%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU346+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 : n023.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 08:51:28 AM UTC 2026 % Result : Theorem 60.71s 60.95s % Output : Proof 60.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU346+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:00:43 EDT 2026 % 0.15/0.34 % CPUTime : % 0.38/0.65 %----Proving TF0_NAR, FOF, or CNF % 60.71/60.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 60.71/60.95 --- Run --no-e-matching --full-saturate-quant at 6... % 60.71/60.95 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 60.71/60.95 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 60.71/60.95 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 60.71/60.95 % SZS status Theorem % 60.71/60.95 % SZS output start Proof % 60.71/60.95 ( % 60.71/60.95 (declare-sort $$unsorted 0) % 60.71/60.95 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.empty_set $$unsorted) % 60.71/60.95 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.omega $$unsorted) % 60.71/60.95 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.top_str (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.function (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.connected (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.lattice (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.natural (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.empty (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.centered (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.finite (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.relation (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.transitive (-> $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 60.71/60.95 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 60.71/60.95 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 60.71/60.95 (define @t1 () (@var "A" $$unsorted)) % 60.71/60.95 (define @t2 () (tptp.the_InternalRel @t1)) % 60.71/60.95 (define @t3 () (tptp.the_carrier @t1)) % 60.71/60.95 (define @t4 () (= @t1 (tptp.rel_str_of @t3 @t2))) % 60.71/60.95 (define @t5 () (tptp.strict_rel_str @t1)) % 60.71/60.95 (define @t6 () (=> @t5 @t4)) % 60.71/60.95 (define @t7 () (tptp.rel_str @t1)) % 60.71/60.95 (define @t8 () (@list @t1)) % 60.71/60.95 (define @t9 () (forall @t8 (=> @t7 @t6))) % 60.71/60.95 (define @t10 () (tptp.the_L_meet @t1)) % 60.71/60.95 (define @t11 () (tptp.the_L_join @t1)) % 60.71/60.95 (define @t12 () (tptp.strict_latt_str @t1)) % 60.71/60.95 (define @t13 () (tptp.latt_str @t1)) % 60.71/60.95 (define @t14 () (@var "B" $$unsorted)) % 60.71/60.95 (define @t15 () (tptp.in @t14 @t1)) % 60.71/60.95 (define @t16 () (not @t15)) % 60.71/60.95 (define @t17 () (tptp.in @t1 @t14)) % 60.71/60.95 (define @t18 () (@list @t1 @t14)) % 60.71/60.95 (define @t19 () (tptp.proper_subset @t14 @t1)) % 60.71/60.95 (define @t20 () (tptp.proper_subset @t1 @t14)) % 60.71/60.95 (define @t21 () (tptp.v1_xcmplx_0 @t14)) % 60.71/60.95 (define @t22 () (tptp.element @t14 @t1)) % 60.71/60.95 (define @t23 () (@list @t14)) % 60.71/60.95 (define @t24 () (tptp.v1_membered @t1)) % 60.71/60.95 (define @t25 () (tptp.v1_xreal_0 @t14)) % 60.71/60.95 (define @t26 () (tptp.v2_membered @t1)) % 60.71/60.95 (define @t27 () (tptp.v1_rat_1 @t14)) % 60.71/60.95 (define @t28 () (tptp.v3_membered @t1)) % 60.71/60.95 (define @t29 () (tptp.v1_int_1 @t14)) % 60.71/60.95 (define @t30 () (tptp.v4_membered @t1)) % 60.71/60.95 (define @t31 () (tptp.natural @t14)) % 60.71/60.95 (define @t32 () (tptp.v5_membered @t1)) % 60.71/60.95 (define @t33 () (tptp.empty @t1)) % 60.71/60.95 (define @t34 () (tptp.v1_membered @t14)) % 60.71/60.95 (define @t35 () (tptp.powerset @t1)) % 60.71/60.95 (define @t36 () (tptp.element @t14 @t35)) % 60.71/60.95 (define @t37 () (tptp.v2_membered @t14)) % 60.71/60.95 (define @t38 () (tptp.v3_membered @t14)) % 60.71/60.95 (define @t39 () (tptp.v4_membered @t14)) % 60.71/60.95 (define @t40 () (tptp.ordinal @t14)) % 60.71/60.95 (define @t41 () (tptp.epsilon_connected @t14)) % 60.71/60.95 (define @t42 () (tptp.epsilon_transitive @t14)) % 60.71/60.95 (define @t43 () (tptp.ordinal @t1)) % 60.71/60.95 (define @t44 () (tptp.finite @t1)) % 60.71/60.95 (define @t45 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 60.71/60.95 (define @t46 () (tptp.preboolean @t1)) % 60.71/60.95 (define @t47 () (tptp.function @t1)) % 60.71/60.95 (define @t48 () (tptp.join_absorbing @t1)) % 60.71/60.95 (define @t49 () (tptp.meet_absorbing @t1)) % 60.71/60.95 (define @t50 () (tptp.meet_associative @t1)) % 60.71/60.95 (define @t51 () (tptp.meet_commutative @t1)) % 60.71/60.95 (define @t52 () (tptp.join_associative @t1)) % 60.71/60.95 (define @t53 () (tptp.join_commutative @t1)) % 60.71/60.95 (define @t54 () (tptp.empty_carrier @t1)) % 60.71/60.95 (define @t55 () (not @t54)) % 60.71/60.95 (define @t56 () (and @t55 @t53 @t52 @t51 @t50 @t49 @t48)) % 60.71/60.95 (define @t57 () (tptp.lattice @t1)) % 60.71/60.95 (define @t58 () (and @t55 @t57)) % 60.71/60.95 (define @t59 () (tptp.epsilon_connected @t1)) % 60.71/60.95 (define @t60 () (tptp.epsilon_transitive @t1)) % 60.71/60.95 (define @t61 () (and @t60 @t59)) % 60.71/60.95 (define @t62 () (tptp.relation @t1)) % 60.71/60.95 (define @t63 () (@var "C" $$unsorted)) % 60.71/60.95 (define @t64 () (tptp.relation @t63)) % 60.71/60.95 (define @t65 () (tptp.cartesian_product2 @t1 @t14)) % 60.71/60.95 (define @t66 () (tptp.element @t63 (tptp.powerset @t65))) % 60.71/60.95 (define @t67 () (@list @t1 @t14 @t63)) % 60.71/60.95 (define @t68 () (tptp.natural @t1)) % 60.71/60.95 (define @t69 () (and @t60 @t59 @t43 @t68)) % 60.71/60.95 (define @t70 () (tptp.finite @t14)) % 60.71/60.95 (define @t71 () (tptp.one_to_one @t1)) % 60.71/60.95 (define @t72 () (and @t62 @t47 @t71)) % 60.71/60.95 (define @t73 () (and @t62 @t33 @t47)) % 60.71/60.95 (define @t74 () (and @t60 @t59 @t43)) % 60.71/60.95 (define @t75 () (tptp.unordered_pair @t1 @t14)) % 60.71/60.95 (define @t76 () (tptp.set_union2 @t14 @t1)) % 60.71/60.95 (define @t77 () (tptp.set_union2 @t1 @t14)) % 60.71/60.95 (define @t78 () (tptp.join_commut @t1 @t14 @t63)) % 60.71/60.95 (define @t79 () (tptp.element @t63 @t3)) % 60.71/60.95 (define @t80 () (tptp.element @t14 @t3)) % 60.71/60.95 (define @t81 () (tptp.join_semilatt_str @t1)) % 60.71/60.95 (define @t82 () (and @t55 @t53 @t81 @t80 @t79)) % 60.71/60.95 (define @t83 () (tptp.set_intersection2 @t14 @t1)) % 60.71/60.95 (define @t84 () (tptp.set_intersection2 @t1 @t14)) % 60.71/60.95 (define @t85 () (tptp.meet_commut @t1 @t14 @t63)) % 60.71/60.95 (define @t86 () (tptp.meet_semilatt_str @t1)) % 60.71/60.95 (define @t87 () (and @t55 @t51 @t86 @t80 @t79)) % 60.71/60.95 (define @t88 () (tptp.subset_union2 @t1 @t14 @t63)) % 60.71/60.95 (define @t89 () (tptp.element @t63 @t35)) % 60.71/60.95 (define @t90 () (and @t36 @t89)) % 60.71/60.95 (define @t91 () (tptp.subset_intersection2 @t1 @t14 @t63)) % 60.71/60.95 (define @t92 () (tptp.ordinal_subset @t1 @t14)) % 60.71/60.95 (define @t93 () (and @t43 @t40)) % 60.71/60.95 (define @t94 () (@var "D" $$unsorted)) % 60.71/60.95 (define @t95 () (= @t63 @t94)) % 60.71/60.95 (define @t96 () (tptp.in @t63 @t1)) % 60.71/60.95 (define @t97 () (tptp.ordered_pair @t63 @t94)) % 60.71/60.95 (define @t98 () (tptp.in @t97 @t14)) % 60.71/60.95 (define @t99 () (@list @t63 @t94)) % 60.71/60.95 (define @t100 () (tptp.identity_relation @t1)) % 60.71/60.95 (define @t101 () (= @t14 @t100)) % 60.71/60.95 (define @t102 () (tptp.relation @t14)) % 60.71/60.95 (define @t103 () (tptp.subset @t14 @t1)) % 60.71/60.95 (define @t104 () (tptp.subset @t1 @t14)) % 60.71/60.95 (define @t105 () (= @t1 @t14)) % 60.71/60.95 (define @t106 () (@var "E" $$unsorted)) % 60.71/60.95 (define @t107 () (tptp.ordered_pair @t94 @t106)) % 60.71/60.95 (define @t108 () (tptp.in @t107 @t1)) % 60.71/60.95 (define @t109 () (tptp.in @t94 @t14)) % 60.71/60.95 (define @t110 () (tptp.in @t107 @t63)) % 60.71/60.95 (define @t111 () (@list @t94 @t106)) % 60.71/60.95 (define @t112 () (tptp.relation_dom_restriction @t1 @t14)) % 60.71/60.95 (define @t113 () (@list @t14 @t63)) % 60.71/60.95 (define @t114 () (tptp.in @t106 @t14)) % 60.71/60.95 (define @t115 () (tptp.relation_dom @t1)) % 60.71/60.95 (define @t116 () (@list @t106)) % 60.71/60.95 (define @t117 () (tptp.in @t94 @t63)) % 60.71/60.95 (define @t118 () (@list @t94)) % 60.71/60.95 (define @t119 () (tptp.relation_image @t1 @t14)) % 60.71/60.95 (define @t120 () (= @t63 @t119)) % 60.71/60.95 (define @t121 () (and @t62 @t47)) % 60.71/60.95 (define @t122 () (tptp.in @t106 @t1)) % 60.71/60.95 (define @t123 () (tptp.relation_rng_restriction @t1 @t14)) % 60.71/60.95 (define @t124 () (@list @t63)) % 60.71/60.95 (define @t125 () (tptp.relation_field @t1)) % 60.71/60.95 (define @t126 () (tptp.antisymmetric @t1)) % 60.71/60.95 (define @t127 () (tptp.apply @t1 @t94)) % 60.71/60.95 (define @t128 () (tptp.in @t94 @t115)) % 60.71/60.95 (define @t129 () (= @t63 (tptp.relation_inverse_image @t1 @t14))) % 60.71/60.95 (define @t130 () (tptp.meet @t1 @t14 @t63)) % 60.71/60.95 (define @t131 () (forall @t124 (=> @t79 (and (= @t130 @t14) (= (tptp.meet @t1 @t63 @t14) @t14))))) % 60.71/60.95 (define @t132 () (tptp.lower_bounded_semilattstr @t1)) % 60.71/60.95 (define @t133 () (and @t55 @t86)) % 60.71/60.95 (define @t134 () (tptp.powerset @t3)) % 60.71/60.95 (define @t135 () (tptp.element @t106 @t134)) % 60.71/60.95 (define @t136 () (tptp.topstr_closure @t1 @t14)) % 60.71/60.95 (define @t137 () (tptp.element @t63 @t134)) % 60.71/60.95 (define @t138 () (tptp.element @t14 @t134)) % 60.71/60.95 (define @t139 () (tptp.top_str @t1)) % 60.71/60.95 (define @t140 () (tptp.ordered_pair @t106 @t94)) % 60.71/60.95 (define @t141 () (tptp.connected @t1)) % 60.71/60.95 (define @t142 () (tptp.bottom_of_semilattstr @t1)) % 60.71/60.95 (define @t143 () (tptp.transitive @t1)) % 60.71/60.95 (define @t144 () (tptp.ordered_pair @t14 @t63)) % 60.71/60.95 (define @t145 () (tptp.interior @t1 @t63)) % 60.71/60.95 (define @t146 () (tptp.point_neighbourhood @t63 @t1 @t14)) % 60.71/60.95 (define @t147 () (tptp.topological_space @t1)) % 60.71/60.95 (define @t148 () (and @t55 @t147 @t139)) % 60.71/60.95 (define @t149 () (tptp.in @t106 @t94)) % 60.71/60.95 (define @t150 () (@list @t1 @t14 @t63 @t94)) % 60.71/60.95 (define @t151 () (tptp.relation_dom @t14)) % 60.71/60.95 (define @t152 () (tptp.relation_rng @t14)) % 60.71/60.95 (define @t153 () (tptp.function @t14)) % 60.71/60.95 (define @t154 () (tptp.in (tptp.ordered_pair @t14 @t94) @t1)) % 60.71/60.95 (define @t155 () (tptp.in @t144 @t1)) % 60.71/60.95 (define @t156 () (@list @t14 @t63 @t94)) % 60.71/60.95 (define @t157 () (= @t63 tptp.empty_set)) % 60.71/60.95 (define @t158 () (tptp.quasi_total @t63 @t1 @t14)) % 60.71/60.95 (define @t159 () (= @t1 tptp.empty_set)) % 60.71/60.95 (define @t160 () (= @t14 tptp.empty_set)) % 60.71/60.95 (define @t161 () (tptp.relation_dom_as_subset @t1 @t14 @t63)) % 60.71/60.95 (define @t162 () (tptp.relation_of2_as_subset @t63 @t1 @t14)) % 60.71/60.95 (define @t163 () (tptp.element @t94 @t35)) % 60.71/60.95 (define @t164 () (tptp.the_carrier @t14)) % 60.71/60.95 (define @t165 () (tptp.boole_lattice @t1)) % 60.71/60.95 (define @t166 () (tptp.latt_str @t14)) % 60.71/60.95 (define @t167 () (tptp.join @t1 @t14 @t63)) % 60.71/60.95 (define @t168 () (and @t55 @t81)) % 60.71/60.95 (define @t169 () (= @t14 @t63)) % 60.71/60.95 (define @t170 () (= @t1 @t97)) % 60.71/60.95 (define @t171 () (exists @t113 (= @t1 @t144))) % 60.71/60.95 (define @t172 () (tptp.singleton @t1)) % 60.71/60.95 (define @t173 () (tptp.succ @t1)) % 60.71/60.95 (define @t174 () (tptp.the_topology @t1)) % 60.71/60.95 (define @t175 () (tptp.in @t14 @t174)) % 60.71/60.95 (define @t176 () (tptp.union_of_subsets @t3 @t14)) % 60.71/60.95 (define @t177 () (tptp.powerset @t134)) % 60.71/60.95 (define @t178 () (tptp.element @t14 @t177)) % 60.71/60.95 (define @t179 () (tptp.in @t63 @t14)) % 60.71/60.95 (define @t180 () (tptp.is_reflexive_in @t1 @t14)) % 60.71/60.95 (define @t181 () (tptp.relation_of2 @t63 @t1 @t14)) % 60.71/60.95 (define @t182 () (= @t14 (tptp.set_meet @t1))) % 60.71/60.95 (define @t183 () (tptp.in @t63 @t94)) % 60.71/60.95 (define @t184 () (tptp.in @t94 @t1)) % 60.71/60.95 (define @t185 () (not @t159)) % 60.71/60.95 (define @t186 () (tptp.empty @t3)) % 60.71/60.95 (define @t187 () (tptp.one_sorted_str @t1)) % 60.71/60.95 (define @t188 () (tptp.subset_complement @t3 @t14)) % 60.71/60.95 (define @t189 () (tptp.interior @t1 @t14)) % 60.71/60.95 (define @t190 () (tptp.open_subset @t63 @t1)) % 60.71/60.95 (define @t191 () (tptp.open_subsets @t14 @t1)) % 60.71/60.95 (define @t192 () (= @t94 @t14)) % 60.71/60.95 (define @t193 () (tptp.subset @t63 @t94)) % 60.71/60.95 (define @t194 () (tptp.relation_field @t14)) % 60.71/60.95 (define @t195 () (tptp.inclusion_relation @t1)) % 60.71/60.95 (define @t196 () (tptp.set_meet @t14)) % 60.71/60.95 (define @t197 () (not @t160)) % 60.71/60.95 (define @t198 () (tptp.k2_lattice3 @t1)) % 60.71/60.95 (define @t199 () (tptp.poset_of_lattice @t1)) % 60.71/60.95 (define @t200 () (= @t199 (tptp.rel_str_of @t3 @t198))) % 60.71/60.95 (define @t201 () (and @t55 @t57 @t13)) % 60.71/60.95 (define @t202 () (forall @t8 (=> @t201 @t200))) % 60.71/60.95 (define @t203 () (= @t14 @t94)) % 60.71/60.95 (define @t204 () (tptp.empty_carrier_subset @t1)) % 60.71/60.95 (define @t205 () (tptp.in @t97 @t1)) % 60.71/60.95 (define @t206 () (tptp.empty @t14)) % 60.71/60.95 (define @t207 () (not @t33)) % 60.71/60.95 (define @t208 () (forall @t124 (=> @t137 (=> @t179 (tptp.closed_subset @t63 @t1))))) % 60.71/60.95 (define @t209 () (tptp.closed_subsets @t14 @t1)) % 60.71/60.95 (define @t210 () (tptp.well_founded_relation @t1)) % 60.71/60.95 (define @t211 () (@var "F" $$unsorted)) % 60.71/60.95 (define @t212 () (tptp.ordered_pair @t106 @t211)) % 60.71/60.95 (define @t213 () (tptp.in @t211 @t14)) % 60.71/60.95 (define @t214 () (@list @t106 @t211)) % 60.71/60.95 (define @t215 () (tptp.subset @t63 @t14)) % 60.71/60.95 (define @t216 () (tptp.element @t63 @t177)) % 60.71/60.95 (define @t217 () (tptp.is_a_cover_of_carrier @t1 @t14)) % 60.71/60.95 (define @t218 () (tptp.compact_top_space @t1)) % 60.71/60.95 (define @t219 () (tptp.cast_to_el_of_LattPOSet @t1 @t14)) % 60.71/60.95 (define @t220 () (=> @t80 (= @t219 @t14))) % 60.71/60.95 (define @t221 () (forall @t23 @t220)) % 60.71/60.95 (define @t222 () (=> @t201 @t221)) % 60.71/60.95 (define @t223 () (forall @t8 @t222)) % 60.71/60.95 (define @t224 () (tptp.below @t1 @t14 @t63)) % 60.71/60.95 (define @t225 () (not @t179)) % 60.71/60.95 (define @t226 () (not @t169)) % 60.71/60.95 (define @t227 () (tptp.in @t14 @t63)) % 60.71/60.95 (define @t228 () (tptp.cast_as_carrier_subset @t1)) % 60.71/60.95 (define @t229 () (forall @t124 (=> @t96 @t179))) % 60.71/60.95 (define @t230 () (not @t157)) % 60.71/60.95 (define @t231 () (tptp.is_well_founded_in @t1 @t14)) % 60.71/60.95 (define @t232 () (tptp.apply @t1 @t14)) % 60.71/60.95 (define @t233 () (= @t63 @t232)) % 60.71/60.95 (define @t234 () (tptp.in @t14 @t115)) % 60.71/60.95 (define @t235 () (tptp.in (tptp.ordered_pair @t94 @t63) @t1)) % 60.71/60.95 (define @t236 () (tptp.is_antisymmetric_in @t1 @t14)) % 60.71/60.95 (define @t237 () (tptp.cast_to_subset @t1)) % 60.71/60.95 (define @t238 () (tptp.union @t1)) % 60.71/60.95 (define @t239 () (tptp.reflexive @t1)) % 60.71/60.95 (define @t240 () (tptp.well_ordering @t1)) % 60.71/60.95 (define @t241 () (tptp.relation_rng @t63)) % 60.71/60.95 (define @t242 () (tptp.relation_dom @t63)) % 60.71/60.95 (define @t243 () (= @t242 @t1)) % 60.71/60.95 (define @t244 () (tptp.one_to_one @t63)) % 60.71/60.95 (define @t245 () (tptp.function @t63)) % 60.71/60.95 (define @t246 () (tptp.equipotent @t1 @t14)) % 60.71/60.95 (define @t247 () (tptp.set_difference @t1 @t14)) % 60.71/60.95 (define @t248 () (and @t128 (= @t63 @t127))) % 60.71/60.95 (define @t249 () (tptp.relation_rng @t1)) % 60.71/60.95 (define @t250 () (= @t14 @t249)) % 60.71/60.95 (define @t251 () (tptp.transitive_relstr @t1)) % 60.71/60.95 (define @t252 () (tptp.being_limit_ordinal @t1)) % 60.71/60.95 (define @t253 () (tptp.open_subset @t14 @t1)) % 60.71/60.95 (define @t254 () (tptp.subset_complement @t1 @t14)) % 60.71/60.95 (define @t255 () (tptp.ordered_pair @t1 @t14)) % 60.71/60.95 (define @t256 () (tptp.is_connected_in @t1 @t14)) % 60.71/60.95 (define @t257 () (tptp.is_transitive_in @t1 @t14)) % 60.71/60.95 (define @t258 () (tptp.antisymmetric_relstr @t1)) % 60.71/60.95 (define @t259 () (tptp.subset_difference @t3 @t228 @t14)) % 60.71/60.95 (define @t260 () (tptp.closed_subset @t14 @t1)) % 60.71/60.95 (define @t261 () (tptp.cartesian_product2 @t14 @t14)) % 60.71/60.95 (define @t262 () (tptp.relation_restriction @t1 @t14)) % 60.71/60.95 (define @t263 () (tptp.relation_inverse @t1)) % 60.71/60.95 (define @t264 () (tptp.apply @t63 @t106)) % 60.71/60.95 (define @t265 () (tptp.apply @t63 @t94)) % 60.71/60.95 (define @t266 () (tptp.relation_isomorphism @t1 @t14 @t63)) % 60.71/60.95 (define @t267 () (and @t64 @t245)) % 60.71/60.95 (define @t268 () (tptp.disjoint @t1 @t14)) % 60.71/60.95 (define @t269 () (tptp.relation_of_lattice @t1)) % 60.71/60.95 (define @t270 () (= @t269 (tptp.a_1_0_filter_1 @t1))) % 60.71/60.95 (define @t271 () (forall @t8 (=> @t201 @t270))) % 60.71/60.95 (define @t272 () (@list @t211)) % 60.71/60.95 (define @t273 () (tptp.relation_composition @t1 @t14)) % 60.71/60.95 (define @t274 () (@list @t63 @t94 @t106)) % 60.71/60.95 (define @t275 () (tptp.complements_of_subsets @t1 @t14)) % 60.71/60.95 (define @t276 () (tptp.powerset @t35)) % 60.71/60.95 (define @t277 () (tptp.element @t14 @t276)) % 60.71/60.95 (define @t278 () (not @t105)) % 60.71/60.95 (define @t279 () (tptp.function_inverse @t1)) % 60.71/60.95 (define @t280 () (tptp.related @t1 @t14 @t63)) % 60.71/60.95 (define @t281 () (= @t280 (tptp.in @t144 @t2))) % 60.71/60.95 (define @t282 () (forall @t124 (=> @t79 @t281))) % 60.71/60.95 (define @t283 () (=> @t80 @t282)) % 60.71/60.95 (define @t284 () (forall @t23 @t283)) % 60.71/60.95 (define @t285 () (=> @t7 @t284)) % 60.71/60.95 (define @t286 () (forall @t8 @t285)) % 60.71/60.95 (define @t287 () (tptp.rel_str_of @t1 @t14)) % 60.71/60.95 (define @t288 () (tptp.strict_rel_str @t287)) % 60.71/60.95 (define @t289 () (tptp.relation_of2 @t14 @t1 @t1)) % 60.71/60.95 (define @t290 () (tptp.latt_str_of @t1 @t14 @t63)) % 60.71/60.95 (define @t291 () (tptp.strict_latt_str @t290)) % 60.71/60.95 (define @t292 () (tptp.cartesian_product2 @t1 @t1)) % 60.71/60.95 (define @t293 () (tptp.relation_of2 @t63 @t292 @t1)) % 60.71/60.95 (define @t294 () (tptp.quasi_total @t63 @t292 @t1)) % 60.71/60.95 (define @t295 () (tptp.relation_of2 @t14 @t292 @t1)) % 60.71/60.95 (define @t296 () (tptp.quasi_total @t14 @t292 @t1)) % 60.71/60.95 (define @t297 () (and @t153 @t296 @t295 @t245 @t294 @t293)) % 60.71/60.95 (define @t298 () (tptp.k8_filter_1 @t1 @t14)) % 60.71/60.95 (define @t299 () (tptp.k10_filter_1 @t1 @t14 @t63 @t94)) % 60.71/60.95 (define @t300 () (tptp.element @t94 @t164)) % 60.71/60.95 (define @t301 () (tptp.lattice @t14)) % 60.71/60.95 (define @t302 () (not (tptp.empty_carrier @t14))) % 60.71/60.95 (define @t303 () (and @t55 @t57 @t13 @t302 @t301 @t166 @t79 @t300)) % 60.71/60.95 (define @t304 () (tptp.ordered_pair_as_product_element @t1 @t14 @t63 @t94)) % 60.71/60.95 (define @t305 () (tptp.element @t94 @t14)) % 60.71/60.95 (define @t306 () (tptp.element @t63 @t1)) % 60.71/60.95 (define @t307 () (not @t206)) % 60.71/60.95 (define @t308 () (and @t207 @t307 @t306 @t305)) % 60.71/60.95 (define @t309 () (tptp.strict_latt_str @t165)) % 60.71/60.95 (define @t310 () (and @t139 @t138)) % 60.71/60.95 (define @t311 () (tptp.apply_binary_as_element @t1 @t14 @t63 @t94 @t106 @t211)) % 60.71/60.95 (define @t312 () (tptp.function @t94)) % 60.71/60.95 (define @t313 () (and @t207 @t307 @t312 (tptp.quasi_total @t94 @t65 @t63) (tptp.relation_of2 @t94 @t65 @t63) (tptp.element @t106 @t1) (tptp.element @t211 @t14))) % 60.71/60.95 (define @t314 () (@list @t1 @t14 @t63 @t94 @t106 @t211)) % 60.71/60.95 (define @t315 () (and (tptp.reflexive @t198) (tptp.antisymmetric @t198) (tptp.transitive @t198) (tptp.v1_partfun1 @t198 @t3 @t3) (tptp.relation_of2_as_subset @t198 @t3 @t3))) % 60.71/60.95 (define @t316 () (forall @t8 (=> @t201 @t315))) % 60.71/60.95 (define @t317 () (tptp.antisymmetric_relstr @t199)) % 60.71/60.95 (define @t318 () (tptp.transitive_relstr @t199)) % 60.71/60.95 (define @t319 () (tptp.reflexive_relstr @t199)) % 60.71/60.95 (define @t320 () (tptp.strict_rel_str @t199)) % 60.71/60.95 (define @t321 () (and @t320 @t319 @t318 @t317 (tptp.rel_str @t199))) % 60.71/60.95 (define @t322 () (forall @t8 (=> @t201 @t321))) % 60.71/60.95 (define @t323 () (tptp.element @t219 (tptp.the_carrier @t199))) % 60.71/60.95 (define @t324 () (and @t55 @t57 @t13 @t80)) % 60.71/60.95 (define @t325 () (forall @t18 (=> @t324 @t323))) % 60.71/60.95 (define @t326 () (tptp.relation @t263)) % 60.71/60.95 (define @t327 () (tptp.relation @t273)) % 60.71/60.95 (define @t328 () (and @t62 @t102)) % 60.71/60.95 (define @t329 () (tptp.powerset @t14)) % 60.71/60.95 (define @t330 () (tptp.relation_rng_as_subset @t1 @t14 @t63)) % 60.71/60.95 (define @t331 () (tptp.union_of_subsets @t1 @t14)) % 60.71/60.95 (define @t332 () (tptp.relation @t100)) % 60.71/60.95 (define @t333 () (tptp.meet_of_subsets @t1 @t14)) % 60.71/60.95 (define @t334 () (tptp.subset_difference @t1 @t14 @t63)) % 60.71/60.95 (define @t335 () (tptp.relation @t112)) % 60.71/60.95 (define @t336 () (tptp.relation @t123)) % 60.71/60.95 (define @t337 () (forall @t8 (=> @t86 @t187))) % 60.71/60.95 (define @t338 () (and @t86 @t81)) % 60.71/60.95 (define @t339 () (forall @t8 (=> @t13 @t338))) % 60.71/60.95 (define @t340 () (and @t55 @t147 @t139 @t80)) % 60.71/60.95 (define @t341 () (tptp.cartesian_product2 @t3 @t3)) % 60.71/60.95 (define @t342 () (tptp.quasi_total @t10 @t341 @t3)) % 60.71/60.95 (define @t343 () (tptp.function @t10)) % 60.71/60.95 (define @t344 () (tptp.quasi_total @t11 @t341 @t3)) % 60.71/60.95 (define @t345 () (tptp.function @t11)) % 60.71/60.95 (define @t346 () (tptp.finite @t84)) % 60.71/60.95 (define @t347 () (tptp.relation_composition @t14 @t1)) % 60.71/60.95 (define @t348 () (and @t33 @t102)) % 60.71/60.95 (define @t349 () (tptp.relation_empty_yielding tptp.empty_set)) % 60.71/60.95 (define @t350 () (tptp.relation tptp.empty_set)) % 60.71/60.95 (define @t351 () (tptp.empty tptp.empty_set)) % 60.71/60.95 (define @t352 () (tptp.relation_empty_yielding @t1)) % 60.71/60.95 (define @t353 () (and @t62 @t352)) % 60.71/60.95 (define @t354 () (not (tptp.empty @t172))) % 60.71/60.95 (define @t355 () (not (tptp.empty @t35))) % 60.71/60.95 (define @t356 () (not (tptp.empty_carrier @t165))) % 60.71/60.95 (define @t357 () (not (tptp.empty @t173))) % 60.71/60.95 (define @t358 () (not @t186)) % 60.71/60.95 (define @t359 () (and @t55 @t187)) % 60.71/60.95 (define @t360 () (forall @t8 (=> @t359 @t358))) % 60.71/60.95 (define @t361 () (tptp.v1_membered @t84)) % 60.71/60.95 (define @t362 () (tptp.v1_membered @t83)) % 60.71/60.95 (define @t363 () (tptp.v2_membered @t84)) % 60.71/60.95 (define @t364 () (tptp.ordinal @t173)) % 60.71/60.95 (define @t365 () (tptp.epsilon_connected @t173)) % 60.71/60.95 (define @t366 () (tptp.epsilon_transitive @t173)) % 60.71/60.95 (define @t367 () (tptp.v1_partfun1 @t11 @t341 @t3)) % 60.71/60.95 (define @t368 () (tptp.relation @t11)) % 60.71/60.95 (define @t369 () (and @t55 @t53 @t81)) % 60.71/60.95 (define @t370 () (tptp.reflexive_relstr @t1)) % 60.71/60.95 (define @t371 () (and @t147 @t139 @t138)) % 60.71/60.95 (define @t372 () (tptp.v2_membered @t83)) % 60.71/60.95 (define @t373 () (tptp.v3_membered @t84)) % 60.71/60.95 (define @t374 () (tptp.v3_membered @t83)) % 60.71/60.95 (define @t375 () (tptp.v4_membered @t84)) % 60.71/60.95 (define @t376 () (tptp.v4_membered @t83)) % 60.71/60.95 (define @t377 () (tptp.v1_membered @t247)) % 60.71/60.95 (define @t378 () (tptp.v2_membered @t247)) % 60.71/60.95 (define @t379 () (tptp.v3_membered @t247)) % 60.71/60.95 (define @t380 () (tptp.transitive @t14)) % 60.71/60.95 (define @t381 () (tptp.antisymmetric @t14)) % 60.71/60.95 (define @t382 () (tptp.reflexive @t14)) % 60.71/60.95 (define @t383 () (tptp.open_subset @t188 @t1)) % 60.71/60.95 (define @t384 () (tptp.v4_membered @t247)) % 60.71/60.95 (define @t385 () (tptp.v1_partfun1 @t10 @t341 @t3)) % 60.71/60.95 (define @t386 () (tptp.relation @t10)) % 60.71/60.95 (define @t387 () (and (not (tptp.empty_carrier @t199)) @t320 @t319 @t318 @t317)) % 60.71/60.95 (define @t388 () (forall @t8 (=> @t201 @t387))) % 60.71/60.95 (define @t389 () (tptp.closed_subset @t188 @t1)) % 60.71/60.95 (define @t390 () (and @t102 @t153)) % 60.71/60.95 (define @t391 () (and @t147 @t139)) % 60.71/60.95 (define @t392 () (tptp.empty @t115)) % 60.71/60.95 (define @t393 () (and @t207 @t62)) % 60.71/60.95 (define @t394 () (tptp.empty @t249)) % 60.71/60.95 (define @t395 () (tptp.open_subset @t189 @t1)) % 60.71/60.95 (define @t396 () (= @t1 @t63)) % 60.71/60.95 (define @t397 () (and @t396 @t203)) % 60.71/60.95 (define @t398 () (= @t287 (tptp.rel_str_of @t63 @t94))) % 60.71/60.95 (define @t399 () (forall @t99 (=> @t398 @t397))) % 60.71/60.95 (define @t400 () (=> @t289 @t399)) % 60.71/60.95 (define @t401 () (forall @t18 @t400)) % 60.71/60.95 (define @t402 () (= @t63 @t211)) % 60.71/60.95 (define @t403 () (= @t1 @t94)) % 60.71/60.95 (define @t404 () (@list @t94 @t106 @t211)) % 60.71/60.95 (define @t405 () (tptp.in @t14 @t125)) % 60.71/60.95 (define @t406 () (tptp.disjoint @t172 @t14)) % 60.71/60.95 (define @t407 () (not @t17)) % 60.71/60.95 (define @t408 () (tptp.well_ordering @t14)) % 60.71/60.95 (define @t409 () (tptp.in (tptp.ordered_pair @t63 @t14) @t1)) % 60.71/60.95 (define @t410 () (tptp.singleton @t63)) % 60.71/60.95 (define @t411 () (not @t155)) % 60.71/60.95 (define @t412 () (tptp.singleton @t14)) % 60.71/60.95 (define @t413 () (tptp.union @t14)) % 60.71/60.95 (define @t414 () (tptp.in @t1 @t63)) % 60.71/60.95 (define @t415 () (tptp.element @t1 @t329)) % 60.71/60.95 (define @t416 () (tptp.relation_dom_restriction @t63 @t1)) % 60.71/60.95 (define @t417 () (tptp.in @t14 (tptp.relation_dom @t416))) % 60.71/60.95 (define @t418 () (tptp.one_to_one @t14)) % 60.71/60.95 (define @t419 () (=> @t308 (= @t304 @t97))) % 60.71/60.95 (define @t420 () (forall @t150 @t419)) % 60.71/60.95 (define @t421 () (= @t198 @t269)) % 60.71/60.95 (define @t422 () (forall @t8 (=> @t201 @t421))) % 60.71/60.95 (define @t423 () (tptp.set_union2 @t14 @t63)) % 60.71/60.95 (define @t424 () (tptp.set_intersection2 @t14 @t63)) % 60.71/60.95 (define @t425 () (tptp.set_difference @t14 @t63)) % 60.71/60.95 (define @t426 () (tptp.below_refl @t1 @t14 @t63)) % 60.71/60.95 (define @t427 () (and @t55 @t51 @t49 @t48 @t13 @t80 @t79)) % 60.71/60.95 (define @t428 () (tptp.related_reflexive @t1 @t14 @t63)) % 60.71/60.95 (define @t429 () (and @t55 @t370 @t7 @t80 @t79)) % 60.71/60.95 (define @t430 () (=> @t429 (= @t428 @t280))) % 60.71/60.95 (define @t431 () (forall @t67 @t430)) % 60.71/60.95 (define @t432 () (@var "K" $$unsorted)) % 60.71/60.95 (define @t433 () (@var "J" $$unsorted)) % 60.71/60.95 (define @t434 () (tptp.in @t432 @t433)) % 60.71/60.95 (define @t435 () (@list @t432)) % 60.71/60.95 (define @t436 () (@list @t433)) % 60.71/60.95 (define @t437 () (= @t94 @t106)) % 60.71/60.95 (define @t438 () (@var "I" $$unsorted)) % 60.71/60.95 (define @t439 () (@var "H" $$unsorted)) % 60.71/60.95 (define @t440 () (tptp.in @t438 @t439)) % 60.71/60.95 (define @t441 () (@list @t438)) % 60.71/60.95 (define @t442 () (@list @t439)) % 60.71/60.95 (define @t443 () (exists @t442 (and (= @t63 @t439) (tptp.in @t106 @t439) (forall @t441 (=> @t440 (tptp.in (tptp.ordered_pair @t106 @t438) @t14)))))) % 60.71/60.95 (define @t444 () (@var "G" $$unsorted)) % 60.71/60.95 (define @t445 () (tptp.in @t444 @t211)) % 60.71/60.95 (define @t446 () (@list @t444)) % 60.71/60.95 (define @t447 () (exists @t272 (and @t402 (tptp.in @t94 @t211) (forall @t446 (=> @t445 (tptp.in (tptp.ordered_pair @t94 @t444) @t14)))))) % 60.71/60.95 (define @t448 () (forall @t274 (=> (and @t96 @t447 @t96 @t443) @t437))) % 60.71/60.95 (define @t449 () (and @t207 @t102)) % 60.71/60.95 (define @t450 () (= @t94 @t412)) % 60.71/60.95 (define @t451 () (= @t63 @t412)) % 60.71/60.95 (define @t452 () (forall @t156 (=> (and @t15 @t451 @t15 @t450) @t95))) % 60.71/60.95 (define @t453 () (tptp.subset_complement @t3 @t439)) % 60.71/60.95 (define @t454 () (= @t439 @t94)) % 60.71/60.95 (define @t455 () (tptp.element @t439 @t134)) % 60.71/60.95 (define @t456 () (forall @t442 (=> @t455 (=> @t454 (= @t106 @t453))))) % 60.71/60.95 (define @t457 () (tptp.complements_of_subsets @t3 @t14)) % 60.71/60.95 (define @t458 () (tptp.in @t94 @t457)) % 60.71/60.95 (define @t459 () (tptp.element @t444 @t134)) % 60.71/60.95 (define @t460 () (forall @t446 (=> @t459 (=> (= @t444 @t63) (= @t106 (tptp.subset_complement @t3 @t444)))))) % 60.71/60.95 (define @t461 () (tptp.in @t63 @t457)) % 60.71/60.95 (define @t462 () (tptp.element @t211 @t134)) % 60.71/60.95 (define @t463 () (forall @t272 (=> @t462 (=> (= @t211 @t63) (= @t94 (tptp.subset_complement @t3 @t211)))))) % 60.71/60.95 (define @t464 () (forall @t274 (=> (and @t461 @t463 @t461 @t460) @t437))) % 60.71/60.95 (define @t465 () (and @t187 @t178)) % 60.71/60.95 (define @t466 () (forall @t274 (=> (and @t179 @t463 @t179 @t460) @t437))) % 60.71/60.95 (define @t467 () (tptp.ordinal @t63)) % 60.71/60.95 (define @t468 () (@var "S" $$unsorted)) % 60.71/60.95 (define @t469 () (@var "T" $$unsorted)) % 60.71/60.95 (define @t470 () (@var "R" $$unsorted)) % 60.71/60.95 (define @t471 () (tptp.powerset (tptp.powerset @t94))) % 60.71/60.95 (define @t472 () (@list @t470)) % 60.71/60.95 (define @t473 () (tptp.in @t94 tptp.omega)) % 60.71/60.95 (define @t474 () (tptp.ordinal @t94)) % 60.71/60.95 (define @t475 () (@var "P" $$unsorted)) % 60.71/60.95 (define @t476 () (@var "Q" $$unsorted)) % 60.71/60.95 (define @t477 () (@var "O" $$unsorted)) % 60.71/60.95 (define @t478 () (@list @t476)) % 60.71/60.95 (define @t479 () (@list @t475)) % 60.71/60.95 (define @t480 () (@list @t477)) % 60.71/60.95 (define @t481 () (@var "M" $$unsorted)) % 60.71/60.95 (define @t482 () (@var "N" $$unsorted)) % 60.71/60.95 (define @t483 () (@var "L" $$unsorted)) % 60.71/60.95 (define @t484 () (@list @t482)) % 60.71/60.95 (define @t485 () (tptp.in @t481 @t483)) % 60.71/60.95 (define @t486 () (@list @t481)) % 60.71/60.95 (define @t487 () (@list @t483)) % 60.71/60.95 (define @t488 () (tptp.succ @t94)) % 60.71/60.95 (define @t489 () (=> @t473 (forall @t116 (=> (tptp.element @t106 @t471) (not (and (not (= @t106 tptp.empty_set)) (forall @t272 (not (and (tptp.in @t211 @t106) (forall @t446 (=> (and (tptp.in @t444 @t106) (tptp.subset @t211 @t444)) (= @t444 @t211)))))))))))) % 60.71/60.95 (define @t490 () (tptp.subset @t14 @t63)) % 60.71/60.95 (define @t491 () (tptp.powerset tptp.empty_set)) % 60.71/60.95 (define @t492 () (tptp.apply @t63 @t211)) % 60.71/60.95 (define @t493 () (tptp.in @t211 @t1)) % 60.71/60.95 (define @t494 () (tptp.relation @t94)) % 60.71/60.95 (define @t495 () (and @t102 @t64 @t245)) % 60.71/60.95 (define @t496 () (forall @t435 (=> @t434 (tptp.in (tptp.ordered_pair @t94 @t432) @t14)))) % 60.71/60.95 (define @t497 () (tptp.in @t94 @t433)) % 60.71/60.95 (define @t498 () (= @t211 @t106)) % 60.71/60.95 (define @t499 () (tptp.cartesian_product2 @t1 @t63)) % 60.71/60.95 (define @t500 () (= @t106 @t211)) % 60.71/60.95 (define @t501 () (tptp.ordered_pair @t432 @t483)) % 60.71/60.95 (define @t502 () (@list @t432 @t483)) % 60.71/60.95 (define @t503 () (= @t94 @t211)) % 60.71/60.95 (define @t504 () (tptp.in @t433 @t438)) % 60.71/60.95 (define @t505 () (tptp.in @t444 @t1)) % 60.71/60.95 (define @t506 () (tptp.ordered_pair @t444 @t439)) % 60.71/60.95 (define @t507 () (= @t506 @t106)) % 60.71/60.95 (define @t508 () (@list @t444 @t439)) % 60.71/60.95 (define @t509 () (tptp.ordered_pair @t433 @t432)) % 60.71/60.95 (define @t510 () (@list @t433 @t432)) % 60.71/60.95 (define @t511 () (= @t106 @t94)) % 60.71/60.95 (define @t512 () (tptp.in @t439 @t1)) % 60.71/60.95 (define @t513 () (= @t63 @t106)) % 60.71/60.95 (define @t514 () (tptp.ordered_pair @t211 @t444)) % 60.71/60.95 (define @t515 () (@list @t211 @t444)) % 60.71/60.95 (define @t516 () (= @t94 @t63)) % 60.71/60.95 (define @t517 () (not (and (not (= @t211 tptp.empty_set)) (forall @t446 (not (and @t445 (forall @t442 (=> (and (tptp.in @t439 @t211) (tptp.subset @t444 @t439)) (= @t439 @t444))))))))) % 60.71/60.95 (define @t518 () (tptp.ordinal @t106)) % 60.71/60.95 (define @t519 () (tptp.subset @t14 @t94)) % 60.71/60.95 (define @t520 () (tptp.in @t106 @t134)) % 60.71/60.95 (define @t521 () (tptp.in (tptp.set_difference @t228 @t94) @t14)) % 60.71/60.95 (define @t522 () (and @t147 @t139 @t178)) % 60.71/60.95 (define @t523 () (tptp.in @t444 @t14)) % 60.71/60.95 (define @t524 () (and @t43 (tptp.element @t14 (tptp.powerset (tptp.powerset @t173))))) % 60.71/60.95 (define @t525 () (= @t94 @t453)) % 60.71/60.95 (define @t526 () (forall @t442 (=> @t455 (=> (= @t439 @t106) @t525)))) % 60.71/60.95 (define @t527 () (tptp.in @t106 @t457)) % 60.71/60.95 (define @t528 () (forall @t480 (=> (tptp.element @t477 @t134) (=> (= @t477 @t481) (= @t482 (tptp.subset_complement @t3 @t477)))))) % 60.71/60.95 (define @t529 () (= (tptp.ordered_pair @t481 @t482) @t106)) % 60.71/60.95 (define @t530 () (@list @t481 @t482)) % 60.71/60.95 (define @t531 () (tptp.cartesian_product2 @t457 @t63)) % 60.71/60.95 (define @t532 () (forall @t487 (=> (tptp.element @t483 @t134) (=> (= @t483 @t433) (= @t432 (tptp.subset_complement @t3 @t483)))))) % 60.71/60.95 (define @t533 () (= @t509 @t211)) % 60.71/60.95 (define @t534 () (tptp.subset_complement @t3 @t438)) % 60.71/60.95 (define @t535 () (tptp.element @t438 @t134)) % 60.71/60.95 (define @t536 () (forall @t441 (=> @t535 (=> (= @t438 @t444) (= @t439 @t534))))) % 60.71/60.95 (define @t537 () (tptp.cartesian_product2 @t14 @t63)) % 60.71/60.95 (define @t538 () (tptp.apply @t63 @t444)) % 60.71/60.95 (define @t539 () (tptp.in (tptp.relation_image @t63 @t106) @t14)) % 60.71/60.95 (define @t540 () (tptp.powerset @t242)) % 60.71/60.95 (define @t541 () (and @t277 @t64 @t245)) % 60.71/60.95 (define @t542 () (tptp.succ @t14)) % 60.71/60.95 (define @t543 () (= @t514 @t106)) % 60.71/60.95 (define @t544 () (exists @t116 (and @t135 @t511 (tptp.closed_subset @t106 @t1) @t519))) % 60.71/60.95 (define @t545 () (tptp.in @t94 @t134)) % 60.71/60.95 (define @t546 () (forall @t442 (=> @t455 (=> (= @t439 @t211) (= @t444 @t453))))) % 60.71/60.95 (define @t547 () (tptp.apply @t14 @t63)) % 60.71/60.95 (define @t548 () (= @t151 @t1)) % 60.71/60.95 (define @t549 () (exists @t23 (and @t102 @t153 @t548 (forall @t124 (=> @t96 (= @t547 @t410)))))) % 60.71/60.95 (define @t550 () (forall @t441 (=> @t535 (=> (= @t438 @t94) (= @t265 @t534))))) % 60.71/60.95 (define @t551 () (forall @t118 (not (forall @t442 (=> @t455 (=> (= @t439 @t63) @t525)))))) % 60.71/60.95 (define @t552 () (tptp.in @t1 tptp.omega)) % 60.71/60.95 (define @t553 () (tptp.element @t94 @t134)) % 60.71/60.95 (define @t554 () (= @t275 tptp.empty_set)) % 60.71/60.95 (define @t555 () (not (and @t197 @t554))) % 60.71/60.95 (define @t556 () (tptp.relation_rng @t123)) % 60.71/60.95 (define @t557 () (tptp.meet_of_subsets @t1 @t275)) % 60.71/60.95 (define @t558 () (tptp.union_of_subsets @t1 @t275)) % 60.71/60.95 (define @t559 () (forall @t124 (not (and @t215 (not (tptp.are_equipotent @t63 @t14)) @t225)))) % 60.71/60.95 (define @t560 () (tptp.powerset @t63)) % 60.71/60.95 (define @t561 () (forall @t99 (=> (and @t179 (tptp.subset @t94 @t63)) @t109))) % 60.71/60.95 (define @t562 () (tptp.meet_of_subsets @t3 @t14)) % 60.71/60.95 (define @t563 () (tptp.relation_dom_restriction @t63 @t14)) % 60.71/60.95 (define @t564 () (tptp.relation_image @t14 @t1)) % 60.71/60.95 (define @t565 () (tptp.relation_inverse_image @t14 @t1)) % 60.71/60.95 (define @t566 () (tptp.relation_image @t14 @t565)) % 60.71/60.95 (define @t567 () (tptp.set_intersection2 @t151 @t1)) % 60.71/60.95 (define @t568 () (tptp.subset @t1 @t152)) % 60.71/60.95 (define @t569 () (tptp.relation_of2_as_subset @t94 @t63 @t14)) % 60.71/60.95 (define @t570 () (tptp.relation_rng @t94)) % 60.71/60.95 (define @t571 () (tptp.relation_of2_as_subset @t94 @t63 @t1)) % 60.71/60.96 (define @t572 () (tptp.relation_rng @t273)) % 60.71/60.96 (define @t573 () (tptp.relation_inverse_image @t63 @t14)) % 60.71/60.96 (define @t574 () (tptp.relation_restriction @t63 @t14)) % 60.71/60.96 (define @t575 () (tptp.relation_restriction @t14 @t1)) % 60.71/60.96 (define @t576 () (tptp.relation_dom_restriction @t14 @t1)) % 60.71/60.96 (define @t577 () (tptp.relation_field @t63)) % 60.71/60.96 (define @t578 () (tptp.in @t1 @t577)) % 60.71/60.96 (define @t579 () (tptp.subset @t1 @t63)) % 60.71/60.96 (define @t580 () (tptp.the_carrier @t165)) % 60.71/60.96 (define @t581 () (tptp.element @t63 @t580)) % 60.71/60.96 (define @t582 () (tptp.element @t14 @t580)) % 60.71/60.96 (define @t583 () (tptp.element @t1 @t14)) % 60.71/60.96 (define @t584 () (tptp.in @t1 @t242)) % 60.71/60.96 (define @t585 () (tptp.in @t255 @t63)) % 60.71/60.96 (define @t586 () (tptp.relation_field @t575)) % 60.71/60.96 (define @t587 () (tptp.apply @t63 @t1)) % 60.71/60.96 (define @t588 () (tptp.relation_composition @t63 @t14)) % 60.71/60.96 (define @t589 () (tptp.in @t1 (tptp.relation_dom @t588))) % 60.71/60.96 (define @t590 () (tptp.apply @t94 @t63)) % 60.71/60.96 (define @t591 () (and @t312 (tptp.quasi_total @t94 @t1 @t14) (tptp.relation_of2_as_subset @t94 @t1 @t14))) % 60.71/60.96 (define @t592 () (tptp.connected @t14)) % 60.71/60.96 (define @t593 () (tptp.well_ordering @t575)) % 60.71/60.96 (define @t594 () (= @t586 @t1)) % 60.71/60.96 (define @t595 () (tptp.well_orders @t14 @t1)) % 60.71/60.96 (define @t596 () (tptp.well_founded_relation @t14)) % 60.71/60.96 (define @t597 () (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t14 @t63) @t269)) % 60.71/60.96 (define @t598 () (=> @t79 (= @t597 @t426))) % 60.71/60.96 (define @t599 () (forall @t124 @t598)) % 60.71/60.96 (define @t600 () (=> @t80 @t599)) % 60.71/60.96 (define @t601 () (forall @t23 @t600)) % 60.71/60.96 (define @t602 () (=> @t201 @t601)) % 60.71/60.96 (define @t603 () (forall @t8 @t602)) % 60.71/60.96 (define @t604 () (tptp.set_union2 @t1 (tptp.set_difference @t14 @t1))) % 60.71/60.96 (define @t605 () (and @t96 @t179)) % 60.71/60.96 (define @t606 () (not @t268)) % 60.71/60.96 (define @t607 () (= @t1 @t542)) % 60.71/60.96 (define @t608 () (tptp.subset_complement @t1 @t63)) % 60.71/60.96 (define @t609 () (tptp.disjoint @t14 @t63)) % 60.71/60.96 (define @t610 () (tptp.relation_dom @t273)) % 60.71/60.96 (define @t611 () (and (tptp.closed_subset @t94 @t1) @t519)) % 60.71/60.96 (define @t612 () (tptp.element @t14 @t560)) % 60.71/60.96 (define @t613 () (tptp.in @t63 @t84)) % 60.71/60.96 (define @t614 () (= @t136 @t14)) % 60.71/60.96 (define @t615 () (and (tptp.in @t63 @t249) (= @t94 @t547))) % 60.71/60.96 (define @t616 () (tptp.function_inverse @t14)) % 60.71/60.96 (define @t617 () (= @t249 tptp.empty_set)) % 60.71/60.96 (define @t618 () (= @t115 tptp.empty_set)) % 60.71/60.96 (define @t619 () (= (tptp.apply @t416 @t14) (tptp.apply @t63 @t14))) % 60.71/60.96 (define @t620 () (= @t426 (tptp.related_reflexive @t199 @t219 (tptp.cast_to_el_of_LattPOSet @t1 @t63)))) % 60.71/60.96 (define @t621 () (forall @t124 (=> @t79 @t620))) % 60.71/60.96 (define @t622 () (=> @t80 @t621)) % 60.71/60.96 (define @t623 () (forall @t23 @t622)) % 60.71/60.96 (define @t624 () (=> @t201 @t623)) % 60.71/60.96 (define @t625 () (forall @t8 @t624)) % 60.71/60.96 (define @t626 () (not @t625)) % 60.71/60.96 (define @t627 () (= @t172 (tptp.unordered_pair @t14 @t63))) % 60.71/60.96 (define @t628 () (@var "BOUND_VARIABLE_13207" $$unsorted)) % 60.71/60.96 (define @t629 () (= @t628 (tptp.cast_to_el_of_LattPOSet @t1 @t628))) % 60.71/60.96 (define @t630 () (not (tptp.element @t628 @t3))) % 60.71/60.96 (define @t631 () (not @t13)) % 60.71/60.96 (define @t632 () (not @t57)) % 60.71/60.96 (define @t633 () (or @t630 @t629)) % 60.71/60.96 (define @t634 () (or @t54 @t632 @t631 @t633)) % 60.71/60.96 (define @t635 () (forall (@list @t1 @t628) @t634)) % 60.71/60.96 (define @t636 () (@list @t628)) % 60.71/60.96 (define @t637 () (forall @t636 @t634)) % 60.71/60.96 (define @t638 () (forall @t636 @t633)) % 60.71/60.96 (define @t639 () (or @t54 @t632 @t631 @t638)) % 60.71/60.96 (define @t640 () (= @t14 @t219)) % 60.71/60.96 (define @t641 () (not @t80)) % 60.71/60.96 (define @t642 () (forall @t23 (or @t641 @t640))) % 60.71/60.96 (define @t643 () (or @t54 @t632 @t631 @t642)) % 60.71/60.96 (define @t644 () (or @t54 @t632 @t631)) % 60.71/60.96 (define @t645 () (not @t55)) % 60.71/60.96 (define @t646 () (or @t645 @t632 @t631)) % 60.71/60.96 (define @t647 () (not @t201)) % 60.71/60.96 (define @t648 () (@var "BOUND_VARIABLE_20440" $$unsorted)) % 60.71/60.96 (define @t649 () (@var "BOUND_VARIABLE_20438" $$unsorted)) % 60.71/60.96 (define @t650 () (= (tptp.below_refl @t1 @t649 @t648) (tptp.related_reflexive @t199 (tptp.cast_to_el_of_LattPOSet @t1 @t649) (tptp.cast_to_el_of_LattPOSet @t1 @t648)))) % 60.71/60.96 (define @t651 () (not (tptp.element @t648 @t3))) % 60.71/60.96 (define @t652 () (not (tptp.element @t649 @t3))) % 60.71/60.96 (define @t653 () (or @t54 @t632 @t631 @t652 @t651 @t650)) % 60.71/60.96 (define @t654 () (@list @t1 @t649 @t648)) % 60.71/60.96 (define @t655 () (forall @t654 @t653)) % 60.71/60.96 (define @t656 () (@quantifiers_skolemize @t655 1)) % 60.71/60.96 (define @t657 () (@quantifiers_skolemize @t655 0)) % 60.71/60.96 (define @t658 () (@list @t657 @t656)) % 60.71/60.96 (define @t659 () (or @t652 @t651 @t650)) % 60.71/60.96 (define @t660 () (or @t54 @t632 @t631 @t659)) % 60.71/60.96 (define @t661 () (forall @t654 @t660)) % 60.71/60.96 (define @t662 () (@list @t649 @t648)) % 60.71/60.96 (define @t663 () (forall @t662 @t660)) % 60.71/60.96 (define @t664 () (forall @t662 @t659)) % 60.71/60.96 (define @t665 () (@var "BOUND_VARIABLE_20420" $$unsorted)) % 60.71/60.96 (define @t666 () (or @t54 @t632 @t631 @t664)) % 60.71/60.96 (define @t667 () (= (tptp.below_refl @t1 @t14 @t665) (tptp.related_reflexive @t199 @t219 (tptp.cast_to_el_of_LattPOSet @t1 @t665)))) % 60.71/60.96 (define @t668 () (not (tptp.element @t665 @t3))) % 60.71/60.96 (define @t669 () (or @t641 @t668 @t667)) % 60.71/60.96 (define @t670 () (@list @t14 @t665)) % 60.71/60.96 (define @t671 () (forall @t670 @t669)) % 60.71/60.96 (define @t672 () (or @t54 @t632 @t631 @t671)) % 60.71/60.96 (define @t673 () (or @t668 @t667)) % 60.71/60.96 (define @t674 () (or @t641 @t673)) % 60.71/60.96 (define @t675 () (forall @t670 @t674)) % 60.71/60.96 (define @t676 () (@list @t665)) % 60.71/60.96 (define @t677 () (forall @t676 @t674)) % 60.71/60.96 (define @t678 () (forall @t676 @t673)) % 60.71/60.96 (define @t679 () (@list @t63)) % 60.71/60.96 (define @t680 () (or @t641 @t678)) % 60.71/60.96 (define @t681 () (not @t79)) % 60.71/60.96 (define @t682 () (forall @t124 (or @t681 @t620))) % 60.71/60.96 (define @t683 () (tptp.the_carrier @t657)) % 60.71/60.96 (define @t684 () (tptp.element @t656 @t683)) % 60.71/60.96 (define @t685 () (@quantifiers_skolemize @t655 2)) % 60.71/60.96 (define @t686 () (tptp.cast_to_el_of_LattPOSet @t657 @t685)) % 60.71/60.96 (define @t687 () (tptp.cast_to_el_of_LattPOSet @t657 @t656)) % 60.71/60.96 (define @t688 () (tptp.poset_of_lattice @t657)) % 60.71/60.96 (define @t689 () (tptp.related_reflexive @t688 @t687 @t686)) % 60.71/60.96 (define @t690 () (tptp.below_refl @t657 @t656 @t685)) % 60.71/60.96 (define @t691 () (= @t690 @t689)) % 60.71/60.96 (define @t692 () (tptp.element @t685 @t683)) % 60.71/60.96 (define @t693 () (not @t692)) % 60.71/60.96 (define @t694 () (not @t684)) % 60.71/60.96 (define @t695 () (tptp.latt_str @t657)) % 60.71/60.96 (define @t696 () (not @t695)) % 60.71/60.96 (define @t697 () (tptp.lattice @t657)) % 60.71/60.96 (define @t698 () (not @t697)) % 60.71/60.96 (define @t699 () (tptp.empty_carrier @t657)) % 60.71/60.96 (define @t700 () (or @t699 @t698 @t696 @t694 @t693 @t691)) % 60.71/60.96 (define @t701 () (@list true)) % 60.71/60.96 (define @t702 () (@list @t700)) % 60.71/60.96 (define @t703 () (= @t656 @t687)) % 60.71/60.96 (define @t704 () (or @t699 @t698 @t696 @t694 @t703)) % 60.71/60.96 (define @t705 () (@list true false false false false)) % 60.71/60.96 (define @t706 () (@list @t657 @t685)) % 60.71/60.96 (define @t707 () (= @t685 @t686)) % 60.71/60.96 (define @t708 () (or @t699 @t698 @t696 @t693 @t707)) % 60.71/60.96 (define @t709 () (@list @t657)) % 60.71/60.96 (define @t710 () (tptp.a_1_0_filter_1 @t657)) % 60.71/60.96 (define @t711 () (tptp.relation_of_lattice @t657)) % 60.71/60.96 (define @t712 () (= @t711 @t710)) % 60.71/60.96 (define @t713 () (or @t699 @t698 @t696 @t712)) % 60.71/60.96 (define @t714 () (@list true false false false)) % 60.71/60.96 (define @t715 () (tptp.k2_lattice3 @t657)) % 60.71/60.96 (define @t716 () (= @t715 @t711)) % 60.71/60.96 (define @t717 () (or @t699 @t698 @t696 @t716)) % 60.71/60.96 (define @t718 () (= @t97 @t304)) % 60.71/60.96 (define @t719 () (not @t305)) % 60.71/60.96 (define @t720 () (not @t306)) % 60.71/60.96 (define @t721 () (or @t33 @t206 @t720 @t719 @t718)) % 60.71/60.96 (define @t722 () (not @t307)) % 60.71/60.96 (define @t723 () (not @t207)) % 60.71/60.96 (define @t724 () (or @t723 @t722 @t720 @t719)) % 60.71/60.96 (define @t725 () (tptp.ordered_pair @t656 @t685)) % 60.71/60.96 (define @t726 () (tptp.ordered_pair_as_product_element @t683 @t683 @t656 @t685)) % 60.71/60.96 (define @t727 () (tptp.empty @t683)) % 60.71/60.96 (define @t728 () (or @t727 @t727 @t694 @t693 (= @t725 @t726))) % 60.71/60.96 (define @t729 () (forall @t150 @t721)) % 60.71/60.96 (define @t730 () (= @t726 @t725)) % 60.71/60.96 (define @t731 () (or @t727 @t727 @t694 @t693 @t730)) % 60.71/60.96 (define @t732 () (@list false)) % 60.71/60.96 (define @t733 () (not @t187)) % 60.71/60.96 (define @t734 () (tptp.meet_semilatt_str @t657)) % 60.71/60.96 (define @t735 () (and @t734 (tptp.join_semilatt_str @t657))) % 60.71/60.96 (define @t736 () (or @t696 @t735)) % 60.71/60.96 (define @t737 () (@list false false)) % 60.71/60.96 (define @t738 () (tptp.one_sorted_str @t657)) % 60.71/60.96 (define @t739 () (not @t734)) % 60.71/60.96 (define @t740 () (or @t739 @t738)) % 60.71/60.96 (define @t741 () (not @t727)) % 60.71/60.96 (define @t742 () (not @t738)) % 60.71/60.96 (define @t743 () (or @t699 @t742 @t741)) % 60.71/60.96 (define @t744 () (@var "BOUND_VARIABLE_14670" $$unsorted)) % 60.71/60.96 (define @t745 () (@var "BOUND_VARIABLE_14668" $$unsorted)) % 60.71/60.96 (define @t746 () (and (= @t1 @t745) (= @t14 @t744))) % 60.71/60.96 (define @t747 () (not (= @t287 (tptp.rel_str_of @t745 @t744)))) % 60.71/60.96 (define @t748 () (not @t289)) % 60.71/60.96 (define @t749 () (or @t747 @t746)) % 60.71/60.96 (define @t750 () (or @t748 @t749)) % 60.71/60.96 (define @t751 () (forall (@list @t1 @t14 @t745 @t744) @t750)) % 60.71/60.96 (define @t752 () (@list @t745 @t744)) % 60.71/60.96 (define @t753 () (forall @t752 @t750)) % 60.71/60.96 (define @t754 () (forall @t752 @t749)) % 60.71/60.96 (define @t755 () (or @t748 @t754)) % 60.71/60.96 (define @t756 () (forall @t99 (or (not @t398) @t397))) % 60.71/60.96 (define @t757 () (tptp.the_InternalRel @t688)) % 60.71/60.96 (define @t758 () (tptp.the_carrier @t688)) % 60.71/60.96 (define @t759 () (not @t5)) % 60.71/60.96 (define @t760 () (not @t7)) % 60.71/60.96 (define @t761 () (tptp.rel_str @t688)) % 60.71/60.96 (define @t762 () (tptp.antisymmetric_relstr @t688)) % 60.71/60.96 (define @t763 () (tptp.transitive_relstr @t688)) % 60.71/60.96 (define @t764 () (tptp.reflexive_relstr @t688)) % 60.71/60.96 (define @t765 () (tptp.strict_rel_str @t688)) % 60.71/60.96 (define @t766 () (and @t765 @t764 @t763 @t762 @t761)) % 60.71/60.96 (define @t767 () (or @t699 @t698 @t696 @t766)) % 60.71/60.96 (define @t768 () (not @t766)) % 60.71/60.96 (define @t769 () (@list @t766)) % 60.71/60.96 (define @t770 () (tptp.rel_str_of @t758 @t757)) % 60.71/60.96 (define @t771 () (= @t688 @t770)) % 60.71/60.96 (define @t772 () (not @t765)) % 60.71/60.96 (define @t773 () (not @t761)) % 60.71/60.96 (define @t774 () (or @t773 @t772 @t771)) % 60.71/60.96 (define @t775 () (@list false false false)) % 60.71/60.96 (define @t776 () (tptp.rel_str_of @t683 @t715)) % 60.71/60.96 (define @t777 () (= @t688 @t776)) % 60.71/60.96 (define @t778 () (or @t699 @t698 @t696 @t777)) % 60.71/60.96 (define @t779 () (tptp.relation_of2_as_subset @t715 @t683 @t683)) % 60.71/60.96 (define @t780 () (and (tptp.reflexive @t715) (tptp.antisymmetric @t715) (tptp.transitive @t715) (tptp.v1_partfun1 @t715 @t683 @t683) @t779)) % 60.71/60.96 (define @t781 () (or @t699 @t698 @t696 @t780)) % 60.71/60.96 (define @t782 () (tptp.relation_of2 @t715 @t683 @t683)) % 60.71/60.96 (define @t783 () (= @t779 @t782)) % 60.71/60.96 (define @t784 () (= @t715 @t757)) % 60.71/60.96 (define @t785 () (and (= @t683 @t758) @t784)) % 60.71/60.96 (define @t786 () (= @t776 @t770)) % 60.71/60.96 (define @t787 () (not @t786)) % 60.71/60.96 (define @t788 () (not @t782)) % 60.71/60.96 (define @t789 () (or @t788 @t787 @t785)) % 60.71/60.96 (define @t790 () (@var "BOUND_VARIABLE_19070" $$unsorted)) % 60.71/60.96 (define @t791 () (@var "BOUND_VARIABLE_19068" $$unsorted)) % 60.71/60.96 (define @t792 () (= (tptp.below_refl @t1 @t791 @t790) (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t791 @t790) @t269))) % 60.71/60.96 (define @t793 () (not (tptp.element @t790 @t3))) % 60.71/60.96 (define @t794 () (not (tptp.element @t791 @t3))) % 60.71/60.96 (define @t795 () (or @t794 @t793 @t792)) % 60.71/60.96 (define @t796 () (or @t54 @t632 @t631 @t795)) % 60.71/60.96 (define @t797 () (forall (@list @t1 @t791 @t790) @t796)) % 60.71/60.96 (define @t798 () (@list @t791 @t790)) % 60.71/60.96 (define @t799 () (forall @t798 @t796)) % 60.71/60.96 (define @t800 () (forall @t798 @t795)) % 60.71/60.96 (define @t801 () (@var "BOUND_VARIABLE_19050" $$unsorted)) % 60.71/60.96 (define @t802 () (or @t54 @t632 @t631 @t800)) % 60.71/60.96 (define @t803 () (= (tptp.below_refl @t1 @t14 @t801) (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t14 @t801) @t269))) % 60.71/60.96 (define @t804 () (not (tptp.element @t801 @t3))) % 60.71/60.96 (define @t805 () (or @t641 @t804 @t803)) % 60.71/60.96 (define @t806 () (@list @t14 @t801)) % 60.71/60.96 (define @t807 () (forall @t806 @t805)) % 60.71/60.96 (define @t808 () (or @t54 @t632 @t631 @t807)) % 60.71/60.96 (define @t809 () (or @t804 @t803)) % 60.71/60.96 (define @t810 () (or @t641 @t809)) % 60.71/60.96 (define @t811 () (forall @t806 @t810)) % 60.71/60.96 (define @t812 () (@list @t801)) % 60.71/60.96 (define @t813 () (forall @t812 @t810)) % 60.71/60.96 (define @t814 () (forall @t812 @t809)) % 60.71/60.96 (define @t815 () (or @t641 @t814)) % 60.71/60.96 (define @t816 () (= @t426 @t597)) % 60.71/60.96 (define @t817 () (forall @t124 (or @t681 @t816))) % 60.71/60.96 (define @t818 () (tptp.in @t726 @t711)) % 60.71/60.96 (define @t819 () (= @t690 @t818)) % 60.71/60.96 (define @t820 () (or @t699 @t698 @t696 @t694 @t693 @t819)) % 60.71/60.96 (define @t821 () (@list true false false false false false)) % 60.71/60.96 (define @t822 () (not @t819)) % 60.71/60.96 (define @t823 () (not @t690)) % 60.71/60.96 (define @t824 () (= @t280 @t428)) % 60.71/60.96 (define @t825 () (not @t370)) % 60.71/60.96 (define @t826 () (or @t54 @t825 @t760 @t641 @t681 @t824)) % 60.71/60.96 (define @t827 () (or @t645 @t825 @t760 @t641 @t681)) % 60.71/60.96 (define @t828 () (tptp.related @t688 @t687 @t686)) % 60.71/60.96 (define @t829 () (tptp.element @t686 @t758)) % 60.71/60.96 (define @t830 () (not @t829)) % 60.71/60.96 (define @t831 () (tptp.element @t687 @t758)) % 60.71/60.96 (define @t832 () (not @t831)) % 60.71/60.96 (define @t833 () (not @t764)) % 60.71/60.96 (define @t834 () (tptp.empty_carrier @t688)) % 60.71/60.96 (define @t835 () (or @t834 @t833 @t773 @t832 @t830 (= @t828 @t689))) % 60.71/60.96 (define @t836 () (forall @t67 @t826)) % 60.71/60.96 (define @t837 () (@list @t688 @t687 @t686)) % 60.71/60.96 (define @t838 () (= @t689 @t828)) % 60.71/60.96 (define @t839 () (or @t834 @t833 @t773 @t832 @t830 @t838)) % 60.71/60.96 (define @t840 () (or @t645 @t632 @t631 @t641)) % 60.71/60.96 (define @t841 () (or @t699 @t698 @t696 @t693 @t829)) % 60.71/60.96 (define @t842 () (or @t699 @t698 @t696 @t694 @t831)) % 60.71/60.96 (define @t843 () (not @t834)) % 60.71/60.96 (define @t844 () (and @t843 @t765 @t764 @t763 @t762)) % 60.71/60.96 (define @t845 () (or @t699 @t698 @t696 @t844)) % 60.71/60.96 (define @t846 () (not @t838)) % 60.71/60.96 (define @t847 () (not @t828)) % 60.71/60.96 (define @t848 () (@var "BOUND_VARIABLE_14026" $$unsorted)) % 60.71/60.96 (define @t849 () (@var "BOUND_VARIABLE_14024" $$unsorted)) % 60.71/60.96 (define @t850 () (= (tptp.related @t1 @t849 @t848) (tptp.in (tptp.ordered_pair @t849 @t848) @t2))) % 60.71/60.96 (define @t851 () (not (tptp.element @t848 @t3))) % 60.71/60.96 (define @t852 () (not (tptp.element @t849 @t3))) % 60.71/60.96 (define @t853 () (or @t852 @t851 @t850)) % 60.71/60.96 (define @t854 () (or @t760 @t853)) % 60.71/60.96 (define @t855 () (forall (@list @t1 @t849 @t848) @t854)) % 60.71/60.96 (define @t856 () (@list @t849 @t848)) % 60.71/60.96 (define @t857 () (forall @t856 @t854)) % 60.71/60.96 (define @t858 () (forall @t856 @t853)) % 60.71/60.96 (define @t859 () (@var "BOUND_VARIABLE_14006" $$unsorted)) % 60.71/60.96 (define @t860 () (or @t760 @t858)) % 60.71/60.96 (define @t861 () (= (tptp.related @t1 @t14 @t859) (tptp.in (tptp.ordered_pair @t14 @t859) @t2))) % 60.71/60.96 (define @t862 () (not (tptp.element @t859 @t3))) % 60.71/60.96 (define @t863 () (or @t641 @t862 @t861)) % 60.71/60.96 (define @t864 () (@list @t14 @t859)) % 60.71/60.96 (define @t865 () (forall @t864 @t863)) % 60.71/60.96 (define @t866 () (or @t862 @t861)) % 60.71/60.96 (define @t867 () (or @t641 @t866)) % 60.71/60.96 (define @t868 () (forall @t864 @t867)) % 60.71/60.96 (define @t869 () (@list @t859)) % 60.71/60.96 (define @t870 () (forall @t869 @t867)) % 60.71/60.96 (define @t871 () (forall @t869 @t866)) % 60.71/60.96 (define @t872 () (or @t641 @t871)) % 60.71/60.96 (define @t873 () (forall @t124 (or @t681 @t281))) % 60.71/60.96 (define @t874 () (tptp.ordered_pair @t687 @t686)) % 60.71/60.96 (define @t875 () (tptp.in @t874 @t757)) % 60.71/60.96 (define @t876 () (= @t828 @t875)) % 60.71/60.96 (define @t877 () (or @t773 @t832 @t830 @t876)) % 60.71/60.96 (define @t878 () (not @t876)) % 60.71/60.96 (define @t879 () (not @t875)) % 60.71/60.96 (define @t880 () (tptp.in @t726 @t710)) % 60.71/60.96 (define @t881 () (and @t703 @t707 @t712 @t716 @t818 @t730 @t784)) % 60.71/60.96 (define @t882 () (not @t784)) % 60.71/60.96 (define @t883 () (not @t730)) % 60.71/60.96 (define @t884 () (not @t818)) % 60.71/60.96 (define @t885 () (not @t716)) % 60.71/60.96 (define @t886 () (not @t712)) % 60.71/60.96 (define @t887 () (not @t707)) % 60.71/60.96 (define @t888 () (not @t703)) % 60.71/60.96 (define @t889 () (and @t703 @t707 @t712 @t716 @t884 @t730 @t784)) % 60.71/60.96 (assume @p1 @t9) % 60.71/60.96 (assume @p2 (forall @t8 (=> @t13 (=> @t12 (= @t1 (tptp.latt_str_of @t3 @t11 @t10)))))) % 60.71/60.96 (assume @p3 (forall @t18 (=> @t17 @t16))) % 60.71/60.96 (assume @p4 (forall @t18 (=> @t20 (not @t19)))) % 60.71/60.96 (assume @p5 (forall @t8 (=> @t24 (forall @t23 (=> @t22 @t21))))) % 60.71/60.96 (assume @p6 (forall @t8 (=> @t26 (forall @t23 (=> @t22 (and @t21 @t25)))))) % 60.71/60.96 (assume @p7 (forall @t8 (=> @t28 (forall @t23 (=> @t22 (and @t21 @t25 @t27)))))) % 60.71/60.96 (assume @p8 (forall @t8 (=> @t30 (forall @t23 (=> @t22 (and @t21 @t25 @t29 @t27)))))) % 60.71/60.96 (assume @p9 (forall @t8 (=> @t32 (forall @t23 (=> @t22 (and @t21 @t31 @t25 @t29 @t27)))))) % 60.71/60.96 (assume @p10 (forall @t8 (=> @t33 (and @t24 @t26 @t28 @t30 @t32)))) % 60.71/60.96 (assume @p11 (forall @t8 (=> @t24 (forall @t23 (=> @t36 @t34))))) % 60.71/60.96 (assume @p12 (forall @t8 (=> @t26 (forall @t23 (=> @t36 (and @t34 @t37)))))) % 60.71/60.96 (assume @p13 (forall @t8 (=> @t28 (forall @t23 (=> @t36 (and @t34 @t37 @t38)))))) % 60.71/60.96 (assume @p14 (forall @t8 (=> @t30 (forall @t23 (=> @t36 (and @t34 @t37 @t38 @t39)))))) % 60.71/60.96 (assume @p15 (forall @t8 (=> @t43 (forall @t23 (=> @t22 (and @t42 @t41 @t40)))))) % 60.71/60.96 (assume @p16 (forall @t8 (=> @t33 @t44))) % 60.71/60.96 (assume @p17 (forall @t8 (=> @t46 @t45))) % 60.71/60.96 (assume @p18 (forall @t8 (=> @t33 @t47))) % 60.71/60.96 (assume @p19 (forall @t8 (=> @t13 (=> @t58 @t56)))) % 60.71/60.96 (assume @p20 (forall @t8 (=> @t32 @t30))) % 60.71/60.96 (assume @p21 (forall @t8 (=> @t43 @t61))) % 60.71/60.96 (assume @p22 (forall @t8 (=> @t33 @t62))) % 60.71/60.96 (assume @p23 (forall @t67 (=> @t66 @t64))) % 60.71/60.96 (assume @p24 (forall @t8 (=> @t32 (forall @t23 (=> @t36 (and @t34 @t37 @t38 @t39 (tptp.v5_membered @t14))))))) % 60.71/60.96 (assume @p25 (forall @t8 (=> (and @t33 @t43) @t69))) % 60.71/60.96 (assume @p26 (forall @t8 (=> @t44 (forall @t23 (=> @t36 @t70))))) % 60.71/60.96 (assume @p27 (forall @t8 (=> @t45 @t46))) % 60.71/60.96 (assume @p28 (forall @t8 (=> @t73 @t72))) % 60.71/60.96 (assume @p29 (forall @t8 (=> @t13 (=> @t56 @t58)))) % 60.71/60.96 (assume @p30 (forall @t8 (=> @t30 @t28))) % 60.71/60.96 (assume @p31 (forall @t8 (=> @t61 @t43))) % 60.71/60.96 (assume @p32 (forall @t8 (=> (tptp.element @t1 tptp.omega) @t69))) % 60.71/60.96 (assume @p33 (forall @t8 (=> @t28 @t26))) % 60.71/60.96 (assume @p34 (forall @t8 (=> @t33 @t74))) % 60.71/60.96 (assume @p35 (forall @t8 (=> @t26 @t24))) % 60.71/60.96 (assume @p36 (forall @t18 (= @t75 (tptp.unordered_pair @t14 @t1)))) % 60.71/60.96 (assume @p37 (forall @t18 (= @t77 @t76))) % 60.71/60.96 (assume @p38 (forall @t67 (=> @t82 (= @t78 (tptp.join_commut @t1 @t63 @t14))))) % 60.71/60.96 (assume @p39 (forall @t18 (= @t84 @t83))) % 60.71/60.96 (assume @p40 (forall @t67 (=> @t87 (= @t85 (tptp.meet_commut @t1 @t63 @t14))))) % 60.71/60.96 (assume @p41 (forall @t67 (=> @t90 (= @t88 (tptp.subset_union2 @t1 @t63 @t14))))) % 60.71/60.96 (assume @p42 (forall @t67 (=> @t90 (= @t91 (tptp.subset_intersection2 @t1 @t63 @t14))))) % 60.71/60.96 (assume @p43 (forall @t18 (=> @t93 (or @t92 (tptp.ordinal_subset @t14 @t1))))) % 60.71/60.96 (assume @p44 (forall @t18 (=> @t102 (= @t101 (forall @t99 (= @t98 (and @t96 @t95))))))) % 60.71/60.96 (assume @p45 (forall @t18 (= @t105 (and @t104 @t103)))) % 60.71/60.96 (assume @p46 (forall @t8 (=> @t62 (forall @t113 (=> @t64 (= (= @t63 @t112) (forall @t111 (= @t110 (and @t109 @t108))))))))) % 60.71/60.96 (assume @p47 (forall @t8 (=> @t121 (forall @t113 (= @t120 (forall @t118 (= @t117 (exists @t116 (and (tptp.in @t106 @t115) @t114 (= @t94 (tptp.apply @t1 @t106))))))))))) % 60.71/60.96 (assume @p48 (forall @t18 (=> @t102 (forall @t124 (=> @t64 (= (= @t63 @t123) (forall @t111 (= @t110 (and @t122 (tptp.in @t107 @t14)))))))))) % 60.71/60.96 (assume @p49 (forall @t8 (=> @t62 (= @t126 (tptp.is_antisymmetric_in @t1 @t125))))) % 60.71/60.96 (assume @p50 (forall @t8 (=> @t121 (forall @t113 (= @t129 (forall @t118 (= @t117 (and @t128 (tptp.in @t127 @t14))))))))) % 60.71/60.96 (assume @p51 (forall @t8 (=> @t133 (= @t132 (exists @t23 (and @t80 @t131)))))) % 60.71/60.96 (assume @p52 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (forall @t124 (=> @t137 (= (= @t63 @t136) (forall @t118 (=> (tptp.in @t94 @t3) (= @t117 (forall @t116 (=> @t135 (not (and (tptp.open_subset @t106 @t1) (tptp.in @t94 @t106) (tptp.disjoint @t14 @t106)))))))))))))))) % 60.71/60.96 (assume @p53 (forall @t8 (=> @t62 (forall @t113 (= @t120 (forall @t118 (= @t117 (exists @t116 (and (tptp.in @t140 @t1) @t114))))))))) % 60.71/60.96 (assume @p54 (forall @t8 (=> @t62 (forall @t113 (= @t129 (forall @t118 (= @t117 (exists @t116 (and @t108 @t114))))))))) % 60.71/60.96 (assume @p55 (forall @t8 (=> @t62 (= @t141 (tptp.is_connected_in @t1 @t125))))) % 60.71/60.96 (assume @p56 (forall @t8 (=> @t133 (=> @t132 (forall @t23 (=> @t80 (= (= @t14 @t142) @t131))))))) % 60.71/60.96 (assume @p57 (forall @t8 (=> @t62 (= @t143 (tptp.is_transitive_in @t1 @t125))))) % 60.71/60.96 (assume @p58 (forall @t8 (=> @t121 (forall @t113 (= (tptp.apply_binary @t1 @t14 @t63) (tptp.apply @t1 @t144)))))) % 60.71/60.96 (assume @p59 (forall @t8 (=> @t148 (forall @t23 (=> @t80 (forall @t124 (=> @t137 (= @t146 (tptp.in @t14 @t145))))))))) % 60.71/60.96 (assume @p60 (forall @t150 (= (= @t94 (tptp.unordered_triple @t1 @t14 @t63)) (forall @t116 (= @t149 (not (and (not (= @t106 @t1)) (not (= @t106 @t14)) (not (= @t106 @t63))))))))) % 60.71/60.96 (assume @p61 (forall @t8 (= @t44 (exists @t23 (and @t102 @t153 (= @t152 @t1) (tptp.in @t151 tptp.omega)))))) % 60.71/60.96 (assume @p62 (forall @t8 (= @t47 (forall @t156 (=> (and @t155 @t154) @t95))))) % 60.71/60.96 (assume @p63 (forall @t67 (=> @t162 (and (=> (=> @t160 @t159) (= @t158 (= @t1 @t161))) (=> @t160 (or @t159 (= @t158 @t157))))))) % 60.71/60.96 (assume @p64 (forall @t18 (=> (and (tptp.strict_latt_str @t14) @t166) (= (= @t14 @t165) (and (= @t164 @t35) (forall @t124 (=> @t89 (forall @t118 (=> @t163 (and (= (tptp.apply_binary (tptp.the_L_join @t14) @t63 @t94) (tptp.subset_union2 @t1 @t63 @t94)) (= (tptp.apply_binary (tptp.the_L_meet @t14) @t63 @t94) (tptp.subset_intersection2 @t1 @t63 @t94)))))))))))) % 60.71/60.96 (assume @p65 (forall @t8 (=> @t168 (forall @t23 (=> @t80 (forall @t124 (=> @t79 (= @t167 (tptp.apply_binary_as_element @t3 @t3 @t3 @t11 @t14 @t63))))))))) % 60.71/60.96 (assume @p66 (forall @t8 (=> @t171 (forall @t23 (= (= @t14 (tptp.pair_first @t1)) (forall @t99 (=> @t170 @t169))))))) % 60.71/60.96 (assume @p67 (forall @t8 (= @t173 (tptp.set_union2 @t1 @t172)))) % 60.71/60.96 (assume @p68 (forall @t8 (=> @t139 (= @t147 (and (tptp.in @t3 @t174) (forall @t23 (=> @t178 (=> (tptp.subset @t14 @t174) (tptp.in @t176 @t174)))) (forall @t23 (=> @t138 (forall @t124 (=> @t137 (=> (and @t175 (tptp.in @t63 @t174)) (tptp.in (tptp.subset_intersection2 @t3 @t14 @t63) @t174))))))))))) % 60.71/60.96 (assume @p69 (forall @t8 (= @t62 (forall @t23 (not (and @t15 (forall @t99 (not (= @t14 @t97))))))))) % 60.71/60.96 (assume @p70 (forall @t8 (=> @t62 (forall @t23 (= @t180 (forall @t124 (=> @t179 (tptp.in (tptp.ordered_pair @t63 @t63) @t1)))))))) % 60.71/60.96 (assume @p71 (forall @t67 (= @t181 (tptp.subset @t63 @t65)))) % 60.71/60.96 (assume @p72 (forall @t18 (and (=> @t185 (= @t182 (forall @t124 (= @t179 (forall @t118 (=> @t184 @t183)))))) (=> @t159 (= @t182 @t160))))) % 60.71/60.96 (assume @p73 (forall @t8 (=> @t187 (= @t54 @t186)))) % 60.71/60.96 (assume @p74 (forall @t18 (= (= @t14 @t172) (forall @t124 (= @t179 (= @t63 @t1)))))) % 60.71/60.96 (assume @p75 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (= @t189 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t188)))))))) % 60.71/60.96 (assume @p76 (forall @t8 (=> @t139 (forall @t23 (=> @t178 (= @t191 (forall @t124 (=> @t137 (=> @t179 @t190))))))))) % 60.71/60.96 (assume @p77 (forall @t8 (=> @t62 (forall @t113 (= (= @t63 (tptp.fiber @t1 @t14)) (forall @t118 (= @t117 (and (not @t192) (tptp.in (tptp.ordered_pair @t94 @t14) @t1))))))))) % 60.71/60.96 (assume @p78 (forall @t18 (=> @t102 (= (= @t14 @t195) (and (= @t194 @t1) (forall @t99 (=> (and @t96 @t184) (= @t98 @t193)))))))) % 60.71/60.96 (assume @p79 (forall @t8 (= @t159 (forall @t23 @t16)))) % 60.71/60.96 (assume @p80 (forall @t18 (= (= @t14 @t35) (forall @t124 (= @t179 (tptp.subset @t63 @t1)))))) % 60.71/60.96 (assume @p81 (forall @t8 (= (tptp.centered @t1) (and @t185 (forall @t23 (not (and @t197 @t103 @t70 (= @t196 tptp.empty_set)))))))) % 60.71/60.96 (assume @p82 @t202) % 60.71/60.96 (assume @p83 (forall @t8 (=> @t133 (forall @t23 (=> @t80 (forall @t124 (=> @t79 (= @t130 (tptp.apply_binary_as_element @t3 @t3 @t3 @t10 @t14 @t63))))))))) % 60.71/60.96 (assume @p84 (forall @t8 (=> @t171 (forall @t23 (= (= @t14 (tptp.pair_second @t1)) (forall @t99 (=> @t170 @t203))))))) % 60.71/60.96 (assume @p85 (forall @t8 (= @t60 (forall @t23 (=> @t15 @t103))))) % 60.71/60.96 (assume @p86 (forall @t8 (=> @t187 (= @t204 tptp.empty_set)))) % 60.71/60.96 (assume @p87 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (= @t105 (forall @t99 (= @t205 @t98)))))))) % 60.71/60.96 (assume @p88 (forall @t18 (and (=> @t207 (= @t22 @t15)) (=> @t33 (= @t22 @t206))))) % 60.71/60.96 (assume @p89 (forall @t67 (= (= @t63 @t75) (forall @t118 (= @t117 (or (= @t94 @t1) @t192)))))) % 60.71/60.96 (assume @p90 (forall @t8 (=> @t139 (forall @t23 (=> @t178 (= @t209 @t208)))))) % 60.71/60.96 (assume @p91 (forall @t8 (=> @t62 (= @t210 (forall @t23 (not (and (tptp.subset @t14 @t125) @t197 (forall @t124 (not (and @t179 (tptp.disjoint (tptp.fiber @t1 @t63) @t14))))))))))) % 60.71/60.96 (assume @p92 (forall @t67 (= (= @t63 @t77) (forall @t118 (= @t117 (or @t184 @t109)))))) % 60.71/60.96 (assume @p93 (forall @t67 (= (= @t63 @t65) (forall @t118 (= @t117 (exists @t214 (and @t122 @t213 (= @t94 @t212)))))))) % 60.71/60.96 (assume @p94 (forall @t8 (=> @t139 (= @t218 (forall @t23 (=> @t178 (not (and @t217 @t191 (forall @t124 (=> @t216 (not (and @t215 (tptp.is_a_cover_of_carrier @t1 @t63) (tptp.finite @t63))))))))))))) % 60.71/60.96 (assume @p95 @t223) % 60.71/60.96 (assume @p96 (forall @t8 (=> @t168 (forall @t23 (=> @t80 (forall @t124 (=> @t79 (= @t224 (= @t167 @t63))))))))) % 60.71/60.96 (assume @p97 (forall @t8 (= @t59 (forall @t113 (not (and @t15 @t96 (not @t227) @t226 @t225)))))) % 60.71/60.96 (assume @p98 (forall @t8 (=> @t187 (= @t228 @t3)))) % 60.71/60.96 (assume @p99 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (= @t104 (forall @t99 (=> @t205 @t98)))))))) % 60.71/60.96 (assume @p100 (forall @t18 (= @t104 @t229))) % 60.71/60.96 (assume @p101 (forall @t8 (=> @t62 (forall @t23 (= @t231 (forall @t124 (not (and @t215 @t230 (forall @t118 (not (and @t117 (tptp.disjoint (tptp.fiber @t1 @t94) @t63)))))))))))) % 60.71/60.96 (assume @p102 (forall @t67 (= (= @t63 @t84) (forall @t118 (= @t117 (and @t184 @t109)))))) % 60.71/60.96 (assume @p103 (forall @t8 (=> @t121 (forall @t113 (and (=> @t234 (= @t233 @t155)) (=> (not @t234) (= @t233 @t157))))))) % 60.71/60.96 (assume @p104 (forall @t8 (= @t43 @t61))) % 60.71/60.96 (assume @p105 (forall @t8 (=> @t62 (forall @t23 (= (= @t14 @t115) (forall @t124 (= @t179 (exists @t118 @t205)))))))) % 60.71/60.96 (assume @p106 (forall @t8 (=> @t62 (forall @t23 (= @t236 (forall @t99 (=> (and @t179 @t109 @t205 @t235) @t95))))))) % 60.71/60.96 (assume @p107 (forall @t8 (= @t237 @t1))) % 60.71/60.96 (assume @p108 (forall @t18 (= (= @t14 @t238) (forall @t124 (= @t179 (exists @t118 (and @t183 @t184))))))) % 60.71/60.96 (assume @p109 (forall @t8 (=> @t62 (= @t240 (and @t239 @t143 @t126 @t141 @t210))))) % 60.71/60.96 (assume @p110 (forall @t18 (= @t246 (exists @t124 (and @t64 @t245 @t244 @t243 (= @t241 @t14)))))) % 60.71/60.96 (assume @p111 (forall @t67 (= (= @t63 @t247) (forall @t118 (= @t117 (and @t184 (not @t109))))))) % 60.71/60.96 (assume @p112 (forall @t8 (=> @t121 (forall @t23 (= @t250 (forall @t124 (= @t179 (exists @t118 @t248)))))))) % 60.71/60.96 (assume @p113 (forall @t8 (=> @t7 (= @t251 (tptp.is_transitive_in @t2 @t3))))) % 60.71/60.96 (assume @p114 (forall @t8 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t252 @t43 (forall @t23 (=> @t40 (=> (and (tptp.in tptp.empty_set @t14) (tptp.being_limit_ordinal @t14)) @t104))))))) % 60.71/60.96 (assume @p115 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (= @t253 @t175)))))) % 60.71/60.96 (assume @p116 (forall @t8 (=> @t62 (forall @t23 (= @t250 (forall @t124 (= @t179 (exists @t118 @t235)))))))) % 60.71/60.96 (assume @p117 (forall @t18 (=> @t36 (= @t254 @t247)))) % 60.71/60.96 (assume @p118 (forall @t18 (= @t255 (tptp.unordered_pair @t75 @t172)))) % 60.71/60.96 (assume @p119 (forall @t8 (=> @t62 (forall @t23 (= (tptp.well_orders @t1 @t14) (and @t180 @t257 @t236 @t256 @t231)))))) % 60.71/60.96 (assume @p120 (forall @t8 (=> @t7 (= @t258 (tptp.is_antisymmetric_in @t2 @t3))))) % 60.71/60.96 (assume @p121 (forall @t8 (= @t252 (= @t1 @t238)))) % 60.71/60.96 (assume @p122 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (= @t260 (tptp.open_subset @t259 @t1))))))) % 60.71/60.96 (assume @p123 (forall @t8 (=> @t62 (= @t125 (tptp.set_union2 @t115 @t249))))) % 60.71/60.96 (assume @p124 (forall @t8 (=> @t62 (forall @t23 (= @t256 (forall @t99 (not (and @t179 @t109 (not @t95) (not @t205) (not @t235))))))))) % 60.71/60.96 (assume @p125 (forall @t8 (=> @t62 (forall @t23 (= @t262 (tptp.set_intersection2 @t1 @t261)))))) % 60.71/60.96 (assume @p126 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (= (= @t14 @t263) (forall @t99 (= @t98 @t235)))))))) % 60.71/60.96 (assume @p127 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (forall @t124 (=> @t267 (= @t266 (and (= @t242 @t125) (= @t241 @t194) @t244 (forall @t111 (= @t108 (and (tptp.in @t94 @t125) (tptp.in @t106 @t125) (tptp.in (tptp.ordered_pair @t265 @t264) @t14))))))))))))) % 60.71/60.96 (assume @p128 (forall @t18 (= @t268 (= @t84 tptp.empty_set)))) % 60.71/60.96 (assume @p129 @t271) % 60.71/60.96 (assume @p130 (forall @t8 (=> @t121 (= @t71 (forall @t113 (=> (and @t234 (tptp.in @t63 @t115) (= @t232 (tptp.apply @t1 @t63))) @t169)))))) % 60.71/60.96 (assume @p131 (forall @t8 (=> (and @t55 @t13) (= @t49 (forall @t23 (=> @t80 (forall @t124 (=> @t79 (= (tptp.join @t1 @t130 @t63) @t63))))))))) % 60.71/60.96 (assume @p132 (forall @t8 (=> @t187 (forall @t23 (=> @t178 (= @t217 (= @t228 @t176))))))) % 60.71/60.96 (assume @p133 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (forall @t124 (=> @t64 (= (= @t63 @t273) (forall @t111 (= @t110 (exists @t272 (and (tptp.in (tptp.ordered_pair @t94 @t211) @t1) (tptp.in (tptp.ordered_pair @t211 @t106) @t14))))))))))))) % 60.71/60.96 (assume @p134 (forall @t8 (=> @t62 (forall @t23 (= @t257 (forall @t274 (=> (and @t179 @t109 @t114 @t205 @t108) (tptp.in (tptp.ordered_pair @t63 @t106) @t1)))))))) % 60.71/60.96 (assume @p135 (forall @t18 (=> @t277 (forall @t124 (=> (tptp.element @t63 @t276) (= (= @t63 @t275) (forall @t118 (=> @t163 (= @t117 (tptp.in (tptp.subset_complement @t1 @t94) @t14)))))))))) % 60.71/60.96 (assume @p136 (forall @t18 (= @t20 (and @t104 @t278)))) % 60.71/60.96 (assume @p137 (forall @t8 (=> @t121 (=> @t71 (= @t279 @t263))))) % 60.71/60.96 (assume @p138 @t286) % 60.71/60.96 (assume @p139 (forall @t8 (=> @t62 (= @t239 (tptp.is_reflexive_in @t1 @t125))))) % 60.71/60.96 (assume @p140 (forall @t18 (=> @t289 (and @t288 (tptp.rel_str @t287))))) % 60.71/60.96 (assume @p141 (forall @t67 (=> @t297 (and @t291 (tptp.latt_str @t290))))) % 60.71/60.96 (assume @p142 (forall @t150 (=> @t303 (tptp.element @t299 (tptp.the_carrier @t298))))) % 60.71/60.96 (assume @p143 true) % 60.71/60.96 (assume @p144 (forall @t150 (=> @t308 (tptp.element @t304 @t65)))) % 60.71/60.96 (assume @p145 (forall @t8 (and @t309 (tptp.latt_str @t165)))) % 60.71/60.96 (assume @p146 (forall @t67 (=> (and @t55 @t81 @t80 @t79) (tptp.element @t167 @t3)))) % 60.71/60.96 (assume @p147 (forall @t8 (=> @t187 (tptp.element @t204 @t134)))) % 60.71/60.96 (assume @p148 (forall @t18 (=> @t310 (tptp.element @t189 @t134)))) % 60.71/60.96 (assume @p149 (forall @t8 (tptp.relation @t195))) % 60.71/60.96 (assume @p150 (forall @t314 (=> @t313 (tptp.element @t311 @t63)))) % 60.71/60.96 (assume @p151 (forall @t8 (=> @t121 (and (tptp.relation @t279) (tptp.function @t279))))) % 60.71/60.96 (assume @p152 @t316) % 60.71/60.96 (assume @p153 (forall @t67 (=> (and @t55 @t86 @t80 @t79) (tptp.element @t130 @t3)))) % 60.71/60.96 (assume @p154 (forall @t8 (=> @t187 (tptp.element @t228 @t134)))) % 60.71/60.96 (assume @p155 (forall @t8 (tptp.element @t237 @t35))) % 60.71/60.96 (assume @p156 (forall @t18 (=> @t62 (tptp.relation @t262)))) % 60.71/60.96 (assume @p157 @t322) % 60.71/60.96 (assume @p158 (forall @t67 (=> @t82 (tptp.element @t78 @t3)))) % 60.71/60.96 (assume @p159 (forall @t18 (=> @t36 (tptp.element @t254 @t35)))) % 60.71/60.96 (assume @p160 @t325) % 60.71/60.96 (assume @p161 (forall @t67 (=> @t87 (tptp.element @t85 @t3)))) % 60.71/60.96 (assume @p162 (forall @t8 (=> @t62 @t326))) % 60.71/60.96 (assume @p163 (forall @t67 (=> @t181 (tptp.element @t161 @t35)))) % 60.71/60.96 (assume @p164 (forall @t67 (=> @t90 (tptp.element @t88 @t35)))) % 60.71/60.96 (assume @p165 (forall @t8 (=> @t133 (tptp.element @t142 @t3)))) % 60.71/60.96 (assume @p166 (forall @t18 (=> @t328 @t327))) % 60.71/60.96 (assume @p167 (forall @t67 (=> @t181 (tptp.element @t330 @t329)))) % 60.71/60.96 (assume @p168 (forall @t18 (=> @t277 (tptp.element @t331 @t35)))) % 60.71/60.96 (assume @p169 (forall @t67 (=> @t90 (tptp.element @t91 @t35)))) % 60.71/60.96 (assume @p170 (forall @t18 (=> @t310 (tptp.element @t136 @t134)))) % 60.71/60.96 (assume @p171 (forall @t8 @t332)) % 60.71/60.96 (assume @p172 (forall @t18 (=> @t277 (tptp.element @t333 @t35)))) % 60.71/60.96 (assume @p173 (forall @t67 (=> @t90 (tptp.element @t334 @t35)))) % 60.71/60.96 (assume @p174 (forall @t18 (=> @t62 @t335))) % 60.71/60.96 (assume @p175 (forall @t18 (=> @t277 (tptp.element @t275 @t276)))) % 60.71/60.96 (assume @p176 (forall @t18 (=> (and @t55 @t13 @t302 @t166) (and (tptp.strict_latt_str @t298) (tptp.latt_str @t298))))) % 60.71/60.96 (assume @p177 (forall @t18 (=> @t102 @t336))) % 60.71/60.96 (assume @p178 (forall @t8 (=> @t201 (tptp.relation @t269)))) % 60.71/60.96 (assume @p179 @t337) % 60.71/60.96 (assume @p180 (forall @t8 (=> @t7 @t187))) % 60.71/60.96 (assume @p181 (forall @t8 (=> @t139 @t187))) % 60.71/60.96 (assume @p182 (forall @t8 (=> @t81 @t187))) % 60.71/60.96 (assume @p183 @t339) % 60.71/60.96 (assume @p184 (forall @t18 (=> @t340 (forall @t124 (=> @t146 @t137))))) % 60.71/60.96 (assume @p185 (forall @t67 (=> @t162 @t66))) % 60.71/60.96 (assume @p186 (forall @t8 (=> @t86 (and @t343 @t342 (tptp.relation_of2_as_subset @t10 @t341 @t3))))) % 60.71/60.96 (assume @p187 (forall @t8 (=> @t7 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 60.71/60.96 (assume @p188 (forall @t8 (=> @t139 (tptp.element @t174 @t177)))) % 60.71/60.96 (assume @p189 (forall @t8 (=> @t81 (and @t345 @t344 (tptp.relation_of2_as_subset @t11 @t341 @t3))))) % 60.71/60.96 (assume @p190 (exists @t8 @t86)) % 60.71/60.96 (assume @p191 (exists @t8 @t7)) % 60.71/60.96 (assume @p192 (exists @t8 @t139)) % 60.71/60.96 (assume @p193 (exists @t8 @t187)) % 60.71/60.96 (assume @p194 (exists @t8 @t81)) % 60.71/60.96 (assume @p195 (exists @t8 @t13)) % 60.71/60.96 (assume @p196 (forall @t18 (=> @t340 (exists @t124 @t146)))) % 60.71/60.96 (assume @p197 (forall @t18 (exists @t124 @t181))) % 60.71/60.96 (assume @p198 (forall @t8 (exists @t23 @t22))) % 60.71/60.96 (assume @p199 (forall @t18 (exists @t124 @t162))) % 60.71/60.96 (assume @p200 (forall @t18 (=> @t70 @t346))) % 60.71/60.96 (assume @p201 (forall @t18 (=> @t348 (and (tptp.empty @t347) (tptp.relation @t347))))) % 60.71/60.96 (assume @p202 (forall @t18 (=> @t44 @t346))) % 60.71/60.96 (assume @p203 (forall @t8 (=> @t33 (and (tptp.empty @t263) @t326)))) % 60.71/60.96 (assume @p204 (forall @t18 (=> @t44 (tptp.finite @t247)))) % 60.71/60.96 (assume @p205 (and @t351 @t350 @t349)) % 60.71/60.96 (assume @p206 (forall @t18 (=> (and @t62 @t47 @t70) (tptp.finite @t119)))) % 60.71/60.96 (assume @p207 (forall @t18 (=> @t353 (and @t335 (tptp.relation_empty_yielding @t112))))) % 60.71/60.96 (assume @p208 (forall @t8 (and @t354 (tptp.finite @t172)))) % 60.71/60.96 (assume @p209 (forall @t8 (and @t355 (tptp.cup_closed @t35) (tptp.diff_closed @t35) (tptp.preboolean @t35)))) % 60.71/60.96 (assume @p210 (forall @t18 (=> (and @t62 @t47 @t102 @t153) (and @t327 (tptp.function @t273))))) % 60.71/60.96 (assume @p211 (forall @t8 (and @t356 @t309))) % 60.71/60.96 (assume @p212 (forall @t18 (=> (and @t207 @t289) (and (not (tptp.empty_carrier @t287)) @t288)))) % 60.71/60.96 (assume @p213 (forall @t8 @t357)) % 60.71/60.96 (assume @p214 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 60.71/60.96 (assume @p215 (forall @t8 (=> @t187 (and (tptp.empty @t204) (tptp.v1_membered @t204) (tptp.v2_membered @t204) (tptp.v3_membered @t204) (tptp.v4_membered @t204) (tptp.v5_membered @t204))))) % 60.71/60.96 (assume @p216 (forall @t18 (=> @t328 (tptp.relation @t84)))) % 60.71/60.96 (assume @p217 @t360) % 60.71/60.96 (assume @p218 (forall @t8 @t355)) % 60.71/60.96 (assume @p219 @t351) % 60.71/60.96 (assume @p220 (forall @t18 (not (tptp.empty @t255)))) % 60.71/60.96 (assume @p221 (forall @t18 (=> @t24 @t361))) % 60.71/60.96 (assume @p222 (forall @t18 (=> @t24 @t362))) % 60.71/60.96 (assume @p223 (forall @t18 (=> @t26 (and @t361 @t363)))) % 60.71/60.96 (assume @p224 (forall @t8 (=> (and @t43 @t68) (and @t357 @t366 @t365 @t364 (tptp.natural @t173))))) % 60.71/60.96 (assume @p225 (forall @t8 (and @t332 (tptp.function @t100)))) % 60.71/60.96 (assume @p226 (forall @t8 (=> @t369 (and @t368 @t345 @t344 (tptp.v1_binop_1 @t11 @t3) @t367)))) % 60.71/60.96 (assume @p227 (forall @t8 (and @t356 @t309 (tptp.join_commutative @t165) (tptp.join_associative @t165) (tptp.meet_commutative @t165) (tptp.meet_associative @t165) (tptp.meet_absorbing @t165) (tptp.join_absorbing @t165) (tptp.lattice @t165)))) % 60.71/60.96 (assume @p228 (forall @t8 (=> (and @t370 @t251 @t258 @t7) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 60.71/60.96 (assume @p229 (and @t350 @t349 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t351 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 60.71/60.96 (assume @p230 (forall @t8 (=> @t359 (not (tptp.empty @t228))))) % 60.71/60.96 (assume @p231 (forall @t18 (=> @t328 (tptp.relation @t77)))) % 60.71/60.96 (assume @p232 (forall @t8 @t354)) % 60.71/60.96 (assume @p233 (forall @t18 (=> @t371 (tptp.closed_subset @t136 @t1)))) % 60.71/60.96 (assume @p234 (forall @t18 (=> @t207 (not (tptp.empty @t77))))) % 60.71/60.96 (assume @p235 (forall @t18 (=> @t26 (and @t362 @t372)))) % 60.71/60.96 (assume @p236 (forall @t18 (=> @t28 (and @t361 @t363 @t373)))) % 60.71/60.96 (assume @p237 (forall @t18 (=> @t28 (and @t362 @t372 @t374)))) % 60.71/60.96 (assume @p238 (forall @t18 (=> @t30 (and @t361 @t363 @t373 @t375)))) % 60.71/60.96 (assume @p239 (forall @t18 (=> @t30 (and @t362 @t372 @t374 @t376)))) % 60.71/60.96 (assume @p240 (forall @t18 (=> @t32 (and @t361 @t363 @t373 @t375 (tptp.v5_membered @t84))))) % 60.71/60.96 (assume @p241 (forall @t18 (=> @t32 (and @t362 @t372 @t374 @t376 (tptp.v5_membered @t83))))) % 60.71/60.96 (assume @p242 (forall @t18 (=> @t24 @t377))) % 60.71/60.96 (assume @p243 (forall @t18 (=> @t26 (and @t377 @t378)))) % 60.71/60.96 (assume @p244 (forall @t18 (=> @t28 (and @t377 @t378 @t379)))) % 60.71/60.96 (assume @p245 (forall @t8 (=> @t72 (and @t326 (tptp.function @t263))))) % 60.71/60.96 (assume @p246 (forall @t8 (=> (and @t55 @t52 @t81) (and @t368 @t345 @t344 (tptp.v2_binop_1 @t11 @t3) @t367)))) % 60.71/60.96 (assume @p247 (forall @t67 (=> (and @t207 @t153 @t296 @t295 @t245 @t294 @t293) (and (not (tptp.empty_carrier @t290)) @t291)))) % 60.71/60.96 (assume @p248 (forall @t18 (=> (and @t382 @t381 @t380 (tptp.v1_partfun1 @t14 @t1 @t1) @t289) (and @t288 (tptp.reflexive_relstr @t287) (tptp.transitive_relstr @t287) (tptp.antisymmetric_relstr @t287))))) % 60.71/60.96 (assume @p249 (forall @t8 (=> @t43 (and @t357 @t366 @t365 @t364)))) % 60.71/60.96 (assume @p250 (forall @t18 (=> @t328 (tptp.relation @t247)))) % 60.71/60.96 (assume @p251 (forall @t18 (not (tptp.empty @t75)))) % 60.71/60.96 (assume @p252 (forall @t18 (=> (and @t147 @t139 @t260 @t138) @t383))) % 60.71/60.96 (assume @p253 (forall @t18 (=> @t207 (not (tptp.empty @t76))))) % 60.71/60.96 (assume @p254 (forall @t18 (=> @t30 (and @t377 @t378 @t379 @t384)))) % 60.71/60.96 (assume @p255 (forall @t18 (=> @t32 (and @t377 @t378 @t379 @t384 (tptp.v5_membered @t247))))) % 60.71/60.96 (assume @p256 (forall @t18 (=> @t121 (and @t335 (tptp.function @t112))))) % 60.71/60.96 (assume @p257 (forall @t8 (=> (and @t55 @t51 @t86) (and @t386 @t343 @t342 (tptp.v1_binop_1 @t10 @t3) @t385)))) % 60.71/60.96 (assume @p258 @t388) % 60.71/60.96 (assume @p259 (forall @t8 (=> @t43 (and (tptp.epsilon_transitive @t238) (tptp.epsilon_connected @t238) (tptp.ordinal @t238))))) % 60.71/60.96 (assume @p260 (and @t351 @t350)) % 60.71/60.96 (assume @p261 (forall @t18 (=> (and @t207 @t307) (not (tptp.empty @t65))))) % 60.71/60.96 (assume @p262 (forall @t18 (=> (and @t147 @t139 @t253 @t138) @t389))) % 60.71/60.96 (assume @p263 (forall @t18 (=> @t390 (and @t336 (tptp.function @t123))))) % 60.71/60.96 (assume @p264 (forall @t8 (=> (and @t55 @t50 @t86) (and @t386 @t343 @t342 (tptp.v2_binop_1 @t10 @t3) @t385)))) % 60.71/60.96 (assume @p265 (forall @t8 (=> @t391 (tptp.closed_subset @t228 @t1)))) % 60.71/60.96 (assume @p266 (forall @t8 (=> @t393 (not @t392)))) % 60.71/60.96 (assume @p267 (and @t351 (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))) % 60.71/60.96 (assume @p268 (forall @t8 (=> @t393 (not @t394)))) % 60.71/60.96 (assume @p269 (forall @t18 (=> @t371 @t395))) % 60.71/60.96 (assume @p270 (forall @t8 (=> @t33 (and @t392 (tptp.relation @t115))))) % 60.71/60.96 (assume @p271 (forall @t8 (=> @t33 (and @t394 (tptp.relation @t249))))) % 60.71/60.96 (assume @p272 (forall @t18 (=> (and @t44 @t70) (tptp.finite @t77)))) % 60.71/60.96 (assume @p273 (forall @t18 (=> @t348 (and (tptp.empty @t273) @t327)))) % 60.71/60.96 (assume @p274 (forall @t18 (=> (and @t302 @t301 @t166) (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t14)) (exists @t99 (and (tptp.element @t63 @t164) @t300 (= @t1 (tptp.ordered_pair_as_product_element @t164 @t164 @t63 @t94)) (tptp.below_refl @t14 @t63 @t94))))))) % 60.71/60.96 (assume @p275 @t401) % 60.71/60.96 (assume @p276 (forall @t67 (=> @t297 (forall @t404 (=> (= @t290 (tptp.latt_str_of @t94 @t106 @t211)) (and @t403 (= @t14 @t106) @t402)))))) % 60.71/60.96 (assume @p277 (forall @t18 (= (tptp.set_union2 @t1 @t1) @t1))) % 60.71/60.96 (assume @p278 (forall @t18 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 60.71/60.96 (assume @p279 (forall @t67 (=> @t90 (= (tptp.subset_union2 @t1 @t14 @t14) @t14)))) % 60.71/60.96 (assume @p280 (forall @t67 (=> @t90 (= (tptp.subset_intersection2 @t1 @t14 @t14) @t14)))) % 60.71/60.96 (assume @p281 (forall @t18 (=> @t36 (= (tptp.subset_complement @t1 @t254) @t14)))) % 60.71/60.96 (assume @p282 (forall @t8 (=> @t62 (= (tptp.relation_inverse @t263) @t1)))) % 60.71/60.96 (assume @p283 (forall @t18 (=> @t277 (= (tptp.complements_of_subsets @t1 @t275) @t14)))) % 60.71/60.96 (assume @p284 (forall @t18 (not (tptp.proper_subset @t1 @t1)))) % 60.71/60.96 (assume @p285 (forall @t8 (=> @t62 (= @t239 (forall @t23 (=> @t405 (tptp.in (tptp.ordered_pair @t14 @t14) @t1))))))) % 60.71/60.96 (assume @p286 (forall @t8 (not (= @t172 tptp.empty_set)))) % 60.71/60.96 (assume @p287 (forall @t18 (=> @t17 (= (tptp.set_union2 @t172 @t14) @t14)))) % 60.71/60.96 (assume @p288 (forall @t18 (not (and @t406 @t17)))) % 60.71/60.96 (assume @p289 (forall @t18 (=> @t407 @t406))) % 60.71/60.96 (assume @p290 (forall @t18 (=> @t102 (tptp.subset (tptp.relation_dom @t123) @t151)))) % 60.71/60.96 (assume @p291 (forall @t8 (=> @t62 (= @t143 (forall @t156 (=> (and @t155 @t205) @t154)))))) % 60.71/60.96 (assume @p292 (forall @t18 (= (tptp.subset @t172 @t14) @t17))) % 60.71/60.96 (assume @p293 (forall @t18 (=> @t102 (not (and @t408 (tptp.equipotent @t1 @t194) (forall @t124 (=> @t64 (not (tptp.well_orders @t63 @t1))))))))) % 60.71/60.96 (assume @p294 (forall @t18 (= (= @t247 tptp.empty_set) @t104))) % 60.71/60.96 (assume @p295 (forall @t18 (=> @t36 (forall @t124 (=> @t179 @t96))))) % 60.71/60.96 (assume @p296 (forall @t8 (=> @t62 (= @t126 (forall @t113 (=> (and @t155 @t409) @t169)))))) % 60.71/60.96 (assume @p297 (forall @t67 (=> @t104 (or @t96 (tptp.subset @t1 (tptp.set_difference @t14 @t410)))))) % 60.71/60.96 (assume @p298 (forall @t8 (=> @t359 (forall @t23 (=> @t138 (forall @t124 (=> @t79 (= (tptp.in @t63 @t188) @t225)))))))) % 60.71/60.96 (assume @p299 (forall @t8 (=> @t62 (= @t141 (forall @t113 (not (and @t405 (tptp.in @t63 @t125) @t226 @t411 (not @t409)))))))) % 60.71/60.96 (assume @p300 (forall @t18 (= (tptp.subset @t1 @t412) (or @t159 (= @t1 @t412))))) % 60.71/60.96 (assume @p301 (forall @t18 (=> @t17 (tptp.subset @t1 @t413)))) % 60.71/60.96 (assume @p302 (forall @t150 (= (tptp.in @t255 (tptp.cartesian_product2 @t63 @t94)) (and @t414 (tptp.in @t14 @t94))))) % 60.71/60.96 (assume @p303 (forall @t18 (=> @t229 @t415))) % 60.71/60.96 (assume @p304 (forall @t67 (=> @t267 (= @t417 (and (tptp.in @t14 @t242) @t15))))) % 60.71/60.96 (assume @p305 (exists @t8 (and @t207 @t60 @t59 @t43 @t68))) % 60.71/60.96 (assume @p306 (exists @t8 (and @t207 @t44))) % 60.71/60.96 (assume @p307 (exists @t8 @t121)) % 60.71/60.96 (assume @p308 (forall @t18 (exists @t124 (and @t181 @t64 @t245 @t158)))) % 60.71/60.96 (assume @p309 (exists @t8 (and @t207 @t24 @t26 @t28 @t30 @t32))) % 60.71/60.96 (assume @p310 (exists @t8 (and @t7 @t5))) % 60.71/60.96 (assume @p311 (exists @t8 @t74)) % 60.71/60.96 (assume @p312 (exists @t8 (and @t60 @t59 @t43 @t252))) % 60.71/60.96 (assume @p313 (exists @t8 (and @t62 @t47 @t71 @t33))) % 60.71/60.96 (assume @p314 (exists @t8 (and @t33 @t62))) % 60.71/60.96 (assume @p315 (forall @t8 (=> @t207 (exists @t23 (and @t36 @t307))))) % 60.71/60.96 (assume @p316 (forall @t8 (=> @t391 (exists @t23 (and @t138 @t253))))) % 60.71/60.96 (assume @p317 (exists @t8 @t33)) % 60.71/60.96 (assume @p318 (forall @t8 (exists @t23 (and @t36 @t206 @t102 @t153 @t418 @t42 @t41 @t40 @t31 @t70)))) % 60.71/60.96 (assume @p319 (exists @t8 @t73)) % 60.71/60.96 (assume @p320 (exists @t8 (and @t7 @t55 @t5 @t370 @t251 @t258))) % 60.71/60.96 (assume @p321 (exists @t8 (and @t62 @t47 @t71 @t33 @t60 @t59 @t43))) % 60.71/60.96 (assume @p322 (forall @t18 (exists @t124 (and @t181 @t64 @t245)))) % 60.71/60.96 (assume @p323 (exists @t8 @t393)) % 60.71/60.96 (assume @p324 (forall @t8 (exists @t23 (and @t36 @t206)))) % 60.71/60.96 (assume @p325 (forall @t8 (=> @t391 (exists @t23 (and @t138 @t253 @t260))))) % 60.71/60.96 (assume @p326 (exists @t8 @t207)) % 60.71/60.96 (assume @p327 (forall @t8 (=> @t207 (exists @t23 (and @t36 @t307 @t70))))) % 60.71/60.96 (assume @p328 (exists @t8 @t72)) % 60.71/60.96 (assume @p329 (exists @t8 (and @t13 @t12))) % 60.71/60.96 (assume @p330 (exists @t8 (and @t207 @t60 @t59 @t43))) % 60.71/60.96 (assume @p331 (exists @t8 @t353)) % 60.71/60.96 (assume @p332 (exists @t8 (and @t187 @t55))) % 60.71/60.96 (assume @p333 (exists @t8 (and @t62 @t352 @t47))) % 60.71/60.96 (assume @p334 (forall @t8 (=> @t359 (exists @t23 (and @t138 @t307))))) % 60.71/60.96 (assume @p335 (exists @t8 (and @t13 @t55 @t12))) % 60.71/60.96 (assume @p336 (forall @t8 (=> @t391 (exists @t23 (and @t138 @t260))))) % 60.71/60.96 (assume @p337 (forall @t8 (=> @t148 (exists @t23 (and @t138 @t307 @t260))))) % 60.71/60.96 (assume @p338 (exists @t8 (and @t13 @t55 @t12 @t53 @t52 @t51 @t50 @t49 @t48 @t57))) % 60.71/60.96 (assume @p339 (forall @t150 (=> @t303 (= @t299 @t97)))) % 60.71/60.96 (assume @p340 @t420) % 60.71/60.96 (assume @p341 (forall @t314 (=> @t313 (= @t311 (tptp.apply_binary @t94 @t106 @t211))))) % 60.71/60.96 (assume @p342 @t422) % 60.71/60.96 (assume @p343 (forall @t67 (=> @t82 (= @t78 @t167)))) % 60.71/60.96 (assume @p344 (forall @t67 (=> @t87 (= @t85 @t130)))) % 60.71/60.96 (assume @p345 (forall @t67 (=> @t181 (= @t161 @t242)))) % 60.71/60.96 (assume @p346 (forall @t67 (=> @t90 (= @t88 @t423)))) % 60.71/60.96 (assume @p347 (forall @t67 (=> @t181 (= @t330 @t241)))) % 60.71/60.96 (assume @p348 (forall @t18 (=> @t277 (= @t331 @t413)))) % 60.71/60.96 (assume @p349 (forall @t67 (=> @t90 (= @t91 @t424)))) % 60.71/60.96 (assume @p350 (forall @t18 (=> @t277 (= @t333 @t196)))) % 60.71/60.96 (assume @p351 (forall @t67 (=> @t90 (= @t334 @t425)))) % 60.71/60.96 (assume @p352 (forall @t67 (= @t162 @t181))) % 60.71/60.96 (assume @p353 (forall @t18 (=> @t93 (= @t92 @t104)))) % 60.71/60.96 (assume @p354 (forall @t18 (= @t246 (tptp.are_equipotent @t1 @t14)))) % 60.71/60.96 (assume @p355 (forall @t67 (=> @t427 (= @t426 @t224)))) % 60.71/60.96 (assume @p356 @t431) % 60.71/60.96 (assume @p357 (forall @t18 (=> @t93 (tptp.ordinal_subset @t1 @t1)))) % 60.71/60.96 (assume @p358 (forall @t18 (tptp.subset @t1 @t1))) % 60.71/60.96 (assume @p359 (forall @t18 (tptp.equipotent @t1 @t1))) % 60.71/60.96 (assume @p360 (forall @t67 (=> @t427 (tptp.below_refl @t1 @t14 @t14)))) % 60.71/60.96 (assume @p361 (forall @t67 (=> @t429 (tptp.related_reflexive @t1 @t14 @t14)))) % 60.71/60.96 (assume @p362 (forall @t18 (=> @t449 (=> @t448 (exists @t124 (and @t64 @t245 (forall @t111 (= @t110 (and @t184 @t184 (exists @t436 (and (= @t94 @t433) (tptp.in @t106 @t433) (forall @t435 (=> @t434 (tptp.in (tptp.ordered_pair @t106 @t432) @t14)))))))))))))) % 60.71/60.96 (assume @p363 (forall @t8 (=> @t452 (exists @t23 (and @t102 @t153 (forall @t99 (= @t98 (and @t96 @t96 (= @t94 @t410))))))))) % 60.71/60.96 (assume @p364 (forall @t18 (=> @t465 (=> @t464 (exists @t124 (and @t64 @t245 (forall @t111 (= @t110 (and @t458 @t458 @t456))))))))) % 60.71/60.96 (assume @p365 (forall @t18 (=> @t465 (=> @t466 (exists @t124 (and @t64 @t245 (forall @t111 (= @t110 (and @t109 @t109 @t456))))))))) % 60.71/60.96 (assume @p366 (forall @t8 (=> (exists @t23 (and @t40 @t15)) (exists @t23 (and @t40 @t15 (forall @t124 (=> @t467 (=> @t96 (tptp.ordinal_subset @t14 @t63))))))))) % 60.71/60.96 (assume @p367 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t8 (=> (tptp.element @t1 (tptp.powerset @t491)) (not (and @t185 (forall @t23 (not (and @t15 (forall @t124 (=> (and @t96 @t490) (= @t63 @t14))))))))))) (forall @t118 (=> @t474 (=> @t489 (=> (tptp.in @t488 tptp.omega) (forall @t442 (=> (tptp.element @t439 (tptp.powerset (tptp.powerset @t488))) (not (and (not (= @t439 tptp.empty_set)) (forall @t441 (not (and @t440 (forall @t436 (=> (and (tptp.in @t433 @t439) (tptp.subset @t438 @t433)) (= @t433 @t438)))))))))))))) (forall @t118 (=> @t474 (=> (and (tptp.being_limit_ordinal @t94) (forall @t435 (=> (tptp.ordinal @t432) (=> (tptp.in @t432 @t94) (=> (tptp.in @t432 tptp.omega) (forall @t487 (=> (tptp.element @t483 (tptp.powerset (tptp.powerset @t432))) (not (and (not (= @t483 tptp.empty_set)) (forall @t486 (not (and @t485 (forall @t484 (=> (and (tptp.in @t482 @t483) (tptp.subset @t481 @t482)) (= @t482 @t481))))))))))))))) (or (= @t94 tptp.empty_set) (=> @t473 (forall @t480 (=> (tptp.element @t477 @t471) (not (and (not (= @t477 tptp.empty_set)) (forall @t479 (not (and (tptp.in @t475 @t477) (forall @t478 (=> (and (tptp.in @t476 @t477) (tptp.subset @t475 @t476)) (= @t476 @t475)))))))))))))))) (forall @t118 (=> @t474 (=> @t473 (forall @t472 (=> (tptp.element @t470 @t471) (not (and (not (= @t470 tptp.empty_set)) (forall (@list @t468) (not (and (tptp.in @t468 @t470) (forall (@list @t469) (=> (and (tptp.in @t469 @t470) (tptp.subset @t468 @t469)) (= @t469 @t468))))))))))))))) % 60.71/60.96 (assume @p368 (forall @t67 (=> @t495 (exists @t118 (and @t494 (forall @t214 (= (tptp.in @t212 @t94) (and @t122 @t493 (tptp.in (tptp.ordered_pair @t264 @t492) @t14))))))))) % 60.71/60.96 (assume @p369 (forall @t18 (=> @t449 (=> @t448 (exists @t124 (forall @t118 (= @t117 (exists @t116 (and @t122 @t122 (exists @t436 (and (= @t106 @t433) @t497 @t496))))))))))) % 60.71/60.96 (assume @p370 (forall @t18 (=> @t449 (forall @t124 (=> (forall @t404 (=> (and @t437 (exists @t508 (and @t507 @t505 (exists @t441 (and (= @t444 @t438) (tptp.in @t439 @t438) (forall @t436 (=> @t504 (tptp.in (tptp.ordered_pair @t439 @t433) @t14))))))) @t503 (exists @t502 (and (= @t501 @t211) (tptp.in @t432 @t1) (exists @t486 (and (= @t432 @t481) (tptp.in @t483 @t481) (forall @t484 (=> (tptp.in @t482 @t481) (tptp.in (tptp.ordered_pair @t483 @t482) @t14)))))))) @t500)) (exists @t118 (forall @t116 (= @t149 (exists @t272 (and (tptp.in @t211 @t499) @t498 (exists (@list @t477 @t475) (and (= (tptp.ordered_pair @t477 @t475) @t106) (tptp.in @t477 @t1) (exists @t478 (and (= @t477 @t476) (tptp.in @t475 @t476) (forall @t472 (=> (tptp.in @t470 @t476) (tptp.in (tptp.ordered_pair @t475 @t470) @t14))))))))))))))))) % 60.71/60.96 (assume @p371 (forall @t8 (=> @t452 (exists @t23 (forall @t124 (= @t179 (exists @t118 (and @t184 @t184 (= @t63 (tptp.singleton @t94)))))))))) % 60.71/60.96 (assume @p372 (forall @t18 (=> (forall @t274 (=> (and @t95 (exists @t515 (and (= @t514 @t94) @t493 (= @t444 (tptp.singleton @t211)))) @t513 (exists (@list @t439 @t438) (and (= (tptp.ordered_pair @t439 @t438) @t106) @t512 (= @t438 (tptp.singleton @t439))))) @t437)) (exists @t124 (forall @t118 (= @t117 (exists @t116 (and (tptp.in @t106 @t65) @t511 (exists @t510 (and (= @t509 @t94) (tptp.in @t433 @t1) (= @t432 (tptp.singleton @t433)))))))))))) % 60.71/60.96 (assume @p373 (forall @t8 (=> @t43 (=> (forall @t156 (=> (and @t169 (exists @t116 (and @t518 @t513 (=> (tptp.in @t106 tptp.omega) (forall @t272 (=> (tptp.element @t211 (tptp.powerset (tptp.powerset @t106))) @t517))))) @t203 (exists @t441 (and (tptp.ordinal @t438) (= @t94 @t438) (=> (tptp.in @t438 tptp.omega) (forall @t436 (=> (tptp.element @t433 (tptp.powerset (tptp.powerset @t438))) (not (and (not (= @t433 tptp.empty_set)) (forall @t435 (not (and @t434 (forall @t487 (=> (and (tptp.in @t483 @t433) (tptp.subset @t432 @t483)) (= @t483 @t432)))))))))))))) @t95)) (exists @t23 (forall @t124 (= @t179 (exists @t118 (and (tptp.in @t94 @t173) @t516 (exists @t486 (and (tptp.ordinal @t481) (= @t63 @t481) (=> (tptp.in @t481 tptp.omega) (forall @t484 (=> (tptp.element @t482 (tptp.powerset (tptp.powerset @t481))) (not (and (not (= @t482 tptp.empty_set)) (forall @t480 (not (and (tptp.in @t477 @t482) (forall @t479 (=> (and (tptp.in @t475 @t482) (tptp.subset @t477 @t475)) (= @t475 @t477)))))))))))))))))))))) % 60.71/60.96 (assume @p374 (forall @t18 (=> @t371 (=> (forall @t274 (=> (and @t95 (exists @t272 (and @t462 (= @t211 @t94) (tptp.closed_subset @t211 @t1) @t519)) @t513 (exists @t446 (and @t459 (= @t444 @t106) (tptp.closed_subset @t444 @t1) (tptp.subset @t14 @t106)))) @t437)) (exists @t124 (forall @t118 (= @t117 (exists @t116 (and @t520 @t511 (exists @t442 (and @t455 @t454 (tptp.closed_subset @t439 @t1) @t519))))))))))) % 60.71/60.96 (assume @p375 (forall @t18 (=> @t522 (=> (forall @t274 (=> (and @t95 @t521 @t513 (tptp.in (tptp.set_difference @t228 @t106) @t14)) @t437)) (exists @t124 (forall @t118 (= @t117 (exists @t116 (and @t520 @t511 @t521))))))))) % 60.71/60.96 (assume @p376 (forall @t18 (=> @t524 (=> (forall @t274 (=> (and @t95 (exists @t272 (and @t213 (= @t94 (tptp.set_difference @t211 @t172)))) @t513 (exists @t446 (and @t523 (= @t106 (tptp.set_difference @t444 @t172))))) @t437)) (exists @t124 (forall @t118 (= @t117 (exists @t116 (and (tptp.in @t106 @t35) @t511 (exists @t442 (and (tptp.in @t439 @t14) (= @t94 (tptp.set_difference @t439 @t172))))))))))))) % 60.71/60.96 (assume @p377 (forall @t18 (=> @t465 (=> @t464 (exists @t124 (forall @t118 (= @t117 (exists @t116 (and @t527 @t527 @t526))))))))) % 60.71/60.96 (assume @p378 (forall @t18 (=> @t465 (forall @t124 (=> (forall @t404 (=> (and @t437 (exists @t508 (and @t507 (tptp.in @t444 @t457) @t536)) @t503 (exists @t510 (and @t533 (tptp.in @t433 @t457) @t532))) @t500)) (exists @t118 (forall @t116 (= @t149 (exists @t272 (and (tptp.in @t211 @t531) @t498 (exists @t530 (and @t529 (tptp.in @t481 @t457) @t528)))))))))))) % 60.71/60.96 (assume @p379 (forall @t18 (=> @t465 (=> @t466 (exists @t124 (forall @t118 (= @t117 (exists @t116 (and @t114 @t114 @t526))))))))) % 60.71/60.96 (assume @p380 (forall @t18 (=> @t465 (forall @t124 (=> (forall @t404 (=> (and @t437 (exists @t508 (and @t507 @t523 @t536)) @t503 (exists @t510 (and @t533 (tptp.in @t433 @t14) @t532))) @t500)) (exists @t118 (forall @t116 (= @t149 (exists @t272 (and (tptp.in @t211 @t537) @t498 (exists @t530 (and @t529 (tptp.in @t481 @t14) @t528)))))))))))) % 60.71/60.96 (assume @p381 (forall @t67 (=> @t495 (=> (forall @t404 (=> (and @t437 (exists @t508 (and (= @t106 @t506) (tptp.in (tptp.ordered_pair @t538 (tptp.apply @t63 @t439)) @t14))) @t503 (exists (@list @t438 @t433) (and (= @t211 (tptp.ordered_pair @t438 @t433)) (tptp.in (tptp.ordered_pair (tptp.apply @t63 @t438) (tptp.apply @t63 @t433)) @t14)))) @t500)) (exists @t118 (forall @t116 (= @t149 (exists @t272 (and (tptp.in @t211 @t292) @t498 (exists @t502 (and (= @t106 @t501) (tptp.in (tptp.ordered_pair (tptp.apply @t63 @t432) (tptp.apply @t63 @t483)) @t14)))))))))))) % 60.71/60.96 (assume @p382 (forall @t8 (=> (forall @t156 (=> (and @t169 @t467 @t203 @t474) @t95)) (exists @t23 (forall @t124 (= @t179 (exists @t118 (and @t184 @t516 @t467)))))))) % 60.71/60.96 (assume @p383 (forall @t67 (=> @t541 (=> (forall @t404 (=> (and @t437 @t539 @t503 (tptp.in (tptp.relation_image @t63 @t211) @t14)) @t500)) (exists @t118 (forall @t116 (= @t149 (exists @t272 (and (tptp.in @t211 @t540) @t498 @t539))))))))) % 60.71/60.96 (assume @p384 (forall @t18 (=> @t40 (=> (forall @t274 (=> (and @t95 (exists @t272 (and (tptp.ordinal @t211) @t503 @t493)) @t513 (exists @t446 (and (tptp.ordinal @t444) (= @t106 @t444) @t505))) @t437)) (exists @t124 (forall @t118 (= @t117 (exists @t116 (and (tptp.in @t106 @t542) @t511 (exists @t442 (and (tptp.ordinal @t439) (= @t94 @t439) @t512))))))))))) % 60.71/60.96 (assume @p385 (forall @t18 (=> @t449 (forall @t124 (exists @t118 (forall @t116 (= @t149 (and (tptp.in @t106 @t499) (exists @t515 (and @t543 @t493 (exists @t442 (and (= @t211 @t439) (tptp.in @t444 @t439) (forall @t441 (=> @t440 (tptp.in (tptp.ordered_pair @t444 @t438) @t14))))))))))))))) % 60.71/60.96 (assume @p386 (forall @t18 (exists @t124 (forall @t118 (= @t117 (and (tptp.in @t94 @t65) (exists @t214 (and (= @t212 @t94) @t122 (= @t211 (tptp.singleton @t106)))))))))) % 60.71/60.96 (assume @p387 (forall @t8 (=> @t43 (exists @t23 (forall @t124 (= @t179 (and (tptp.in @t63 @t173) (exists @t118 (and @t474 @t95 @t489))))))))) % 60.71/60.96 (assume @p388 (forall @t18 (=> @t371 (exists @t124 (forall @t118 (= @t117 (and @t545 @t544))))))) % 60.71/60.96 (assume @p389 (forall @t18 (=> @t522 (exists @t124 (forall @t118 (= @t117 (and @t545 @t521))))))) % 60.71/60.96 (assume @p390 (forall @t18 (=> @t524 (exists @t124 (forall @t118 (= @t117 (and (tptp.in @t94 @t35) (exists @t116 (and @t114 (= @t94 (tptp.set_difference @t106 @t172))))))))))) % 60.71/60.96 (assume @p391 (forall @t18 (=> @t465 (forall @t124 (exists @t118 (forall @t116 (= @t149 (and (tptp.in @t106 @t531) (exists @t515 (and @t543 (tptp.in @t211 @t457) @t546)))))))))) % 60.71/60.96 (assume @p392 (forall @t18 (=> @t465 (forall @t124 (exists @t118 (forall @t116 (= @t149 (and (tptp.in @t106 @t537) (exists @t515 (and @t543 @t213 @t546)))))))))) % 60.71/60.96 (assume @p393 (forall @t67 (=> @t495 (exists @t118 (forall @t116 (= @t149 (and (tptp.in @t106 @t292) (exists @t515 (and (= @t106 @t514) (tptp.in (tptp.ordered_pair @t492 @t538) @t14)))))))))) % 60.71/60.96 (assume @p394 (forall @t8 (exists @t23 (forall @t124 (= @t179 (and @t96 @t467)))))) % 60.71/60.96 (assume @p395 (forall @t67 (=> @t541 (exists @t118 (forall @t116 (= @t149 (and (tptp.in @t106 @t540) @t539))))))) % 60.71/60.96 (assume @p396 (forall @t18 (=> @t40 (exists @t124 (forall @t118 (= @t117 (and (tptp.in @t94 @t542) (exists @t116 (and @t518 @t437 @t122))))))))) % 60.71/60.96 (assume @p397 (forall @t18 (=> @t449 (=> (and (forall @t274 (=> (and @t96 @t447 @t443) @t437)) (forall @t124 (not (and @t96 (forall @t118 (not (exists @t436 (and (= @t63 @t433) @t497 @t496)))))))) (exists @t124 (and @t64 @t245 @t243 (forall @t118 (=> @t184 (exists @t487 (and (= @t94 @t483) (tptp.in @t265 @t483) (forall @t486 (=> @t485 (tptp.in (tptp.ordered_pair @t265 @t481) @t14))))))))))))) % 60.71/60.96 (assume @p398 (forall @t8 (=> (and (forall @t156 (=> (and @t15 @t451 @t450) @t95)) (forall @t23 (not (and @t15 (forall @t124 (not @t451)))))) @t549))) % 60.71/60.96 (assume @p399 (forall @t18 (=> @t465 (=> (and (forall @t274 (=> (and @t461 @t463 @t460) @t437)) (forall @t124 (not (and @t461 @t551)))) (exists @t124 (and @t64 @t245 (= @t242 @t457) (forall @t118 (=> @t458 @t550)))))))) % 60.71/60.96 (assume @p400 (forall @t18 (=> @t465 (=> (and (forall @t274 (=> (and @t179 @t463 @t460) @t437)) (forall @t124 (not (and @t179 @t551)))) (exists @t124 (and @t64 @t245 (= @t242 @t14) (forall @t118 (=> @t109 @t550)))))))) % 60.71/60.96 (assume @p401 (=> (forall @t8 (=> @t43 (=> (forall @t23 (=> @t40 (=> @t15 (=> (tptp.in @t14 tptp.omega) (forall @t124 (=> (tptp.element @t63 (tptp.powerset @t329)) (not (and @t230 (forall @t118 (not (and @t117 (forall @t116 (=> (and (tptp.in @t106 @t63) (tptp.subset @t94 @t106)) @t511))))))))))))) (=> @t552 (forall @t272 (=> (tptp.element @t211 @t276) @t517)))))) (forall @t8 (=> @t43 (=> @t552 (forall @t441 (=> (tptp.element @t438 @t276) (not (and (not (= @t438 tptp.empty_set)) (forall @t436 (not (and @t504 (forall @t435 (=> (and (tptp.in @t432 @t438) (tptp.subset @t433 @t432)) (= @t432 @t433))))))))))))))) % 60.71/60.96 (assume @p402 (forall @t8 @t549)) % 60.71/60.96 (assume @p403 (forall @t18 (=> @t371 (exists @t124 (and @t216 (forall @t118 (=> @t553 (= @t117 @t544)))))))) % 60.71/60.96 (assume @p404 (forall @t18 (=> @t522 (exists @t124 (and @t216 (forall @t118 (=> @t553 (= @t117 @t521)))))))) % 60.71/60.96 (assume @p405 (forall @t18 (=> @t268 (tptp.disjoint @t14 @t1)))) % 60.71/60.96 (assume @p406 (forall @t18 (=> @t246 (tptp.equipotent @t14 @t1)))) % 60.71/60.96 (assume @p407 (forall @t8 (tptp.in @t1 @t173))) % 60.71/60.96 (assume @p408 (forall @t18 (=> @t277 (and @t555 (not (and (not @t554) @t160)))))) % 60.71/60.96 (assume @p409 (forall @t150 (not (and (= @t75 (tptp.unordered_pair @t63 @t94)) (not @t396) (not @t403))))) % 60.71/60.96 (assume @p410 (forall @t67 (=> @t64 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t14 @t63))) (and @t17 (tptp.in @t1 @t241)))))) % 60.71/60.96 (assume @p411 (forall @t18 (=> @t102 (tptp.subset @t556 @t1)))) % 60.71/60.96 (assume @p412 (forall @t18 (=> @t102 (tptp.subset @t123 @t14)))) % 60.71/60.96 (assume @p413 (forall @t18 (=> @t102 (tptp.subset @t556 @t152)))) % 60.71/60.96 (assume @p414 (forall @t67 (=> @t104 (and (tptp.subset @t499 @t537) (tptp.subset (tptp.cartesian_product2 @t63 @t1) (tptp.cartesian_product2 @t63 @t14)))))) % 60.71/60.96 (assume @p415 (forall @t18 (=> @t102 (= @t556 (tptp.set_intersection2 @t152 @t1))))) % 60.71/60.96 (assume @p416 (forall @t150 (=> (and @t104 @t193) (tptp.subset @t499 (tptp.cartesian_product2 @t14 @t94))))) % 60.71/60.96 (assume @p417 (forall @t18 (=> @t277 (=> @t197 (= @t557 (tptp.subset_complement @t1 @t331)))))) % 60.71/60.96 (assume @p418 (forall @t67 (=> @t162 (and (tptp.subset @t242 @t1) (tptp.subset @t241 @t14))))) % 60.71/60.96 (assume @p419 (forall @t18 (=> @t277 (=> @t197 (= @t558 (tptp.subset_complement @t1 @t333)))))) % 60.71/60.96 (assume @p420 (forall @t18 (=> @t104 (= @t77 @t14)))) % 60.71/60.96 (assume @p421 (forall @t8 (exists @t23 (and @t17 @t561 (forall @t124 (=> @t179 (tptp.in @t560 @t14))) @t559)))) % 60.71/60.96 (assume @p422 (forall @t8 (=> @t148 (= @t218 (forall @t23 (=> @t178 (not (and (tptp.centered @t14) @t209 (= @t562 tptp.empty_set))))))))) % 60.71/60.96 (assume @p423 (forall @t18 (=> (and @t104 @t70) @t44))) % 60.71/60.96 (assume @p424 (forall @t8 (=> @t187 (forall @t23 (=> @t178 (= (tptp.finite @t457) @t70)))))) % 60.71/60.96 (assume @p425 (forall @t67 (=> @t64 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t63) @t14) (tptp.relation_rng_restriction @t1 @t563))))) % 60.71/60.96 (assume @p426 (forall @t67 (=> @t64 (= (tptp.in @t1 (tptp.relation_image @t63 @t14)) (exists @t118 (and (tptp.in @t94 @t242) (tptp.in (tptp.ordered_pair @t94 @t1) @t63) @t109)))))) % 60.71/60.96 (assume @p427 (forall @t18 (=> @t102 (tptp.subset @t564 @t152)))) % 60.71/60.96 (assume @p428 (forall @t18 (=> @t390 (tptp.subset @t566 @t1)))) % 60.71/60.96 (assume @p429 (forall @t18 (=> @t102 (= @t564 (tptp.relation_image @t14 @t567))))) % 60.71/60.96 (assume @p430 (forall @t18 (=> @t102 (=> (tptp.subset @t1 @t151) (tptp.subset @t1 (tptp.relation_inverse_image @t14 @t564)))))) % 60.71/60.96 (assume @p431 (forall @t8 (=> @t62 (= (tptp.relation_image @t1 @t115) @t249)))) % 60.71/60.96 (assume @p432 (forall @t18 (=> @t390 (=> @t568 (= @t566 @t1))))) % 60.71/60.96 (assume @p433 (forall @t150 (=> @t571 (=> (tptp.subset @t570 @t14) @t569)))) % 60.71/60.96 (assume @p434 (forall @t8 (=> @t187 (forall @t23 (=> @t138 (= (tptp.subset_intersection2 @t3 @t14 @t228) @t14)))))) % 60.71/60.96 (assume @p435 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (= @t572 (tptp.relation_image @t14 @t249))))))) % 60.71/60.96 (assume @p436 (forall @t67 (=> @t64 (= (tptp.in @t1 @t573) (exists @t118 (and (tptp.in @t94 @t241) (tptp.in (tptp.ordered_pair @t1 @t94) @t63) @t109)))))) % 60.71/60.96 (assume @p437 (forall @t18 (=> @t102 (tptp.subset @t565 @t151)))) % 60.71/60.96 (assume @p438 (forall @t150 (=> @t571 (=> @t104 @t569)))) % 60.71/60.96 (assume @p439 (forall @t8 (=> @t139 (forall @t23 (=> @t178 (= @t209 (tptp.open_subsets @t457 @t1))))))) % 60.71/60.96 (assume @p440 (forall @t67 (=> @t64 (= (tptp.in @t1 @t574) (and @t414 (tptp.in @t1 @t261)))))) % 60.71/60.96 (assume @p441 (forall @t18 (=> @t102 (not (and @t185 @t568 (= @t565 tptp.empty_set)))))) % 60.71/60.96 (assume @p442 (forall @t67 (=> @t64 (=> @t104 (tptp.subset (tptp.relation_inverse_image @t63 @t1) @t573))))) % 60.71/60.96 (assume @p443 (forall @t18 (=> @t390 (=> @t44 (tptp.finite @t564))))) % 60.71/60.96 (assume @p444 (forall @t8 (=> @t187 (forall @t23 (=> @t138 (= @t188 @t259)))))) % 60.71/60.96 (assume @p445 (forall @t8 (=> @t139 (forall @t23 (=> @t178 (= @t191 (tptp.closed_subsets @t457 @t1))))))) % 60.71/60.96 (assume @p446 (forall @t18 (=> @t102 (= @t575 (tptp.relation_dom_restriction @t123 @t1))))) % 60.71/60.96 (assume @p447 (forall @t18 (tptp.subset @t84 @t1))) % 60.71/60.96 (assume @p448 (forall @t8 (=> @t44 (forall @t23 (=> @t277 (not (and @t197 (forall @t124 (not (and @t179 (forall @t118 (=> (and @t109 @t193) @t516)))))))))))) % 60.71/60.96 (assume @p449 (forall @t18 (=> @t102 (= @t575 (tptp.relation_rng_restriction @t1 @t576))))) % 60.71/60.96 (assume @p450 (forall @t67 (=> @t64 (=> (tptp.in @t1 (tptp.relation_field @t574)) (and @t578 @t17))))) % 60.71/60.96 (assume @p451 (forall @t67 (=> (and @t104 @t579) (tptp.subset @t1 @t424)))) % 60.71/60.96 (assume @p452 (forall @t8 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 60.71/60.96 (assume @p453 (forall @t18 (=> @t582 (forall @t124 (=> @t581 (and (= (tptp.join @t165 @t14 @t63) @t423) (= (tptp.meet @t165 @t14 @t63) @t424))))))) % 60.71/60.96 (assume @p454 (forall @t18 (=> @t17 @t583))) % 60.71/60.96 (assume @p455 (forall @t67 (=> (and @t104 @t490) @t579))) % 60.71/60.96 (assume @p456 (= @t491 (tptp.singleton tptp.empty_set))) % 60.71/60.96 (assume @p457 (forall @t67 (=> @t64 (=> @t585 (and @t584 (tptp.in @t14 @t241)))))) % 60.71/60.96 (assume @p458 (forall @t18 (=> @t102 (and (tptp.subset @t586 @t194) (tptp.subset @t586 @t1))))) % 60.71/60.96 (assume @p459 (forall @t18 (=> @t390 (forall @t124 (=> @t267 (= @t589 (and @t584 (tptp.in @t587 @t151)))))))) % 60.71/60.96 (assume @p460 (forall @t150 (=> @t591 (forall @t116 (=> (and (tptp.relation @t106) (tptp.function @t106)) (=> @t96 (or @t160 (= (tptp.apply (tptp.relation_composition @t94 @t106) @t63) (tptp.apply @t106 @t590))))))))) % 60.71/60.96 (assume @p461 (forall @t8 (=> @t60 (forall @t23 (=> @t40 (=> @t20 @t17)))))) % 60.71/60.96 (assume @p462 (forall @t8 (=> @t62 (tptp.subset @t1 (tptp.cartesian_product2 @t115 @t249))))) % 60.71/60.96 (assume @p463 (forall @t67 (=> @t64 (tptp.subset (tptp.fiber (tptp.relation_restriction @t63 @t1) @t14) (tptp.fiber @t63 @t14))))) % 60.71/60.96 (assume @p464 (forall @t18 (=> @t390 (forall @t124 (=> @t267 (=> @t589 (= (tptp.apply @t588 @t1) (tptp.apply @t14 @t587)))))))) % 60.71/60.96 (assume @p465 (forall @t8 (=> @t187 (forall @t23 (=> @t138 (= (tptp.subset_difference @t3 @t228 @t259) @t14)))))) % 60.71/60.96 (assume @p466 (forall @t67 (=> (tptp.relation_of2_as_subset @t63 @t14 @t1) (= (forall @t118 (not (and @t109 (forall @t116 (not @t110))))) (= (tptp.relation_dom_as_subset @t14 @t1 @t63) @t14))))) % 60.71/60.96 (assume @p467 (forall @t18 (=> @t102 (=> @t382 (tptp.reflexive @t575))))) % 60.71/60.96 (assume @p468 (forall @t18 (=> @t390 (forall @t124 (=> @t267 (=> (tptp.in @t1 @t151) (= (tptp.apply (tptp.relation_composition @t14 @t63) @t1) (tptp.apply @t63 (tptp.apply @t14 @t1))))))))) % 60.71/60.96 (assume @p469 (forall @t8 (=> (and @t55 @t51 @t49 @t13) (forall @t23 (=> @t80 (forall @t124 (=> @t79 (tptp.below @t1 @t85 @t14)))))))) % 60.71/60.96 (assume @p470 (forall @t18 (=> @t40 (=> @t17 @t43)))) % 60.71/60.96 (assume @p471 (forall @t67 (=> @t162 (= (forall @t118 (not (and @t109 (forall @t116 (not (tptp.in @t140 @t63)))))) (= @t330 @t14))))) % 60.71/60.96 (assume @p472 (forall @t18 (=> @t102 (=> @t592 (tptp.connected @t575))))) % 60.71/60.96 (assume @p473 (forall @t8 (=> @t43 (forall @t23 (=> @t40 (not (and @t407 @t278 @t16))))))) % 60.71/60.96 (assume @p474 (forall @t18 (=> @t102 (=> @t380 (tptp.transitive @t575))))) % 60.71/60.96 (assume @p475 (forall @t8 (=> (and @t258 @t7) (forall @t23 (=> @t80 (forall @t124 (=> @t79 (=> (and @t280 (tptp.related @t1 @t63 @t14)) @t169)))))))) % 60.71/60.96 (assume @p476 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (=> @t104 (and (tptp.subset @t115 @t151) (tptp.subset @t249 @t152)))))))) % 60.71/60.96 (assume @p477 (forall @t18 (=> @t102 (=> @t381 (tptp.antisymmetric @t575))))) % 60.71/60.96 (assume @p478 (forall @t18 (=> @t102 (=> @t595 (and @t594 @t593))))) % 60.71/60.96 (assume @p479 (forall @t8 (=> @t121 (=> (tptp.finite @t115) (tptp.finite @t249))))) % 60.71/60.96 (assume @p480 (forall @t8 (=> @t369 (forall @t23 (=> @t80 (forall @t124 (=> @t79 (=> (and @t224 (tptp.below @t1 @t63 @t14)) @t169)))))))) % 60.71/60.96 (assume @p481 (forall @t8 (=> (and @t251 @t7) (forall @t23 (=> @t80 (forall @t124 (=> @t79 (forall @t118 (=> (tptp.element @t94 @t3) (=> (and @t280 (tptp.related @t1 @t63 @t94)) (tptp.related @t1 @t14 @t94))))))))))) % 60.71/60.96 (assume @p482 (forall @t8 (exists @t23 (and @t102 @t595)))) % 60.71/60.96 (assume @p483 (forall @t67 (=> @t104 (tptp.subset (tptp.set_intersection2 @t1 @t63) @t424)))) % 60.71/60.96 (assume @p484 (forall @t8 (=> @t207 (not (and (forall @t23 (not (and @t15 @t160))) (forall @t23 (=> @t390 (not (and @t548 (forall @t124 (=> @t96 (tptp.in @t547 @t63)))))))))))) % 60.71/60.96 (assume @p485 (forall @t18 (=> @t104 (= @t84 @t1)))) % 60.71/60.96 (assume @p486 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (= @t260 @t383)))))) % 60.71/60.96 (assume @p487 (forall @t8 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 60.71/60.96 (assume @p488 (forall @t18 (=> @t582 (forall @t124 (=> @t581 (= (tptp.below @t165 @t14 @t63) @t490)))))) % 60.71/60.96 (assume @p489 (forall @t18 (=> @t583 (or @t206 @t17)))) % 60.71/60.96 (assume @p490 (forall @t18 (=> (forall @t124 (= @t96 @t179)) @t105))) % 60.71/60.96 (assume @p491 (forall @t8 (tptp.reflexive @t195))) % 60.71/60.96 (assume @p492 (forall @t8 (tptp.subset tptp.empty_set @t1))) % 60.71/60.96 (assume @p493 (forall @t67 (=> @t64 (=> @t585 (and @t578 (tptp.in @t14 @t577)))))) % 60.71/60.96 (assume @p494 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (= @t253 @t389)))))) % 60.71/60.96 (assume @p495 (forall @t8 (=> (forall @t23 (=> @t15 (and @t40 @t103))) @t43))) % 60.71/60.96 (assume @p496 (forall @t18 (=> @t102 (=> @t596 (tptp.well_founded_relation @t575))))) % 60.71/60.96 (assume @p497 @t603) % 60.71/60.96 (assume @p498 (forall @t18 (=> @t40 (not (and @t104 @t185 (forall @t124 (=> @t467 (not (and @t96 (forall @t118 (=> @t474 (=> @t184 (tptp.ordinal_subset @t63 @t94))))))))))))) % 60.71/60.96 (assume @p499 (forall @t18 (=> @t102 (=> @t408 @t593)))) % 60.71/60.96 (assume @p500 (forall @t8 (=> @t43 (forall @t23 (=> @t40 (= @t17 (tptp.ordinal_subset @t173 @t14))))))) % 60.71/60.96 (assume @p501 (forall @t67 (=> @t104 (tptp.subset (tptp.set_difference @t1 @t63) @t425)))) % 60.71/60.96 (assume @p502 (forall @t150 (=> (= @t255 @t97) @t397))) % 60.71/60.96 (assume @p503 (forall @t18 (=> @t390 (= @t101 (and @t548 (forall @t124 (=> @t96 (= @t547 @t63)))))))) % 60.71/60.96 (assume @p504 (forall @t18 (=> @t15 (= (tptp.apply @t100 @t14) @t14)))) % 60.71/60.96 (assume @p505 (forall @t18 (tptp.subset @t247 @t1))) % 60.71/60.96 (assume @p506 (forall @t8 (=> @t62 (and (= @t249 (tptp.relation_dom @t263)) (= @t115 (tptp.relation_rng @t263)))))) % 60.71/60.96 (assume @p507 (forall @t67 (= (tptp.subset @t75 @t63) (and @t414 @t227)))) % 60.71/60.96 (assume @p508 (forall @t18 (=> @t102 (=> (and @t408 (tptp.subset @t1 @t194)) @t594)))) % 60.71/60.96 (assume @p509 (forall @t18 (= @t604 @t77))) % 60.71/60.96 (assume @p510 (forall @t8 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 60.71/60.96 (assume @p511 (forall @t8 (and (tptp.lower_bounded_semilattstr @t165) (= (tptp.bottom_of_semilattstr @t165) tptp.empty_set)))) % 60.71/60.96 (assume @p512 (forall @t67 (not (and @t17 @t227 @t96)))) % 60.71/60.96 (assume @p513 (forall @t18 (= @t415 @t104))) % 60.71/60.96 (assume @p514 (forall @t8 (tptp.transitive @t195))) % 60.71/60.96 (assume @p515 (forall @t18 (and (not (and @t606 (forall @t124 (not @t605)))) (not (and (exists @t124 @t605) @t268))))) % 60.71/60.96 (assume @p516 (forall @t8 (=> (tptp.subset @t1 tptp.empty_set) @t159))) % 60.71/60.96 (assume @p517 (forall @t18 (= (tptp.set_difference @t77 @t14) @t247))) % 60.71/60.96 (assume @p518 (forall @t8 (=> @t43 (= @t252 (forall @t23 (=> @t40 (=> @t15 (tptp.in @t542 @t1)))))))) % 60.71/60.96 (assume @p519 (forall @t8 (=> @t43 (and (not (and (not @t252) (forall @t23 (=> @t40 (not @t607))))) (not (and (exists @t23 (and @t40 @t607)) @t252)))))) % 60.71/60.96 (assume @p520 (forall @t18 (=> @t36 (forall @t124 (=> @t89 (= @t609 (tptp.subset @t14 @t608))))))) % 60.71/60.96 (assume @p521 (forall @t8 (=> @t391 (forall @t23 (=> @t178 (=> @t208 (tptp.closed_subset @t562 @t1))))))) % 60.71/60.96 (assume @p522 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (tptp.subset @t610 @t115)))))) % 60.71/60.96 (assume @p523 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (tptp.subset @t189 @t14)))))) % 60.71/60.96 (assume @p524 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (forall @t124 (=> (tptp.in @t63 @t3) (= (tptp.in @t63 @t136) (forall @t118 (=> @t553 (=> @t611 @t183))))))))))) % 60.71/60.96 (assume @p525 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (tptp.subset @t572 @t152)))))) % 60.71/60.96 (assume @p526 (forall @t18 (=> @t104 (= @t14 @t604)))) % 60.71/60.96 (assume @p527 (forall @t150 (=> @t591 (=> @t197 (forall @t116 (= (tptp.in @t106 (tptp.relation_inverse_image @t94 @t63)) (and @t122 (tptp.in (tptp.apply @t94 @t106) @t63)))))))) % 60.71/60.96 (assume @p528 (forall @t8 (=> @t391 (forall @t23 (=> @t138 (exists @t124 (and @t216 (forall @t118 (=> @t553 (= @t117 @t611))) (= @t136 (tptp.meet_of_subsets @t3 @t63))))))))) % 60.71/60.96 (assume @p529 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (=> (tptp.subset @t249 @t151) (= @t610 @t115))))))) % 60.71/60.96 (assume @p530 (forall @t18 (=> @t277 @t555))) % 60.71/60.96 (assume @p531 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (=> (tptp.subset @t115 @t152) (= (tptp.relation_rng @t347) @t249))))))) % 60.71/60.96 (assume @p532 (forall @t18 (=> @t277 (=> @t197 (= (tptp.subset_difference @t1 @t237 @t331) @t557))))) % 60.71/60.96 (assume @p533 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (tptp.subset @t14 @t136)))))) % 60.71/60.96 (assume @p534 (forall @t18 (=> @t277 (=> @t197 (= @t558 (tptp.subset_difference @t1 @t237 @t333)))))) % 60.71/60.96 (assume @p535 (forall @t18 (= (tptp.set_difference @t1 @t247) @t84))) % 60.71/60.96 (assume @p536 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (forall @t124 (=> @t267 (=> @t266 (tptp.relation_isomorphism @t14 @t1 (tptp.function_inverse @t63)))))))))) % 60.71/60.96 (assume @p537 (forall @t8 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 60.71/60.96 (assume @p538 (forall @t67 (=> (and @t17 @t612) (tptp.element @t1 @t63)))) % 60.71/60.96 (assume @p539 (forall @t8 (=> @t43 (tptp.connected @t195)))) % 60.71/60.96 (assume @p540 (forall @t18 (and (not (and @t606 (forall @t124 (not @t613)))) (not (and (exists @t124 @t613) @t268))))) % 60.71/60.96 (assume @p541 (forall @t8 (=> @t185 (forall @t23 (=> @t36 (forall @t124 (=> @t306 (=> @t225 (tptp.in @t63 @t254))))))))) % 60.71/60.96 (assume @p542 (forall @t8 (=> @t391 (forall @t23 (=> @t138 @t395))))) % 60.71/60.96 (assume @p543 (forall @t8 (=> @t139 (forall @t23 (=> @t138 (and (=> @t260 @t614) (=> (and @t147 @t614) @t260))))))) % 60.71/60.96 (assume @p544 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (forall @t124 (=> @t267 (=> @t266 (and (=> @t239 @t382) (=> @t143 @t380) (=> @t141 @t592) (=> @t126 @t381) (=> @t210 @t596)))))))))) % 60.71/60.96 (assume @p545 (forall @t8 (=> @t121 (=> @t71 (forall @t23 (=> @t390 (= (= @t14 @t279) (and (= @t151 @t249) (forall @t99 (and (=> @t615 @t248) (=> @t248 @t615))))))))))) % 60.71/60.96 (assume @p546 (forall @t67 (=> @t89 (not (and (tptp.in @t14 @t608) @t227))))) % 60.71/60.96 (assume @p547 (forall @t8 (=> @t62 (forall @t23 (=> @t102 (forall @t124 (=> @t267 (=> (and @t240 @t266) @t408)))))))) % 60.71/60.96 (assume @p548 (forall @t8 (=> @t121 (=> @t71 (and (= @t249 (tptp.relation_dom @t279)) (= @t115 (tptp.relation_rng @t279))))))) % 60.71/60.96 (assume @p549 (forall @t8 (=> @t391 (forall @t23 (=> (tptp.top_str @t14) (forall @t124 (=> @t137 (forall @t118 (=> (tptp.element @t94 (tptp.powerset @t164)) (and (=> (tptp.open_subset @t94 @t14) (= (tptp.interior @t14 @t94) @t94)) (=> (= @t145 @t63) @t190))))))))))) % 60.71/60.96 (assume @p550 (forall @t8 (=> @t62 (=> (forall @t113 @t411) @t159)))) % 60.71/60.96 (assume @p551 (forall @t18 (=> @t390 (=> (and @t418 (tptp.in @t1 @t152)) (and (= @t1 (tptp.apply @t14 (tptp.apply @t616 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t616 @t14) @t1))))))) % 60.71/60.96 (assume @p552 (forall @t8 (=> @t148 (forall @t23 (=> @t138 (forall @t124 (=> @t79 (=> (and @t253 @t179) (tptp.point_neighbourhood @t14 @t1 @t63))))))))) % 60.71/60.96 (assume @p553 (forall @t67 (not (and @t17 @t612 (tptp.empty @t63))))) % 60.71/60.96 (assume @p554 (forall @t8 (=> @t359 (forall @t23 (=> @t178 (not (and @t217 @t160))))))) % 60.71/60.96 (assume @p555 (forall @t8 (=> @t62 (= @t210 (tptp.is_well_founded_in @t1 @t125))))) % 60.71/60.96 (assume @p556 (forall @t8 (tptp.antisymmetric @t195))) % 60.71/60.96 (assume @p557 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 60.71/60.96 (assume @p558 (forall @t18 (not (and @t104 @t19)))) % 60.71/60.96 (assume @p559 (forall @t8 (=> @t121 (=> @t71 (tptp.one_to_one @t279))))) % 60.71/60.96 (assume @p560 (forall @t67 (=> (and @t104 @t609) (tptp.disjoint @t1 @t63)))) % 60.71/60.96 (assume @p561 (forall @t8 (=> @t62 (=> (or @t618 @t617) @t159)))) % 60.71/60.96 (assume @p562 (forall @t8 (=> @t62 (= @t618 @t617)))) % 60.71/60.96 (assume @p563 (forall @t18 (= (= (tptp.set_difference @t1 @t412) @t1) @t16))) % 60.71/60.96 (assume @p564 (forall @t18 (=> @t390 (forall @t124 (=> @t267 (= (= @t14 @t416) (and (= @t151 (tptp.set_intersection2 @t242 @t1)) (forall @t118 (=> (tptp.in @t94 @t151) (= (tptp.apply @t14 @t94) @t265)))))))))) % 60.71/60.96 (assume @p565 (forall @t8 (= (tptp.unordered_pair @t1 @t1) @t172))) % 60.71/60.96 (assume @p566 (forall @t8 (=> @t33 @t159))) % 60.71/60.96 (assume @p567 (forall @t150 (=> @t591 (=> @t96 (or @t160 (tptp.in @t590 @t570)))))) % 60.71/60.96 (assume @p568 (forall @t8 (=> @t43 (tptp.well_founded_relation @t195)))) % 60.71/60.96 (assume @p569 (forall @t18 (=> (tptp.subset @t172 @t412) @t105))) % 60.71/60.96 (assume @p570 (forall @t67 (=> @t267 (=> @t417 @t619)))) % 60.71/60.96 (assume @p571 (forall @t8 (and (= (tptp.relation_dom @t100) @t1) (= (tptp.relation_rng @t100) @t1)))) % 60.71/60.96 (assume @p572 (forall @t67 (=> @t267 (=> @t15 @t619)))) % 60.71/60.96 (assume @p573 (forall @t150 (=> @t494 (= (tptp.in @t255 (tptp.relation_composition (tptp.identity_relation @t63) @t94)) (and @t414 (tptp.in @t255 @t94)))))) % 60.71/60.96 (assume @p574 (forall @t18 (not (and @t17 @t206)))) % 60.71/60.96 (assume @p575 @t626) % 60.71/60.96 (assume @p576 (forall @t18 (and (= (tptp.pair_first @t255) @t1) (= (tptp.pair_second @t255) @t14)))) % 60.71/60.96 (assume @p577 (forall @t18 (not (and @t17 (forall @t124 (not (and @t179 (forall @t118 (not (and @t109 @t117)))))))))) % 60.71/60.96 (assume @p578 (forall @t8 (=> @t43 (tptp.well_ordering @t195)))) % 60.71/60.96 (assume @p579 (forall @t18 (tptp.subset @t1 @t77))) % 60.71/60.96 (assume @p580 (forall @t18 (= @t268 (= @t247 @t1)))) % 60.71/60.96 (assume @p581 (forall @t67 (=> @t64 (= (tptp.in @t1 (tptp.relation_dom @t563)) (and @t17 @t584))))) % 60.71/60.96 (assume @p582 (forall @t18 (=> @t102 (tptp.subset @t576 @t14)))) % 60.71/60.96 (assume @p583 (forall @t18 (not (and @t33 @t278 @t206)))) % 60.71/60.96 (assume @p584 (forall @t67 (=> @t267 (= @t585 (and @t584 (= @t14 @t587)))))) % 60.71/60.96 (assume @p585 (forall @t8 (=> @t62 (= (tptp.well_orders @t1 @t125) @t240)))) % 60.71/60.96 (assume @p586 (forall @t67 (=> (and @t104 @t215) (tptp.subset (tptp.set_union2 @t1 @t63) @t14)))) % 60.71/60.96 (assume @p587 (forall @t67 (=> @t627 @t105))) % 60.71/60.96 (assume @p588 (forall @t18 (=> @t102 (= (tptp.relation_dom @t576) @t567)))) % 60.71/60.96 (assume @p589 (forall @t18 (=> @t102 (= @t576 (tptp.relation_composition @t100 @t14))))) % 60.71/60.96 (assume @p590 (forall @t18 (=> @t102 (tptp.subset (tptp.relation_rng @t576) @t152)))) % 60.71/60.96 (assume @p591 (forall @t8 (= (tptp.union @t35) @t1))) % 60.71/60.96 (assume @p592 (forall @t150 (=> @t591 (=> @t490 (or (and @t160 @t185) (and @t312 (tptp.quasi_total @t94 @t1 @t63) (tptp.relation_of2_as_subset @t94 @t1 @t63))))))) % 60.71/60.96 (assume @p593 (forall @t8 (exists @t23 (and @t17 @t561 (forall @t124 (not (and @t179 (forall @t118 (not (and @t109 (forall @t116 (=> (tptp.subset @t106 @t63) @t149)))))))) @t559)))) % 60.71/60.96 (assume @p594 (forall @t67 (=> @t627 @t169))) % 60.71/60.96 (step @p595 :rule aci_norm :args ((= @t634 (or @t54 @t632 @t631 @t630 @t629)))) % 60.71/60.96 (step @p596 :rule cong :premises (@p595) :args (@t635)) % 60.71/60.96 (step @p597 :rule quant-merge-prenex :args ((= (forall @t8 @t637) @t635))) % 60.71/60.96 (step @p598 :rule alpha_equiv :args (@t638 (@list @t628) (@list @t14))) % 60.71/60.96 (step @p599 :rule refl :args (@t631)) % 60.71/60.96 (step @p600 :rule refl :args (@t632)) % 60.71/60.96 (step @p601 :rule refl :args (@t54)) % 60.71/60.96 (step @p602 :rule nary_cong :premises (@p601 @p600 @p599 @p598) :args (@t639)) % 60.71/60.96 (step @p603 :rule quant-miniscope-or :args ((= @t637 @t639))) % 60.71/60.96 (step @p604 :rule trans :premises (@p603 @p602)) % 60.71/60.96 (step @p605 :rule symm :premises (@p604)) % 60.71/60.96 (step @p606 :rule cong :premises (@p605) :args ((forall @t8 @t643))) % 60.71/60.96 (step @p607 :rule trans :premises (@p606 @p597)) % 60.71/60.96 (step @p608 :rule trans :premises (@p607 @p596)) % 60.71/60.96 (step @p609 :rule aci_norm :args ((= (or @t644 @t642) @t643))) % 60.71/60.96 (step @p610 :rule refl :args (@t642)) % 60.71/60.96 (step @p611 :rule bool-double-not-elim :args (@t54)) % 60.71/60.96 (step @p612 :rule nary_cong :premises (@p611 @p600 @p599) :args (@t646)) % 60.71/60.96 (step @p613 :rule aci_norm :args ((= (or @t645 (or @t632 @t631)) @t646))) % 60.71/60.96 (step @p614 :rule trans :premises (@p613 @p612)) % 60.71/60.96 (step @p615 :rule bool-and-de-morgan :args (@t57 @t13 true)) % 60.71/60.96 (step @p616 :rule refl :args (@t645)) % 60.71/60.96 (step @p617 :rule nary_cong :premises (@p616 @p615) :args ((or @t645 (not (and @t57 @t13))))) % 60.71/60.96 (step @p618 :rule bool-and-de-morgan :args (@t55 @t57 (and @t13))) % 60.71/60.96 (step @p619 :rule trans :premises (@p618 @p617)) % 60.71/60.96 (step @p620 :rule trans :premises (@p619 @p614)) % 60.71/60.96 (step @p621 :rule nary_cong :premises (@p620 @p610) :args ((or @t647 @t642))) % 60.71/60.96 (step @p622 :rule trans :premises (@p621 @p609)) % 60.71/60.96 (step @p623 :rule bool-impl-elim :args (@t201 @t642)) % 60.71/60.96 (step @p624 :rule trans :premises (@p623 @p622)) % 60.71/60.96 (step @p625 :rule cong :premises (@p624) :args ((forall @t8 (=> @t201 @t642)))) % 60.71/60.96 (step @p626 :rule trans :premises (@p625 @p608)) % 60.71/60.96 (step @p627 :rule bool-impl-elim :args (@t80 @t640)) % 60.71/60.96 (step @p628 :rule cong :premises (@p627) :args ((forall @t23 (=> @t80 @t640)))) % 60.71/60.96 (step @p629 :rule eq-symm :args (@t219 @t14)) % 60.71/60.96 (step @p630 :rule refl :args (@t80)) % 60.71/60.96 (step @p631 :rule cong :premises (@p630 @p629) :args (@t220)) % 60.71/60.96 (step @p632 :rule cong :premises (@p631) :args (@t221)) % 60.71/60.96 (step @p633 :rule trans :premises (@p632 @p628)) % 60.71/60.96 (step @p634 :rule refl :args (@t201)) % 60.71/60.96 (step @p635 :rule cong :premises (@p634 @p633) :args (@t222)) % 60.71/60.96 (step @p636 :rule cong :premises (@p635) :args (@t223)) % 60.71/60.96 (step @p637 :rule trans :premises (@p636 @p626)) % 60.71/60.96 (step @p638 :rule eq_resolve :premises (@p95 @p637)) % 60.71/60.96 (step @p639 :rule instantiate :premises (@p638) :args (@t658)) % 60.71/60.96 (step @p640 :rule aci_norm :args ((= @t660 @t653))) % 60.71/60.96 (step @p641 :rule cong :premises (@p640) :args (@t661)) % 60.71/60.96 (step @p642 :rule quant-merge-prenex :args ((= (forall @t8 @t663) @t661))) % 60.71/60.96 (step @p643 :rule alpha_equiv :args (@t664 (@list @t649 @t648) (@list @t14 @t665))) % 60.71/60.96 (step @p644 :rule nary_cong :premises (@p601 @p600 @p599 @p643) :args (@t666)) % 60.71/60.96 (step @p645 :rule quant-miniscope-or :args ((= @t663 @t666))) % 60.71/60.96 (step @p646 :rule trans :premises (@p645 @p644)) % 60.71/60.96 (step @p647 :rule symm :premises (@p646)) % 60.71/60.96 (step @p648 :rule cong :premises (@p647) :args ((forall @t8 @t672))) % 60.71/60.96 (step @p649 :rule trans :premises (@p648 @p642)) % 60.71/60.96 (step @p650 :rule trans :premises (@p649 @p641)) % 60.71/60.96 (step @p651 :rule aci_norm :args ((= (or @t644 @t671) @t672))) % 60.71/60.96 (step @p652 :rule refl :args (@t671)) % 60.71/60.96 (step @p653 :rule nary_cong :premises (@p620 @p652) :args ((or @t647 @t671))) % 60.71/60.96 (step @p654 :rule trans :premises (@p653 @p651)) % 60.71/60.96 (step @p655 :rule bool-impl-elim :args (@t201 @t671)) % 60.71/60.96 (step @p656 :rule trans :premises (@p655 @p654)) % 60.71/60.96 (step @p657 :rule cong :premises (@p656) :args ((forall @t8 (=> @t201 @t671)))) % 60.71/60.96 (step @p658 :rule trans :premises (@p657 @p650)) % 60.71/60.96 (step @p659 :rule aci_norm :args ((= @t674 @t669))) % 60.71/60.96 (step @p660 :rule cong :premises (@p659) :args (@t675)) % 60.71/60.96 (step @p661 :rule quant-merge-prenex :args ((= (forall @t23 @t677) @t675))) % 60.71/60.96 (step @p662 :rule alpha_equiv :args (@t678 (@list @t665) @t679)) % 60.71/60.96 (step @p663 :rule refl :args (@t641)) % 60.71/60.96 (step @p664 :rule nary_cong :premises 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60.71/60.96 (step @p1045 :rule cnf_and_pos :args (@t766 1)) % 60.71/60.96 (step @p1046 :rule reordering :premises (@p1045) :args ((or @t764 @t768))) % 60.71/60.96 (step @p1047 :rule chain_m_resolution :premises (@p1046 @p868) :args (@t764 @t732 @t769)) % 60.71/60.96 (step @p1048 :rule aci_norm :args ((= (or @t644 @t387) (or @t54 @t632 @t631 @t387)))) % 60.71/60.96 (step @p1049 :rule refl :args (@t387)) % 60.71/60.96 (step @p1050 :rule nary_cong :premises (@p620 @p1049) :args ((or @t647 @t387))) % 60.71/60.96 (step @p1051 :rule trans :premises (@p1050 @p1048)) % 60.71/60.96 (step @p1052 :rule bool-impl-elim :args (@t201 @t387)) % 60.71/60.96 (step @p1053 :rule trans :premises (@p1052 @p1051)) % 60.71/60.96 (step @p1054 :rule cong :premises (@p1053) :args (@t388)) % 60.71/60.96 (step @p1055 :rule eq_resolve :premises (@p258 @p1054)) % 60.71/60.96 (step @p1056 :rule instantiate :premises (@p1055) :args (@t709)) % 60.71/60.96 (step @p1057 :rule cnf_or_pos :args (@t845)) % 60.71/60.96 (step @p1058 :rule reordering :premises (@p1057) :args ((or @t699 @t698 @t696 @t844 (not @t845)))) % 60.71/60.96 (step @p1059 :rule chain_m_resolution :premises (@p1058 @p705 @p703 @p697 @p1056) :args (@t844 @t714 (@list @t699 @t697 @t695 @t845))) % 60.71/60.96 (step @p1060 :rule cnf_and_pos :args (@t844 0)) % 60.71/60.96 (step @p1061 :rule reordering :premises (@p1060) :args ((or @t843 (not @t844)))) % 60.71/60.96 (step @p1062 :rule chain_m_resolution :premises (@p1061 @p1059) :args (@t843 @t732 (@list @t844))) % 60.71/60.96 (step @p1063 :rule cnf_or_pos :args (@t839)) % 60.71/60.96 (step @p1064 :rule reordering :premises (@p1063) :args ((or @t834 @t833 @t773 @t832 @t830 @t838 (not @t839)))) % 60.71/60.96 (step @p1065 :rule chain_m_resolution :premises (@p1064 @p1062 @p1047 @p874 @p1044 @p1040 @p1017) :args (@t838 @t821 (@list @t834 @t764 @t761 @t831 @t829 @t839))) % 60.71/60.96 (step @p1066 :rule cnf_equiv_pos2 :args (@t838)) % 60.71/60.96 (step @p1067 :rule reordering :premises (@p1066) :args ((or @t689 @t847 @t846))) % 60.71/60.96 (step @p1068 :rule aci_norm :args ((= @t854 (or @t760 @t852 @t851 @t850)))) % 60.71/60.96 (step @p1069 :rule cong :premises (@p1068) :args (@t855)) % 60.71/60.96 (step @p1070 :rule quant-merge-prenex :args ((= (forall @t8 @t857) @t855))) % 60.71/60.96 (step @p1071 :rule alpha_equiv :args (@t858 (@list @t849 @t848) (@list @t14 @t859))) % 60.71/60.96 (step @p1072 :rule nary_cong :premises (@p849 @p1071) :args (@t860)) % 60.71/60.96 (step @p1073 :rule quant-miniscope-or :args ((= @t857 @t860))) % 60.71/60.96 (step @p1074 :rule trans :premises (@p1073 @p1072)) % 60.71/60.96 (step @p1075 :rule symm :premises (@p1074)) % 60.71/60.96 (step @p1076 :rule cong :premises (@p1075) :args ((forall @t8 (or @t760 @t865)))) % 60.71/60.96 (step @p1077 :rule trans :premises (@p1076 @p1070)) % 60.71/60.96 (step @p1078 :rule trans :premises (@p1077 @p1069)) % 60.71/60.96 (step @p1079 :rule bool-impl-elim :args (@t7 @t865)) % 60.71/60.96 (step @p1080 :rule cong :premises (@p1079) :args ((forall @t8 (=> @t7 @t865)))) % 60.71/60.96 (step @p1081 :rule trans :premises (@p1080 @p1078)) % 60.71/60.96 (step @p1082 :rule aci_norm :args ((= @t867 @t863))) % 60.71/60.96 (step @p1083 :rule cong :premises (@p1082) :args (@t868)) % 60.71/60.96 (step @p1084 :rule quant-merge-prenex :args ((= (forall @t23 @t870) @t868))) % 60.71/60.96 (step @p1085 :rule alpha_equiv :args (@t871 (@list @t859) @t679)) % 60.71/60.96 (step @p1086 :rule nary_cong :premises (@p663 @p1085) :args (@t872)) % 60.71/60.96 (step @p1087 :rule quant-miniscope-or :args ((= @t870 @t872))) % 60.71/60.96 (step @p1088 :rule trans :premises (@p1087 @p1086)) % 60.71/60.96 (step @p1089 :rule symm :premises (@p1088)) % 60.71/60.96 (step @p1090 :rule cong :premises (@p1089) :args ((forall @t23 (or @t641 @t873)))) % 60.71/60.96 (step @p1091 :rule trans :premises (@p1090 @p1084)) % 60.71/60.96 (step @p1092 :rule trans :premises (@p1091 @p1083)) % 60.71/60.96 (step @p1093 :rule bool-impl-elim :args (@t80 @t873)) % 60.71/60.96 (step @p1094 :rule cong :premises (@p1093) :args ((forall @t23 (=> @t80 @t873)))) % 60.71/60.96 (step @p1095 :rule trans :premises (@p1094 @p1092)) % 60.71/60.96 (step @p1096 :rule bool-impl-elim :args (@t79 @t281)) % 60.71/60.96 (step @p1097 :rule cong :premises (@p1096) :args (@t282)) % 60.71/60.96 (step @p1098 :rule cong :premises (@p630 @p1097) :args (@t283)) % 60.71/60.96 (step @p1099 :rule cong :premises (@p1098) :args (@t284)) % 60.71/60.96 (step @p1100 :rule trans :premises (@p1099 @p1095)) % 60.71/60.96 (step @p1101 :rule refl :args (@t7)) % 60.71/60.96 (step @p1102 :rule cong :premises (@p1101 @p1100) :args (@t285)) % 60.71/60.96 (step @p1103 :rule cong :premises (@p1102) :args (@t286)) % 60.71/60.96 (step @p1104 :rule trans :premises (@p1103 @p1081)) % 60.71/60.96 (step @p1105 :rule eq_resolve :premises (@p138 @p1104)) % 60.71/60.96 (step @p1106 :rule instantiate :premises (@p1105) :args (@t837)) % 60.71/60.96 (step @p1107 :rule cnf_or_pos :args (@t877)) % 60.71/60.96 (step @p1108 :rule reordering :premises (@p1107) :args ((or @t773 @t832 @t830 @t876 (not @t877)))) % 60.71/60.96 (step @p1109 :rule chain_m_resolution :premises (@p1108 @p874 @p1044 @p1040 @p1106) :args (@t876 (@list false false false false) (@list @t761 @t831 @t829 @t877))) % 60.71/60.96 (step @p1110 :rule cnf_equiv_pos2 :args (@t876)) % 60.71/60.96 (step @p1111 :rule reordering :premises (@p1110) :args ((or @t828 @t879 @t878))) % 60.71/60.96 (assume-push @p1229 @t703) % 60.71/60.96 (assume-push @p1230 @t707) % 60.71/60.96 (assume-push @p1231 @t712) % 60.71/60.96 (assume-push @p1232 @t716) % 60.71/60.96 (assume-push @p1233 @t818) % 60.71/60.96 (assume-push @p1234 @t730) % 60.71/60.96 (assume-push @p1235 @t784) % 60.71/60.96 (assume-push @p1236 @t818) % 60.71/60.96 (assume-push @p1237 @t712) % 60.71/60.96 (assume-push @p1238 @t730) % 60.71/60.96 (assume-push @p1239 @t703) % 60.71/60.96 (assume-push @p1240 @t707) % 60.71/60.96 (assume-push @p1241 @t716) % 60.71/60.96 (assume-push @p1242 @t784) % 60.71/60.96 (step @p1126 :rule true_intro :premises (@p1233)) % 60.71/60.96 (step @p1127 :rule symm :premises (@p730)) % 60.71/60.96 (step @p1128 :rule refl :args (@t726)) % 60.71/60.96 (step @p1129 :rule cong :premises (@p1128 @p1127) :args (@t880)) % 60.71/60.96 (step @p1130 :rule symm :premises (@p916)) % 60.71/60.96 (step @p1131 :rule trans :premises (@p1130 @p742 @p730)) % 60.71/60.96 (step @p1132 :rule symm :premises (@p823)) % 60.71/60.96 (step @p1133 :rule symm :premises (@p718)) % 60.71/60.96 (step @p1134 :rule symm :premises (@p708)) % 60.71/60.96 (step @p1135 :rule cong :premises (@p1134 @p1133) :args (@t874)) % 60.71/60.96 (step @p1136 :rule trans :premises (@p1135 @p1132)) % 60.71/60.96 (step @p1137 :rule cong :premises (@p1136 @p1131) :args (@t875)) % 60.71/60.96 (step @p1138 :rule trans :premises (@p1137 @p1129 @p1126)) % 60.71/60.96 (step @p1139 :rule true_elim :premises (@p1138)) % 60.71/60.96 (step-pop @p1243 :rule scope :premises (@p1139)) % 60.71/60.96 (step-pop @p1244 :rule scope :premises (@p1243)) % 60.71/60.96 (step-pop @p1245 :rule scope :premises (@p1244)) % 60.71/60.96 (step-pop @p1246 :rule scope :premises (@p1245)) % 60.71/60.96 (step-pop @p1247 :rule scope :premises (@p1246)) % 60.71/60.96 (step-pop @p1248 :rule scope :premises (@p1247)) % 60.71/60.96 (step-pop @p1249 :rule scope :premises (@p1248)) % 60.71/60.96 (step @p1140 :rule process_scope :premises (@p1249) :args (@t875)) % 60.71/60.96 (step @p1148 :rule and_intro :premises (@p1233 @p730 @p823 @p708 @p718 @p742 @p916)) % 60.71/60.96 (step @p1149 :rule modus_ponens :premises (@p1148 @p1140)) % 60.71/60.96 (step-pop @p1250 :rule scope :premises (@p1149)) % 60.71/60.96 (step-pop @p1251 :rule scope :premises (@p1250)) % 60.71/60.96 (step-pop @p1252 :rule scope :premises (@p1251)) % 60.71/60.96 (step-pop @p1253 :rule scope :premises (@p1252)) % 60.71/60.96 (step-pop @p1254 :rule scope :premises (@p1253)) % 60.71/60.96 (step-pop @p1255 :rule scope :premises (@p1254)) % 60.71/60.96 (step-pop @p1256 :rule scope :premises (@p1255)) % 60.71/60.96 (step @p1150 :rule process_scope :premises (@p1256) :args (@t875)) % 60.71/60.96 (step @p1158 :rule implies_elim :premises (@p1150)) % 60.71/60.96 (step @p1159 :rule cnf_and_neg :args (@t881)) % 60.71/60.96 (step @p1160 :rule resolution :premises (@p1159 @p1158) :args (true @t881)) % 60.71/60.96 (step @p1161 :rule reordering :premises (@p1160) :args ((or @t888 @t887 @t886 @t885 @t884 @t875 @t883 @t882))) % 60.71/60.96 (step @p1162 :rule chain_m_resolution :premises (@p1161 @p916 @p823 @p742 @p730 @p718 @p708 @p1111 @p1109 @p1067 @p1065 @p972 @p967 @p970 @p969) :args (@t823 (@list false false false false false false true false true false false false true true) (@list @t784 @t730 @t716 @t712 @t707 @t703 @t875 @t876 @t828 @t838 @t818 @t819 @t689 @t691))) % 60.71/60.96 (step @p1163 :rule cnf_equiv_pos2 :args (@t819)) % 60.71/60.96 (step @p1164 :rule reordering :premises (@p1163) :args ((or @t690 @t884 @t822))) % 60.71/60.96 (step @p1165 :rule chain_m_resolution :premises (@p1164 @p1162 @p967) :args (@t884 (@list true false) (@list @t690 @t819))) % 60.71/60.96 (step @p1166 :rule cnf_equiv_neg1 :args (@t691)) % 60.71/60.96 (step @p1167 :rule reordering :premises (@p1166) :args ((or @t690 @t689 @t691))) % 60.71/60.96 (step @p1168 :rule chain_m_resolution :premises (@p1167 @p1162 @p969) :args (@t689 (@list true true) (@list @t690 @t691))) % 60.71/60.96 (step @p1169 :rule cnf_equiv_pos1 :args (@t838)) % 60.71/60.96 (step @p1170 :rule reordering :premises (@p1169) :args ((or (not @t689) @t828 @t846))) % 60.71/60.96 (step @p1171 :rule chain_m_resolution :premises (@p1170 @p1168 @p1065) :args (@t828 @t737 (@list @t689 @t838))) % 60.71/60.96 (step @p1172 :rule cnf_equiv_pos1 :args (@t876)) % 60.71/60.96 (step @p1173 :rule reordering :premises (@p1172) :args ((or @t847 @t875 @t878))) % 60.71/60.96 (step @p1174 :rule chain_m_resolution :premises (@p1173 @p1171 @p1109) :args (@t875 @t737 (@list @t828 @t876))) % 60.71/60.96 (step @p1175 :rule refl :args (@t879)) % 60.71/60.96 (step @p1176 :rule refl :args (@t882)) % 60.71/60.96 (step @p1177 :rule refl :args (@t883)) % 60.71/60.96 (step @p1178 :rule bool-double-not-elim :args (@t818)) % 60.71/60.96 (step @p1179 :rule refl :args (@t885)) % 60.71/60.96 (step @p1180 :rule refl :args (@t886)) % 60.71/60.96 (step @p1181 :rule refl :args (@t887)) % 60.71/60.96 (step @p1182 :rule refl :args (@t888)) % 60.71/60.96 (step @p1183 :rule nary_cong :premises (@p1182 @p1181 @p1180 @p1179 @p1178 @p1177 @p1176 @p1175) :args ((or @t888 @t887 @t886 @t885 (not @t884) @t883 @t882 @t879))) % 60.71/60.96 (assume-push @p1257 @t703) % 60.71/60.96 (assume-push @p1258 @t707) % 60.71/60.96 (assume-push @p1259 @t712) % 60.71/60.96 (assume-push @p1260 @t716) % 60.71/60.96 (assume-push @p1261 @t884) % 60.71/60.96 (assume-push @p1262 @t730) % 60.71/60.97 (assume-push @p1263 @t784) % 60.71/60.97 (assume-push @p1264 @t884) % 60.71/60.97 (assume-push @p1265 @t712) % 60.71/60.97 (assume-push @p1266 @t730) % 60.71/60.97 (assume-push @p1267 @t703) % 60.71/60.97 (assume-push @p1268 @t707) % 60.71/60.97 (assume-push @p1269 @t716) % 60.71/60.97 (assume-push @p1270 @t784) % 60.71/60.97 (step @p1198 :rule false_intro :premises (@p1261)) % 60.71/60.97 (step @p1127 :rule symm :premises (@p730)) % 60.71/60.97 (step @p1128 :rule refl :args (@t726)) % 60.71/60.97 (step @p1129 :rule cong :premises (@p1128 @p1127) :args (@t880)) % 60.71/60.97 (step @p1130 :rule symm :premises (@p916)) % 60.71/60.97 (step @p1131 :rule trans :premises (@p1130 @p742 @p730)) % 60.71/60.97 (step @p1132 :rule symm :premises (@p823)) % 60.71/60.97 (step @p1133 :rule symm :premises (@p718)) % 60.71/60.97 (step @p1134 :rule symm :premises (@p708)) % 60.71/60.97 (step @p1135 :rule cong :premises (@p1134 @p1133) :args (@t874)) % 60.71/60.97 (step @p1136 :rule trans :premises (@p1135 @p1132)) % 60.71/60.97 (step @p1137 :rule cong :premises (@p1136 @p1131) :args (@t875)) % 60.71/60.97 (step @p1199 :rule trans :premises (@p1137 @p1129 @p1198)) % 60.71/60.97 (step @p1200 :rule false_elim :premises (@p1199)) % 60.71/60.97 (step-pop @p1271 :rule scope :premises (@p1200)) % 60.71/60.97 (step-pop @p1272 :rule scope :premises (@p1271)) % 60.71/60.97 (step-pop @p1273 :rule scope :premises (@p1272)) % 60.71/60.97 (step-pop @p1274 :rule scope :premises (@p1273)) % 60.71/60.97 (step-pop @p1275 :rule scope :premises (@p1274)) % 60.71/60.97 (step-pop @p1276 :rule scope :premises (@p1275)) % 60.71/60.97 (step-pop @p1277 :rule scope :premises (@p1276)) % 60.71/60.97 (step @p1201 :rule process_scope :premises (@p1277) :args (@t879)) % 60.71/60.97 (step @p1209 :rule and_intro :premises (@p1261 @p730 @p823 @p708 @p718 @p742 @p916)) % 60.71/60.97 (step @p1210 :rule modus_ponens :premises (@p1209 @p1201)) % 60.71/60.97 (step-pop @p1278 :rule scope :premises (@p1210)) % 60.71/60.97 (step-pop @p1279 :rule scope :premises (@p1278)) % 60.71/60.97 (step-pop @p1280 :rule scope :premises (@p1279)) % 60.71/60.97 (step-pop @p1281 :rule scope :premises (@p1280)) % 60.71/60.97 (step-pop @p1282 :rule scope :premises (@p1281)) % 60.71/60.97 (step-pop @p1283 :rule scope :premises (@p1282)) % 60.71/60.97 (step-pop @p1284 :rule scope :premises (@p1283)) % 60.71/60.97 (step @p1211 :rule process_scope :premises (@p1284) :args (@t879)) % 60.71/60.97 (step @p1219 :rule implies_elim :premises (@p1211)) % 60.71/60.97 (step @p1220 :rule cnf_and_neg :args (@t889)) % 60.71/60.97 (step @p1221 :rule resolution :premises (@p1220 @p1219) :args (true @t889)) % 60.71/60.97 (step @p1222 :rule eq_resolve :premises (@p1221 @p1183)) % 60.71/60.97 (step @p1223 :rule reordering :premises (@p1222) :args ((or @t888 @t887 @t818 @t886 @t885 @t879 @t883 @t882))) % 60.71/60.97 (step @p1224 false :rule chain_m_resolution :premises (@p1223 @p1174 @p1165 @p916 @p823 @p742 @p730 @p718 @p708) :args (false (@list false true false false false false false false) (@list @t875 @t818 @t784 @t730 @t716 @t712 @t707 @t703))) % 60.71/60.97 ) % 60.71/60.97 % SZS output end Proof % 60.71/60.97 % cvc5 exiting %------------------------------------------------------------------------------