%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU362+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 : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:31 AM UTC 2026 % Result : Theorem 43.64s 44.02s % Output : Proof 34.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU362+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:01:49 EDT 2026 % 0.16/0.35 % CPUTime : % 0.40/0.67 %----Proving TF0_NAR, FOF, or CNF % 43.64/44.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 43.64/44.02 --- Run --no-e-matching --full-saturate-quant at 6... % 43.64/44.02 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 43.64/44.02 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 43.64/44.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 43.64/44.02 % SZS status Theorem % 43.64/44.02 % SZS output start Proof % 43.64/44.02 ( % 43.64/44.02 (declare-sort $$unsorted 0) % 43.64/44.02 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relation (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.lattice (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.transitive (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.function (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.connected (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.natural (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.empty (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.finite (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.top_str (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.empty_set $$unsorted) % 43.64/44.02 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.omega $$unsorted) % 43.64/44.02 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 43.64/44.02 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 43.64/44.02 (declare-const tptp.centered (-> $$unsorted Bool)) % 43.64/44.02 (define @t1 () (@var "A" $$unsorted)) % 43.64/44.02 (define @t2 () (tptp.the_InternalRel @t1)) % 43.64/44.02 (define @t3 () (tptp.the_carrier @t1)) % 43.64/44.02 (define @t4 () (tptp.strict_rel_str @t1)) % 43.64/44.02 (define @t5 () (tptp.rel_str @t1)) % 43.64/44.02 (define @t6 () (@list @t1)) % 43.64/44.02 (define @t7 () (tptp.the_L_meet @t1)) % 43.64/44.02 (define @t8 () (tptp.the_L_join @t1)) % 43.64/44.02 (define @t9 () (tptp.strict_latt_str @t1)) % 43.64/44.02 (define @t10 () (tptp.latt_str @t1)) % 43.64/44.02 (define @t11 () (@var "B" $$unsorted)) % 43.64/44.02 (define @t12 () (tptp.in @t11 @t1)) % 43.64/44.02 (define @t13 () (not @t12)) % 43.64/44.02 (define @t14 () (tptp.in @t1 @t11)) % 43.64/44.02 (define @t15 () (@list @t1 @t11)) % 43.64/44.02 (define @t16 () (tptp.proper_subset @t11 @t1)) % 43.64/44.02 (define @t17 () (tptp.proper_subset @t1 @t11)) % 43.64/44.02 (define @t18 () (tptp.v1_xcmplx_0 @t11)) % 43.64/44.02 (define @t19 () (tptp.element @t11 @t1)) % 43.64/44.02 (define @t20 () (@list @t11)) % 43.64/44.02 (define @t21 () (tptp.v1_membered @t1)) % 43.64/44.02 (define @t22 () (tptp.v1_xreal_0 @t11)) % 43.64/44.02 (define @t23 () (tptp.v2_membered @t1)) % 43.64/44.02 (define @t24 () (tptp.v1_rat_1 @t11)) % 43.64/44.02 (define @t25 () (tptp.v3_membered @t1)) % 43.64/44.02 (define @t26 () (tptp.v1_int_1 @t11)) % 43.64/44.02 (define @t27 () (tptp.v4_membered @t1)) % 43.64/44.02 (define @t28 () (tptp.natural @t11)) % 43.64/44.02 (define @t29 () (tptp.v5_membered @t1)) % 43.64/44.02 (define @t30 () (tptp.empty @t1)) % 43.64/44.02 (define @t31 () (tptp.v1_membered @t11)) % 43.64/44.02 (define @t32 () (tptp.powerset @t1)) % 43.64/44.02 (define @t33 () (tptp.element @t11 @t32)) % 43.64/44.02 (define @t34 () (tptp.v2_membered @t11)) % 43.64/44.02 (define @t35 () (tptp.v3_membered @t11)) % 43.64/44.02 (define @t36 () (tptp.v4_membered @t11)) % 43.64/44.02 (define @t37 () (tptp.ordinal @t11)) % 43.64/44.02 (define @t38 () (tptp.epsilon_connected @t11)) % 43.64/44.02 (define @t39 () (tptp.epsilon_transitive @t11)) % 43.64/44.02 (define @t40 () (tptp.ordinal @t1)) % 43.64/44.02 (define @t41 () (tptp.finite @t1)) % 43.64/44.02 (define @t42 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 43.64/44.02 (define @t43 () (tptp.preboolean @t1)) % 43.64/44.02 (define @t44 () (tptp.function @t1)) % 43.64/44.02 (define @t45 () (@var "C" $$unsorted)) % 43.64/44.02 (define @t46 () (tptp.quasi_total @t45 @t1 @t11)) % 43.64/44.02 (define @t47 () (tptp.function @t45)) % 43.64/44.02 (define @t48 () (and @t47 @t46)) % 43.64/44.02 (define @t49 () (tptp.v1_partfun1 @t45 @t1 @t11)) % 43.64/44.02 (define @t50 () (tptp.relation_of2 @t45 @t1 @t11)) % 43.64/44.02 (define @t51 () (@list @t1 @t11 @t45)) % 43.64/44.02 (define @t52 () (tptp.join_absorbing @t1)) % 43.64/44.02 (define @t53 () (tptp.meet_absorbing @t1)) % 43.64/44.02 (define @t54 () (tptp.meet_associative @t1)) % 43.64/44.02 (define @t55 () (tptp.meet_commutative @t1)) % 43.64/44.02 (define @t56 () (tptp.join_associative @t1)) % 43.64/44.02 (define @t57 () (tptp.join_commutative @t1)) % 43.64/44.02 (define @t58 () (tptp.empty_carrier @t1)) % 43.64/44.02 (define @t59 () (not @t58)) % 43.64/44.02 (define @t60 () (and @t59 @t57 @t56 @t55 @t54 @t53 @t52)) % 43.64/44.02 (define @t61 () (tptp.lattice @t1)) % 43.64/44.02 (define @t62 () (and @t59 @t61)) % 43.64/44.02 (define @t63 () (tptp.epsilon_connected @t1)) % 43.64/44.02 (define @t64 () (tptp.epsilon_transitive @t1)) % 43.64/44.02 (define @t65 () (and @t64 @t63)) % 43.64/44.02 (define @t66 () (tptp.reflexive @t1)) % 43.64/44.02 (define @t67 () (tptp.relation @t1)) % 43.64/44.02 (define @t68 () (tptp.transitive @t1)) % 43.64/44.02 (define @t69 () (tptp.relation @t45)) % 43.64/44.02 (define @t70 () (tptp.cartesian_product2 @t1 @t11)) % 43.64/44.02 (define @t71 () (tptp.element @t45 (tptp.powerset @t70))) % 43.64/44.02 (define @t72 () (tptp.natural @t1)) % 43.64/44.02 (define @t73 () (and @t64 @t63 @t40 @t72)) % 43.64/44.02 (define @t74 () (tptp.finite @t11)) % 43.64/44.02 (define @t75 () (tptp.one_to_one @t1)) % 43.64/44.02 (define @t76 () (and @t67 @t44 @t75)) % 43.64/44.02 (define @t77 () (and @t67 @t30 @t44)) % 43.64/44.02 (define @t78 () (tptp.one_to_one @t45)) % 43.64/44.02 (define @t79 () (and @t47 @t78 @t46 (tptp.onto @t45 @t1 @t11))) % 43.64/44.02 (define @t80 () (and @t47 @t46 (tptp.bijective @t45 @t1 @t11))) % 43.64/44.02 (define @t81 () (and @t64 @t63 @t40)) % 43.64/44.02 (define @t82 () (tptp.bijective @t11 @t1 @t1)) % 43.64/44.02 (define @t83 () (tptp.onto @t11 @t1 @t1)) % 43.64/44.02 (define @t84 () (tptp.quasi_total @t11 @t1 @t1)) % 43.64/44.02 (define @t85 () (tptp.one_to_one @t11)) % 43.64/44.02 (define @t86 () (tptp.function @t11)) % 43.64/44.02 (define @t87 () (tptp.reflexive @t11)) % 43.64/44.02 (define @t88 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 43.64/44.02 (define @t89 () (tptp.relation_of2 @t11 @t1 @t1)) % 43.64/44.02 (define @t90 () (@list @t45)) % 43.64/44.02 (define @t91 () (tptp.empty @t11)) % 43.64/44.02 (define @t92 () (not @t91)) % 43.64/44.02 (define @t93 () (tptp.empty @t45)) % 43.64/44.02 (define @t94 () (not @t30)) % 43.64/44.02 (define @t95 () (and @t94 @t92)) % 43.64/44.02 (define @t96 () (tptp.unordered_pair @t1 @t11)) % 43.64/44.02 (define @t97 () (tptp.set_union2 @t11 @t1)) % 43.64/44.02 (define @t98 () (tptp.set_union2 @t1 @t11)) % 43.64/44.02 (define @t99 () (tptp.join_commut @t1 @t11 @t45)) % 43.64/44.02 (define @t100 () (tptp.element @t45 @t3)) % 43.64/44.02 (define @t101 () (tptp.element @t11 @t3)) % 43.64/44.02 (define @t102 () (tptp.join_semilatt_str @t1)) % 43.64/44.02 (define @t103 () (and @t59 @t57 @t102 @t101 @t100)) % 43.64/44.02 (define @t104 () (tptp.set_intersection2 @t11 @t1)) % 43.64/44.02 (define @t105 () (tptp.set_intersection2 @t1 @t11)) % 43.64/44.02 (define @t106 () (tptp.meet_commut @t1 @t11 @t45)) % 43.64/44.02 (define @t107 () (tptp.meet_semilatt_str @t1)) % 43.64/44.02 (define @t108 () (and @t59 @t55 @t107 @t101 @t100)) % 43.64/44.02 (define @t109 () (tptp.subset_union2 @t1 @t11 @t45)) % 43.64/44.02 (define @t110 () (tptp.element @t45 @t32)) % 43.64/44.02 (define @t111 () (and @t33 @t110)) % 43.64/44.02 (define @t112 () (tptp.subset_intersection2 @t1 @t11 @t45)) % 43.64/44.02 (define @t113 () (tptp.ordinal_subset @t1 @t11)) % 43.64/44.02 (define @t114 () (and @t40 @t37)) % 43.64/44.02 (define @t115 () (@var "D" $$unsorted)) % 43.64/44.02 (define @t116 () (= @t45 @t115)) % 43.64/44.02 (define @t117 () (tptp.in @t45 @t1)) % 43.64/44.02 (define @t118 () (tptp.ordered_pair @t45 @t115)) % 43.64/44.02 (define @t119 () (tptp.in @t118 @t11)) % 43.64/44.02 (define @t120 () (@list @t45 @t115)) % 43.64/44.02 (define @t121 () (tptp.identity_relation @t1)) % 43.64/44.02 (define @t122 () (= @t11 @t121)) % 43.64/44.02 (define @t123 () (tptp.relation @t11)) % 43.64/44.02 (define @t124 () (tptp.subset @t11 @t1)) % 43.64/44.02 (define @t125 () (tptp.subset @t1 @t11)) % 43.64/44.02 (define @t126 () (= @t1 @t11)) % 43.64/44.02 (define @t127 () (tptp.related @t1 @t115 @t45)) % 43.64/44.02 (define @t128 () (tptp.relstr_element_smaller @t1 @t11 @t115)) % 43.64/44.02 (define @t129 () (tptp.element @t115 @t3)) % 43.64/44.02 (define @t130 () (@list @t115)) % 43.64/44.02 (define @t131 () (forall @t130 (=> @t129 (=> @t128 @t127)))) % 43.64/44.02 (define @t132 () (tptp.relstr_element_smaller @t1 @t11 @t45)) % 43.64/44.02 (define @t133 () (tptp.meet_on_relstr @t1 @t11)) % 43.64/44.02 (define @t134 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 43.64/44.02 (define @t135 () (@list @t11 @t45)) % 43.64/44.02 (define @t136 () (tptp.identity_on_carrier @t1)) % 43.64/44.02 (define @t137 () (tptp.one_sorted_str @t1)) % 43.64/44.02 (define @t138 () (@var "E" $$unsorted)) % 43.64/44.02 (define @t139 () (tptp.ordered_pair @t115 @t138)) % 43.64/44.02 (define @t140 () (tptp.in @t139 @t1)) % 43.64/44.02 (define @t141 () (tptp.in @t115 @t11)) % 43.64/44.02 (define @t142 () (tptp.in @t139 @t45)) % 43.64/44.02 (define @t143 () (@list @t115 @t138)) % 43.64/44.02 (define @t144 () (tptp.relation_dom_restriction @t1 @t11)) % 43.64/44.02 (define @t145 () (tptp.bottom_of_relstr @t1)) % 43.64/44.02 (define @t146 () (tptp.in @t138 @t11)) % 43.64/44.02 (define @t147 () (tptp.relation_dom @t1)) % 43.64/44.02 (define @t148 () (@list @t138)) % 43.64/44.02 (define @t149 () (tptp.in @t115 @t45)) % 43.64/44.02 (define @t150 () (tptp.relation_image @t1 @t11)) % 43.64/44.02 (define @t151 () (= @t45 @t150)) % 43.64/44.02 (define @t152 () (and @t67 @t44)) % 43.64/44.02 (define @t153 () (tptp.in @t138 @t1)) % 43.64/44.02 (define @t154 () (tptp.relation_rng_restriction @t1 @t11)) % 43.64/44.02 (define @t155 () (tptp.relation_field @t1)) % 43.64/44.02 (define @t156 () (tptp.antisymmetric @t1)) % 43.64/44.02 (define @t157 () (tptp.apply @t1 @t115)) % 43.64/44.02 (define @t158 () (tptp.in @t115 @t147)) % 43.64/44.02 (define @t159 () (= @t45 (tptp.relation_inverse_image @t1 @t11))) % 43.64/44.02 (define @t160 () (tptp.meet @t1 @t11 @t45)) % 43.64/44.02 (define @t161 () (forall @t90 (=> @t100 (and (= @t160 @t11) (= (tptp.meet @t1 @t45 @t11) @t11))))) % 43.64/44.02 (define @t162 () (tptp.lower_bounded_semilattstr @t1)) % 43.64/44.02 (define @t163 () (and @t59 @t107)) % 43.64/44.02 (define @t164 () (tptp.powerset @t3)) % 43.64/44.02 (define @t165 () (tptp.element @t138 @t164)) % 43.64/44.02 (define @t166 () (tptp.topstr_closure @t1 @t11)) % 43.64/44.02 (define @t167 () (tptp.element @t45 @t164)) % 43.64/44.02 (define @t168 () (tptp.element @t11 @t164)) % 43.64/44.02 (define @t169 () (tptp.top_str @t1)) % 43.64/44.02 (define @t170 () (tptp.ordered_pair @t138 @t115)) % 43.64/44.02 (define @t171 () (tptp.the_carrier @t11)) % 43.64/44.02 (define @t172 () (tptp.subrelstr @t11 @t1)) % 43.64/44.02 (define @t173 () (= @t172 (and (tptp.subset @t171 @t3) (tptp.subset (tptp.the_InternalRel @t11) @t2)))) % 43.64/44.02 (define @t174 () (tptp.rel_str @t11)) % 43.64/44.02 (define @t175 () (forall @t20 (=> @t174 @t173))) % 43.64/44.02 (define @t176 () (=> @t5 @t175)) % 43.64/44.02 (define @t177 () (forall @t6 @t176)) % 43.64/44.02 (define @t178 () (tptp.connected @t1)) % 43.64/44.02 (define @t179 () (tptp.latt_set_smaller @t1 @t11 @t45)) % 43.64/44.02 (define @t180 () (and @t59 @t10)) % 43.64/44.02 (define @t181 () (tptp.bottom_of_semilattstr @t1)) % 43.64/44.02 (define @t182 () (tptp.ordered_pair @t11 @t45)) % 43.64/44.02 (define @t183 () (tptp.interior @t1 @t45)) % 43.64/44.02 (define @t184 () (tptp.point_neighbourhood @t45 @t1 @t11)) % 43.64/44.02 (define @t185 () (tptp.topological_space @t1)) % 43.64/44.02 (define @t186 () (and @t59 @t185 @t169)) % 43.64/44.02 (define @t187 () (= @t138 @t45)) % 43.64/44.02 (define @t188 () (not @t187)) % 43.64/44.02 (define @t189 () (tptp.in @t138 @t115)) % 43.64/44.02 (define @t190 () (@list @t1 @t11 @t45 @t115)) % 43.64/44.02 (define @t191 () (tptp.relation_dom @t11)) % 43.64/44.02 (define @t192 () (tptp.relation_rng @t11)) % 43.64/44.02 (define @t193 () (tptp.in (tptp.ordered_pair @t11 @t115) @t1)) % 43.64/44.02 (define @t194 () (tptp.in @t182 @t1)) % 43.64/44.02 (define @t195 () (@list @t11 @t45 @t115)) % 43.64/44.02 (define @t196 () (= @t45 tptp.empty_set)) % 43.64/44.02 (define @t197 () (= @t1 tptp.empty_set)) % 43.64/44.02 (define @t198 () (= @t11 tptp.empty_set)) % 43.64/44.02 (define @t199 () (tptp.relation_dom_as_subset @t1 @t11 @t45)) % 43.64/44.02 (define @t200 () (tptp.relation_of2_as_subset @t45 @t1 @t11)) % 43.64/44.02 (define @t201 () (tptp.element @t115 @t32)) % 43.64/44.02 (define @t202 () (tptp.boole_lattice @t1)) % 43.64/44.02 (define @t203 () (tptp.latt_str @t11)) % 43.64/44.02 (define @t204 () (tptp.join @t1 @t11 @t45)) % 43.64/44.02 (define @t205 () (and @t59 @t102)) % 43.64/44.02 (define @t206 () (= @t11 @t45)) % 43.64/44.02 (define @t207 () (= @t1 @t118)) % 43.64/44.02 (define @t208 () (exists @t135 (= @t1 @t182))) % 43.64/44.02 (define @t209 () (tptp.singleton @t1)) % 43.64/44.02 (define @t210 () (tptp.succ @t1)) % 43.64/44.02 (define @t211 () (tptp.the_topology @t1)) % 43.64/44.02 (define @t212 () (tptp.in @t11 @t211)) % 43.64/44.02 (define @t213 () (tptp.union_of_subsets @t3 @t11)) % 43.64/44.02 (define @t214 () (tptp.powerset @t164)) % 43.64/44.02 (define @t215 () (tptp.element @t11 @t214)) % 43.64/44.02 (define @t216 () (tptp.in @t45 @t11)) % 43.64/44.02 (define @t217 () (tptp.is_reflexive_in @t1 @t11)) % 43.64/44.02 (define @t218 () (= @t11 (tptp.set_meet @t1))) % 43.64/44.02 (define @t219 () (tptp.in @t45 @t115)) % 43.64/44.02 (define @t220 () (tptp.in @t115 @t1)) % 43.64/44.02 (define @t221 () (not @t197)) % 43.64/44.02 (define @t222 () (tptp.empty @t3)) % 43.64/44.02 (define @t223 () (tptp.subset_complement @t3 @t11)) % 43.64/44.02 (define @t224 () (tptp.interior @t1 @t11)) % 43.64/44.02 (define @t225 () (tptp.open_subset @t45 @t1)) % 43.64/44.02 (define @t226 () (tptp.open_subsets @t11 @t1)) % 43.64/44.02 (define @t227 () (= @t115 @t11)) % 43.64/44.02 (define @t228 () (tptp.subset @t45 @t115)) % 43.64/44.02 (define @t229 () (tptp.relation_field @t11)) % 43.64/44.02 (define @t230 () (tptp.inclusion_relation @t1)) % 43.64/44.02 (define @t231 () (tptp.join_of_latt_set @t1 @t11)) % 43.64/44.02 (define @t232 () (and @t59 @t61 (tptp.complete_latt_str @t1) @t10)) % 43.64/44.02 (define @t233 () (tptp.meet_of_latt_set @t1 @t11)) % 43.64/44.02 (define @t234 () (tptp.set_meet @t11)) % 43.64/44.02 (define @t235 () (not @t198)) % 43.64/44.02 (define @t236 () (tptp.k2_lattice3 @t1)) % 43.64/44.02 (define @t237 () (tptp.poset_of_lattice @t1)) % 43.64/44.02 (define @t238 () (and @t59 @t61 @t10)) % 43.64/44.02 (define @t239 () (= @t11 @t115)) % 43.64/44.02 (define @t240 () (tptp.empty_carrier_subset @t1)) % 43.64/44.02 (define @t241 () (tptp.in @t118 @t1)) % 43.64/44.02 (define @t242 () (tptp.union @t1)) % 43.64/44.02 (define @t243 () (= @t11 @t242)) % 43.64/44.02 (define @t244 () (forall @t90 (=> @t167 (=> @t216 (tptp.closed_subset @t45 @t1))))) % 43.64/44.02 (define @t245 () (tptp.closed_subsets @t11 @t1)) % 43.64/44.02 (define @t246 () (tptp.well_founded_relation @t1)) % 43.64/44.02 (define @t247 () (@var "F" $$unsorted)) % 43.64/44.02 (define @t248 () (tptp.ordered_pair @t138 @t247)) % 43.64/44.02 (define @t249 () (tptp.in @t247 @t11)) % 43.64/44.02 (define @t250 () (@list @t138 @t247)) % 43.64/44.02 (define @t251 () (tptp.subset @t45 @t11)) % 43.64/44.02 (define @t252 () (tptp.element @t45 @t214)) % 43.64/44.02 (define @t253 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 43.64/44.02 (define @t254 () (tptp.compact_top_space @t1)) % 43.64/44.02 (define @t255 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 43.64/44.02 (define @t256 () (tptp.below @t1 @t11 @t45)) % 43.64/44.02 (define @t257 () (not @t216)) % 43.64/44.02 (define @t258 () (not @t206)) % 43.64/44.02 (define @t259 () (tptp.in @t11 @t45)) % 43.64/44.02 (define @t260 () (tptp.cast_as_carrier_subset @t1)) % 43.64/44.02 (define @t261 () (forall @t90 (=> @t117 @t216))) % 43.64/44.02 (define @t262 () (not @t196)) % 43.64/44.02 (define @t263 () (tptp.is_well_founded_in @t1 @t11)) % 43.64/44.02 (define @t264 () (tptp.apply @t1 @t11)) % 43.64/44.02 (define @t265 () (= @t45 @t264)) % 43.64/44.02 (define @t266 () (tptp.in @t11 @t147)) % 43.64/44.02 (define @t267 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 43.64/44.02 (define @t268 () (tptp.the_carrier @t237)) % 43.64/44.02 (define @t269 () (tptp.element @t11 @t268)) % 43.64/44.02 (define @t270 () (tptp.in (tptp.ordered_pair @t115 @t45) @t1)) % 43.64/44.02 (define @t271 () (tptp.is_antisymmetric_in @t1 @t11)) % 43.64/44.02 (define @t272 () (tptp.cast_to_subset @t1)) % 43.64/44.02 (define @t273 () (tptp.well_ordering @t1)) % 43.64/44.02 (define @t274 () (tptp.relation_rng @t45)) % 43.64/44.02 (define @t275 () (tptp.relation_dom @t45)) % 43.64/44.02 (define @t276 () (= @t275 @t1)) % 43.64/44.02 (define @t277 () (tptp.equipotent @t1 @t11)) % 43.64/44.02 (define @t278 () (tptp.set_difference @t1 @t11)) % 43.64/44.02 (define @t279 () (tptp.lower_bounded_relstr @t1)) % 43.64/44.02 (define @t280 () (and @t158 (= @t45 @t157))) % 43.64/44.02 (define @t281 () (tptp.relation_rng @t1)) % 43.64/44.02 (define @t282 () (= @t11 @t281)) % 43.64/44.02 (define @t283 () (tptp.transitive_relstr @t1)) % 43.64/44.02 (define @t284 () (tptp.being_limit_ordinal @t1)) % 43.64/44.02 (define @t285 () (tptp.open_subset @t11 @t1)) % 43.64/44.02 (define @t286 () (tptp.subset_complement @t1 @t11)) % 43.64/44.02 (define @t287 () (tptp.ordered_pair @t1 @t11)) % 43.64/44.02 (define @t288 () (tptp.is_connected_in @t1 @t11)) % 43.64/44.02 (define @t289 () (tptp.is_transitive_in @t1 @t11)) % 43.64/44.02 (define @t290 () (tptp.antisymmetric_relstr @t1)) % 43.64/44.02 (define @t291 () (tptp.subset_difference @t3 @t260 @t11)) % 43.64/44.02 (define @t292 () (tptp.closed_subset @t11 @t1)) % 43.64/44.02 (define @t293 () (tptp.cartesian_product2 @t11 @t11)) % 43.64/44.02 (define @t294 () (tptp.relation_restriction @t1 @t11)) % 43.64/44.02 (define @t295 () (tptp.relation_inverse @t1)) % 43.64/44.02 (define @t296 () (tptp.apply @t45 @t138)) % 43.64/44.02 (define @t297 () (tptp.apply @t45 @t115)) % 43.64/44.02 (define @t298 () (tptp.relation_isomorphism @t1 @t11 @t45)) % 43.64/44.02 (define @t299 () (and @t69 @t47)) % 43.64/44.02 (define @t300 () (tptp.disjoint @t1 @t11)) % 43.64/44.02 (define @t301 () (= @t115 @t45)) % 43.64/44.02 (define @t302 () (tptp.element @t138 @t3)) % 43.64/44.02 (define @t303 () (tptp.relstr_set_smaller @t1 @t11 @t115)) % 43.64/44.02 (define @t304 () (tptp.related @t1 @t45 @t115)) % 43.64/44.02 (define @t305 () (forall @t130 (=> @t129 (=> @t303 @t304)))) % 43.64/44.02 (define @t306 () (tptp.relstr_set_smaller @t1 @t11 @t45)) % 43.64/44.02 (define @t307 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 43.64/44.02 (define @t308 () (tptp.relation_of_lattice @t1)) % 43.64/44.02 (define @t309 () (@list @t247)) % 43.64/44.02 (define @t310 () (tptp.relation_composition @t1 @t11)) % 43.64/44.02 (define @t311 () (@list @t45 @t115 @t138)) % 43.64/44.02 (define @t312 () (tptp.complements_of_subsets @t1 @t11)) % 43.64/44.02 (define @t313 () (tptp.powerset @t32)) % 43.64/44.02 (define @t314 () (tptp.element @t11 @t313)) % 43.64/44.02 (define @t315 () (not @t126)) % 43.64/44.02 (define @t316 () (tptp.function_inverse @t1)) % 43.64/44.02 (define @t317 () (tptp.related @t1 @t11 @t45)) % 43.64/44.02 (define @t318 () (= @t317 (tptp.in @t182 @t2))) % 43.64/44.02 (define @t319 () (forall @t90 (=> @t100 @t318))) % 43.64/44.02 (define @t320 () (=> @t101 @t319)) % 43.64/44.02 (define @t321 () (forall @t20 @t320)) % 43.64/44.02 (define @t322 () (=> @t5 @t321)) % 43.64/44.02 (define @t323 () (forall @t6 @t322)) % 43.64/44.02 (define @t324 () (tptp.join_on_relstr @t1 @t11)) % 43.64/44.02 (define @t325 () (tptp.rel_str_of @t1 @t11)) % 43.64/44.02 (define @t326 () (tptp.strict_rel_str @t325)) % 43.64/44.02 (define @t327 () (tptp.latt_str_of @t1 @t11 @t45)) % 43.64/44.02 (define @t328 () (tptp.strict_latt_str @t327)) % 43.64/44.02 (define @t329 () (tptp.cartesian_product2 @t1 @t1)) % 43.64/44.02 (define @t330 () (tptp.relation_of2 @t45 @t329 @t1)) % 43.64/44.02 (define @t331 () (tptp.quasi_total @t45 @t329 @t1)) % 43.64/44.02 (define @t332 () (tptp.relation_of2 @t11 @t329 @t1)) % 43.64/44.02 (define @t333 () (tptp.quasi_total @t11 @t329 @t1)) % 43.64/44.02 (define @t334 () (and @t86 @t333 @t332 @t47 @t331 @t330)) % 43.64/44.02 (define @t335 () (tptp.k8_filter_1 @t1 @t11)) % 43.64/44.02 (define @t336 () (tptp.k10_filter_1 @t1 @t11 @t45 @t115)) % 43.64/44.02 (define @t337 () (tptp.element @t115 @t171)) % 43.64/44.02 (define @t338 () (tptp.lattice @t11)) % 43.64/44.02 (define @t339 () (not (tptp.empty_carrier @t11))) % 43.64/44.02 (define @t340 () (and @t59 @t61 @t10 @t339 @t338 @t203 @t100 @t337)) % 43.64/44.02 (define @t341 () (tptp.ordered_pair_as_product_element @t1 @t11 @t45 @t115)) % 43.64/44.02 (define @t342 () (tptp.element @t45 @t1)) % 43.64/44.02 (define @t343 () (and @t94 @t92 @t342 (tptp.element @t115 @t11))) % 43.64/44.02 (define @t344 () (tptp.strict_latt_str @t202)) % 43.64/44.02 (define @t345 () (tptp.k1_pcomps_1 @t1)) % 43.64/44.02 (define @t346 () (and @t169 @t168)) % 43.64/44.02 (define @t347 () (tptp.apply_binary_as_element @t1 @t11 @t45 @t115 @t138 @t247)) % 43.64/44.02 (define @t348 () (tptp.function @t115)) % 43.64/44.02 (define @t349 () (and @t94 @t92 @t348 (tptp.quasi_total @t115 @t70 @t45) (tptp.relation_of2 @t115 @t70 @t45) (tptp.element @t138 @t1) (tptp.element @t247 @t11))) % 43.64/44.02 (define @t350 () (@list @t1 @t11 @t45 @t115 @t138 @t247)) % 43.64/44.02 (define @t351 () (tptp.antisymmetric_relstr @t237)) % 43.64/44.02 (define @t352 () (tptp.transitive_relstr @t237)) % 43.64/44.02 (define @t353 () (tptp.reflexive_relstr @t237)) % 43.64/44.02 (define @t354 () (tptp.strict_rel_str @t237)) % 43.64/44.02 (define @t355 () (tptp.relation @t295)) % 43.64/44.02 (define @t356 () (tptp.relation @t310)) % 43.64/44.02 (define @t357 () (and @t67 @t123)) % 43.64/44.02 (define @t358 () (tptp.powerset @t11)) % 43.64/44.02 (define @t359 () (tptp.relation_rng_as_subset @t1 @t11 @t45)) % 43.64/44.02 (define @t360 () (tptp.union_of_subsets @t1 @t11)) % 43.64/44.02 (define @t361 () (tptp.identity_as_relation_of @t1)) % 43.64/44.02 (define @t362 () (tptp.relation @t121)) % 43.64/44.02 (define @t363 () (tptp.meet_of_subsets @t1 @t11)) % 43.64/44.02 (define @t364 () (tptp.subset_difference @t1 @t11 @t45)) % 43.64/44.02 (define @t365 () (tptp.relation @t144)) % 43.64/44.02 (define @t366 () (tptp.apply_as_element @t1 @t11 @t45 @t115)) % 43.64/44.02 (define @t367 () (and @t94 @t47 @t46 @t50 (tptp.element @t115 @t1))) % 43.64/44.02 (define @t368 () (tptp.relation @t154)) % 43.64/44.02 (define @t369 () (and @t59 @t185 @t169 @t101)) % 43.64/44.02 (define @t370 () (forall @t20 (=> @t172 @t174))) % 43.64/44.02 (define @t371 () (=> @t5 @t370)) % 43.64/44.02 (define @t372 () (forall @t6 @t371)) % 43.64/44.02 (define @t373 () (tptp.cartesian_product2 @t3 @t3)) % 43.64/44.02 (define @t374 () (tptp.quasi_total @t7 @t373 @t3)) % 43.64/44.02 (define @t375 () (tptp.function @t7)) % 43.64/44.02 (define @t376 () (tptp.quasi_total @t8 @t373 @t3)) % 43.64/44.02 (define @t377 () (tptp.function @t8)) % 43.64/44.02 (define @t378 () (tptp.finite @t105)) % 43.64/44.02 (define @t379 () (tptp.relation_composition @t11 @t1)) % 43.64/44.02 (define @t380 () (and @t30 @t123)) % 43.64/44.02 (define @t381 () (tptp.relation_empty_yielding tptp.empty_set)) % 43.64/44.02 (define @t382 () (tptp.relation tptp.empty_set)) % 43.64/44.02 (define @t383 () (tptp.empty tptp.empty_set)) % 43.64/44.02 (define @t384 () (tptp.relation_empty_yielding @t1)) % 43.64/44.02 (define @t385 () (and @t67 @t384)) % 43.64/44.02 (define @t386 () (and @t41 @t74)) % 43.64/44.02 (define @t387 () (not (tptp.empty @t209))) % 43.64/44.02 (define @t388 () (not (tptp.empty @t32))) % 43.64/44.02 (define @t389 () (not (tptp.empty_carrier @t202))) % 43.64/44.02 (define @t390 () (not (tptp.empty @t210))) % 43.64/44.02 (define @t391 () (and @t59 @t137)) % 43.64/44.02 (define @t392 () (tptp.v1_membered @t105)) % 43.64/44.02 (define @t393 () (tptp.v1_membered @t104)) % 43.64/44.02 (define @t394 () (tptp.v2_membered @t105)) % 43.64/44.02 (define @t395 () (tptp.ordinal @t210)) % 43.64/44.02 (define @t396 () (tptp.epsilon_connected @t210)) % 43.64/44.02 (define @t397 () (tptp.epsilon_transitive @t210)) % 43.64/44.02 (define @t398 () (tptp.function @t121)) % 43.64/44.02 (define @t399 () (tptp.v1_partfun1 @t8 @t373 @t3)) % 43.64/44.02 (define @t400 () (tptp.relation @t8)) % 43.64/44.02 (define @t401 () (and @t59 @t57 @t102)) % 43.64/44.02 (define @t402 () (tptp.reflexive_relstr @t1)) % 43.64/44.02 (define @t403 () (and @t185 @t169 @t168)) % 43.64/44.02 (define @t404 () (tptp.v2_membered @t104)) % 43.64/44.02 (define @t405 () (tptp.v3_membered @t105)) % 43.64/44.02 (define @t406 () (tptp.v3_membered @t104)) % 43.64/44.02 (define @t407 () (tptp.v4_membered @t105)) % 43.64/44.02 (define @t408 () (tptp.v4_membered @t104)) % 43.64/44.02 (define @t409 () (tptp.v1_membered @t278)) % 43.64/44.02 (define @t410 () (tptp.v2_membered @t278)) % 43.64/44.02 (define @t411 () (tptp.v3_membered @t278)) % 43.64/44.02 (define @t412 () (tptp.transitive @t11)) % 43.64/44.02 (define @t413 () (tptp.antisymmetric @t11)) % 43.64/44.02 (define @t414 () (tptp.open_subset @t223 @t1)) % 43.64/44.02 (define @t415 () (tptp.v4_membered @t278)) % 43.64/44.02 (define @t416 () (tptp.v1_partfun1 @t7 @t373 @t3)) % 43.64/44.02 (define @t417 () (tptp.relation @t7)) % 43.64/44.02 (define @t418 () (tptp.closed_subset @t223 @t1)) % 43.64/44.02 (define @t419 () (and @t123 @t86)) % 43.64/44.02 (define @t420 () (and @t185 @t169)) % 43.64/44.02 (define @t421 () (tptp.empty @t147)) % 43.64/44.02 (define @t422 () (and @t94 @t67)) % 43.64/44.02 (define @t423 () (tptp.empty @t281)) % 43.64/44.02 (define @t424 () (tptp.open_subset @t224 @t1)) % 43.64/44.02 (define @t425 () (tptp.element @t45 @t171)) % 43.64/44.02 (define @t426 () (and @t339 @t338 @t203)) % 43.64/44.02 (define @t427 () (= @t1 @t115)) % 43.64/44.02 (define @t428 () (exists @t130 (and @t337 @t427 (tptp.latt_set_smaller @t11 @t115 @t45)))) % 43.64/44.02 (define @t429 () (= @t1 @t45)) % 43.64/44.02 (define @t430 () (and @t429 @t239)) % 43.64/44.02 (define @t431 () (= @t45 @t247)) % 43.64/44.02 (define @t432 () (@list @t115 @t138 @t247)) % 43.64/44.02 (define @t433 () (tptp.in @t11 @t155)) % 43.64/44.02 (define @t434 () (tptp.disjoint @t209 @t11)) % 43.64/44.02 (define @t435 () (not @t14)) % 43.64/44.02 (define @t436 () (tptp.well_ordering @t11)) % 43.64/44.02 (define @t437 () (forall @t90 (=> @t216 @t117))) % 43.64/44.02 (define @t438 () (=> @t33 @t437)) % 43.64/44.02 (define @t439 () (forall @t15 @t438)) % 43.64/44.02 (define @t440 () (tptp.in (tptp.ordered_pair @t45 @t11) @t1)) % 43.64/44.02 (define @t441 () (tptp.singleton @t45)) % 43.64/44.02 (define @t442 () (not @t194)) % 43.64/44.02 (define @t443 () (tptp.singleton @t11)) % 43.64/44.02 (define @t444 () (tptp.union @t11)) % 43.64/44.02 (define @t445 () (tptp.in @t1 @t45)) % 43.64/44.02 (define @t446 () (tptp.element @t1 @t358)) % 43.64/44.02 (define @t447 () (tptp.relation_dom_restriction @t45 @t1)) % 43.64/44.02 (define @t448 () (tptp.in @t11 (tptp.relation_dom @t447))) % 43.64/44.02 (define @t449 () (tptp.proper_element @t11 @t32)) % 43.64/44.02 (define @t450 () (tptp.set_union2 @t11 @t45)) % 43.64/44.02 (define @t451 () (tptp.set_intersection2 @t11 @t45)) % 43.64/44.02 (define @t452 () (tptp.set_difference @t11 @t45)) % 43.64/44.02 (define @t453 () (tptp.below_refl @t1 @t11 @t45)) % 43.64/44.02 (define @t454 () (and @t59 @t55 @t53 @t52 @t10 @t101 @t100)) % 43.64/44.02 (define @t455 () (and @t59 @t402 @t5 @t101 @t100)) % 43.64/44.02 (define @t456 () (@var "K" $$unsorted)) % 43.64/44.02 (define @t457 () (@var "J" $$unsorted)) % 43.64/44.02 (define @t458 () (tptp.in @t456 @t457)) % 43.64/44.02 (define @t459 () (@list @t456)) % 43.64/44.02 (define @t460 () (@list @t457)) % 43.64/44.02 (define @t461 () (= @t115 @t138)) % 43.64/44.02 (define @t462 () (@var "I" $$unsorted)) % 43.64/44.02 (define @t463 () (@var "H" $$unsorted)) % 43.64/44.02 (define @t464 () (tptp.in @t462 @t463)) % 43.64/44.02 (define @t465 () (@list @t462)) % 43.64/44.02 (define @t466 () (@list @t463)) % 43.64/44.02 (define @t467 () (exists @t466 (and (= @t45 @t463) (tptp.in @t138 @t463) (forall @t465 (=> @t464 (tptp.in (tptp.ordered_pair @t138 @t462) @t11)))))) % 43.64/44.02 (define @t468 () (@var "G" $$unsorted)) % 43.64/44.02 (define @t469 () (tptp.in @t468 @t247)) % 43.64/44.02 (define @t470 () (@list @t468)) % 43.64/44.02 (define @t471 () (exists @t309 (and @t431 (tptp.in @t115 @t247) (forall @t470 (=> @t469 (tptp.in (tptp.ordered_pair @t115 @t468) @t11)))))) % 43.64/44.02 (define @t472 () (forall @t311 (=> (and @t117 @t471 @t117 @t467) @t461))) % 43.64/44.02 (define @t473 () (and @t94 @t123)) % 43.64/44.02 (define @t474 () (= @t115 @t443)) % 43.64/44.02 (define @t475 () (= @t45 @t443)) % 43.64/44.02 (define @t476 () (forall @t195 (=> (and @t12 @t475 @t12 @t474) @t116))) % 43.64/44.02 (define @t477 () (tptp.subset_complement @t3 @t463)) % 43.64/44.02 (define @t478 () (= @t463 @t115)) % 43.64/44.02 (define @t479 () (tptp.element @t463 @t164)) % 43.64/44.02 (define @t480 () (forall @t466 (=> @t479 (=> @t478 (= @t138 @t477))))) % 43.64/44.02 (define @t481 () (tptp.complements_of_subsets @t3 @t11)) % 43.64/44.02 (define @t482 () (tptp.in @t115 @t481)) % 43.64/44.02 (define @t483 () (tptp.element @t468 @t164)) % 43.64/44.02 (define @t484 () (forall @t470 (=> @t483 (=> (= @t468 @t45) (= @t138 (tptp.subset_complement @t3 @t468)))))) % 43.64/44.02 (define @t485 () (tptp.in @t45 @t481)) % 43.64/44.02 (define @t486 () (tptp.element @t247 @t164)) % 43.64/44.02 (define @t487 () (forall @t309 (=> @t486 (=> (= @t247 @t45) (= @t115 (tptp.subset_complement @t3 @t247)))))) % 43.64/44.02 (define @t488 () (forall @t311 (=> (and @t485 @t487 @t485 @t484) @t461))) % 43.64/44.02 (define @t489 () (and @t137 @t215)) % 43.64/44.02 (define @t490 () (forall @t311 (=> (and @t216 @t487 @t216 @t484) @t461))) % 43.64/44.02 (define @t491 () (tptp.ordinal @t45)) % 43.64/44.02 (define @t492 () (@var "S" $$unsorted)) % 43.64/44.02 (define @t493 () (@var "T" $$unsorted)) % 43.64/44.02 (define @t494 () (@var "R" $$unsorted)) % 43.64/44.02 (define @t495 () (tptp.powerset (tptp.powerset @t115))) % 43.64/44.02 (define @t496 () (@list @t494)) % 43.64/44.02 (define @t497 () (tptp.in @t115 tptp.omega)) % 43.64/44.02 (define @t498 () (tptp.ordinal @t115)) % 43.64/44.02 (define @t499 () (@var "P" $$unsorted)) % 43.64/44.02 (define @t500 () (@var "Q" $$unsorted)) % 43.64/44.02 (define @t501 () (@var "O" $$unsorted)) % 43.64/44.02 (define @t502 () (@list @t500)) % 43.64/44.02 (define @t503 () (@list @t499)) % 43.64/44.02 (define @t504 () (@list @t501)) % 43.64/44.02 (define @t505 () (@var "M" $$unsorted)) % 43.64/44.02 (define @t506 () (@var "N" $$unsorted)) % 43.64/44.02 (define @t507 () (@var "L" $$unsorted)) % 43.64/44.02 (define @t508 () (@list @t506)) % 43.64/44.02 (define @t509 () (tptp.in @t505 @t507)) % 43.64/44.02 (define @t510 () (@list @t505)) % 43.64/44.02 (define @t511 () (@list @t507)) % 43.64/44.02 (define @t512 () (tptp.succ @t115)) % 43.64/44.02 (define @t513 () (=> @t497 (forall @t148 (=> (tptp.element @t138 @t495) (not (and (not (= @t138 tptp.empty_set)) (forall @t309 (not (and (tptp.in @t247 @t138) (forall @t470 (=> (and (tptp.in @t468 @t138) (tptp.subset @t247 @t468)) (= @t468 @t247)))))))))))) % 43.64/44.02 (define @t514 () (tptp.subset @t11 @t45)) % 43.64/44.02 (define @t515 () (tptp.powerset tptp.empty_set)) % 43.64/44.02 (define @t516 () (tptp.apply @t45 @t247)) % 43.64/44.02 (define @t517 () (tptp.in @t247 @t1)) % 43.64/44.02 (define @t518 () (tptp.relation @t115)) % 43.64/44.02 (define @t519 () (and @t123 @t69 @t47)) % 43.64/44.02 (define @t520 () (forall @t459 (=> @t458 (tptp.in (tptp.ordered_pair @t115 @t456) @t11)))) % 43.64/44.02 (define @t521 () (tptp.in @t115 @t457)) % 43.64/44.02 (define @t522 () (= @t247 @t138)) % 43.64/44.02 (define @t523 () (tptp.cartesian_product2 @t1 @t45)) % 43.64/44.02 (define @t524 () (= @t138 @t247)) % 43.64/44.02 (define @t525 () (tptp.ordered_pair @t456 @t507)) % 43.64/44.02 (define @t526 () (@list @t456 @t507)) % 43.64/44.02 (define @t527 () (= @t115 @t247)) % 43.64/44.02 (define @t528 () (tptp.in @t457 @t462)) % 43.64/44.02 (define @t529 () (tptp.in @t468 @t1)) % 43.64/44.02 (define @t530 () (tptp.ordered_pair @t468 @t463)) % 43.64/44.02 (define @t531 () (= @t530 @t138)) % 43.64/44.02 (define @t532 () (@list @t468 @t463)) % 43.64/44.02 (define @t533 () (tptp.ordered_pair @t457 @t456)) % 43.64/44.02 (define @t534 () (@list @t457 @t456)) % 43.64/44.02 (define @t535 () (= @t138 @t115)) % 43.64/44.02 (define @t536 () (tptp.in @t463 @t1)) % 43.64/44.02 (define @t537 () (= @t45 @t138)) % 43.64/44.02 (define @t538 () (tptp.ordered_pair @t247 @t468)) % 43.64/44.02 (define @t539 () (@list @t247 @t468)) % 43.64/44.02 (define @t540 () (not (and (not (= @t247 tptp.empty_set)) (forall @t470 (not (and @t469 (forall @t466 (=> (and (tptp.in @t463 @t247) (tptp.subset @t468 @t463)) (= @t463 @t468))))))))) % 43.64/44.02 (define @t541 () (tptp.ordinal @t138)) % 43.64/44.02 (define @t542 () (tptp.subset @t11 @t115)) % 43.64/44.02 (define @t543 () (tptp.in @t138 @t164)) % 43.64/44.02 (define @t544 () (= @t247 @t115)) % 43.64/44.02 (define @t545 () (tptp.in (tptp.set_difference @t260 @t115) @t11)) % 43.64/44.02 (define @t546 () (and @t185 @t169 @t215)) % 43.64/44.02 (define @t547 () (tptp.in @t468 @t11)) % 43.64/44.02 (define @t548 () (and @t40 (tptp.element @t11 (tptp.powerset (tptp.powerset @t210))))) % 43.64/44.02 (define @t549 () (= @t115 @t477)) % 43.64/44.02 (define @t550 () (forall @t466 (=> @t479 (=> (= @t463 @t138) @t549)))) % 43.64/44.02 (define @t551 () (tptp.in @t138 @t481)) % 43.64/44.02 (define @t552 () (forall @t504 (=> (tptp.element @t501 @t164) (=> (= @t501 @t505) (= @t506 (tptp.subset_complement @t3 @t501)))))) % 43.64/44.02 (define @t553 () (= (tptp.ordered_pair @t505 @t506) @t138)) % 43.64/44.02 (define @t554 () (@list @t505 @t506)) % 43.64/44.02 (define @t555 () (tptp.cartesian_product2 @t481 @t45)) % 43.64/44.02 (define @t556 () (forall @t511 (=> (tptp.element @t507 @t164) (=> (= @t507 @t457) (= @t456 (tptp.subset_complement @t3 @t507)))))) % 43.64/44.02 (define @t557 () (= @t533 @t247)) % 43.64/44.02 (define @t558 () (tptp.subset_complement @t3 @t462)) % 43.64/44.02 (define @t559 () (tptp.element @t462 @t164)) % 43.64/44.02 (define @t560 () (forall @t465 (=> @t559 (=> (= @t462 @t468) (= @t463 @t558))))) % 43.64/44.02 (define @t561 () (tptp.cartesian_product2 @t11 @t45)) % 43.64/44.02 (define @t562 () (tptp.apply @t45 @t468)) % 43.64/44.02 (define @t563 () (tptp.in (tptp.relation_image @t45 @t138) @t11)) % 43.64/44.02 (define @t564 () (tptp.powerset @t275)) % 43.64/44.02 (define @t565 () (and @t314 @t69 @t47)) % 43.64/44.02 (define @t566 () (tptp.succ @t11)) % 43.64/44.02 (define @t567 () (= @t538 @t138)) % 43.64/44.02 (define @t568 () (exists @t148 (and @t165 @t535 (tptp.closed_subset @t138 @t1) @t542))) % 43.64/44.02 (define @t569 () (tptp.in @t115 @t164)) % 43.64/44.02 (define @t570 () (forall @t466 (=> @t479 (=> (= @t463 @t247) (= @t468 @t477))))) % 43.64/44.02 (define @t571 () (tptp.apply @t11 @t45)) % 43.64/44.02 (define @t572 () (= @t191 @t1)) % 43.64/44.02 (define @t573 () (exists @t20 (and @t123 @t86 @t572 (forall @t90 (=> @t117 (= @t571 @t441)))))) % 43.64/44.02 (define @t574 () (forall @t465 (=> @t559 (=> (= @t462 @t115) (= @t297 @t558))))) % 43.64/44.02 (define @t575 () (forall @t130 (not (forall @t466 (=> @t479 (=> (= @t463 @t45) @t549)))))) % 43.64/44.02 (define @t576 () (tptp.in @t1 tptp.omega)) % 43.64/44.02 (define @t577 () (tptp.element @t115 @t164)) % 43.64/44.02 (define @t578 () (= @t312 tptp.empty_set)) % 43.64/44.02 (define @t579 () (not (and @t235 @t578))) % 43.64/44.02 (define @t580 () (tptp.relation_rng @t154)) % 43.64/44.02 (define @t581 () (tptp.meet_of_subsets @t1 @t312)) % 43.64/44.02 (define @t582 () (tptp.union_of_subsets @t1 @t312)) % 43.64/44.02 (define @t583 () (forall @t90 (not (and @t251 (not (tptp.are_equipotent @t45 @t11)) @t257)))) % 43.64/44.02 (define @t584 () (tptp.powerset @t45)) % 43.64/44.02 (define @t585 () (forall @t120 (=> (and @t216 (tptp.subset @t115 @t45)) @t141))) % 43.64/44.02 (define @t586 () (tptp.meet_of_subsets @t3 @t11)) % 43.64/44.02 (define @t587 () (tptp.relation_dom_restriction @t45 @t11)) % 43.64/44.02 (define @t588 () (tptp.relation_image @t11 @t1)) % 43.64/44.02 (define @t589 () (tptp.relation_inverse_image @t11 @t1)) % 43.64/44.02 (define @t590 () (tptp.relation_image @t11 @t589)) % 43.64/44.02 (define @t591 () (tptp.set_intersection2 @t191 @t1)) % 43.64/44.02 (define @t592 () (tptp.subset @t1 @t192)) % 43.64/44.02 (define @t593 () (tptp.relation_of2_as_subset @t115 @t45 @t11)) % 43.64/44.02 (define @t594 () (tptp.relation_rng @t115)) % 43.64/44.02 (define @t595 () (tptp.relation_of2_as_subset @t115 @t45 @t1)) % 43.64/44.02 (define @t596 () (and @t290 @t5)) % 43.64/44.02 (define @t597 () (tptp.relation_rng @t310)) % 43.64/44.02 (define @t598 () (tptp.relation_inverse_image @t45 @t11)) % 43.64/44.02 (define @t599 () (tptp.relation_restriction @t45 @t11)) % 43.64/44.02 (define @t600 () (tptp.relation_restriction @t11 @t1)) % 43.64/44.02 (define @t601 () (tptp.relation_dom_restriction @t11 @t1)) % 43.64/44.02 (define @t602 () (tptp.relation_field @t45)) % 43.64/44.02 (define @t603 () (tptp.in @t1 @t602)) % 43.64/44.02 (define @t604 () (tptp.subset @t1 @t45)) % 43.64/44.02 (define @t605 () (tptp.the_carrier @t202)) % 43.64/44.02 (define @t606 () (tptp.element @t45 @t605)) % 43.64/44.02 (define @t607 () (tptp.element @t11 @t605)) % 43.64/44.02 (define @t608 () (tptp.element @t1 @t11)) % 43.64/44.02 (define @t609 () (tptp.in @t1 @t275)) % 43.64/44.02 (define @t610 () (tptp.in @t287 @t45)) % 43.64/44.02 (define @t611 () (tptp.relation_field @t600)) % 43.64/44.02 (define @t612 () (tptp.apply @t45 @t1)) % 43.64/44.02 (define @t613 () (tptp.relation_composition @t45 @t11)) % 43.64/44.02 (define @t614 () (tptp.in @t1 (tptp.relation_dom @t613))) % 43.64/44.02 (define @t615 () (tptp.apply @t115 @t45)) % 43.64/44.02 (define @t616 () (and @t348 (tptp.quasi_total @t115 @t1 @t11) (tptp.relation_of2_as_subset @t115 @t1 @t11))) % 43.64/44.02 (define @t617 () (tptp.connected @t11)) % 43.64/44.02 (define @t618 () (tptp.well_ordering @t600)) % 43.64/44.02 (define @t619 () (= @t611 @t1)) % 43.64/44.02 (define @t620 () (tptp.well_orders @t11 @t1)) % 43.64/44.02 (define @t621 () (tptp.related @t1 @t11 @t115)) % 43.64/44.02 (define @t622 () (tptp.cast_to_el_of_LattPOSet @t11 @t45)) % 43.64/44.02 (define @t623 () (tptp.poset_of_lattice @t11)) % 43.64/44.02 (define @t624 () (tptp.cast_to_el_of_lattice @t11 @t45)) % 43.64/44.02 (define @t625 () (tptp.element @t45 (tptp.the_carrier @t623))) % 43.64/44.02 (define @t626 () (and (= @t11 (tptp.join_on_relstr @t1 @t45)) (tptp.ex_sup_of_relstr_set @t1 @t45))) % 43.64/44.02 (define @t627 () (and (tptp.relstr_set_smaller @t1 @t45 @t11) (forall @t130 (=> @t129 (=> (tptp.relstr_set_smaller @t1 @t45 @t115) @t621))))) % 43.64/44.02 (define @t628 () (tptp.well_founded_relation @t11)) % 43.64/44.02 (define @t629 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 43.64/44.02 (define @t630 () (forall @t15 (= @t446 @t125))) % 43.64/44.02 (define @t631 () (and @t117 @t216)) % 43.64/44.02 (define @t632 () (not @t300)) % 43.64/44.02 (define @t633 () (= @t1 @t566)) % 43.64/44.02 (define @t634 () (and @t59 @t290 @t279 @t5)) % 43.64/44.02 (define @t635 () (tptp.subset_complement @t1 @t45)) % 43.64/44.02 (define @t636 () (tptp.disjoint @t11 @t45)) % 43.64/44.02 (define @t637 () (tptp.relation_dom @t310)) % 43.64/44.02 (define @t638 () (and (tptp.closed_subset @t115 @t1) @t542)) % 43.64/44.02 (define @t639 () (tptp.element @t11 @t584)) % 43.64/44.02 (define @t640 () (tptp.in @t45 @t105)) % 43.64/44.02 (define @t641 () (= @t166 @t11)) % 43.64/44.02 (define @t642 () (and (tptp.in @t45 @t281) (= @t115 @t571))) % 43.64/44.02 (define @t643 () (tptp.function_inverse @t11)) % 43.64/44.02 (define @t644 () (tptp.related @t11 @t138 @t247)) % 43.64/44.02 (define @t645 () (and @t187 @t544 @t644)) % 43.64/44.02 (define @t646 () (=> @t645 @t304)) % 43.64/44.02 (define @t647 () (tptp.element @t247 @t171)) % 43.64/44.02 (define @t648 () (=> @t647 @t646)) % 43.64/44.02 (define @t649 () (forall @t309 @t648)) % 43.64/44.02 (define @t650 () (tptp.element @t138 @t171)) % 43.64/44.02 (define @t651 () (=> @t650 @t649)) % 43.64/44.02 (define @t652 () (forall @t148 @t651)) % 43.64/44.02 (define @t653 () (=> @t129 @t652)) % 43.64/44.02 (define @t654 () (forall @t130 @t653)) % 43.64/44.02 (define @t655 () (=> @t100 @t654)) % 43.64/44.02 (define @t656 () (forall @t90 @t655)) % 43.64/44.02 (define @t657 () (=> @t172 @t656)) % 43.64/44.02 (define @t658 () (forall @t20 @t657)) % 43.64/44.02 (define @t659 () (=> @t5 @t658)) % 43.64/44.02 (define @t660 () (forall @t6 @t659)) % 43.64/44.02 (define @t661 () (not @t660)) % 43.64/44.02 (define @t662 () (= @t281 tptp.empty_set)) % 43.64/44.02 (define @t663 () (= @t147 tptp.empty_set)) % 43.64/44.02 (define @t664 () (= (tptp.apply @t447 @t11) (tptp.apply @t45 @t11))) % 43.64/44.02 (define @t665 () (= @t209 (tptp.unordered_pair @t11 @t45))) % 43.64/44.02 (define @t666 () (@var "BOUND_VARIABLE_15987" $$unsorted)) % 43.64/44.02 (define @t667 () (tptp.in @t666 @t1)) % 43.64/44.02 (define @t668 () (not (tptp.in @t666 @t11))) % 43.64/44.02 (define @t669 () (not @t33)) % 43.64/44.02 (define @t670 () (or @t669 @t668 @t667)) % 43.64/44.02 (define @t671 () (or @t668 @t667)) % 43.64/44.02 (define @t672 () (or @t669 @t671)) % 43.64/44.02 (define @t673 () (@list @t1 @t11 @t666)) % 43.64/44.02 (define @t674 () (forall @t673 @t672)) % 43.64/44.02 (define @t675 () (@list @t666)) % 43.64/44.02 (define @t676 () (forall @t675 @t672)) % 43.64/44.02 (define @t677 () (forall @t675 @t671)) % 43.64/44.02 (define @t678 () (@list @t45)) % 43.64/44.02 (define @t679 () (or @t669 @t677)) % 43.64/44.02 (define @t680 () (forall @t90 (or @t257 @t117))) % 43.64/44.02 (define @t681 () (@var "BOUND_VARIABLE_22009" $$unsorted)) % 43.64/44.02 (define @t682 () (@var "BOUND_VARIABLE_22007" $$unsorted)) % 43.64/44.02 (define @t683 () (@var "BOUND_VARIABLE_22005" $$unsorted)) % 43.64/44.02 (define @t684 () (not (tptp.related @t683 @t682 @t681))) % 43.64/44.02 (define @t685 () (tptp.the_carrier @t683)) % 43.64/44.02 (define @t686 () (not (tptp.element @t681 @t685))) % 43.64/44.02 (define @t687 () (tptp.related @t1 @t682 @t681)) % 43.64/44.02 (define @t688 () (not (tptp.element @t681 @t3))) % 43.64/44.02 (define @t689 () (not (tptp.element @t682 @t685))) % 43.64/44.02 (define @t690 () (not (tptp.element @t682 @t3))) % 43.64/44.02 (define @t691 () (not (tptp.subrelstr @t683 @t1))) % 43.64/44.02 (define @t692 () (not @t5)) % 43.64/44.02 (define @t693 () (or @t692 @t691 @t690 @t689 @t688 @t687 @t686 @t684)) % 43.64/44.02 (define @t694 () (@list @t1 @t683 @t682 @t681)) % 43.64/44.02 (define @t695 () (forall @t694 @t693)) % 43.64/44.02 (define @t696 () (@quantifiers_skolemize @t695 0)) % 43.64/44.02 (define @t697 () (tptp.the_InternalRel @t696)) % 43.64/44.02 (define @t698 () (@quantifiers_skolemize @t695 1)) % 43.64/44.02 (define @t699 () (tptp.the_InternalRel @t698)) % 43.64/44.02 (define @t700 () (@var "BOUND_VARIABLE_12969" $$unsorted)) % 43.64/44.02 (define @t701 () (= (tptp.subrelstr @t700 @t1) (and (tptp.subset (tptp.the_carrier @t700) @t3) (tptp.subset (tptp.the_InternalRel @t700) @t2)))) % 43.64/44.02 (define @t702 () (not (tptp.rel_str @t700))) % 43.64/44.02 (define @t703 () (or @t702 @t701)) % 43.64/44.02 (define @t704 () (or @t692 @t703)) % 43.64/44.02 (define @t705 () (forall (@list @t1 @t700) @t704)) % 43.64/44.02 (define @t706 () (@list @t700)) % 43.64/44.02 (define @t707 () (forall @t706 @t704)) % 43.64/44.02 (define @t708 () (forall @t706 @t703)) % 43.64/44.02 (define @t709 () (@list @t11)) % 43.64/44.02 (define @t710 () (or @t692 @t708)) % 43.64/44.02 (define @t711 () (forall @t20 (or (not @t174) @t173))) % 43.64/44.02 (define @t712 () (@list @t696 @t698)) % 43.64/44.02 (define @t713 () (@var "BOUND_VARIABLE_15308" $$unsorted)) % 43.64/44.02 (define @t714 () (tptp.rel_str @t713)) % 43.64/44.02 (define @t715 () (not (tptp.subrelstr @t713 @t1))) % 43.64/44.02 (define @t716 () (or @t715 @t714)) % 43.64/44.02 (define @t717 () (or @t692 @t716)) % 43.64/44.02 (define @t718 () (forall (@list @t1 @t713) @t717)) % 43.64/44.02 (define @t719 () (@list @t713)) % 43.64/44.02 (define @t720 () (forall @t719 @t717)) % 43.64/44.02 (define @t721 () (forall @t719 @t716)) % 43.64/44.02 (define @t722 () (or @t692 @t721)) % 43.64/44.02 (define @t723 () (not @t172)) % 43.64/44.02 (define @t724 () (forall @t20 (or @t723 @t174))) % 43.64/44.02 (define @t725 () (or @t691 @t690 @t689 @t688 @t687 @t686 @t684)) % 43.64/44.02 (define @t726 () (or @t692 @t725)) % 43.64/44.02 (define @t727 () (forall @t694 @t726)) % 43.64/44.02 (define @t728 () (@list @t683 @t682 @t681)) % 43.64/44.02 (define @t729 () (forall @t728 @t726)) % 43.64/44.02 (define @t730 () (forall @t728 @t725)) % 43.64/44.02 (define @t731 () (@var "BOUND_VARIABLE_21982" $$unsorted)) % 43.64/44.02 (define @t732 () (@var "BOUND_VARIABLE_21980" $$unsorted)) % 43.64/44.02 (define @t733 () (or @t692 @t730)) % 43.64/44.02 (define @t734 () (not (tptp.related @t11 @t732 @t731))) % 43.64/44.02 (define @t735 () (not (tptp.element @t731 @t171))) % 43.64/44.02 (define @t736 () (tptp.related @t1 @t732 @t731)) % 43.64/44.02 (define @t737 () (not (tptp.element @t731 @t3))) % 43.64/44.02 (define @t738 () (not (tptp.element @t732 @t171))) % 43.64/44.02 (define @t739 () (not (tptp.element @t732 @t3))) % 43.64/44.02 (define @t740 () (or @t723 @t739 @t738 @t737 @t736 @t735 @t734)) % 43.64/44.02 (define @t741 () (@list @t11 @t732 @t731)) % 43.64/44.02 (define @t742 () (forall @t741 @t740)) % 43.64/44.02 (define @t743 () (or @t739 @t738 @t737 @t736 @t735 @t734)) % 43.64/44.02 (define @t744 () (or @t723 @t743)) % 43.64/44.02 (define @t745 () (forall @t741 @t744)) % 43.64/44.02 (define @t746 () (@list @t732 @t731)) % 43.64/44.02 (define @t747 () (forall @t746 @t744)) % 43.64/44.02 (define @t748 () (forall @t746 @t743)) % 43.64/44.02 (define @t749 () (@var "BOUND_VARIABLE_21961" $$unsorted)) % 43.64/44.02 (define @t750 () (or @t723 @t748)) % 43.64/44.02 (define @t751 () (not (tptp.related @t11 @t45 @t749))) % 43.64/44.02 (define @t752 () (not (tptp.element @t749 @t171))) % 43.64/44.02 (define @t753 () (tptp.related @t1 @t45 @t749)) % 43.64/44.02 (define @t754 () (not (tptp.element @t749 @t3))) % 43.64/44.02 (define @t755 () (not @t425)) % 43.64/44.02 (define @t756 () (not @t100)) % 43.64/44.02 (define @t757 () (or @t756 @t755 @t754 @t753 @t752 @t751)) % 43.64/44.02 (define @t758 () (@list @t45 @t749)) % 43.64/44.02 (define @t759 () (forall @t758 @t757)) % 43.64/44.02 (define @t760 () (or @t754 @t753 @t752 @t751)) % 43.64/44.02 (define @t761 () (or @t756 @t755 @t760)) % 43.64/44.02 (define @t762 () (forall @t758 @t761)) % 43.64/44.02 (define @t763 () (@list @t749)) % 43.64/44.02 (define @t764 () (forall @t763 @t761)) % 43.64/44.02 (define @t765 () (forall @t763 @t760)) % 43.64/44.02 (define @t766 () (or @t756 @t755 @t765)) % 43.64/44.02 (define @t767 () (not (tptp.related @t11 @t45 @t115))) % 43.64/44.02 (define @t768 () (not @t337)) % 43.64/44.02 (define @t769 () (not @t129)) % 43.64/44.02 (define @t770 () (or @t769 @t304 @t768 @t767)) % 43.64/44.02 (define @t771 () (forall @t130 @t770)) % 43.64/44.02 (define @t772 () (or @t756 @t755 @t771)) % 43.64/44.02 (define @t773 () (or @t755 @t771)) % 43.64/44.02 (define @t774 () (or @t755 @t770)) % 43.64/44.02 (define @t775 () (or @t769 @t304 @t768 @t755 @t767)) % 43.64/44.02 (define @t776 () (or @t304 @t768 @t755 @t767)) % 43.64/44.02 (define @t777 () (or @t755 @t767)) % 43.64/44.02 (define @t778 () (not (= @t45 @t45))) % 43.64/44.02 (define @t779 () (or @t755 @t778 @t767)) % 43.64/44.02 (define @t780 () (not (tptp.related @t11 @t138 @t115))) % 43.64/44.02 (define @t781 () (not @t537)) % 43.64/44.02 (define @t782 () (not @t650)) % 43.64/44.02 (define @t783 () (or @t781 @t782 @t781 @t780)) % 43.64/44.02 (define @t784 () (or @t782 @t781 @t780)) % 43.64/44.02 (define @t785 () (forall @t148 @t784)) % 43.64/44.02 (define @t786 () (or @t304 @t768 @t785)) % 43.64/44.02 (define @t787 () (or @t304 @t768 @t784)) % 43.64/44.02 (define @t788 () (or @t782 @t781 @t304 @t768 @t780)) % 43.64/44.02 (define @t789 () (or @t781 @t304 @t768 @t780)) % 43.64/44.02 (define @t790 () (or @t768 @t780)) % 43.64/44.02 (define @t791 () (not (= @t115 @t115))) % 43.64/44.02 (define @t792 () (or @t768 @t791 @t780)) % 43.64/44.02 (define @t793 () (not @t644)) % 43.64/44.02 (define @t794 () (not @t527)) % 43.64/44.02 (define @t795 () (not @t647)) % 43.64/44.02 (define @t796 () (or @t794 @t795 @t794 @t793)) % 43.64/44.02 (define @t797 () (or @t795 @t794 @t793)) % 43.64/44.02 (define @t798 () (forall @t309 @t797)) % 43.64/44.02 (define @t799 () (or @t781 @t304 @t798)) % 43.64/44.02 (define @t800 () (or @t781 @t304 @t797)) % 43.64/44.02 (define @t801 () (or @t795 @t781 @t794 @t793 @t304)) % 43.64/44.02 (define @t802 () (or @t781 @t794 @t793 @t304)) % 43.64/44.02 (define @t803 () (or @t781 @t794 @t793)) % 43.64/44.02 (define @t804 () (and @t537 @t527 @t644)) % 43.64/44.02 (define @t805 () (=> @t804 @t304)) % 43.64/44.02 (define @t806 () (tptp.subrelstr @t698 @t696)) % 43.64/44.02 (define @t807 () (@quantifiers_skolemize @t695 3)) % 43.64/44.02 (define @t808 () (@quantifiers_skolemize @t695 2)) % 43.64/44.02 (define @t809 () (tptp.related @t698 @t808 @t807)) % 43.64/44.02 (define @t810 () (not @t809)) % 43.64/44.02 (define @t811 () (tptp.the_carrier @t698)) % 43.64/44.02 (define @t812 () (tptp.element @t807 @t811)) % 43.64/44.02 (define @t813 () (not @t812)) % 43.64/44.02 (define @t814 () (tptp.related @t696 @t808 @t807)) % 43.64/44.02 (define @t815 () (tptp.the_carrier @t696)) % 43.64/44.02 (define @t816 () (tptp.element @t807 @t815)) % 43.64/44.02 (define @t817 () (not @t816)) % 43.64/44.02 (define @t818 () (tptp.element @t808 @t811)) % 43.64/44.02 (define @t819 () (not @t818)) % 43.64/44.02 (define @t820 () (tptp.element @t808 @t815)) % 43.64/44.02 (define @t821 () (not @t820)) % 43.64/44.02 (define @t822 () (not @t806)) % 43.64/44.02 (define @t823 () (tptp.rel_str @t696)) % 43.64/44.02 (define @t824 () (not @t823)) % 43.64/44.02 (define @t825 () (or @t824 @t822 @t821 @t819 @t817 @t814 @t813 @t810)) % 43.64/44.02 (define @t826 () (@list true)) % 43.64/44.02 (define @t827 () (@list @t825)) % 43.64/44.02 (define @t828 () (tptp.rel_str @t698)) % 43.64/44.02 (define @t829 () (or @t824 @t822 @t828)) % 43.64/44.02 (define @t830 () (@list false false false)) % 43.64/44.02 (define @t831 () (tptp.subset @t699 @t697)) % 43.64/44.02 (define @t832 () (and (tptp.subset @t811 @t815) @t831)) % 43.64/44.02 (define @t833 () (= @t806 @t832)) % 43.64/44.02 (define @t834 () (not @t828)) % 43.64/44.02 (define @t835 () (or @t824 @t834 @t833)) % 43.64/44.02 (define @t836 () (@list false false)) % 43.64/44.02 (define @t837 () (tptp.element @t699 (tptp.powerset @t697))) % 43.64/44.02 (define @t838 () (= @t831 @t837)) % 43.64/44.02 (define @t839 () (@var "BOUND_VARIABLE_15015" $$unsorted)) % 43.64/44.02 (define @t840 () (@var "BOUND_VARIABLE_15013" $$unsorted)) % 43.64/44.02 (define @t841 () (= (tptp.related @t1 @t840 @t839) (tptp.in (tptp.ordered_pair @t840 @t839) @t2))) % 43.64/44.02 (define @t842 () (not (tptp.element @t839 @t3))) % 43.64/44.02 (define @t843 () (not (tptp.element @t840 @t3))) % 43.64/44.02 (define @t844 () (or @t843 @t842 @t841)) % 43.64/44.02 (define @t845 () (or @t692 @t844)) % 43.64/44.02 (define @t846 () (forall (@list @t1 @t840 @t839) @t845)) % 43.64/44.02 (define @t847 () (@list @t840 @t839)) % 43.64/44.02 (define @t848 () (forall @t847 @t845)) % 43.64/44.02 (define @t849 () (forall @t847 @t844)) % 43.64/44.02 (define @t850 () (@var "BOUND_VARIABLE_14995" $$unsorted)) % 43.64/44.02 (define @t851 () (or @t692 @t849)) % 43.64/44.02 (define @t852 () (= (tptp.related @t1 @t11 @t850) (tptp.in (tptp.ordered_pair @t11 @t850) @t2))) % 43.64/44.02 (define @t853 () (not (tptp.element @t850 @t3))) % 43.64/44.02 (define @t854 () (not @t101)) % 43.64/44.02 (define @t855 () (or @t854 @t853 @t852)) % 43.64/44.02 (define @t856 () (@list @t11 @t850)) % 43.64/44.02 (define @t857 () (forall @t856 @t855)) % 43.64/44.02 (define @t858 () (or @t853 @t852)) % 43.64/44.02 (define @t859 () (or @t854 @t858)) % 43.64/44.02 (define @t860 () (forall @t856 @t859)) % 43.64/44.02 (define @t861 () (@list @t850)) % 43.64/44.02 (define @t862 () (forall @t861 @t859)) % 43.64/44.02 (define @t863 () (forall @t861 @t858)) % 43.64/44.02 (define @t864 () (or @t854 @t863)) % 43.64/44.02 (define @t865 () (forall @t90 (or @t756 @t318))) % 43.64/44.02 (define @t866 () (tptp.ordered_pair @t808 @t807)) % 43.64/44.02 (define @t867 () (tptp.in @t866 @t699)) % 43.64/44.02 (define @t868 () (= @t809 @t867)) % 43.64/44.02 (define @t869 () (or @t834 @t819 @t813 @t868)) % 43.64/44.02 (define @t870 () (@list false false false false)) % 43.64/44.02 (define @t871 () (tptp.in @t866 @t697)) % 43.64/44.02 (define @t872 () (= @t814 @t871)) % 43.64/44.02 (define @t873 () (or @t824 @t821 @t817 @t872)) % 43.64/44.02 (define @t874 () (not @t871)) % 43.64/44.02 (define @t875 () (@list true false)) % 43.64/44.02 (define @t876 () (not @t867)) % 43.64/44.02 (define @t877 () (not @t837)) % 43.64/44.02 (define @t878 () (or @t877 @t876 @t871)) % 43.64/44.02 (define @t879 () (not @t878)) % 43.64/44.02 (define @t880 () (forall @t673 @t670)) % 43.64/44.02 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 43.64/44.02 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 43.64/44.02 (assume @p3 (forall @t15 (=> @t14 @t13))) % 43.64/44.02 (assume @p4 (forall @t15 (=> @t17 (not @t16)))) % 43.64/44.02 (assume @p5 (forall @t6 (=> @t21 (forall @t20 (=> @t19 @t18))))) % 43.64/44.02 (assume @p6 (forall @t6 (=> @t23 (forall @t20 (=> @t19 (and @t18 @t22)))))) % 43.64/44.02 (assume @p7 (forall @t6 (=> @t25 (forall @t20 (=> @t19 (and @t18 @t22 @t24)))))) % 43.64/44.02 (assume @p8 (forall @t6 (=> @t27 (forall @t20 (=> @t19 (and @t18 @t22 @t26 @t24)))))) % 43.64/44.02 (assume @p9 (forall @t6 (=> @t29 (forall @t20 (=> @t19 (and @t18 @t28 @t22 @t26 @t24)))))) % 43.64/44.02 (assume @p10 (forall @t6 (=> @t30 (and @t21 @t23 @t25 @t27 @t29)))) % 43.64/44.02 (assume @p11 (forall @t6 (=> @t21 (forall @t20 (=> @t33 @t31))))) % 43.64/44.02 (assume @p12 (forall @t6 (=> @t23 (forall @t20 (=> @t33 (and @t31 @t34)))))) % 43.64/44.02 (assume @p13 (forall @t6 (=> @t25 (forall @t20 (=> @t33 (and @t31 @t34 @t35)))))) % 43.64/44.02 (assume @p14 (forall @t6 (=> @t27 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36)))))) % 43.64/44.02 (assume @p15 (forall @t6 (=> @t40 (forall @t20 (=> @t19 (and @t39 @t38 @t37)))))) % 43.64/44.02 (assume @p16 (forall @t6 (=> @t30 @t41))) % 43.64/44.02 (assume @p17 (forall @t6 (=> @t43 @t42))) % 43.64/44.02 (assume @p18 (forall @t6 (=> @t30 @t44))) % 43.64/44.02 (assume @p19 (forall @t51 (=> @t50 (=> (and @t47 @t49) @t48)))) % 43.64/44.02 (assume @p20 (forall @t6 (=> @t10 (=> @t62 @t60)))) % 43.64/44.02 (assume @p21 (forall @t6 (=> @t29 @t27))) % 43.64/44.02 (assume @p22 (forall @t6 (=> @t40 @t65))) % 43.64/44.02 (assume @p23 (forall @t6 (=> (and @t67 (tptp.symmetric @t1) @t68) (and @t67 @t66)))) % 43.64/44.02 (assume @p24 (forall @t6 (=> @t30 @t67))) % 43.64/44.02 (assume @p25 (forall @t51 (=> @t71 @t69))) % 43.64/44.02 (assume @p26 (forall @t6 (=> @t29 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36 (tptp.v5_membered @t11))))))) % 43.64/44.02 (assume @p27 (forall @t6 (=> (and @t30 @t40) @t73))) % 43.64/44.02 (assume @p28 (forall @t6 (=> @t41 (forall @t20 (=> @t33 @t74))))) % 43.64/44.02 (assume @p29 (forall @t6 (=> @t42 @t43))) % 43.64/44.02 (assume @p30 (forall @t6 (=> @t77 @t76))) % 43.64/44.02 (assume @p31 (forall @t51 (=> @t50 (=> @t80 @t79)))) % 43.64/44.02 (assume @p32 (forall @t6 (=> @t10 (=> @t60 @t62)))) % 43.64/44.02 (assume @p33 (forall @t6 (=> @t27 @t25))) % 43.64/44.02 (assume @p34 (forall @t6 (=> @t65 @t40))) % 43.64/44.02 (assume @p35 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t73))) % 43.64/44.02 (assume @p36 (forall @t51 (=> @t50 (=> @t79 @t80)))) % 43.64/44.02 (assume @p37 (forall @t6 (=> @t25 @t23))) % 43.64/44.02 (assume @p38 (forall @t6 (=> @t30 @t81))) % 43.64/44.02 (assume @p39 (forall @t15 (=> @t89 (=> (and @t86 @t88 @t87 @t84) (and @t86 @t85 @t84 @t83 @t82))))) % 43.64/44.02 (assume @p40 (forall @t6 (=> @t23 @t21))) % 43.64/44.02 (assume @p41 (forall @t15 (=> @t92 (forall @t90 (=> @t50 (=> @t48 (and @t47 @t49 @t46))))))) % 43.64/44.02 (assume @p42 (forall @t15 (=> @t95 (forall @t90 (=> @t50 (=> @t48 (and @t47 (not @t93) @t49 @t46))))))) % 43.64/44.02 (assume @p43 (forall @t15 (= @t96 (tptp.unordered_pair @t11 @t1)))) % 43.64/44.02 (assume @p44 (forall @t15 (= @t98 @t97))) % 43.64/44.02 (assume @p45 (forall @t51 (=> @t103 (= @t99 (tptp.join_commut @t1 @t45 @t11))))) % 43.64/44.02 (assume @p46 (forall @t15 (= @t105 @t104))) % 43.64/44.02 (assume @p47 (forall @t51 (=> @t108 (= @t106 (tptp.meet_commut @t1 @t45 @t11))))) % 43.64/44.02 (assume @p48 (forall @t51 (=> @t111 (= @t109 (tptp.subset_union2 @t1 @t45 @t11))))) % 43.64/44.02 (assume @p49 (forall @t51 (=> @t111 (= @t112 (tptp.subset_intersection2 @t1 @t45 @t11))))) % 43.64/44.02 (assume @p50 (forall @t15 (=> @t114 (or @t113 (tptp.ordinal_subset @t11 @t1))))) % 43.64/44.02 (assume @p51 (forall @t15 (=> @t123 (= @t122 (forall @t120 (= @t119 (and @t117 @t116))))))) % 43.64/44.02 (assume @p52 (forall @t15 (= @t126 (and @t125 @t124)))) % 43.64/44.02 (assume @p53 (forall @t6 (=> @t5 (forall @t135 (=> @t100 (=> @t134 (= (= @t45 @t133) (and @t132 @t131)))))))) % 43.64/44.02 (assume @p54 (forall @t6 (=> @t137 (= @t136 (tptp.identity_as_relation_of @t3))))) % 43.64/44.02 (assume @p55 (forall @t6 (=> @t67 (forall @t135 (=> @t69 (= (= @t45 @t144) (forall @t143 (= @t142 (and @t141 @t140))))))))) % 43.64/44.02 (assume @p56 (forall @t6 (=> @t5 (= @t145 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 43.64/44.02 (assume @p57 (forall @t6 (=> @t152 (forall @t135 (= @t151 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t138 @t147) @t146 (= @t115 (tptp.apply @t1 @t138))))))))))) % 43.64/44.02 (assume @p58 (forall @t15 (=> @t123 (forall @t90 (=> @t69 (= (= @t45 @t154) (forall @t143 (= @t142 (and @t153 (tptp.in @t139 @t11)))))))))) % 43.64/44.02 (assume @p59 (forall @t6 (=> @t67 (= @t156 (tptp.is_antisymmetric_in @t1 @t155))))) % 43.64/44.02 (assume @p60 (forall @t6 (=> @t152 (forall @t135 (= @t159 (forall @t130 (= @t149 (and @t158 (tptp.in @t157 @t11))))))))) % 43.64/44.02 (assume @p61 (forall @t6 (=> @t163 (= @t162 (exists @t20 (and @t101 @t161)))))) % 43.64/44.02 (assume @p62 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (forall @t90 (=> @t167 (= (= @t45 @t166) (forall @t130 (=> (tptp.in @t115 @t3) (= @t149 (forall @t148 (=> @t165 (not (and (tptp.open_subset @t138 @t1) (tptp.in @t115 @t138) (tptp.disjoint @t11 @t138)))))))))))))))) % 43.64/44.02 (assume @p63 (forall @t6 (=> @t67 (forall @t135 (= @t151 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t170 @t1) @t146))))))))) % 43.64/44.02 (assume @p64 @t177) % 43.64/44.02 (assume @p65 (forall @t6 (=> @t67 (forall @t135 (= @t159 (forall @t130 (= @t149 (exists @t148 (and @t140 @t146))))))))) % 43.64/44.02 (assume @p66 (forall @t6 (=> @t67 (= @t178 (tptp.is_connected_in @t1 @t155))))) % 43.64/44.02 (assume @p67 (forall @t6 (=> @t180 (forall @t20 (=> @t101 (forall @t90 (= @t179 (forall @t130 (=> @t129 (=> @t149 (tptp.below @t1 @t11 @t115))))))))))) % 43.64/44.02 (assume @p68 (forall @t6 (=> @t163 (=> @t162 (forall @t20 (=> @t101 (= (= @t11 @t181) @t161))))))) % 43.64/44.02 (assume @p69 (forall @t6 (=> @t67 (= @t68 (tptp.is_transitive_in @t1 @t155))))) % 43.64/44.02 (assume @p70 (forall @t6 (=> @t180 (forall @t20 (=> @t101 (forall @t90 (= (tptp.latt_element_smaller @t1 @t11 @t45) (forall @t130 (=> @t129 (=> @t149 (tptp.below @t1 @t115 @t11))))))))))) % 43.64/44.02 (assume @p71 (forall @t6 (=> @t152 (forall @t135 (= (tptp.apply_binary @t1 @t11 @t45) (tptp.apply @t1 @t182)))))) % 43.64/44.02 (assume @p72 (forall @t6 (=> @t186 (forall @t20 (=> @t101 (forall @t90 (=> @t167 (= @t184 (tptp.in @t11 @t183))))))))) % 43.64/44.02 (assume @p73 (forall @t190 (= (= @t115 (tptp.unordered_triple @t1 @t11 @t45)) (forall @t148 (= @t189 (not (and (not (= @t138 @t1)) (not (= @t138 @t11)) @t188))))))) % 43.64/44.02 (assume @p74 (forall @t6 (= @t41 (exists @t20 (and @t123 @t86 (= @t192 @t1) (tptp.in @t191 tptp.omega)))))) % 43.64/44.02 (assume @p75 (forall @t6 (= @t44 (forall @t195 (=> (and @t194 @t193) @t116))))) % 43.64/44.02 (assume @p76 (forall @t51 (=> @t200 (and (=> (=> @t198 @t197) (= @t46 (= @t1 @t199))) (=> @t198 (or @t197 (= @t46 @t196))))))) % 43.64/44.02 (assume @p77 (forall @t15 (=> (and (tptp.strict_latt_str @t11) @t203) (= (= @t11 @t202) (and (= @t171 @t32) (forall @t90 (=> @t110 (forall @t130 (=> @t201 (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)))))))))))) % 43.64/44.02 (assume @p78 (forall @t6 (=> @t205 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t204 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t45))))))))) % 43.64/44.02 (assume @p79 (forall @t6 (=> @t208 (forall @t20 (= (= @t11 (tptp.pair_first @t1)) (forall @t120 (=> @t207 @t206))))))) % 43.64/44.02 (assume @p80 (forall @t6 (= @t210 (tptp.set_union2 @t1 @t209)))) % 43.64/44.02 (assume @p81 (forall @t6 (=> @t169 (= @t185 (and (tptp.in @t3 @t211) (forall @t20 (=> @t215 (=> (tptp.subset @t11 @t211) (tptp.in @t213 @t211)))) (forall @t20 (=> @t168 (forall @t90 (=> @t167 (=> (and @t212 (tptp.in @t45 @t211)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t45) @t211))))))))))) % 43.64/44.02 (assume @p82 (forall @t6 (= @t67 (forall @t20 (not (and @t12 (forall @t120 (not (= @t11 @t118))))))))) % 43.64/44.02 (assume @p83 (forall @t6 (=> @t67 (forall @t20 (= @t217 (forall @t90 (=> @t216 (tptp.in (tptp.ordered_pair @t45 @t45) @t1)))))))) % 43.64/44.02 (assume @p84 (forall @t51 (= @t50 (tptp.subset @t45 @t70)))) % 43.64/44.02 (assume @p85 (forall @t15 (and (=> @t221 (= @t218 (forall @t90 (= @t216 (forall @t130 (=> @t220 @t219)))))) (=> @t197 (= @t218 @t198))))) % 43.64/44.02 (assume @p86 (forall @t6 (=> @t137 (= @t58 @t222)))) % 43.64/44.02 (assume @p87 (forall @t15 (= (= @t11 @t209) (forall @t90 (= @t216 (= @t45 @t1)))))) % 43.64/44.02 (assume @p88 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t224 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t223)))))))) % 43.64/44.02 (assume @p89 (forall @t6 (=> @t169 (forall @t20 (=> @t215 (= @t226 (forall @t90 (=> @t167 (=> @t216 @t225))))))))) % 43.64/44.02 (assume @p90 (forall @t6 (=> @t67 (forall @t135 (= (= @t45 (tptp.fiber @t1 @t11)) (forall @t130 (= @t149 (and (not @t227) (tptp.in (tptp.ordered_pair @t115 @t11) @t1))))))))) % 43.64/44.02 (assume @p91 (forall @t15 (=> @t123 (= (= @t11 @t230) (and (= @t229 @t1) (forall @t120 (=> (and @t117 @t220) (= @t119 @t228)))))))) % 43.64/44.02 (assume @p92 (forall @t6 (= @t197 (forall @t20 @t13)))) % 43.64/44.02 (assume @p93 (forall @t15 (= (= @t11 @t32) (forall @t90 (= @t216 (tptp.subset @t45 @t1)))))) % 43.64/44.02 (assume @p94 (forall @t6 (=> @t180 (=> @t232 (forall @t135 (=> @t100 (= (= @t45 @t231) (and (tptp.latt_element_smaller @t1 @t45 @t11) (forall @t130 (=> @t129 (=> (tptp.latt_element_smaller @t1 @t115 @t11) (tptp.below @t1 @t45 @t115)))))))))))) % 43.64/44.02 (assume @p95 (forall @t6 (=> @t180 (forall @t20 (= @t233 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 43.64/44.02 (assume @p96 (forall @t6 (= (tptp.centered @t1) (and @t221 (forall @t20 (not (and @t235 @t124 @t74 (= @t234 tptp.empty_set)))))))) % 43.64/44.02 (assume @p97 (forall @t6 (=> @t238 (= @t237 (tptp.rel_str_of @t3 @t236))))) % 43.64/44.02 (assume @p98 (forall @t6 (=> @t163 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t160 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t45))))))))) % 43.64/44.02 (assume @p99 (forall @t6 (=> @t208 (forall @t20 (= (= @t11 (tptp.pair_second @t1)) (forall @t120 (=> @t207 @t239))))))) % 43.64/44.02 (assume @p100 (forall @t6 (= @t64 (forall @t20 (=> @t12 @t124))))) % 43.64/44.02 (assume @p101 (forall @t6 (=> @t137 (= @t240 tptp.empty_set)))) % 43.64/44.02 (assume @p102 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t126 (forall @t120 (= @t241 @t119)))))))) % 43.64/44.02 (assume @p103 (forall @t15 (and (=> @t94 (= @t19 @t12)) (=> @t30 (= @t19 @t91))))) % 43.64/44.02 (assume @p104 (forall @t51 (= (= @t45 @t96) (forall @t130 (= @t149 (or (= @t115 @t1) @t227)))))) % 43.64/44.02 (assume @p105 (forall @t15 (=> @t19 (= (tptp.proper_element @t11 @t1) (not @t243))))) % 43.64/44.02 (assume @p106 (forall @t6 (=> @t169 (forall @t20 (=> @t215 (= @t245 @t244)))))) % 43.64/44.02 (assume @p107 (forall @t6 (=> @t67 (= @t246 (forall @t20 (not (and (tptp.subset @t11 @t155) @t235 (forall @t90 (not (and @t216 (tptp.disjoint (tptp.fiber @t1 @t45) @t11))))))))))) % 43.64/44.02 (assume @p108 (forall @t51 (= (= @t45 @t98) (forall @t130 (= @t149 (or @t220 @t141)))))) % 43.64/44.02 (assume @p109 (forall @t51 (= (= @t45 @t70) (forall @t130 (= @t149 (exists @t250 (and @t153 @t249 (= @t115 @t248)))))))) % 43.64/44.02 (assume @p110 (forall @t6 (=> @t169 (= @t254 (forall @t20 (=> @t215 (not (and @t253 @t226 (forall @t90 (=> @t252 (not (and @t251 (tptp.is_a_cover_of_carrier @t1 @t45) (tptp.finite @t45))))))))))))) % 43.64/44.02 (assume @p111 (forall @t6 (=> @t238 (forall @t20 (=> @t101 (= @t255 @t11)))))) % 43.64/44.02 (assume @p112 (forall @t6 (=> @t205 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t256 (= @t204 @t45))))))))) % 43.64/44.02 (assume @p113 (forall @t6 (= @t63 (forall @t135 (not (and @t12 @t117 (not @t259) @t258 @t257)))))) % 43.64/44.02 (assume @p114 (forall @t6 (=> @t137 (= @t260 @t3)))) % 43.64/44.02 (assume @p115 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t125 (forall @t120 (=> @t241 @t119)))))))) % 43.64/44.02 (assume @p116 (forall @t15 (= @t125 @t261))) % 43.64/44.02 (assume @p117 (forall @t6 (=> @t67 (forall @t20 (= @t263 (forall @t90 (not (and @t251 @t262 (forall @t130 (not (and @t149 (tptp.disjoint (tptp.fiber @t1 @t115) @t45)))))))))))) % 43.64/44.02 (assume @p118 (forall @t51 (= (= @t45 @t105) (forall @t130 (= @t149 (and @t220 @t141)))))) % 43.64/44.02 (assume @p119 (forall @t6 (=> @t152 (forall @t135 (and (=> @t266 (= @t265 @t194)) (=> (not @t266) (= @t265 @t196))))))) % 43.64/44.02 (assume @p120 (forall @t6 (=> @t238 (forall @t20 (=> @t269 (= @t267 @t11)))))) % 43.64/44.02 (assume @p121 (forall @t6 (= @t40 @t65))) % 43.64/44.02 (assume @p122 (forall @t6 (=> @t67 (forall @t20 (= (= @t11 @t147) (forall @t90 (= @t216 (exists @t130 @t241)))))))) % 43.64/44.02 (assume @p123 (forall @t6 (=> @t67 (forall @t20 (= @t271 (forall @t120 (=> (and @t216 @t141 @t241 @t270) @t116))))))) % 43.64/44.02 (assume @p124 (forall @t6 (= @t272 @t1))) % 43.64/44.02 (assume @p125 (forall @t15 (= @t243 (forall @t90 (= @t216 (exists @t130 (and @t219 @t220))))))) % 43.64/44.02 (assume @p126 (forall @t6 (=> @t67 (= @t273 (and @t66 @t68 @t156 @t178 @t246))))) % 43.64/44.02 (assume @p127 (forall @t15 (= @t277 (exists @t90 (and @t69 @t47 @t78 @t276 (= @t274 @t11)))))) % 43.64/44.02 (assume @p128 (forall @t51 (= (= @t45 @t278) (forall @t130 (= @t149 (and @t220 (not @t141))))))) % 43.64/44.02 (assume @p129 (forall @t6 (=> @t5 (= @t279 (exists @t20 (and @t101 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 43.64/44.02 (assume @p130 (forall @t6 (=> @t152 (forall @t20 (= @t282 (forall @t90 (= @t216 (exists @t130 @t280)))))))) % 43.64/44.02 (assume @p131 (forall @t6 (=> @t5 (= @t283 (tptp.is_transitive_in @t2 @t3))))) % 43.64/44.02 (assume @p132 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t284 @t40 (forall @t20 (=> @t37 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t125))))))) % 43.64/44.02 (assume @p133 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t285 @t212)))))) % 43.64/44.02 (assume @p134 (forall @t6 (=> @t67 (forall @t20 (= @t282 (forall @t90 (= @t216 (exists @t130 @t270)))))))) % 43.64/44.02 (assume @p135 (forall @t15 (=> @t33 (= @t286 @t278)))) % 43.64/44.02 (assume @p136 (forall @t15 (= @t287 (tptp.unordered_pair @t96 @t209)))) % 43.64/44.02 (assume @p137 (forall @t6 (=> @t67 (forall @t20 (= (tptp.well_orders @t1 @t11) (and @t217 @t289 @t271 @t288 @t263)))))) % 43.64/44.02 (assume @p138 (forall @t6 (=> @t5 (= @t290 (tptp.is_antisymmetric_in @t2 @t3))))) % 43.64/44.02 (assume @p139 (forall @t6 (= @t284 (= @t1 @t242)))) % 43.64/44.02 (assume @p140 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t292 (tptp.open_subset @t291 @t1))))))) % 43.64/44.02 (assume @p141 (forall @t6 (=> @t67 (= @t155 (tptp.set_union2 @t147 @t281))))) % 43.64/44.02 (assume @p142 (forall @t6 (=> @t67 (forall @t20 (= @t288 (forall @t120 (not (and @t216 @t141 (not @t116) (not @t241) (not @t270))))))))) % 43.64/44.02 (assume @p143 (forall @t6 (=> @t67 (forall @t20 (= @t294 (tptp.set_intersection2 @t1 @t293)))))) % 43.64/44.02 (assume @p144 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= (= @t11 @t295) (forall @t120 (= @t119 @t270)))))))) % 43.64/44.02 (assume @p145 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t299 (= @t298 (and (= @t275 @t155) (= @t274 @t229) @t78 (forall @t143 (= @t140 (and (tptp.in @t115 @t155) (tptp.in @t138 @t155) (tptp.in (tptp.ordered_pair @t297 @t296) @t11))))))))))))) % 43.64/44.02 (assume @p146 (forall @t15 (= @t300 (= @t105 tptp.empty_set)))) % 43.64/44.02 (assume @p147 (forall @t6 (=> @t5 (forall @t20 (= @t307 (exists @t90 (and @t100 @t306 @t305 (forall @t130 (=> @t129 (=> (and @t303 (forall @t148 (=> @t302 (=> (tptp.relstr_set_smaller @t1 @t11 @t138) (tptp.related @t1 @t115 @t138))))) @t301)))))))))) % 43.64/44.02 (assume @p148 (forall @t6 (=> @t238 (= @t308 (tptp.a_1_0_filter_1 @t1))))) % 43.64/44.02 (assume @p149 (forall @t6 (=> @t152 (= @t75 (forall @t135 (=> (and @t266 (tptp.in @t45 @t147) (= @t264 (tptp.apply @t1 @t45))) @t206)))))) % 43.64/44.02 (assume @p150 (forall @t6 (=> @t5 (forall @t135 (=> @t100 (= @t132 (forall @t130 (=> @t129 (=> @t141 @t304))))))))) % 43.64/44.02 (assume @p151 (forall @t6 (=> @t180 (= @t53 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= (tptp.join @t1 @t160 @t45) @t45))))))))) % 43.64/44.02 (assume @p152 (forall @t6 (=> @t137 (forall @t20 (=> @t215 (= @t253 (= @t260 @t213))))))) % 43.64/44.02 (assume @p153 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t69 (= (= @t45 @t310) (forall @t143 (= @t142 (exists @t309 (and (tptp.in (tptp.ordered_pair @t115 @t247) @t1) (tptp.in (tptp.ordered_pair @t247 @t138) @t11))))))))))))) % 43.64/44.02 (assume @p154 (forall @t6 (=> @t67 (forall @t20 (= @t289 (forall @t311 (=> (and @t216 @t141 @t146 @t241 @t140) (tptp.in (tptp.ordered_pair @t45 @t138) @t1)))))))) % 43.64/44.02 (assume @p155 (forall @t15 (=> @t314 (forall @t90 (=> (tptp.element @t45 @t313) (= (= @t45 @t312) (forall @t130 (=> @t201 (= @t149 (tptp.in (tptp.subset_complement @t1 @t115) @t11)))))))))) % 43.64/44.02 (assume @p156 (forall @t15 (= @t17 (and @t125 @t315)))) % 43.64/44.02 (assume @p157 (forall @t6 (=> @t5 (forall @t20 (= @t134 (exists @t90 (and @t100 @t132 @t131 (forall @t130 (=> @t129 (=> (and @t128 (forall @t148 (=> @t302 (=> (tptp.relstr_element_smaller @t1 @t11 @t138) (tptp.related @t1 @t138 @t115))))) @t301)))))))))) % 43.64/44.02 (assume @p158 (forall @t6 (=> @t152 (=> @t75 (= @t316 @t295))))) % 43.64/44.02 (assume @p159 (forall @t6 (=> @t5 (forall @t135 (=> @t100 (= @t306 (forall @t130 (=> @t129 (=> @t141 @t127))))))))) % 43.64/44.02 (assume @p160 @t323) % 43.64/44.02 (assume @p161 (forall @t6 (=> @t67 (= @t66 (tptp.is_reflexive_in @t1 @t155))))) % 43.64/44.02 (assume @p162 (forall @t6 (=> @t5 (forall @t135 (=> @t100 (=> @t307 (= (= @t45 @t324) (and @t306 @t305)))))))) % 43.64/44.02 (assume @p163 (forall @t15 (=> @t89 (and @t326 (tptp.rel_str @t325))))) % 43.64/44.02 (assume @p164 (forall @t51 (=> @t334 (and @t328 (tptp.latt_str @t327))))) % 43.64/44.02 (assume @p165 (forall @t190 (=> @t340 (tptp.element @t336 (tptp.the_carrier @t335))))) % 43.64/44.02 (assume @p166 true) % 43.64/44.02 (assume @p167 (forall @t15 (=> @t180 (tptp.element @t231 @t3)))) % 43.64/44.02 (assume @p168 (forall @t15 (=> @t180 (tptp.element @t233 @t3)))) % 43.64/44.02 (assume @p169 (forall @t190 (=> @t343 (tptp.element @t341 @t70)))) % 43.64/44.02 (assume @p170 (forall @t6 (and @t344 (tptp.latt_str @t202)))) % 43.64/44.02 (assume @p171 (forall @t51 (=> (and @t59 @t102 @t101 @t100) (tptp.element @t204 @t3)))) % 43.64/44.02 (assume @p172 (forall @t6 (tptp.element @t345 @t313))) % 43.64/44.02 (assume @p173 (forall @t6 (=> @t137 (tptp.element @t240 @t164)))) % 43.64/44.02 (assume @p174 (forall @t15 (=> @t346 (tptp.element @t224 @t164)))) % 43.64/44.02 (assume @p175 (forall @t6 (tptp.relation @t230))) % 43.64/44.02 (assume @p176 (forall @t15 (=> @t5 (tptp.element @t324 @t3)))) % 43.64/44.02 (assume @p177 (forall @t350 (=> @t349 (tptp.element @t347 @t45)))) % 43.64/44.02 (assume @p178 (forall @t6 (=> @t152 (and (tptp.relation @t316) (tptp.function @t316))))) % 43.64/44.02 (assume @p179 (forall @t6 (=> @t238 (and (tptp.reflexive @t236) (tptp.antisymmetric @t236) (tptp.transitive @t236) (tptp.v1_partfun1 @t236 @t3 @t3) (tptp.relation_of2_as_subset @t236 @t3 @t3))))) % 43.64/44.02 (assume @p180 (forall @t51 (=> (and @t59 @t107 @t101 @t100) (tptp.element @t160 @t3)))) % 43.64/44.02 (assume @p181 (forall @t6 (=> @t137 (tptp.element @t260 @t164)))) % 43.64/44.02 (assume @p182 (forall @t6 (tptp.element @t272 @t32))) % 43.64/44.02 (assume @p183 (forall @t15 (=> @t67 (tptp.relation @t294)))) % 43.64/44.02 (assume @p184 (forall @t15 (=> @t5 (tptp.element @t133 @t3)))) % 43.64/44.02 (assume @p185 (forall @t6 (=> @t238 (and @t354 @t353 @t352 @t351 (tptp.rel_str @t237))))) % 43.64/44.02 (assume @p186 (forall @t51 (=> @t103 (tptp.element @t99 @t3)))) % 43.64/44.02 (assume @p187 (forall @t15 (=> @t33 (tptp.element @t286 @t32)))) % 43.64/44.02 (assume @p188 (forall @t6 (=> @t5 (tptp.element @t145 @t3)))) % 43.64/44.02 (assume @p189 (forall @t15 (=> (and @t59 @t61 @t10 @t101) (tptp.element @t255 @t268)))) % 43.64/44.02 (assume @p190 (forall @t51 (=> @t108 (tptp.element @t106 @t3)))) % 43.64/44.02 (assume @p191 (forall @t6 (=> @t67 @t355))) % 43.64/44.02 (assume @p192 (forall @t51 (=> @t50 (tptp.element @t199 @t32)))) % 43.64/44.02 (assume @p193 (forall @t51 (=> @t111 (tptp.element @t109 @t32)))) % 43.64/44.02 (assume @p194 (forall @t15 (=> (and @t59 @t61 @t10 @t269) (tptp.element @t267 @t3)))) % 43.64/44.02 (assume @p195 (forall @t6 (=> @t163 (tptp.element @t181 @t3)))) % 43.64/44.02 (assume @p196 (forall @t15 (=> @t357 @t356))) % 43.64/44.02 (assume @p197 (forall @t51 (=> @t50 (tptp.element @t359 @t358)))) % 43.64/44.02 (assume @p198 (forall @t15 (=> @t314 (tptp.element @t360 @t32)))) % 43.64/44.02 (assume @p199 (forall @t51 (=> @t111 (tptp.element @t112 @t32)))) % 43.64/44.02 (assume @p200 (forall @t6 (and (tptp.v1_partfun1 @t361 @t1 @t1) (tptp.relation_of2_as_subset @t361 @t1 @t1)))) % 43.64/44.02 (assume @p201 (forall @t15 (=> @t346 (tptp.element @t166 @t164)))) % 43.64/44.02 (assume @p202 (forall @t6 @t362)) % 43.64/44.02 (assume @p203 (forall @t15 (=> @t314 (tptp.element @t363 @t32)))) % 43.64/44.02 (assume @p204 (forall @t51 (=> @t111 (tptp.element @t364 @t32)))) % 43.64/44.02 (assume @p205 (forall @t6 (=> @t137 (and (tptp.function @t136) (tptp.quasi_total @t136 @t3 @t3) (tptp.relation_of2_as_subset @t136 @t3 @t3))))) % 43.64/44.02 (assume @p206 (forall @t15 (=> @t67 @t365))) % 43.64/44.02 (assume @p207 (forall @t15 (=> @t314 (tptp.element @t312 @t313)))) % 43.64/44.02 (assume @p208 (forall @t15 (=> (and @t59 @t10 @t339 @t203) (and (tptp.strict_latt_str @t335) (tptp.latt_str @t335))))) % 43.64/44.02 (assume @p209 (forall @t190 (=> @t367 (tptp.element @t366 @t11)))) % 43.64/44.02 (assume @p210 (forall @t15 (=> @t123 @t368))) % 43.64/44.02 (assume @p211 (forall @t6 (=> @t238 (tptp.relation @t308)))) % 43.64/44.02 (assume @p212 (forall @t6 (=> @t107 @t137))) % 43.64/44.02 (assume @p213 (forall @t6 (=> @t5 @t137))) % 43.64/44.02 (assume @p214 (forall @t6 (=> @t169 @t137))) % 43.64/44.02 (assume @p215 (forall @t6 (=> @t102 @t137))) % 43.64/44.02 (assume @p216 (forall @t6 (=> @t10 (and @t107 @t102)))) % 43.64/44.02 (assume @p217 (forall @t15 (=> @t369 (forall @t90 (=> @t184 @t167))))) % 43.64/44.02 (assume @p218 @t372) % 43.64/44.02 (assume @p219 (forall @t51 (=> @t200 @t71))) % 43.64/44.02 (assume @p220 (forall @t6 (=> @t107 (and @t375 @t374 (tptp.relation_of2_as_subset @t7 @t373 @t3))))) % 43.64/44.02 (assume @p221 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 43.64/44.02 (assume @p222 (forall @t6 (=> @t169 (tptp.element @t211 @t214)))) % 43.64/44.02 (assume @p223 (forall @t6 (=> @t102 (and @t377 @t376 (tptp.relation_of2_as_subset @t8 @t373 @t3))))) % 43.64/44.02 (assume @p224 (exists @t6 @t107)) % 43.64/44.02 (assume @p225 (exists @t6 @t5)) % 43.64/44.02 (assume @p226 (exists @t6 @t169)) % 43.64/44.02 (assume @p227 (exists @t6 @t137)) % 43.64/44.02 (assume @p228 (exists @t6 @t102)) % 43.64/44.02 (assume @p229 (exists @t6 @t10)) % 43.64/44.02 (assume @p230 (forall @t15 (=> @t369 (exists @t90 @t184)))) % 43.64/44.02 (assume @p231 (forall @t15 (exists @t90 @t50))) % 43.64/44.02 (assume @p232 (forall @t6 (exists @t20 @t19))) % 43.64/44.02 (assume @p233 (forall @t6 (=> @t5 (exists @t20 @t172)))) % 43.64/44.02 (assume @p234 (forall @t15 (exists @t90 @t200))) % 43.64/44.02 (assume @p235 (forall @t15 (=> @t74 @t378))) % 43.64/44.02 (assume @p236 (forall @t15 (=> @t380 (and (tptp.empty @t379) (tptp.relation @t379))))) % 43.64/44.02 (assume @p237 (forall @t15 (=> @t41 @t378))) % 43.64/44.02 (assume @p238 (forall @t6 (=> @t30 (and (tptp.empty @t295) @t355)))) % 43.64/44.02 (assume @p239 (forall @t15 (=> @t41 (tptp.finite @t278)))) % 43.64/44.02 (assume @p240 (and @t383 @t382 @t381)) % 43.64/44.02 (assume @p241 (forall @t15 (=> (and @t67 @t44 @t74) (tptp.finite @t150)))) % 43.64/44.02 (assume @p242 (forall @t15 (=> @t385 (and @t365 (tptp.relation_empty_yielding @t144))))) % 43.64/44.02 (assume @p243 (forall @t15 (=> @t386 (tptp.finite @t70)))) % 43.64/44.02 (assume @p244 (forall @t6 (and @t387 (tptp.finite @t209)))) % 43.64/44.02 (assume @p245 (forall @t6 (and @t388 (tptp.cup_closed @t32) (tptp.diff_closed @t32) (tptp.preboolean @t32)))) % 43.64/44.02 (assume @p246 (forall @t15 (=> (and @t67 @t44 @t123 @t86) (and @t356 (tptp.function @t310))))) % 43.64/44.02 (assume @p247 (forall @t6 (and @t389 @t344))) % 43.64/44.02 (assume @p248 (forall @t15 (=> (and @t94 @t89) (and (not (tptp.empty_carrier @t325)) @t326)))) % 43.64/44.02 (assume @p249 (forall @t6 @t390)) % 43.64/44.02 (assume @p250 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 43.64/44.02 (assume @p251 (forall @t6 (=> @t137 (and (tptp.empty @t240) (tptp.v1_membered @t240) (tptp.v2_membered @t240) (tptp.v3_membered @t240) (tptp.v4_membered @t240) (tptp.v5_membered @t240))))) % 43.64/44.02 (assume @p252 (forall @t15 (=> @t357 (tptp.relation @t105)))) % 43.64/44.02 (assume @p253 (forall @t6 (=> @t391 (not @t222)))) % 43.64/44.02 (assume @p254 (forall @t6 @t388)) % 43.64/44.02 (assume @p255 @t383) % 43.64/44.02 (assume @p256 (forall @t15 (not (tptp.empty @t287)))) % 43.64/44.02 (assume @p257 (forall @t15 (=> @t21 @t392))) % 43.64/44.02 (assume @p258 (forall @t15 (=> @t21 @t393))) % 43.64/44.02 (assume @p259 (forall @t15 (=> @t23 (and @t392 @t394)))) % 43.64/44.02 (assume @p260 (forall @t6 (=> (and @t40 @t72) (and @t390 @t397 @t396 @t395 (tptp.natural @t210))))) % 43.64/44.02 (assume @p261 (forall @t6 (and @t362 @t398))) % 43.64/44.02 (assume @p262 (forall @t6 (=> @t401 (and @t400 @t377 @t376 (tptp.v1_binop_1 @t8 @t3) @t399)))) % 43.64/44.02 (assume @p263 (forall @t6 (and @t389 @t344 (tptp.join_commutative @t202) (tptp.join_associative @t202) (tptp.meet_commutative @t202) (tptp.meet_associative @t202) (tptp.meet_absorbing @t202) (tptp.join_absorbing @t202) (tptp.lattice @t202)))) % 43.64/44.02 (assume @p264 (forall @t6 (=> (and @t402 @t283 @t290 @t5) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 43.64/44.02 (assume @p265 (and @t382 @t381 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t383 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 43.64/44.02 (assume @p266 (forall @t6 (and @t362 @t398 (tptp.reflexive @t121) (tptp.symmetric @t121) (tptp.antisymmetric @t121) (tptp.transitive @t121)))) % 43.64/44.02 (assume @p267 (forall @t6 (=> @t391 (not (tptp.empty @t260))))) % 43.64/44.02 (assume @p268 (forall @t15 (=> @t357 (tptp.relation @t98)))) % 43.64/44.02 (assume @p269 (forall @t6 @t387)) % 43.64/44.02 (assume @p270 (forall @t15 (=> @t403 (tptp.closed_subset @t166 @t1)))) % 43.64/44.02 (assume @p271 (forall @t15 (=> @t94 (not (tptp.empty @t98))))) % 43.64/44.02 (assume @p272 (forall @t15 (=> @t23 (and @t393 @t404)))) % 43.64/44.02 (assume @p273 (forall @t15 (=> @t25 (and @t392 @t394 @t405)))) % 43.64/44.02 (assume @p274 (forall @t15 (=> @t25 (and @t393 @t404 @t406)))) % 43.64/44.02 (assume @p275 (forall @t15 (=> @t27 (and @t392 @t394 @t405 @t407)))) % 43.64/44.02 (assume @p276 (forall @t15 (=> @t27 (and @t393 @t404 @t406 @t408)))) % 43.64/44.02 (assume @p277 (forall @t15 (=> @t29 (and @t392 @t394 @t405 @t407 (tptp.v5_membered @t105))))) % 43.64/44.02 (assume @p278 (forall @t15 (=> @t29 (and @t393 @t404 @t406 @t408 (tptp.v5_membered @t104))))) % 43.64/44.02 (assume @p279 (forall @t15 (=> @t21 @t409))) % 43.64/44.02 (assume @p280 (forall @t15 (=> @t23 (and @t409 @t410)))) % 43.64/44.02 (assume @p281 (forall @t15 (=> @t25 (and @t409 @t410 @t411)))) % 43.64/44.02 (assume @p282 (forall @t6 (=> @t76 (and @t355 (tptp.function @t295))))) % 43.64/44.02 (assume @p283 (forall @t6 (=> (and @t59 @t56 @t102) (and @t400 @t377 @t376 (tptp.v2_binop_1 @t8 @t3) @t399)))) % 43.64/44.02 (assume @p284 (forall @t51 (=> (and @t94 @t86 @t333 @t332 @t47 @t331 @t330) (and (not (tptp.empty_carrier @t327)) @t328)))) % 43.64/44.02 (assume @p285 (forall @t15 (=> (and @t87 @t413 @t412 @t88 @t89) (and @t326 (tptp.reflexive_relstr @t325) (tptp.transitive_relstr @t325) (tptp.antisymmetric_relstr @t325))))) % 43.64/44.02 (assume @p286 (forall @t6 (=> @t40 (and @t390 @t397 @t396 @t395)))) % 43.64/44.02 (assume @p287 (forall @t15 (=> @t357 (tptp.relation @t278)))) % 43.64/44.02 (assume @p288 (forall @t15 (not (tptp.empty @t96)))) % 43.64/44.02 (assume @p289 (forall @t15 (=> (and @t185 @t169 @t292 @t168) @t414))) % 43.64/44.02 (assume @p290 (forall @t15 (=> @t94 (not (tptp.empty @t97))))) % 43.64/44.02 (assume @p291 (forall @t15 (=> @t27 (and @t409 @t410 @t411 @t415)))) % 43.64/44.02 (assume @p292 (forall @t15 (=> @t29 (and @t409 @t410 @t411 @t415 (tptp.v5_membered @t278))))) % 43.64/44.02 (assume @p293 (forall @t15 (=> @t152 (and @t365 (tptp.function @t144))))) % 43.64/44.02 (assume @p294 (forall @t6 (=> (and @t59 @t55 @t107) (and @t417 @t375 @t374 (tptp.v1_binop_1 @t7 @t3) @t416)))) % 43.64/44.02 (assume @p295 (forall @t6 (=> @t238 (and (not (tptp.empty_carrier @t237)) @t354 @t353 @t352 @t351)))) % 43.64/44.02 (assume @p296 (forall @t6 (=> @t40 (and (tptp.epsilon_transitive @t242) (tptp.epsilon_connected @t242) (tptp.ordinal @t242))))) % 43.64/44.02 (assume @p297 (and @t383 @t382)) % 43.64/44.02 (assume @p298 (forall @t15 (=> @t95 (not (tptp.empty @t70))))) % 43.64/44.02 (assume @p299 (forall @t15 (=> (and @t185 @t169 @t285 @t168) @t418))) % 43.64/44.02 (assume @p300 (forall @t15 (=> @t419 (and @t368 (tptp.function @t154))))) % 43.64/44.02 (assume @p301 (forall @t6 (=> (and @t59 @t54 @t107) (and @t417 @t375 @t374 (tptp.v2_binop_1 @t7 @t3) @t416)))) % 43.64/44.02 (assume @p302 (forall @t6 (=> @t420 (tptp.closed_subset @t260 @t1)))) % 43.64/44.02 (assume @p303 (forall @t6 (=> @t422 (not @t421)))) % 43.64/44.02 (assume @p304 (and @t383 (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))) % 43.64/44.02 (assume @p305 (forall @t6 (=> @t422 (not @t423)))) % 43.64/44.02 (assume @p306 (forall @t15 (=> @t403 @t424))) % 43.64/44.02 (assume @p307 (forall @t6 (=> @t30 (and @t421 (tptp.relation @t147))))) % 43.64/44.02 (assume @p308 (forall @t6 (=> @t30 (and @t423 (tptp.relation @t281))))) % 43.64/44.02 (assume @p309 (forall @t15 (=> @t386 (tptp.finite @t98)))) % 43.64/44.02 (assume @p310 (forall @t15 (=> @t380 (and (tptp.empty @t310) @t356)))) % 43.64/44.02 (assume @p311 (forall @t15 (=> @t426 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t120 (and @t425 @t337 (= @t1 (tptp.ordered_pair_as_product_element @t171 @t171 @t45 @t115)) (tptp.below_refl @t11 @t45 @t115))))))) % 43.64/44.02 (assume @p312 (forall @t51 (=> (and @t339 @t203) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t45)) @t428)))) % 43.64/44.02 (assume @p313 (forall @t51 (=> (and @t339 @t338 (tptp.complete_latt_str @t11) @t203) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t45)) @t428)))) % 43.64/44.02 (assume @p314 (forall @t15 (=> @t89 (forall @t120 (=> (= @t325 (tptp.rel_str_of @t45 @t115)) @t430))))) % 43.64/44.02 (assume @p315 (forall @t51 (=> @t334 (forall @t432 (=> (= @t327 (tptp.latt_str_of @t115 @t138 @t247)) (and @t427 (= @t11 @t138) @t431)))))) % 43.64/44.02 (assume @p316 (forall @t15 (= (tptp.set_union2 @t1 @t1) @t1))) % 43.64/44.02 (assume @p317 (forall @t15 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 43.64/44.02 (assume @p318 (forall @t51 (=> @t111 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 43.64/44.02 (assume @p319 (forall @t51 (=> @t111 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 43.64/44.02 (assume @p320 (forall @t15 (=> @t33 (= (tptp.subset_complement @t1 @t286) @t11)))) % 43.64/44.02 (assume @p321 (forall @t6 (=> @t67 (= (tptp.relation_inverse @t295) @t1)))) % 43.64/44.02 (assume @p322 (forall @t15 (=> @t314 (= (tptp.complements_of_subsets @t1 @t312) @t11)))) % 43.64/44.02 (assume @p323 (forall @t15 (not (tptp.proper_subset @t1 @t1)))) % 43.64/44.02 (assume @p324 (forall @t6 (=> @t67 (= @t66 (forall @t20 (=> @t433 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 43.64/44.02 (assume @p325 (forall @t6 (not (= @t209 tptp.empty_set)))) % 43.64/44.02 (assume @p326 (forall @t15 (=> @t14 (= (tptp.set_union2 @t209 @t11) @t11)))) % 43.64/44.02 (assume @p327 (forall @t15 (not (and @t434 @t14)))) % 43.64/44.02 (assume @p328 (forall @t15 (=> @t435 @t434))) % 43.64/44.02 (assume @p329 (forall @t15 (=> @t123 (tptp.subset (tptp.relation_dom @t154) @t191)))) % 43.64/44.02 (assume @p330 (forall @t6 (=> @t67 (= @t68 (forall @t195 (=> (and @t194 @t241) @t193)))))) % 43.64/44.02 (assume @p331 (forall @t15 (= (tptp.subset @t209 @t11) @t14))) % 43.64/44.02 (assume @p332 (forall @t15 (=> @t123 (not (and @t436 (tptp.equipotent @t1 @t229) (forall @t90 (=> @t69 (not (tptp.well_orders @t45 @t1))))))))) % 43.64/44.02 (assume @p333 (forall @t15 (= (= @t278 tptp.empty_set) @t125))) % 43.64/44.02 (assume @p334 @t439) % 43.64/44.02 (assume @p335 (forall @t6 (=> @t67 (= @t156 (forall @t135 (=> (and @t194 @t440) @t206)))))) % 43.64/44.02 (assume @p336 (forall @t51 (=> @t125 (or @t117 (tptp.subset @t1 (tptp.set_difference @t11 @t441)))))) % 43.64/44.02 (assume @p337 (forall @t6 (=> @t391 (forall @t20 (=> @t168 (forall @t90 (=> @t100 (= (tptp.in @t45 @t223) @t257)))))))) % 43.64/44.02 (assume @p338 (forall @t6 (=> @t67 (= @t178 (forall @t135 (not (and @t433 (tptp.in @t45 @t155) @t258 @t442 (not @t440)))))))) % 43.64/44.02 (assume @p339 (forall @t15 (= (tptp.subset @t1 @t443) (or @t197 (= @t1 @t443))))) % 43.64/44.02 (assume @p340 (forall @t15 (=> @t14 (tptp.subset @t1 @t444)))) % 43.64/44.02 (assume @p341 (forall @t190 (= (tptp.in @t287 (tptp.cartesian_product2 @t45 @t115)) (and @t445 (tptp.in @t11 @t115))))) % 43.64/44.02 (assume @p342 (forall @t15 (=> @t261 @t446))) % 43.64/44.02 (assume @p343 (forall @t51 (=> @t299 (= @t448 (and (tptp.in @t11 @t275) @t12))))) % 43.64/44.02 (assume @p344 (exists @t6 (and @t94 @t64 @t63 @t40 @t72))) % 43.64/44.02 (assume @p345 (exists @t6 (and @t94 @t41))) % 43.64/44.02 (assume @p346 (exists @t6 @t152)) % 43.64/44.02 (assume @p347 (forall @t15 (exists @t90 (and @t50 @t69 @t47 @t46)))) % 43.64/44.02 (assume @p348 (exists @t6 (and @t94 @t21 @t23 @t25 @t27 @t29))) % 43.64/44.02 (assume @p349 (exists @t6 (and @t5 @t4))) % 43.64/44.02 (assume @p350 (exists @t6 @t81)) % 43.64/44.02 (assume @p351 (exists @t6 (and @t64 @t63 @t40 @t284))) % 43.64/44.02 (assume @p352 (exists @t6 (and @t67 @t44 @t75 @t30))) % 43.64/44.02 (assume @p353 (exists @t6 (and @t30 @t67))) % 43.64/44.02 (assume @p354 (forall @t6 (=> @t94 (exists @t20 (and @t33 @t92))))) % 43.64/44.02 (assume @p355 (forall @t6 (=> @t420 (exists @t20 (and @t168 @t285))))) % 43.64/44.02 (assume @p356 (exists @t6 @t30)) % 43.64/44.02 (assume @p357 (forall @t6 (exists @t20 (and @t33 @t91 @t123 @t86 @t85 @t39 @t38 @t37 @t28 @t74)))) % 43.64/44.02 (assume @p358 (exists @t6 @t77)) % 43.64/44.02 (assume @p359 (forall @t6 (exists @t20 (and @t89 @t123 @t86 @t85 @t84 @t83 @t82)))) % 43.64/44.02 (assume @p360 (exists @t6 (and @t5 @t59 @t4 @t402 @t283 @t290))) % 43.64/44.02 (assume @p361 (exists @t6 (and @t67 @t44 @t75 @t30 @t64 @t63 @t40))) % 43.64/44.02 (assume @p362 (forall @t15 (exists @t90 (and @t50 @t69 @t47)))) % 43.64/44.02 (assume @p363 (exists @t6 @t422)) % 43.64/44.02 (assume @p364 (forall @t6 (exists @t20 (and @t33 @t91)))) % 43.64/44.02 (assume @p365 (forall @t6 (exists @t20 (and @t33 (not @t449))))) % 43.64/44.02 (assume @p366 (forall @t6 (=> @t420 (exists @t20 (and @t168 @t285 @t292))))) % 43.64/44.02 (assume @p367 (exists @t6 @t94)) % 43.64/44.02 (assume @p368 (forall @t6 (=> @t94 (exists @t20 (and @t33 @t92 @t74))))) % 43.64/44.02 (assume @p369 (exists @t6 @t76)) % 43.64/44.02 (assume @p370 (exists @t6 (and @t10 @t9))) % 43.64/44.02 (assume @p371 (exists @t6 (and @t94 @t64 @t63 @t40))) % 43.64/44.02 (assume @p372 (forall @t6 (exists @t20 (and @t89 @t123 @t87 (tptp.symmetric @t11) @t413 @t412 @t88)))) % 43.64/44.02 (assume @p373 (exists @t6 @t385)) % 43.64/44.02 (assume @p374 (exists @t6 (and @t137 @t59))) % 43.64/44.02 (assume @p375 (exists @t6 (and @t67 @t384 @t44))) % 43.64/44.02 (assume @p376 (forall @t6 (=> @t391 (exists @t20 (and @t168 @t92))))) % 43.64/44.02 (assume @p377 (exists @t6 (and @t10 @t59 @t9))) % 43.64/44.02 (assume @p378 (forall @t6 (=> @t420 (exists @t20 (and @t168 @t292))))) % 43.64/44.02 (assume @p379 (forall @t6 (=> @t186 (exists @t20 (and @t168 @t92 @t292))))) % 43.64/44.02 (assume @p380 (exists @t6 (and @t10 @t59 @t9 @t57 @t56 @t55 @t54 @t53 @t52 @t61))) % 43.64/44.02 (assume @p381 (forall @t190 (=> @t340 (= @t336 @t118)))) % 43.64/44.02 (assume @p382 (forall @t190 (=> @t343 (= @t341 @t118)))) % 43.64/44.02 (assume @p383 (forall @t6 (= @t345 @t32))) % 43.64/44.02 (assume @p384 (forall @t350 (=> @t349 (= @t347 (tptp.apply_binary @t115 @t138 @t247))))) % 43.64/44.02 (assume @p385 (forall @t6 (=> @t238 (= @t236 @t308)))) % 43.64/44.02 (assume @p386 (forall @t51 (=> @t103 (= @t99 @t204)))) % 43.64/44.02 (assume @p387 (forall @t51 (=> @t108 (= @t106 @t160)))) % 43.64/44.02 (assume @p388 (forall @t51 (=> @t50 (= @t199 @t275)))) % 43.64/44.02 (assume @p389 (forall @t51 (=> @t111 (= @t109 @t450)))) % 43.64/44.02 (assume @p390 (forall @t51 (=> @t50 (= @t359 @t274)))) % 43.64/44.02 (assume @p391 (forall @t15 (=> @t314 (= @t360 @t444)))) % 43.64/44.02 (assume @p392 (forall @t51 (=> @t111 (= @t112 @t451)))) % 43.64/44.02 (assume @p393 (forall @t6 (= @t361 @t121))) % 43.64/44.02 (assume @p394 (forall @t15 (=> @t314 (= @t363 @t234)))) % 43.64/44.02 (assume @p395 (forall @t51 (=> @t111 (= @t364 @t452)))) % 43.64/44.02 (assume @p396 (forall @t190 (=> @t367 (= @t366 @t297)))) % 43.64/44.02 (assume @p397 (forall @t51 (= @t200 @t50))) % 43.64/44.02 (assume @p398 (forall @t15 (=> @t114 (= @t113 @t125)))) % 43.64/44.02 (assume @p399 (forall @t15 (= @t277 (tptp.are_equipotent @t1 @t11)))) % 43.64/44.02 (assume @p400 (forall @t51 (=> @t454 (= @t453 @t256)))) % 43.64/44.02 (assume @p401 (forall @t51 (=> @t455 (= (tptp.related_reflexive @t1 @t11 @t45) @t317)))) % 43.64/44.02 (assume @p402 (forall @t15 (=> @t114 (tptp.ordinal_subset @t1 @t1)))) % 43.64/44.02 (assume @p403 (forall @t15 (tptp.subset @t1 @t1))) % 43.64/44.02 (assume @p404 (forall @t15 (tptp.equipotent @t1 @t1))) % 43.64/44.02 (assume @p405 (forall @t51 (=> @t454 (tptp.below_refl @t1 @t11 @t11)))) % 43.64/44.02 (assume @p406 (forall @t51 (=> @t455 (tptp.related_reflexive @t1 @t11 @t11)))) % 43.64/44.02 (assume @p407 (forall @t15 (=> @t473 (=> @t472 (exists @t90 (and @t69 @t47 (forall @t143 (= @t142 (and @t220 @t220 (exists @t460 (and (= @t115 @t457) (tptp.in @t138 @t457) (forall @t459 (=> @t458 (tptp.in (tptp.ordered_pair @t138 @t456) @t11)))))))))))))) % 43.64/44.02 (assume @p408 (forall @t6 (=> @t476 (exists @t20 (and @t123 @t86 (forall @t120 (= @t119 (and @t117 @t117 (= @t115 @t441))))))))) % 43.64/44.02 (assume @p409 (forall @t15 (=> @t489 (=> @t488 (exists @t90 (and @t69 @t47 (forall @t143 (= @t142 (and @t482 @t482 @t480))))))))) % 43.64/44.02 (assume @p410 (forall @t15 (=> @t489 (=> @t490 (exists @t90 (and @t69 @t47 (forall @t143 (= @t142 (and @t141 @t141 @t480))))))))) % 43.64/44.02 (assume @p411 (forall @t6 (=> (exists @t20 (and @t37 @t12)) (exists @t20 (and @t37 @t12 (forall @t90 (=> @t491 (=> @t117 (tptp.ordinal_subset @t11 @t45))))))))) % 43.64/44.02 (assume @p412 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t515)) (not (and @t221 (forall @t20 (not (and @t12 (forall @t90 (=> (and @t117 @t514) (= @t45 @t11))))))))))) (forall @t130 (=> @t498 (=> @t513 (=> (tptp.in @t512 tptp.omega) (forall @t466 (=> (tptp.element @t463 (tptp.powerset (tptp.powerset @t512))) (not (and (not (= @t463 tptp.empty_set)) (forall @t465 (not (and @t464 (forall @t460 (=> (and (tptp.in @t457 @t463) (tptp.subset @t462 @t457)) (= @t457 @t462)))))))))))))) (forall @t130 (=> @t498 (=> (and (tptp.being_limit_ordinal @t115) (forall @t459 (=> (tptp.ordinal @t456) (=> (tptp.in @t456 @t115) (=> (tptp.in @t456 tptp.omega) (forall @t511 (=> (tptp.element @t507 (tptp.powerset (tptp.powerset @t456))) (not (and (not (= @t507 tptp.empty_set)) (forall @t510 (not (and @t509 (forall @t508 (=> (and (tptp.in @t506 @t507) (tptp.subset @t505 @t506)) (= @t506 @t505))))))))))))))) (or (= @t115 tptp.empty_set) (=> @t497 (forall @t504 (=> (tptp.element @t501 @t495) (not (and (not (= @t501 tptp.empty_set)) (forall @t503 (not (and (tptp.in @t499 @t501) (forall @t502 (=> (and (tptp.in @t500 @t501) (tptp.subset @t499 @t500)) (= @t500 @t499)))))))))))))))) (forall @t130 (=> @t498 (=> @t497 (forall @t496 (=> (tptp.element @t494 @t495) (not (and (not (= @t494 tptp.empty_set)) (forall (@list @t492) (not (and (tptp.in @t492 @t494) (forall (@list @t493) (=> (and (tptp.in @t493 @t494) (tptp.subset @t492 @t493)) (= @t493 @t492))))))))))))))) % 43.64/44.02 (assume @p413 (forall @t51 (=> @t519 (exists @t130 (and @t518 (forall @t250 (= (tptp.in @t248 @t115) (and @t153 @t517 (tptp.in (tptp.ordered_pair @t296 @t516) @t11))))))))) % 43.64/44.02 (assume @p414 (forall @t15 (=> @t473 (=> @t472 (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t153 @t153 (exists @t460 (and (= @t138 @t457) @t521 @t520))))))))))) % 43.64/44.02 (assume @p415 (forall @t15 (=> @t473 (forall @t90 (=> (forall @t432 (=> (and @t461 (exists @t532 (and @t531 @t529 (exists @t465 (and (= @t468 @t462) (tptp.in @t463 @t462) (forall @t460 (=> @t528 (tptp.in (tptp.ordered_pair @t463 @t457) @t11))))))) @t527 (exists @t526 (and (= @t525 @t247) (tptp.in @t456 @t1) (exists @t510 (and (= @t456 @t505) (tptp.in @t507 @t505) (forall @t508 (=> (tptp.in @t506 @t505) (tptp.in (tptp.ordered_pair @t507 @t506) @t11)))))))) @t524)) (exists @t130 (forall @t148 (= @t189 (exists @t309 (and (tptp.in @t247 @t523) @t522 (exists (@list @t501 @t499) (and (= (tptp.ordered_pair @t501 @t499) @t138) (tptp.in @t501 @t1) (exists @t502 (and (= @t501 @t500) (tptp.in @t499 @t500) (forall @t496 (=> (tptp.in @t494 @t500) (tptp.in (tptp.ordered_pair @t499 @t494) @t11))))))))))))))))) % 43.64/44.02 (assume @p416 (forall @t6 (=> @t476 (exists @t20 (forall @t90 (= @t216 (exists @t130 (and @t220 @t220 (= @t45 (tptp.singleton @t115)))))))))) % 43.64/44.02 (assume @p417 (forall @t15 (=> (forall @t311 (=> (and @t116 (exists @t539 (and (= @t538 @t115) @t517 (= @t468 (tptp.singleton @t247)))) @t537 (exists (@list @t463 @t462) (and (= (tptp.ordered_pair @t463 @t462) @t138) @t536 (= @t462 (tptp.singleton @t463))))) @t461)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t138 @t70) @t535 (exists @t534 (and (= @t533 @t115) (tptp.in @t457 @t1) (= @t456 (tptp.singleton @t457)))))))))))) % 43.64/44.02 (assume @p418 (forall @t6 (=> @t40 (=> (forall @t195 (=> (and @t206 (exists @t148 (and @t541 @t537 (=> (tptp.in @t138 tptp.omega) (forall @t309 (=> (tptp.element @t247 (tptp.powerset (tptp.powerset @t138))) @t540))))) @t239 (exists @t465 (and (tptp.ordinal @t462) (= @t115 @t462) (=> (tptp.in @t462 tptp.omega) (forall @t460 (=> (tptp.element @t457 (tptp.powerset (tptp.powerset @t462))) (not (and (not (= @t457 tptp.empty_set)) (forall @t459 (not (and @t458 (forall @t511 (=> (and (tptp.in @t507 @t457) (tptp.subset @t456 @t507)) (= @t507 @t456)))))))))))))) @t116)) (exists @t20 (forall @t90 (= @t216 (exists @t130 (and (tptp.in @t115 @t210) @t301 (exists @t510 (and (tptp.ordinal @t505) (= @t45 @t505) (=> (tptp.in @t505 tptp.omega) (forall @t508 (=> (tptp.element @t506 (tptp.powerset (tptp.powerset @t505))) (not (and (not (= @t506 tptp.empty_set)) (forall @t504 (not (and (tptp.in @t501 @t506) (forall @t503 (=> (and (tptp.in @t499 @t506) (tptp.subset @t501 @t499)) (= @t499 @t501)))))))))))))))))))))) % 43.64/44.02 (assume @p419 (forall @t15 (=> @t403 (=> (forall @t311 (=> (and @t116 (exists @t309 (and @t486 @t544 (tptp.closed_subset @t247 @t1) @t542)) @t537 (exists @t470 (and @t483 (= @t468 @t138) (tptp.closed_subset @t468 @t1) (tptp.subset @t11 @t138)))) @t461)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t543 @t535 (exists @t466 (and @t479 @t478 (tptp.closed_subset @t463 @t1) @t542))))))))))) % 43.64/44.02 (assume @p420 (forall @t15 (=> @t546 (=> (forall @t311 (=> (and @t116 @t545 @t537 (tptp.in (tptp.set_difference @t260 @t138) @t11)) @t461)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t543 @t535 @t545))))))))) % 43.64/44.02 (assume @p421 (forall @t15 (=> @t548 (=> (forall @t311 (=> (and @t116 (exists @t309 (and @t249 (= @t115 (tptp.set_difference @t247 @t209)))) @t537 (exists @t470 (and @t547 (= @t138 (tptp.set_difference @t468 @t209))))) @t461)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t138 @t32) @t535 (exists @t466 (and (tptp.in @t463 @t11) (= @t115 (tptp.set_difference @t463 @t209))))))))))))) % 43.64/44.02 (assume @p422 (forall @t15 (=> @t489 (=> @t488 (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t551 @t551 @t550))))))))) % 43.64/44.02 (assume @p423 (forall @t15 (=> @t489 (forall @t90 (=> (forall @t432 (=> (and @t461 (exists @t532 (and @t531 (tptp.in @t468 @t481) @t560)) @t527 (exists @t534 (and @t557 (tptp.in @t457 @t481) @t556))) @t524)) (exists @t130 (forall @t148 (= @t189 (exists @t309 (and (tptp.in @t247 @t555) @t522 (exists @t554 (and @t553 (tptp.in @t505 @t481) @t552)))))))))))) % 43.64/44.02 (assume @p424 (forall @t15 (=> @t489 (=> @t490 (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t146 @t146 @t550))))))))) % 43.64/44.02 (assume @p425 (forall @t15 (=> @t489 (forall @t90 (=> (forall @t432 (=> (and @t461 (exists @t532 (and @t531 @t547 @t560)) @t527 (exists @t534 (and @t557 (tptp.in @t457 @t11) @t556))) @t524)) (exists @t130 (forall @t148 (= @t189 (exists @t309 (and (tptp.in @t247 @t561) @t522 (exists @t554 (and @t553 (tptp.in @t505 @t11) @t552)))))))))))) % 43.64/44.02 (assume @p426 (forall @t51 (=> @t519 (=> (forall @t432 (=> (and @t461 (exists @t532 (and (= @t138 @t530) (tptp.in (tptp.ordered_pair @t562 (tptp.apply @t45 @t463)) @t11))) @t527 (exists (@list @t462 @t457) (and (= @t247 (tptp.ordered_pair @t462 @t457)) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t462) (tptp.apply @t45 @t457)) @t11)))) @t524)) (exists @t130 (forall @t148 (= @t189 (exists @t309 (and (tptp.in @t247 @t329) @t522 (exists @t526 (and (= @t138 @t525) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t456) (tptp.apply @t45 @t507)) @t11)))))))))))) % 43.64/44.02 (assume @p427 (forall @t6 (=> (forall @t195 (=> (and @t206 @t491 @t239 @t498) @t116)) (exists @t20 (forall @t90 (= @t216 (exists @t130 (and @t220 @t301 @t491)))))))) % 43.64/44.02 (assume @p428 (forall @t51 (=> @t565 (=> (forall @t432 (=> (and @t461 @t563 @t527 (tptp.in (tptp.relation_image @t45 @t247) @t11)) @t524)) (exists @t130 (forall @t148 (= @t189 (exists @t309 (and (tptp.in @t247 @t564) @t522 @t563))))))))) % 43.64/44.02 (assume @p429 (forall @t15 (=> @t37 (=> (forall @t311 (=> (and @t116 (exists @t309 (and (tptp.ordinal @t247) @t527 @t517)) @t537 (exists @t470 (and (tptp.ordinal @t468) (= @t138 @t468) @t529))) @t461)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t138 @t566) @t535 (exists @t466 (and (tptp.ordinal @t463) (= @t115 @t463) @t536))))))))))) % 43.64/44.02 (assume @p430 (forall @t15 (=> @t473 (forall @t90 (exists @t130 (forall @t148 (= @t189 (and (tptp.in @t138 @t523) (exists @t539 (and @t567 @t517 (exists @t466 (and (= @t247 @t463) (tptp.in @t468 @t463) (forall @t465 (=> @t464 (tptp.in (tptp.ordered_pair @t468 @t462) @t11))))))))))))))) % 43.64/44.02 (assume @p431 (forall @t15 (exists @t90 (forall @t130 (= @t149 (and (tptp.in @t115 @t70) (exists @t250 (and (= @t248 @t115) @t153 (= @t247 (tptp.singleton @t138)))))))))) % 43.64/44.02 (assume @p432 (forall @t6 (=> @t40 (exists @t20 (forall @t90 (= @t216 (and (tptp.in @t45 @t210) (exists @t130 (and @t498 @t116 @t513))))))))) % 43.64/44.02 (assume @p433 (forall @t15 (=> @t403 (exists @t90 (forall @t130 (= @t149 (and @t569 @t568))))))) % 43.64/44.02 (assume @p434 (forall @t15 (=> @t546 (exists @t90 (forall @t130 (= @t149 (and @t569 @t545))))))) % 43.64/44.02 (assume @p435 (forall @t15 (=> @t548 (exists @t90 (forall @t130 (= @t149 (and (tptp.in @t115 @t32) (exists @t148 (and @t146 (= @t115 (tptp.set_difference @t138 @t209))))))))))) % 43.64/44.02 (assume @p436 (forall @t15 (=> @t489 (forall @t90 (exists @t130 (forall @t148 (= @t189 (and (tptp.in @t138 @t555) (exists @t539 (and @t567 (tptp.in @t247 @t481) @t570)))))))))) % 43.64/44.02 (assume @p437 (forall @t15 (=> @t489 (forall @t90 (exists @t130 (forall @t148 (= @t189 (and (tptp.in @t138 @t561) (exists @t539 (and @t567 @t249 @t570)))))))))) % 43.64/44.02 (assume @p438 (forall @t51 (=> @t519 (exists @t130 (forall @t148 (= @t189 (and (tptp.in @t138 @t329) (exists @t539 (and (= @t138 @t538) (tptp.in (tptp.ordered_pair @t516 @t562) @t11)))))))))) % 43.64/44.02 (assume @p439 (forall @t6 (exists @t20 (forall @t90 (= @t216 (and @t117 @t491)))))) % 43.64/44.02 (assume @p440 (forall @t51 (=> @t565 (exists @t130 (forall @t148 (= @t189 (and (tptp.in @t138 @t564) @t563))))))) % 43.64/44.02 (assume @p441 (forall @t15 (=> @t37 (exists @t90 (forall @t130 (= @t149 (and (tptp.in @t115 @t566) (exists @t148 (and @t541 @t461 @t153))))))))) % 43.64/44.02 (assume @p442 (forall @t15 (=> @t473 (=> (and (forall @t311 (=> (and @t117 @t471 @t467) @t461)) (forall @t90 (not (and @t117 (forall @t130 (not (exists @t460 (and (= @t45 @t457) @t521 @t520)))))))) (exists @t90 (and @t69 @t47 @t276 (forall @t130 (=> @t220 (exists @t511 (and (= @t115 @t507) (tptp.in @t297 @t507) (forall @t510 (=> @t509 (tptp.in (tptp.ordered_pair @t297 @t505) @t11))))))))))))) % 43.64/44.02 (assume @p443 (forall @t6 (=> (and (forall @t195 (=> (and @t12 @t475 @t474) @t116)) (forall @t20 (not (and @t12 (forall @t90 (not @t475)))))) @t573))) % 43.64/44.02 (assume @p444 (forall @t15 (=> @t489 (=> (and (forall @t311 (=> (and @t485 @t487 @t484) @t461)) (forall @t90 (not (and @t485 @t575)))) (exists @t90 (and @t69 @t47 (= @t275 @t481) (forall @t130 (=> @t482 @t574)))))))) % 43.64/44.02 (assume @p445 (forall @t15 (=> @t489 (=> (and (forall @t311 (=> (and @t216 @t487 @t484) @t461)) (forall @t90 (not (and @t216 @t575)))) (exists @t90 (and @t69 @t47 (= @t275 @t11) (forall @t130 (=> @t141 @t574)))))))) % 43.64/44.02 (assume @p446 (=> (forall @t6 (=> @t40 (=> (forall @t20 (=> @t37 (=> @t12 (=> (tptp.in @t11 tptp.omega) (forall @t90 (=> (tptp.element @t45 (tptp.powerset @t358)) (not (and @t262 (forall @t130 (not (and @t149 (forall @t148 (=> (and (tptp.in @t138 @t45) (tptp.subset @t115 @t138)) @t535))))))))))))) (=> @t576 (forall @t309 (=> (tptp.element @t247 @t313) @t540)))))) (forall @t6 (=> @t40 (=> @t576 (forall @t465 (=> (tptp.element @t462 @t313) (not (and (not (= @t462 tptp.empty_set)) (forall @t460 (not (and @t528 (forall @t459 (=> (and (tptp.in @t456 @t462) (tptp.subset @t457 @t456)) (= @t456 @t457))))))))))))))) % 43.64/44.02 (assume @p447 (forall @t6 @t573)) % 43.64/44.02 (assume @p448 (forall @t15 (=> @t403 (exists @t90 (and @t252 (forall @t130 (=> @t577 (= @t149 @t568)))))))) % 43.64/44.02 (assume @p449 (forall @t15 (=> @t546 (exists @t90 (and @t252 (forall @t130 (=> @t577 (= @t149 @t545)))))))) % 43.64/44.02 (assume @p450 (forall @t15 (=> @t300 (tptp.disjoint @t11 @t1)))) % 43.64/44.02 (assume @p451 (forall @t15 (=> @t277 (tptp.equipotent @t11 @t1)))) % 43.64/44.02 (assume @p452 (forall @t6 (tptp.in @t1 @t210))) % 43.64/44.02 (assume @p453 (forall @t15 (=> @t314 (and @t579 (not (and (not @t578) @t198)))))) % 43.64/44.02 (assume @p454 (forall @t190 (not (and (= @t96 (tptp.unordered_pair @t45 @t115)) (not @t429) (not @t427))))) % 43.64/44.02 (assume @p455 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t45))) (and @t14 (tptp.in @t1 @t274)))))) % 43.64/44.02 (assume @p456 (forall @t15 (=> @t123 (tptp.subset @t580 @t1)))) % 43.64/44.02 (assume @p457 (forall @t15 (=> @t123 (tptp.subset @t154 @t11)))) % 43.64/44.02 (assume @p458 (forall @t15 (=> @t123 (tptp.subset @t580 @t192)))) % 43.64/44.02 (assume @p459 (forall @t51 (=> @t125 (and (tptp.subset @t523 @t561) (tptp.subset (tptp.cartesian_product2 @t45 @t1) (tptp.cartesian_product2 @t45 @t11)))))) % 43.64/44.02 (assume @p460 (forall @t15 (=> @t123 (= @t580 (tptp.set_intersection2 @t192 @t1))))) % 43.64/44.02 (assume @p461 (forall @t190 (=> (and @t125 @t228) (tptp.subset @t523 (tptp.cartesian_product2 @t11 @t115))))) % 43.64/44.02 (assume @p462 (forall @t15 (=> @t314 (=> @t235 (= @t581 (tptp.subset_complement @t1 @t360)))))) % 43.64/44.02 (assume @p463 (forall @t51 (=> @t200 (and (tptp.subset @t275 @t1) (tptp.subset @t274 @t11))))) % 43.64/44.02 (assume @p464 (forall @t15 (=> @t314 (=> @t235 (= @t582 (tptp.subset_complement @t1 @t363)))))) % 43.64/44.02 (assume @p465 (forall @t15 (=> @t125 (= @t98 @t11)))) % 43.64/44.02 (assume @p466 (forall @t6 (exists @t20 (and @t14 @t585 (forall @t90 (=> @t216 (tptp.in @t584 @t11))) @t583)))) % 43.64/44.02 (assume @p467 (forall @t6 (=> @t186 (= @t254 (forall @t20 (=> @t215 (not (and (tptp.centered @t11) @t245 (= @t586 tptp.empty_set))))))))) % 43.64/44.02 (assume @p468 (forall @t15 (=> (and @t125 @t74) @t41))) % 43.64/44.02 (assume @p469 (forall @t6 (=> @t137 (forall @t20 (=> @t215 (= (tptp.finite @t481) @t74)))))) % 43.64/44.02 (assume @p470 (forall @t51 (=> @t69 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t45) @t11) (tptp.relation_rng_restriction @t1 @t587))))) % 43.64/44.02 (assume @p471 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_image @t45 @t11)) (exists @t130 (and (tptp.in @t115 @t275) (tptp.in (tptp.ordered_pair @t115 @t1) @t45) @t141)))))) % 43.64/44.02 (assume @p472 (forall @t15 (=> @t123 (tptp.subset @t588 @t192)))) % 43.64/44.02 (assume @p473 (forall @t15 (=> @t419 (tptp.subset @t590 @t1)))) % 43.64/44.02 (assume @p474 (forall @t15 (=> @t123 (= @t588 (tptp.relation_image @t11 @t591))))) % 43.64/44.02 (assume @p475 (forall @t15 (=> @t123 (=> (tptp.subset @t1 @t191) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t588)))))) % 43.64/44.02 (assume @p476 (forall @t6 (=> @t67 (= (tptp.relation_image @t1 @t147) @t281)))) % 43.64/44.02 (assume @p477 (forall @t15 (=> @t419 (=> @t592 (= @t590 @t1))))) % 43.64/44.02 (assume @p478 (forall @t190 (=> @t595 (=> (tptp.subset @t594 @t11) @t593)))) % 43.64/44.02 (assume @p479 (forall @t6 (=> @t137 (forall @t20 (=> @t168 (= (tptp.subset_intersection2 @t3 @t11 @t260) @t11)))))) % 43.64/44.02 (assume @p480 (forall @t6 (=> @t596 (forall @t20 (= @t307 (exists @t90 (and @t100 @t306 @t305))))))) % 43.64/44.02 (assume @p481 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t597 (tptp.relation_image @t11 @t281))))))) % 43.64/44.02 (assume @p482 (forall @t51 (=> @t69 (= (tptp.in @t1 @t598) (exists @t130 (and (tptp.in @t115 @t274) (tptp.in (tptp.ordered_pair @t1 @t115) @t45) @t141)))))) % 43.64/44.02 (assume @p483 (forall @t15 (=> @t123 (tptp.subset @t589 @t191)))) % 43.64/44.02 (assume @p484 (forall @t190 (=> @t595 (=> @t125 @t593)))) % 43.64/44.02 (assume @p485 (forall @t6 (=> @t169 (forall @t20 (=> @t215 (= @t245 (tptp.open_subsets @t481 @t1))))))) % 43.64/44.02 (assume @p486 (forall @t51 (=> @t69 (= (tptp.in @t1 @t599) (and @t445 (tptp.in @t1 @t293)))))) % 43.64/44.02 (assume @p487 (forall @t6 (=> @t596 (forall @t20 (= @t134 (exists @t90 (and @t100 @t132 @t131))))))) % 43.64/44.02 (assume @p488 (forall @t15 (=> @t123 (not (and @t221 @t592 (= @t589 tptp.empty_set)))))) % 43.64/44.02 (assume @p489 (forall @t51 (=> @t69 (=> @t125 (tptp.subset (tptp.relation_inverse_image @t45 @t1) @t598))))) % 43.64/44.02 (assume @p490 (forall @t15 (=> @t419 (=> @t41 (tptp.finite @t588))))) % 43.64/44.02 (assume @p491 (forall @t6 (=> @t137 (forall @t20 (=> @t168 (= @t223 @t291)))))) % 43.64/44.02 (assume @p492 (forall @t6 (=> @t169 (forall @t20 (=> @t215 (= @t226 (tptp.closed_subsets @t481 @t1))))))) % 43.64/44.02 (assume @p493 (forall @t15 (=> @t123 (= @t600 (tptp.relation_dom_restriction @t154 @t1))))) % 43.64/44.02 (assume @p494 (forall @t15 (tptp.subset @t105 @t1))) % 43.64/44.02 (assume @p495 (forall @t6 (=> @t41 (forall @t20 (=> @t314 (not (and @t235 (forall @t90 (not (and @t216 (forall @t130 (=> (and @t141 @t228) @t301)))))))))))) % 43.64/44.02 (assume @p496 (forall @t15 (=> @t123 (= @t600 (tptp.relation_rng_restriction @t1 @t601))))) % 43.64/44.02 (assume @p497 (forall @t51 (=> @t69 (=> (tptp.in @t1 (tptp.relation_field @t599)) (and @t603 @t14))))) % 43.64/44.02 (assume @p498 (forall @t51 (=> (and @t125 @t604) (tptp.subset @t1 @t451)))) % 43.64/44.02 (assume @p499 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 43.64/44.02 (assume @p500 (forall @t15 (=> @t607 (forall @t90 (=> @t606 (and (= (tptp.join @t202 @t11 @t45) @t450) (= (tptp.meet @t202 @t11 @t45) @t451))))))) % 43.64/44.02 (assume @p501 (forall @t15 (=> @t14 @t608))) % 43.64/44.02 (assume @p502 (forall @t51 (=> (and @t125 @t514) @t604))) % 43.64/44.02 (assume @p503 (= @t515 (tptp.singleton tptp.empty_set))) % 43.64/44.02 (assume @p504 (forall @t51 (=> @t69 (=> @t610 (and @t609 (tptp.in @t11 @t274)))))) % 43.64/44.02 (assume @p505 (forall @t15 (=> @t123 (and (tptp.subset @t611 @t229) (tptp.subset @t611 @t1))))) % 43.64/44.02 (assume @p506 (forall @t15 (=> @t419 (forall @t90 (=> @t299 (= @t614 (and @t609 (tptp.in @t612 @t191)))))))) % 43.64/44.02 (assume @p507 (forall @t190 (=> @t616 (forall @t148 (=> (and (tptp.relation @t138) (tptp.function @t138)) (=> @t117 (or @t198 (= (tptp.apply (tptp.relation_composition @t115 @t138) @t45) (tptp.apply @t138 @t615))))))))) % 43.64/44.02 (assume @p508 (forall @t6 (=> @t64 (forall @t20 (=> @t37 (=> @t17 @t14)))))) % 43.64/44.02 (assume @p509 (forall @t6 (=> @t67 (tptp.subset @t1 (tptp.cartesian_product2 @t147 @t281))))) % 43.64/44.02 (assume @p510 (forall @t51 (=> @t69 (tptp.subset (tptp.fiber (tptp.relation_restriction @t45 @t1) @t11) (tptp.fiber @t45 @t11))))) % 43.64/44.02 (assume @p511 (forall @t15 (=> @t419 (forall @t90 (=> @t299 (=> @t614 (= (tptp.apply @t613 @t1) (tptp.apply @t11 @t612)))))))) % 43.64/44.02 (assume @p512 (forall @t6 (=> @t137 (forall @t20 (=> @t168 (= (tptp.subset_difference @t3 @t260 @t291) @t11)))))) % 43.64/44.02 (assume @p513 (forall @t51 (=> (tptp.relation_of2_as_subset @t45 @t11 @t1) (= (forall @t130 (not (and @t141 (forall @t148 (not @t142))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t45) @t11))))) % 43.64/44.02 (assume @p514 (forall @t15 (=> @t123 (=> @t87 (tptp.reflexive @t600))))) % 43.64/44.02 (assume @p515 (forall @t15 (=> @t419 (forall @t90 (=> @t299 (=> (tptp.in @t1 @t191) (= (tptp.apply (tptp.relation_composition @t11 @t45) @t1) (tptp.apply @t45 (tptp.apply @t11 @t1))))))))) % 43.64/44.02 (assume @p516 (forall @t6 (=> (and @t59 @t55 @t53 @t10) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (tptp.below @t1 @t106 @t11)))))))) % 43.64/44.02 (assume @p517 (forall @t15 (=> @t37 (=> @t14 @t40)))) % 43.64/44.02 (assume @p518 (forall @t51 (=> @t200 (= (forall @t130 (not (and @t141 (forall @t148 (not (tptp.in @t170 @t45)))))) (= @t359 @t11))))) % 43.64/44.02 (assume @p519 (forall @t15 (=> @t123 (=> @t617 (tptp.connected @t600))))) % 43.64/44.02 (assume @p520 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (not (and @t435 @t315 @t13))))))) % 43.64/44.02 (assume @p521 (forall @t15 (=> @t123 (=> @t412 (tptp.transitive @t600))))) % 43.64/44.02 (assume @p522 (forall @t6 (=> @t596 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (=> (and @t317 (tptp.related @t1 @t45 @t11)) @t206)))))))) % 43.64/44.02 (assume @p523 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> @t125 (and (tptp.subset @t147 @t191) (tptp.subset @t281 @t192)))))))) % 43.64/44.02 (assume @p524 (forall @t15 (=> @t123 (=> @t413 (tptp.antisymmetric @t600))))) % 43.64/44.02 (assume @p525 (forall @t15 (=> @t123 (=> @t620 (and @t619 @t618))))) % 43.64/44.02 (assume @p526 (forall @t6 (=> @t152 (=> (tptp.finite @t147) (tptp.finite @t281))))) % 43.64/44.02 (assume @p527 (forall @t6 (=> @t401 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (=> (and @t256 (tptp.below @t1 @t45 @t11)) @t206)))))))) % 43.64/44.02 (assume @p528 (forall @t6 (=> (and @t283 @t5) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (forall @t130 (=> @t129 (=> (and @t317 @t304) @t621)))))))))) % 43.64/44.02 (assume @p529 (forall @t6 (exists @t20 (and @t123 @t620)))) % 43.64/44.02 (assume @p530 (forall @t51 (=> @t125 (tptp.subset (tptp.set_intersection2 @t1 @t45) @t451)))) % 43.64/44.02 (assume @p531 (forall @t15 (=> @t426 (forall @t90 (=> @t425 (= (tptp.latt_set_smaller @t11 @t45 @t1) (tptp.relstr_element_smaller @t623 @t1 @t622))))))) % 43.64/44.02 (assume @p532 (forall @t6 (=> @t94 (not (and (forall @t20 (not (and @t12 @t198))) (forall @t20 (=> @t419 (not (and @t572 (forall @t90 (=> @t117 (tptp.in @t571 @t45)))))))))))) % 43.64/44.02 (assume @p533 (forall @t15 (=> @t125 (= @t105 @t1)))) % 43.64/44.02 (assume @p534 (forall @t15 (=> @t426 (forall @t90 (=> @t625 (= (tptp.relstr_element_smaller @t623 @t1 @t45) (tptp.latt_set_smaller @t11 @t624 @t1))))))) % 43.64/44.02 (assume @p535 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t292 @t414)))))) % 43.64/44.02 (assume @p536 (forall @t6 (=> @t232 (forall @t20 (and (= @t231 (tptp.join_on_relstr @t237 @t11)) (= @t233 (tptp.meet_on_relstr @t237 @t11))))))) % 43.64/44.02 (assume @p537 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 43.64/44.02 (assume @p538 (forall @t15 (=> @t607 (forall @t90 (=> @t606 (= (tptp.below @t202 @t11 @t45) @t514)))))) % 43.64/44.02 (assume @p539 (forall @t15 (=> @t608 (or @t91 @t14)))) % 43.64/44.02 (assume @p540 (forall @t15 (=> (forall @t90 (= @t117 @t216)) @t126))) % 43.64/44.02 (assume @p541 (forall @t6 (tptp.reflexive @t230))) % 43.64/44.02 (assume @p542 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 43.64/44.02 (assume @p543 (forall @t15 (=> @t426 (forall @t90 (=> @t425 (= (tptp.latt_element_smaller @t11 @t45 @t1) (tptp.relstr_set_smaller @t623 @t1 @t622))))))) % 43.64/44.02 (assume @p544 (forall @t51 (=> @t69 (=> @t610 (and @t603 (tptp.in @t11 @t602)))))) % 43.64/44.02 (assume @p545 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t285 @t418)))))) % 43.64/44.02 (assume @p546 (forall @t6 (=> @t596 (forall @t20 (=> @t101 (forall @t90 (and (=> @t626 @t627) (=> @t627 @t626)))))))) % 43.64/44.02 (assume @p547 (forall @t15 (=> @t426 (forall @t90 (=> @t625 (= (tptp.relstr_set_smaller @t623 @t1 @t45) (tptp.latt_element_smaller @t11 @t624 @t1))))))) % 43.64/44.02 (assume @p548 (forall @t6 (=> (forall @t20 (=> @t12 (and @t37 @t124))) @t40))) % 43.64/44.02 (assume @p549 (forall @t15 (=> @t123 (=> @t628 (tptp.well_founded_relation @t600))))) % 43.64/44.02 (assume @p550 (forall @t6 (=> @t238 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t45) @t308) @t453)))))))) % 43.64/44.02 (assume @p551 (forall @t15 (=> @t37 (not (and @t125 @t221 (forall @t90 (=> @t491 (not (and @t117 (forall @t130 (=> @t498 (=> @t220 (tptp.ordinal_subset @t45 @t115))))))))))))) % 43.64/44.02 (assume @p552 (forall @t15 (=> @t123 (=> @t436 @t618)))) % 43.64/44.02 (assume @p553 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (= @t14 (tptp.ordinal_subset @t210 @t11))))))) % 43.64/44.02 (assume @p554 (forall @t51 (=> @t125 (tptp.subset (tptp.set_difference @t1 @t45) @t452)))) % 43.64/44.02 (assume @p555 (forall @t190 (=> (= @t287 @t118) @t430))) % 43.64/44.02 (assume @p556 (forall @t15 (=> @t419 (= @t122 (and @t572 (forall @t90 (=> @t117 (= @t571 @t45)))))))) % 43.64/44.02 (assume @p557 (forall @t6 (=> @t232 (forall @t20 (=> @t101 (forall @t90 (= (= @t11 (tptp.meet_of_latt_set @t1 @t45)) (and @t179 (forall @t130 (=> @t129 (=> (tptp.latt_set_smaller @t1 @t115 @t45) (tptp.below_refl @t1 @t115 @t11)))))))))))) % 43.64/44.02 (assume @p558 (forall @t15 (=> @t12 (= (tptp.apply @t121 @t11) @t11)))) % 43.64/44.02 (assume @p559 (forall @t15 (tptp.subset @t278 @t1))) % 43.64/44.02 (assume @p560 (forall @t6 (=> @t67 (and (= @t281 (tptp.relation_dom @t295)) (= @t147 (tptp.relation_rng @t295)))))) % 43.64/44.02 (assume @p561 (forall @t51 (= (tptp.subset @t96 @t45) (and @t445 @t259)))) % 43.64/44.02 (assume @p562 (forall @t15 (=> @t123 (=> (and @t436 (tptp.subset @t1 @t229)) @t619)))) % 43.64/44.02 (assume @p563 (forall @t15 (= @t629 @t98))) % 43.64/44.02 (assume @p564 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 43.64/44.02 (assume @p565 (forall @t6 (and (tptp.lower_bounded_semilattstr @t202) (= (tptp.bottom_of_semilattstr @t202) tptp.empty_set)))) % 43.64/44.02 (assume @p566 (forall @t51 (not (and @t14 @t259 @t117)))) % 43.64/44.02 (assume @p567 @t630) % 43.64/44.02 (assume @p568 (forall @t6 (tptp.transitive @t230))) % 43.64/44.02 (assume @p569 (forall @t15 (and (not (and @t632 (forall @t90 (not @t631)))) (not (and (exists @t90 @t631) @t300))))) % 43.64/44.02 (assume @p570 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t197))) % 43.64/44.02 (assume @p571 (forall @t15 (= (tptp.set_difference @t98 @t11) @t278))) % 43.64/44.02 (assume @p572 (forall @t6 (=> @t40 (= @t284 (forall @t20 (=> @t37 (=> @t12 (tptp.in @t566 @t1)))))))) % 43.64/44.02 (assume @p573 (forall @t6 (=> @t40 (and (not (and (not @t284) (forall @t20 (=> @t37 (not @t633))))) (not (and (exists @t20 (and @t37 @t633)) @t284)))))) % 43.64/44.02 (assume @p574 (forall @t6 (=> @t634 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 43.64/44.02 (assume @p575 (forall @t15 (=> @t33 (forall @t90 (=> @t110 (= @t636 (tptp.subset @t11 @t635))))))) % 43.64/44.02 (assume @p576 (forall @t6 (=> @t420 (forall @t20 (=> @t215 (=> @t244 (tptp.closed_subset @t586 @t1))))))) % 43.64/44.02 (assume @p577 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (tptp.subset @t637 @t147)))))) % 43.64/44.02 (assume @p578 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (tptp.subset @t224 @t11)))))) % 43.64/44.02 (assume @p579 (forall @t6 (=> @t634 (forall @t20 (=> @t101 (tptp.related @t1 @t145 @t11)))))) % 43.64/44.02 (assume @p580 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (forall @t90 (=> (tptp.in @t45 @t3) (= (tptp.in @t45 @t166) (forall @t130 (=> @t577 (=> @t638 @t219))))))))))) % 43.64/44.02 (assume @p581 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (tptp.subset @t597 @t192)))))) % 43.64/44.02 (assume @p582 (forall @t15 (=> @t125 (= @t11 @t629)))) % 43.64/44.02 (assume @p583 (forall @t190 (=> @t616 (=> @t235 (forall @t148 (= (tptp.in @t138 (tptp.relation_inverse_image @t115 @t45)) (and @t153 (tptp.in (tptp.apply @t115 @t138) @t45)))))))) % 43.64/44.02 (assume @p584 (forall @t6 (=> @t420 (forall @t20 (=> @t168 (exists @t90 (and @t252 (forall @t130 (=> @t577 (= @t149 @t638))) (= @t166 (tptp.meet_of_subsets @t3 @t45))))))))) % 43.64/44.02 (assume @p585 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> (tptp.subset @t281 @t191) (= @t637 @t147))))))) % 43.64/44.02 (assume @p586 (forall @t15 (=> @t314 @t579))) % 43.64/44.02 (assume @p587 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> (tptp.subset @t147 @t192) (= (tptp.relation_rng @t379) @t281))))))) % 43.64/44.02 (assume @p588 (forall @t15 (=> @t314 (=> @t235 (= (tptp.subset_difference @t1 @t272 @t360) @t581))))) % 43.64/44.02 (assume @p589 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (tptp.subset @t11 @t166)))))) % 43.64/44.02 (assume @p590 (forall @t15 (=> @t314 (=> @t235 (= @t582 (tptp.subset_difference @t1 @t272 @t363)))))) % 43.64/44.02 (assume @p591 (forall @t15 (= (tptp.set_difference @t1 @t278) @t105))) % 43.64/44.02 (assume @p592 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t299 (=> @t298 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t45)))))))))) % 43.64/44.02 (assume @p593 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 43.64/44.02 (assume @p594 (forall @t51 (=> (and @t14 @t639) (tptp.element @t1 @t45)))) % 43.64/44.02 (assume @p595 (forall @t6 (=> @t40 (tptp.connected @t230)))) % 43.64/44.02 (assume @p596 (forall @t15 (and (not (and @t632 (forall @t90 (not @t640)))) (not (and (exists @t90 @t640) @t300))))) % 43.64/44.02 (assume @p597 (forall @t6 (=> @t232 (and @t59 @t61 @t162 @t10 (= @t181 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 43.64/44.02 (assume @p598 (forall @t6 (=> @t221 (forall @t20 (=> @t33 (forall @t90 (=> @t342 (=> @t257 (tptp.in @t45 @t286))))))))) % 43.64/44.02 (assume @p599 (forall @t6 (=> @t420 (forall @t20 (=> @t168 @t424))))) % 43.64/44.02 (assume @p600 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (and (=> @t292 @t641) (=> (and @t185 @t641) @t292))))))) % 43.64/44.02 (assume @p601 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t299 (=> @t298 (and (=> @t66 @t87) (=> @t68 @t412) (=> @t178 @t617) (=> @t156 @t413) (=> @t246 @t628)))))))))) % 43.64/44.02 (assume @p602 (forall @t6 (=> @t152 (=> @t75 (forall @t20 (=> @t419 (= (= @t11 @t316) (and (= @t191 @t281) (forall @t120 (and (=> @t642 @t280) (=> @t280 @t642))))))))))) % 43.64/44.02 (assume @p603 (forall @t51 (=> @t110 (not (and (tptp.in @t11 @t635) @t259))))) % 43.64/44.02 (assume @p604 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t299 (=> (and @t273 @t298) @t436)))))))) % 43.64/44.02 (assume @p605 (forall @t6 (=> @t152 (=> @t75 (and (= @t281 (tptp.relation_dom @t316)) (= @t147 (tptp.relation_rng @t316))))))) % 43.64/44.02 (assume @p606 (forall @t6 (=> @t420 (forall @t20 (=> (tptp.top_str @t11) (forall @t90 (=> @t167 (forall @t130 (=> (tptp.element @t115 (tptp.powerset @t171)) (and (=> (tptp.open_subset @t115 @t11) (= (tptp.interior @t11 @t115) @t115)) (=> (= @t183 @t45) @t225))))))))))) % 43.64/44.02 (assume @p607 (forall @t6 (=> @t67 (=> (forall @t135 @t442) @t197)))) % 43.64/44.02 (assume @p608 (forall @t15 (=> @t419 (=> (and @t85 (tptp.in @t1 @t192)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t643 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t643 @t11) @t1))))))) % 43.64/44.02 (assume @p609 (forall @t6 (=> @t186 (forall @t20 (=> @t168 (forall @t90 (=> @t100 (=> (and @t285 @t216) (tptp.point_neighbourhood @t11 @t1 @t45))))))))) % 43.64/44.02 (assume @p610 (forall @t51 (not (and @t14 @t639 @t93)))) % 43.64/44.02 (assume @p611 (forall @t15 (=> @t33 (= @t449 (not (= @t11 @t1)))))) % 43.64/44.02 (assume @p612 (forall @t6 (=> @t391 (forall @t20 (=> @t215 (not (and @t253 @t198))))))) % 43.64/44.02 (assume @p613 (forall @t6 (=> @t67 (= @t246 (tptp.is_well_founded_in @t1 @t155))))) % 43.64/44.02 (assume @p614 (forall @t6 (tptp.antisymmetric @t230))) % 43.64/44.02 (assume @p615 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 43.64/44.02 (assume @p616 (forall @t15 (not (and @t125 @t16)))) % 43.64/44.02 (assume @p617 @t661) % 43.64/44.02 (assume @p618 (forall @t6 (=> @t152 (=> @t75 (tptp.one_to_one @t316))))) % 43.64/44.02 (assume @p619 (forall @t51 (=> (and @t125 @t636) (tptp.disjoint @t1 @t45)))) % 43.64/44.02 (assume @p620 (forall @t6 (=> @t67 (=> (or @t663 @t662) @t197)))) % 43.64/44.02 (assume @p621 (forall @t6 (=> @t67 (= @t663 @t662)))) % 43.64/44.02 (assume @p622 (forall @t15 (= (= (tptp.set_difference @t1 @t443) @t1) @t13))) % 43.64/44.02 (assume @p623 (forall @t15 (=> @t419 (forall @t90 (=> @t299 (= (= @t11 @t447) (and (= @t191 (tptp.set_intersection2 @t275 @t1)) (forall @t130 (=> (tptp.in @t115 @t191) (= (tptp.apply @t11 @t115) @t297)))))))))) % 43.64/44.02 (assume @p624 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t209))) % 43.64/44.02 (assume @p625 (forall @t6 (=> @t30 @t197))) % 43.64/44.02 (assume @p626 (forall @t190 (=> @t616 (=> @t117 (or @t198 (tptp.in @t615 @t594)))))) % 43.64/44.02 (assume @p627 (forall @t6 (=> @t40 (tptp.well_founded_relation @t230)))) % 43.64/44.02 (assume @p628 (forall @t6 (=> @t5 (forall @t20 (=> @t101 (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t11) (tptp.relstr_element_smaller @t1 tptp.empty_set @t11))))))) % 43.64/44.02 (assume @p629 (forall @t15 (=> (tptp.subset @t209 @t443) @t126))) % 43.64/44.02 (assume @p630 (forall @t51 (=> @t299 (=> @t448 @t664)))) % 43.64/44.02 (assume @p631 (forall @t6 (and (= (tptp.relation_dom @t121) @t1) (= (tptp.relation_rng @t121) @t1)))) % 43.64/44.02 (assume @p632 (forall @t51 (=> @t299 (=> @t12 @t664)))) % 43.64/44.02 (assume @p633 (forall @t190 (=> @t518 (= (tptp.in @t287 (tptp.relation_composition (tptp.identity_relation @t45) @t115)) (and @t445 (tptp.in @t287 @t115)))))) % 43.64/44.02 (assume @p634 (forall @t15 (not (and @t14 @t91)))) % 43.64/44.02 (assume @p635 (forall @t6 (=> @t238 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t453 (tptp.related_reflexive @t237 @t255 (tptp.cast_to_el_of_LattPOSet @t1 @t45)))))))))) % 43.64/44.02 (assume @p636 (forall @t15 (and (= (tptp.pair_first @t287) @t1) (= (tptp.pair_second @t287) @t11)))) % 43.64/44.02 (assume @p637 (forall @t15 (not (and @t14 (forall @t90 (not (and @t216 (forall @t130 (not (and @t141 @t149)))))))))) % 43.64/44.02 (assume @p638 (forall @t6 (=> @t40 (tptp.well_ordering @t230)))) % 43.64/44.02 (assume @p639 (forall @t15 (tptp.subset @t1 @t98))) % 43.64/44.02 (assume @p640 (forall @t15 (= @t300 (= @t278 @t1)))) % 43.64/44.02 (assume @p641 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_dom @t587)) (and @t14 @t609))))) % 43.64/44.02 (assume @p642 (forall @t15 (=> @t123 (tptp.subset @t601 @t11)))) % 43.64/44.02 (assume @p643 (forall @t15 (not (and @t30 @t315 @t91)))) % 43.64/44.02 (assume @p644 (forall @t51 (=> @t299 (= @t610 (and @t609 (= @t11 @t612)))))) % 43.64/44.02 (assume @p645 (forall @t6 (=> @t67 (= (tptp.well_orders @t1 @t155) @t273)))) % 43.64/44.02 (assume @p646 (forall @t51 (=> (and @t125 @t251) (tptp.subset (tptp.set_union2 @t1 @t45) @t11)))) % 43.64/44.02 (assume @p647 (forall @t51 (=> @t665 @t126))) % 43.64/44.02 (assume @p648 (forall @t15 (=> @t123 (= (tptp.relation_dom @t601) @t591)))) % 43.64/44.02 (assume @p649 (forall @t6 (=> @t391 (forall @t20 (=> @t101 (= (tptp.apply_as_element @t3 @t3 @t136 @t11) @t11)))))) % 43.64/44.02 (assume @p650 (forall @t15 (=> @t123 (= @t601 (tptp.relation_composition @t121 @t11))))) % 43.64/44.02 (assume @p651 (forall @t15 (=> @t123 (tptp.subset (tptp.relation_rng @t601) @t192)))) % 43.64/44.02 (assume @p652 (forall @t6 (= (tptp.union @t32) @t1))) % 43.64/44.02 (assume @p653 (forall @t190 (=> @t616 (=> @t514 (or (and @t198 @t221) (and @t348 (tptp.quasi_total @t115 @t1 @t45) (tptp.relation_of2_as_subset @t115 @t1 @t45))))))) % 43.64/44.02 (assume @p654 (forall @t6 (exists @t20 (and @t14 @t585 (forall @t90 (not (and @t216 (forall @t130 (not (and @t141 (forall @t148 (=> (tptp.subset @t138 @t45) @t189)))))))) @t583)))) % 43.64/44.02 (assume @p655 (forall @t51 (=> @t665 @t206))) % 43.64/44.02 (step @p656 :rule aci_norm :args ((= @t672 @t670))) % 43.64/44.02 (step @p657 :rule cong :premises (@p656) :args (@t674)) % 43.64/44.02 (step @p658 :rule quant-merge-prenex :args ((= (forall @t15 @t676) @t674))) % 43.64/44.02 (step @p659 :rule alpha_equiv :args (@t677 (@list @t666) @t678)) % 43.64/44.02 (step @p660 :rule refl :args (@t669)) % 43.64/44.02 (step @p661 :rule nary_cong :premises (@p660 @p659) :args (@t679)) % 43.64/44.02 (step @p662 :rule quant-miniscope-or :args ((= @t676 @t679))) % 43.64/44.02 (step @p663 :rule trans :premises (@p662 @p661)) % 43.64/44.02 (step @p664 :rule symm :premises (@p663)) % 43.64/44.02 (step @p665 :rule cong :premises (@p664) :args ((forall @t15 (or @t669 @t680)))) % 43.64/44.02 (step @p666 :rule trans :premises (@p665 @p658)) % 43.64/44.02 (step @p667 :rule trans :premises (@p666 @p657)) % 43.64/44.02 (step @p668 :rule bool-impl-elim :args (@t33 @t680)) % 43.64/44.02 (step @p669 :rule cong :premises (@p668) :args ((forall @t15 (=> @t33 @t680)))) % 43.64/44.02 (step @p670 :rule trans :premises (@p669 @p667)) % 43.64/44.02 (step @p671 :rule bool-impl-elim :args (@t216 @t117)) % 43.64/44.02 (step @p672 :rule cong :premises (@p671) :args (@t437)) % 43.64/44.02 (step @p673 :rule refl :args (@t33)) % 43.64/44.02 (step @p674 :rule cong :premises (@p673 @p672) :args (@t438)) % 43.64/44.02 (step @p675 :rule cong :premises (@p674) :args (@t439)) % 43.64/44.02 (step @p676 :rule trans :premises (@p675 @p670)) % 43.64/44.02 (step @p677 :rule eq_resolve :premises (@p334 @p676)) % 43.64/44.02 (step @p678 :rule eq-symm :args (@t446 @t125)) % 43.64/44.02 (step @p679 :rule cong :premises (@p678) :args (@t630)) % 43.64/44.02 (step @p680 :rule eq_resolve :premises (@p567 @p679)) % 43.64/44.02 (step @p681 :rule instantiate :premises (@p680) :args ((@list @t699 @t697))) % 43.64/44.02 (step @p682 :rule aci_norm :args ((= @t704 (or @t692 @t702 @t701)))) % 43.64/44.02 (step @p683 :rule cong :premises (@p682) :args (@t705)) % 43.64/44.02 (step @p684 :rule quant-merge-prenex :args ((= (forall @t6 @t707) @t705))) % 43.64/44.02 (step @p685 :rule alpha_equiv :args (@t708 (@list @t700) @t709)) % 43.64/44.02 (step @p686 :rule refl :args (@t692)) % 43.64/44.02 (step @p687 :rule nary_cong :premises (@p686 @p685) :args (@t710)) % 43.64/44.02 (step @p688 :rule quant-miniscope-or :args ((= @t707 @t710))) % 43.64/44.02 (step @p689 :rule trans :premises (@p688 @p687)) % 43.64/44.02 (step @p690 :rule symm :premises (@p689)) % 43.64/44.02 (step @p691 :rule cong :premises (@p690) :args ((forall @t6 (or @t692 @t711)))) % 43.64/44.02 (step @p692 :rule trans :premises (@p691 @p684)) % 43.64/44.02 (step @p693 :rule trans :premises (@p692 @p683)) % 43.64/44.02 (step @p694 :rule bool-impl-elim :args (@t5 @t711)) % 43.64/44.02 (step @p695 :rule cong :premises (@p694) :args ((forall @t6 (=> @t5 @t711)))) % 43.64/44.02 (step @p696 :rule trans :premises (@p695 @p693)) % 43.64/44.02 (step @p697 :rule bool-impl-elim :args (@t174 @t173)) % 43.64/44.02 (step @p698 :rule cong :premises (@p697) :args (@t175)) % 43.64/44.02 (step @p699 :rule refl :args (@t5)) % 43.64/44.02 (step @p700 :rule cong :premises (@p699 @p698) :args (@t176)) % 43.64/44.02 (step @p701 :rule cong :premises (@p700) :args (@t177)) % 43.64/44.02 (step @p702 :rule trans :premises (@p701 @p696)) % 43.64/44.02 (step @p703 :rule eq_resolve :premises (@p64 @p702)) % 43.64/44.02 (step @p704 :rule instantiate :premises (@p703) :args (@t712)) % 43.64/44.02 (step @p705 :rule aci_norm :args ((= @t717 (or @t692 @t715 @t714)))) % 43.64/44.02 (step @p706 :rule cong :premises (@p705) :args (@t718)) % 43.64/44.02 (step @p707 :rule quant-merge-prenex :args ((= (forall @t6 @t720) @t718))) % 43.64/44.02 (step @p708 :rule alpha_equiv :args (@t721 (@list @t713) @t709)) % 43.64/44.02 (step @p709 :rule nary_cong :premises (@p686 @p708) :args (@t722)) % 43.64/44.02 (step @p710 :rule quant-miniscope-or :args ((= @t720 @t722))) % 43.64/44.02 (step @p711 :rule trans :premises (@p710 @p709)) % 43.64/44.02 (step @p712 :rule symm :premises (@p711)) % 43.64/44.02 (step @p713 :rule cong :premises (@p712) :args ((forall @t6 (or @t692 @t724)))) % 43.64/44.02 (step @p714 :rule trans :premises (@p713 @p707)) % 43.64/44.02 (step @p715 :rule trans :premises (@p714 @p706)) % 43.64/44.02 (step @p716 :rule bool-impl-elim :args (@t5 @t724)) % 43.64/44.02 (step @p717 :rule cong :premises (@p716) :args ((forall @t6 (=> @t5 @t724)))) % 43.64/44.02 (step @p718 :rule trans :premises (@p717 @p715)) % 43.64/44.02 (step @p719 :rule bool-impl-elim :args (@t172 @t174)) % 43.64/44.02 (step @p720 :rule cong :premises (@p719) :args (@t370)) % 43.64/44.02 (step @p721 :rule cong :premises (@p699 @p720) :args (@t371)) % 43.64/44.02 (step @p722 :rule cong :premises (@p721) :args (@t372)) % 43.64/44.02 (step @p723 :rule trans :premises (@p722 @p718)) % 43.64/44.02 (step @p724 :rule eq_resolve :premises (@p218 @p723)) % 43.64/44.02 (step @p725 :rule instantiate :premises (@p724) :args (@t712)) % 43.64/44.02 (step @p726 :rule aci_norm :args ((= @t726 @t693))) % 43.64/44.02 (step @p727 :rule cong :premises (@p726) :args (@t727)) % 43.64/44.02 (step @p728 :rule quant-merge-prenex :args ((= (forall @t6 @t729) @t727))) % 43.64/44.02 (step @p729 :rule alpha_equiv :args (@t730 (@list @t683 @t682 @t681) (@list @t11 @t732 @t731))) % 43.64/44.02 (step @p730 :rule nary_cong :premises (@p686 @p729) :args (@t733)) % 43.64/44.02 (step @p731 :rule quant-miniscope-or :args ((= @t729 @t733))) % 43.64/44.02 (step @p732 :rule trans :premises (@p731 @p730)) % 43.64/44.02 (step @p733 :rule symm :premises (@p732)) % 43.64/44.02 (step @p734 :rule cong :premises (@p733) :args ((forall @t6 (or @t692 @t742)))) % 43.64/44.02 (step @p735 :rule trans :premises (@p734 @p728)) % 43.64/44.02 (step @p736 :rule trans :premises (@p735 @p727)) % 43.64/44.02 (step @p737 :rule bool-impl-elim :args (@t5 @t742)) % 43.64/44.02 (step @p738 :rule cong :premises (@p737) :args ((forall @t6 (=> @t5 @t742)))) % 43.64/44.02 (step @p739 :rule trans :premises (@p738 @p736)) % 43.64/44.02 (step @p740 :rule aci_norm :args ((= @t744 @t740))) % 43.64/44.02 (step @p741 :rule cong :premises (@p740) :args (@t745)) % 43.64/44.02 (step @p742 :rule quant-merge-prenex :args ((= (forall @t20 @t747) @t745))) % 43.64/44.02 (step @p743 :rule alpha_equiv :args (@t748 (@list @t732 @t731) (@list @t45 @t749))) % 43.64/44.02 (step @p744 :rule refl :args (@t723)) % 43.64/44.02 (step @p745 :rule nary_cong :premises (@p744 @p743) :args (@t750)) % 43.64/44.02 (step @p746 :rule quant-miniscope-or :args ((= @t747 @t750))) % 43.64/44.02 (step @p747 :rule trans :premises (@p746 @p745)) % 43.64/44.02 (step @p748 :rule symm :premises (@p747)) % 43.64/44.02 (step @p749 :rule cong :premises (@p748) :args ((forall @t20 (or @t723 @t759)))) % 43.64/44.02 (step @p750 :rule trans :premises (@p749 @p742)) % 43.64/44.02 (step @p751 :rule trans :premises (@p750 @p741)) % 43.64/44.02 (step @p752 :rule bool-impl-elim :args (@t172 @t759)) % 43.64/44.02 (step @p753 :rule cong :premises (@p752) :args ((forall @t20 (=> @t172 @t759)))) % 43.64/44.02 (step @p754 :rule trans :premises (@p753 @p751)) % 43.64/44.02 (step @p755 :rule aci_norm :args ((= @t761 @t757))) % 43.64/44.02 (step @p756 :rule cong :premises (@p755) :args (@t762)) % 43.64/44.02 (step @p757 :rule quant-merge-prenex :args ((= (forall @t90 @t764) @t762))) % 43.64/44.02 (step @p758 :rule alpha_equiv :args (@t765 (@list @t749) (@list @t115))) % 43.64/44.02 (step @p759 :rule refl :args (@t755)) % 43.64/44.02 (step @p760 :rule refl :args (@t756)) % 43.64/44.02 (step @p761 :rule nary_cong :premises (@p760 @p759 @p758) :args (@t766)) % 43.64/44.02 (step @p762 :rule quant-miniscope-or :args ((= @t764 @t766))) % 43.64/44.02 (step @p763 :rule trans :premises (@p762 @p761)) % 43.64/44.02 (step @p764 :rule symm :premises (@p763)) % 43.64/44.02 (step @p765 :rule cong :premises (@p764) :args ((forall @t90 @t772))) % 43.64/44.02 (step @p766 :rule trans :premises (@p765 @p757)) % 43.64/44.02 (step @p767 :rule trans :premises (@p766 @p756)) % 43.64/44.02 (step @p768 :rule aci_norm :args ((= (or @t756 @t773) @t772))) % 43.64/44.02 (step @p769 :rule bool-impl-elim :args (@t100 @t773)) % 43.64/44.02 (step @p770 :rule trans :premises (@p769 @p768)) % 43.64/44.02 (step @p771 :rule cong :premises (@p770) :args ((forall @t90 (=> @t100 @t773)))) % 43.64/44.02 (step @p772 :rule trans :premises (@p771 @p767)) % 43.64/44.02 (step @p773 :rule quant-miniscope-or :args ((= (forall @t130 @t774) @t773))) % 43.64/44.02 (step @p774 :rule aci_norm :args ((= @t775 @t774))) % 43.64/44.02 (step @p775 :rule cong :premises (@p774) :args ((forall @t130 @t775))) % 43.64/44.02 (step @p776 :rule trans :premises (@p775 @p773)) % 43.64/44.02 (step @p777 :rule aci_norm :args ((= (or @t769 @t776) @t775))) % 43.64/44.02 (step @p778 :rule bool-impl-elim :args (@t129 @t776)) % 43.64/44.02 (step @p779 :rule trans :premises (@p778 @p777)) % 43.64/44.02 (step @p780 :rule cong :premises (@p779) :args ((forall @t130 (=> @t129 @t776)))) % 43.64/44.02 (step @p781 :rule trans :premises (@p780 @p776)) % 43.64/44.02 (step @p782 :rule aci_norm :args ((= (or @t304 @t768 @t777) @t776))) % 43.64/44.02 (step @p783 :rule aci_norm :args ((= (or @t755 false @t767) @t777))) % 43.64/44.02 (step @p784 :rule refl :args (@t767)) % 43.64/44.02 (step @p785 :rule evaluate :args ((not true))) % 43.64/44.02 (step @p786 :rule eq-refl :args (@t45)) % 43.64/44.02 (step @p787 :rule cong :premises (@p786) :args (@t778)) % 43.64/44.02 (step @p788 :rule trans :premises (@p787 @p785)) % 43.64/44.02 (step @p789 :rule refl :args (@t755)) % 43.64/44.02 (step @p790 :rule nary_cong :premises (@p789 @p788 @p784) :args (@t779)) % 43.64/44.02 (step @p791 :rule trans :premises (@p790 @p783)) % 43.64/44.02 (step @p792 :rule quant-var-elim-eq :args ((= (forall @t148 (or @t188 @t782 @t781 @t780)) @t779))) % 43.64/44.02 (step @p793 :rule refl :args (@t780)) % 43.64/44.02 (step @p794 :rule refl :args (@t781)) % 43.64/44.02 (step @p795 :rule refl :args (@t782)) % 43.64/44.02 (step @p796 :rule eq-symm :args (@t45 @t138)) % 43.64/44.02 (step @p797 :rule cong :premises (@p796) :args (@t781)) % 43.64/44.02 (step @p798 :rule nary_cong :premises (@p797 @p795 @p794 @p793) :args (@t783)) % 43.64/44.02 (step @p799 :rule aci_norm :args ((= @t784 @t783))) % 43.64/44.02 (step @p800 :rule trans :premises (@p799 @p798)) % 43.64/44.02 (step @p801 :rule cong :premises (@p800) :args (@t785)) % 43.64/44.02 (step @p802 :rule trans :premises (@p801 @p792)) % 43.64/44.02 (step @p803 :rule trans :premises (@p802 @p791)) % 43.64/44.02 (step @p804 :rule refl :args (@t768)) % 43.64/44.02 (step @p805 :rule refl :args (@t304)) % 43.64/44.02 (step @p806 :rule nary_cong :premises (@p805 @p804 @p803) :args (@t786)) % 43.64/44.02 (step @p807 :rule trans :premises (@p806 @p782)) % 43.64/44.02 (step @p808 :rule quant-miniscope-or :args ((= (forall @t148 @t787) @t786))) % 43.64/44.02 (step @p809 :rule aci_norm :args ((= @t788 @t787))) % 43.64/44.02 (step @p810 :rule cong :premises (@p809) 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(step @p909 :rule cnf_or_pos :args (@t829)) % 43.64/44.02 (step @p910 :rule reordering :premises (@p909) :args ((or @t824 @t822 @t828 (not @t829)))) % 43.64/44.02 (step @p911 :rule chain_m_resolution :premises (@p910 @p908 @p902 @p725) :args (@t828 @t830 (@list @t823 @t806 @t829))) % 43.64/44.02 (step @p912 :rule cnf_or_pos :args (@t835)) % 43.64/44.02 (step @p913 :rule reordering :premises (@p912) :args ((or @t824 @t834 @t833 (not @t835)))) % 43.64/44.02 (step @p914 :rule chain_m_resolution :premises (@p913 @p908 @p911 @p704) :args (@t833 @t830 (@list @t823 @t828 @t835))) % 43.64/44.02 (step @p915 :rule cnf_equiv_pos1 :args (@t833)) % 43.64/44.02 (step @p916 :rule reordering :premises (@p915) :args ((or @t822 @t832 (not @t833)))) % 43.64/44.02 (step @p917 :rule chain_m_resolution :premises (@p916 @p902 @p914) :args (@t832 @t836 (@list @t806 @t833))) % 43.64/44.02 (step @p918 :rule cnf_and_pos :args (@t832 1)) % 43.64/44.02 (step @p919 :rule reordering :premises (@p918) :args ((or @t831 (not @t832)))) % 43.64/44.02 (step @p920 :rule chain_m_resolution :premises (@p919 @p917) :args (@t831 (@list false) (@list @t832))) % 43.64/44.02 (step @p921 :rule cnf_equiv_pos1 :args (@t838)) % 43.64/44.02 (step @p922 :rule reordering :premises (@p921) :args ((or (not @t831) @t837 (not @t838)))) % 43.64/44.02 (step @p923 :rule chain_m_resolution :premises (@p922 @p920 @p681) :args (@t837 @t836 (@list @t831 @t838))) % 43.64/44.02 (step @p924 :rule aci_norm :args ((= @t845 (or @t692 @t843 @t842 @t841)))) % 43.64/44.02 (step @p925 :rule cong :premises (@p924) :args (@t846)) % 43.64/44.02 (step @p926 :rule quant-merge-prenex :args ((= (forall @t6 @t848) @t846))) % 43.64/44.02 (step @p927 :rule alpha_equiv :args (@t849 (@list @t840 @t839) (@list @t11 @t850))) % 43.64/44.02 (step @p928 :rule nary_cong :premises (@p686 @p927) :args (@t851)) % 43.64/44.02 (step @p929 :rule quant-miniscope-or :args ((= @t848 @t851))) % 43.64/44.02 (step @p930 :rule trans :premises (@p929 @p928)) % 43.64/44.02 (step @p931 :rule symm :premises (@p930)) % 43.64/44.02 (step @p932 :rule cong :premises (@p931) :args ((forall @t6 (or @t692 @t857)))) % 43.64/44.02 (step @p933 :rule trans :premises (@p932 @p926)) % 43.64/44.02 (step @p934 :rule trans :premises (@p933 @p925)) % 43.64/44.02 (step @p935 :rule bool-impl-elim :args (@t5 @t857)) % 43.64/44.02 (step @p936 :rule cong :premises (@p935) :args ((forall @t6 (=> @t5 @t857)))) % 43.64/44.02 (step @p937 :rule trans :premises (@p936 @p934)) % 43.64/44.02 (step @p938 :rule aci_norm :args ((= @t859 @t855))) % 43.64/44.02 (step @p939 :rule cong :premises (@p938) :args (@t860)) % 43.64/44.02 (step @p940 :rule quant-merge-prenex :args ((= (forall @t20 @t862) @t860))) % 43.64/44.02 (step @p941 :rule alpha_equiv :args (@t863 (@list @t850) @t678)) % 43.64/44.02 (step @p942 :rule refl :args (@t854)) % 43.64/44.02 (step @p943 :rule nary_cong :premises (@p942 @p941) :args (@t864)) % 43.64/44.02 (step @p944 :rule quant-miniscope-or :args ((= @t862 @t864))) % 43.64/44.02 (step @p945 :rule trans :premises (@p944 @p943)) % 43.64/44.02 (step @p946 :rule symm :premises (@p945)) % 43.64/44.02 (step @p947 :rule cong :premises (@p946) :args ((forall @t20 (or @t854 @t865)))) % 43.64/44.02 (step @p948 :rule trans :premises (@p947 @p940)) % 43.64/44.02 (step @p949 :rule trans :premises (@p948 @p939)) % 43.64/44.02 (step @p950 :rule bool-impl-elim :args (@t101 @t865)) % 43.64/44.02 (step @p951 :rule cong :premises (@p950) :args ((forall @t20 (=> @t101 @t865)))) % 43.64/44.02 (step @p952 :rule trans :premises (@p951 @p949)) % 43.64/44.02 (step @p953 :rule bool-impl-elim :args (@t100 @t318)) % 43.64/44.02 (step @p954 :rule cong :premises (@p953) :args (@t319)) % 43.64/44.02 (step @p955 :rule refl :args (@t101)) % 43.64/44.02 (step @p956 :rule cong :premises (@p955 @p954) :args (@t320)) % 43.64/44.02 (step @p957 :rule cong :premises (@p956) :args (@t321)) % 43.64/44.02 (step @p958 :rule trans :premises (@p957 @p952)) % 43.64/44.02 (step @p959 :rule cong :premises (@p699 @p958) :args (@t322)) % 43.64/44.02 (step @p960 :rule cong :premises (@p959) :args (@t323)) % 43.64/44.02 (step @p961 :rule trans :premises (@p960 @p937)) % 43.64/44.02 (step @p962 :rule eq_resolve :premises (@p160 @p961)) % 43.64/44.02 (step @p963 :rule instantiate :premises (@p962) :args ((@list @t698 @t808 @t807))) % 43.64/44.02 (step @p964 :rule bool-double-not-elim :args (@t812)) % 43.64/44.02 (step @p965 :rule nary_cong :premises (@p897 @p964) :args ((or @t825 (not @t813)))) % 43.64/44.02 (step @p966 :rule cnf_or_neg :args (@t825 6)) % 43.64/44.02 (step @p967 :rule eq_resolve :premises (@p966 @p965)) % 43.64/44.02 (step @p968 :rule reordering :premises (@p967) :args ((or @t812 @t825))) % 43.64/44.02 (step @p969 :rule chain_m_resolution :premises (@p968 @p895) :args (@t812 @t826 @t827)) % 43.64/44.02 (step @p970 :rule bool-double-not-elim :args (@t818)) % 43.64/44.02 (step @p971 :rule nary_cong :premises (@p897 @p970) :args ((or @t825 (not @t819)))) % 43.64/44.02 (step @p972 :rule cnf_or_neg :args (@t825 3)) % 43.64/44.02 (step @p973 :rule eq_resolve :premises (@p972 @p971)) % 43.64/44.02 (step @p974 :rule reordering :premises (@p973) :args ((or @t818 @t825))) % 43.64/44.02 (step @p975 :rule chain_m_resolution :premises (@p974 @p895) :args (@t818 @t826 @t827)) % 43.64/44.02 (step @p976 :rule cnf_or_pos :args (@t869)) % 43.64/44.02 (step @p977 :rule reordering :premises (@p976) :args ((or @t819 @t813 @t834 @t868 (not @t869)))) % 43.64/44.02 (step @p978 :rule chain_m_resolution :premises (@p977 @p975 @p969 @p911 @p963) :args (@t868 @t870 (@list @t818 @t812 @t828 @t869))) % 43.64/44.02 (step @p979 :rule bool-double-not-elim :args (@t809)) % 43.64/44.02 (step @p980 :rule nary_cong :premises (@p897 @p979) :args ((or @t825 (not @t810)))) % 43.64/44.02 (step @p981 :rule cnf_or_neg :args (@t825 7)) % 43.64/44.02 (step @p982 :rule eq_resolve :premises (@p981 @p980)) % 43.64/44.02 (step @p983 :rule reordering :premises (@p982) :args ((or @t809 @t825))) % 43.64/44.02 (step @p984 :rule chain_m_resolution :premises (@p983 @p895) :args (@t809 @t826 @t827)) % 43.64/44.02 (step @p985 :rule cnf_equiv_pos1 :args (@t868)) % 43.64/44.02 (step @p986 :rule reordering :premises (@p985) :args ((or @t810 @t867 (not @t868)))) % 43.64/44.02 (step @p987 :rule chain_m_resolution :premises (@p986 @p984 @p978) :args (@t867 @t836 (@list @t809 @t868))) % 43.64/44.02 (step @p988 :rule instantiate :premises (@p962) :args ((@list @t696 @t808 @t807))) % 43.64/44.02 (step @p989 :rule bool-double-not-elim :args (@t816)) % 43.64/44.02 (step @p990 :rule nary_cong :premises (@p897 @p989) :args ((or @t825 (not @t817)))) % 43.64/44.02 (step @p991 :rule cnf_or_neg :args (@t825 4)) % 43.64/44.02 (step @p992 :rule eq_resolve :premises (@p991 @p990)) % 43.64/44.02 (step @p993 :rule reordering :premises (@p992) :args ((or @t816 @t825))) % 43.64/44.02 (step @p994 :rule chain_m_resolution :premises (@p993 @p895) :args (@t816 @t826 @t827)) % 43.64/44.02 (step @p995 :rule bool-double-not-elim :args (@t820)) % 43.64/44.02 (step @p996 :rule nary_cong :premises (@p897 @p995) :args ((or @t825 (not @t821)))) % 43.64/44.02 (step @p997 :rule cnf_or_neg :args (@t825 2)) % 43.64/44.02 (step @p998 :rule eq_resolve :premises (@p997 @p996)) % 34.30/44.03 (step @p999 :rule reordering :premises (@p998) :args ((or @t820 @t825))) % 34.30/44.03 (step @p1000 :rule chain_m_resolution :premises (@p999 @p895) :args (@t820 @t826 @t827)) % 34.30/44.03 (step @p1001 :rule cnf_or_pos :args (@t873)) % 34.30/44.03 (step @p1002 :rule reordering :premises (@p1001) :args ((or @t824 @t821 @t817 @t872 (not @t873)))) % 34.30/44.03 (step @p1003 :rule chain_m_resolution :premises (@p1002 @p908 @p1000 @p994 @p988) :args (@t872 @t870 (@list @t823 @t820 @t816 @t873))) % 34.30/44.03 (step @p1004 :rule cnf_or_neg :args (@t825 5)) % 34.30/44.03 (step @p1005 :rule chain_m_resolution :premises (@p1004 @p895) :args ((not @t814) @t826 @t827)) % 34.30/44.03 (step @p1006 :rule cnf_equiv_pos2 :args (@t872)) % 34.30/44.03 (step @p1007 :rule reordering :premises (@p1006) :args ((or @t814 @t874 (not @t872)))) % 34.30/44.03 (step @p1008 :rule chain_m_resolution :premises (@p1007 @p1005 @p1003) :args (@t874 @t875 (@list @t814 @t872))) % 34.30/44.03 (step @p1009 :rule cnf_or_pos :args (@t878)) % 34.30/44.03 (step @p1010 :rule reordering :premises (@p1009) :args ((or @t871 @t876 @t877 @t879))) % 34.30/44.03 (step @p1011 :rule chain_m_resolution :premises (@p1010 @p1008 @p987 @p923) :args (@t879 (@list true false false) (@list @t871 @t867 @t837))) % 34.30/44.03 (assume-push @p1018 @t880) % 34.30/44.03 (step @p1013 :rule instantiate :premises (@p677) :args ((@list @t697 @t699 @t866))) % 34.30/44.03 (step-pop @p1019 :rule scope :premises (@p1013)) % 34.30/44.03 (step @p1014 :rule process_scope :premises (@p1019) :args (@t878)) % 34.30/44.03 (step @p1016 :rule implies_elim :premises (@p1014)) % 34.30/44.03 (step @p1017 false :rule chain_m_resolution :premises (@p1016 @p1011 @p677) :args (false @t875 (@list @t878 @t880))) % 34.30/44.03 ) % 34.30/44.03 % SZS output end Proof % 34.30/44.03 % cvc5 exiting %------------------------------------------------------------------------------