p279 (forall @t15 (=> @t29 (and @t378 @t379 @t380 @t384 (tptp.v5_membered @t265))))) % 1.20/1.40 (assume @p280 (forall @t15 (=> @t144 (and @t338 (tptp.function @t135))))) % 1.20/1.40 (assume @p281 (forall @t6 (=> (and @t59 @t55 @t107) (and @t386 @t345 @t344 (tptp.v1_binop_1 @t7 @t3) @t385)))) % 1.20/1.40 (assume @p282 (forall @t6 (=> @t223 (and (not (tptp.empty_carrier @t222)) @t327 @t326 @t325 @t324)))) % 1.20/1.40 (assume @p283 (forall @t6 (=> @t40 (and (tptp.epsilon_transitive @t227) (tptp.epsilon_connected @t227) (tptp.ordinal @t227))))) % 1.20/1.40 (assume @p284 (and @t353 @t352)) % 1.20/1.40 (assume @p285 (forall @t15 (=> @t95 (not (tptp.empty @t70))))) % 1.20/1.40 (assume @p286 (forall @t15 (=> (and @t171 @t161 @t271 @t160) @t387))) % 1.20/1.40 (assume @p287 (forall @t15 (=> @t388 (and @t341 (tptp.function @t146))))) % 1.20/1.40 (assume @p288 (forall @t6 (=> (and @t59 @t54 @t107) (and @t386 @t345 @t344 (tptp.v2_binop_1 @t7 @t3) @t385)))) % 1.20/1.40 (assume @p289 (forall @t6 (=> @t389 (tptp.closed_subset @t247 @t1)))) % 1.20/1.40 (assume @p290 (forall @t6 (=> @t391 (not @t390)))) % 1.20/1.40 (assume @p291 (and @t353 (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))) % 1.20/1.40 (assume @p292 (forall @t6 (=> @t391 (not @t392)))) % 1.20/1.40 (assume @p293 (forall @t15 (=> @t372 @t393))) % 1.20/1.40 (assume @p294 (forall @t6 (=> @t30 (and @t390 (tptp.relation @t138))))) % 1.20/1.40 (assume @p295 (forall @t6 (=> @t30 (and @t392 (tptp.relation @t267))))) % 1.20/1.40 (assume @p296 (forall @t15 (=> (and @t41 @t74) (tptp.finite @t98)))) % 1.20/1.40 (assume @p297 (forall @t15 (=> @t350 (and (tptp.empty @t290) @t329)))) % 1.20/1.40 (assume @p298 (forall @t15 (=> @t395 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t120 (and @t394 @t310 (= @t1 (tptp.ordered_pair_as_product_element @t186 @t186 @t45 @t115)) (tptp.below_refl @t11 @t45 @t115))))))) % 1.20/1.40 (assume @p299 (forall @t51 (=> (and @t312 @t188) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t45)) @t397)))) % 1.20/1.40 (assume @p300 (forall @t51 (=> (and @t312 @t311 (tptp.complete_latt_str @t11) @t188) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t45)) @t397)))) % 1.20/1.40 (assume @p301 (forall @t15 (=> @t89 (forall @t120 (=> (= @t298 (tptp.rel_str_of @t45 @t115)) @t399))))) % 1.20/1.40 (assume @p302 (forall @t51 (=> @t307 (forall @t401 (=> (= @t300 (tptp.latt_str_of @t115 @t129 @t234)) (and @t396 (= @t11 @t129) @t400)))))) % 1.20/1.40 (assume @p303 (forall @t15 (= (tptp.set_union2 @t1 @t1) @t1))) % 1.20/1.40 (assume @p304 (forall @t15 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.20/1.40 (assume @p305 @t404) % 1.20/1.40 (assume @p306 (forall @t51 (=> @t111 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 1.20/1.40 (assume @p307 (forall @t15 (=> @t33 (= (tptp.subset_complement @t1 @t272) @t11)))) % 1.20/1.40 (assume @p308 (forall @t6 (=> @t67 (= (tptp.relation_inverse @t281) @t1)))) % 1.20/1.40 (assume @p309 (forall @t15 (=> @t294 (= (tptp.complements_of_subsets @t1 @t292) @t11)))) % 1.20/1.40 (assume @p310 (forall @t15 (not (tptp.proper_subset @t1 @t1)))) % 1.20/1.40 (assume @p311 (forall @t6 (=> @t67 (= @t66 (forall @t20 (=> @t405 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 1.20/1.40 (assume @p312 (forall @t6 (not (= @t194 tptp.empty_set)))) % 1.20/1.40 (assume @p313 (forall @t15 (=> @t14 (= (tptp.set_union2 @t194 @t11) @t11)))) % 1.20/1.40 (assume @p314 (forall @t15 (not (and @t406 @t14)))) % 1.20/1.40 (assume @p315 (forall @t15 (=> @t407 @t406))) % 1.20/1.40 (assume @p316 (forall @t15 (=> @t123 (tptp.subset (tptp.relation_dom @t146) @t175)))) % 1.20/1.40 (assume @p317 (forall @t6 (=> @t67 (= @t68 (forall @t179 (=> (and @t178 @t226) @t177)))))) % 1.20/1.40 (assume @p318 (forall @t15 (= (tptp.subset @t194 @t11) @t14))) % 1.20/1.40 (assume @p319 (forall @t15 (=> @t123 (not (and @t408 (tptp.equipotent @t1 @t214) (forall @t90 (=> @t69 (not (tptp.well_orders @t45 @t1))))))))) % 1.20/1.40 (assume @p320 (forall @t15 (= (= @t265 tptp.empty_set) @t125))) % 1.20/1.40 (assume @p321 (forall @t15 (=> @t33 (forall @t90 (=> @t201 @t117))))) % 1.20/1.40 (assume @p322 (forall @t6 (=> @t67 (= @t148 (forall @t136 (=> (and @t178 @t409) @t191)))))) % 1.20/1.40 (assume @p323 (forall @t51 (=> @t125 (or @t117 (tptp.subset @t1 (tptp.set_difference @t11 @t410)))))) % 1.20/1.40 (assume @p324 (forall @t6 (=> @t360 (forall @t20 (=> @t160 (forall @t90 (=> @t100 (= (tptp.in @t45 @t208) @t244)))))))) % 1.20/1.40 (assume @p325 (forall @t6 (=> @t67 (= @t163 (forall @t136 (not (and @t405 (tptp.in @t45 @t147) @t245 @t411 (not @t409)))))))) % 1.20/1.40 (assume @p326 (forall @t15 (= (tptp.subset @t1 @t412) (or @t181 (= @t1 @t412))))) % 1.20/1.40 (assume @p327 (forall @t15 (=> @t14 (tptp.subset @t1 @t413)))) % 1.20/1.40 (assume @p328 (forall @t174 (= (tptp.in @t273 (tptp.cartesian_product2 @t45 @t115)) (and @t414 (tptp.in @t11 @t115))))) % 1.20/1.40 (assume @p329 (forall @t15 (=> @t248 @t415))) % 1.20/1.40 (assume @p330 (forall @t51 (=> @t285 (= @t417 (and (tptp.in @t11 @t262) @t12))))) % 1.20/1.40 (assume @p331 (exists @t6 (and @t94 @t64 @t63 @t40 @t72))) % 1.20/1.40 (assume @p332 (exists @t6 (and @t94 @t41))) % 1.20/1.40 (assume @p333 (exists @t6 @t144)) % 1.20/1.40 (assume @p334 (forall @t15 (exists @t90 (and @t50 @t69 @t47 @t46)))) % 1.20/1.40 (assume @p335 (exists @t6 (and @t94 @t21 @t23 @t25 @t27 @t29))) % 1.20/1.40 (assume @p336 (exists @t6 (and @t5 @t4))) % 1.20/1.40 (assume @p337 (exists @t6 @t81)) % 1.20/1.40 (assume @p338 (exists @t6 (and @t64 @t63 @t40 @t270))) % 1.20/1.40 (assume @p339 (exists @t6 (and @t67 @t44 @t75 @t30))) % 1.20/1.40 (assume @p340 (exists @t6 (and @t30 @t67))) % 1.20/1.40 (assume @p341 (forall @t6 (=> @t94 (exists @t20 (and @t33 @t92))))) % 1.20/1.40 (assume @p342 (forall @t6 (=> @t389 (exists @t20 (and @t160 @t271))))) % 1.20/1.40 (assume @p343 (exists @t6 @t30)) % 1.20/1.40 (assume @p344 (forall @t6 (exists @t20 (and @t33 @t91 @t123 @t86 @t85 @t39 @t38 @t37 @t28 @t74)))) % 1.20/1.40 (assume @p345 (exists @t6 @t77)) % 1.20/1.40 (assume @p346 (forall @t6 (exists @t20 (and @t89 @t123 @t86 @t85 @t84 @t83 @t82)))) % 1.20/1.40 (assume @p347 (exists @t6 (and @t5 @t59 @t4 @t371 @t269 @t276))) % 1.20/1.40 (assume @p348 (exists @t6 (and @t67 @t44 @t75 @t30 @t64 @t63 @t40))) % 1.20/1.40 (assume @p349 (forall @t15 (exists @t90 (and @t50 @t69 @t47)))) % 1.20/1.40 (assume @p350 (exists @t6 @t391)) % 1.20/1.40 (assume @p351 (forall @t6 (exists @t20 (and @t33 @t91)))) % 1.20/1.40 (assume @p352 (forall @t6 (exists @t20 (and @t33 (not @t418))))) % 1.20/1.40 (assume @p353 (forall @t6 (=> @t389 (exists @t20 (and @t160 @t271 @t278))))) % 1.20/1.40 (assume @p354 (exists @t6 @t94)) % 1.20/1.40 (assume @p355 (forall @t6 (=> @t94 (exists @t20 (and @t33 @t92 @t74))))) % 1.20/1.40 (assume @p356 (exists @t6 @t76)) % 1.20/1.40 (assume @p357 (exists @t6 (and @t10 @t9))) % 1.20/1.40 (assume @p358 (exists @t6 (and @t94 @t64 @t63 @t40))) % 1.20/1.40 (assume @p359 (forall @t6 (exists @t20 (and @t89 @t123 @t87 (tptp.symmetric @t11) @t382 @t381 @t88)))) % 1.20/1.40 (assume @p360 (exists @t6 @t355)) % 1.20/1.40 (assume @p361 (exists @t6 (and @t128 @t59))) % 1.20/1.40 (assume @p362 (exists @t6 (and @t67 @t354 @t44))) % 1.20/1.40 (assume @p363 (forall @t6 (=> @t360 (exists @t20 (and @t160 @t92))))) % 1.20/1.40 (assume @p364 (exists @t6 (and @t10 @t59 @t9))) % 1.20/1.40 (assume @p365 (forall @t6 (=> @t389 (exists @t20 (and @t160 @t278))))) % 1.20/1.40 (assume @p366 (forall @t6 (=> @t172 (exists @t20 (and @t160 @t92 @t278))))) % 1.20/1.40 (assume @p367 (exists @t6 (and @t10 @t59 @t9 @t57 @t56 @t55 @t54 @t53 @t52 @t61))) % 1.20/1.40 (assume @p368 (forall @t174 (=> @t313 (= @t309 @t118)))) % 1.20/1.40 (assume @p369 (forall @t174 (=> @t316 (= @t314 @t118)))) % 1.20/1.40 (assume @p370 (forall @t6 (= @t318 @t32))) % 1.20/1.40 (assume @p371 (forall @t323 (=> @t322 (= @t320 (tptp.apply_binary @t115 @t129 @t234))))) % 1.20/1.40 (assume @p372 (forall @t6 (=> @t223 (= @t221 @t287)))) % 1.20/1.40 (assume @p373 (forall @t51 (=> @t103 (= @t99 @t189)))) % 1.20/1.40 (assume @p374 (forall @t51 (=> @t108 (= @t106 @t152)))) % 1.20/1.40 (assume @p375 (forall @t51 (=> @t50 (= @t183 @t262)))) % 1.20/1.40 (assume @p376 (forall @t51 (=> @t111 (= @t109 @t419)))) % 1.20/1.40 (assume @p377 (forall @t51 (=> @t50 (= @t332 @t261)))) % 1.20/1.40 (assume @p378 (forall @t15 (=> @t294 (= @t333 @t413)))) % 1.20/1.40 (assume @p379 (forall @t51 (=> @t111 (= @t112 @t420)))) % 1.20/1.40 (assume @p380 (forall @t6 (= @t334 @t121))) % 1.20/1.40 (assume @p381 (forall @t15 (=> @t294 (= @t336 @t219)))) % 1.20/1.40 (assume @p382 (forall @t51 (=> @t111 (= @t337 @t421)))) % 1.20/1.40 (assume @p383 (forall @t174 (=> @t340 (= @t339 @t283)))) % 1.20/1.40 (assume @p384 (forall @t51 (= @t184 @t50))) % 1.20/1.40 (assume @p385 (forall @t15 (=> @t114 (= @t113 @t125)))) % 1.20/1.40 (assume @p386 (forall @t15 (= @t264 (tptp.are_equipotent @t1 @t11)))) % 1.20/1.40 (assume @p387 (forall @t51 (=> @t423 (= @t422 @t243)))) % 1.20/1.40 (assume @p388 (forall @t51 (=> @t424 (= (tptp.related_reflexive @t1 @t11 @t45) @t297)))) % 1.20/1.40 (assume @p389 (forall @t15 (=> @t114 (tptp.ordinal_subset @t1 @t1)))) % 1.20/1.40 (assume @p390 (forall @t15 (tptp.subset @t1 @t1))) % 1.20/1.40 (assume @p391 (forall @t15 (tptp.equipotent @t1 @t1))) % 1.20/1.40 (assume @p392 (forall @t51 (=> @t423 (tptp.below_refl @t1 @t11 @t11)))) % 1.20/1.40 (assume @p393 (forall @t51 (=> @t424 (tptp.related_reflexive @t1 @t11 @t11)))) % 1.20/1.40 (assume @p394 (forall @t15 (=> @t442 (=> @t441 (exists @t90 (and @t69 @t47 (forall @t134 (= @t133 (and @t205 @t205 (exists @t429 (and (= @t115 @t426) (tptp.in @t129 @t426) (forall @t428 (=> @t427 (tptp.in (tptp.ordered_pair @t129 @t425) @t11)))))))))))))) % 1.20/1.40 (assume @p395 (forall @t6 (=> @t445 (exists @t20 (and @t123 @t86 (forall @t120 (= @t119 (and @t117 @t117 (= @t115 @t410))))))))) % 1.20/1.40 (assume @p396 (forall @t15 (=> @t458 (=> @t457 (exists @t90 (and @t69 @t47 (forall @t134 (= @t133 (and @t451 @t451 @t449))))))))) % 1.20/1.40 (assume @p397 (forall @t15 (=> @t458 (=> @t459 (exists @t90 (and @t69 @t47 (forall @t134 (= @t133 (and @t132 @t132 @t449))))))))) % 1.20/1.40 (assume @p398 (forall @t6 (=> (exists @t20 (and @t37 @t12)) (exists @t20 (and @t37 @t12 (forall @t90 (=> @t460 (=> @t117 (tptp.ordinal_subset @t11 @t45))))))))) % 1.20/1.40 (assume @p399 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t484)) (not (and @t206 (forall @t20 (not (and @t12 (forall @t90 (=> (and @t117 @t483) (= @t45 @t11))))))))))) (forall @t141 (=> @t467 (=> @t482 (=> (tptp.in @t481 tptp.omega) (forall @t435 (=> (tptp.element @t432 (tptp.powerset (tptp.powerset @t481))) (not (and (not (= @t432 tptp.empty_set)) (forall @t434 (not (and @t433 (forall @t429 (=> (and (tptp.in @t426 @t432) (tptp.subset @t431 @t426)) (= @t426 @t431)))))))))))))) (forall @t141 (=> @t467 (=> (and (tptp.being_limit_ordinal @t115) (forall @t428 (=> (tptp.ordinal @t425) (=> (tptp.in @t425 @t115) (=> (tptp.in @t425 tptp.omega) (forall @t480 (=> (tptp.element @t476 (tptp.powerset (tptp.powerset @t425))) (not (and (not (= @t476 tptp.empty_set)) (forall @t479 (not (and @t478 (forall @t477 (=> (and (tptp.in @t475 @t476) (tptp.subset @t474 @t475)) (= @t475 @t474))))))))))))))) (or (= @t115 tptp.empty_set) (=> @t466 (forall @t473 (=> (tptp.element @t470 @t464) (not (and (not (= @t470 tptp.empty_set)) (forall @t472 (not (and (tptp.in @t468 @t470) (forall @t471 (=> (and (tptp.in @t469 @t470) (tptp.subset @t468 @t469)) (= @t469 @t468)))))))))))))))) (forall @t141 (=> @t467 (=> @t466 (forall @t465 (=> (tptp.element @t463 @t464) (not (and (not (= @t463 tptp.empty_set)) (forall (@list @t461) (not (and (tptp.in @t461 @t463) (forall (@list @t462) (=> (and (tptp.in @t462 @t463) (tptp.subset @t461 @t462)) (= @t462 @t461))))))))))))))) % 1.20/1.40 (assume @p400 (forall @t51 (=> @t488 (exists @t141 (and @t487 (forall @t237 (= (tptp.in @t235 @t115) (and @t145 @t486 (tptp.in (tptp.ordered_pair @t282 @t485) @t11))))))))) % 1.20/1.40 (assume @p401 (forall @t15 (=> @t442 (=> @t441 (exists @t90 (forall @t141 (= @t140 (exists @t139 (and @t145 @t145 (exists @t429 (and (= @t129 @t426) @t490 @t489))))))))))) % 1.20/1.40 (assume @p402 (forall @t15 (=> @t442 (forall @t90 (=> (forall @t401 (=> (and @t430 (exists @t501 (and @t500 @t498 (exists @t434 (and (= @t437 @t431) (tptp.in @t432 @t431) (forall @t429 (=> @t497 (tptp.in (tptp.ordered_pair @t432 @t426) @t11))))))) @t496 (exists @t495 (and (= @t494 @t234) (tptp.in @t425 @t1) (exists @t479 (and (= @t425 @t474) (tptp.in @t476 @t474) (forall @t477 (=> (tptp.in @t475 @t474) (tptp.in (tptp.ordered_pair @t476 @t475) @t11)))))))) @t493)) (exists @t141 (forall @t139 (= @t173 (exists @t289 (and (tptp.in @t234 @t492) @t491 (exists (@list @t470 @t468) (and (= (tptp.ordered_pair @t470 @t468) @t129) (tptp.in @t470 @t1) (exists @t471 (and (= @t470 @t469) (tptp.in @t468 @t469) (forall @t465 (=> (tptp.in @t463 @t469) (tptp.in (tptp.ordered_pair @t468 @t463) @t11))))))))))))))))) % 1.20/1.40 (assume @p403 (forall @t6 (=> @t445 (exists @t20 (forall @t90 (= @t201 (exists @t141 (and @t205 @t205 (= @t45 (tptp.singleton @t115)))))))))) % 1.20/1.40 (assume @p404 (forall @t15 (=> (forall @t291 (=> (and @t116 (exists @t508 (and (= @t507 @t115) @t486 (= @t437 (tptp.singleton @t234)))) @t506 (exists (@list @t432 @t431) (and (= (tptp.ordered_pair @t432 @t431) @t129) @t505 (= @t431 (tptp.singleton @t432))))) @t430)) (exists @t90 (forall @t141 (= @t140 (exists @t139 (and (tptp.in @t129 @t70) @t504 (exists @t503 (and (= @t502 @t115) (tptp.in @t426 @t1) (= @t425 (tptp.singleton @t426)))))))))))) % 1.20/1.40 (assume @p405 (forall @t6 (=> @t40 (=> (forall @t179 (=> (and @t191 (exists @t139 (and @t511 @t506 (=> (tptp.in @t129 tptp.omega) (forall @t289 (=> (tptp.element @t234 (tptp.powerset (tptp.powerset @t129))) @t510))))) @t224 (exists @t434 (and (tptp.ordinal @t431) (= @t115 @t431) (=> (tptp.in @t431 tptp.omega) (forall @t429 (=> (tptp.element @t426 (tptp.powerset (tptp.powerset @t431))) (not (and (not (= @t426 tptp.empty_set)) (forall @t428 (not (and @t427 (forall @t480 (=> (and (tptp.in @t476 @t426) (tptp.subset @t425 @t476)) (= @t476 @t425)))))))))))))) @t116)) (exists @t20 (forall @t90 (= @t201 (exists @t141 (and (tptp.in @t115 @t195) @t509 (exists @t479 (and (tptp.ordinal @t474) (= @t45 @t474) (=> (tptp.in @t474 tptp.omega) (forall @t477 (=> (tptp.element @t475 (tptp.powerset (tptp.powerset @t474))) (not (and (not (= @t475 tptp.empty_set)) (forall @t473 (not (and (tptp.in @t470 @t475) (forall @t472 (=> (and (tptp.in @t468 @t475) (tptp.subset @t470 @t468)) (= @t468 @t470)))))))))))))))))))))) % 1.20/1.40 (assume @p406 (forall @t15 (=> @t372 (=> (forall @t291 (=> (and @t116 (exists @t289 (and @t455 (= @t234 @t115) (tptp.closed_subset @t234 @t1) @t512)) @t506 (exists @t439 (and @t452 (= @t437 @t129) (tptp.closed_subset @t437 @t1) (tptp.subset @t11 @t129)))) @t430)) (exists @t90 (forall @t141 (= @t140 (exists @t139 (and @t513 @t504 (exists @t435 (and @t448 @t447 (tptp.closed_subset @t432 @t1) @t512))))))))))) % 1.20/1.40 (assume @p407 (forall @t15 (=> @t515 (=> (forall @t291 (=> (and @t116 @t514 @t506 (tptp.in (tptp.set_difference @t247 @t129) @t11)) @t430)) (exists @t90 (forall @t141 (= @t140 (exists @t139 (and @t513 @t504 @t514))))))))) % 1.20/1.40 (assume @p408 (forall @t15 (=> @t517 (=> (forall @t291 (=> (and @t116 (exists @t289 (and @t236 (= @t115 (tptp.set_difference @t234 @t194)))) @t506 (exists @t439 (and @t516 (= @t129 (tptp.set_difference @t437 @t194))))) @t430)) (exists @t90 (forall @t141 (= @t140 (exists @t139 (and (tptp.in @t129 @t32) @t504 (exists @t435 (and (tptp.in @t432 @t11) (= @t115 (tptp.set_difference @t432 @t194))))))))))))) % 1.20/1.40 (assume @p409 (forall @t15 (=> @t458 (=> @t457 (exists @t90 (forall @t141 (= @t140 (exists @t139 (and @t520 @t520 @t519))))))))) % 1.20/1.40 (assume @p410 (forall @t15 (=> @t458 (forall @t90 (=> (forall @t401 (=> (and @t430 (exists @t501 (and @t500 (tptp.in @t437 @t450) @t529)) @t496 (exists @t503 (and @t526 (tptp.in @t426 @t450) @t525))) @t493)) (exists @t141 (forall @t139 (= @t173 (exists @t289 (and (tptp.in @t234 @t524) @t491 (exists @t523 (and @t522 (tptp.in @t474 @t450) @t521)))))))))))) % 1.20/1.40 (assume @p411 (forall @t15 (=> @t458 (=> @t459 (exists @t90 (forall @t141 (= @t140 (exists @t139 (and @t137 @t137 @t519))))))))) % 1.20/1.40 (assume @p412 (forall @t15 (=> @t458 (forall @t90 (=> (forall @t401 (=> (and @t430 (exists @t501 (and @t500 @t516 @t529)) @t496 (exists @t503 (and @t526 (tptp.in @t426 @t11) @t525))) @t493)) (exists @t141 (forall @t139 (= @t173 (exists @t289 (and (tptp.in @t234 @t530) @t491 (exists @t523 (and @t522 (tptp.in @t474 @t11) @t521)))))))))))) % 1.20/1.40 (assume @p413 (forall @t51 (=> @t488 (=> (forall @t401 (=> (and @t430 (exists @t501 (and (= @t129 @t499) (tptp.in (tptp.ordered_pair @t531 (tptp.apply @t45 @t432)) @t11))) @t496 (exists (@list @t431 @t426) (and (= @t234 (tptp.ordered_pair @t431 @t426)) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t431) (tptp.apply @t45 @t426)) @t11)))) @t493)) (exists @t141 (forall @t139 (= @t173 (exists @t289 (and (tptp.in @t234 @t302) @t491 (exists @t495 (and (= @t129 @t494) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t425) (tptp.apply @t45 @t476)) @t11)))))))))))) % 1.20/1.40 (assume @p414 (forall @t6 (=> (forall @t179 (=> (and @t191 @t460 @t224 @t467) @t116)) (exists @t20 (forall @t90 (= @t201 (exists @t141 (and @t205 @t509 @t460)))))))) % 1.20/1.40 (assume @p415 (forall @t51 (=> @t534 (=> (forall @t401 (=> (and @t430 @t532 @t496 (tptp.in (tptp.relation_image @t45 @t234) @t11)) @t493)) (exists @t141 (forall @t139 (= @t173 (exists @t289 (and (tptp.in @t234 @t533) @t491 @t532))))))))) % 1.20/1.40 (assume @p416 (forall @t15 (=> @t37 (=> (forall @t291 (=> (and @t116 (exists @t289 (and (tptp.ordinal @t234) @t496 @t486)) @t506 (exists @t439 (and (tptp.ordinal @t437) (= @t129 @t437) @t498))) @t430)) (exists @t90 (forall @t141 (= @t140 (exists @t139 (and (tptp.in @t129 @t535) @t504 (exists @t435 (and (tptp.ordinal @t432) (= @t115 @t432) @t505))))))))))) % 1.20/1.40 (assume @p417 (forall @t15 (=> @t442 (forall @t90 (exists @t141 (forall @t139 (= @t173 (and (tptp.in @t129 @t492) (exists @t508 (and @t536 @t486 (exists @t435 (and (= @t234 @t432) (tptp.in @t437 @t432) (forall @t434 (=> @t433 (tptp.in (tptp.ordered_pair @t437 @t431) @t11))))))))))))))) % 1.20/1.40 (assume @p418 (forall @t15 (exists @t90 (forall @t141 (= @t140 (and (tptp.in @t115 @t70) (exists @t237 (and (= @t235 @t115) @t145 (= @t234 (tptp.singleton @t129)))))))))) % 1.20/1.40 (assume @p419 (forall @t6 (=> @t40 (exists @t20 (forall @t90 (= @t201 (and (tptp.in @t45 @t195) (exists @t141 (and @t467 @t116 @t482))))))))) % 1.20/1.40 (assume @p420 (forall @t15 (=> @t372 (exists @t90 (forall @t141 (= @t140 (and @t538 @t537))))))) % 1.20/1.40 (assume @p421 (forall @t15 (=> @t515 (exists @t90 (forall @t141 (= @t140 (and @t538 @t514))))))) % 1.20/1.40 (assume @p422 (forall @t15 (=> @t517 (exists @t90 (forall @t141 (= @t140 (and (tptp.in @t115 @t32) (exists @t139 (and @t137 (= @t115 (tptp.set_difference @t129 @t194))))))))))) % 1.20/1.40 (assume @p423 (forall @t15 (=> @t458 (forall @t90 (exists @t141 (forall @t139 (= @t173 (and (tptp.in @t129 @t524) (exists @t508 (and @t536 (tptp.in @t234 @t450) @t539)))))))))) % 1.20/1.40 (assume @p424 (forall @t15 (=> @t458 (forall @t90 (exists @t141 (forall @t139 (= @t173 (and (tptp.in @t129 @t530) (exists @t508 (and @t536 @t236 @t539)))))))))) % 1.20/1.40 (assume @p425 (forall @t51 (=> @t488 (exists @t141 (forall @t139 (= @t173 (and (tptp.in @t129 @t302) (exists @t508 (and (= @t129 @t507) (tptp.in (tptp.ordered_pair @t485 @t531) @t11)))))))))) % 1.20/1.40 (assume @p426 (forall @t6 (exists @t20 (forall @t90 (= @t201 (and @t117 @t460)))))) % 1.20/1.40 (assume @p427 (forall @t51 (=> @t534 (exists @t141 (forall @t139 (= @t173 (and (tptp.in @t129 @t533) @t532))))))) % 1.20/1.40 (assume @p428 (forall @t15 (=> @t37 (exists @t90 (forall @t141 (= @t140 (and (tptp.in @t115 @t535) (exists @t139 (and @t511 @t430 @t145))))))))) % 1.20/1.40 (assume @p429 (forall @t15 (=> @t442 (=> (and (forall @t291 (=> (and @t117 @t440 @t436) @t430)) (forall @t90 (not (and @t117 (forall @t141 (not (exists @t429 (and (= @t45 @t426) @t490 @t489)))))))) (exists @t90 (and @t69 @t47 @t263 (forall @t141 (=> @t205 (exists @t480 (and (= @t115 @t476) (tptp.in @t283 @t476) (forall @t479 (=> @t478 (tptp.in (tptp.ordered_pair @t283 @t474) @t11))))))))))))) % 1.20/1.40 (assume @p430 (forall @t6 (=> (and (forall @t179 (=> (and @t12 @t444 @t443) @t116)) (forall @t20 (not (and @t12 (forall @t90 (not @t444)))))) @t542))) % 1.20/1.40 (assume @p431 (forall @t15 (=> @t458 (=> (and (forall @t291 (=> (and @t454 @t456 @t453) @t430)) (forall @t90 (not (and @t454 @t544)))) (exists @t90 (and @t69 @t47 (= @t262 @t450) (forall @t141 (=> @t451 @t543)))))))) % 1.20/1.40 (assume @p432 (forall @t15 (=> @t458 (=> (and (forall @t291 (=> (and @t201 @t456 @t453) @t430)) (forall @t90 (not (and @t201 @t544)))) (exists @t90 (and @t69 @t47 (= @t262 @t11) (forall @t141 (=> @t132 @t543)))))))) % 1.20/1.40 (assume @p433 (=> (forall @t6 (=> @t40 (=> (forall @t20 (=> @t37 (=> @t12 (=> (tptp.in @t11 tptp.omega) (forall @t90 (=> (tptp.element @t45 (tptp.powerset @t331)) (not (and @t249 (forall @t141 (not (and @t140 (forall @t139 (=> (and (tptp.in @t129 @t45) (tptp.subset @t115 @t129)) @t504))))))))))))) (=> @t545 (forall @t289 (=> (tptp.element @t234 @t293) @t510)))))) (forall @t6 (=> @t40 (=> @t545 (forall @t434 (=> (tptp.element @t431 @t293) (not (and (not (= @t431 tptp.empty_set)) (forall @t429 (not (and @t497 (forall @t428 (=> (and (tptp.in @t425 @t431) (tptp.subset @t426 @t425)) (= @t425 @t426))))))))))))))) % 1.20/1.40 (assume @p434 (forall @t6 @t542)) % 1.20/1.40 (assume @p435 (forall @t15 (=> @t372 (exists @t90 (and @t239 (forall @t141 (=> @t546 (= @t140 @t537)))))))) % 1.20/1.40 (assume @p436 (forall @t15 (=> @t515 (exists @t90 (and @t239 (forall @t141 (=> @t546 (= @t140 @t514)))))))) % 1.20/1.40 (assume @p437 (forall @t15 (=> @t286 (tptp.disjoint @t11 @t1)))) % 1.20/1.40 (assume @p438 (forall @t15 (=> @t264 (tptp.equipotent @t11 @t1)))) % 1.20/1.40 (assume @p439 (forall @t6 (tptp.in @t1 @t195))) % 1.20/1.40 (assume @p440 (forall @t15 (=> @t294 (and @t548 (not (and (not @t547) @t182)))))) % 1.20/1.40 (assume @p441 (forall @t174 (not (and (= @t96 (tptp.unordered_pair @t45 @t115)) (not @t398) (not @t396))))) % 1.20/1.40 (assume @p442 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t45))) (and @t14 (tptp.in @t1 @t261)))))) % 1.20/1.40 (assume @p443 (forall @t15 (=> @t123 (tptp.subset @t549 @t1)))) % 1.20/1.40 (assume @p444 (forall @t15 (=> @t123 (tptp.subset @t146 @t11)))) % 1.20/1.40 (assume @p445 (forall @t15 (=> @t123 (tptp.subset @t549 @t176)))) % 1.20/1.40 (assume @p446 (forall @t51 (=> @t125 (and (tptp.subset @t492 @t530) (tptp.subset (tptp.cartesian_product2 @t45 @t1) (tptp.cartesian_product2 @t45 @t11)))))) % 1.20/1.40 (assume @p447 (forall @t15 (=> @t123 (= @t549 (tptp.set_intersection2 @t176 @t1))))) % 1.20/1.40 (assume @p448 (forall @t174 (=> (and @t125 @t213) (tptp.subset @t492 (tptp.cartesian_product2 @t11 @t115))))) % 1.20/1.40 (assume @p449 (forall @t15 (=> @t294 (=> @t220 (= @t550 (tptp.subset_complement @t1 @t333)))))) % 1.20/1.40 (assume @p450 (forall @t51 (=> @t184 (and (tptp.subset @t262 @t1) (tptp.subset @t261 @t11))))) % 1.20/1.40 (assume @p451 (forall @t15 (=> @t294 (=> @t220 (= @t551 (tptp.subset_complement @t1 @t336)))))) % 1.20/1.40 (assume @p452 (forall @t15 (=> @t125 (= @t98 @t11)))) % 1.20/1.40 (assume @p453 (forall @t6 (exists @t20 (and @t14 @t554 (forall @t90 (=> @t201 (tptp.in @t553 @t11))) @t552)))) % 1.20/1.40 (assume @p454 (forall @t6 (=> @t172 (= @t241 (forall @t20 (=> @t200 (not (and (tptp.centered @t11) @t232 (= @t555 tptp.empty_set))))))))) % 1.20/1.40 (assume @p455 (forall @t15 (=> (and @t125 @t74) @t41))) % 1.20/1.40 (assume @p456 (forall @t6 (=> @t128 (forall @t20 (=> @t200 (= (tptp.finite @t450) @t74)))))) % 1.20/1.40 (assume @p457 (forall @t51 (=> @t69 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t45) @t11) (tptp.relation_rng_restriction @t1 @t556))))) % 1.20/1.40 (assume @p458 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_image @t45 @t11)) (exists @t141 (and (tptp.in @t115 @t262) (tptp.in (tptp.ordered_pair @t115 @t1) @t45) @t132)))))) % 1.20/1.40 (assume @p459 (forall @t15 (=> @t123 (tptp.subset @t557 @t176)))) % 1.20/1.40 (assume @p460 (forall @t15 (=> @t388 (tptp.subset @t559 @t1)))) % 1.20/1.40 (assume @p461 (forall @t15 (=> @t123 (= @t557 (tptp.relation_image @t11 @t560))))) % 1.20/1.40 (assume @p462 (forall @t15 (=> @t123 (=> (tptp.subset @t1 @t175) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t557)))))) % 1.20/1.40 (assume @p463 (forall @t6 (=> @t67 (= (tptp.relation_image @t1 @t138) @t267)))) % 1.20/1.40 (assume @p464 (forall @t15 (=> @t388 (=> @t561 (= @t559 @t1))))) % 1.20/1.40 (assume @p465 (forall @t174 (=> @t564 (=> (tptp.subset @t563 @t11) @t562)))) % 1.20/1.40 (assume @p466 (forall @t6 (=> @t128 (forall @t20 (=> @t160 (= (tptp.subset_intersection2 @t3 @t11 @t247) @t11)))))) % 1.20/1.40 (assume @p467 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t565 (tptp.relation_image @t11 @t267))))))) % 1.20/1.40 (assume @p468 (forall @t51 (=> @t69 (= (tptp.in @t1 @t566) (exists @t141 (and (tptp.in @t115 @t261) (tptp.in (tptp.ordered_pair @t1 @t115) @t45) @t132)))))) % 1.20/1.40 (assume @p469 (forall @t15 (=> @t123 (tptp.subset @t558 @t175)))) % 1.20/1.40 (assume @p470 (forall @t174 (=> @t564 (=> @t125 @t562)))) % 1.20/1.40 (assume @p471 (forall @t6 (=> @t161 (forall @t20 (=> @t200 (= @t232 (tptp.open_subsets @t450 @t1))))))) % 1.20/1.40 (assume @p472 (forall @t51 (=> @t69 (= (tptp.in @t1 @t567) (and @t414 (tptp.in @t1 @t279)))))) % 1.20/1.40 (assume @p473 (forall @t15 (=> @t123 (not (and @t206 @t561 (= @t558 tptp.empty_set)))))) % 1.20/1.40 (assume @p474 (forall @t51 (=> @t69 (=> @t125 (tptp.subset (tptp.relation_inverse_image @t45 @t1) @t566))))) % 1.20/1.40 (assume @p475 (forall @t15 (=> @t388 (=> @t41 (tptp.finite @t557))))) % 1.20/1.40 (assume @p476 (forall @t6 (=> @t128 (forall @t20 (=> @t160 (= @t208 @t277)))))) % 1.20/1.40 (assume @p477 (forall @t6 (=> @t161 (forall @t20 (=> @t200 (= @t211 (tptp.closed_subsets @t450 @t1))))))) % 1.20/1.40 (assume @p478 (forall @t15 (=> @t123 (= @t568 (tptp.relation_dom_restriction @t146 @t1))))) % 1.20/1.40 (assume @p479 (forall @t15 (tptp.subset @t105 @t1))) % 1.20/1.40 (assume @p480 (forall @t6 (=> @t41 (forall @t20 (=> @t294 (not (and @t220 (forall @t90 (not (and @t201 (forall @t141 (=> (and @t132 @t213) @t509)))))))))))) % 1.20/1.40 (assume @p481 (forall @t15 (=> @t123 (= @t568 (tptp.relation_rng_restriction @t1 @t569))))) % 1.20/1.40 (assume @p482 (forall @t51 (=> @t69 (=> (tptp.in @t1 (tptp.relation_field @t567)) (and @t571 @t14))))) % 1.20/1.40 (assume @p483 (forall @t51 (=> (and @t125 @t572) (tptp.subset @t1 @t420)))) % 1.20/1.40 (assume @p484 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 1.20/1.40 (assume @p485 (forall @t15 (=> @t575 (forall @t90 (=> @t574 (and (= (tptp.join @t187 @t11 @t45) @t419) (= (tptp.meet @t187 @t11 @t45) @t420))))))) % 1.20/1.40 (assume @p486 (forall @t15 (=> @t14 @t576))) % 1.20/1.40 (assume @p487 (forall @t51 (=> (and @t125 @t483) @t572))) % 1.20/1.40 (assume @p488 (= @t484 (tptp.singleton tptp.empty_set))) % 1.20/1.40 (assume @p489 (forall @t51 (=> @t69 (=> @t578 (and @t577 (tptp.in @t11 @t261)))))) % 1.20/1.40 (assume @p490 (forall @t15 (=> @t123 (and (tptp.subset @t579 @t214) (tptp.subset @t579 @t1))))) % 1.20/1.40 (assume @p491 (forall @t15 (=> @t388 (forall @t90 (=> @t285 (= @t582 (and @t577 (tptp.in @t580 @t175)))))))) % 1.20/1.40 (assume @p492 (forall @t174 (=> @t584 (forall @t139 (=> (and (tptp.relation @t129) (tptp.function @t129)) (=> @t117 (or @t182 (= (tptp.apply (tptp.relation_composition @t115 @t129) @t45) (tptp.apply @t129 @t583))))))))) % 1.20/1.40 (assume @p493 (forall @t6 (=> @t64 (forall @t20 (=> @t37 (=> @t17 @t14)))))) % 1.20/1.40 (assume @p494 (forall @t6 (=> @t67 (tptp.subset @t1 (tptp.cartesian_product2 @t138 @t267))))) % 1.20/1.40 (assume @p495 (forall @t51 (=> @t69 (tptp.subset (tptp.fiber (tptp.relation_restriction @t45 @t1) @t11) (tptp.fiber @t45 @t11))))) % 1.20/1.40 (assume @p496 (forall @t15 (=> @t388 (forall @t90 (=> @t285 (=> @t582 (= (tptp.apply @t581 @t1) (tptp.apply @t11 @t580)))))))) % 1.20/1.40 (assume @p497 (forall @t6 (=> @t128 (forall @t20 (=> @t160 (= (tptp.subset_difference @t3 @t247 @t277) @t11)))))) % 1.20/1.40 (assume @p498 (forall @t51 (=> (tptp.relation_of2_as_subset @t45 @t11 @t1) (= (forall @t141 (not (and @t132 (forall @t139 (not @t133))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t45) @t11))))) % 1.20/1.40 (assume @p499 (forall @t15 (=> @t123 (=> @t87 (tptp.reflexive @t568))))) % 1.20/1.40 (assume @p500 (forall @t15 (=> @t388 (forall @t90 (=> @t285 (=> (tptp.in @t1 @t175) (= (tptp.apply (tptp.relation_composition @t11 @t45) @t1) (tptp.apply @t45 (tptp.apply @t11 @t1))))))))) % 1.20/1.40 (assume @p501 (forall @t6 (=> (and @t59 @t55 @t53 @t10) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (tptp.below @t1 @t106 @t11)))))))) % 1.20/1.40 (assume @p502 (forall @t15 (=> @t37 (=> @t14 @t40)))) % 1.20/1.40 (assume @p503 (forall @t51 (=> @t184 (= (forall @t141 (not (and @t132 (forall @t139 (not (tptp.in @t162 @t45)))))) (= @t332 @t11))))) % 1.20/1.40 (assume @p504 (forall @t15 (=> @t123 (=> @t585 (tptp.connected @t568))))) % 1.20/1.40 (assume @p505 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (not (and @t407 @t295 @t13))))))) % 1.20/1.40 (assume @p506 (forall @t15 (=> @t123 (=> @t381 (tptp.transitive @t568))))) % 1.20/1.40 (assume @p507 (forall @t6 (=> (and @t276 @t5) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (=> (and @t297 (tptp.related @t1 @t45 @t11)) @t191)))))))) % 1.20/1.40 (assume @p508 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> @t125 (and (tptp.subset @t138 @t175) (tptp.subset @t267 @t176)))))))) % 1.20/1.40 (assume @p509 (forall @t15 (=> @t123 (=> @t382 (tptp.antisymmetric @t568))))) % 1.20/1.40 (assume @p510 (forall @t15 (=> @t123 (=> @t588 (and @t587 @t586))))) % 1.20/1.40 (assume @p511 (forall @t6 (=> @t144 (=> (tptp.finite @t138) (tptp.finite @t267))))) % 1.20/1.40 (assume @p512 (forall @t6 (=> @t370 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (=> (and @t243 (tptp.below @t1 @t45 @t11)) @t191)))))))) % 1.20/1.40 (assume @p513 (forall @t6 (=> (and @t269 @t5) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (forall @t141 (=> @t164 (=> (and @t297 @t288) (tptp.related @t1 @t11 @t115))))))))))) % 1.20/1.40 (assume @p514 (forall @t6 (exists @t20 (and @t123 @t588)))) % 1.20/1.40 (assume @p515 (forall @t51 (=> @t125 (tptp.subset (tptp.set_intersection2 @t1 @t45) @t420)))) % 1.20/1.40 (assume @p516 (forall @t15 (=> @t395 (forall @t90 (=> @t394 (= (tptp.latt_set_smaller @t11 @t45 @t1) (tptp.relstr_element_smaller @t590 @t1 @t589))))))) % 1.20/1.40 (assume @p517 (forall @t6 (=> @t94 (not (and (forall @t20 (not (and @t12 @t182))) (forall @t20 (=> @t388 (not (and @t541 (forall @t90 (=> @t117 (tptp.in @t540 @t45)))))))))))) % 1.20/1.40 (assume @p518 (forall @t15 (=> @t125 (= @t105 @t1)))) % 1.20/1.40 (assume @p519 (forall @t15 (=> @t395 (forall @t90 (=> @t592 (= (tptp.relstr_element_smaller @t590 @t1 @t45) (tptp.latt_set_smaller @t11 @t591 @t1))))))) % 1.20/1.40 (assume @p520 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (= @t278 @t383)))))) % 1.20/1.40 (assume @p521 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.20/1.40 (assume @p522 (forall @t15 (=> @t575 (forall @t90 (=> @t574 (= (tptp.below @t187 @t11 @t45) @t483)))))) % 1.20/1.40 (assume @p523 (forall @t15 (=> @t576 (or @t91 @t14)))) % 1.20/1.40 (assume @p524 (forall @t15 (=> (forall @t90 (= @t117 @t201)) @t126))) % 1.20/1.40 (assume @p525 (forall @t6 (tptp.reflexive @t215))) % 1.20/1.40 (assume @p526 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 1.20/1.40 (assume @p527 (forall @t15 (=> @t395 (forall @t90 (=> @t394 (= (tptp.latt_element_smaller @t11 @t45 @t1) (tptp.relstr_set_smaller @t590 @t1 @t589))))))) % 1.20/1.40 (assume @p528 (forall @t51 (=> @t69 (=> @t578 (and @t571 (tptp.in @t11 @t570)))))) % 1.20/1.40 (assume @p529 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (= @t271 @t387)))))) % 1.20/1.40 (assume @p530 (forall @t15 (=> @t395 (forall @t90 (=> @t592 (= (tptp.relstr_set_smaller @t590 @t1 @t45) (tptp.latt_element_smaller @t11 @t591 @t1))))))) % 1.20/1.40 (assume @p531 (forall @t6 (=> (forall @t20 (=> @t12 (and @t37 @t124))) @t40))) % 1.20/1.40 (assume @p532 (forall @t15 (=> @t123 (=> @t593 (tptp.well_founded_relation @t568))))) % 1.20/1.40 (assume @p533 (forall @t6 (=> @t223 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t45) @t287) @t422)))))))) % 1.20/1.40 (assume @p534 (forall @t15 (=> @t37 (not (and @t125 @t206 (forall @t90 (=> @t460 (not (and @t117 (forall @t141 (=> @t467 (=> @t205 (tptp.ordinal_subset @t45 @t115))))))))))))) % 1.20/1.40 (assume @p535 (forall @t15 (=> @t123 (=> @t408 @t586)))) % 1.20/1.40 (assume @p536 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (= @t14 (tptp.ordinal_subset @t195 @t11))))))) % 1.20/1.40 (assume @p537 (forall @t51 (=> @t125 (tptp.subset (tptp.set_difference @t1 @t45) @t421)))) % 1.20/1.40 (assume @p538 (forall @t174 (=> (= @t273 @t118) @t399))) % 1.20/1.40 (assume @p539 (forall @t15 (=> @t388 (= @t122 (and @t541 (forall @t90 (=> @t117 (= @t540 @t45)))))))) % 1.20/1.40 (assume @p540 (forall @t6 (=> @t217 (forall @t20 (=> @t101 (forall @t90 (= (= @t11 (tptp.meet_of_latt_set @t1 @t45)) (and @t165 (forall @t141 (=> @t164 (=> (tptp.latt_set_smaller @t1 @t115 @t45) (tptp.below_refl @t1 @t115 @t11)))))))))))) % 1.20/1.40 (assume @p541 (forall @t15 (=> @t12 (= (tptp.apply @t121 @t11) @t11)))) % 1.20/1.40 (assume @p542 (forall @t15 (tptp.subset @t265 @t1))) % 1.20/1.40 (assume @p543 (forall @t6 (=> @t67 (and (= @t267 (tptp.relation_dom @t281)) (= @t138 (tptp.relation_rng @t281)))))) % 1.20/1.40 (assume @p544 (forall @t51 (= (tptp.subset @t96 @t45) (and @t414 @t246)))) % 1.20/1.40 (assume @p545 (forall @t15 (=> @t123 (=> (and @t408 (tptp.subset @t1 @t214)) @t587)))) % 1.20/1.40 (assume @p546 (forall @t15 (= @t594 @t98))) % 1.20/1.40 (assume @p547 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 1.20/1.40 (assume @p548 (forall @t6 (and (tptp.lower_bounded_semilattstr @t187) (= (tptp.bottom_of_semilattstr @t187) tptp.empty_set)))) % 1.20/1.40 (assume @p549 (forall @t51 (not (and @t14 @t246 @t117)))) % 1.20/1.40 (assume @p550 (forall @t15 (= @t415 @t125))) % 1.20/1.40 (assume @p551 (forall @t6 (tptp.transitive @t215))) % 1.20/1.40 (assume @p552 (forall @t15 (and (not (and @t596 (forall @t90 (not @t595)))) (not (and (exists @t90 @t595) @t286))))) % 1.20/1.40 (assume @p553 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t181))) % 1.20/1.40 (assume @p554 (forall @t15 (= (tptp.set_difference @t98 @t11) @t265))) % 1.20/1.40 (assume @p555 (forall @t6 (=> @t40 (= @t270 (forall @t20 (=> @t37 (=> @t12 (tptp.in @t535 @t1)))))))) % 1.20/1.40 (assume @p556 (forall @t6 (=> @t40 (and (not (and (not @t270) (forall @t20 (=> @t37 (not @t597))))) (not (and (exists @t20 (and @t37 @t597)) @t270)))))) % 1.20/1.40 (assume @p557 (forall @t15 (=> @t33 (forall @t90 (=> @t110 (= @t599 (tptp.subset @t11 @t598))))))) % 1.20/1.40 (assume @p558 (forall @t6 (=> @t389 (forall @t20 (=> @t200 (=> @t231 (tptp.closed_subset @t555 @t1))))))) % 1.20/1.40 (assume @p559 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (tptp.subset @t600 @t138)))))) % 1.20/1.40 (assume @p560 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (tptp.subset @t209 @t11)))))) % 1.20/1.40 (assume @p561 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (forall @t90 (=> (tptp.in @t45 @t3) (= (tptp.in @t45 @t158) (forall @t141 (=> @t546 (=> @t601 @t204))))))))))) % 1.20/1.40 (assume @p562 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (tptp.subset @t565 @t176)))))) % 1.20/1.40 (assume @p563 (forall @t15 (=> @t125 (= @t11 @t594)))) % 1.20/1.40 (assume @p564 (forall @t174 (=> @t584 (=> @t220 (forall @t139 (= (tptp.in @t129 (tptp.relation_inverse_image @t115 @t45)) (and @t145 (tptp.in (tptp.apply @t115 @t129) @t45)))))))) % 1.20/1.40 (assume @p565 (forall @t6 (=> @t389 (forall @t20 (=> @t160 (exists @t90 (and @t239 (forall @t141 (=> @t546 (= @t140 @t601))) (= @t158 (tptp.meet_of_subsets @t3 @t45))))))))) % 1.20/1.40 (assume @p566 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> (tptp.subset @t267 @t175) (= @t600 @t138))))))) % 1.20/1.40 (assume @p567 (forall @t15 (=> @t294 @t548))) % 1.20/1.40 (assume @p568 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> (tptp.subset @t138 @t176) (= (tptp.relation_rng @t349) @t267))))))) % 1.20/1.40 (assume @p569 (forall @t15 (=> @t294 (=> @t220 (= (tptp.subset_difference @t1 @t259 @t333) @t550))))) % 1.20/1.40 (assume @p570 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (tptp.subset @t11 @t158)))))) % 1.20/1.40 (assume @p571 (forall @t15 (=> @t294 (=> @t220 (= @t551 (tptp.subset_difference @t1 @t259 @t336)))))) % 1.20/1.40 (assume @p572 (forall @t15 (= (tptp.set_difference @t1 @t265) @t105))) % 1.20/1.40 (assume @p573 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t285 (=> @t284 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t45)))))))))) % 1.20/1.40 (assume @p574 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 1.20/1.40 (assume @p575 (forall @t51 (=> (and @t14 @t602) (tptp.element @t1 @t45)))) % 1.20/1.40 (assume @p576 (forall @t6 (=> @t40 (tptp.connected @t215)))) % 1.20/1.40 (assume @p577 (forall @t15 (and (not (and @t596 (forall @t90 (not @t603)))) (not (and (exists @t90 @t603) @t286))))) % 1.20/1.40 (assume @p578 (forall @t6 (=> @t217 (and @t59 @t61 @t154 @t10 (= @t167 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 1.20/1.40 (assume @p579 (forall @t6 (=> @t206 (forall @t20 (=> @t33 (forall @t90 (=> @t315 (=> @t244 (tptp.in @t45 @t272))))))))) % 1.20/1.40 (assume @p580 (forall @t6 (=> @t389 (forall @t20 (=> @t160 @t393))))) % 1.20/1.40 (assume @p581 (forall @t6 (=> @t161 (forall @t20 (=> @t160 (and (=> @t278 @t604) (=> (and @t171 @t604) @t278))))))) % 1.20/1.40 (assume @p582 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t285 (=> @t284 (and (=> @t66 @t87) (=> @t68 @t381) (=> @t163 @t585) (=> @t148 @t382) (=> @t233 @t593)))))))))) % 1.20/1.40 (assume @p583 (forall @t6 (=> @t144 (=> @t75 (forall @t20 (=> @t388 (= (= @t11 @t296) (and (= @t175 @t267) (forall @t120 (and (=> @t605 @t266) (=> @t266 @t605))))))))))) % 1.20/1.40 (assume @p584 (forall @t51 (=> @t110 (not (and (tptp.in @t11 @t598) @t246))))) % 1.20/1.40 (assume @p585 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t285 (=> (and @t260 @t284) @t408)))))))) % 1.20/1.40 (assume @p586 (forall @t6 (=> @t144 (=> @t75 (and (= @t267 (tptp.relation_dom @t296)) (= @t138 (tptp.relation_rng @t296))))))) % 1.20/1.40 (assume @p587 (forall @t6 (=> @t389 (forall @t20 (=> (tptp.top_str @t11) (forall @t90 (=> @t159 (forall @t141 (=> (tptp.element @t115 (tptp.powerset @t186)) (and (=> (tptp.open_subset @t115 @t11) (= (tptp.interior @t11 @t115) @t115)) (=> (= @t169 @t45) @t210))))))))))) % 1.20/1.40 (assume @p588 (forall @t6 (=> @t67 (=> (forall @t136 @t411) @t181)))) % 1.20/1.40 (assume @p589 (forall @t15 (=> @t388 (=> (and @t85 (tptp.in @t1 @t176)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t606 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t606 @t11) @t1))))))) % 1.20/1.40 (assume @p590 (forall @t6 (=> @t172 (forall @t20 (=> @t160 (forall @t90 (=> @t100 (=> (and @t271 @t201) (tptp.point_neighbourhood @t11 @t1 @t45))))))))) % 1.20/1.40 (assume @p591 (forall @t51 (not (and @t14 @t602 @t93)))) % 1.20/1.40 (assume @p592 @t611) % 1.20/1.40 (assume @p593 (forall @t6 (=> @t360 (forall @t20 (=> @t200 (not (and @t240 @t182))))))) % 1.20/1.40 (assume @p594 (forall @t6 (=> @t67 (= @t233 (tptp.is_well_founded_in @t1 @t147))))) % 1.20/1.40 (assume @p595 (forall @t6 (tptp.antisymmetric @t215))) % 1.20/1.40 (assume @p596 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 1.20/1.40 (assume @p597 (forall @t15 (not (and @t125 @t16)))) % 1.20/1.40 (assume @p598 (forall @t6 (=> @t144 (=> @t75 (tptp.one_to_one @t296))))) % 1.20/1.40 (assume @p599 (forall @t51 (=> (and @t125 @t599) (tptp.disjoint @t1 @t45)))) % 1.20/1.40 (assume @p600 (forall @t6 (=> @t67 (=> (or @t613 @t612) @t181)))) % 1.20/1.40 (assume @p601 (forall @t6 (=> @t67 (= @t613 @t612)))) % 1.20/1.40 (assume @p602 (forall @t15 (= (= (tptp.set_difference @t1 @t412) @t1) @t13))) % 1.20/1.40 (assume @p603 (forall @t15 (=> @t388 (forall @t90 (=> @t285 (= (= @t11 @t416) (and (= @t175 (tptp.set_intersection2 @t262 @t1)) (forall @t141 (=> (tptp.in @t115 @t175) (= (tptp.apply @t11 @t115) @t283)))))))))) % 1.20/1.40 (assume @p604 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t194))) % 1.20/1.40 (assume @p605 (forall @t6 (=> @t30 @t181))) % 1.20/1.40 (assume @p606 (forall @t174 (=> @t584 (=> @t117 (or @t182 (tptp.in @t583 @t563)))))) % 1.20/1.40 (assume @p607 (forall @t6 (=> @t40 (tptp.well_founded_relation @t215)))) % 1.20/1.40 (assume @p608 (forall @t15 (=> (tptp.subset @t194 @t412) @t126))) % 1.20/1.40 (assume @p609 (forall @t51 (=> @t285 (=> @t417 @t614)))) % 1.20/1.40 (assume @p610 (forall @t6 (and (= (tptp.relation_dom @t121) @t1) (= (tptp.relation_rng @t121) @t1)))) % 1.20/1.40 (assume @p611 (forall @t51 (=> @t285 (=> @t12 @t614)))) % 1.20/1.40 (assume @p612 (forall @t174 (=> @t487 (= (tptp.in @t273 (tptp.relation_composition (tptp.identity_relation @t45) @t115)) (and @t414 (tptp.in @t273 @t115)))))) % 1.20/1.40 (assume @p613 (forall @t15 (not (and @t14 @t91)))) % 1.20/1.40 (assume @p614 (forall @t6 (=> @t223 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t422 (tptp.related_reflexive @t222 @t242 (tptp.cast_to_el_of_LattPOSet @t1 @t45)))))))))) % 1.20/1.40 (assume @p615 (forall @t15 (and (= (tptp.pair_first @t273) @t1) (= (tptp.pair_second @t273) @t11)))) % 1.20/1.40 (assume @p616 (forall @t15 (not (and @t14 (forall @t90 (not (and @t201 (forall @t141 (not (and @t132 @t140)))))))))) % 1.20/1.40 (assume @p617 (forall @t6 (=> @t40 (tptp.well_ordering @t215)))) % 1.20/1.40 (assume @p618 (forall @t15 (tptp.subset @t1 @t98))) % 1.20/1.40 (assume @p619 (forall @t15 (= @t286 (= @t265 @t1)))) % 1.20/1.40 (assume @p620 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_dom @t556)) (and @t14 @t577))))) % 1.20/1.40 (assume @p621 (forall @t15 (=> @t123 (tptp.subset @t569 @t11)))) % 1.20/1.40 (assume @p622 (forall @t15 (not (and @t30 @t295 @t91)))) % 1.20/1.40 (assume @p623 (forall @t51 (=> @t285 (= @t578 (and @t577 (= @t11 @t580)))))) % 1.20/1.40 (assume @p624 (forall @t6 (=> @t67 (= (tptp.well_orders @t1 @t147) @t260)))) % 1.20/1.40 (assume @p625 (forall @t51 (=> (and @t125 @t238) (tptp.subset (tptp.set_union2 @t1 @t45) @t11)))) % 1.20/1.40 (assume @p626 (forall @t51 (=> @t615 @t126))) % 1.20/1.40 (assume @p627 (forall @t15 (=> @t123 (= (tptp.relation_dom @t569) @t560)))) % 1.20/1.40 (assume @p628 (forall @t6 (=> @t360 (forall @t20 (=> @t101 (= (tptp.apply_as_element @t3 @t3 @t127 @t11) @t11)))))) % 1.20/1.40 (assume @p629 (forall @t15 (=> @t123 (= @t569 (tptp.relation_composition @t121 @t11))))) % 1.20/1.40 (assume @p630 (forall @t15 (=> @t123 (tptp.subset (tptp.relation_rng @t569) @t176)))) % 1.20/1.40 (assume @p631 @t617) % 1.20/1.40 (assume @p632 (forall @t174 (=> @t584 (=> @t483 (or (and @t182 @t206) (and @t321 (tptp.quasi_total @t115 @t1 @t45) (tptp.relation_of2_as_subset @t115 @t1 @t45))))))) % 1.20/1.40 (assume @p633 (forall @t6 (exists @t20 (and @t14 @t554 (forall @t90 (not (and @t201 (forall @t141 (not (and @t132 (forall @t139 (=> (tptp.subset @t129 @t45) @t173)))))))) @t552)))) % 1.20/1.40 (assume @p634 (forall @t51 (=> @t615 @t191))) % 1.20/1.40 (step @p635 :rule eq-symm :args (@t616 @t1)) % 1.20/1.40 (step @p636 :rule cong :premises (@p635) :args (@t617)) % 1.20/1.40 (step @p637 :rule eq_resolve :premises (@p631 @p636)) % 1.20/1.40 (step @p638 :rule instantiate :premises (@p637) :args ((@list @t621))) % 1.20/1.40 (step @p639 :rule bool-impl-elim :args (@t19 @t229)) % 1.20/1.40 (step @p640 :rule cong :premises (@p639) :args (@t230)) % 1.20/1.40 (step @p641 :rule eq_resolve :premises (@p102 @p640)) % 1.20/1.40 (step @p642 :rule instantiate :premises (@p641) :args ((@list @t623 @t622))) % 1.20/1.40 (step @p643 :rule bool-impl-elim :args (@t33 @t618)) % 1.20/1.40 (step @p644 :rule cong :premises (@p643) :args ((forall @t15 (=> @t33 @t618)))) % 1.20/1.40 (step @p645 :rule eq-symm :args (@t418 @t295)) % 1.20/1.40 (step @p646 :rule eq-symm :args (@t11 @t1)) % 1.20/1.40 (step @p647 :rule cong :premises (@p646) :args (@t607)) % 1.20/1.40 (step @p648 :rule refl :args (@t418)) % 1.20/1.40 (step @p649 :rule cong :premises (@p648 @p647) :args (@t608)) % 1.20/1.40 (step @p650 :rule trans :premises (@p649 @p645)) % 1.20/1.40 (step @p651 :rule refl :args (@t33)) % 1.20/1.40 (step @p652 :rule cong :premises (@p651 @p650) :args (@t609)) % 1.20/1.40 (step @p653 :rule cong :premises (@p652) :args (@t610)) % 1.20/1.40 (step @p654 :rule trans :premises (@p653 @p644)) % 1.20/1.40 (step @p655 :rule cong :premises (@p654) :args (@t611)) % 1.20/1.40 (step @p656 :rule eq_resolve :premises (@p592 @p655)) % 1.20/1.40 (step @p657 :rule skolemize :premises (@p656)) % 1.20/1.40 (step @p658 :rule bool-double-not-elim :args (@t624)) % 1.20/1.40 (step @p659 :rule refl :args (@t630)) % 1.20/1.40 (step @p660 :rule nary_cong :premises (@p659 @p658) :args ((or @t630 (not @t629)))) % 1.20/1.40 (step @p661 :rule cnf_or_neg :args (@t630 0)) % 1.20/1.40 (step @p662 :rule eq_resolve :premises (@p661 @p660)) % 1.20/1.40 (step @p663 :rule reordering :premises (@p662) :args ((or @t624 @t630))) % 1.20/1.40 (step @p664 :rule chain_m_resolution :premises (@p663 @p657) :args (@t624 @t631 @t632)) % 1.20/1.40 (step @p665 :rule cnf_or_pos :args (@t637)) % 1.20/1.40 (step @p666 :rule reordering :premises (@p665) :args ((or @t629 @t636 (not @t637)))) % 1.20/1.40 (step @p667 :rule chain_m_resolution :premises (@p666 @p664 @p642) :args (@t636 @t638 (@list @t624 @t637))) % 1.20/1.40 (step @p668 :rule bool-double-not-elim :args (@t634)) % 1.20/1.40 (step @p669 :rule refl :args (@t625)) % 1.20/1.40 (step @p670 :rule refl :args (@t639)) % 1.20/1.40 (step @p671 :rule nary_cong :premises (@p670 @p669 @p668) :args ((or @t639 @t625 @t640))) % 1.20/1.40 (step @p672 :rule cnf_equiv_pos2 :args (@t636)) % 1.20/1.40 (step @p673 :rule eq_resolve :premises (@p672 @p671)) % 1.20/1.40 (step @p674 :rule reordering :premises (@p673) :args ((or @t625 @t634 @t639))) % 1.20/1.40 (step @p675 :rule cnf_or_neg :args (@t630 1)) % 1.20/1.40 (step @p676 :rule chain_m_resolution :premises (@p675 @p657) :args ((not @t628) @t631 @t632)) % 1.20/1.40 (step @p677 :rule refl :args (@t641)) % 1.20/1.40 (step @p678 :rule bool-double-not-elim :args (@t626)) % 1.20/1.40 (step @p679 :rule refl :args (@t628)) % 1.20/1.40 (step @p680 :rule nary_cong :premises (@p679 @p678 @p677) :args ((or @t628 (not @t627) @t641))) % 1.20/1.40 (step @p681 :rule cnf_equiv_neg2 :args (@t628)) % 1.20/1.40 (step @p682 :rule eq_resolve :premises (@p681 @p680)) % 1.20/1.40 (step @p683 :rule reordering :premises (@p682) :args ((or @t626 @t628 @t641))) % 1.20/1.40 (step @p684 :rule aci_norm :args ((= (or (or @t619 @t643) @t642) (or @t619 @t643 @t642)))) % 1.20/1.40 (step @p685 :rule refl :args (@t642)) % 1.20/1.40 (step @p686 :rule bool-and-de-morgan :args (@t33 @t110 true)) % 1.20/1.40 (step @p687 :rule nary_cong :premises (@p686 @p685) :args ((or (not @t111) @t642))) % 1.20/1.40 (step @p688 :rule trans :premises (@p687 @p684)) % 1.20/1.40 (step @p689 :rule bool-impl-elim :args (@t111 @t642)) % 1.20/1.40 (step @p690 :rule trans :premises (@p689 @p688)) % 1.20/1.40 (step @p691 :rule cong :premises (@p690) :args ((forall @t51 (=> @t111 @t642)))) % 1.20/1.40 (step @p692 :rule eq-symm :args (@t402 @t11)) % 1.20/1.40 (step @p693 :rule refl :args (@t111)) % 1.20/1.40 (step @p694 :rule cong :premises (@p693 @p692) :args (@t403)) % 1.20/1.40 (step @p695 :rule cong :premises (@p694) :args (@t404)) % 1.20/1.40 (step @p696 :rule trans :premises (@p695 @p691)) % 1.20/1.40 (step @p697 :rule eq_resolve :premises (@p305 @p696)) % 1.20/1.40 (step @p698 :rule instantiate :premises (@p697) :args ((@list @t621 @t622 @t622))) % 1.20/1.40 (step @p699 :rule cnf_or_pos :args (@t645)) % 1.20/1.40 (step @p700 :rule factoring :premises (@p699)) % 1.20/1.40 (step @p701 :rule reordering :premises (@p700) :args ((or @t629 @t644 (not @t645)))) % 1.20/1.40 (step @p702 :rule chain_m_resolution :premises (@p701 @p664 @p698) :args (@t644 @t638 (@list @t624 @t645))) % 1.20/1.40 (step @p703 :rule refl :args (@t647)) % 1.20/1.40 (step @p704 :rule refl :args (@t648)) % 1.20/1.40 (step @p705 :rule refl :args (@t627)) % 1.20/1.40 (step @p706 :rule nary_cong :premises (@p705 @p668 @p704 @p703) :args ((or @t627 @t640 @t648 @t647))) % 1.20/1.40 (assume-push @p766 @t644) % 1.20/1.40 (assume-push @p767 @t626) % 1.20/1.40 (assume-push @p768 @t646) % 1.20/1.40 (assume-push @p769 @t635) % 1.20/1.40 (step @p711 :rule evaluate :args ((= false true))) % 1.20/1.40 (step @p712 :rule symm :premises (@p638)) % 1.20/1.40 (step @p713 :rule trans :premises (@p712 @p767 @p702)) % 1.20/1.40 (step @p714 :rule symm :premises (@p713)) % 1.20/1.40 (step @p715 :rule trans :premises (@p702 @p714)) % 1.20/1.40 (step @p716 :rule true_intro :premises (@p715)) % 1.20/1.40 (step @p717 :rule false_intro :premises (@p769)) % 1.20/1.40 (step @p718 :rule symm :premises (@p717)) % 1.20/1.40 (step @p719 :rule trans :premises (@p718 @p716)) % 1.20/1.40 (step @p720 false :rule eq_resolve :premises (@p719 @p711)) % 1.20/1.40 (step-pop @p770 :rule scope :premises (@p720)) % 1.20/1.40 (step-pop @p771 :rule scope :premises (@p770)) % 1.20/1.40 (step-pop @p772 :rule scope :premises (@p771)) % 1.20/1.40 (step-pop @p773 :rule scope :premises (@p772)) % 1.20/1.40 (step @p721 :rule process_scope :premises (@p773) :args (false)) % 1.20/1.40 (assume-push @p774 @t626) % 1.20/1.40 (assume-push @p775 @t635) % 1.20/1.40 (assume-push @p776 @t644) % 1.20/1.40 (assume-push @p777 @t646) % 1.20/1.40 (step @p730 :rule and_intro :premises (@p702 @p774 @p638 @p775)) % 1.20/1.40 (step-pop @p778 :rule scope :premises (@p730)) % 1.20/1.40 (step-pop @p779 :rule scope :premises (@p778)) % 1.20/1.40 (step-pop @p780 :rule scope :premises (@p779)) % 1.20/1.40 (step-pop @p781 :rule scope :premises (@p780)) % 1.20/1.40 (step @p731 :rule process_scope :premises (@p781) :args (@t649)) % 1.20/1.40 (step @p736 :rule implies_elim :premises (@p731)) % 1.20/1.40 (step @p737 :rule resolution :premises (@p736 @p721) :args (true @t649)) % 1.20/1.40 (step @p738 :rule not_and :premises (@p737)) % 1.20/1.40 (step @p739 :rule eq_resolve :premises (@p738 @p706)) % 1.20/1.40 (step @p740 :rule chain_m_resolution :premises (@p739 @p702 @p638 @p683 @p676 @p674 @p667) :args (@t634 (@list false false false true false false) (@list @t644 @t646 @t626 @t628 @t625 @t636))) % 1.20/1.40 (step @p741 :rule cnf_equiv_pos1 :args (@t636)) % 1.20/1.40 (step @p742 :rule reordering :premises (@p741) :args ((or @t641 @t635 @t639))) % 1.20/1.40 (step @p743 :rule chain_m_resolution :premises (@p742 @p740 @p667) :args (@t641 @t638 (@list @t634 @t636))) % 1.20/1.40 (step @p744 :rule cnf_equiv_neg1 :args (@t628)) % 1.20/1.40 (step @p745 :rule reordering :premises (@p744) :args ((or @t627 @t625 @t628))) % 1.20/1.40 (step @p746 :rule chain_m_resolution :premises (@p745 @p743 @p676) :args (@t627 (@list true true) (@list @t625 @t628))) % 1.20/1.40 (assume-push @p782 @t634) % 1.20/1.40 (assume-push @p783 @t646) % 1.20/1.40 (assume-push @p784 @t634) % 1.20/1.40 (assume-push @p785 @t646) % 1.20/1.40 (step @p751 :rule symm :premises (@p782)) % 1.20/1.40 (step @p752 :rule trans :premises (@p638 @p751)) % 1.20/1.40 (step-pop @p786 :rule scope :premises (@p752)) % 1.20/1.40 (step-pop @p787 :rule scope :premises (@p786)) % 1.20/1.40 (step @p753 :rule process_scope :premises (@p787) :args (@t626)) % 1.20/1.40 (step @p756 :rule and_intro :premises (@p782 @p638)) % 1.20/1.40 (step @p757 :rule modus_ponens :premises (@p756 @p753)) % 1.20/1.40 (step-pop @p788 :rule scope :premises (@p757)) % 1.20/1.40 (step-pop @p789 :rule scope :premises (@p788)) % 1.20/1.40 (step @p758 :rule process_scope :premises (@p789) :args (@t626)) % 1.20/1.40 (step @p761 :rule implies_elim :premises (@p758)) % 1.20/1.40 (step @p762 :rule cnf_and_neg :args (@t650)) % 1.20/1.40 (step @p763 :rule resolution :premises (@p762 @p761) :args (true @t650)) % 1.20/1.40 (step @p764 :rule reordering :premises (@p763) :args ((or @t626 @t635 @t647))) % 1.20/1.40 (step @p765 false :rule chain_m_resolution :premises (@p764 @p746 @p740 @p638) :args (false (@list true false false) (@list @t626 @t634 @t646))) % 1.20/1.40 ) % 1.20/1.40 % SZS output end Proof % 1.20/1.41 % cvc5 exiting %------------------------------------------------------------------------------