%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU353+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:29 AM UTC 2026 % Result : Theorem 5.03s 5.27s % Output : Proof 5.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU353+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:00:55 EDT 2026 % 0.18/0.35 % CPUTime : % 0.41/0.69 %----Proving TF0_NAR, FOF, or CNF % 5.03/5.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.03/5.27 % SZS status Theorem % 5.03/5.27 % SZS output start Proof % 5.03/5.27 ( % 5.03/5.27 (declare-sort $$unsorted 0) % 5.03/5.27 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.function (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.omega $$unsorted) % 5.03/5.27 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.transitive (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.lattice (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.natural (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.empty (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.finite (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.empty_set $$unsorted) % 5.03/5.27 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.top_str (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.connected (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 5.03/5.27 (declare-const tptp.centered (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 5.03/5.27 (define @t1 () (@var "A" $$unsorted)) % 5.03/5.27 (define @t2 () (tptp.the_InternalRel @t1)) % 5.03/5.27 (define @t3 () (tptp.the_carrier @t1)) % 5.03/5.27 (define @t4 () (tptp.strict_rel_str @t1)) % 5.03/5.27 (define @t5 () (tptp.rel_str @t1)) % 5.03/5.27 (define @t6 () (@list @t1)) % 5.03/5.27 (define @t7 () (tptp.the_L_meet @t1)) % 5.03/5.27 (define @t8 () (tptp.the_L_join @t1)) % 5.03/5.27 (define @t9 () (tptp.strict_latt_str @t1)) % 5.03/5.27 (define @t10 () (tptp.latt_str @t1)) % 5.03/5.27 (define @t11 () (@var "B" $$unsorted)) % 5.03/5.27 (define @t12 () (tptp.in @t11 @t1)) % 5.03/5.27 (define @t13 () (not @t12)) % 5.03/5.27 (define @t14 () (tptp.in @t1 @t11)) % 5.03/5.27 (define @t15 () (@list @t1 @t11)) % 5.03/5.27 (define @t16 () (tptp.proper_subset @t11 @t1)) % 5.03/5.27 (define @t17 () (tptp.proper_subset @t1 @t11)) % 5.03/5.27 (define @t18 () (tptp.v1_xcmplx_0 @t11)) % 5.03/5.27 (define @t19 () (tptp.element @t11 @t1)) % 5.03/5.27 (define @t20 () (@list @t11)) % 5.03/5.27 (define @t21 () (tptp.v1_membered @t1)) % 5.03/5.27 (define @t22 () (tptp.v1_xreal_0 @t11)) % 5.03/5.27 (define @t23 () (tptp.v2_membered @t1)) % 5.03/5.27 (define @t24 () (tptp.v1_rat_1 @t11)) % 5.03/5.27 (define @t25 () (tptp.v3_membered @t1)) % 5.03/5.27 (define @t26 () (tptp.v1_int_1 @t11)) % 5.03/5.27 (define @t27 () (tptp.v4_membered @t1)) % 5.03/5.27 (define @t28 () (tptp.natural @t11)) % 5.03/5.27 (define @t29 () (tptp.v5_membered @t1)) % 5.03/5.27 (define @t30 () (tptp.empty @t1)) % 5.03/5.27 (define @t31 () (tptp.v1_membered @t11)) % 5.03/5.27 (define @t32 () (tptp.powerset @t1)) % 5.03/5.27 (define @t33 () (tptp.element @t11 @t32)) % 5.03/5.27 (define @t34 () (tptp.v2_membered @t11)) % 5.03/5.27 (define @t35 () (tptp.v3_membered @t11)) % 5.03/5.27 (define @t36 () (tptp.v4_membered @t11)) % 5.03/5.27 (define @t37 () (tptp.ordinal @t11)) % 5.03/5.27 (define @t38 () (tptp.epsilon_connected @t11)) % 5.03/5.27 (define @t39 () (tptp.epsilon_transitive @t11)) % 5.03/5.27 (define @t40 () (tptp.ordinal @t1)) % 5.03/5.27 (define @t41 () (tptp.finite @t1)) % 5.03/5.27 (define @t42 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 5.03/5.27 (define @t43 () (tptp.preboolean @t1)) % 5.03/5.27 (define @t44 () (tptp.function @t1)) % 5.03/5.27 (define @t45 () (@var "C" $$unsorted)) % 5.03/5.27 (define @t46 () (tptp.quasi_total @t45 @t1 @t11)) % 5.03/5.27 (define @t47 () (tptp.function @t45)) % 5.03/5.27 (define @t48 () (and @t47 @t46)) % 5.03/5.27 (define @t49 () (tptp.v1_partfun1 @t45 @t1 @t11)) % 5.03/5.27 (define @t50 () (tptp.relation_of2 @t45 @t1 @t11)) % 5.03/5.27 (define @t51 () (@list @t1 @t11 @t45)) % 5.03/5.27 (define @t52 () (tptp.join_absorbing @t1)) % 5.03/5.27 (define @t53 () (tptp.meet_absorbing @t1)) % 5.03/5.27 (define @t54 () (tptp.meet_associative @t1)) % 5.03/5.27 (define @t55 () (tptp.meet_commutative @t1)) % 5.03/5.27 (define @t56 () (tptp.join_associative @t1)) % 5.03/5.27 (define @t57 () (tptp.join_commutative @t1)) % 5.03/5.27 (define @t58 () (tptp.empty_carrier @t1)) % 5.03/5.27 (define @t59 () (not @t58)) % 5.03/5.27 (define @t60 () (and @t59 @t57 @t56 @t55 @t54 @t53 @t52)) % 5.03/5.27 (define @t61 () (tptp.lattice @t1)) % 5.03/5.27 (define @t62 () (and @t59 @t61)) % 5.03/5.27 (define @t63 () (tptp.epsilon_connected @t1)) % 5.03/5.27 (define @t64 () (tptp.epsilon_transitive @t1)) % 5.03/5.27 (define @t65 () (and @t64 @t63)) % 5.03/5.27 (define @t66 () (tptp.reflexive @t1)) % 5.03/5.27 (define @t67 () (tptp.relation @t1)) % 5.03/5.27 (define @t68 () (tptp.transitive @t1)) % 5.03/5.27 (define @t69 () (tptp.relation @t45)) % 5.03/5.27 (define @t70 () (tptp.cartesian_product2 @t1 @t11)) % 5.03/5.27 (define @t71 () (tptp.element @t45 (tptp.powerset @t70))) % 5.03/5.27 (define @t72 () (tptp.natural @t1)) % 5.03/5.27 (define @t73 () (and @t64 @t63 @t40 @t72)) % 5.03/5.27 (define @t74 () (tptp.finite @t11)) % 5.03/5.27 (define @t75 () (tptp.one_to_one @t1)) % 5.03/5.27 (define @t76 () (and @t67 @t44 @t75)) % 5.03/5.27 (define @t77 () (and @t67 @t30 @t44)) % 5.03/5.27 (define @t78 () (tptp.one_to_one @t45)) % 5.03/5.27 (define @t79 () (and @t47 @t78 @t46 (tptp.onto @t45 @t1 @t11))) % 5.03/5.27 (define @t80 () (and @t47 @t46 (tptp.bijective @t45 @t1 @t11))) % 5.03/5.27 (define @t81 () (and @t64 @t63 @t40)) % 5.03/5.27 (define @t82 () (tptp.bijective @t11 @t1 @t1)) % 5.03/5.27 (define @t83 () (tptp.onto @t11 @t1 @t1)) % 5.03/5.27 (define @t84 () (tptp.quasi_total @t11 @t1 @t1)) % 5.03/5.27 (define @t85 () (tptp.one_to_one @t11)) % 5.03/5.27 (define @t86 () (tptp.function @t11)) % 5.03/5.27 (define @t87 () (tptp.reflexive @t11)) % 5.03/5.27 (define @t88 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 5.03/5.27 (define @t89 () (tptp.relation_of2 @t11 @t1 @t1)) % 5.03/5.27 (define @t90 () (@list @t45)) % 5.03/5.27 (define @t91 () (tptp.empty @t11)) % 5.03/5.27 (define @t92 () (not @t91)) % 5.03/5.27 (define @t93 () (tptp.empty @t45)) % 5.03/5.27 (define @t94 () (not @t30)) % 5.03/5.27 (define @t95 () (and @t94 @t92)) % 5.03/5.27 (define @t96 () (tptp.unordered_pair @t1 @t11)) % 5.03/5.27 (define @t97 () (tptp.set_union2 @t11 @t1)) % 5.03/5.27 (define @t98 () (tptp.set_union2 @t1 @t11)) % 5.03/5.27 (define @t99 () (tptp.join_commut @t1 @t11 @t45)) % 5.03/5.27 (define @t100 () (tptp.element @t45 @t3)) % 5.03/5.27 (define @t101 () (tptp.element @t11 @t3)) % 5.03/5.27 (define @t102 () (tptp.join_semilatt_str @t1)) % 5.03/5.27 (define @t103 () (and @t59 @t57 @t102 @t101 @t100)) % 5.03/5.27 (define @t104 () (tptp.set_intersection2 @t11 @t1)) % 5.03/5.27 (define @t105 () (tptp.set_intersection2 @t1 @t11)) % 5.03/5.27 (define @t106 () (tptp.meet_commut @t1 @t11 @t45)) % 5.03/5.27 (define @t107 () (tptp.meet_semilatt_str @t1)) % 5.03/5.27 (define @t108 () (and @t59 @t55 @t107 @t101 @t100)) % 5.03/5.27 (define @t109 () (tptp.subset_union2 @t1 @t11 @t45)) % 5.03/5.27 (define @t110 () (tptp.element @t45 @t32)) % 5.03/5.27 (define @t111 () (and @t33 @t110)) % 5.03/5.27 (define @t112 () (tptp.subset_intersection2 @t1 @t11 @t45)) % 5.03/5.27 (define @t113 () (tptp.ordinal_subset @t1 @t11)) % 5.03/5.27 (define @t114 () (and @t40 @t37)) % 5.03/5.27 (define @t115 () (@var "D" $$unsorted)) % 5.03/5.27 (define @t116 () (= @t45 @t115)) % 5.03/5.27 (define @t117 () (tptp.in @t45 @t1)) % 5.03/5.27 (define @t118 () (tptp.ordered_pair @t45 @t115)) % 5.03/5.27 (define @t119 () (tptp.in @t118 @t11)) % 5.03/5.27 (define @t120 () (@list @t45 @t115)) % 5.03/5.27 (define @t121 () (tptp.identity_relation @t1)) % 5.03/5.27 (define @t122 () (= @t11 @t121)) % 5.03/5.27 (define @t123 () (tptp.relation @t11)) % 5.03/5.27 (define @t124 () (tptp.subset @t11 @t1)) % 5.03/5.27 (define @t125 () (tptp.subset @t1 @t11)) % 5.03/5.27 (define @t126 () (= @t1 @t11)) % 5.03/5.27 (define @t127 () (tptp.identity_on_carrier @t1)) % 5.03/5.27 (define @t128 () (= @t127 (tptp.identity_as_relation_of @t3))) % 5.03/5.27 (define @t129 () (tptp.one_sorted_str @t1)) % 5.03/5.27 (define @t130 () (forall @t6 (=> @t129 @t128))) % 5.03/5.27 (define @t131 () (@var "E" $$unsorted)) % 5.03/5.27 (define @t132 () (tptp.ordered_pair @t115 @t131)) % 5.03/5.27 (define @t133 () (tptp.in @t132 @t1)) % 5.03/5.27 (define @t134 () (tptp.in @t115 @t11)) % 5.03/5.27 (define @t135 () (tptp.in @t132 @t45)) % 5.03/5.27 (define @t136 () (@list @t115 @t131)) % 5.03/5.27 (define @t137 () (tptp.relation_dom_restriction @t1 @t11)) % 5.03/5.27 (define @t138 () (@list @t11 @t45)) % 5.03/5.27 (define @t139 () (tptp.in @t131 @t11)) % 5.03/5.27 (define @t140 () (tptp.relation_dom @t1)) % 5.03/5.27 (define @t141 () (@list @t131)) % 5.03/5.27 (define @t142 () (tptp.in @t115 @t45)) % 5.03/5.27 (define @t143 () (@list @t115)) % 5.03/5.27 (define @t144 () (tptp.relation_image @t1 @t11)) % 5.03/5.27 (define @t145 () (= @t45 @t144)) % 5.03/5.27 (define @t146 () (and @t67 @t44)) % 5.03/5.27 (define @t147 () (tptp.in @t131 @t1)) % 5.03/5.27 (define @t148 () (tptp.relation_rng_restriction @t1 @t11)) % 5.03/5.27 (define @t149 () (tptp.relation_field @t1)) % 5.03/5.27 (define @t150 () (tptp.antisymmetric @t1)) % 5.03/5.27 (define @t151 () (tptp.apply @t1 @t115)) % 5.03/5.27 (define @t152 () (tptp.in @t115 @t140)) % 5.03/5.27 (define @t153 () (= @t45 (tptp.relation_inverse_image @t1 @t11))) % 5.03/5.27 (define @t154 () (tptp.meet @t1 @t11 @t45)) % 5.03/5.27 (define @t155 () (forall @t90 (=> @t100 (and (= @t154 @t11) (= (tptp.meet @t1 @t45 @t11) @t11))))) % 5.03/5.27 (define @t156 () (tptp.lower_bounded_semilattstr @t1)) % 5.03/5.27 (define @t157 () (and @t59 @t107)) % 5.03/5.27 (define @t158 () (tptp.powerset @t3)) % 5.03/5.27 (define @t159 () (tptp.element @t131 @t158)) % 5.03/5.27 (define @t160 () (tptp.topstr_closure @t1 @t11)) % 5.03/5.27 (define @t161 () (tptp.element @t45 @t158)) % 5.03/5.27 (define @t162 () (tptp.element @t11 @t158)) % 5.03/5.27 (define @t163 () (tptp.top_str @t1)) % 5.03/5.27 (define @t164 () (tptp.ordered_pair @t131 @t115)) % 5.03/5.27 (define @t165 () (tptp.connected @t1)) % 5.03/5.27 (define @t166 () (tptp.element @t115 @t3)) % 5.03/5.27 (define @t167 () (tptp.latt_set_smaller @t1 @t11 @t45)) % 5.03/5.27 (define @t168 () (and @t59 @t10)) % 5.03/5.27 (define @t169 () (tptp.bottom_of_semilattstr @t1)) % 5.03/5.27 (define @t170 () (tptp.ordered_pair @t11 @t45)) % 5.03/5.27 (define @t171 () (tptp.interior @t1 @t45)) % 5.03/5.27 (define @t172 () (tptp.point_neighbourhood @t45 @t1 @t11)) % 5.03/5.27 (define @t173 () (tptp.topological_space @t1)) % 5.03/5.27 (define @t174 () (and @t59 @t173 @t163)) % 5.03/5.27 (define @t175 () (tptp.in @t131 @t115)) % 5.03/5.27 (define @t176 () (@list @t1 @t11 @t45 @t115)) % 5.03/5.27 (define @t177 () (tptp.relation_dom @t11)) % 5.03/5.27 (define @t178 () (tptp.relation_rng @t11)) % 5.03/5.27 (define @t179 () (tptp.in (tptp.ordered_pair @t11 @t115) @t1)) % 5.03/5.27 (define @t180 () (tptp.in @t170 @t1)) % 5.03/5.27 (define @t181 () (@list @t11 @t45 @t115)) % 5.03/5.27 (define @t182 () (= @t45 tptp.empty_set)) % 5.03/5.27 (define @t183 () (= @t1 tptp.empty_set)) % 5.03/5.27 (define @t184 () (= @t11 tptp.empty_set)) % 5.03/5.27 (define @t185 () (tptp.relation_dom_as_subset @t1 @t11 @t45)) % 5.03/5.27 (define @t186 () (tptp.relation_of2_as_subset @t45 @t1 @t11)) % 5.03/5.27 (define @t187 () (tptp.element @t115 @t32)) % 5.03/5.27 (define @t188 () (tptp.the_carrier @t11)) % 5.03/5.27 (define @t189 () (tptp.boole_lattice @t1)) % 5.03/5.27 (define @t190 () (tptp.latt_str @t11)) % 5.03/5.27 (define @t191 () (tptp.join @t1 @t11 @t45)) % 5.03/5.27 (define @t192 () (and @t59 @t102)) % 5.03/5.27 (define @t193 () (= @t11 @t45)) % 5.03/5.27 (define @t194 () (= @t1 @t118)) % 5.03/5.27 (define @t195 () (exists @t138 (= @t1 @t170))) % 5.03/5.27 (define @t196 () (tptp.singleton @t1)) % 5.03/5.27 (define @t197 () (tptp.succ @t1)) % 5.03/5.27 (define @t198 () (tptp.the_topology @t1)) % 5.03/5.27 (define @t199 () (tptp.in @t11 @t198)) % 5.03/5.27 (define @t200 () (tptp.union_of_subsets @t3 @t11)) % 5.03/5.27 (define @t201 () (tptp.powerset @t158)) % 5.03/5.27 (define @t202 () (tptp.element @t11 @t201)) % 5.03/5.27 (define @t203 () (tptp.in @t45 @t11)) % 5.03/5.27 (define @t204 () (tptp.is_reflexive_in @t1 @t11)) % 5.03/5.27 (define @t205 () (= @t11 (tptp.set_meet @t1))) % 5.03/5.27 (define @t206 () (tptp.in @t45 @t115)) % 5.03/5.27 (define @t207 () (tptp.in @t115 @t1)) % 5.03/5.27 (define @t208 () (not @t183)) % 5.03/5.27 (define @t209 () (tptp.empty @t3)) % 5.03/5.27 (define @t210 () (tptp.subset_complement @t3 @t11)) % 5.03/5.27 (define @t211 () (tptp.interior @t1 @t11)) % 5.03/5.27 (define @t212 () (tptp.open_subset @t45 @t1)) % 5.03/5.27 (define @t213 () (tptp.open_subsets @t11 @t1)) % 5.03/5.27 (define @t214 () (= @t115 @t11)) % 5.03/5.27 (define @t215 () (tptp.subset @t45 @t115)) % 5.03/5.27 (define @t216 () (tptp.relation_field @t11)) % 5.03/5.27 (define @t217 () (tptp.inclusion_relation @t1)) % 5.03/5.27 (define @t218 () (tptp.join_of_latt_set @t1 @t11)) % 5.03/5.27 (define @t219 () (and @t59 @t61 (tptp.complete_latt_str @t1) @t10)) % 5.03/5.27 (define @t220 () (tptp.meet_of_latt_set @t1 @t11)) % 5.03/5.27 (define @t221 () (tptp.set_meet @t11)) % 5.03/5.27 (define @t222 () (not @t184)) % 5.03/5.27 (define @t223 () (tptp.k2_lattice3 @t1)) % 5.03/5.27 (define @t224 () (tptp.poset_of_lattice @t1)) % 5.03/5.27 (define @t225 () (and @t59 @t61 @t10)) % 5.03/5.27 (define @t226 () (= @t11 @t115)) % 5.03/5.27 (define @t227 () (tptp.empty_carrier_subset @t1)) % 5.03/5.27 (define @t228 () (tptp.in @t118 @t1)) % 5.03/5.27 (define @t229 () (forall @t90 (=> @t161 (=> @t203 (tptp.closed_subset @t45 @t1))))) % 5.03/5.27 (define @t230 () (tptp.closed_subsets @t11 @t1)) % 5.03/5.27 (define @t231 () (tptp.well_founded_relation @t1)) % 5.03/5.27 (define @t232 () (@var "F" $$unsorted)) % 5.03/5.27 (define @t233 () (tptp.ordered_pair @t131 @t232)) % 5.03/5.27 (define @t234 () (tptp.in @t232 @t11)) % 5.03/5.27 (define @t235 () (@list @t131 @t232)) % 5.03/5.27 (define @t236 () (tptp.subset @t45 @t11)) % 5.03/5.27 (define @t237 () (tptp.element @t45 @t201)) % 5.03/5.27 (define @t238 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 5.03/5.27 (define @t239 () (tptp.compact_top_space @t1)) % 5.03/5.27 (define @t240 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 5.03/5.27 (define @t241 () (tptp.below @t1 @t11 @t45)) % 5.03/5.27 (define @t242 () (not @t203)) % 5.03/5.27 (define @t243 () (not @t193)) % 5.03/5.27 (define @t244 () (tptp.in @t11 @t45)) % 5.03/5.27 (define @t245 () (tptp.cast_as_carrier_subset @t1)) % 5.03/5.27 (define @t246 () (forall @t90 (=> @t117 @t203))) % 5.03/5.27 (define @t247 () (not @t182)) % 5.03/5.27 (define @t248 () (tptp.is_well_founded_in @t1 @t11)) % 5.03/5.27 (define @t249 () (tptp.apply @t1 @t11)) % 5.03/5.27 (define @t250 () (= @t45 @t249)) % 5.03/5.27 (define @t251 () (tptp.in @t11 @t140)) % 5.03/5.27 (define @t252 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 5.03/5.27 (define @t253 () (tptp.the_carrier @t224)) % 5.03/5.27 (define @t254 () (tptp.element @t11 @t253)) % 5.03/5.27 (define @t255 () (tptp.in (tptp.ordered_pair @t115 @t45) @t1)) % 5.03/5.27 (define @t256 () (tptp.is_antisymmetric_in @t1 @t11)) % 5.03/5.27 (define @t257 () (tptp.cast_to_subset @t1)) % 5.03/5.27 (define @t258 () (tptp.union @t1)) % 5.03/5.27 (define @t259 () (tptp.well_ordering @t1)) % 5.03/5.27 (define @t260 () (tptp.relation_rng @t45)) % 5.03/5.27 (define @t261 () (tptp.relation_dom @t45)) % 5.03/5.27 (define @t262 () (= @t261 @t1)) % 5.03/5.27 (define @t263 () (tptp.equipotent @t1 @t11)) % 5.03/5.27 (define @t264 () (tptp.set_difference @t1 @t11)) % 5.03/5.27 (define @t265 () (and @t152 (= @t45 @t151))) % 5.03/5.27 (define @t266 () (tptp.relation_rng @t1)) % 5.03/5.27 (define @t267 () (= @t11 @t266)) % 5.03/5.27 (define @t268 () (tptp.transitive_relstr @t1)) % 5.03/5.27 (define @t269 () (tptp.being_limit_ordinal @t1)) % 5.03/5.27 (define @t270 () (tptp.open_subset @t11 @t1)) % 5.03/5.27 (define @t271 () (tptp.subset_complement @t1 @t11)) % 5.03/5.27 (define @t272 () (tptp.ordered_pair @t1 @t11)) % 5.03/5.27 (define @t273 () (tptp.is_connected_in @t1 @t11)) % 5.03/5.27 (define @t274 () (tptp.is_transitive_in @t1 @t11)) % 5.03/5.27 (define @t275 () (tptp.antisymmetric_relstr @t1)) % 5.03/5.27 (define @t276 () (tptp.subset_difference @t3 @t245 @t11)) % 5.03/5.27 (define @t277 () (tptp.closed_subset @t11 @t1)) % 5.03/5.27 (define @t278 () (tptp.cartesian_product2 @t11 @t11)) % 5.03/5.27 (define @t279 () (tptp.relation_restriction @t1 @t11)) % 5.03/5.27 (define @t280 () (tptp.relation_inverse @t1)) % 5.03/5.27 (define @t281 () (tptp.apply @t45 @t131)) % 5.03/5.27 (define @t282 () (tptp.apply @t45 @t115)) % 5.03/5.27 (define @t283 () (tptp.relation_isomorphism @t1 @t11 @t45)) % 5.03/5.27 (define @t284 () (and @t69 @t47)) % 5.03/5.27 (define @t285 () (tptp.disjoint @t1 @t11)) % 5.03/5.27 (define @t286 () (tptp.relation_of_lattice @t1)) % 5.03/5.27 (define @t287 () (tptp.related @t1 @t45 @t115)) % 5.03/5.27 (define @t288 () (@list @t232)) % 5.03/5.27 (define @t289 () (tptp.relation_composition @t1 @t11)) % 5.03/5.27 (define @t290 () (@list @t45 @t115 @t131)) % 5.03/5.27 (define @t291 () (tptp.complements_of_subsets @t1 @t11)) % 5.03/5.27 (define @t292 () (tptp.powerset @t32)) % 5.03/5.27 (define @t293 () (tptp.element @t11 @t292)) % 5.03/5.27 (define @t294 () (not @t126)) % 5.03/5.27 (define @t295 () (tptp.function_inverse @t1)) % 5.03/5.27 (define @t296 () (tptp.related @t1 @t11 @t45)) % 5.03/5.27 (define @t297 () (tptp.rel_str_of @t1 @t11)) % 5.03/5.27 (define @t298 () (tptp.strict_rel_str @t297)) % 5.03/5.27 (define @t299 () (tptp.latt_str_of @t1 @t11 @t45)) % 5.03/5.27 (define @t300 () (tptp.strict_latt_str @t299)) % 5.03/5.27 (define @t301 () (tptp.cartesian_product2 @t1 @t1)) % 5.03/5.27 (define @t302 () (tptp.relation_of2 @t45 @t301 @t1)) % 5.03/5.27 (define @t303 () (tptp.quasi_total @t45 @t301 @t1)) % 5.03/5.27 (define @t304 () (tptp.relation_of2 @t11 @t301 @t1)) % 5.03/5.27 (define @t305 () (tptp.quasi_total @t11 @t301 @t1)) % 5.03/5.27 (define @t306 () (and @t86 @t305 @t304 @t47 @t303 @t302)) % 5.03/5.27 (define @t307 () (tptp.k8_filter_1 @t1 @t11)) % 5.03/5.27 (define @t308 () (tptp.k10_filter_1 @t1 @t11 @t45 @t115)) % 5.03/5.27 (define @t309 () (tptp.element @t115 @t188)) % 5.03/5.27 (define @t310 () (tptp.lattice @t11)) % 5.03/5.27 (define @t311 () (not (tptp.empty_carrier @t11))) % 5.03/5.27 (define @t312 () (and @t59 @t61 @t10 @t311 @t310 @t190 @t100 @t309)) % 5.03/5.27 (define @t313 () (tptp.ordered_pair_as_product_element @t1 @t11 @t45 @t115)) % 5.03/5.27 (define @t314 () (tptp.element @t45 @t1)) % 5.03/5.27 (define @t315 () (and @t94 @t92 @t314 (tptp.element @t115 @t11))) % 5.03/5.27 (define @t316 () (tptp.strict_latt_str @t189)) % 5.03/5.27 (define @t317 () (and @t163 @t162)) % 5.03/5.27 (define @t318 () (tptp.apply_binary_as_element @t1 @t11 @t45 @t115 @t131 @t232)) % 5.03/5.27 (define @t319 () (tptp.function @t115)) % 5.03/5.27 (define @t320 () (and @t94 @t92 @t319 (tptp.quasi_total @t115 @t70 @t45) (tptp.relation_of2 @t115 @t70 @t45) (tptp.element @t131 @t1) (tptp.element @t232 @t11))) % 5.03/5.27 (define @t321 () (@list @t1 @t11 @t45 @t115 @t131 @t232)) % 5.03/5.27 (define @t322 () (tptp.antisymmetric_relstr @t224)) % 5.03/5.27 (define @t323 () (tptp.transitive_relstr @t224)) % 5.03/5.27 (define @t324 () (tptp.reflexive_relstr @t224)) % 5.03/5.27 (define @t325 () (tptp.strict_rel_str @t224)) % 5.03/5.27 (define @t326 () (tptp.relation @t280)) % 5.03/5.27 (define @t327 () (tptp.relation @t289)) % 5.03/5.27 (define @t328 () (and @t67 @t123)) % 5.03/5.27 (define @t329 () (tptp.powerset @t11)) % 5.03/5.27 (define @t330 () (tptp.relation_rng_as_subset @t1 @t11 @t45)) % 5.03/5.27 (define @t331 () (tptp.union_of_subsets @t1 @t11)) % 5.03/5.27 (define @t332 () (tptp.identity_as_relation_of @t1)) % 5.03/5.27 (define @t333 () (tptp.relation @t121)) % 5.03/5.27 (define @t334 () (tptp.meet_of_subsets @t1 @t11)) % 5.03/5.27 (define @t335 () (tptp.subset_difference @t1 @t11 @t45)) % 5.03/5.27 (define @t336 () (and (tptp.function @t127) (tptp.quasi_total @t127 @t3 @t3) (tptp.relation_of2_as_subset @t127 @t3 @t3))) % 5.03/5.27 (define @t337 () (forall @t6 (=> @t129 @t336))) % 5.03/5.27 (define @t338 () (tptp.relation @t137)) % 5.03/5.27 (define @t339 () (tptp.apply_as_element @t1 @t11 @t45 @t115)) % 5.03/5.27 (define @t340 () (tptp.element @t115 @t1)) % 5.03/5.27 (define @t341 () (and @t94 @t47 @t46 @t50 @t340)) % 5.03/5.27 (define @t342 () (tptp.relation @t148)) % 5.03/5.27 (define @t343 () (and @t59 @t173 @t163 @t101)) % 5.03/5.27 (define @t344 () (tptp.cartesian_product2 @t3 @t3)) % 5.03/5.27 (define @t345 () (tptp.quasi_total @t7 @t344 @t3)) % 5.03/5.27 (define @t346 () (tptp.function @t7)) % 5.03/5.27 (define @t347 () (tptp.quasi_total @t8 @t344 @t3)) % 5.03/5.27 (define @t348 () (tptp.function @t8)) % 5.03/5.27 (define @t349 () (tptp.finite @t105)) % 5.03/5.27 (define @t350 () (tptp.relation_composition @t11 @t1)) % 5.03/5.27 (define @t351 () (and @t30 @t123)) % 5.03/5.27 (define @t352 () (tptp.relation_empty_yielding tptp.empty_set)) % 5.03/5.27 (define @t353 () (tptp.relation tptp.empty_set)) % 5.03/5.27 (define @t354 () (tptp.empty tptp.empty_set)) % 5.03/5.27 (define @t355 () (tptp.relation_empty_yielding @t1)) % 5.03/5.27 (define @t356 () (and @t67 @t355)) % 5.03/5.27 (define @t357 () (not (tptp.empty @t196))) % 5.03/5.27 (define @t358 () (not (tptp.empty @t32))) % 5.03/5.27 (define @t359 () (not (tptp.empty_carrier @t189))) % 5.03/5.27 (define @t360 () (not (tptp.empty @t197))) % 5.03/5.27 (define @t361 () (not @t209)) % 5.03/5.27 (define @t362 () (and @t59 @t129)) % 5.03/5.27 (define @t363 () (forall @t6 (=> @t362 @t361))) % 5.03/5.27 (define @t364 () (tptp.v1_membered @t105)) % 5.03/5.27 (define @t365 () (tptp.v1_membered @t104)) % 5.03/5.27 (define @t366 () (tptp.v2_membered @t105)) % 5.03/5.27 (define @t367 () (tptp.ordinal @t197)) % 5.03/5.27 (define @t368 () (tptp.epsilon_connected @t197)) % 5.03/5.27 (define @t369 () (tptp.epsilon_transitive @t197)) % 5.03/5.27 (define @t370 () (tptp.function @t121)) % 5.03/5.27 (define @t371 () (tptp.v1_partfun1 @t8 @t344 @t3)) % 5.03/5.27 (define @t372 () (tptp.relation @t8)) % 5.03/5.27 (define @t373 () (and @t59 @t57 @t102)) % 5.03/5.27 (define @t374 () (tptp.reflexive_relstr @t1)) % 5.03/5.27 (define @t375 () (and @t173 @t163 @t162)) % 5.03/5.27 (define @t376 () (tptp.v2_membered @t104)) % 5.03/5.27 (define @t377 () (tptp.v3_membered @t105)) % 5.03/5.27 (define @t378 () (tptp.v3_membered @t104)) % 5.03/5.27 (define @t379 () (tptp.v4_membered @t105)) % 5.03/5.27 (define @t380 () (tptp.v4_membered @t104)) % 5.03/5.27 (define @t381 () (tptp.v1_membered @t264)) % 5.03/5.27 (define @t382 () (tptp.v2_membered @t264)) % 5.03/5.27 (define @t383 () (tptp.v3_membered @t264)) % 5.03/5.27 (define @t384 () (tptp.transitive @t11)) % 5.03/5.27 (define @t385 () (tptp.antisymmetric @t11)) % 5.03/5.27 (define @t386 () (tptp.open_subset @t210 @t1)) % 5.03/5.27 (define @t387 () (tptp.v4_membered @t264)) % 5.03/5.27 (define @t388 () (tptp.v1_partfun1 @t7 @t344 @t3)) % 5.03/5.27 (define @t389 () (tptp.relation @t7)) % 5.03/5.27 (define @t390 () (tptp.closed_subset @t210 @t1)) % 5.03/5.27 (define @t391 () (and @t123 @t86)) % 5.03/5.27 (define @t392 () (and @t173 @t163)) % 5.03/5.27 (define @t393 () (tptp.empty @t140)) % 5.03/5.27 (define @t394 () (and @t94 @t67)) % 5.03/5.27 (define @t395 () (tptp.empty @t266)) % 5.03/5.27 (define @t396 () (tptp.open_subset @t211 @t1)) % 5.03/5.27 (define @t397 () (tptp.element @t45 @t188)) % 5.03/5.27 (define @t398 () (and @t311 @t310 @t190)) % 5.03/5.27 (define @t399 () (= @t1 @t115)) % 5.03/5.27 (define @t400 () (exists @t143 (and @t309 @t399 (tptp.latt_set_smaller @t11 @t115 @t45)))) % 5.03/5.27 (define @t401 () (= @t1 @t45)) % 5.03/5.27 (define @t402 () (and @t401 @t226)) % 5.03/5.27 (define @t403 () (= @t45 @t232)) % 5.03/5.27 (define @t404 () (@list @t115 @t131 @t232)) % 5.03/5.27 (define @t405 () (tptp.in @t11 @t149)) % 5.03/5.27 (define @t406 () (tptp.disjoint @t196 @t11)) % 5.03/5.27 (define @t407 () (not @t14)) % 5.03/5.27 (define @t408 () (tptp.well_ordering @t11)) % 5.03/5.27 (define @t409 () (tptp.in (tptp.ordered_pair @t45 @t11) @t1)) % 5.03/5.27 (define @t410 () (tptp.singleton @t45)) % 5.03/5.27 (define @t411 () (not @t180)) % 5.03/5.27 (define @t412 () (tptp.singleton @t11)) % 5.03/5.27 (define @t413 () (tptp.union @t11)) % 5.03/5.27 (define @t414 () (tptp.in @t1 @t45)) % 5.03/5.27 (define @t415 () (tptp.element @t1 @t329)) % 5.03/5.27 (define @t416 () (tptp.relation_dom_restriction @t45 @t1)) % 5.03/5.27 (define @t417 () (tptp.in @t11 (tptp.relation_dom @t416))) % 5.03/5.27 (define @t418 () (tptp.set_union2 @t11 @t45)) % 5.03/5.27 (define @t419 () (tptp.set_intersection2 @t11 @t45)) % 5.03/5.27 (define @t420 () (forall @t6 (= @t332 @t121))) % 5.03/5.27 (define @t421 () (tptp.set_difference @t11 @t45)) % 5.03/5.27 (define @t422 () (=> @t341 (= @t339 @t282))) % 5.03/5.27 (define @t423 () (forall @t176 @t422)) % 5.03/5.27 (define @t424 () (forall @t51 (= @t186 @t50))) % 5.03/5.27 (define @t425 () (tptp.below_refl @t1 @t11 @t45)) % 5.03/5.27 (define @t426 () (and @t59 @t55 @t53 @t52 @t10 @t101 @t100)) % 5.03/5.27 (define @t427 () (and @t59 @t374 @t5 @t101 @t100)) % 5.03/5.27 (define @t428 () (@var "K" $$unsorted)) % 5.03/5.27 (define @t429 () (@var "J" $$unsorted)) % 5.03/5.27 (define @t430 () (tptp.in @t428 @t429)) % 5.03/5.27 (define @t431 () (@list @t428)) % 5.03/5.27 (define @t432 () (@list @t429)) % 5.03/5.27 (define @t433 () (= @t115 @t131)) % 5.03/5.27 (define @t434 () (@var "I" $$unsorted)) % 5.03/5.27 (define @t435 () (@var "H" $$unsorted)) % 5.03/5.27 (define @t436 () (tptp.in @t434 @t435)) % 5.03/5.27 (define @t437 () (@list @t434)) % 5.03/5.27 (define @t438 () (@list @t435)) % 5.03/5.27 (define @t439 () (exists @t438 (and (= @t45 @t435) (tptp.in @t131 @t435) (forall @t437 (=> @t436 (tptp.in (tptp.ordered_pair @t131 @t434) @t11)))))) % 5.03/5.27 (define @t440 () (@var "G" $$unsorted)) % 5.03/5.27 (define @t441 () (tptp.in @t440 @t232)) % 5.03/5.27 (define @t442 () (@list @t440)) % 5.03/5.27 (define @t443 () (exists @t288 (and @t403 (tptp.in @t115 @t232) (forall @t442 (=> @t441 (tptp.in (tptp.ordered_pair @t115 @t440) @t11)))))) % 5.03/5.27 (define @t444 () (forall @t290 (=> (and @t117 @t443 @t117 @t439) @t433))) % 5.03/5.27 (define @t445 () (and @t94 @t123)) % 5.03/5.27 (define @t446 () (= @t115 @t412)) % 5.03/5.27 (define @t447 () (= @t45 @t412)) % 5.03/5.27 (define @t448 () (forall @t181 (=> (and @t12 @t447 @t12 @t446) @t116))) % 5.03/5.27 (define @t449 () (tptp.subset_complement @t3 @t435)) % 5.03/5.27 (define @t450 () (= @t435 @t115)) % 5.03/5.27 (define @t451 () (tptp.element @t435 @t158)) % 5.03/5.27 (define @t452 () (forall @t438 (=> @t451 (=> @t450 (= @t131 @t449))))) % 5.03/5.27 (define @t453 () (tptp.complements_of_subsets @t3 @t11)) % 5.03/5.27 (define @t454 () (tptp.in @t115 @t453)) % 5.03/5.27 (define @t455 () (tptp.element @t440 @t158)) % 5.03/5.27 (define @t456 () (forall @t442 (=> @t455 (=> (= @t440 @t45) (= @t131 (tptp.subset_complement @t3 @t440)))))) % 5.03/5.27 (define @t457 () (tptp.in @t45 @t453)) % 5.03/5.27 (define @t458 () (tptp.element @t232 @t158)) % 5.03/5.27 (define @t459 () (forall @t288 (=> @t458 (=> (= @t232 @t45) (= @t115 (tptp.subset_complement @t3 @t232)))))) % 5.03/5.27 (define @t460 () (forall @t290 (=> (and @t457 @t459 @t457 @t456) @t433))) % 5.03/5.27 (define @t461 () (and @t129 @t202)) % 5.03/5.27 (define @t462 () (forall @t290 (=> (and @t203 @t459 @t203 @t456) @t433))) % 5.03/5.27 (define @t463 () (tptp.ordinal @t45)) % 5.03/5.27 (define @t464 () (@var "S" $$unsorted)) % 5.03/5.27 (define @t465 () (@var "T" $$unsorted)) % 5.03/5.27 (define @t466 () (@var "R" $$unsorted)) % 5.03/5.27 (define @t467 () (tptp.powerset (tptp.powerset @t115))) % 5.03/5.27 (define @t468 () (@list @t466)) % 5.03/5.27 (define @t469 () (tptp.in @t115 tptp.omega)) % 5.03/5.27 (define @t470 () (tptp.ordinal @t115)) % 5.03/5.27 (define @t471 () (@var "P" $$unsorted)) % 5.03/5.27 (define @t472 () (@var "Q" $$unsorted)) % 5.03/5.27 (define @t473 () (@var "O" $$unsorted)) % 5.03/5.27 (define @t474 () (@list @t472)) % 5.03/5.27 (define @t475 () (@list @t471)) % 5.03/5.27 (define @t476 () (@list @t473)) % 5.03/5.27 (define @t477 () (@var "M" $$unsorted)) % 5.03/5.27 (define @t478 () (@var "N" $$unsorted)) % 5.03/5.27 (define @t479 () (@var "L" $$unsorted)) % 5.03/5.27 (define @t480 () (@list @t478)) % 5.03/5.27 (define @t481 () (tptp.in @t477 @t479)) % 5.03/5.27 (define @t482 () (@list @t477)) % 5.03/5.27 (define @t483 () (@list @t479)) % 5.03/5.27 (define @t484 () (tptp.succ @t115)) % 5.03/5.27 (define @t485 () (=> @t469 (forall @t141 (=> (tptp.element @t131 @t467) (not (and (not (= @t131 tptp.empty_set)) (forall @t288 (not (and (tptp.in @t232 @t131) (forall @t442 (=> (and (tptp.in @t440 @t131) (tptp.subset @t232 @t440)) (= @t440 @t232)))))))))))) % 5.03/5.27 (define @t486 () (tptp.subset @t11 @t45)) % 5.03/5.27 (define @t487 () (tptp.powerset tptp.empty_set)) % 5.03/5.27 (define @t488 () (tptp.apply @t45 @t232)) % 5.03/5.27 (define @t489 () (tptp.in @t232 @t1)) % 5.03/5.27 (define @t490 () (tptp.relation @t115)) % 5.03/5.27 (define @t491 () (and @t123 @t69 @t47)) % 5.03/5.27 (define @t492 () (forall @t431 (=> @t430 (tptp.in (tptp.ordered_pair @t115 @t428) @t11)))) % 5.03/5.27 (define @t493 () (tptp.in @t115 @t429)) % 5.03/5.27 (define @t494 () (= @t232 @t131)) % 5.03/5.27 (define @t495 () (tptp.cartesian_product2 @t1 @t45)) % 5.03/5.27 (define @t496 () (= @t131 @t232)) % 5.03/5.27 (define @t497 () (tptp.ordered_pair @t428 @t479)) % 5.03/5.27 (define @t498 () (@list @t428 @t479)) % 5.03/5.27 (define @t499 () (= @t115 @t232)) % 5.03/5.27 (define @t500 () (tptp.in @t429 @t434)) % 5.03/5.27 (define @t501 () (tptp.in @t440 @t1)) % 5.03/5.27 (define @t502 () (tptp.ordered_pair @t440 @t435)) % 5.03/5.27 (define @t503 () (= @t502 @t131)) % 5.03/5.27 (define @t504 () (@list @t440 @t435)) % 5.03/5.27 (define @t505 () (tptp.ordered_pair @t429 @t428)) % 5.03/5.27 (define @t506 () (@list @t429 @t428)) % 5.03/5.27 (define @t507 () (= @t131 @t115)) % 5.03/5.27 (define @t508 () (tptp.in @t435 @t1)) % 5.03/5.27 (define @t509 () (= @t45 @t131)) % 5.03/5.27 (define @t510 () (tptp.ordered_pair @t232 @t440)) % 5.03/5.27 (define @t511 () (@list @t232 @t440)) % 5.03/5.27 (define @t512 () (= @t115 @t45)) % 5.03/5.27 (define @t513 () (not (and (not (= @t232 tptp.empty_set)) (forall @t442 (not (and @t441 (forall @t438 (=> (and (tptp.in @t435 @t232) (tptp.subset @t440 @t435)) (= @t435 @t440))))))))) % 5.03/5.27 (define @t514 () (tptp.ordinal @t131)) % 5.03/5.27 (define @t515 () (tptp.subset @t11 @t115)) % 5.03/5.27 (define @t516 () (tptp.in @t131 @t158)) % 5.03/5.27 (define @t517 () (tptp.in (tptp.set_difference @t245 @t115) @t11)) % 5.03/5.27 (define @t518 () (and @t173 @t163 @t202)) % 5.03/5.27 (define @t519 () (tptp.in @t440 @t11)) % 5.03/5.27 (define @t520 () (and @t40 (tptp.element @t11 (tptp.powerset (tptp.powerset @t197))))) % 5.03/5.27 (define @t521 () (= @t115 @t449)) % 5.03/5.27 (define @t522 () (forall @t438 (=> @t451 (=> (= @t435 @t131) @t521)))) % 5.03/5.27 (define @t523 () (tptp.in @t131 @t453)) % 5.03/5.27 (define @t524 () (forall @t476 (=> (tptp.element @t473 @t158) (=> (= @t473 @t477) (= @t478 (tptp.subset_complement @t3 @t473)))))) % 5.03/5.27 (define @t525 () (= (tptp.ordered_pair @t477 @t478) @t131)) % 5.03/5.27 (define @t526 () (@list @t477 @t478)) % 5.03/5.27 (define @t527 () (tptp.cartesian_product2 @t453 @t45)) % 5.03/5.27 (define @t528 () (forall @t483 (=> (tptp.element @t479 @t158) (=> (= @t479 @t429) (= @t428 (tptp.subset_complement @t3 @t479)))))) % 5.03/5.27 (define @t529 () (= @t505 @t232)) % 5.03/5.27 (define @t530 () (tptp.subset_complement @t3 @t434)) % 5.03/5.27 (define @t531 () (tptp.element @t434 @t158)) % 5.03/5.27 (define @t532 () (forall @t437 (=> @t531 (=> (= @t434 @t440) (= @t435 @t530))))) % 5.03/5.27 (define @t533 () (tptp.cartesian_product2 @t11 @t45)) % 5.03/5.27 (define @t534 () (tptp.apply @t45 @t440)) % 5.03/5.27 (define @t535 () (tptp.in (tptp.relation_image @t45 @t131) @t11)) % 5.03/5.27 (define @t536 () (tptp.powerset @t261)) % 5.03/5.27 (define @t537 () (and @t293 @t69 @t47)) % 5.03/5.27 (define @t538 () (tptp.succ @t11)) % 5.03/5.27 (define @t539 () (= @t510 @t131)) % 5.03/5.27 (define @t540 () (exists @t141 (and @t159 @t507 (tptp.closed_subset @t131 @t1) @t515))) % 5.03/5.27 (define @t541 () (tptp.in @t115 @t158)) % 5.03/5.27 (define @t542 () (forall @t438 (=> @t451 (=> (= @t435 @t232) (= @t440 @t449))))) % 5.03/5.27 (define @t543 () (tptp.apply @t11 @t45)) % 5.03/5.27 (define @t544 () (= @t177 @t1)) % 5.03/5.27 (define @t545 () (exists @t20 (and @t123 @t86 @t544 (forall @t90 (=> @t117 (= @t543 @t410)))))) % 5.03/5.27 (define @t546 () (forall @t437 (=> @t531 (=> (= @t434 @t115) (= @t282 @t530))))) % 5.03/5.27 (define @t547 () (forall @t143 (not (forall @t438 (=> @t451 (=> (= @t435 @t45) @t521)))))) % 5.03/5.27 (define @t548 () (tptp.in @t1 tptp.omega)) % 5.03/5.27 (define @t549 () (tptp.element @t115 @t158)) % 5.03/5.27 (define @t550 () (= @t291 tptp.empty_set)) % 5.03/5.27 (define @t551 () (not (and @t222 @t550))) % 5.03/5.27 (define @t552 () (tptp.relation_rng @t148)) % 5.03/5.27 (define @t553 () (tptp.meet_of_subsets @t1 @t291)) % 5.03/5.27 (define @t554 () (tptp.union_of_subsets @t1 @t291)) % 5.03/5.27 (define @t555 () (forall @t90 (not (and @t236 (not (tptp.are_equipotent @t45 @t11)) @t242)))) % 5.03/5.27 (define @t556 () (tptp.powerset @t45)) % 5.03/5.27 (define @t557 () (forall @t120 (=> (and @t203 (tptp.subset @t115 @t45)) @t134))) % 5.03/5.27 (define @t558 () (tptp.meet_of_subsets @t3 @t11)) % 5.03/5.27 (define @t559 () (tptp.relation_dom_restriction @t45 @t11)) % 5.03/5.27 (define @t560 () (tptp.relation_image @t11 @t1)) % 5.03/5.27 (define @t561 () (tptp.relation_inverse_image @t11 @t1)) % 5.03/5.27 (define @t562 () (tptp.relation_image @t11 @t561)) % 5.03/5.27 (define @t563 () (tptp.set_intersection2 @t177 @t1)) % 5.03/5.27 (define @t564 () (tptp.subset @t1 @t178)) % 5.03/5.27 (define @t565 () (tptp.relation_of2_as_subset @t115 @t45 @t11)) % 5.03/5.27 (define @t566 () (tptp.relation_rng @t115)) % 5.03/5.27 (define @t567 () (tptp.relation_of2_as_subset @t115 @t45 @t1)) % 5.03/5.27 (define @t568 () (tptp.relation_rng @t289)) % 5.03/5.27 (define @t569 () (tptp.relation_inverse_image @t45 @t11)) % 5.03/5.27 (define @t570 () (tptp.relation_restriction @t45 @t11)) % 5.03/5.27 (define @t571 () (tptp.relation_restriction @t11 @t1)) % 5.03/5.27 (define @t572 () (tptp.relation_dom_restriction @t11 @t1)) % 5.03/5.27 (define @t573 () (tptp.relation_field @t45)) % 5.03/5.27 (define @t574 () (tptp.in @t1 @t573)) % 5.03/5.27 (define @t575 () (tptp.subset @t1 @t45)) % 5.03/5.27 (define @t576 () (tptp.the_carrier @t189)) % 5.03/5.27 (define @t577 () (tptp.element @t45 @t576)) % 5.03/5.27 (define @t578 () (tptp.element @t11 @t576)) % 5.03/5.27 (define @t579 () (tptp.element @t1 @t11)) % 5.03/5.27 (define @t580 () (tptp.in @t1 @t261)) % 5.03/5.27 (define @t581 () (tptp.in @t272 @t45)) % 5.03/5.27 (define @t582 () (tptp.relation_field @t571)) % 5.03/5.27 (define @t583 () (tptp.apply @t45 @t1)) % 5.03/5.27 (define @t584 () (tptp.relation_composition @t45 @t11)) % 5.03/5.27 (define @t585 () (tptp.in @t1 (tptp.relation_dom @t584))) % 5.03/5.27 (define @t586 () (tptp.apply @t115 @t45)) % 5.03/5.27 (define @t587 () (and @t319 (tptp.quasi_total @t115 @t1 @t11) (tptp.relation_of2_as_subset @t115 @t1 @t11))) % 5.03/5.27 (define @t588 () (tptp.connected @t11)) % 5.03/5.27 (define @t589 () (tptp.well_ordering @t571)) % 5.03/5.27 (define @t590 () (= @t582 @t1)) % 5.03/5.27 (define @t591 () (tptp.well_orders @t11 @t1)) % 5.03/5.27 (define @t592 () (tptp.cast_to_el_of_LattPOSet @t11 @t45)) % 5.03/5.27 (define @t593 () (tptp.poset_of_lattice @t11)) % 5.03/5.27 (define @t594 () (tptp.cast_to_el_of_lattice @t11 @t45)) % 5.03/5.27 (define @t595 () (tptp.element @t45 (tptp.the_carrier @t593))) % 5.03/5.27 (define @t596 () (or @t91 @t14)) % 5.03/5.27 (define @t597 () (forall @t15 (=> @t579 @t596))) % 5.03/5.27 (define @t598 () (tptp.well_founded_relation @t11)) % 5.03/5.27 (define @t599 () (tptp.apply @t121 @t11)) % 5.03/5.27 (define @t600 () (=> @t12 (= @t599 @t11))) % 5.03/5.27 (define @t601 () (forall @t15 @t600)) % 5.03/5.27 (define @t602 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 5.03/5.27 (define @t603 () (and @t117 @t203)) % 5.03/5.27 (define @t604 () (not @t285)) % 5.03/5.27 (define @t605 () (= @t1 @t538)) % 5.03/5.27 (define @t606 () (tptp.subset_complement @t1 @t45)) % 5.03/5.27 (define @t607 () (tptp.disjoint @t11 @t45)) % 5.03/5.27 (define @t608 () (tptp.relation_dom @t289)) % 5.03/5.27 (define @t609 () (and (tptp.closed_subset @t115 @t1) @t515)) % 5.03/5.27 (define @t610 () (tptp.element @t11 @t556)) % 5.03/5.27 (define @t611 () (tptp.in @t45 @t105)) % 5.03/5.27 (define @t612 () (= @t160 @t11)) % 5.03/5.27 (define @t613 () (and (tptp.in @t45 @t266) (= @t115 @t543))) % 5.03/5.27 (define @t614 () (tptp.function_inverse @t11)) % 5.03/5.27 (define @t615 () (= @t266 tptp.empty_set)) % 5.03/5.27 (define @t616 () (= @t140 tptp.empty_set)) % 5.03/5.27 (define @t617 () (= (tptp.apply @t416 @t11) (tptp.apply @t45 @t11))) % 5.03/5.27 (define @t618 () (= @t196 (tptp.unordered_pair @t11 @t45))) % 5.03/5.27 (define @t619 () (tptp.apply_as_element @t3 @t3 @t127 @t11)) % 5.03/5.27 (define @t620 () (=> @t101 (= @t619 @t11))) % 5.03/5.27 (define @t621 () (forall @t20 @t620)) % 5.03/5.27 (define @t622 () (=> @t362 @t621)) % 5.03/5.27 (define @t623 () (forall @t6 @t622)) % 5.03/5.27 (define @t624 () (not @t623)) % 5.03/5.27 (define @t625 () (@var "BOUND_VARIABLE_21398" $$unsorted)) % 5.03/5.27 (define @t626 () (= @t625 (tptp.apply_as_element @t3 @t3 @t127 @t625))) % 5.03/5.27 (define @t627 () (not (tptp.element @t625 @t3))) % 5.03/5.27 (define @t628 () (not @t129)) % 5.03/5.27 (define @t629 () (or @t58 @t628 @t627 @t626)) % 5.03/5.27 (define @t630 () (or @t627 @t626)) % 5.03/5.27 (define @t631 () (or @t58 @t628 @t630)) % 5.03/5.27 (define @t632 () (@list @t1 @t625)) % 5.03/5.27 (define @t633 () (forall @t632 @t631)) % 5.03/5.27 (define @t634 () (@list @t625)) % 5.03/5.27 (define @t635 () (forall @t634 @t631)) % 5.03/5.27 (define @t636 () (forall @t634 @t630)) % 5.03/5.27 (define @t637 () (or @t58 @t628 @t636)) % 5.03/5.27 (define @t638 () (= @t11 @t619)) % 5.03/5.27 (define @t639 () (forall @t20 (or (not @t101) @t638))) % 5.03/5.27 (define @t640 () (or @t58 @t628 @t639)) % 5.03/5.27 (define @t641 () (or @t58 @t628)) % 5.03/5.27 (define @t642 () (not @t362)) % 5.03/5.27 (define @t643 () (forall @t632 @t629)) % 5.03/5.27 (define @t644 () (@quantifiers_skolemize @t643 1)) % 5.03/5.27 (define @t645 () (@quantifiers_skolemize @t643 0)) % 5.03/5.27 (define @t646 () (tptp.identity_on_carrier @t645)) % 5.03/5.27 (define @t647 () (tptp.the_carrier @t645)) % 5.03/5.27 (define @t648 () (tptp.apply_as_element @t647 @t647 @t646 @t644)) % 5.03/5.27 (define @t649 () (= @t644 @t648)) % 5.03/5.27 (define @t650 () (tptp.element @t644 @t647)) % 5.03/5.27 (define @t651 () (not @t650)) % 5.03/5.27 (define @t652 () (tptp.one_sorted_str @t645)) % 5.03/5.27 (define @t653 () (not @t652)) % 5.03/5.27 (define @t654 () (tptp.empty_carrier @t645)) % 5.03/5.27 (define @t655 () (or @t654 @t653 @t651 @t649)) % 5.03/5.27 (define @t656 () (@list true)) % 5.03/5.27 (define @t657 () (@list @t655)) % 5.03/5.27 (define @t658 () (@list @t645)) % 5.03/5.27 (define @t659 () (tptp.identity_as_relation_of @t647)) % 5.03/5.27 (define @t660 () (= @t646 @t659)) % 5.03/5.27 (define @t661 () (or @t653 @t660)) % 5.03/5.27 (define @t662 () (@list false false)) % 5.03/5.27 (define @t663 () (tptp.identity_relation @t647)) % 5.03/5.27 (define @t664 () (forall @t6 (= @t121 @t332))) % 5.03/5.27 (define @t665 () (= @t663 @t659)) % 5.03/5.27 (define @t666 () (@list @t647)) % 5.03/5.27 (define @t667 () (= @t659 @t663)) % 5.03/5.27 (define @t668 () (@list false)) % 5.03/5.27 (define @t669 () (= @t11 @t599)) % 5.03/5.27 (define @t670 () (not @t579)) % 5.03/5.27 (define @t671 () (tptp.empty @t647)) % 5.03/5.27 (define @t672 () (not @t671)) % 5.03/5.27 (define @t673 () (or @t654 @t653 @t672)) % 5.03/5.27 (define @t674 () (tptp.in @t644 @t647)) % 5.03/5.27 (define @t675 () (or @t651 @t671 @t674)) % 5.03/5.27 (define @t676 () (tptp.apply @t663 @t644)) % 5.03/5.27 (define @t677 () (= @t644 @t676)) % 5.03/5.27 (define @t678 () (not @t674)) % 5.03/5.27 (define @t679 () (or @t678 @t677)) % 5.03/5.27 (define @t680 () (= @t282 @t339)) % 5.03/5.27 (define @t681 () (not @t340)) % 5.03/5.27 (define @t682 () (not @t50)) % 5.03/5.27 (define @t683 () (not @t46)) % 5.03/5.27 (define @t684 () (not @t47)) % 5.03/5.27 (define @t685 () (or @t30 @t684 @t683 @t682 @t681 @t680)) % 5.03/5.27 (define @t686 () (not @t94)) % 5.03/5.27 (define @t687 () (or @t686 @t684 @t683 @t682 @t681)) % 5.03/5.27 (define @t688 () (tptp.apply @t646 @t644)) % 5.03/5.27 (define @t689 () (tptp.relation_of2 @t646 @t647 @t647)) % 5.03/5.27 (define @t690 () (not @t689)) % 5.03/5.27 (define @t691 () (tptp.quasi_total @t646 @t647 @t647)) % 5.03/5.27 (define @t692 () (not @t691)) % 5.03/5.27 (define @t693 () (tptp.function @t646)) % 5.03/5.27 (define @t694 () (not @t693)) % 5.03/5.27 (define @t695 () (or @t671 @t694 @t692 @t690 @t651 (= @t688 @t648))) % 5.03/5.27 (define @t696 () (forall @t176 @t685)) % 5.03/5.27 (define @t697 () (= @t648 @t688)) % 5.03/5.27 (define @t698 () (or @t671 @t694 @t692 @t690 @t651 @t697)) % 5.03/5.27 (define @t699 () (tptp.relation_of2_as_subset @t646 @t647 @t647)) % 5.03/5.27 (define @t700 () (forall @t51 (= @t50 @t186))) % 5.03/5.27 (define @t701 () (= @t689 @t699)) % 5.03/5.27 (define @t702 () (= @t699 @t689)) % 5.03/5.27 (define @t703 () (and @t693 @t691 @t699)) % 5.03/5.27 (define @t704 () (or @t653 @t703)) % 5.03/5.27 (define @t705 () (not @t703)) % 5.03/5.27 (define @t706 () (@list @t703)) % 5.03/5.27 (define @t707 () (and @t660 @t697 @t667 @t677)) % 5.03/5.27 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 5.03/5.27 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 5.03/5.27 (assume @p3 (forall @t15 (=> @t14 @t13))) % 5.03/5.27 (assume @p4 (forall @t15 (=> @t17 (not @t16)))) % 5.03/5.27 (assume @p5 (forall @t6 (=> @t21 (forall @t20 (=> @t19 @t18))))) % 5.03/5.27 (assume @p6 (forall @t6 (=> @t23 (forall @t20 (=> @t19 (and @t18 @t22)))))) % 5.03/5.27 (assume @p7 (forall @t6 (=> @t25 (forall @t20 (=> @t19 (and @t18 @t22 @t24)))))) % 5.03/5.27 (assume @p8 (forall @t6 (=> @t27 (forall @t20 (=> @t19 (and @t18 @t22 @t26 @t24)))))) % 5.03/5.27 (assume @p9 (forall @t6 (=> @t29 (forall @t20 (=> @t19 (and @t18 @t28 @t22 @t26 @t24)))))) % 5.03/5.27 (assume @p10 (forall @t6 (=> @t30 (and @t21 @t23 @t25 @t27 @t29)))) % 5.03/5.27 (assume @p11 (forall @t6 (=> @t21 (forall @t20 (=> @t33 @t31))))) % 5.03/5.27 (assume @p12 (forall @t6 (=> @t23 (forall @t20 (=> @t33 (and @t31 @t34)))))) % 5.03/5.27 (assume @p13 (forall @t6 (=> @t25 (forall @t20 (=> @t33 (and @t31 @t34 @t35)))))) % 5.03/5.27 (assume @p14 (forall @t6 (=> @t27 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36)))))) % 5.03/5.27 (assume @p15 (forall @t6 (=> @t40 (forall @t20 (=> @t19 (and @t39 @t38 @t37)))))) % 5.03/5.27 (assume @p16 (forall @t6 (=> @t30 @t41))) % 5.03/5.27 (assume @p17 (forall @t6 (=> @t43 @t42))) % 5.03/5.27 (assume @p18 (forall @t6 (=> @t30 @t44))) % 5.03/5.27 (assume @p19 (forall @t51 (=> @t50 (=> (and @t47 @t49) @t48)))) % 5.03/5.27 (assume @p20 (forall @t6 (=> @t10 (=> @t62 @t60)))) % 5.03/5.27 (assume @p21 (forall @t6 (=> @t29 @t27))) % 5.03/5.27 (assume @p22 (forall @t6 (=> @t40 @t65))) % 5.03/5.27 (assume @p23 (forall @t6 (=> (and @t67 (tptp.symmetric @t1) @t68) (and @t67 @t66)))) % 5.03/5.27 (assume @p24 (forall @t6 (=> @t30 @t67))) % 5.03/5.27 (assume @p25 (forall @t51 (=> @t71 @t69))) % 5.03/5.27 (assume @p26 (forall @t6 (=> @t29 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36 (tptp.v5_membered @t11))))))) % 5.03/5.27 (assume @p27 (forall @t6 (=> (and @t30 @t40) @t73))) % 5.03/5.27 (assume @p28 (forall @t6 (=> @t41 (forall @t20 (=> @t33 @t74))))) % 5.03/5.27 (assume @p29 (forall @t6 (=> @t42 @t43))) % 5.03/5.27 (assume @p30 (forall @t6 (=> @t77 @t76))) % 5.03/5.27 (assume @p31 (forall @t51 (=> @t50 (=> @t80 @t79)))) % 5.03/5.27 (assume @p32 (forall @t6 (=> @t10 (=> @t60 @t62)))) % 5.03/5.27 (assume @p33 (forall @t6 (=> @t27 @t25))) % 5.03/5.27 (assume @p34 (forall @t6 (=> @t65 @t40))) % 5.03/5.27 (assume @p35 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t73))) % 5.03/5.27 (assume @p36 (forall @t51 (=> @t50 (=> @t79 @t80)))) % 5.03/5.27 (assume @p37 (forall @t6 (=> @t25 @t23))) % 5.03/5.27 (assume @p38 (forall @t6 (=> @t30 @t81))) % 5.03/5.27 (assume @p39 (forall @t15 (=> @t89 (=> (and @t86 @t88 @t87 @t84) (and @t86 @t85 @t84 @t83 @t82))))) % 5.03/5.27 (assume @p40 (forall @t6 (=> @t23 @t21))) % 5.03/5.27 (assume @p41 (forall @t15 (=> @t92 (forall @t90 (=> @t50 (=> @t48 (and @t47 @t49 @t46))))))) % 5.03/5.27 (assume @p42 (forall @t15 (=> @t95 (forall @t90 (=> @t50 (=> @t48 (and @t47 (not @t93) @t49 @t46))))))) % 5.03/5.27 (assume @p43 (forall @t15 (= @t96 (tptp.unordered_pair @t11 @t1)))) % 5.03/5.27 (assume @p44 (forall @t15 (= @t98 @t97))) % 5.03/5.27 (assume @p45 (forall @t51 (=> @t103 (= @t99 (tptp.join_commut @t1 @t45 @t11))))) % 5.03/5.27 (assume @p46 (forall @t15 (= @t105 @t104))) % 5.03/5.27 (assume @p47 (forall @t51 (=> @t108 (= @t106 (tptp.meet_commut @t1 @t45 @t11))))) % 5.03/5.27 (assume @p48 (forall @t51 (=> @t111 (= @t109 (tptp.subset_union2 @t1 @t45 @t11))))) % 5.03/5.27 (assume @p49 (forall @t51 (=> @t111 (= @t112 (tptp.subset_intersection2 @t1 @t45 @t11))))) % 5.03/5.27 (assume @p50 (forall @t15 (=> @t114 (or @t113 (tptp.ordinal_subset @t11 @t1))))) % 5.03/5.27 (assume @p51 (forall @t15 (=> @t123 (= @t122 (forall @t120 (= @t119 (and @t117 @t116))))))) % 5.03/5.27 (assume @p52 (forall @t15 (= @t126 (and @t125 @t124)))) % 5.03/5.27 (assume @p53 @t130) % 5.03/5.27 (assume @p54 (forall @t6 (=> @t67 (forall @t138 (=> @t69 (= (= @t45 @t137) (forall @t136 (= @t135 (and @t134 @t133))))))))) % 5.03/5.27 (assume @p55 (forall @t6 (=> @t146 (forall @t138 (= @t145 (forall @t143 (= @t142 (exists @t141 (and (tptp.in @t131 @t140) @t139 (= @t115 (tptp.apply @t1 @t131))))))))))) % 5.03/5.27 (assume @p56 (forall @t15 (=> @t123 (forall @t90 (=> @t69 (= (= @t45 @t148) (forall @t136 (= @t135 (and @t147 (tptp.in @t132 @t11)))))))))) % 5.03/5.27 (assume @p57 (forall @t6 (=> @t67 (= @t150 (tptp.is_antisymmetric_in @t1 @t149))))) % 5.03/5.27 (assume @p58 (forall @t6 (=> @t146 (forall @t138 (= @t153 (forall @t143 (= @t142 (and @t152 (tptp.in @t151 @t11))))))))) % 5.03/5.27 (assume @p59 (forall @t6 (=> @t157 (= @t156 (exists @t20 (and @t101 @t155)))))) % 5.03/5.27 (assume @p60 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (forall @t90 (=> @t161 (= (= @t45 @t160) (forall @t143 (=> (tptp.in @t115 @t3) (= @t142 (forall @t141 (=> @t159 (not (and (tptp.open_subset @t131 @t1) (tptp.in @t115 @t131) (tptp.disjoint @t11 @t131)))))))))))))))) % 5.03/5.27 (assume @p61 (forall @t6 (=> @t67 (forall @t138 (= @t145 (forall @t143 (= @t142 (exists @t141 (and (tptp.in @t164 @t1) @t139))))))))) % 5.03/5.27 (assume @p62 (forall @t6 (=> @t67 (forall @t138 (= @t153 (forall @t143 (= @t142 (exists @t141 (and @t133 @t139))))))))) % 5.03/5.27 (assume @p63 (forall @t6 (=> @t67 (= @t165 (tptp.is_connected_in @t1 @t149))))) % 5.03/5.27 (assume @p64 (forall @t6 (=> @t168 (forall @t20 (=> @t101 (forall @t90 (= @t167 (forall @t143 (=> @t166 (=> @t142 (tptp.below @t1 @t11 @t115))))))))))) % 5.03/5.27 (assume @p65 (forall @t6 (=> @t157 (=> @t156 (forall @t20 (=> @t101 (= (= @t11 @t169) @t155))))))) % 5.03/5.27 (assume @p66 (forall @t6 (=> @t67 (= @t68 (tptp.is_transitive_in @t1 @t149))))) % 5.03/5.27 (assume @p67 (forall @t6 (=> @t168 (forall @t20 (=> @t101 (forall @t90 (= (tptp.latt_element_smaller @t1 @t11 @t45) (forall @t143 (=> @t166 (=> @t142 (tptp.below @t1 @t115 @t11))))))))))) % 5.03/5.27 (assume @p68 (forall @t6 (=> @t146 (forall @t138 (= (tptp.apply_binary @t1 @t11 @t45) (tptp.apply @t1 @t170)))))) % 5.03/5.27 (assume @p69 (forall @t6 (=> @t174 (forall @t20 (=> @t101 (forall @t90 (=> @t161 (= @t172 (tptp.in @t11 @t171))))))))) % 5.03/5.27 (assume @p70 (forall @t176 (= (= @t115 (tptp.unordered_triple @t1 @t11 @t45)) (forall @t141 (= @t175 (not (and (not (= @t131 @t1)) (not (= @t131 @t11)) (not (= @t131 @t45))))))))) % 5.03/5.27 (assume @p71 (forall @t6 (= @t41 (exists @t20 (and @t123 @t86 (= @t178 @t1) (tptp.in @t177 tptp.omega)))))) % 5.03/5.27 (assume @p72 (forall @t6 (= @t44 (forall @t181 (=> (and @t180 @t179) @t116))))) % 5.03/5.27 (assume @p73 (forall @t51 (=> @t186 (and (=> (=> @t184 @t183) (= @t46 (= @t1 @t185))) (=> @t184 (or @t183 (= @t46 @t182))))))) % 5.03/5.27 (assume @p74 (forall @t15 (=> (and (tptp.strict_latt_str @t11) @t190) (= (= @t11 @t189) (and (= @t188 @t32) (forall @t90 (=> @t110 (forall @t143 (=> @t187 (and (= (tptp.apply_binary (tptp.the_L_join @t11) @t45 @t115) (tptp.subset_union2 @t1 @t45 @t115)) (= (tptp.apply_binary (tptp.the_L_meet @t11) @t45 @t115) (tptp.subset_intersection2 @t1 @t45 @t115)))))))))))) % 5.03/5.27 (assume @p75 (forall @t6 (=> @t192 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t191 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t45))))))))) % 5.03/5.27 (assume @p76 (forall @t6 (=> @t195 (forall @t20 (= (= @t11 (tptp.pair_first @t1)) (forall @t120 (=> @t194 @t193))))))) % 5.03/5.27 (assume @p77 (forall @t6 (= @t197 (tptp.set_union2 @t1 @t196)))) % 5.03/5.27 (assume @p78 (forall @t6 (=> @t163 (= @t173 (and (tptp.in @t3 @t198) (forall @t20 (=> @t202 (=> (tptp.subset @t11 @t198) (tptp.in @t200 @t198)))) (forall @t20 (=> @t162 (forall @t90 (=> @t161 (=> (and @t199 (tptp.in @t45 @t198)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t45) @t198))))))))))) % 5.03/5.27 (assume @p79 (forall @t6 (= @t67 (forall @t20 (not (and @t12 (forall @t120 (not (= @t11 @t118))))))))) % 5.03/5.27 (assume @p80 (forall @t6 (=> @t67 (forall @t20 (= @t204 (forall @t90 (=> @t203 (tptp.in (tptp.ordered_pair @t45 @t45) @t1)))))))) % 5.03/5.27 (assume @p81 (forall @t51 (= @t50 (tptp.subset @t45 @t70)))) % 5.03/5.27 (assume @p82 (forall @t15 (and (=> @t208 (= @t205 (forall @t90 (= @t203 (forall @t143 (=> @t207 @t206)))))) (=> @t183 (= @t205 @t184))))) % 5.03/5.27 (assume @p83 (forall @t6 (=> @t129 (= @t58 @t209)))) % 5.03/5.27 (assume @p84 (forall @t15 (= (= @t11 @t196) (forall @t90 (= @t203 (= @t45 @t1)))))) % 5.03/5.27 (assume @p85 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (= @t211 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t210)))))))) % 5.03/5.27 (assume @p86 (forall @t6 (=> @t163 (forall @t20 (=> @t202 (= @t213 (forall @t90 (=> @t161 (=> @t203 @t212))))))))) % 5.03/5.27 (assume @p87 (forall @t6 (=> @t67 (forall @t138 (= (= @t45 (tptp.fiber @t1 @t11)) (forall @t143 (= @t142 (and (not @t214) (tptp.in (tptp.ordered_pair @t115 @t11) @t1))))))))) % 5.03/5.27 (assume @p88 (forall @t15 (=> @t123 (= (= @t11 @t217) (and (= @t216 @t1) (forall @t120 (=> (and @t117 @t207) (= @t119 @t215)))))))) % 5.03/5.27 (assume @p89 (forall @t6 (= @t183 (forall @t20 @t13)))) % 5.03/5.27 (assume @p90 (forall @t15 (= (= @t11 @t32) (forall @t90 (= @t203 (tptp.subset @t45 @t1)))))) % 5.03/5.27 (assume @p91 (forall @t6 (=> @t168 (=> @t219 (forall @t138 (=> @t100 (= (= @t45 @t218) (and (tptp.latt_element_smaller @t1 @t45 @t11) (forall @t143 (=> @t166 (=> (tptp.latt_element_smaller @t1 @t115 @t11) (tptp.below @t1 @t45 @t115)))))))))))) % 5.03/5.27 (assume @p92 (forall @t6 (=> @t168 (forall @t20 (= @t220 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 5.03/5.27 (assume @p93 (forall @t6 (= (tptp.centered @t1) (and @t208 (forall @t20 (not (and @t222 @t124 @t74 (= @t221 tptp.empty_set)))))))) % 5.03/5.27 (assume @p94 (forall @t6 (=> @t225 (= @t224 (tptp.rel_str_of @t3 @t223))))) % 5.03/5.27 (assume @p95 (forall @t6 (=> @t157 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t154 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t45))))))))) % 5.03/5.27 (assume @p96 (forall @t6 (=> @t195 (forall @t20 (= (= @t11 (tptp.pair_second @t1)) (forall @t120 (=> @t194 @t226))))))) % 5.03/5.27 (assume @p97 (forall @t6 (= @t64 (forall @t20 (=> @t12 @t124))))) % 5.03/5.27 (assume @p98 (forall @t6 (=> @t129 (= @t227 tptp.empty_set)))) % 5.03/5.27 (assume @p99 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t126 (forall @t120 (= @t228 @t119)))))))) % 5.03/5.27 (assume @p100 (forall @t15 (and (=> @t94 (= @t19 @t12)) (=> @t30 (= @t19 @t91))))) % 5.03/5.27 (assume @p101 (forall @t51 (= (= @t45 @t96) (forall @t143 (= @t142 (or (= @t115 @t1) @t214)))))) % 5.03/5.27 (assume @p102 (forall @t6 (=> @t163 (forall @t20 (=> @t202 (= @t230 @t229)))))) % 5.03/5.27 (assume @p103 (forall @t6 (=> @t67 (= @t231 (forall @t20 (not (and (tptp.subset @t11 @t149) @t222 (forall @t90 (not (and @t203 (tptp.disjoint (tptp.fiber @t1 @t45) @t11))))))))))) % 5.03/5.27 (assume @p104 (forall @t51 (= (= @t45 @t98) (forall @t143 (= @t142 (or @t207 @t134)))))) % 5.03/5.27 (assume @p105 (forall @t51 (= (= @t45 @t70) (forall @t143 (= @t142 (exists @t235 (and @t147 @t234 (= @t115 @t233)))))))) % 5.03/5.27 (assume @p106 (forall @t6 (=> @t163 (= @t239 (forall @t20 (=> @t202 (not (and @t238 @t213 (forall @t90 (=> @t237 (not (and @t236 (tptp.is_a_cover_of_carrier @t1 @t45) (tptp.finite @t45))))))))))))) % 5.03/5.27 (assume @p107 (forall @t6 (=> @t225 (forall @t20 (=> @t101 (= @t240 @t11)))))) % 5.03/5.27 (assume @p108 (forall @t6 (=> @t192 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t241 (= @t191 @t45))))))))) % 5.03/5.27 (assume @p109 (forall @t6 (= @t63 (forall @t138 (not (and @t12 @t117 (not @t244) @t243 @t242)))))) % 5.03/5.27 (assume @p110 (forall @t6 (=> @t129 (= @t245 @t3)))) % 5.03/5.27 (assume @p111 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t125 (forall @t120 (=> @t228 @t119)))))))) % 5.03/5.27 (assume @p112 (forall @t15 (= @t125 @t246))) % 5.03/5.27 (assume @p113 (forall @t6 (=> @t67 (forall @t20 (= @t248 (forall @t90 (not (and @t236 @t247 (forall @t143 (not (and @t142 (tptp.disjoint (tptp.fiber @t1 @t115) @t45)))))))))))) % 5.03/5.27 (assume @p114 (forall @t51 (= (= @t45 @t105) (forall @t143 (= @t142 (and @t207 @t134)))))) % 5.03/5.27 (assume @p115 (forall @t6 (=> @t146 (forall @t138 (and (=> @t251 (= @t250 @t180)) (=> (not @t251) (= @t250 @t182))))))) % 5.03/5.27 (assume @p116 (forall @t6 (=> @t225 (forall @t20 (=> @t254 (= @t252 @t11)))))) % 5.03/5.27 (assume @p117 (forall @t6 (= @t40 @t65))) % 5.03/5.27 (assume @p118 (forall @t6 (=> @t67 (forall @t20 (= (= @t11 @t140) (forall @t90 (= @t203 (exists @t143 @t228)))))))) % 5.03/5.27 (assume @p119 (forall @t6 (=> @t67 (forall @t20 (= @t256 (forall @t120 (=> (and @t203 @t134 @t228 @t255) @t116))))))) % 5.03/5.27 (assume @p120 (forall @t6 (= @t257 @t1))) % 5.03/5.27 (assume @p121 (forall @t15 (= (= @t11 @t258) (forall @t90 (= @t203 (exists @t143 (and @t206 @t207))))))) % 5.03/5.27 (assume @p122 (forall @t6 (=> @t67 (= @t259 (and @t66 @t68 @t150 @t165 @t231))))) % 5.03/5.27 (assume @p123 (forall @t15 (= @t263 (exists @t90 (and @t69 @t47 @t78 @t262 (= @t260 @t11)))))) % 5.03/5.27 (assume @p124 (forall @t51 (= (= @t45 @t264) (forall @t143 (= @t142 (and @t207 (not @t134))))))) % 5.03/5.27 (assume @p125 (forall @t6 (=> @t146 (forall @t20 (= @t267 (forall @t90 (= @t203 (exists @t143 @t265)))))))) % 5.03/5.27 (assume @p126 (forall @t6 (=> @t5 (= @t268 (tptp.is_transitive_in @t2 @t3))))) % 5.03/5.27 (assume @p127 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t269 @t40 (forall @t20 (=> @t37 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t125))))))) % 5.03/5.27 (assume @p128 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (= @t270 @t199)))))) % 5.03/5.27 (assume @p129 (forall @t6 (=> @t67 (forall @t20 (= @t267 (forall @t90 (= @t203 (exists @t143 @t255)))))))) % 5.03/5.27 (assume @p130 (forall @t15 (=> @t33 (= @t271 @t264)))) % 5.03/5.27 (assume @p131 (forall @t15 (= @t272 (tptp.unordered_pair @t96 @t196)))) % 5.03/5.27 (assume @p132 (forall @t6 (=> @t67 (forall @t20 (= (tptp.well_orders @t1 @t11) (and @t204 @t274 @t256 @t273 @t248)))))) % 5.03/5.27 (assume @p133 (forall @t6 (=> @t5 (= @t275 (tptp.is_antisymmetric_in @t2 @t3))))) % 5.03/5.27 (assume @p134 (forall @t6 (= @t269 (= @t1 @t258)))) % 5.03/5.27 (assume @p135 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (= @t277 (tptp.open_subset @t276 @t1))))))) % 5.03/5.27 (assume @p136 (forall @t6 (=> @t67 (= @t149 (tptp.set_union2 @t140 @t266))))) % 5.03/5.27 (assume @p137 (forall @t6 (=> @t67 (forall @t20 (= @t273 (forall @t120 (not (and @t203 @t134 (not @t116) (not @t228) (not @t255))))))))) % 5.03/5.27 (assume @p138 (forall @t6 (=> @t67 (forall @t20 (= @t279 (tptp.set_intersection2 @t1 @t278)))))) % 5.03/5.27 (assume @p139 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= (= @t11 @t280) (forall @t120 (= @t119 @t255)))))))) % 5.03/5.27 (assume @p140 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t284 (= @t283 (and (= @t261 @t149) (= @t260 @t216) @t78 (forall @t136 (= @t133 (and (tptp.in @t115 @t149) (tptp.in @t131 @t149) (tptp.in (tptp.ordered_pair @t282 @t281) @t11))))))))))))) % 5.03/5.27 (assume @p141 (forall @t15 (= @t285 (= @t105 tptp.empty_set)))) % 5.03/5.27 (assume @p142 (forall @t6 (=> @t225 (= @t286 (tptp.a_1_0_filter_1 @t1))))) % 5.03/5.27 (assume @p143 (forall @t6 (=> @t146 (= @t75 (forall @t138 (=> (and @t251 (tptp.in @t45 @t140) (= @t249 (tptp.apply @t1 @t45))) @t193)))))) % 5.03/5.27 (assume @p144 (forall @t6 (=> @t5 (forall @t138 (=> @t100 (= (tptp.relstr_element_smaller @t1 @t11 @t45) (forall @t143 (=> @t166 (=> @t134 @t287))))))))) % 5.03/5.27 (assume @p145 (forall @t6 (=> @t168 (= @t53 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= (tptp.join @t1 @t154 @t45) @t45))))))))) % 5.03/5.27 (assume @p146 (forall @t6 (=> @t129 (forall @t20 (=> @t202 (= @t238 (= @t245 @t200))))))) % 5.03/5.27 (assume @p147 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t69 (= (= @t45 @t289) (forall @t136 (= @t135 (exists @t288 (and (tptp.in (tptp.ordered_pair @t115 @t232) @t1) (tptp.in (tptp.ordered_pair @t232 @t131) @t11))))))))))))) % 5.03/5.27 (assume @p148 (forall @t6 (=> @t67 (forall @t20 (= @t274 (forall @t290 (=> (and @t203 @t134 @t139 @t228 @t133) (tptp.in (tptp.ordered_pair @t45 @t131) @t1)))))))) % 5.03/5.27 (assume @p149 (forall @t15 (=> @t293 (forall @t90 (=> (tptp.element @t45 @t292) (= (= @t45 @t291) (forall @t143 (=> @t187 (= @t142 (tptp.in (tptp.subset_complement @t1 @t115) @t11)))))))))) % 5.03/5.27 (assume @p150 (forall @t15 (= @t17 (and @t125 @t294)))) % 5.03/5.27 (assume @p151 (forall @t6 (=> @t146 (=> @t75 (= @t295 @t280))))) % 5.03/5.27 (assume @p152 (forall @t6 (=> @t5 (forall @t138 (=> @t100 (= (tptp.relstr_set_smaller @t1 @t11 @t45) (forall @t143 (=> @t166 (=> @t134 (tptp.related @t1 @t115 @t45)))))))))) % 5.03/5.27 (assume @p153 (forall @t6 (=> @t5 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t296 (tptp.in @t170 @t2))))))))) % 5.03/5.27 (assume @p154 (forall @t6 (=> @t67 (= @t66 (tptp.is_reflexive_in @t1 @t149))))) % 5.03/5.27 (assume @p155 (forall @t15 (=> @t89 (and @t298 (tptp.rel_str @t297))))) % 5.03/5.27 (assume @p156 (forall @t51 (=> @t306 (and @t300 (tptp.latt_str @t299))))) % 5.03/5.27 (assume @p157 (forall @t176 (=> @t312 (tptp.element @t308 (tptp.the_carrier @t307))))) % 5.03/5.27 (assume @p158 true) % 5.03/5.27 (assume @p159 (forall @t15 (=> @t168 (tptp.element @t218 @t3)))) % 5.03/5.27 (assume @p160 (forall @t15 (=> @t168 (tptp.element @t220 @t3)))) % 5.03/5.27 (assume @p161 (forall @t176 (=> @t315 (tptp.element @t313 @t70)))) % 5.03/5.27 (assume @p162 (forall @t6 (and @t316 (tptp.latt_str @t189)))) % 5.03/5.27 (assume @p163 (forall @t51 (=> (and @t59 @t102 @t101 @t100) (tptp.element @t191 @t3)))) % 5.03/5.27 (assume @p164 (forall @t6 (=> @t129 (tptp.element @t227 @t158)))) % 5.03/5.27 (assume @p165 (forall @t15 (=> @t317 (tptp.element @t211 @t158)))) % 5.03/5.27 (assume @p166 (forall @t6 (tptp.relation @t217))) % 5.03/5.27 (assume @p167 (forall @t321 (=> @t320 (tptp.element @t318 @t45)))) % 5.03/5.27 (assume @p168 (forall @t6 (=> @t146 (and (tptp.relation @t295) (tptp.function @t295))))) % 5.03/5.27 (assume @p169 (forall @t6 (=> @t225 (and (tptp.reflexive @t223) (tptp.antisymmetric @t223) (tptp.transitive @t223) (tptp.v1_partfun1 @t223 @t3 @t3) (tptp.relation_of2_as_subset @t223 @t3 @t3))))) % 5.03/5.27 (assume @p170 (forall @t51 (=> (and @t59 @t107 @t101 @t100) (tptp.element @t154 @t3)))) % 5.03/5.27 (assume @p171 (forall @t6 (=> @t129 (tptp.element @t245 @t158)))) % 5.03/5.27 (assume @p172 (forall @t6 (tptp.element @t257 @t32))) % 5.03/5.27 (assume @p173 (forall @t15 (=> @t67 (tptp.relation @t279)))) % 5.03/5.27 (assume @p174 (forall @t6 (=> @t225 (and @t325 @t324 @t323 @t322 (tptp.rel_str @t224))))) % 5.03/5.27 (assume @p175 (forall @t51 (=> @t103 (tptp.element @t99 @t3)))) % 5.03/5.27 (assume @p176 (forall @t15 (=> @t33 (tptp.element @t271 @t32)))) % 5.03/5.27 (assume @p177 (forall @t15 (=> (and @t59 @t61 @t10 @t101) (tptp.element @t240 @t253)))) % 5.03/5.27 (assume @p178 (forall @t51 (=> @t108 (tptp.element @t106 @t3)))) % 5.03/5.27 (assume @p179 (forall @t6 (=> @t67 @t326))) % 5.03/5.27 (assume @p180 (forall @t51 (=> @t50 (tptp.element @t185 @t32)))) % 5.03/5.27 (assume @p181 (forall @t51 (=> @t111 (tptp.element @t109 @t32)))) % 5.03/5.27 (assume @p182 (forall @t15 (=> (and @t59 @t61 @t10 @t254) (tptp.element @t252 @t3)))) % 5.03/5.27 (assume @p183 (forall @t6 (=> @t157 (tptp.element @t169 @t3)))) % 5.03/5.27 (assume @p184 (forall @t15 (=> @t328 @t327))) % 5.03/5.27 (assume @p185 (forall @t51 (=> @t50 (tptp.element @t330 @t329)))) % 5.03/5.27 (assume @p186 (forall @t15 (=> @t293 (tptp.element @t331 @t32)))) % 5.03/5.27 (assume @p187 (forall @t51 (=> @t111 (tptp.element @t112 @t32)))) % 5.03/5.27 (assume @p188 (forall @t6 (and (tptp.v1_partfun1 @t332 @t1 @t1) (tptp.relation_of2_as_subset @t332 @t1 @t1)))) % 5.03/5.27 (assume @p189 (forall @t15 (=> @t317 (tptp.element @t160 @t158)))) % 5.03/5.27 (assume @p190 (forall @t6 @t333)) % 5.03/5.27 (assume @p191 (forall @t15 (=> @t293 (tptp.element @t334 @t32)))) % 5.03/5.27 (assume @p192 (forall @t51 (=> @t111 (tptp.element @t335 @t32)))) % 5.03/5.27 (assume @p193 @t337) % 5.03/5.27 (assume @p194 (forall @t15 (=> @t67 @t338))) % 5.03/5.27 (assume @p195 (forall @t15 (=> @t293 (tptp.element @t291 @t292)))) % 5.03/5.27 (assume @p196 (forall @t15 (=> (and @t59 @t10 @t311 @t190) (and (tptp.strict_latt_str @t307) (tptp.latt_str @t307))))) % 5.03/5.27 (assume @p197 (forall @t176 (=> @t341 (tptp.element @t339 @t11)))) % 5.03/5.27 (assume @p198 (forall @t15 (=> @t123 @t342))) % 5.03/5.27 (assume @p199 (forall @t6 (=> @t225 (tptp.relation @t286)))) % 5.03/5.27 (assume @p200 (forall @t6 (=> @t107 @t129))) % 5.03/5.27 (assume @p201 (forall @t6 (=> @t5 @t129))) % 5.03/5.27 (assume @p202 (forall @t6 (=> @t163 @t129))) % 5.03/5.27 (assume @p203 (forall @t6 (=> @t102 @t129))) % 5.03/5.27 (assume @p204 (forall @t6 (=> @t10 (and @t107 @t102)))) % 5.03/5.27 (assume @p205 (forall @t15 (=> @t343 (forall @t90 (=> @t172 @t161))))) % 5.03/5.27 (assume @p206 (forall @t51 (=> @t186 @t71))) % 5.03/5.27 (assume @p207 (forall @t6 (=> @t107 (and @t346 @t345 (tptp.relation_of2_as_subset @t7 @t344 @t3))))) % 5.03/5.27 (assume @p208 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 5.03/5.27 (assume @p209 (forall @t6 (=> @t163 (tptp.element @t198 @t201)))) % 5.03/5.27 (assume @p210 (forall @t6 (=> @t102 (and @t348 @t347 (tptp.relation_of2_as_subset @t8 @t344 @t3))))) % 5.03/5.27 (assume @p211 (exists @t6 @t107)) % 5.03/5.27 (assume @p212 (exists @t6 @t5)) % 5.03/5.27 (assume @p213 (exists @t6 @t163)) % 5.03/5.27 (assume @p214 (exists @t6 @t129)) % 5.03/5.27 (assume @p215 (exists @t6 @t102)) % 5.03/5.27 (assume @p216 (exists @t6 @t10)) % 5.03/5.27 (assume @p217 (forall @t15 (=> @t343 (exists @t90 @t172)))) % 5.03/5.27 (assume @p218 (forall @t15 (exists @t90 @t50))) % 5.03/5.27 (assume @p219 (forall @t6 (exists @t20 @t19))) % 5.03/5.27 (assume @p220 (forall @t15 (exists @t90 @t186))) % 5.03/5.27 (assume @p221 (forall @t15 (=> @t74 @t349))) % 5.03/5.27 (assume @p222 (forall @t15 (=> @t351 (and (tptp.empty @t350) (tptp.relation @t350))))) % 5.03/5.27 (assume @p223 (forall @t15 (=> @t41 @t349))) % 5.03/5.27 (assume @p224 (forall @t6 (=> @t30 (and (tptp.empty @t280) @t326)))) % 5.03/5.27 (assume @p225 (forall @t15 (=> @t41 (tptp.finite @t264)))) % 5.03/5.27 (assume @p226 (and @t354 @t353 @t352)) % 5.03/5.27 (assume @p227 (forall @t15 (=> (and @t67 @t44 @t74) (tptp.finite @t144)))) % 5.03/5.27 (assume @p228 (forall @t15 (=> @t356 (and @t338 (tptp.relation_empty_yielding @t137))))) % 5.03/5.27 (assume @p229 (forall @t6 (and @t357 (tptp.finite @t196)))) % 5.03/5.27 (assume @p230 (forall @t6 (and @t358 (tptp.cup_closed @t32) (tptp.diff_closed @t32) (tptp.preboolean @t32)))) % 5.03/5.27 (assume @p231 (forall @t15 (=> (and @t67 @t44 @t123 @t86) (and @t327 (tptp.function @t289))))) % 5.03/5.27 (assume @p232 (forall @t6 (and @t359 @t316))) % 5.03/5.27 (assume @p233 (forall @t15 (=> (and @t94 @t89) (and (not (tptp.empty_carrier @t297)) @t298)))) % 5.03/5.27 (assume @p234 (forall @t6 @t360)) % 5.03/5.27 (assume @p235 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 5.03/5.28 (assume @p236 (forall @t6 (=> @t129 (and (tptp.empty @t227) (tptp.v1_membered @t227) (tptp.v2_membered @t227) (tptp.v3_membered @t227) (tptp.v4_membered @t227) (tptp.v5_membered @t227))))) % 5.03/5.28 (assume @p237 (forall @t15 (=> @t328 (tptp.relation @t105)))) % 5.03/5.28 (assume @p238 @t363) % 5.03/5.28 (assume @p239 (forall @t6 @t358)) % 5.03/5.28 (assume @p240 @t354) % 5.03/5.28 (assume @p241 (forall @t15 (not (tptp.empty @t272)))) % 5.03/5.28 (assume @p242 (forall @t15 (=> @t21 @t364))) % 5.03/5.28 (assume @p243 (forall @t15 (=> @t21 @t365))) % 5.03/5.28 (assume @p244 (forall @t15 (=> @t23 (and @t364 @t366)))) % 5.03/5.28 (assume @p245 (forall @t6 (=> (and @t40 @t72) (and @t360 @t369 @t368 @t367 (tptp.natural @t197))))) % 5.03/5.28 (assume @p246 (forall @t6 (and @t333 @t370))) % 5.03/5.28 (assume @p247 (forall @t6 (=> @t373 (and @t372 @t348 @t347 (tptp.v1_binop_1 @t8 @t3) @t371)))) % 5.03/5.28 (assume @p248 (forall @t6 (and @t359 @t316 (tptp.join_commutative @t189) (tptp.join_associative @t189) (tptp.meet_commutative @t189) (tptp.meet_associative @t189) (tptp.meet_absorbing @t189) (tptp.join_absorbing @t189) (tptp.lattice @t189)))) % 5.03/5.28 (assume @p249 (forall @t6 (=> (and @t374 @t268 @t275 @t5) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 5.03/5.28 (assume @p250 (and @t353 @t352 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t354 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 5.03/5.28 (assume @p251 (forall @t6 (and @t333 @t370 (tptp.reflexive @t121) (tptp.symmetric @t121) (tptp.antisymmetric @t121) (tptp.transitive @t121)))) % 5.03/5.28 (assume @p252 (forall @t6 (=> @t362 (not (tptp.empty @t245))))) % 5.03/5.28 (assume @p253 (forall @t15 (=> @t328 (tptp.relation @t98)))) % 5.03/5.28 (assume @p254 (forall @t6 @t357)) % 5.03/5.28 (assume @p255 (forall @t15 (=> @t375 (tptp.closed_subset @t160 @t1)))) % 5.03/5.28 (assume @p256 (forall @t15 (=> @t94 (not (tptp.empty @t98))))) % 5.03/5.28 (assume @p257 (forall @t15 (=> @t23 (and @t365 @t376)))) % 5.03/5.28 (assume @p258 (forall @t15 (=> @t25 (and @t364 @t366 @t377)))) % 5.03/5.28 (assume @p259 (forall @t15 (=> @t25 (and @t365 @t376 @t378)))) % 5.03/5.28 (assume @p260 (forall @t15 (=> @t27 (and @t364 @t366 @t377 @t379)))) % 5.03/5.28 (assume @p261 (forall @t15 (=> @t27 (and @t365 @t376 @t378 @t380)))) % 5.03/5.28 (assume @p262 (forall @t15 (=> @t29 (and @t364 @t366 @t377 @t379 (tptp.v5_membered @t105))))) % 5.03/5.28 (assume @p263 (forall @t15 (=> @t29 (and @t365 @t376 @t378 @t380 (tptp.v5_membered @t104))))) % 5.03/5.28 (assume @p264 (forall @t15 (=> @t21 @t381))) % 5.03/5.28 (assume @p265 (forall @t15 (=> @t23 (and @t381 @t382)))) % 5.03/5.28 (assume @p266 (forall @t15 (=> @t25 (and @t381 @t382 @t383)))) % 5.03/5.28 (assume @p267 (forall @t6 (=> @t76 (and @t326 (tptp.function @t280))))) % 5.03/5.28 (assume @p268 (forall @t6 (=> (and @t59 @t56 @t102) (and @t372 @t348 @t347 (tptp.v2_binop_1 @t8 @t3) @t371)))) % 5.03/5.28 (assume @p269 (forall @t51 (=> (and @t94 @t86 @t305 @t304 @t47 @t303 @t302) (and (not (tptp.empty_carrier @t299)) @t300)))) % 5.03/5.28 (assume @p270 (forall @t15 (=> (and @t87 @t385 @t384 @t88 @t89) (and @t298 (tptp.reflexive_relstr @t297) (tptp.transitive_relstr @t297) (tptp.antisymmetric_relstr @t297))))) % 5.03/5.28 (assume @p271 (forall @t6 (=> @t40 (and @t360 @t369 @t368 @t367)))) % 5.03/5.28 (assume @p272 (forall @t15 (=> @t328 (tptp.relation @t264)))) % 5.03/5.28 (assume @p273 (forall @t15 (not (tptp.empty @t96)))) % 5.03/5.28 (assume @p274 (forall @t15 (=> (and @t173 @t163 @t277 @t162) @t386))) % 5.03/5.28 (assume @p275 (forall @t15 (=> @t94 (not (tptp.empty @t97))))) % 5.03/5.28 (assume @p276 (forall @t15 (=> @t27 (and @t381 @t382 @t383 @t387)))) % 5.03/5.28 (assume @p277 (forall @t15 (=> @t29 (and @t381 @t382 @t383 @t387 (tptp.v5_membered @t264))))) % 5.03/5.28 (assume @p278 (forall @t15 (=> @t146 (and @t338 (tptp.function @t137))))) % 5.03/5.28 (assume @p279 (forall @t6 (=> (and @t59 @t55 @t107) (and @t389 @t346 @t345 (tptp.v1_binop_1 @t7 @t3) @t388)))) % 5.03/5.28 (assume @p280 (forall @t6 (=> @t225 (and (not (tptp.empty_carrier @t224)) @t325 @t324 @t323 @t322)))) % 5.03/5.28 (assume @p281 (forall @t6 (=> @t40 (and (tptp.epsilon_transitive @t258) (tptp.epsilon_connected @t258) (tptp.ordinal @t258))))) % 5.03/5.28 (assume @p282 (and @t354 @t353)) % 5.03/5.28 (assume @p283 (forall @t15 (=> @t95 (not (tptp.empty @t70))))) % 5.03/5.28 (assume @p284 (forall @t15 (=> (and @t173 @t163 @t270 @t162) @t390))) % 5.03/5.28 (assume @p285 (forall @t15 (=> @t391 (and @t342 (tptp.function @t148))))) % 5.03/5.28 (assume @p286 (forall @t6 (=> (and @t59 @t54 @t107) (and @t389 @t346 @t345 (tptp.v2_binop_1 @t7 @t3) @t388)))) % 5.03/5.28 (assume @p287 (forall @t6 (=> @t392 (tptp.closed_subset @t245 @t1)))) % 5.03/5.28 (assume @p288 (forall @t6 (=> @t394 (not @t393)))) % 5.03/5.28 (assume @p289 (and @t354 (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))) % 5.03/5.28 (assume @p290 (forall @t6 (=> @t394 (not @t395)))) % 5.03/5.28 (assume @p291 (forall @t15 (=> @t375 @t396))) % 5.03/5.28 (assume @p292 (forall @t6 (=> @t30 (and @t393 (tptp.relation @t140))))) % 5.03/5.28 (assume @p293 (forall @t6 (=> @t30 (and @t395 (tptp.relation @t266))))) % 5.03/5.28 (assume @p294 (forall @t15 (=> (and @t41 @t74) (tptp.finite @t98)))) % 5.03/5.28 (assume @p295 (forall @t15 (=> @t351 (and (tptp.empty @t289) @t327)))) % 5.03/5.28 (assume @p296 (forall @t15 (=> @t398 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t120 (and @t397 @t309 (= @t1 (tptp.ordered_pair_as_product_element @t188 @t188 @t45 @t115)) (tptp.below_refl @t11 @t45 @t115))))))) % 5.03/5.28 (assume @p297 (forall @t51 (=> (and @t311 @t190) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t45)) @t400)))) % 5.03/5.28 (assume @p298 (forall @t51 (=> (and @t311 @t310 (tptp.complete_latt_str @t11) @t190) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t45)) @t400)))) % 5.03/5.28 (assume @p299 (forall @t15 (=> @t89 (forall @t120 (=> (= @t297 (tptp.rel_str_of @t45 @t115)) @t402))))) % 5.03/5.28 (assume @p300 (forall @t51 (=> @t306 (forall @t404 (=> (= @t299 (tptp.latt_str_of @t115 @t131 @t232)) (and @t399 (= @t11 @t131) @t403)))))) % 5.03/5.28 (assume @p301 (forall @t15 (= (tptp.set_union2 @t1 @t1) @t1))) % 5.03/5.28 (assume @p302 (forall @t15 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 5.03/5.28 (assume @p303 (forall @t51 (=> @t111 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 5.03/5.28 (assume @p304 (forall @t51 (=> @t111 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 5.03/5.28 (assume @p305 (forall @t15 (=> @t33 (= (tptp.subset_complement @t1 @t271) @t11)))) % 5.03/5.28 (assume @p306 (forall @t6 (=> @t67 (= (tptp.relation_inverse @t280) @t1)))) % 5.03/5.28 (assume @p307 (forall @t15 (=> @t293 (= (tptp.complements_of_subsets @t1 @t291) @t11)))) % 5.03/5.28 (assume @p308 (forall @t15 (not (tptp.proper_subset @t1 @t1)))) % 5.03/5.28 (assume @p309 (forall @t6 (=> @t67 (= @t66 (forall @t20 (=> @t405 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 5.03/5.28 (assume @p310 (forall @t6 (not (= @t196 tptp.empty_set)))) % 5.03/5.28 (assume @p311 (forall @t15 (=> @t14 (= (tptp.set_union2 @t196 @t11) @t11)))) % 5.03/5.28 (assume @p312 (forall @t15 (not (and @t406 @t14)))) % 5.03/5.28 (assume @p313 (forall @t15 (=> @t407 @t406))) % 5.03/5.28 (assume @p314 (forall @t15 (=> @t123 (tptp.subset (tptp.relation_dom @t148) @t177)))) % 5.03/5.28 (assume @p315 (forall @t6 (=> @t67 (= @t68 (forall @t181 (=> (and @t180 @t228) @t179)))))) % 5.03/5.28 (assume @p316 (forall @t15 (= (tptp.subset @t196 @t11) @t14))) % 5.03/5.28 (assume @p317 (forall @t15 (=> @t123 (not (and @t408 (tptp.equipotent @t1 @t216) (forall @t90 (=> @t69 (not (tptp.well_orders @t45 @t1))))))))) % 5.03/5.28 (assume @p318 (forall @t15 (= (= @t264 tptp.empty_set) @t125))) % 5.03/5.28 (assume @p319 (forall @t15 (=> @t33 (forall @t90 (=> @t203 @t117))))) % 5.03/5.28 (assume @p320 (forall @t6 (=> @t67 (= @t150 (forall @t138 (=> (and @t180 @t409) @t193)))))) % 5.03/5.28 (assume @p321 (forall @t51 (=> @t125 (or @t117 (tptp.subset @t1 (tptp.set_difference @t11 @t410)))))) % 5.03/5.28 (assume @p322 (forall @t6 (=> @t362 (forall @t20 (=> @t162 (forall @t90 (=> @t100 (= (tptp.in @t45 @t210) @t242)))))))) % 5.03/5.28 (assume @p323 (forall @t6 (=> @t67 (= @t165 (forall @t138 (not (and @t405 (tptp.in @t45 @t149) @t243 @t411 (not @t409)))))))) % 5.03/5.28 (assume @p324 (forall @t15 (= (tptp.subset @t1 @t412) (or @t183 (= @t1 @t412))))) % 5.03/5.28 (assume @p325 (forall @t15 (=> @t14 (tptp.subset @t1 @t413)))) % 5.03/5.28 (assume @p326 (forall @t176 (= (tptp.in @t272 (tptp.cartesian_product2 @t45 @t115)) (and @t414 (tptp.in @t11 @t115))))) % 5.03/5.28 (assume @p327 (forall @t15 (=> @t246 @t415))) % 5.03/5.28 (assume @p328 (forall @t51 (=> @t284 (= @t417 (and (tptp.in @t11 @t261) @t12))))) % 5.03/5.28 (assume @p329 (exists @t6 (and @t94 @t64 @t63 @t40 @t72))) % 5.03/5.28 (assume @p330 (exists @t6 (and @t94 @t41))) % 5.03/5.28 (assume @p331 (exists @t6 @t146)) % 5.03/5.28 (assume @p332 (forall @t15 (exists @t90 (and @t50 @t69 @t47 @t46)))) % 5.03/5.28 (assume @p333 (exists @t6 (and @t94 @t21 @t23 @t25 @t27 @t29))) % 5.03/5.28 (assume @p334 (exists @t6 (and @t5 @t4))) % 5.03/5.28 (assume @p335 (exists @t6 @t81)) % 5.03/5.28 (assume @p336 (exists @t6 (and @t64 @t63 @t40 @t269))) % 5.03/5.28 (assume @p337 (exists @t6 (and @t67 @t44 @t75 @t30))) % 5.03/5.28 (assume @p338 (exists @t6 (and @t30 @t67))) % 5.03/5.28 (assume @p339 (forall @t6 (=> @t94 (exists @t20 (and @t33 @t92))))) % 5.03/5.28 (assume @p340 (forall @t6 (=> @t392 (exists @t20 (and @t162 @t270))))) % 5.03/5.28 (assume @p341 (exists @t6 @t30)) % 5.03/5.28 (assume @p342 (forall @t6 (exists @t20 (and @t33 @t91 @t123 @t86 @t85 @t39 @t38 @t37 @t28 @t74)))) % 5.03/5.28 (assume @p343 (exists @t6 @t77)) % 5.03/5.28 (assume @p344 (forall @t6 (exists @t20 (and @t89 @t123 @t86 @t85 @t84 @t83 @t82)))) % 5.03/5.28 (assume @p345 (exists @t6 (and @t5 @t59 @t4 @t374 @t268 @t275))) % 5.03/5.28 (assume @p346 (exists @t6 (and @t67 @t44 @t75 @t30 @t64 @t63 @t40))) % 5.03/5.28 (assume @p347 (forall @t15 (exists @t90 (and @t50 @t69 @t47)))) % 5.03/5.28 (assume @p348 (exists @t6 @t394)) % 5.03/5.28 (assume @p349 (forall @t6 (exists @t20 (and @t33 @t91)))) % 5.03/5.28 (assume @p350 (forall @t6 (=> @t392 (exists @t20 (and @t162 @t270 @t277))))) % 5.03/5.28 (assume @p351 (exists @t6 @t94)) % 5.03/5.28 (assume @p352 (forall @t6 (=> @t94 (exists @t20 (and @t33 @t92 @t74))))) % 5.03/5.28 (assume @p353 (exists @t6 @t76)) % 5.03/5.28 (assume @p354 (exists @t6 (and @t10 @t9))) % 5.03/5.28 (assume @p355 (exists @t6 (and @t94 @t64 @t63 @t40))) % 5.03/5.28 (assume @p356 (forall @t6 (exists @t20 (and @t89 @t123 @t87 (tptp.symmetric @t11) @t385 @t384 @t88)))) % 5.03/5.28 (assume @p357 (exists @t6 @t356)) % 5.03/5.28 (assume @p358 (exists @t6 (and @t129 @t59))) % 5.03/5.28 (assume @p359 (exists @t6 (and @t67 @t355 @t44))) % 5.03/5.28 (assume @p360 (forall @t6 (=> @t362 (exists @t20 (and @t162 @t92))))) % 5.03/5.28 (assume @p361 (exists @t6 (and @t10 @t59 @t9))) % 5.03/5.28 (assume @p362 (forall @t6 (=> @t392 (exists @t20 (and @t162 @t277))))) % 5.03/5.28 (assume @p363 (forall @t6 (=> @t174 (exists @t20 (and @t162 @t92 @t277))))) % 5.03/5.28 (assume @p364 (exists @t6 (and @t10 @t59 @t9 @t57 @t56 @t55 @t54 @t53 @t52 @t61))) % 5.03/5.28 (assume @p365 (forall @t176 (=> @t312 (= @t308 @t118)))) % 5.03/5.28 (assume @p366 (forall @t176 (=> @t315 (= @t313 @t118)))) % 5.03/5.28 (assume @p367 (forall @t321 (=> @t320 (= @t318 (tptp.apply_binary @t115 @t131 @t232))))) % 5.03/5.28 (assume @p368 (forall @t6 (=> @t225 (= @t223 @t286)))) % 5.03/5.28 (assume @p369 (forall @t51 (=> @t103 (= @t99 @t191)))) % 5.03/5.28 (assume @p370 (forall @t51 (=> @t108 (= @t106 @t154)))) % 5.03/5.28 (assume @p371 (forall @t51 (=> @t50 (= @t185 @t261)))) % 5.03/5.28 (assume @p372 (forall @t51 (=> @t111 (= @t109 @t418)))) % 5.03/5.28 (assume @p373 (forall @t51 (=> @t50 (= @t330 @t260)))) % 5.03/5.28 (assume @p374 (forall @t15 (=> @t293 (= @t331 @t413)))) % 5.03/5.28 (assume @p375 (forall @t51 (=> @t111 (= @t112 @t419)))) % 5.03/5.28 (assume @p376 @t420) % 5.03/5.28 (assume @p377 (forall @t15 (=> @t293 (= @t334 @t221)))) % 5.03/5.28 (assume @p378 (forall @t51 (=> @t111 (= @t335 @t421)))) % 5.03/5.28 (assume @p379 @t423) % 5.03/5.28 (assume @p380 @t424) % 5.03/5.28 (assume @p381 (forall @t15 (=> @t114 (= @t113 @t125)))) % 5.03/5.28 (assume @p382 (forall @t15 (= @t263 (tptp.are_equipotent @t1 @t11)))) % 5.03/5.28 (assume @p383 (forall @t51 (=> @t426 (= @t425 @t241)))) % 5.03/5.28 (assume @p384 (forall @t51 (=> @t427 (= (tptp.related_reflexive @t1 @t11 @t45) @t296)))) % 5.03/5.28 (assume @p385 (forall @t15 (=> @t114 (tptp.ordinal_subset @t1 @t1)))) % 5.03/5.28 (assume @p386 (forall @t15 (tptp.subset @t1 @t1))) % 5.03/5.28 (assume @p387 (forall @t15 (tptp.equipotent @t1 @t1))) % 5.03/5.28 (assume @p388 (forall @t51 (=> @t426 (tptp.below_refl @t1 @t11 @t11)))) % 5.03/5.28 (assume @p389 (forall @t51 (=> @t427 (tptp.related_reflexive @t1 @t11 @t11)))) % 5.03/5.28 (assume @p390 (forall @t15 (=> @t445 (=> @t444 (exists @t90 (and @t69 @t47 (forall @t136 (= @t135 (and @t207 @t207 (exists @t432 (and (= @t115 @t429) (tptp.in @t131 @t429) (forall @t431 (=> @t430 (tptp.in (tptp.ordered_pair @t131 @t428) @t11)))))))))))))) % 5.03/5.28 (assume @p391 (forall @t6 (=> @t448 (exists @t20 (and @t123 @t86 (forall @t120 (= @t119 (and @t117 @t117 (= @t115 @t410))))))))) % 5.03/5.28 (assume @p392 (forall @t15 (=> @t461 (=> @t460 (exists @t90 (and @t69 @t47 (forall @t136 (= @t135 (and @t454 @t454 @t452))))))))) % 5.03/5.28 (assume @p393 (forall @t15 (=> @t461 (=> @t462 (exists @t90 (and @t69 @t47 (forall @t136 (= @t135 (and @t134 @t134 @t452))))))))) % 5.03/5.28 (assume @p394 (forall @t6 (=> (exists @t20 (and @t37 @t12)) (exists @t20 (and @t37 @t12 (forall @t90 (=> @t463 (=> @t117 (tptp.ordinal_subset @t11 @t45))))))))) % 5.03/5.28 (assume @p395 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t487)) (not (and @t208 (forall @t20 (not (and @t12 (forall @t90 (=> (and @t117 @t486) (= @t45 @t11))))))))))) (forall @t143 (=> @t470 (=> @t485 (=> (tptp.in @t484 tptp.omega) (forall @t438 (=> (tptp.element @t435 (tptp.powerset (tptp.powerset @t484))) (not (and (not (= @t435 tptp.empty_set)) (forall @t437 (not (and @t436 (forall @t432 (=> (and (tptp.in @t429 @t435) (tptp.subset @t434 @t429)) (= @t429 @t434)))))))))))))) (forall @t143 (=> @t470 (=> (and (tptp.being_limit_ordinal @t115) (forall @t431 (=> (tptp.ordinal @t428) (=> (tptp.in @t428 @t115) (=> (tptp.in @t428 tptp.omega) (forall @t483 (=> (tptp.element @t479 (tptp.powerset (tptp.powerset @t428))) (not (and (not (= @t479 tptp.empty_set)) (forall @t482 (not (and @t481 (forall @t480 (=> (and (tptp.in @t478 @t479) (tptp.subset @t477 @t478)) (= @t478 @t477))))))))))))))) (or (= @t115 tptp.empty_set) (=> @t469 (forall @t476 (=> (tptp.element @t473 @t467) (not (and (not (= @t473 tptp.empty_set)) (forall @t475 (not (and (tptp.in @t471 @t473) (forall @t474 (=> (and (tptp.in @t472 @t473) (tptp.subset @t471 @t472)) (= @t472 @t471)))))))))))))))) (forall @t143 (=> @t470 (=> @t469 (forall @t468 (=> (tptp.element @t466 @t467) (not (and (not (= @t466 tptp.empty_set)) (forall (@list @t464) (not (and (tptp.in @t464 @t466) (forall (@list @t465) (=> (and (tptp.in @t465 @t466) (tptp.subset @t464 @t465)) (= @t465 @t464))))))))))))))) % 5.03/5.28 (assume @p396 (forall @t51 (=> @t491 (exists @t143 (and @t490 (forall @t235 (= (tptp.in @t233 @t115) (and @t147 @t489 (tptp.in (tptp.ordered_pair @t281 @t488) @t11))))))))) % 5.03/5.28 (assume @p397 (forall @t15 (=> @t445 (=> @t444 (exists @t90 (forall @t143 (= @t142 (exists @t141 (and @t147 @t147 (exists @t432 (and (= @t131 @t429) @t493 @t492))))))))))) % 5.03/5.28 (assume @p398 (forall @t15 (=> @t445 (forall @t90 (=> (forall @t404 (=> (and @t433 (exists @t504 (and @t503 @t501 (exists @t437 (and (= @t440 @t434) (tptp.in @t435 @t434) (forall @t432 (=> @t500 (tptp.in (tptp.ordered_pair @t435 @t429) @t11))))))) @t499 (exists @t498 (and (= @t497 @t232) (tptp.in @t428 @t1) (exists @t482 (and (= @t428 @t477) (tptp.in @t479 @t477) (forall @t480 (=> (tptp.in @t478 @t477) (tptp.in (tptp.ordered_pair @t479 @t478) @t11)))))))) @t496)) (exists @t143 (forall @t141 (= @t175 (exists @t288 (and (tptp.in @t232 @t495) @t494 (exists (@list @t473 @t471) (and (= (tptp.ordered_pair @t473 @t471) @t131) (tptp.in @t473 @t1) (exists @t474 (and (= @t473 @t472) (tptp.in @t471 @t472) (forall @t468 (=> (tptp.in @t466 @t472) (tptp.in (tptp.ordered_pair @t471 @t466) @t11))))))))))))))))) % 5.03/5.28 (assume @p399 (forall @t6 (=> @t448 (exists @t20 (forall @t90 (= @t203 (exists @t143 (and @t207 @t207 (= @t45 (tptp.singleton @t115)))))))))) % 5.03/5.28 (assume @p400 (forall @t15 (=> (forall @t290 (=> (and @t116 (exists @t511 (and (= @t510 @t115) @t489 (= @t440 (tptp.singleton @t232)))) @t509 (exists (@list @t435 @t434) (and (= (tptp.ordered_pair @t435 @t434) @t131) @t508 (= @t434 (tptp.singleton @t435))))) @t433)) (exists @t90 (forall @t143 (= @t142 (exists @t141 (and (tptp.in @t131 @t70) @t507 (exists @t506 (and (= @t505 @t115) (tptp.in @t429 @t1) (= @t428 (tptp.singleton @t429)))))))))))) % 5.03/5.28 (assume @p401 (forall @t6 (=> @t40 (=> (forall @t181 (=> (and @t193 (exists @t141 (and @t514 @t509 (=> (tptp.in @t131 tptp.omega) (forall @t288 (=> (tptp.element @t232 (tptp.powerset (tptp.powerset @t131))) @t513))))) @t226 (exists @t437 (and (tptp.ordinal @t434) (= @t115 @t434) (=> (tptp.in @t434 tptp.omega) (forall @t432 (=> (tptp.element @t429 (tptp.powerset (tptp.powerset @t434))) (not (and (not (= @t429 tptp.empty_set)) (forall @t431 (not (and @t430 (forall @t483 (=> (and (tptp.in @t479 @t429) (tptp.subset @t428 @t479)) (= @t479 @t428)))))))))))))) @t116)) (exists @t20 (forall @t90 (= @t203 (exists @t143 (and (tptp.in @t115 @t197) @t512 (exists @t482 (and (tptp.ordinal @t477) (= @t45 @t477) (=> (tptp.in @t477 tptp.omega) (forall @t480 (=> (tptp.element @t478 (tptp.powerset (tptp.powerset @t477))) (not (and (not (= @t478 tptp.empty_set)) (forall @t476 (not (and (tptp.in @t473 @t478) (forall @t475 (=> (and (tptp.in @t471 @t478) (tptp.subset @t473 @t471)) (= @t471 @t473)))))))))))))))))))))) % 5.03/5.28 (assume @p402 (forall @t15 (=> @t375 (=> (forall @t290 (=> (and @t116 (exists @t288 (and @t458 (= @t232 @t115) (tptp.closed_subset @t232 @t1) @t515)) @t509 (exists @t442 (and @t455 (= @t440 @t131) (tptp.closed_subset @t440 @t1) (tptp.subset @t11 @t131)))) @t433)) (exists @t90 (forall @t143 (= @t142 (exists @t141 (and @t516 @t507 (exists @t438 (and @t451 @t450 (tptp.closed_subset @t435 @t1) @t515))))))))))) % 5.03/5.28 (assume @p403 (forall @t15 (=> @t518 (=> (forall @t290 (=> (and @t116 @t517 @t509 (tptp.in (tptp.set_difference @t245 @t131) @t11)) @t433)) (exists @t90 (forall @t143 (= @t142 (exists @t141 (and @t516 @t507 @t517))))))))) % 5.03/5.28 (assume @p404 (forall @t15 (=> @t520 (=> (forall @t290 (=> (and @t116 (exists @t288 (and @t234 (= @t115 (tptp.set_difference @t232 @t196)))) @t509 (exists @t442 (and @t519 (= @t131 (tptp.set_difference @t440 @t196))))) @t433)) (exists @t90 (forall @t143 (= @t142 (exists @t141 (and (tptp.in @t131 @t32) @t507 (exists @t438 (and (tptp.in @t435 @t11) (= @t115 (tptp.set_difference @t435 @t196))))))))))))) % 5.03/5.28 (assume @p405 (forall @t15 (=> @t461 (=> @t460 (exists @t90 (forall @t143 (= @t142 (exists @t141 (and @t523 @t523 @t522))))))))) % 5.03/5.28 (assume @p406 (forall @t15 (=> @t461 (forall @t90 (=> (forall @t404 (=> (and @t433 (exists @t504 (and @t503 (tptp.in @t440 @t453) @t532)) @t499 (exists @t506 (and @t529 (tptp.in @t429 @t453) @t528))) @t496)) (exists @t143 (forall @t141 (= @t175 (exists @t288 (and (tptp.in @t232 @t527) @t494 (exists @t526 (and @t525 (tptp.in @t477 @t453) @t524)))))))))))) % 5.03/5.28 (assume @p407 (forall @t15 (=> @t461 (=> @t462 (exists @t90 (forall @t143 (= @t142 (exists @t141 (and @t139 @t139 @t522))))))))) % 5.03/5.28 (assume @p408 (forall @t15 (=> @t461 (forall @t90 (=> (forall @t404 (=> (and @t433 (exists @t504 (and @t503 @t519 @t532)) @t499 (exists @t506 (and @t529 (tptp.in @t429 @t11) @t528))) @t496)) (exists @t143 (forall @t141 (= @t175 (exists @t288 (and (tptp.in @t232 @t533) @t494 (exists @t526 (and @t525 (tptp.in @t477 @t11) @t524)))))))))))) % 5.03/5.28 (assume @p409 (forall @t51 (=> @t491 (=> (forall @t404 (=> (and @t433 (exists @t504 (and (= @t131 @t502) (tptp.in (tptp.ordered_pair @t534 (tptp.apply @t45 @t435)) @t11))) @t499 (exists (@list @t434 @t429) (and (= @t232 (tptp.ordered_pair @t434 @t429)) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t434) (tptp.apply @t45 @t429)) @t11)))) @t496)) (exists @t143 (forall @t141 (= @t175 (exists @t288 (and (tptp.in @t232 @t301) @t494 (exists @t498 (and (= @t131 @t497) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t428) (tptp.apply @t45 @t479)) @t11)))))))))))) % 5.03/5.28 (assume @p410 (forall @t6 (=> (forall @t181 (=> (and @t193 @t463 @t226 @t470) @t116)) (exists @t20 (forall @t90 (= @t203 (exists @t143 (and @t207 @t512 @t463)))))))) % 5.03/5.28 (assume @p411 (forall @t51 (=> @t537 (=> (forall @t404 (=> (and @t433 @t535 @t499 (tptp.in (tptp.relation_image @t45 @t232) @t11)) @t496)) (exists @t143 (forall @t141 (= @t175 (exists @t288 (and (tptp.in @t232 @t536) @t494 @t535))))))))) % 5.03/5.28 (assume @p412 (forall @t15 (=> @t37 (=> (forall @t290 (=> (and @t116 (exists @t288 (and (tptp.ordinal @t232) @t499 @t489)) @t509 (exists @t442 (and (tptp.ordinal @t440) (= @t131 @t440) @t501))) @t433)) (exists @t90 (forall @t143 (= @t142 (exists @t141 (and (tptp.in @t131 @t538) @t507 (exists @t438 (and (tptp.ordinal @t435) (= @t115 @t435) @t508))))))))))) % 5.03/5.28 (assume @p413 (forall @t15 (=> @t445 (forall @t90 (exists @t143 (forall @t141 (= @t175 (and (tptp.in @t131 @t495) (exists @t511 (and @t539 @t489 (exists @t438 (and (= @t232 @t435) (tptp.in @t440 @t435) (forall @t437 (=> @t436 (tptp.in (tptp.ordered_pair @t440 @t434) @t11))))))))))))))) % 5.03/5.28 (assume @p414 (forall @t15 (exists @t90 (forall @t143 (= @t142 (and (tptp.in @t115 @t70) (exists @t235 (and (= @t233 @t115) @t147 (= @t232 (tptp.singleton @t131)))))))))) % 5.03/5.28 (assume @p415 (forall @t6 (=> @t40 (exists @t20 (forall @t90 (= @t203 (and (tptp.in @t45 @t197) (exists @t143 (and @t470 @t116 @t485))))))))) % 5.03/5.28 (assume @p416 (forall @t15 (=> @t375 (exists @t90 (forall @t143 (= @t142 (and @t541 @t540))))))) % 5.03/5.28 (assume @p417 (forall @t15 (=> @t518 (exists @t90 (forall @t143 (= @t142 (and @t541 @t517))))))) % 5.03/5.28 (assume @p418 (forall @t15 (=> @t520 (exists @t90 (forall @t143 (= @t142 (and (tptp.in @t115 @t32) (exists @t141 (and @t139 (= @t115 (tptp.set_difference @t131 @t196))))))))))) % 5.03/5.28 (assume @p419 (forall @t15 (=> @t461 (forall @t90 (exists @t143 (forall @t141 (= @t175 (and (tptp.in @t131 @t527) (exists @t511 (and @t539 (tptp.in @t232 @t453) @t542)))))))))) % 5.03/5.28 (assume @p420 (forall @t15 (=> @t461 (forall @t90 (exists @t143 (forall @t141 (= @t175 (and (tptp.in @t131 @t533) (exists @t511 (and @t539 @t234 @t542)))))))))) % 5.03/5.28 (assume @p421 (forall @t51 (=> @t491 (exists @t143 (forall @t141 (= @t175 (and (tptp.in @t131 @t301) (exists @t511 (and (= @t131 @t510) (tptp.in (tptp.ordered_pair @t488 @t534) @t11)))))))))) % 5.03/5.28 (assume @p422 (forall @t6 (exists @t20 (forall @t90 (= @t203 (and @t117 @t463)))))) % 5.03/5.28 (assume @p423 (forall @t51 (=> @t537 (exists @t143 (forall @t141 (= @t175 (and (tptp.in @t131 @t536) @t535))))))) % 5.03/5.28 (assume @p424 (forall @t15 (=> @t37 (exists @t90 (forall @t143 (= @t142 (and (tptp.in @t115 @t538) (exists @t141 (and @t514 @t433 @t147))))))))) % 5.03/5.28 (assume @p425 (forall @t15 (=> @t445 (=> (and (forall @t290 (=> (and @t117 @t443 @t439) @t433)) (forall @t90 (not (and @t117 (forall @t143 (not (exists @t432 (and (= @t45 @t429) @t493 @t492)))))))) (exists @t90 (and @t69 @t47 @t262 (forall @t143 (=> @t207 (exists @t483 (and (= @t115 @t479) (tptp.in @t282 @t479) (forall @t482 (=> @t481 (tptp.in (tptp.ordered_pair @t282 @t477) @t11))))))))))))) % 5.03/5.28 (assume @p426 (forall @t6 (=> (and (forall @t181 (=> (and @t12 @t447 @t446) @t116)) (forall @t20 (not (and @t12 (forall @t90 (not @t447)))))) @t545))) % 5.03/5.28 (assume @p427 (forall @t15 (=> @t461 (=> (and (forall @t290 (=> (and @t457 @t459 @t456) @t433)) (forall @t90 (not (and @t457 @t547)))) (exists @t90 (and @t69 @t47 (= @t261 @t453) (forall @t143 (=> @t454 @t546)))))))) % 5.03/5.28 (assume @p428 (forall @t15 (=> @t461 (=> (and (forall @t290 (=> (and @t203 @t459 @t456) @t433)) (forall @t90 (not (and @t203 @t547)))) (exists @t90 (and @t69 @t47 (= @t261 @t11) (forall @t143 (=> @t134 @t546)))))))) % 5.03/5.28 (assume @p429 (=> (forall @t6 (=> @t40 (=> (forall @t20 (=> @t37 (=> @t12 (=> (tptp.in @t11 tptp.omega) (forall @t90 (=> (tptp.element @t45 (tptp.powerset @t329)) (not (and @t247 (forall @t143 (not (and @t142 (forall @t141 (=> (and (tptp.in @t131 @t45) (tptp.subset @t115 @t131)) @t507))))))))))))) (=> @t548 (forall @t288 (=> (tptp.element @t232 @t292) @t513)))))) (forall @t6 (=> @t40 (=> @t548 (forall @t437 (=> (tptp.element @t434 @t292) (not (and (not (= @t434 tptp.empty_set)) (forall @t432 (not (and @t500 (forall @t431 (=> (and (tptp.in @t428 @t434) (tptp.subset @t429 @t428)) (= @t428 @t429))))))))))))))) % 5.03/5.28 (assume @p430 (forall @t6 @t545)) % 5.03/5.28 (assume @p431 (forall @t15 (=> @t375 (exists @t90 (and @t237 (forall @t143 (=> @t549 (= @t142 @t540)))))))) % 5.03/5.28 (assume @p432 (forall @t15 (=> @t518 (exists @t90 (and @t237 (forall @t143 (=> @t549 (= @t142 @t517)))))))) % 5.03/5.28 (assume @p433 (forall @t15 (=> @t285 (tptp.disjoint @t11 @t1)))) % 5.03/5.28 (assume @p434 (forall @t15 (=> @t263 (tptp.equipotent @t11 @t1)))) % 5.03/5.28 (assume @p435 (forall @t6 (tptp.in @t1 @t197))) % 5.03/5.28 (assume @p436 (forall @t15 (=> @t293 (and @t551 (not (and (not @t550) @t184)))))) % 5.03/5.28 (assume @p437 (forall @t176 (not (and (= @t96 (tptp.unordered_pair @t45 @t115)) (not @t401) (not @t399))))) % 5.03/5.28 (assume @p438 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t45))) (and @t14 (tptp.in @t1 @t260)))))) % 5.03/5.28 (assume @p439 (forall @t15 (=> @t123 (tptp.subset @t552 @t1)))) % 5.03/5.28 (assume @p440 (forall @t15 (=> @t123 (tptp.subset @t148 @t11)))) % 5.03/5.28 (assume @p441 (forall @t15 (=> @t123 (tptp.subset @t552 @t178)))) % 5.03/5.28 (assume @p442 (forall @t51 (=> @t125 (and (tptp.subset @t495 @t533) (tptp.subset (tptp.cartesian_product2 @t45 @t1) (tptp.cartesian_product2 @t45 @t11)))))) % 5.03/5.28 (assume @p443 (forall @t15 (=> @t123 (= @t552 (tptp.set_intersection2 @t178 @t1))))) % 5.03/5.28 (assume @p444 (forall @t176 (=> (and @t125 @t215) (tptp.subset @t495 (tptp.cartesian_product2 @t11 @t115))))) % 5.03/5.28 (assume @p445 (forall @t15 (=> @t293 (=> @t222 (= @t553 (tptp.subset_complement @t1 @t331)))))) % 5.03/5.28 (assume @p446 (forall @t51 (=> @t186 (and (tptp.subset @t261 @t1) (tptp.subset @t260 @t11))))) % 5.03/5.28 (assume @p447 (forall @t15 (=> @t293 (=> @t222 (= @t554 (tptp.subset_complement @t1 @t334)))))) % 5.03/5.28 (assume @p448 (forall @t15 (=> @t125 (= @t98 @t11)))) % 5.03/5.28 (assume @p449 (forall @t6 (exists @t20 (and @t14 @t557 (forall @t90 (=> @t203 (tptp.in @t556 @t11))) @t555)))) % 5.03/5.28 (assume @p450 (forall @t6 (=> @t174 (= @t239 (forall @t20 (=> @t202 (not (and (tptp.centered @t11) @t230 (= @t558 tptp.empty_set))))))))) % 5.03/5.28 (assume @p451 (forall @t15 (=> (and @t125 @t74) @t41))) % 5.03/5.28 (assume @p452 (forall @t6 (=> @t129 (forall @t20 (=> @t202 (= (tptp.finite @t453) @t74)))))) % 5.03/5.28 (assume @p453 (forall @t51 (=> @t69 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t45) @t11) (tptp.relation_rng_restriction @t1 @t559))))) % 5.03/5.28 (assume @p454 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_image @t45 @t11)) (exists @t143 (and (tptp.in @t115 @t261) (tptp.in (tptp.ordered_pair @t115 @t1) @t45) @t134)))))) % 5.03/5.28 (assume @p455 (forall @t15 (=> @t123 (tptp.subset @t560 @t178)))) % 5.03/5.28 (assume @p456 (forall @t15 (=> @t391 (tptp.subset @t562 @t1)))) % 5.03/5.28 (assume @p457 (forall @t15 (=> @t123 (= @t560 (tptp.relation_image @t11 @t563))))) % 5.03/5.28 (assume @p458 (forall @t15 (=> @t123 (=> (tptp.subset @t1 @t177) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t560)))))) % 5.03/5.28 (assume @p459 (forall @t6 (=> @t67 (= (tptp.relation_image @t1 @t140) @t266)))) % 5.03/5.28 (assume @p460 (forall @t15 (=> @t391 (=> @t564 (= @t562 @t1))))) % 5.03/5.28 (assume @p461 (forall @t176 (=> @t567 (=> (tptp.subset @t566 @t11) @t565)))) % 5.03/5.28 (assume @p462 (forall @t6 (=> @t129 (forall @t20 (=> @t162 (= (tptp.subset_intersection2 @t3 @t11 @t245) @t11)))))) % 5.03/5.28 (assume @p463 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t568 (tptp.relation_image @t11 @t266))))))) % 5.03/5.28 (assume @p464 (forall @t51 (=> @t69 (= (tptp.in @t1 @t569) (exists @t143 (and (tptp.in @t115 @t260) (tptp.in (tptp.ordered_pair @t1 @t115) @t45) @t134)))))) % 5.03/5.28 (assume @p465 (forall @t15 (=> @t123 (tptp.subset @t561 @t177)))) % 5.03/5.28 (assume @p466 (forall @t176 (=> @t567 (=> @t125 @t565)))) % 5.03/5.28 (assume @p467 (forall @t6 (=> @t163 (forall @t20 (=> @t202 (= @t230 (tptp.open_subsets @t453 @t1))))))) % 5.03/5.28 (assume @p468 (forall @t51 (=> @t69 (= (tptp.in @t1 @t570) (and @t414 (tptp.in @t1 @t278)))))) % 5.03/5.28 (assume @p469 (forall @t15 (=> @t123 (not (and @t208 @t564 (= @t561 tptp.empty_set)))))) % 5.03/5.28 (assume @p470 (forall @t51 (=> @t69 (=> @t125 (tptp.subset (tptp.relation_inverse_image @t45 @t1) @t569))))) % 5.03/5.28 (assume @p471 (forall @t15 (=> @t391 (=> @t41 (tptp.finite @t560))))) % 5.03/5.28 (assume @p472 (forall @t6 (=> @t129 (forall @t20 (=> @t162 (= @t210 @t276)))))) % 5.03/5.28 (assume @p473 (forall @t6 (=> @t163 (forall @t20 (=> @t202 (= @t213 (tptp.closed_subsets @t453 @t1))))))) % 5.03/5.28 (assume @p474 (forall @t15 (=> @t123 (= @t571 (tptp.relation_dom_restriction @t148 @t1))))) % 5.03/5.28 (assume @p475 (forall @t15 (tptp.subset @t105 @t1))) % 5.03/5.28 (assume @p476 (forall @t6 (=> @t41 (forall @t20 (=> @t293 (not (and @t222 (forall @t90 (not (and @t203 (forall @t143 (=> (and @t134 @t215) @t512)))))))))))) % 5.03/5.28 (assume @p477 (forall @t15 (=> @t123 (= @t571 (tptp.relation_rng_restriction @t1 @t572))))) % 5.03/5.28 (assume @p478 (forall @t51 (=> @t69 (=> (tptp.in @t1 (tptp.relation_field @t570)) (and @t574 @t14))))) % 5.03/5.28 (assume @p479 (forall @t51 (=> (and @t125 @t575) (tptp.subset @t1 @t419)))) % 5.03/5.28 (assume @p480 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 5.03/5.28 (assume @p481 (forall @t15 (=> @t578 (forall @t90 (=> @t577 (and (= (tptp.join @t189 @t11 @t45) @t418) (= (tptp.meet @t189 @t11 @t45) @t419))))))) % 5.03/5.28 (assume @p482 (forall @t15 (=> @t14 @t579))) % 5.03/5.28 (assume @p483 (forall @t51 (=> (and @t125 @t486) @t575))) % 5.03/5.28 (assume @p484 (= @t487 (tptp.singleton tptp.empty_set))) % 5.03/5.28 (assume @p485 (forall @t51 (=> @t69 (=> @t581 (and @t580 (tptp.in @t11 @t260)))))) % 5.03/5.28 (assume @p486 (forall @t15 (=> @t123 (and (tptp.subset @t582 @t216) (tptp.subset @t582 @t1))))) % 5.03/5.28 (assume @p487 (forall @t15 (=> @t391 (forall @t90 (=> @t284 (= @t585 (and @t580 (tptp.in @t583 @t177)))))))) % 5.03/5.28 (assume @p488 (forall @t176 (=> @t587 (forall @t141 (=> (and (tptp.relation @t131) (tptp.function @t131)) (=> @t117 (or @t184 (= (tptp.apply (tptp.relation_composition @t115 @t131) @t45) (tptp.apply @t131 @t586))))))))) % 5.03/5.28 (assume @p489 (forall @t6 (=> @t64 (forall @t20 (=> @t37 (=> @t17 @t14)))))) % 5.03/5.28 (assume @p490 (forall @t6 (=> @t67 (tptp.subset @t1 (tptp.cartesian_product2 @t140 @t266))))) % 5.03/5.28 (assume @p491 (forall @t51 (=> @t69 (tptp.subset (tptp.fiber (tptp.relation_restriction @t45 @t1) @t11) (tptp.fiber @t45 @t11))))) % 5.03/5.28 (assume @p492 (forall @t15 (=> @t391 (forall @t90 (=> @t284 (=> @t585 (= (tptp.apply @t584 @t1) (tptp.apply @t11 @t583)))))))) % 5.03/5.28 (assume @p493 (forall @t6 (=> @t129 (forall @t20 (=> @t162 (= (tptp.subset_difference @t3 @t245 @t276) @t11)))))) % 5.03/5.28 (assume @p494 (forall @t51 (=> (tptp.relation_of2_as_subset @t45 @t11 @t1) (= (forall @t143 (not (and @t134 (forall @t141 (not @t135))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t45) @t11))))) % 5.03/5.28 (assume @p495 (forall @t15 (=> @t123 (=> @t87 (tptp.reflexive @t571))))) % 5.03/5.28 (assume @p496 (forall @t15 (=> @t391 (forall @t90 (=> @t284 (=> (tptp.in @t1 @t177) (= (tptp.apply (tptp.relation_composition @t11 @t45) @t1) (tptp.apply @t45 (tptp.apply @t11 @t1))))))))) % 5.03/5.28 (assume @p497 (forall @t6 (=> (and @t59 @t55 @t53 @t10) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (tptp.below @t1 @t106 @t11)))))))) % 5.03/5.28 (assume @p498 (forall @t15 (=> @t37 (=> @t14 @t40)))) % 5.03/5.28 (assume @p499 (forall @t51 (=> @t186 (= (forall @t143 (not (and @t134 (forall @t141 (not (tptp.in @t164 @t45)))))) (= @t330 @t11))))) % 5.03/5.28 (assume @p500 (forall @t15 (=> @t123 (=> @t588 (tptp.connected @t571))))) % 5.03/5.28 (assume @p501 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (not (and @t407 @t294 @t13))))))) % 5.03/5.28 (assume @p502 (forall @t15 (=> @t123 (=> @t384 (tptp.transitive @t571))))) % 5.03/5.28 (assume @p503 (forall @t6 (=> (and @t275 @t5) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (=> (and @t296 (tptp.related @t1 @t45 @t11)) @t193)))))))) % 5.03/5.28 (assume @p504 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> @t125 (and (tptp.subset @t140 @t177) (tptp.subset @t266 @t178)))))))) % 5.03/5.28 (assume @p505 (forall @t15 (=> @t123 (=> @t385 (tptp.antisymmetric @t571))))) % 5.03/5.28 (assume @p506 (forall @t15 (=> @t123 (=> @t591 (and @t590 @t589))))) % 5.03/5.28 (assume @p507 (forall @t6 (=> @t146 (=> (tptp.finite @t140) (tptp.finite @t266))))) % 5.03/5.28 (assume @p508 (forall @t6 (=> @t373 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (=> (and @t241 (tptp.below @t1 @t45 @t11)) @t193)))))))) % 5.03/5.28 (assume @p509 (forall @t6 (=> (and @t268 @t5) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (forall @t143 (=> @t166 (=> (and @t296 @t287) (tptp.related @t1 @t11 @t115))))))))))) % 5.03/5.28 (assume @p510 (forall @t6 (exists @t20 (and @t123 @t591)))) % 5.03/5.28 (assume @p511 (forall @t51 (=> @t125 (tptp.subset (tptp.set_intersection2 @t1 @t45) @t419)))) % 5.03/5.28 (assume @p512 (forall @t15 (=> @t398 (forall @t90 (=> @t397 (= (tptp.latt_set_smaller @t11 @t45 @t1) (tptp.relstr_element_smaller @t593 @t1 @t592))))))) % 5.03/5.28 (assume @p513 (forall @t6 (=> @t94 (not (and (forall @t20 (not (and @t12 @t184))) (forall @t20 (=> @t391 (not (and @t544 (forall @t90 (=> @t117 (tptp.in @t543 @t45)))))))))))) % 5.03/5.28 (assume @p514 (forall @t15 (=> @t125 (= @t105 @t1)))) % 5.03/5.28 (assume @p515 (forall @t15 (=> @t398 (forall @t90 (=> @t595 (= (tptp.relstr_element_smaller @t593 @t1 @t45) (tptp.latt_set_smaller @t11 @t594 @t1))))))) % 5.03/5.28 (assume @p516 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (= @t277 @t386)))))) % 5.03/5.28 (assume @p517 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 5.03/5.28 (assume @p518 (forall @t15 (=> @t578 (forall @t90 (=> @t577 (= (tptp.below @t189 @t11 @t45) @t486)))))) % 5.03/5.28 (assume @p519 @t597) % 5.03/5.28 (assume @p520 (forall @t15 (=> (forall @t90 (= @t117 @t203)) @t126))) % 5.03/5.28 (assume @p521 (forall @t6 (tptp.reflexive @t217))) % 5.03/5.28 (assume @p522 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 5.03/5.28 (assume @p523 (forall @t15 (=> @t398 (forall @t90 (=> @t397 (= (tptp.latt_element_smaller @t11 @t45 @t1) (tptp.relstr_set_smaller @t593 @t1 @t592))))))) % 5.03/5.28 (assume @p524 (forall @t51 (=> @t69 (=> @t581 (and @t574 (tptp.in @t11 @t573)))))) % 5.03/5.28 (assume @p525 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (= @t270 @t390)))))) % 5.03/5.28 (assume @p526 (forall @t15 (=> @t398 (forall @t90 (=> @t595 (= (tptp.relstr_set_smaller @t593 @t1 @t45) (tptp.latt_element_smaller @t11 @t594 @t1))))))) % 5.03/5.28 (assume @p527 (forall @t6 (=> (forall @t20 (=> @t12 (and @t37 @t124))) @t40))) % 5.03/5.28 (assume @p528 (forall @t15 (=> @t123 (=> @t598 (tptp.well_founded_relation @t571))))) % 5.03/5.28 (assume @p529 (forall @t6 (=> @t225 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t45) @t286) @t425)))))))) % 5.03/5.28 (assume @p530 (forall @t15 (=> @t37 (not (and @t125 @t208 (forall @t90 (=> @t463 (not (and @t117 (forall @t143 (=> @t470 (=> @t207 (tptp.ordinal_subset @t45 @t115))))))))))))) % 5.03/5.28 (assume @p531 (forall @t15 (=> @t123 (=> @t408 @t589)))) % 5.03/5.28 (assume @p532 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (= @t14 (tptp.ordinal_subset @t197 @t11))))))) % 5.03/5.28 (assume @p533 (forall @t51 (=> @t125 (tptp.subset (tptp.set_difference @t1 @t45) @t421)))) % 5.03/5.28 (assume @p534 (forall @t176 (=> (= @t272 @t118) @t402))) % 5.03/5.28 (assume @p535 (forall @t15 (=> @t391 (= @t122 (and @t544 (forall @t90 (=> @t117 (= @t543 @t45)))))))) % 5.03/5.28 (assume @p536 (forall @t6 (=> @t219 (forall @t20 (=> @t101 (forall @t90 (= (= @t11 (tptp.meet_of_latt_set @t1 @t45)) (and @t167 (forall @t143 (=> @t166 (=> (tptp.latt_set_smaller @t1 @t115 @t45) (tptp.below_refl @t1 @t115 @t11)))))))))))) % 5.03/5.28 (assume @p537 @t601) % 5.03/5.28 (assume @p538 (forall @t15 (tptp.subset @t264 @t1))) % 5.03/5.28 (assume @p539 (forall @t6 (=> @t67 (and (= @t266 (tptp.relation_dom @t280)) (= @t140 (tptp.relation_rng @t280)))))) % 5.03/5.28 (assume @p540 (forall @t51 (= (tptp.subset @t96 @t45) (and @t414 @t244)))) % 5.03/5.28 (assume @p541 (forall @t15 (=> @t123 (=> (and @t408 (tptp.subset @t1 @t216)) @t590)))) % 5.03/5.28 (assume @p542 (forall @t15 (= @t602 @t98))) % 5.03/5.28 (assume @p543 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 5.03/5.28 (assume @p544 (forall @t6 (and (tptp.lower_bounded_semilattstr @t189) (= (tptp.bottom_of_semilattstr @t189) tptp.empty_set)))) % 5.03/5.28 (assume @p545 (forall @t51 (not (and @t14 @t244 @t117)))) % 5.03/5.28 (assume @p546 (forall @t15 (= @t415 @t125))) % 5.03/5.28 (assume @p547 (forall @t6 (tptp.transitive @t217))) % 5.03/5.28 (assume @p548 (forall @t15 (and (not (and @t604 (forall @t90 (not @t603)))) (not (and (exists @t90 @t603) @t285))))) % 5.03/5.28 (assume @p549 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t183))) % 5.03/5.28 (assume @p550 (forall @t15 (= (tptp.set_difference @t98 @t11) @t264))) % 5.03/5.28 (assume @p551 (forall @t6 (=> @t40 (= @t269 (forall @t20 (=> @t37 (=> @t12 (tptp.in @t538 @t1)))))))) % 5.03/5.28 (assume @p552 (forall @t6 (=> @t40 (and (not (and (not @t269) (forall @t20 (=> @t37 (not @t605))))) (not (and (exists @t20 (and @t37 @t605)) @t269)))))) % 5.03/5.28 (assume @p553 (forall @t15 (=> @t33 (forall @t90 (=> @t110 (= @t607 (tptp.subset @t11 @t606))))))) % 5.03/5.28 (assume @p554 (forall @t6 (=> @t392 (forall @t20 (=> @t202 (=> @t229 (tptp.closed_subset @t558 @t1))))))) % 5.03/5.28 (assume @p555 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (tptp.subset @t608 @t140)))))) % 5.03/5.28 (assume @p556 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (tptp.subset @t211 @t11)))))) % 5.03/5.28 (assume @p557 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (forall @t90 (=> (tptp.in @t45 @t3) (= (tptp.in @t45 @t160) (forall @t143 (=> @t549 (=> @t609 @t206))))))))))) % 5.03/5.28 (assume @p558 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (tptp.subset @t568 @t178)))))) % 5.03/5.28 (assume @p559 (forall @t15 (=> @t125 (= @t11 @t602)))) % 5.03/5.28 (assume @p560 (forall @t176 (=> @t587 (=> @t222 (forall @t141 (= (tptp.in @t131 (tptp.relation_inverse_image @t115 @t45)) (and @t147 (tptp.in (tptp.apply @t115 @t131) @t45)))))))) % 5.03/5.28 (assume @p561 (forall @t6 (=> @t392 (forall @t20 (=> @t162 (exists @t90 (and @t237 (forall @t143 (=> @t549 (= @t142 @t609))) (= @t160 (tptp.meet_of_subsets @t3 @t45))))))))) % 5.03/5.28 (assume @p562 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> (tptp.subset @t266 @t177) (= @t608 @t140))))))) % 5.03/5.28 (assume @p563 (forall @t15 (=> @t293 @t551))) % 5.03/5.28 (assume @p564 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> (tptp.subset @t140 @t178) (= (tptp.relation_rng @t350) @t266))))))) % 5.03/5.28 (assume @p565 (forall @t15 (=> @t293 (=> @t222 (= (tptp.subset_difference @t1 @t257 @t331) @t553))))) % 5.03/5.28 (assume @p566 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (tptp.subset @t11 @t160)))))) % 5.03/5.28 (assume @p567 (forall @t15 (=> @t293 (=> @t222 (= @t554 (tptp.subset_difference @t1 @t257 @t334)))))) % 5.03/5.28 (assume @p568 (forall @t15 (= (tptp.set_difference @t1 @t264) @t105))) % 5.03/5.28 (assume @p569 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t284 (=> @t283 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t45)))))))))) % 5.03/5.28 (assume @p570 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 5.03/5.28 (assume @p571 (forall @t51 (=> (and @t14 @t610) (tptp.element @t1 @t45)))) % 5.03/5.28 (assume @p572 (forall @t6 (=> @t40 (tptp.connected @t217)))) % 5.03/5.28 (assume @p573 (forall @t15 (and (not (and @t604 (forall @t90 (not @t611)))) (not (and (exists @t90 @t611) @t285))))) % 5.03/5.28 (assume @p574 (forall @t6 (=> @t219 (and @t59 @t61 @t156 @t10 (= @t169 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 5.03/5.28 (assume @p575 (forall @t6 (=> @t208 (forall @t20 (=> @t33 (forall @t90 (=> @t314 (=> @t242 (tptp.in @t45 @t271))))))))) % 5.03/5.28 (assume @p576 (forall @t6 (=> @t392 (forall @t20 (=> @t162 @t396))))) % 5.03/5.28 (assume @p577 (forall @t6 (=> @t163 (forall @t20 (=> @t162 (and (=> @t277 @t612) (=> (and @t173 @t612) @t277))))))) % 5.03/5.28 (assume @p578 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t284 (=> @t283 (and (=> @t66 @t87) (=> @t68 @t384) (=> @t165 @t588) (=> @t150 @t385) (=> @t231 @t598)))))))))) % 5.03/5.28 (assume @p579 (forall @t6 (=> @t146 (=> @t75 (forall @t20 (=> @t391 (= (= @t11 @t295) (and (= @t177 @t266) (forall @t120 (and (=> @t613 @t265) (=> @t265 @t613))))))))))) % 5.03/5.28 (assume @p580 (forall @t51 (=> @t110 (not (and (tptp.in @t11 @t606) @t244))))) % 5.03/5.28 (assume @p581 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t284 (=> (and @t259 @t283) @t408)))))))) % 5.03/5.28 (assume @p582 (forall @t6 (=> @t146 (=> @t75 (and (= @t266 (tptp.relation_dom @t295)) (= @t140 (tptp.relation_rng @t295))))))) % 5.03/5.28 (assume @p583 (forall @t6 (=> @t392 (forall @t20 (=> (tptp.top_str @t11) (forall @t90 (=> @t161 (forall @t143 (=> (tptp.element @t115 (tptp.powerset @t188)) (and (=> (tptp.open_subset @t115 @t11) (= (tptp.interior @t11 @t115) @t115)) (=> (= @t171 @t45) @t212))))))))))) % 5.03/5.28 (assume @p584 (forall @t6 (=> @t67 (=> (forall @t138 @t411) @t183)))) % 5.03/5.28 (assume @p585 (forall @t15 (=> @t391 (=> (and @t85 (tptp.in @t1 @t178)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t614 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t614 @t11) @t1))))))) % 5.03/5.28 (assume @p586 (forall @t6 (=> @t174 (forall @t20 (=> @t162 (forall @t90 (=> @t100 (=> (and @t270 @t203) (tptp.point_neighbourhood @t11 @t1 @t45))))))))) % 5.03/5.28 (assume @p587 (forall @t51 (not (and @t14 @t610 @t93)))) % 5.03/5.28 (assume @p588 (forall @t6 (=> @t362 (forall @t20 (=> @t202 (not (and @t238 @t184))))))) % 5.03/5.28 (assume @p589 (forall @t6 (=> @t67 (= @t231 (tptp.is_well_founded_in @t1 @t149))))) % 5.03/5.28 (assume @p590 (forall @t6 (tptp.antisymmetric @t217))) % 5.03/5.28 (assume @p591 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 5.03/5.28 (assume @p592 (forall @t15 (not (and @t125 @t16)))) % 5.03/5.28 (assume @p593 (forall @t6 (=> @t146 (=> @t75 (tptp.one_to_one @t295))))) % 5.03/5.28 (assume @p594 (forall @t51 (=> (and @t125 @t607) (tptp.disjoint @t1 @t45)))) % 5.03/5.28 (assume @p595 (forall @t6 (=> @t67 (=> (or @t616 @t615) @t183)))) % 5.03/5.28 (assume @p596 (forall @t6 (=> @t67 (= @t616 @t615)))) % 5.03/5.28 (assume @p597 (forall @t15 (= (= (tptp.set_difference @t1 @t412) @t1) @t13))) % 5.03/5.28 (assume @p598 (forall @t15 (=> @t391 (forall @t90 (=> @t284 (= (= @t11 @t416) (and (= @t177 (tptp.set_intersection2 @t261 @t1)) (forall @t143 (=> (tptp.in @t115 @t177) (= (tptp.apply @t11 @t115) @t282)))))))))) % 5.03/5.28 (assume @p599 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t196))) % 5.03/5.28 (assume @p600 (forall @t6 (=> @t30 @t183))) % 5.03/5.28 (assume @p601 (forall @t176 (=> @t587 (=> @t117 (or @t184 (tptp.in @t586 @t566)))))) % 5.03/5.28 (assume @p602 (forall @t6 (=> @t40 (tptp.well_founded_relation @t217)))) % 5.03/5.28 (assume @p603 (forall @t15 (=> (tptp.subset @t196 @t412) @t126))) % 5.03/5.28 (assume @p604 (forall @t51 (=> @t284 (=> @t417 @t617)))) % 5.03/5.28 (assume @p605 (forall @t6 (and (= (tptp.relation_dom @t121) @t1) (= (tptp.relation_rng @t121) @t1)))) % 5.03/5.28 (assume @p606 (forall @t51 (=> @t284 (=> @t12 @t617)))) % 5.03/5.28 (assume @p607 (forall @t176 (=> @t490 (= (tptp.in @t272 (tptp.relation_composition (tptp.identity_relation @t45) @t115)) (and @t414 (tptp.in @t272 @t115)))))) % 5.03/5.28 (assume @p608 (forall @t15 (not (and @t14 @t91)))) % 5.03/5.28 (assume @p609 (forall @t6 (=> @t225 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t425 (tptp.related_reflexive @t224 @t240 (tptp.cast_to_el_of_LattPOSet @t1 @t45)))))))))) % 5.03/5.28 (assume @p610 (forall @t15 (and (= (tptp.pair_first @t272) @t1) (= (tptp.pair_second @t272) @t11)))) % 5.03/5.28 (assume @p611 (forall @t15 (not (and @t14 (forall @t90 (not (and @t203 (forall @t143 (not (and @t134 @t142)))))))))) % 5.03/5.28 (assume @p612 (forall @t6 (=> @t40 (tptp.well_ordering @t217)))) % 5.03/5.28 (assume @p613 (forall @t15 (tptp.subset @t1 @t98))) % 5.03/5.28 (assume @p614 (forall @t15 (= @t285 (= @t264 @t1)))) % 5.03/5.28 (assume @p615 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_dom @t559)) (and @t14 @t580))))) % 5.03/5.28 (assume @p616 (forall @t15 (=> @t123 (tptp.subset @t572 @t11)))) % 5.03/5.28 (assume @p617 (forall @t15 (not (and @t30 @t294 @t91)))) % 5.03/5.28 (assume @p618 (forall @t51 (=> @t284 (= @t581 (and @t580 (= @t11 @t583)))))) % 5.03/5.28 (assume @p619 (forall @t6 (=> @t67 (= (tptp.well_orders @t1 @t149) @t259)))) % 5.03/5.28 (assume @p620 (forall @t51 (=> (and @t125 @t236) (tptp.subset (tptp.set_union2 @t1 @t45) @t11)))) % 5.03/5.28 (assume @p621 (forall @t51 (=> @t618 @t126))) % 5.03/5.28 (assume @p622 (forall @t15 (=> @t123 (= (tptp.relation_dom @t572) @t563)))) % 5.03/5.28 (assume @p623 @t624) % 5.03/5.28 (assume @p624 (forall @t15 (=> @t123 (= @t572 (tptp.relation_composition @t121 @t11))))) % 5.03/5.28 (assume @p625 (forall @t15 (=> @t123 (tptp.subset (tptp.relation_rng @t572) @t178)))) % 5.03/5.28 (assume @p626 (forall @t6 (= (tptp.union @t32) @t1))) % 5.03/5.28 (assume @p627 (forall @t176 (=> @t587 (=> @t486 (or (and @t184 @t208) (and @t319 (tptp.quasi_total @t115 @t1 @t45) (tptp.relation_of2_as_subset @t115 @t1 @t45))))))) % 5.03/5.28 (assume @p628 (forall @t6 (exists @t20 (and @t14 @t557 (forall @t90 (not (and @t203 (forall @t143 (not (and @t134 (forall @t141 (=> (tptp.subset @t131 @t45) @t175)))))))) @t555)))) % 5.03/5.28 (assume @p629 (forall @t51 (=> @t618 @t193))) % 5.03/5.28 (step @p630 :rule aci_norm :args ((= @t631 @t629))) % 5.03/5.28 (step @p631 :rule cong :premises (@p630) :args (@t633)) % 5.03/5.28 (step @p632 :rule quant-merge-prenex :args ((= (forall @t6 @t635) @t633))) % 5.03/5.28 (step @p633 :rule alpha_equiv :args (@t636 (@list @t625) (@list @t11))) % 5.03/5.28 (step @p634 :rule refl :args (@t628)) % 5.03/5.28 (step @p635 :rule refl :args (@t58)) % 5.03/5.28 (step @p636 :rule nary_cong :premises (@p635 @p634 @p633) :args (@t637)) % 5.03/5.28 (step @p637 :rule quant-miniscope-or :args ((= @t635 @t637))) % 5.03/5.28 (step @p638 :rule trans :premises (@p637 @p636)) % 5.03/5.28 (step @p639 :rule symm :premises (@p638)) % 5.03/5.28 (step @p640 :rule cong :premises (@p639) :args ((forall @t6 @t640))) % 5.03/5.28 (step @p641 :rule trans :premises (@p640 @p632)) % 5.03/5.28 (step @p642 :rule trans :premises (@p641 @p631)) % 5.03/5.28 (step @p643 :rule aci_norm :args ((= (or @t641 @t639) @t640))) % 5.03/5.28 (step @p644 :rule refl :args (@t639)) % 5.03/5.28 (step @p645 :rule bool-double-not-elim :args (@t58)) % 5.03/5.28 (step @p646 :rule nary_cong :premises (@p645 @p634) :args ((or (not @t59) @t628))) % 5.03/5.28 (step @p647 :rule bool-and-de-morgan :args (@t59 @t129 true)) % 5.03/5.28 (step @p648 :rule trans :premises (@p647 @p646)) % 5.03/5.28 (step @p649 :rule nary_cong :premises (@p648 @p644) :args ((or @t642 @t639))) % 5.03/5.28 (step @p650 :rule trans :premises (@p649 @p643)) % 5.03/5.28 (step @p651 :rule bool-impl-elim :args (@t362 @t639)) % 5.03/5.28 (step @p652 :rule trans :premises (@p651 @p650)) % 5.03/5.28 (step @p653 :rule cong :premises (@p652) :args ((forall @t6 (=> @t362 @t639)))) % 5.03/5.28 (step @p654 :rule trans :premises (@p653 @p642)) % 5.03/5.28 (step @p655 :rule bool-impl-elim :args (@t101 @t638)) % 5.03/5.28 (step @p656 :rule cong :premises (@p655) :args ((forall @t20 (=> @t101 @t638)))) % 5.03/5.28 (step @p657 :rule eq-symm :args (@t619 @t11)) % 5.03/5.28 (step @p658 :rule refl :args (@t101)) % 5.03/5.28 (step @p659 :rule cong :premises (@p658 @p657) :args (@t620)) % 5.03/5.28 (step @p660 :rule cong :premises (@p659) :args (@t621)) % 5.03/5.28 (step @p661 :rule trans :premises (@p660 @p656)) % 5.03/5.28 (step @p662 :rule refl :args (@t362)) % 5.03/5.28 (step @p663 :rule cong :premises (@p662 @p661) :args (@t622)) % 5.03/5.28 (step @p664 :rule cong :premises (@p663) :args (@t623)) % 5.03/5.28 (step @p665 :rule trans :premises (@p664 @p654)) % 5.03/5.28 (step @p666 :rule cong :premises (@p665) :args (@t624)) % 5.03/5.28 (step @p667 :rule eq_resolve :premises (@p623 @p666)) % 5.03/5.28 (step @p668 :rule skolemize :premises (@p667)) % 5.03/5.28 (step @p669 :rule cnf_or_neg :args (@t655 3)) % 5.03/5.28 (step @p670 :rule chain_m_resolution :premises (@p669 @p668) :args ((not @t649) @t656 @t657)) % 5.03/5.28 (step @p671 :rule bool-impl-elim :args (@t129 @t128)) % 5.03/5.28 (step @p672 :rule cong :premises (@p671) :args (@t130)) % 5.03/5.28 (step @p673 :rule eq_resolve :premises (@p53 @p672)) % 5.03/5.28 (step @p674 :rule instantiate :premises (@p673) :args (@t658)) % 5.03/5.28 (step @p675 :rule bool-double-not-elim :args (@t652)) % 5.03/5.28 (step @p676 :rule refl :args (@t655)) % 5.03/5.28 (step @p677 :rule nary_cong :premises (@p676 @p675) :args ((or @t655 (not @t653)))) % 5.03/5.28 (step @p678 :rule cnf_or_neg :args (@t655 1)) % 5.03/5.28 (step @p679 :rule eq_resolve :premises (@p678 @p677)) % 5.03/5.28 (step @p680 :rule reordering :premises (@p679) :args ((or @t652 @t655))) % 5.03/5.28 (step @p681 :rule chain_m_resolution :premises (@p680 @p668) :args (@t652 @t656 @t657)) % 5.03/5.28 (step @p682 :rule cnf_or_pos :args (@t661)) % 5.03/5.28 (step @p683 :rule reordering :premises (@p682) :args ((or @t653 @t660 (not @t661)))) % 5.03/5.28 (step @p684 :rule chain_m_resolution :premises (@p683 @p681 @p674) :args (@t660 @t662 (@list @t652 @t661))) % 5.03/5.28 (step @p685 :rule eq-symm :args (@t332 @t121)) % 5.03/5.28 (step @p686 :rule cong :premises (@p685) :args (@t420)) % 5.03/5.28 (step @p687 :rule eq_resolve :premises (@p376 @p686)) % 5.03/5.28 (step @p688 :rule eq-symm :args (@t663 @t659)) % 5.03/5.28 (step @p689 :rule refl :args (@t664)) % 5.03/5.28 (step @p690 :rule cong :premises (@p689 @p688) :args ((=> @t664 @t665))) % 5.03/5.28 (assume-push @p843 @t664) % 5.03/5.28 (step @p692 :rule instantiate :premises (@p687) :args (@t666)) % 5.03/5.28 (step-pop @p844 :rule scope :premises (@p692)) % 5.03/5.28 (step @p693 :rule process_scope :premises (@p844) :args (@t665)) % 5.03/5.28 (step @p695 :rule eq_resolve :premises (@p693 @p690)) % 5.03/5.28 (step @p696 :rule implies_elim :premises (@p695)) % 5.03/5.28 (step @p697 :rule chain_m_resolution :premises (@p696 @p687) :args (@t667 @t668 (@list @t664))) % 5.03/5.28 (step @p698 :rule bool-impl-elim :args (@t12 @t669)) % 5.03/5.28 (step @p699 :rule cong :premises (@p698) :args ((forall @t15 (=> @t12 @t669)))) % 5.03/5.28 (step @p700 :rule eq-symm :args (@t599 @t11)) % 5.03/5.28 (step @p701 :rule refl :args (@t12)) % 5.03/5.28 (step @p702 :rule cong :premises (@p701 @p700) :args (@t600)) % 5.03/5.28 (step @p703 :rule cong :premises (@p702) :args (@t601)) % 5.03/5.28 (step @p704 :rule trans :premises (@p703 @p699)) % 5.03/5.28 (step @p705 :rule eq_resolve :premises (@p537 @p704)) % 5.03/5.28 (step @p706 :rule instantiate :premises (@p705) :args ((@list @t647 @t644))) % 5.03/5.28 (step @p707 :rule aci_norm :args ((= (or @t670 @t596) (or @t670 @t91 @t14)))) % 5.03/5.28 (step @p708 :rule bool-impl-elim :args (@t579 @t596)) % 5.03/5.28 (step @p709 :rule trans :premises (@p708 @p707)) % 5.03/5.28 (step @p710 :rule cong :premises (@p709) :args (@t597)) % 5.03/5.28 (step @p711 :rule eq_resolve :premises (@p519 @p710)) % 5.03/5.28 (step @p712 :rule instantiate :premises (@p711) :args ((@list @t644 @t647))) % 5.03/5.28 (step @p713 :rule aci_norm :args ((= (or @t641 @t361) (or @t58 @t628 @t361)))) % 5.03/5.28 (step @p714 :rule refl :args (@t361)) % 5.03/5.28 (step @p715 :rule nary_cong :premises (@p648 @p714) :args ((or @t642 @t361))) % 5.03/5.28 (step @p716 :rule trans :premises (@p715 @p713)) % 5.03/5.28 (step @p717 :rule bool-impl-elim :args (@t362 @t361)) % 5.03/5.28 (step @p718 :rule trans :premises (@p717 @p716)) % 5.03/5.28 (step @p719 :rule cong :premises (@p718) :args (@t363)) % 5.03/5.28 (step @p720 :rule eq_resolve :premises (@p238 @p719)) % 5.03/5.28 (step @p721 :rule instantiate :premises (@p720) :args (@t658)) % 5.03/5.28 (step @p722 :rule cnf_or_neg :args (@t655 0)) % 5.03/5.28 (step @p723 :rule chain_m_resolution :premises (@p722 @p668) :args ((not @t654) @t656 @t657)) % 5.03/5.28 (step @p724 :rule cnf_or_pos :args (@t673)) % 5.03/5.28 (step @p725 :rule reordering :premises (@p724) :args ((or @t654 @t653 @t672 (not @t673)))) % 5.03/5.28 (step @p726 :rule chain_m_resolution :premises (@p725 @p723 @p681 @p721) :args (@t672 (@list true false false) (@list @t654 @t652 @t673))) % 5.03/5.28 (step @p727 :rule bool-double-not-elim :args (@t650)) % 5.03/5.28 (step @p728 :rule nary_cong :premises (@p676 @p727) :args ((or @t655 (not @t651)))) % 5.03/5.28 (step @p729 :rule cnf_or_neg :args (@t655 2)) % 5.03/5.28 (step @p730 :rule eq_resolve :premises (@p729 @p728)) % 5.03/5.28 (step @p731 :rule reordering :premises (@p730) :args ((or @t650 @t655))) % 5.03/5.28 (step @p732 :rule chain_m_resolution :premises (@p731 @p668) :args (@t650 @t656 @t657)) % 5.03/5.28 (step @p733 :rule cnf_or_pos :args (@t675)) % 5.03/5.28 (step @p734 :rule reordering :premises (@p733) :args ((or @t651 @t671 @t674 (not @t675)))) % 5.03/5.28 (step @p735 :rule chain_m_resolution :premises (@p734 @p732 @p726 @p712) :args (@t674 (@list false true false) (@list @t650 @t671 @t675))) % 5.03/5.28 (step @p736 :rule cnf_or_pos :args (@t679)) % 5.03/5.28 (step @p737 :rule reordering :premises (@p736) :args ((or @t678 @t677 (not @t679)))) % 5.03/5.28 (step @p738 :rule chain_m_resolution :premises (@p737 @p735 @p706) :args (@t677 @t662 (@list @t674 @t679))) % 5.03/5.28 (step @p739 :rule aci_norm :args ((= (or (or @t30 @t684 @t683 @t682 @t681) @t680) @t685))) % 5.03/5.28 (step @p740 :rule refl :args (@t680)) % 5.03/5.28 (step @p741 :rule refl :args (@t681)) % 5.03/5.28 (step @p742 :rule refl :args (@t682)) % 5.03/5.28 (step @p743 :rule refl :args (@t683)) % 5.03/5.28 (step @p744 :rule refl :args (@t684)) % 5.03/5.28 (step @p745 :rule bool-double-not-elim :args (@t30)) % 5.03/5.28 (step @p746 :rule nary_cong :premises (@p745 @p744 @p743 @p742 @p741) :args (@t687)) % 5.03/5.28 (step @p747 :rule aci_norm :args ((= (or @t686 (or @t684 (or @t683 (or @t682 @t681)))) @t687))) % 5.03/5.28 (step @p748 :rule trans :premises (@p747 @p746)) % 5.03/5.28 (step @p749 :rule bool-and-de-morgan :args (@t50 @t340 true)) % 5.03/5.28 (step @p750 :rule nary_cong :premises (@p743 @p749) :args ((or @t683 (not (and @t50 @t340))))) % 5.03/5.28 (step @p751 :rule bool-and-de-morgan :args (@t46 @t50 (and @t340))) % 5.03/5.28 (step @p752 :rule trans :premises (@p751 @p750)) % 5.03/5.28 (step @p753 :rule nary_cong :premises (@p744 @p752) :args ((or @t684 (not (and @t46 @t50 @t340))))) % 5.03/5.28 (step @p754 :rule bool-and-de-morgan :args (@t47 @t46 (and @t50 @t340))) % 5.03/5.28 (step @p755 :rule trans :premises (@p754 @p753)) % 5.03/5.28 (step @p756 :rule refl :args (@t686)) % 5.03/5.28 (step @p757 :rule nary_cong :premises (@p756 @p755) :args ((or @t686 (not (and @t47 @t46 @t50 @t340))))) % 5.03/5.28 (step @p758 :rule bool-and-de-morgan :args (@t94 @t47 (and @t46 @t50 @t340))) % 5.03/5.28 (step @p759 :rule trans :premises (@p758 @p757)) % 5.03/5.28 (step @p760 :rule trans :premises (@p759 @p748)) % 5.03/5.28 (step @p761 :rule nary_cong :premises (@p760 @p740) :args ((or (not @t341) @t680))) % 5.03/5.28 (step @p762 :rule trans :premises (@p761 @p739)) % 5.03/5.28 (step @p763 :rule bool-impl-elim :args (@t341 @t680)) % 5.03/5.28 (step @p764 :rule trans :premises (@p763 @p762)) % 5.03/5.28 (step @p765 :rule cong :premises (@p764) :args ((forall @t176 (=> @t341 @t680)))) % 5.03/5.28 (step @p766 :rule eq-symm :args (@t339 @t282)) % 5.03/5.28 (step @p767 :rule refl :args (@t341)) % 5.03/5.28 (step @p768 :rule cong :premises (@p767 @p766) :args (@t422)) % 5.03/5.28 (step @p769 :rule cong :premises (@p768) :args (@t423)) % 5.03/5.28 (step @p770 :rule trans :premises (@p769 @p765)) % 5.03/5.28 (step @p771 :rule eq_resolve :premises (@p379 @p770)) % 5.03/5.28 (step @p772 :rule eq-symm :args (@t688 @t648)) % 5.03/5.28 (step @p773 :rule refl :args (@t651)) % 5.03/5.28 (step @p774 :rule refl :args (@t690)) % 5.03/5.28 (step @p775 :rule refl :args (@t692)) % 5.03/5.28 (step @p776 :rule refl :args (@t694)) % 5.03/5.28 (step @p777 :rule refl :args (@t671)) % 5.03/5.28 (step @p778 :rule nary_cong :premises (@p777 @p776 @p775 @p774 @p773 @p772) :args (@t695)) % 5.03/5.28 (step @p779 :rule refl :args (@t696)) % 5.03/5.28 (step @p780 :rule cong :premises (@p779 @p778) :args ((=> @t696 @t695))) % 5.03/5.28 (assume-push @p845 @t696) % 5.03/5.28 (step @p782 :rule instantiate :premises (@p771) :args ((@list @t647 @t647 @t646 @t644))) % 5.03/5.28 (step-pop @p846 :rule scope :premises (@p782)) % 5.03/5.28 (step @p783 :rule process_scope :premises (@p846) :args (@t695)) % 5.03/5.28 (step @p785 :rule eq_resolve :premises (@p783 @p780)) % 5.03/5.28 (step @p786 :rule implies_elim :premises (@p785)) % 5.03/5.28 (step @p787 :rule chain_m_resolution :premises (@p786 @p771) :args (@t698 @t668 (@list @t696))) % 5.03/5.28 (step @p788 :rule eq-symm :args (@t186 @t50)) % 5.03/5.28 (step @p789 :rule cong :premises (@p788) :args (@t424)) % 5.03/5.28 (step @p790 :rule eq_resolve :premises (@p380 @p789)) % 5.03/5.28 (step @p791 :rule eq-symm :args (@t689 @t699)) % 5.03/5.28 (step @p792 :rule refl :args (@t700)) % 5.03/5.28 (step @p793 :rule cong :premises (@p792 @p791) :args ((=> @t700 @t701))) % 5.03/5.28 (assume-push @p847 @t700) % 5.03/5.28 (step @p795 :rule instantiate :premises (@p790) :args ((@list @t647 @t647 @t646))) % 5.03/5.28 (step-pop @p848 :rule scope :premises (@p795)) % 5.03/5.28 (step @p796 :rule process_scope :premises (@p848) :args (@t701)) % 5.03/5.28 (step @p798 :rule eq_resolve :premises (@p796 @p793)) % 5.03/5.28 (step @p799 :rule implies_elim :premises (@p798)) % 5.03/5.28 (step @p800 :rule chain_m_resolution :premises (@p799 @p790) :args (@t702 @t668 (@list @t700))) % 5.03/5.28 (step @p801 :rule bool-impl-elim :args (@t129 @t336)) % 5.03/5.28 (step @p802 :rule cong :premises (@p801) :args (@t337)) % 5.03/5.28 (step @p803 :rule eq_resolve :premises (@p193 @p802)) % 5.03/5.28 (step @p804 :rule instantiate :premises (@p803) :args (@t658)) % 5.03/5.28 (step @p805 :rule cnf_or_pos :args (@t704)) % 5.03/5.28 (step @p806 :rule reordering :premises (@p805) :args ((or @t653 @t703 (not @t704)))) % 5.03/5.28 (step @p807 :rule chain_m_resolution :premises (@p806 @p681 @p804) :args (@t703 @t662 (@list @t652 @t704))) % 5.03/5.28 (step @p808 :rule cnf_and_pos :args (@t703 2)) % 5.03/5.28 (step @p809 :rule reordering :premises (@p808) :args ((or @t699 @t705))) % 5.03/5.28 (step @p810 :rule chain_m_resolution :premises (@p809 @p807) :args (@t699 @t668 @t706)) % 5.03/5.28 (step @p811 :rule cnf_equiv_pos1 :args (@t702)) % 5.03/5.28 (step @p812 :rule reordering :premises (@p811) :args ((or @t689 (not @t699) (not @t702)))) % 5.03/5.28 (step @p813 :rule chain_m_resolution :premises (@p812 @p810 @p800) :args (@t689 @t662 (@list @t699 @t702))) % 5.03/5.28 (step @p814 :rule cnf_and_pos :args (@t703 1)) % 5.03/5.28 (step @p815 :rule reordering :premises (@p814) :args ((or @t691 @t705))) % 5.03/5.28 (step @p816 :rule chain_m_resolution :premises (@p815 @p807) :args (@t691 @t668 @t706)) % 5.03/5.30 (step @p817 :rule cnf_and_pos :args (@t703 0)) % 5.03/5.30 (step @p818 :rule reordering :premises (@p817) :args ((or @t693 @t705))) % 5.03/5.30 (step @p819 :rule chain_m_resolution :premises (@p818 @p807) :args (@t693 @t668 @t706)) % 5.03/5.30 (step @p820 :rule cnf_or_pos :args (@t698)) % 5.03/5.30 (step @p821 :rule reordering :premises (@p820) :args ((or @t651 @t671 @t694 @t692 @t690 @t697 (not @t698)))) % 5.03/5.30 (step @p822 :rule chain_m_resolution :premises (@p821 @p732 @p726 @p819 @p816 @p813 @p787) :args (@t697 (@list false true false false false false) (@list @t650 @t671 @t693 @t691 @t689 @t698))) % 5.03/5.30 (assume-push @p849 @t660) % 5.03/5.30 (assume-push @p850 @t697) % 5.03/5.30 (assume-push @p851 @t667) % 5.03/5.30 (assume-push @p852 @t677) % 5.03/5.30 (step @p827 :rule symm :premises (@p822)) % 5.03/5.30 (step @p828 :rule refl :args (@t644)) % 5.03/5.30 (step @p829 :rule symm :premises (@p684)) % 5.03/5.30 (step @p692 :rule instantiate :premises (@p687) :args (@t666)) % 5.03/5.30 (step @p830 :rule trans :premises (@p692 @p829)) % 5.03/5.30 (step @p831 :rule cong :premises (@p830 @p828) :args (@t676)) % 5.03/5.30 (step @p832 :rule trans :premises (@p738 @p831 @p827)) % 5.03/5.30 (step-pop @p853 :rule scope :premises (@p832)) % 5.03/5.30 (step-pop @p854 :rule scope :premises (@p853)) % 5.03/5.30 (step-pop @p855 :rule scope :premises (@p854)) % 5.03/5.30 (step-pop @p856 :rule scope :premises (@p855)) % 5.03/5.30 (step @p833 :rule process_scope :premises (@p856) :args (@t649)) % 5.03/5.30 (step @p838 :rule implies_elim :premises (@p833)) % 5.03/5.30 (step @p839 :rule cnf_and_neg :args (@t707)) % 5.03/5.30 (step @p840 :rule resolution :premises (@p839 @p838) :args (true @t707)) % 5.03/5.30 (step @p841 :rule reordering :premises (@p840) :args ((or @t649 (not @t660) (not @t697) (not @t667) (not @t677)))) % 5.03/5.30 (step @p842 false :rule chain_m_resolution :premises (@p841 @p822 @p738 @p697 @p684 @p670) :args (false (@list false false false false true) (@list @t697 @t677 @t667 @t660 @t649))) % 5.03/5.30 ) % 5.03/5.30 % SZS output end Proof % 5.17/5.30 % cvc5 exiting %------------------------------------------------------------------------------