%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU342+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:51:27 AM UTC 2026 % Result : Theorem 48.87s 49.03s % Output : Proof 48.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU342+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:59:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.38/0.66 %----Proving TF0_NAR, FOF, or CNF % 48.87/49.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 48.87/49.03 --- Run --no-e-matching --full-saturate-quant at 6... % 48.87/49.03 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 48.87/49.03 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 48.87/49.03 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 48.87/49.03 % SZS status Theorem % 48.87/49.03 % SZS output start Proof % 48.87/49.03 ( % 48.87/49.03 (declare-sort $$unsorted 0) % 48.87/49.03 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.omega $$unsorted) % 48.87/49.03 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.lattice (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.natural (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.empty (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.transitive (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.function (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.finite (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.top_str (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.relation (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.centered (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.connected (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.empty_set $$unsorted) % 48.87/49.03 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 48.87/49.03 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 48.87/49.03 (define @t1 () (@var "A" $$unsorted)) % 48.87/49.03 (define @t2 () (@var "B" $$unsorted)) % 48.87/49.03 (define @t3 () (tptp.in @t2 @t1)) % 48.87/49.03 (define @t4 () (not @t3)) % 48.87/49.03 (define @t5 () (tptp.in @t1 @t2)) % 48.87/49.03 (define @t6 () (@list @t1 @t2)) % 48.87/49.03 (define @t7 () (tptp.proper_subset @t2 @t1)) % 48.87/49.03 (define @t8 () (tptp.proper_subset @t1 @t2)) % 48.87/49.03 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 48.87/49.03 (define @t10 () (tptp.element @t2 @t1)) % 48.87/49.03 (define @t11 () (@list @t2)) % 48.87/49.03 (define @t12 () (tptp.v1_membered @t1)) % 48.87/49.03 (define @t13 () (@list @t1)) % 48.87/49.03 (define @t14 () (tptp.v1_xreal_0 @t2)) % 48.87/49.03 (define @t15 () (tptp.v2_membered @t1)) % 48.87/49.03 (define @t16 () (tptp.v1_rat_1 @t2)) % 48.87/49.03 (define @t17 () (tptp.v3_membered @t1)) % 48.87/49.03 (define @t18 () (tptp.v1_int_1 @t2)) % 48.87/49.03 (define @t19 () (tptp.v4_membered @t1)) % 48.87/49.03 (define @t20 () (tptp.natural @t2)) % 48.87/49.03 (define @t21 () (tptp.v5_membered @t1)) % 48.87/49.03 (define @t22 () (tptp.empty @t1)) % 48.87/49.03 (define @t23 () (tptp.v1_membered @t2)) % 48.87/49.03 (define @t24 () (tptp.powerset @t1)) % 48.87/49.03 (define @t25 () (tptp.element @t2 @t24)) % 48.87/49.03 (define @t26 () (tptp.v2_membered @t2)) % 48.87/49.03 (define @t27 () (tptp.v3_membered @t2)) % 48.87/49.03 (define @t28 () (tptp.v4_membered @t2)) % 48.87/49.03 (define @t29 () (tptp.ordinal @t2)) % 48.87/49.03 (define @t30 () (tptp.epsilon_connected @t2)) % 48.87/49.03 (define @t31 () (tptp.epsilon_transitive @t2)) % 48.87/49.03 (define @t32 () (tptp.ordinal @t1)) % 48.87/49.03 (define @t33 () (tptp.finite @t1)) % 48.87/49.03 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 48.87/49.03 (define @t35 () (tptp.preboolean @t1)) % 48.87/49.03 (define @t36 () (tptp.function @t1)) % 48.87/49.03 (define @t37 () (tptp.join_absorbing @t1)) % 48.87/49.03 (define @t38 () (tptp.meet_absorbing @t1)) % 48.87/49.03 (define @t39 () (tptp.meet_commutative @t1)) % 48.87/49.03 (define @t40 () (tptp.join_commutative @t1)) % 48.87/49.03 (define @t41 () (tptp.empty_carrier @t1)) % 48.87/49.03 (define @t42 () (not @t41)) % 48.87/49.03 (define @t43 () (and @t42 @t40 (tptp.join_associative @t1) @t39 (tptp.meet_associative @t1) @t38 @t37)) % 48.87/49.03 (define @t44 () (tptp.lattice @t1)) % 48.87/49.03 (define @t45 () (and @t42 @t44)) % 48.87/49.03 (define @t46 () (=> @t45 @t43)) % 48.87/49.03 (define @t47 () (tptp.latt_str @t1)) % 48.87/49.03 (define @t48 () (forall @t13 (=> @t47 @t46))) % 48.87/49.03 (define @t49 () (tptp.epsilon_connected @t1)) % 48.87/49.03 (define @t50 () (tptp.epsilon_transitive @t1)) % 48.87/49.03 (define @t51 () (and @t50 @t49)) % 48.87/49.03 (define @t52 () (tptp.relation @t1)) % 48.87/49.03 (define @t53 () (@var "C" $$unsorted)) % 48.87/49.03 (define @t54 () (tptp.relation @t53)) % 48.87/49.03 (define @t55 () (tptp.cartesian_product2 @t1 @t2)) % 48.87/49.03 (define @t56 () (tptp.element @t53 (tptp.powerset @t55))) % 48.87/49.03 (define @t57 () (@list @t1 @t2 @t53)) % 48.87/49.03 (define @t58 () (tptp.natural @t1)) % 48.87/49.03 (define @t59 () (and @t50 @t49 @t32 @t58)) % 48.87/49.03 (define @t60 () (tptp.finite @t2)) % 48.87/49.03 (define @t61 () (tptp.one_to_one @t1)) % 48.87/49.03 (define @t62 () (and @t52 @t36 @t61)) % 48.87/49.03 (define @t63 () (and @t52 @t22 @t36)) % 48.87/49.03 (define @t64 () (and @t50 @t49 @t32)) % 48.87/49.03 (define @t65 () (tptp.unordered_pair @t1 @t2)) % 48.87/49.03 (define @t66 () (tptp.set_union2 @t2 @t1)) % 48.87/49.03 (define @t67 () (tptp.set_union2 @t1 @t2)) % 48.87/49.03 (define @t68 () (tptp.join_commut @t1 @t2 @t53)) % 48.87/49.03 (define @t69 () (tptp.the_carrier @t1)) % 48.87/49.03 (define @t70 () (tptp.element @t53 @t69)) % 48.87/49.03 (define @t71 () (tptp.element @t2 @t69)) % 48.87/49.03 (define @t72 () (tptp.join_semilatt_str @t1)) % 48.87/49.03 (define @t73 () (and @t42 @t40 @t72 @t71 @t70)) % 48.87/49.03 (define @t74 () (tptp.set_intersection2 @t2 @t1)) % 48.87/49.03 (define @t75 () (tptp.set_intersection2 @t1 @t2)) % 48.87/49.03 (define @t76 () (tptp.meet_commut @t1 @t2 @t53)) % 48.87/49.03 (define @t77 () (tptp.meet_semilatt_str @t1)) % 48.87/49.03 (define @t78 () (and @t42 @t39 @t77 @t71 @t70)) % 48.87/49.03 (define @t79 () (tptp.subset_intersection2 @t1 @t2 @t53)) % 48.87/49.03 (define @t80 () (tptp.element @t53 @t24)) % 48.87/49.03 (define @t81 () (and @t25 @t80)) % 48.87/49.03 (define @t82 () (tptp.ordinal_subset @t1 @t2)) % 48.87/49.03 (define @t83 () (and @t32 @t29)) % 48.87/49.03 (define @t84 () (@var "D" $$unsorted)) % 48.87/49.03 (define @t85 () (= @t53 @t84)) % 48.87/49.03 (define @t86 () (tptp.in @t53 @t1)) % 48.87/49.03 (define @t87 () (tptp.ordered_pair @t53 @t84)) % 48.87/49.03 (define @t88 () (tptp.in @t87 @t2)) % 48.87/49.03 (define @t89 () (@list @t53 @t84)) % 48.87/49.03 (define @t90 () (tptp.identity_relation @t1)) % 48.87/49.03 (define @t91 () (= @t2 @t90)) % 48.87/49.03 (define @t92 () (tptp.relation @t2)) % 48.87/49.03 (define @t93 () (tptp.subset @t2 @t1)) % 48.87/49.03 (define @t94 () (tptp.subset @t1 @t2)) % 48.87/49.03 (define @t95 () (= @t1 @t2)) % 48.87/49.03 (define @t96 () (@var "E" $$unsorted)) % 48.87/49.03 (define @t97 () (tptp.ordered_pair @t84 @t96)) % 48.87/49.03 (define @t98 () (tptp.in @t97 @t1)) % 48.87/49.03 (define @t99 () (tptp.in @t84 @t2)) % 48.87/49.03 (define @t100 () (tptp.in @t97 @t53)) % 48.87/49.03 (define @t101 () (@list @t84 @t96)) % 48.87/49.03 (define @t102 () (tptp.relation_dom_restriction @t1 @t2)) % 48.87/49.03 (define @t103 () (@list @t2 @t53)) % 48.87/49.03 (define @t104 () (tptp.in @t96 @t2)) % 48.87/49.03 (define @t105 () (tptp.relation_dom @t1)) % 48.87/49.03 (define @t106 () (@list @t96)) % 48.87/49.03 (define @t107 () (tptp.in @t84 @t53)) % 48.87/49.03 (define @t108 () (@list @t84)) % 48.87/49.03 (define @t109 () (tptp.relation_image @t1 @t2)) % 48.87/49.03 (define @t110 () (= @t53 @t109)) % 48.87/49.03 (define @t111 () (and @t52 @t36)) % 48.87/49.03 (define @t112 () (tptp.in @t96 @t1)) % 48.87/49.03 (define @t113 () (tptp.relation_rng_restriction @t1 @t2)) % 48.87/49.03 (define @t114 () (@list @t53)) % 48.87/49.03 (define @t115 () (tptp.relation_field @t1)) % 48.87/49.03 (define @t116 () (tptp.antisymmetric @t1)) % 48.87/49.03 (define @t117 () (tptp.apply @t1 @t84)) % 48.87/49.03 (define @t118 () (tptp.in @t84 @t105)) % 48.87/49.03 (define @t119 () (= @t53 (tptp.relation_inverse_image @t1 @t2))) % 48.87/49.03 (define @t120 () (tptp.powerset @t69)) % 48.87/49.03 (define @t121 () (tptp.element @t96 @t120)) % 48.87/49.03 (define @t122 () (tptp.topstr_closure @t1 @t2)) % 48.87/49.03 (define @t123 () (tptp.element @t53 @t120)) % 48.87/49.03 (define @t124 () (tptp.element @t2 @t120)) % 48.87/49.03 (define @t125 () (tptp.top_str @t1)) % 48.87/49.03 (define @t126 () (tptp.ordered_pair @t96 @t84)) % 48.87/49.03 (define @t127 () (tptp.connected @t1)) % 48.87/49.03 (define @t128 () (tptp.transitive @t1)) % 48.87/49.03 (define @t129 () (tptp.interior @t1 @t53)) % 48.87/49.03 (define @t130 () (tptp.point_neighbourhood @t53 @t1 @t2)) % 48.87/49.03 (define @t131 () (tptp.topological_space @t1)) % 48.87/49.03 (define @t132 () (and @t42 @t131 @t125)) % 48.87/49.03 (define @t133 () (tptp.in @t96 @t84)) % 48.87/49.03 (define @t134 () (@list @t1 @t2 @t53 @t84)) % 48.87/49.03 (define @t135 () (tptp.relation_dom @t2)) % 48.87/49.03 (define @t136 () (tptp.relation_rng @t2)) % 48.87/49.03 (define @t137 () (tptp.function @t2)) % 48.87/49.03 (define @t138 () (tptp.in (tptp.ordered_pair @t2 @t84) @t1)) % 48.87/49.03 (define @t139 () (tptp.ordered_pair @t2 @t53)) % 48.87/49.03 (define @t140 () (tptp.in @t139 @t1)) % 48.87/49.03 (define @t141 () (@list @t2 @t53 @t84)) % 48.87/49.03 (define @t142 () (= @t53 tptp.empty_set)) % 48.87/49.03 (define @t143 () (tptp.quasi_total @t53 @t1 @t2)) % 48.87/49.03 (define @t144 () (= @t1 tptp.empty_set)) % 48.87/49.03 (define @t145 () (= @t2 tptp.empty_set)) % 48.87/49.03 (define @t146 () (tptp.relation_dom_as_subset @t1 @t2 @t53)) % 48.87/49.03 (define @t147 () (tptp.relation_of2_as_subset @t53 @t1 @t2)) % 48.87/49.03 (define @t148 () (tptp.the_L_join @t1)) % 48.87/49.03 (define @t149 () (tptp.join @t1 @t2 @t53)) % 48.87/49.03 (define @t150 () (and @t42 @t72)) % 48.87/49.03 (define @t151 () (= @t2 @t53)) % 48.87/49.03 (define @t152 () (= @t1 @t87)) % 48.87/49.03 (define @t153 () (exists @t103 (= @t1 @t139))) % 48.87/49.03 (define @t154 () (tptp.singleton @t1)) % 48.87/49.03 (define @t155 () (tptp.succ @t1)) % 48.87/49.03 (define @t156 () (tptp.the_topology @t1)) % 48.87/49.03 (define @t157 () (tptp.in @t2 @t156)) % 48.87/49.03 (define @t158 () (tptp.union_of_subsets @t69 @t2)) % 48.87/49.03 (define @t159 () (tptp.powerset @t120)) % 48.87/49.03 (define @t160 () (tptp.element @t2 @t159)) % 48.87/49.03 (define @t161 () (tptp.in @t53 @t2)) % 48.87/49.03 (define @t162 () (tptp.is_reflexive_in @t1 @t2)) % 48.87/49.03 (define @t163 () (tptp.relation_of2 @t53 @t1 @t2)) % 48.87/49.03 (define @t164 () (= @t2 (tptp.set_meet @t1))) % 48.87/49.03 (define @t165 () (tptp.in @t53 @t84)) % 48.87/49.03 (define @t166 () (tptp.in @t84 @t1)) % 48.87/49.03 (define @t167 () (not @t144)) % 48.87/49.03 (define @t168 () (tptp.empty @t69)) % 48.87/49.03 (define @t169 () (tptp.one_sorted_str @t1)) % 48.87/49.03 (define @t170 () (tptp.subset_complement @t69 @t2)) % 48.87/49.03 (define @t171 () (tptp.interior @t1 @t2)) % 48.87/49.03 (define @t172 () (tptp.open_subset @t53 @t1)) % 48.87/49.03 (define @t173 () (tptp.open_subsets @t2 @t1)) % 48.87/49.03 (define @t174 () (= @t84 @t2)) % 48.87/49.03 (define @t175 () (tptp.subset @t53 @t84)) % 48.87/49.03 (define @t176 () (tptp.relation_field @t2)) % 48.87/49.03 (define @t177 () (tptp.inclusion_relation @t1)) % 48.87/49.03 (define @t178 () (tptp.set_meet @t2)) % 48.87/49.03 (define @t179 () (not @t145)) % 48.87/49.03 (define @t180 () (tptp.the_L_meet @t1)) % 48.87/49.03 (define @t181 () (tptp.meet @t1 @t2 @t53)) % 48.87/49.03 (define @t182 () (= @t2 @t84)) % 48.87/49.03 (define @t183 () (tptp.empty_carrier_subset @t1)) % 48.87/49.03 (define @t184 () (tptp.in @t87 @t1)) % 48.87/49.03 (define @t185 () (tptp.empty @t2)) % 48.87/49.03 (define @t186 () (not @t22)) % 48.87/49.03 (define @t187 () (forall @t114 (=> @t123 (=> @t161 (tptp.closed_subset @t53 @t1))))) % 48.87/49.03 (define @t188 () (tptp.closed_subsets @t2 @t1)) % 48.87/49.03 (define @t189 () (tptp.well_founded_relation @t1)) % 48.87/49.03 (define @t190 () (@var "F" $$unsorted)) % 48.87/49.03 (define @t191 () (tptp.ordered_pair @t96 @t190)) % 48.87/49.03 (define @t192 () (tptp.in @t190 @t2)) % 48.87/49.03 (define @t193 () (@list @t96 @t190)) % 48.87/49.03 (define @t194 () (tptp.subset @t53 @t2)) % 48.87/49.03 (define @t195 () (tptp.element @t53 @t159)) % 48.87/49.03 (define @t196 () (tptp.is_a_cover_of_carrier @t1 @t2)) % 48.87/49.03 (define @t197 () (tptp.compact_top_space @t1)) % 48.87/49.03 (define @t198 () (tptp.below @t1 @t2 @t53)) % 48.87/49.03 (define @t199 () (not @t161)) % 48.87/49.03 (define @t200 () (not @t151)) % 48.87/49.03 (define @t201 () (tptp.in @t2 @t53)) % 48.87/49.03 (define @t202 () (tptp.cast_as_carrier_subset @t1)) % 48.87/49.03 (define @t203 () (forall @t114 (=> @t86 @t161))) % 48.87/49.03 (define @t204 () (not @t142)) % 48.87/49.03 (define @t205 () (tptp.is_well_founded_in @t1 @t2)) % 48.87/49.03 (define @t206 () (tptp.apply @t1 @t2)) % 48.87/49.03 (define @t207 () (= @t53 @t206)) % 48.87/49.03 (define @t208 () (tptp.in @t2 @t105)) % 48.87/49.03 (define @t209 () (tptp.in (tptp.ordered_pair @t84 @t53) @t1)) % 48.87/49.03 (define @t210 () (tptp.is_antisymmetric_in @t1 @t2)) % 48.87/49.03 (define @t211 () (tptp.cast_to_subset @t1)) % 48.87/49.03 (define @t212 () (tptp.union @t1)) % 48.87/49.03 (define @t213 () (tptp.reflexive @t1)) % 48.87/49.03 (define @t214 () (tptp.well_ordering @t1)) % 48.87/49.03 (define @t215 () (tptp.relation_rng @t53)) % 48.87/49.03 (define @t216 () (tptp.relation_dom @t53)) % 48.87/49.03 (define @t217 () (= @t216 @t1)) % 48.87/49.03 (define @t218 () (tptp.one_to_one @t53)) % 48.87/49.03 (define @t219 () (tptp.function @t53)) % 48.87/49.03 (define @t220 () (tptp.equipotent @t1 @t2)) % 48.87/49.03 (define @t221 () (tptp.set_difference @t1 @t2)) % 48.87/49.03 (define @t222 () (and @t118 (= @t53 @t117))) % 48.87/49.03 (define @t223 () (tptp.relation_rng @t1)) % 48.87/49.03 (define @t224 () (= @t2 @t223)) % 48.87/49.03 (define @t225 () (tptp.the_InternalRel @t1)) % 48.87/49.03 (define @t226 () (tptp.transitive_relstr @t1)) % 48.87/49.03 (define @t227 () (tptp.rel_str @t1)) % 48.87/49.03 (define @t228 () (tptp.being_limit_ordinal @t1)) % 48.87/49.03 (define @t229 () (tptp.open_subset @t2 @t1)) % 48.87/49.03 (define @t230 () (tptp.subset_complement @t1 @t2)) % 48.87/49.03 (define @t231 () (tptp.ordered_pair @t1 @t2)) % 48.87/49.03 (define @t232 () (tptp.is_connected_in @t1 @t2)) % 48.87/49.03 (define @t233 () (tptp.is_transitive_in @t1 @t2)) % 48.87/49.03 (define @t234 () (tptp.antisymmetric_relstr @t1)) % 48.87/49.03 (define @t235 () (tptp.subset_difference @t69 @t202 @t2)) % 48.87/49.03 (define @t236 () (tptp.closed_subset @t2 @t1)) % 48.87/49.03 (define @t237 () (tptp.cartesian_product2 @t2 @t2)) % 48.87/49.03 (define @t238 () (tptp.relation_restriction @t1 @t2)) % 48.87/49.03 (define @t239 () (tptp.relation_inverse @t1)) % 48.87/49.03 (define @t240 () (tptp.apply @t53 @t96)) % 48.87/49.03 (define @t241 () (tptp.apply @t53 @t84)) % 48.87/49.03 (define @t242 () (tptp.relation_isomorphism @t1 @t2 @t53)) % 48.87/49.03 (define @t243 () (and @t54 @t219)) % 48.87/49.03 (define @t244 () (tptp.disjoint @t1 @t2)) % 48.87/49.03 (define @t245 () (tptp.relation_of_lattice @t1)) % 48.87/49.03 (define @t246 () (= @t245 (tptp.a_1_0_filter_1 @t1))) % 48.87/49.03 (define @t247 () (and @t42 @t44 @t47)) % 48.87/49.03 (define @t248 () (forall @t13 (=> @t247 @t246))) % 48.87/49.03 (define @t249 () (@list @t190)) % 48.87/49.03 (define @t250 () (tptp.relation_composition @t1 @t2)) % 48.87/49.03 (define @t251 () (@list @t53 @t84 @t96)) % 48.87/49.03 (define @t252 () (tptp.complements_of_subsets @t1 @t2)) % 48.87/49.03 (define @t253 () (tptp.powerset @t24)) % 48.87/49.03 (define @t254 () (tptp.element @t2 @t253)) % 48.87/49.03 (define @t255 () (not @t95)) % 48.87/49.03 (define @t256 () (tptp.function_inverse @t1)) % 48.87/49.03 (define @t257 () (tptp.related @t1 @t2 @t53)) % 48.87/49.03 (define @t258 () (tptp.ordered_pair_as_product_element @t1 @t2 @t53 @t84)) % 48.87/49.03 (define @t259 () (tptp.element @t84 @t2)) % 48.87/49.03 (define @t260 () (tptp.element @t53 @t1)) % 48.87/49.03 (define @t261 () (not @t185)) % 48.87/49.03 (define @t262 () (and @t186 @t261 @t260 @t259)) % 48.87/49.03 (define @t263 () (and @t125 @t124)) % 48.87/49.03 (define @t264 () (tptp.apply_binary_as_element @t1 @t2 @t53 @t84 @t96 @t190)) % 48.87/49.03 (define @t265 () (tptp.function @t84)) % 48.87/49.03 (define @t266 () (and @t186 @t261 @t265 (tptp.quasi_total @t84 @t55 @t53) (tptp.relation_of2 @t84 @t55 @t53) (tptp.element @t96 @t1) (tptp.element @t190 @t2))) % 48.87/49.03 (define @t267 () (@list @t1 @t2 @t53 @t84 @t96 @t190)) % 48.87/49.03 (define @t268 () (tptp.relation @t239)) % 48.87/49.03 (define @t269 () (tptp.relation @t250)) % 48.87/49.03 (define @t270 () (and @t52 @t92)) % 48.87/49.03 (define @t271 () (tptp.powerset @t2)) % 48.87/49.03 (define @t272 () (tptp.relation_rng_as_subset @t1 @t2 @t53)) % 48.87/49.03 (define @t273 () (tptp.union_of_subsets @t1 @t2)) % 48.87/49.03 (define @t274 () (tptp.relation @t90)) % 48.87/49.03 (define @t275 () (tptp.meet_of_subsets @t1 @t2)) % 48.87/49.03 (define @t276 () (tptp.subset_difference @t1 @t2 @t53)) % 48.87/49.03 (define @t277 () (tptp.relation @t102)) % 48.87/49.03 (define @t278 () (tptp.relation @t113)) % 48.87/49.03 (define @t279 () (forall @t13 (=> @t77 @t169))) % 48.87/49.03 (define @t280 () (and @t77 @t72)) % 48.87/49.03 (define @t281 () (forall @t13 (=> @t47 @t280))) % 48.87/49.03 (define @t282 () (and @t42 @t131 @t125 @t71)) % 48.87/49.03 (define @t283 () (tptp.cartesian_product2 @t69 @t69)) % 48.87/49.03 (define @t284 () (tptp.finite @t75)) % 48.87/49.03 (define @t285 () (tptp.relation_composition @t2 @t1)) % 48.87/49.03 (define @t286 () (and @t22 @t92)) % 48.87/49.03 (define @t287 () (tptp.relation_empty_yielding tptp.empty_set)) % 48.87/49.03 (define @t288 () (tptp.relation tptp.empty_set)) % 48.87/49.03 (define @t289 () (tptp.empty tptp.empty_set)) % 48.87/49.03 (define @t290 () (tptp.relation_empty_yielding @t1)) % 48.87/49.03 (define @t291 () (and @t52 @t290)) % 48.87/49.03 (define @t292 () (not (tptp.empty @t154))) % 48.87/49.03 (define @t293 () (not (tptp.empty @t24))) % 48.87/49.03 (define @t294 () (not (tptp.empty @t155))) % 48.87/49.03 (define @t295 () (not @t168)) % 48.87/49.03 (define @t296 () (and @t42 @t169)) % 48.87/49.03 (define @t297 () (forall @t13 (=> @t296 @t295))) % 48.87/49.03 (define @t298 () (tptp.v1_membered @t75)) % 48.87/49.03 (define @t299 () (tptp.v1_membered @t74)) % 48.87/49.03 (define @t300 () (tptp.v2_membered @t75)) % 48.87/49.03 (define @t301 () (tptp.ordinal @t155)) % 48.87/49.03 (define @t302 () (tptp.epsilon_connected @t155)) % 48.87/49.03 (define @t303 () (tptp.epsilon_transitive @t155)) % 48.87/49.03 (define @t304 () (and @t131 @t125 @t124)) % 48.87/49.03 (define @t305 () (tptp.v2_membered @t74)) % 48.87/49.03 (define @t306 () (tptp.v3_membered @t75)) % 48.87/49.03 (define @t307 () (tptp.v3_membered @t74)) % 48.87/49.03 (define @t308 () (tptp.v4_membered @t75)) % 48.87/49.03 (define @t309 () (tptp.v4_membered @t74)) % 48.87/49.03 (define @t310 () (tptp.v1_membered @t221)) % 48.87/49.03 (define @t311 () (tptp.v2_membered @t221)) % 48.87/49.03 (define @t312 () (tptp.v3_membered @t221)) % 48.87/49.03 (define @t313 () (tptp.open_subset @t170 @t1)) % 48.87/49.03 (define @t314 () (tptp.v4_membered @t221)) % 48.87/49.03 (define @t315 () (tptp.closed_subset @t170 @t1)) % 48.87/49.03 (define @t316 () (and @t92 @t137)) % 48.87/49.03 (define @t317 () (and @t131 @t125)) % 48.87/49.03 (define @t318 () (tptp.empty @t105)) % 48.87/49.03 (define @t319 () (and @t186 @t52)) % 48.87/49.03 (define @t320 () (tptp.empty @t223)) % 48.87/49.03 (define @t321 () (tptp.open_subset @t171 @t1)) % 48.87/49.03 (define @t322 () (tptp.below_refl @t2 @t53 @t84)) % 48.87/49.03 (define @t323 () (tptp.the_carrier @t2)) % 48.87/49.03 (define @t324 () (= @t1 (tptp.ordered_pair_as_product_element @t323 @t323 @t53 @t84))) % 48.87/49.03 (define @t325 () (tptp.element @t84 @t323)) % 48.87/49.03 (define @t326 () (tptp.element @t53 @t323)) % 48.87/49.03 (define @t327 () (and @t326 @t325 @t324 @t322)) % 48.87/49.03 (define @t328 () (exists @t89 @t327)) % 48.87/49.03 (define @t329 () (tptp.in @t1 (tptp.a_1_0_filter_1 @t2))) % 48.87/49.03 (define @t330 () (= @t329 @t328)) % 48.87/49.03 (define @t331 () (tptp.latt_str @t2)) % 48.87/49.03 (define @t332 () (tptp.lattice @t2)) % 48.87/49.03 (define @t333 () (tptp.empty_carrier @t2)) % 48.87/49.03 (define @t334 () (not @t333)) % 48.87/49.03 (define @t335 () (and @t334 @t332 @t331)) % 48.87/49.03 (define @t336 () (=> @t335 @t330)) % 48.87/49.03 (define @t337 () (forall @t6 @t336)) % 48.87/49.03 (define @t338 () (tptp.in @t2 @t115)) % 48.87/49.03 (define @t339 () (tptp.disjoint @t154 @t2)) % 48.87/49.03 (define @t340 () (not @t5)) % 48.87/49.03 (define @t341 () (tptp.well_ordering @t2)) % 48.87/49.03 (define @t342 () (tptp.in (tptp.ordered_pair @t53 @t2) @t1)) % 48.87/49.03 (define @t343 () (tptp.singleton @t53)) % 48.87/49.03 (define @t344 () (not @t140)) % 48.87/49.03 (define @t345 () (tptp.singleton @t2)) % 48.87/49.03 (define @t346 () (tptp.union @t2)) % 48.87/49.03 (define @t347 () (tptp.in @t1 @t53)) % 48.87/49.03 (define @t348 () (tptp.element @t1 @t271)) % 48.87/49.03 (define @t349 () (tptp.relation_dom_restriction @t53 @t1)) % 48.87/49.03 (define @t350 () (tptp.in @t2 (tptp.relation_dom @t349))) % 48.87/49.03 (define @t351 () (tptp.one_to_one @t2)) % 48.87/49.03 (define @t352 () (=> @t262 (= @t258 @t87))) % 48.87/49.03 (define @t353 () (forall @t134 @t352)) % 48.87/49.03 (define @t354 () (tptp.set_intersection2 @t2 @t53)) % 48.87/49.03 (define @t355 () (tptp.set_difference @t2 @t53)) % 48.87/49.03 (define @t356 () (tptp.below_refl @t1 @t2 @t53)) % 48.87/49.03 (define @t357 () (and @t42 @t39 @t38 @t37 @t47 @t71 @t70)) % 48.87/49.03 (define @t358 () (=> @t357 (= @t356 @t198))) % 48.87/49.03 (define @t359 () (forall @t57 @t358)) % 48.87/49.03 (define @t360 () (@var "K" $$unsorted)) % 48.87/49.03 (define @t361 () (@var "J" $$unsorted)) % 48.87/49.03 (define @t362 () (tptp.in @t360 @t361)) % 48.87/49.03 (define @t363 () (@list @t360)) % 48.87/49.03 (define @t364 () (@list @t361)) % 48.87/49.03 (define @t365 () (= @t84 @t96)) % 48.87/49.03 (define @t366 () (@var "I" $$unsorted)) % 48.87/49.03 (define @t367 () (@var "H" $$unsorted)) % 48.87/49.03 (define @t368 () (tptp.in @t366 @t367)) % 48.87/49.03 (define @t369 () (@list @t366)) % 48.87/49.03 (define @t370 () (@list @t367)) % 48.87/49.03 (define @t371 () (exists @t370 (and (= @t53 @t367) (tptp.in @t96 @t367) (forall @t369 (=> @t368 (tptp.in (tptp.ordered_pair @t96 @t366) @t2)))))) % 48.87/49.03 (define @t372 () (@var "G" $$unsorted)) % 48.87/49.03 (define @t373 () (tptp.in @t372 @t190)) % 48.87/49.03 (define @t374 () (@list @t372)) % 48.87/49.03 (define @t375 () (exists @t249 (and (= @t53 @t190) (tptp.in @t84 @t190) (forall @t374 (=> @t373 (tptp.in (tptp.ordered_pair @t84 @t372) @t2)))))) % 48.87/49.03 (define @t376 () (forall @t251 (=> (and @t86 @t375 @t86 @t371) @t365))) % 48.87/49.03 (define @t377 () (and @t186 @t92)) % 48.87/49.03 (define @t378 () (= @t84 @t345)) % 48.87/49.03 (define @t379 () (= @t53 @t345)) % 48.87/49.03 (define @t380 () (forall @t141 (=> (and @t3 @t379 @t3 @t378) @t85))) % 48.87/49.03 (define @t381 () (tptp.subset_complement @t69 @t367)) % 48.87/49.03 (define @t382 () (= @t367 @t84)) % 48.87/49.03 (define @t383 () (tptp.element @t367 @t120)) % 48.87/49.03 (define @t384 () (forall @t370 (=> @t383 (=> @t382 (= @t96 @t381))))) % 48.87/49.03 (define @t385 () (tptp.complements_of_subsets @t69 @t2)) % 48.87/49.03 (define @t386 () (tptp.in @t84 @t385)) % 48.87/49.03 (define @t387 () (tptp.element @t372 @t120)) % 48.87/49.03 (define @t388 () (forall @t374 (=> @t387 (=> (= @t372 @t53) (= @t96 (tptp.subset_complement @t69 @t372)))))) % 48.87/49.03 (define @t389 () (tptp.in @t53 @t385)) % 48.87/49.03 (define @t390 () (tptp.element @t190 @t120)) % 48.87/49.03 (define @t391 () (forall @t249 (=> @t390 (=> (= @t190 @t53) (= @t84 (tptp.subset_complement @t69 @t190)))))) % 48.87/49.03 (define @t392 () (forall @t251 (=> (and @t389 @t391 @t389 @t388) @t365))) % 48.87/49.03 (define @t393 () (and @t169 @t160)) % 48.87/49.03 (define @t394 () (forall @t251 (=> (and @t161 @t391 @t161 @t388) @t365))) % 48.87/49.03 (define @t395 () (tptp.ordinal @t53)) % 48.87/49.03 (define @t396 () (@var "S" $$unsorted)) % 48.87/49.03 (define @t397 () (@var "T" $$unsorted)) % 48.87/49.03 (define @t398 () (@var "R" $$unsorted)) % 48.87/49.03 (define @t399 () (tptp.powerset (tptp.powerset @t84))) % 48.87/49.03 (define @t400 () (@list @t398)) % 48.87/49.03 (define @t401 () (tptp.in @t84 tptp.omega)) % 48.87/49.03 (define @t402 () (tptp.ordinal @t84)) % 48.87/49.03 (define @t403 () (@var "P" $$unsorted)) % 48.87/49.03 (define @t404 () (@var "Q" $$unsorted)) % 48.87/49.03 (define @t405 () (@var "O" $$unsorted)) % 48.87/49.03 (define @t406 () (@list @t404)) % 48.87/49.03 (define @t407 () (@list @t403)) % 48.87/49.03 (define @t408 () (@list @t405)) % 48.87/49.03 (define @t409 () (@var "M" $$unsorted)) % 48.87/49.03 (define @t410 () (@var "N" $$unsorted)) % 48.87/49.03 (define @t411 () (@var "L" $$unsorted)) % 48.87/49.03 (define @t412 () (@list @t410)) % 48.87/49.03 (define @t413 () (tptp.in @t409 @t411)) % 48.87/49.03 (define @t414 () (@list @t409)) % 48.87/49.03 (define @t415 () (@list @t411)) % 48.87/49.03 (define @t416 () (tptp.succ @t84)) % 48.87/49.03 (define @t417 () (=> @t401 (forall @t106 (=> (tptp.element @t96 @t399) (not (and (not (= @t96 tptp.empty_set)) (forall @t249 (not (and (tptp.in @t190 @t96) (forall @t374 (=> (and (tptp.in @t372 @t96) (tptp.subset @t190 @t372)) (= @t372 @t190)))))))))))) % 48.87/49.03 (define @t418 () (tptp.subset @t2 @t53)) % 48.87/49.03 (define @t419 () (tptp.powerset tptp.empty_set)) % 48.87/49.03 (define @t420 () (tptp.apply @t53 @t190)) % 48.87/49.03 (define @t421 () (tptp.in @t190 @t1)) % 48.87/49.03 (define @t422 () (tptp.relation @t84)) % 48.87/49.03 (define @t423 () (and @t92 @t54 @t219)) % 48.87/49.03 (define @t424 () (forall @t363 (=> @t362 (tptp.in (tptp.ordered_pair @t84 @t360) @t2)))) % 48.87/49.03 (define @t425 () (tptp.in @t84 @t361)) % 48.87/49.03 (define @t426 () (= @t190 @t96)) % 48.87/49.03 (define @t427 () (tptp.cartesian_product2 @t1 @t53)) % 48.87/49.03 (define @t428 () (= @t96 @t190)) % 48.87/49.03 (define @t429 () (tptp.ordered_pair @t360 @t411)) % 48.87/49.03 (define @t430 () (@list @t360 @t411)) % 48.87/49.03 (define @t431 () (= @t84 @t190)) % 48.87/49.03 (define @t432 () (tptp.in @t361 @t366)) % 48.87/49.03 (define @t433 () (tptp.in @t372 @t1)) % 48.87/49.03 (define @t434 () (tptp.ordered_pair @t372 @t367)) % 48.87/49.03 (define @t435 () (= @t434 @t96)) % 48.87/49.03 (define @t436 () (@list @t372 @t367)) % 48.87/49.03 (define @t437 () (@list @t84 @t96 @t190)) % 48.87/49.03 (define @t438 () (tptp.ordered_pair @t361 @t360)) % 48.87/49.03 (define @t439 () (@list @t361 @t360)) % 48.87/49.03 (define @t440 () (= @t96 @t84)) % 48.87/49.03 (define @t441 () (tptp.in @t367 @t1)) % 48.87/49.03 (define @t442 () (= @t53 @t96)) % 48.87/49.03 (define @t443 () (tptp.ordered_pair @t190 @t372)) % 48.87/49.03 (define @t444 () (@list @t190 @t372)) % 48.87/49.03 (define @t445 () (= @t84 @t53)) % 48.87/49.03 (define @t446 () (not (and (not (= @t190 tptp.empty_set)) (forall @t374 (not (and @t373 (forall @t370 (=> (and (tptp.in @t367 @t190) (tptp.subset @t372 @t367)) (= @t367 @t372))))))))) % 48.87/49.03 (define @t447 () (tptp.ordinal @t96)) % 48.87/49.03 (define @t448 () (tptp.subset @t2 @t84)) % 48.87/49.03 (define @t449 () (tptp.in @t96 @t120)) % 48.87/49.03 (define @t450 () (tptp.in (tptp.set_difference @t202 @t84) @t2)) % 48.87/49.03 (define @t451 () (and @t131 @t125 @t160)) % 48.87/49.03 (define @t452 () (tptp.in @t372 @t2)) % 48.87/49.03 (define @t453 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t155))))) % 48.87/49.03 (define @t454 () (= @t84 @t381)) % 48.87/49.03 (define @t455 () (forall @t370 (=> @t383 (=> (= @t367 @t96) @t454)))) % 48.87/49.03 (define @t456 () (tptp.in @t96 @t385)) % 48.87/49.03 (define @t457 () (forall @t408 (=> (tptp.element @t405 @t120) (=> (= @t405 @t409) (= @t410 (tptp.subset_complement @t69 @t405)))))) % 48.87/49.03 (define @t458 () (= (tptp.ordered_pair @t409 @t410) @t96)) % 48.87/49.03 (define @t459 () (@list @t409 @t410)) % 48.87/49.03 (define @t460 () (tptp.cartesian_product2 @t385 @t53)) % 48.87/49.03 (define @t461 () (forall @t415 (=> (tptp.element @t411 @t120) (=> (= @t411 @t361) (= @t360 (tptp.subset_complement @t69 @t411)))))) % 48.87/49.03 (define @t462 () (= @t438 @t190)) % 48.87/49.03 (define @t463 () (tptp.subset_complement @t69 @t366)) % 48.87/49.03 (define @t464 () (tptp.element @t366 @t120)) % 48.87/49.03 (define @t465 () (forall @t369 (=> @t464 (=> (= @t366 @t372) (= @t367 @t463))))) % 48.87/49.03 (define @t466 () (tptp.cartesian_product2 @t2 @t53)) % 48.87/49.03 (define @t467 () (tptp.cartesian_product2 @t1 @t1)) % 48.87/49.03 (define @t468 () (tptp.apply @t53 @t372)) % 48.87/49.03 (define @t469 () (tptp.in (tptp.relation_image @t53 @t96) @t2)) % 48.87/49.03 (define @t470 () (tptp.powerset @t216)) % 48.87/49.03 (define @t471 () (and @t254 @t54 @t219)) % 48.87/49.03 (define @t472 () (tptp.succ @t2)) % 48.87/49.03 (define @t473 () (= @t443 @t96)) % 48.87/49.03 (define @t474 () (exists @t106 (and @t121 @t440 (tptp.closed_subset @t96 @t1) @t448))) % 48.87/49.03 (define @t475 () (tptp.in @t84 @t120)) % 48.87/49.03 (define @t476 () (forall @t370 (=> @t383 (=> (= @t367 @t190) (= @t372 @t381))))) % 48.87/49.03 (define @t477 () (tptp.apply @t2 @t53)) % 48.87/49.03 (define @t478 () (= @t135 @t1)) % 48.87/49.03 (define @t479 () (exists @t11 (and @t92 @t137 @t478 (forall @t114 (=> @t86 (= @t477 @t343)))))) % 48.87/49.03 (define @t480 () (forall @t369 (=> @t464 (=> (= @t366 @t84) (= @t241 @t463))))) % 48.87/49.03 (define @t481 () (forall @t108 (not (forall @t370 (=> @t383 (=> (= @t367 @t53) @t454)))))) % 48.87/49.03 (define @t482 () (tptp.in @t1 tptp.omega)) % 48.87/49.03 (define @t483 () (tptp.element @t84 @t120)) % 48.87/49.03 (define @t484 () (= @t252 tptp.empty_set)) % 48.87/49.03 (define @t485 () (not (and @t179 @t484))) % 48.87/49.03 (define @t486 () (= @t1 @t53)) % 48.87/49.03 (define @t487 () (tptp.relation_rng @t113)) % 48.87/49.03 (define @t488 () (tptp.meet_of_subsets @t1 @t252)) % 48.87/49.03 (define @t489 () (tptp.union_of_subsets @t1 @t252)) % 48.87/49.03 (define @t490 () (forall @t114 (not (and @t194 (not (tptp.are_equipotent @t53 @t2)) @t199)))) % 48.87/49.03 (define @t491 () (tptp.powerset @t53)) % 48.87/49.03 (define @t492 () (forall @t89 (=> (and @t161 (tptp.subset @t84 @t53)) @t99))) % 48.87/49.03 (define @t493 () (tptp.meet_of_subsets @t69 @t2)) % 48.87/49.03 (define @t494 () (tptp.relation_dom_restriction @t53 @t2)) % 48.87/49.03 (define @t495 () (tptp.relation_image @t2 @t1)) % 48.87/49.03 (define @t496 () (tptp.relation_inverse_image @t2 @t1)) % 48.87/49.03 (define @t497 () (tptp.relation_image @t2 @t496)) % 48.87/49.03 (define @t498 () (tptp.set_intersection2 @t135 @t1)) % 48.87/49.03 (define @t499 () (tptp.subset @t1 @t136)) % 48.87/49.03 (define @t500 () (tptp.relation_of2_as_subset @t84 @t53 @t2)) % 48.87/49.03 (define @t501 () (tptp.relation_rng @t84)) % 48.87/49.03 (define @t502 () (tptp.relation_of2_as_subset @t84 @t53 @t1)) % 48.87/49.03 (define @t503 () (tptp.relation_rng @t250)) % 48.87/49.03 (define @t504 () (tptp.relation_inverse_image @t53 @t2)) % 48.87/49.03 (define @t505 () (tptp.relation_restriction @t53 @t2)) % 48.87/49.03 (define @t506 () (tptp.relation_restriction @t2 @t1)) % 48.87/49.03 (define @t507 () (tptp.relation_dom_restriction @t2 @t1)) % 48.87/49.03 (define @t508 () (tptp.relation_field @t53)) % 48.87/49.03 (define @t509 () (tptp.in @t1 @t508)) % 48.87/49.03 (define @t510 () (tptp.subset @t1 @t53)) % 48.87/49.03 (define @t511 () (tptp.element @t1 @t2)) % 48.87/49.03 (define @t512 () (tptp.in @t1 @t216)) % 48.87/49.03 (define @t513 () (tptp.in @t231 @t53)) % 48.87/49.03 (define @t514 () (tptp.relation_field @t506)) % 48.87/49.03 (define @t515 () (tptp.apply @t53 @t1)) % 48.87/49.03 (define @t516 () (tptp.relation_composition @t53 @t2)) % 48.87/49.03 (define @t517 () (tptp.in @t1 (tptp.relation_dom @t516))) % 48.87/49.03 (define @t518 () (tptp.apply @t84 @t53)) % 48.87/49.03 (define @t519 () (and @t265 (tptp.quasi_total @t84 @t1 @t2) (tptp.relation_of2_as_subset @t84 @t1 @t2))) % 48.87/49.03 (define @t520 () (tptp.reflexive @t2)) % 48.87/49.03 (define @t521 () (tptp.connected @t2)) % 48.87/49.03 (define @t522 () (tptp.transitive @t2)) % 48.87/49.03 (define @t523 () (tptp.antisymmetric @t2)) % 48.87/49.03 (define @t524 () (tptp.well_ordering @t506)) % 48.87/49.03 (define @t525 () (= @t514 @t1)) % 48.87/49.03 (define @t526 () (tptp.well_orders @t2 @t1)) % 48.87/49.03 (define @t527 () (tptp.well_founded_relation @t2)) % 48.87/49.03 (define @t528 () (tptp.in (tptp.ordered_pair_as_product_element @t69 @t69 @t2 @t53) @t245)) % 48.87/49.03 (define @t529 () (=> @t70 (= @t528 @t356))) % 48.87/49.03 (define @t530 () (forall @t114 @t529)) % 48.87/49.03 (define @t531 () (=> @t71 @t530)) % 48.87/49.03 (define @t532 () (forall @t11 @t531)) % 48.87/49.03 (define @t533 () (=> @t247 @t532)) % 48.87/49.03 (define @t534 () (forall @t13 @t533)) % 48.87/49.03 (define @t535 () (not @t534)) % 48.87/49.03 (define @t536 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 48.87/49.03 (define @t537 () (and @t86 @t161)) % 48.87/49.03 (define @t538 () (not @t244)) % 48.87/49.03 (define @t539 () (= @t1 @t472)) % 48.87/49.03 (define @t540 () (tptp.subset_complement @t1 @t53)) % 48.87/49.03 (define @t541 () (tptp.disjoint @t2 @t53)) % 48.87/49.03 (define @t542 () (tptp.relation_dom @t250)) % 48.87/49.03 (define @t543 () (and (tptp.closed_subset @t84 @t1) @t448)) % 48.87/49.03 (define @t544 () (tptp.element @t2 @t491)) % 48.87/49.03 (define @t545 () (tptp.in @t53 @t75)) % 48.87/49.03 (define @t546 () (= @t122 @t2)) % 48.87/49.03 (define @t547 () (and (tptp.in @t53 @t223) (= @t84 @t477))) % 48.87/49.03 (define @t548 () (tptp.function_inverse @t2)) % 48.87/49.03 (define @t549 () (= @t223 tptp.empty_set)) % 48.87/49.03 (define @t550 () (= @t105 tptp.empty_set)) % 48.87/49.03 (define @t551 () (= (tptp.apply @t349 @t2) (tptp.apply @t53 @t2))) % 48.87/49.03 (define @t552 () (tptp.pair_second @t231)) % 48.87/49.03 (define @t553 () (tptp.pair_first @t231)) % 48.87/49.03 (define @t554 () (and (= @t553 @t1) (= @t552 @t2))) % 48.87/49.03 (define @t555 () (forall @t6 @t554)) % 48.87/49.03 (define @t556 () (= @t154 (tptp.unordered_pair @t2 @t53))) % 48.87/49.03 (define @t557 () (= @t87 @t258)) % 48.87/49.03 (define @t558 () (not @t259)) % 48.87/49.03 (define @t559 () (not @t260)) % 48.87/49.03 (define @t560 () (or @t22 @t185 @t559 @t558 @t557)) % 48.87/49.03 (define @t561 () (not @t261)) % 48.87/49.03 (define @t562 () (not @t186)) % 48.87/49.03 (define @t563 () (or @t562 @t561 @t559 @t558)) % 48.87/49.03 (define @t564 () (@var "BOUND_VARIABLE_18281" $$unsorted)) % 48.87/49.03 (define @t565 () (@var "BOUND_VARIABLE_18279" $$unsorted)) % 48.87/49.03 (define @t566 () (= (tptp.below_refl @t1 @t565 @t564) (tptp.in (tptp.ordered_pair_as_product_element @t69 @t69 @t565 @t564) @t245))) % 48.87/49.03 (define @t567 () (not (tptp.element @t564 @t69))) % 48.87/49.03 (define @t568 () (not (tptp.element @t565 @t69))) % 48.87/49.03 (define @t569 () (not @t47)) % 48.87/49.03 (define @t570 () (not @t44)) % 48.87/49.03 (define @t571 () (or @t41 @t570 @t569 @t568 @t567 @t566)) % 48.87/49.03 (define @t572 () (@list @t1 @t565 @t564)) % 48.87/49.03 (define @t573 () (forall @t572 @t571)) % 48.87/49.03 (define @t574 () (@quantifiers_skolemize @t573 2)) % 48.87/49.03 (define @t575 () (@quantifiers_skolemize @t573 1)) % 48.87/49.03 (define @t576 () (tptp.ordered_pair @t575 @t574)) % 48.87/49.03 (define @t577 () (@quantifiers_skolemize @t573 0)) % 48.87/49.03 (define @t578 () (tptp.the_carrier @t577)) % 48.87/49.03 (define @t579 () (tptp.ordered_pair_as_product_element @t578 @t578 @t575 @t574)) % 48.87/49.03 (define @t580 () (tptp.element @t574 @t578)) % 48.87/49.03 (define @t581 () (not @t580)) % 48.87/49.03 (define @t582 () (tptp.element @t575 @t578)) % 48.87/49.03 (define @t583 () (not @t582)) % 48.87/49.03 (define @t584 () (tptp.empty @t578)) % 48.87/49.03 (define @t585 () (or @t584 @t584 @t583 @t581 (= @t576 @t579))) % 48.87/49.03 (define @t586 () (forall @t134 @t560)) % 48.87/49.03 (define @t587 () (= @t579 @t576)) % 48.87/49.03 (define @t588 () (or @t584 @t584 @t583 @t581 @t587)) % 48.87/49.03 (define @t589 () (@list false)) % 48.87/49.03 (define @t590 () (@list @t586)) % 48.87/49.03 (define @t591 () (not @t169)) % 48.87/49.03 (define @t592 () (not @t42)) % 48.87/49.03 (define @t593 () (@list @t577)) % 48.87/49.03 (define @t594 () (or @t568 @t567 @t566)) % 48.87/49.03 (define @t595 () (or @t41 @t570 @t569 @t594)) % 48.87/49.03 (define @t596 () (forall @t572 @t595)) % 48.87/49.03 (define @t597 () (@list @t565 @t564)) % 48.87/49.03 (define @t598 () (forall @t597 @t595)) % 48.87/49.03 (define @t599 () (forall @t597 @t594)) % 48.87/49.03 (define @t600 () (@var "BOUND_VARIABLE_18261" $$unsorted)) % 48.87/49.03 (define @t601 () (or @t41 @t570 @t569 @t599)) % 48.87/49.03 (define @t602 () (= (tptp.below_refl @t1 @t2 @t600) (tptp.in (tptp.ordered_pair_as_product_element @t69 @t69 @t2 @t600) @t245))) % 48.87/49.03 (define @t603 () (not (tptp.element @t600 @t69))) % 48.87/49.03 (define @t604 () (not @t71)) % 48.87/49.03 (define @t605 () (or @t604 @t603 @t602)) % 48.87/49.03 (define @t606 () (@list @t2 @t600)) % 48.87/49.03 (define @t607 () (forall @t606 @t605)) % 48.87/49.03 (define @t608 () (or @t41 @t570 @t569 @t607)) % 48.87/49.03 (define @t609 () (or @t41 @t570 @t569)) % 48.87/49.03 (define @t610 () (or @t592 @t570 @t569)) % 48.87/49.03 (define @t611 () (not @t247)) % 48.87/49.03 (define @t612 () (or @t603 @t602)) % 48.87/49.03 (define @t613 () (or @t604 @t612)) % 48.87/49.03 (define @t614 () (forall @t606 @t613)) % 48.87/49.03 (define @t615 () (@list @t600)) % 48.87/49.03 (define @t616 () (forall @t615 @t613)) % 48.87/49.03 (define @t617 () (forall @t615 @t612)) % 48.87/49.03 (define @t618 () (or @t604 @t617)) % 48.87/49.03 (define @t619 () (= @t356 @t528)) % 48.87/49.03 (define @t620 () (not @t70)) % 48.87/49.03 (define @t621 () (forall @t114 (or @t620 @t619))) % 48.87/49.03 (define @t622 () (tptp.latt_str @t577)) % 48.87/49.03 (define @t623 () (tptp.relation_of_lattice @t577)) % 48.87/49.03 (define @t624 () (tptp.in @t579 @t623)) % 48.87/49.03 (define @t625 () (tptp.below_refl @t577 @t575 @t574)) % 48.87/49.03 (define @t626 () (= @t625 @t624)) % 48.87/49.03 (define @t627 () (not @t622)) % 48.87/49.03 (define @t628 () (tptp.lattice @t577)) % 48.87/49.03 (define @t629 () (not @t628)) % 48.87/49.03 (define @t630 () (tptp.empty_carrier @t577)) % 48.87/49.03 (define @t631 () (or @t630 @t629 @t627 @t583 @t581 @t626)) % 48.87/49.03 (define @t632 () (@list true)) % 48.87/49.03 (define @t633 () (@list @t631)) % 48.87/49.03 (define @t634 () (tptp.meet_semilatt_str @t577)) % 48.87/49.03 (define @t635 () (and @t634 (tptp.join_semilatt_str @t577))) % 48.87/49.03 (define @t636 () (or @t627 @t635)) % 48.87/49.03 (define @t637 () (@list false false)) % 48.87/49.03 (define @t638 () (tptp.one_sorted_str @t577)) % 48.87/49.03 (define @t639 () (not @t634)) % 48.87/49.03 (define @t640 () (or @t639 @t638)) % 48.87/49.03 (define @t641 () (not @t630)) % 48.87/49.03 (define @t642 () (not @t584)) % 48.87/49.03 (define @t643 () (not @t638)) % 48.87/49.03 (define @t644 () (or @t630 @t643 @t642)) % 48.87/49.03 (define @t645 () (= @t198 @t356)) % 48.87/49.03 (define @t646 () (not @t37)) % 48.87/49.03 (define @t647 () (not @t38)) % 48.87/49.03 (define @t648 () (not @t39)) % 48.87/49.03 (define @t649 () (or @t41 @t648 @t647 @t646 @t569 @t604 @t620 @t645)) % 48.87/49.03 (define @t650 () (or @t592 @t648 @t647 @t646 @t569 @t604 @t620)) % 48.87/49.03 (define @t651 () (tptp.below @t577 @t575 @t574)) % 48.87/49.03 (define @t652 () (tptp.join_absorbing @t577)) % 48.87/49.03 (define @t653 () (not @t652)) % 48.87/49.03 (define @t654 () (tptp.meet_absorbing @t577)) % 48.87/49.03 (define @t655 () (not @t654)) % 48.87/49.03 (define @t656 () (tptp.meet_commutative @t577)) % 48.87/49.03 (define @t657 () (not @t656)) % 48.87/49.03 (define @t658 () (or @t630 @t657 @t655 @t653 @t627 @t583 @t581 (= @t651 @t625))) % 48.87/49.03 (define @t659 () (forall @t57 @t649)) % 48.87/49.03 (define @t660 () (= @t625 @t651)) % 48.87/49.03 (define @t661 () (or @t630 @t657 @t655 @t653 @t627 @t583 @t581 @t660)) % 48.87/49.03 (define @t662 () (@list @t659)) % 48.87/49.03 (define @t663 () (or @t41 @t570 @t43)) % 48.87/49.03 (define @t664 () (and @t641 (tptp.join_commutative @t577) (tptp.join_associative @t577) @t656 (tptp.meet_associative @t577) @t654 @t652)) % 48.87/49.03 (define @t665 () (or @t627 @t630 @t629 @t664)) % 48.87/49.03 (define @t666 () (@list true false false false)) % 48.87/49.03 (define @t667 () (not @t664)) % 48.87/49.03 (define @t668 () (@list @t664)) % 48.87/49.03 (define @t669 () (@list true false false false false false false false)) % 48.87/49.03 (define @t670 () (tptp.a_1_0_filter_1 @t577)) % 48.87/49.03 (define @t671 () (= @t623 @t670)) % 48.87/49.03 (define @t672 () (or @t630 @t629 @t627 @t671)) % 48.87/49.03 (define @t673 () (tptp.in @t579 @t670)) % 48.87/49.03 (define @t674 () (not @t673)) % 48.87/49.03 (define @t675 () (not @t671)) % 48.87/49.03 (define @t676 () (not @t624)) % 48.87/49.03 (define @t677 () (and @t676 @t671)) % 48.87/49.03 (define @t678 () (not @t322)) % 48.87/49.03 (define @t679 () (not @t324)) % 48.87/49.03 (define @t680 () (not @t325)) % 48.87/49.03 (define @t681 () (not @t326)) % 48.87/49.03 (define @t682 () (or @t681 @t680 @t679 @t678)) % 48.87/49.03 (define @t683 () (= @t329 (not (forall @t89 @t682)))) % 48.87/49.03 (define @t684 () (not @t331)) % 48.87/49.03 (define @t685 () (not @t332)) % 48.87/49.03 (define @t686 () (not @t334)) % 48.87/49.03 (define @t687 () (or @t686 @t685 @t684)) % 48.87/49.03 (define @t688 () (forall @t89 (not @t327))) % 48.87/49.03 (define @t689 () (not @t688)) % 48.87/49.03 (define @t690 () (forall @t89 (or (not (tptp.element @t53 @t578)) (not (tptp.element @t84 @t578)) (not (= @t579 (tptp.ordered_pair_as_product_element @t578 @t578 @t53 @t84))) (not (tptp.below_refl @t577 @t53 @t84))))) % 48.87/49.03 (define @t691 () (not @t690)) % 48.87/49.03 (define @t692 () (= @t673 @t691)) % 48.87/49.03 (define @t693 () (or @t630 @t629 @t627 @t692)) % 48.87/49.03 (define @t694 () (not @t692)) % 48.87/49.03 (define @t695 () (not @t691)) % 48.87/49.03 (define @t696 () (not @t625)) % 48.87/49.03 (define @t697 () (or @t583 @t581 @t696)) % 48.87/49.03 (define @t698 () (not (= @t579 @t579))) % 48.87/49.03 (define @t699 () (or @t583 @t581 @t698 @t696)) % 48.87/49.03 (define @t700 () (@list @t575 @t574)) % 48.87/49.03 (define @t701 () (not @t651)) % 48.87/49.03 (define @t702 () (and @t624 @t671)) % 48.87/49.03 (define @t703 () (@quantifiers_skolemize @t690 1)) % 48.87/49.03 (define @t704 () (@quantifiers_skolemize @t690 0)) % 48.87/49.03 (define @t705 () (tptp.below_refl @t577 @t704 @t703)) % 48.87/49.03 (define @t706 () (not @t705)) % 48.87/49.03 (define @t707 () (tptp.ordered_pair_as_product_element @t578 @t578 @t704 @t703)) % 48.87/49.03 (define @t708 () (= @t579 @t707)) % 48.87/49.03 (define @t709 () (not @t708)) % 48.87/49.03 (define @t710 () (tptp.element @t703 @t578)) % 48.87/49.03 (define @t711 () (not @t710)) % 48.87/49.03 (define @t712 () (tptp.element @t704 @t578)) % 48.87/49.03 (define @t713 () (not @t712)) % 48.87/49.03 (define @t714 () (or @t713 @t711 @t709 @t706)) % 48.87/49.03 (define @t715 () (not @t714)) % 48.87/49.03 (define @t716 () (@list @t714)) % 48.87/49.03 (define @t717 () (= @t2 @t552)) % 48.87/49.03 (define @t718 () (forall @t6 @t717)) % 48.87/49.03 (define @t719 () (@list @t1 @t2)) % 48.87/49.03 (define @t720 () (= @t1 @t553)) % 48.87/49.03 (define @t721 () (forall @t6 @t720)) % 48.87/49.03 (define @t722 () (and @t721 @t718)) % 48.87/49.03 (define @t723 () (tptp.ordered_pair @t704 @t703)) % 48.87/49.03 (define @t724 () (or @t584 @t584 @t713 @t711 (= @t723 @t707))) % 48.87/49.03 (define @t725 () (= @t707 @t723)) % 48.87/49.03 (define @t726 () (or @t584 @t584 @t713 @t711 @t725)) % 48.87/49.03 (define @t727 () (tptp.below @t577 @t704 @t703)) % 48.87/49.03 (define @t728 () (or @t630 @t657 @t655 @t653 @t627 @t713 @t711 (= @t727 @t705))) % 48.87/49.03 (define @t729 () (= @t705 @t727)) % 48.87/49.03 (define @t730 () (or @t630 @t657 @t655 @t653 @t627 @t713 @t711 @t729)) % 48.87/49.03 (define @t731 () (@list @t704 @t703)) % 48.87/49.03 (define @t732 () (tptp.pair_second @t723)) % 48.87/49.03 (define @t733 () (= @t703 @t732)) % 48.87/49.03 (define @t734 () (not @t733)) % 48.87/49.03 (define @t735 () (tptp.pair_first @t723)) % 48.87/49.03 (define @t736 () (= @t704 @t735)) % 48.87/49.03 (define @t737 () (not @t736)) % 48.87/49.03 (define @t738 () (= @t574 (tptp.pair_second @t576))) % 48.87/49.03 (define @t739 () (not @t738)) % 48.87/49.03 (define @t740 () (= @t575 (tptp.pair_first @t576))) % 48.87/49.03 (define @t741 () (not @t740)) % 48.87/49.03 (define @t742 () (not @t727)) % 48.87/49.03 (define @t743 () (not @t725)) % 48.87/49.03 (define @t744 () (not @t587)) % 48.87/49.03 (define @t745 () (and @t701 @t740 @t587 @t708 @t725 @t736 @t738 @t733 @t727)) % 48.87/49.03 (assume @p1 (forall @t6 (=> @t5 @t4))) % 48.87/49.03 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 48.87/49.03 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 48.87/49.03 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 48.87/49.03 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 48.87/49.03 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 48.87/49.03 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 48.87/49.03 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 48.87/49.03 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 48.87/49.03 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 48.87/49.03 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 48.87/49.03 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 48.87/49.03 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 48.87/49.03 (assume @p14 (forall @t13 (=> @t22 @t33))) % 48.87/49.03 (assume @p15 (forall @t13 (=> @t35 @t34))) % 48.87/49.03 (assume @p16 (forall @t13 (=> @t22 @t36))) % 48.87/49.03 (assume @p17 @t48) % 48.87/49.03 (assume @p18 (forall @t13 (=> @t21 @t19))) % 48.87/49.03 (assume @p19 (forall @t13 (=> @t32 @t51))) % 48.87/49.03 (assume @p20 (forall @t13 (=> @t22 @t52))) % 48.87/49.03 (assume @p21 (forall @t57 (=> @t56 @t54))) % 48.87/49.03 (assume @p22 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 48.87/49.03 (assume @p23 (forall @t13 (=> (and @t22 @t32) @t59))) % 48.87/49.03 (assume @p24 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t60))))) % 48.87/49.03 (assume @p25 (forall @t13 (=> @t34 @t35))) % 48.87/49.03 (assume @p26 (forall @t13 (=> @t63 @t62))) % 48.87/49.03 (assume @p27 (forall @t13 (=> @t47 (=> @t43 @t45)))) % 48.87/49.03 (assume @p28 (forall @t13 (=> @t19 @t17))) % 48.87/49.03 (assume @p29 (forall @t13 (=> @t51 @t32))) % 48.87/49.03 (assume @p30 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t59))) % 48.87/49.03 (assume @p31 (forall @t13 (=> @t17 @t15))) % 48.87/49.03 (assume @p32 (forall @t13 (=> @t22 @t64))) % 48.87/49.03 (assume @p33 (forall @t13 (=> @t15 @t12))) % 48.87/49.03 (assume @p34 (forall @t6 (= @t65 (tptp.unordered_pair @t2 @t1)))) % 48.87/49.03 (assume @p35 (forall @t6 (= @t67 @t66))) % 48.87/49.03 (assume @p36 (forall @t57 (=> @t73 (= @t68 (tptp.join_commut @t1 @t53 @t2))))) % 48.87/49.03 (assume @p37 (forall @t6 (= @t75 @t74))) % 48.87/49.03 (assume @p38 (forall @t57 (=> @t78 (= @t76 (tptp.meet_commut @t1 @t53 @t2))))) % 48.87/49.03 (assume @p39 (forall @t57 (=> @t81 (= @t79 (tptp.subset_intersection2 @t1 @t53 @t2))))) % 48.87/49.03 (assume @p40 (forall @t6 (=> @t83 (or @t82 (tptp.ordinal_subset @t2 @t1))))) % 48.87/49.03 (assume @p41 (forall @t6 (=> @t92 (= @t91 (forall @t89 (= @t88 (and @t86 @t85))))))) % 48.87/49.03 (assume @p42 (forall @t6 (= @t95 (and @t94 @t93)))) % 48.87/49.03 (assume @p43 (forall @t13 (=> @t52 (forall @t103 (=> @t54 (= (= @t53 @t102) (forall @t101 (= @t100 (and @t99 @t98))))))))) % 48.87/49.03 (assume @p44 (forall @t13 (=> @t111 (forall @t103 (= @t110 (forall @t108 (= @t107 (exists @t106 (and (tptp.in @t96 @t105) @t104 (= @t84 (tptp.apply @t1 @t96))))))))))) % 48.87/49.03 (assume @p45 (forall @t6 (=> @t92 (forall @t114 (=> @t54 (= (= @t53 @t113) (forall @t101 (= @t100 (and @t112 (tptp.in @t97 @t2)))))))))) % 48.87/49.03 (assume @p46 (forall @t13 (=> @t52 (= @t116 (tptp.is_antisymmetric_in @t1 @t115))))) % 48.87/49.03 (assume @p47 (forall @t13 (=> @t111 (forall @t103 (= @t119 (forall @t108 (= @t107 (and @t118 (tptp.in @t117 @t2))))))))) % 48.87/49.03 (assume @p48 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (forall @t114 (=> @t123 (= (= @t53 @t122) (forall @t108 (=> (tptp.in @t84 @t69) (= @t107 (forall @t106 (=> @t121 (not (and (tptp.open_subset @t96 @t1) (tptp.in @t84 @t96) (tptp.disjoint @t2 @t96)))))))))))))))) % 48.87/49.03 (assume @p49 (forall @t13 (=> @t52 (forall @t103 (= @t110 (forall @t108 (= @t107 (exists @t106 (and (tptp.in @t126 @t1) @t104))))))))) % 48.87/49.03 (assume @p50 (forall @t13 (=> @t52 (forall @t103 (= @t119 (forall @t108 (= @t107 (exists @t106 (and @t98 @t104))))))))) % 48.87/49.03 (assume @p51 (forall @t13 (=> @t52 (= @t127 (tptp.is_connected_in @t1 @t115))))) % 48.87/49.03 (assume @p52 (forall @t13 (=> @t52 (= @t128 (tptp.is_transitive_in @t1 @t115))))) % 48.87/49.03 (assume @p53 (forall @t13 (=> @t132 (forall @t11 (=> @t71 (forall @t114 (=> @t123 (= @t130 (tptp.in @t2 @t129))))))))) % 48.87/49.03 (assume @p54 (forall @t134 (= (= @t84 (tptp.unordered_triple @t1 @t2 @t53)) (forall @t106 (= @t133 (not (and (not (= @t96 @t1)) (not (= @t96 @t2)) (not (= @t96 @t53))))))))) % 48.87/49.03 (assume @p55 (forall @t13 (= @t33 (exists @t11 (and @t92 @t137 (= @t136 @t1) (tptp.in @t135 tptp.omega)))))) % 48.87/49.03 (assume @p56 (forall @t13 (= @t36 (forall @t141 (=> (and @t140 @t138) @t85))))) % 48.87/49.03 (assume @p57 (forall @t57 (=> @t147 (and (=> (=> @t145 @t144) (= @t143 (= @t1 @t146))) (=> @t145 (or @t144 (= @t143 @t142))))))) % 48.87/49.03 (assume @p58 (forall @t13 (=> @t150 (forall @t11 (=> @t71 (forall @t114 (=> @t70 (= @t149 (tptp.apply_binary_as_element @t69 @t69 @t69 @t148 @t2 @t53))))))))) % 48.87/49.03 (assume @p59 (forall @t13 (=> @t153 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t89 (=> @t152 @t151))))))) % 48.87/49.03 (assume @p60 (forall @t13 (= @t155 (tptp.set_union2 @t1 @t154)))) % 48.87/49.03 (assume @p61 (forall @t13 (=> @t125 (= @t131 (and (tptp.in @t69 @t156) (forall @t11 (=> @t160 (=> (tptp.subset @t2 @t156) (tptp.in @t158 @t156)))) (forall @t11 (=> @t124 (forall @t114 (=> @t123 (=> (and @t157 (tptp.in @t53 @t156)) (tptp.in (tptp.subset_intersection2 @t69 @t2 @t53) @t156))))))))))) % 48.87/49.03 (assume @p62 (forall @t13 (= @t52 (forall @t11 (not (and @t3 (forall @t89 (not (= @t2 @t87))))))))) % 48.87/49.03 (assume @p63 (forall @t13 (=> @t52 (forall @t11 (= @t162 (forall @t114 (=> @t161 (tptp.in (tptp.ordered_pair @t53 @t53) @t1)))))))) % 48.87/49.03 (assume @p64 (forall @t57 (= @t163 (tptp.subset @t53 @t55)))) % 48.87/49.03 (assume @p65 (forall @t6 (and (=> @t167 (= @t164 (forall @t114 (= @t161 (forall @t108 (=> @t166 @t165)))))) (=> @t144 (= @t164 @t145))))) % 48.87/49.03 (assume @p66 (forall @t13 (=> @t169 (= @t41 @t168)))) % 48.87/49.03 (assume @p67 (forall @t6 (= (= @t2 @t154) (forall @t114 (= @t161 (= @t53 @t1)))))) % 48.87/49.03 (assume @p68 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (= @t171 (tptp.subset_complement @t69 (tptp.topstr_closure @t1 @t170)))))))) % 48.87/49.03 (assume @p69 (forall @t13 (=> @t125 (forall @t11 (=> @t160 (= @t173 (forall @t114 (=> @t123 (=> @t161 @t172))))))))) % 48.87/49.03 (assume @p70 (forall @t13 (=> @t52 (forall @t103 (= (= @t53 (tptp.fiber @t1 @t2)) (forall @t108 (= @t107 (and (not @t174) (tptp.in (tptp.ordered_pair @t84 @t2) @t1))))))))) % 48.87/49.03 (assume @p71 (forall @t6 (=> @t92 (= (= @t2 @t177) (and (= @t176 @t1) (forall @t89 (=> (and @t86 @t166) (= @t88 @t175)))))))) % 48.87/49.03 (assume @p72 (forall @t13 (= @t144 (forall @t11 @t4)))) % 48.87/49.03 (assume @p73 (forall @t6 (= (= @t2 @t24) (forall @t114 (= @t161 (tptp.subset @t53 @t1)))))) % 48.87/49.03 (assume @p74 (forall @t13 (= (tptp.centered @t1) (and @t167 (forall @t11 (not (and @t179 @t93 @t60 (= @t178 tptp.empty_set)))))))) % 48.87/49.03 (assume @p75 (forall @t13 (=> (and @t42 @t77) (forall @t11 (=> @t71 (forall @t114 (=> @t70 (= @t181 (tptp.apply_binary_as_element @t69 @t69 @t69 @t180 @t2 @t53))))))))) % 48.87/49.03 (assume @p76 (forall @t13 (=> @t153 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t89 (=> @t152 @t182))))))) % 48.87/49.03 (assume @p77 (forall @t13 (= @t50 (forall @t11 (=> @t3 @t93))))) % 48.87/49.03 (assume @p78 (forall @t13 (=> @t169 (= @t183 tptp.empty_set)))) % 48.87/49.03 (assume @p79 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (= @t95 (forall @t89 (= @t184 @t88)))))))) % 48.87/49.03 (assume @p80 (forall @t6 (and (=> @t186 (= @t10 @t3)) (=> @t22 (= @t10 @t185))))) % 48.87/49.03 (assume @p81 (forall @t57 (= (= @t53 @t65) (forall @t108 (= @t107 (or (= @t84 @t1) @t174)))))) % 48.87/49.03 (assume @p82 (forall @t13 (=> @t125 (forall @t11 (=> @t160 (= @t188 @t187)))))) % 48.87/49.03 (assume @p83 (forall @t13 (=> @t52 (= @t189 (forall @t11 (not (and (tptp.subset @t2 @t115) @t179 (forall @t114 (not (and @t161 (tptp.disjoint (tptp.fiber @t1 @t53) @t2))))))))))) % 48.87/49.03 (assume @p84 (forall @t57 (= (= @t53 @t67) (forall @t108 (= @t107 (or @t166 @t99)))))) % 48.87/49.03 (assume @p85 (forall @t57 (= (= @t53 @t55) (forall @t108 (= @t107 (exists @t193 (and @t112 @t192 (= @t84 @t191)))))))) % 48.87/49.03 (assume @p86 (forall @t13 (=> @t125 (= @t197 (forall @t11 (=> @t160 (not (and @t196 @t173 (forall @t114 (=> @t195 (not (and @t194 (tptp.is_a_cover_of_carrier @t1 @t53) (tptp.finite @t53))))))))))))) % 48.87/49.03 (assume @p87 (forall @t13 (=> @t150 (forall @t11 (=> @t71 (forall @t114 (=> @t70 (= @t198 (= @t149 @t53))))))))) % 48.87/49.03 (assume @p88 (forall @t13 (= @t49 (forall @t103 (not (and @t3 @t86 (not @t201) @t200 @t199)))))) % 48.87/49.03 (assume @p89 (forall @t13 (=> @t169 (= @t202 @t69)))) % 48.87/49.03 (assume @p90 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (= @t94 (forall @t89 (=> @t184 @t88)))))))) % 48.87/49.03 (assume @p91 (forall @t6 (= @t94 @t203))) % 48.87/49.03 (assume @p92 (forall @t13 (=> @t52 (forall @t11 (= @t205 (forall @t114 (not (and @t194 @t204 (forall @t108 (not (and @t107 (tptp.disjoint (tptp.fiber @t1 @t84) @t53)))))))))))) % 48.87/49.03 (assume @p93 (forall @t57 (= (= @t53 @t75) (forall @t108 (= @t107 (and @t166 @t99)))))) % 48.87/49.03 (assume @p94 (forall @t13 (=> @t111 (forall @t103 (and (=> @t208 (= @t207 @t140)) (=> (not @t208) (= @t207 @t142))))))) % 48.87/49.03 (assume @p95 (forall @t13 (= @t32 @t51))) % 48.87/49.03 (assume @p96 (forall @t13 (=> @t52 (forall @t11 (= (= @t2 @t105) (forall @t114 (= @t161 (exists @t108 @t184)))))))) % 48.87/49.03 (assume @p97 (forall @t13 (=> @t52 (forall @t11 (= @t210 (forall @t89 (=> (and @t161 @t99 @t184 @t209) @t85))))))) % 48.87/49.03 (assume @p98 (forall @t13 (= @t211 @t1))) % 48.87/49.03 (assume @p99 (forall @t6 (= (= @t2 @t212) (forall @t114 (= @t161 (exists @t108 (and @t165 @t166))))))) % 48.87/49.03 (assume @p100 (forall @t13 (=> @t52 (= @t214 (and @t213 @t128 @t116 @t127 @t189))))) % 48.87/49.03 (assume @p101 (forall @t6 (= @t220 (exists @t114 (and @t54 @t219 @t218 @t217 (= @t215 @t2)))))) % 48.87/49.03 (assume @p102 (forall @t57 (= (= @t53 @t221) (forall @t108 (= @t107 (and @t166 (not @t99))))))) % 48.87/49.03 (assume @p103 (forall @t13 (=> @t111 (forall @t11 (= @t224 (forall @t114 (= @t161 (exists @t108 @t222)))))))) % 48.87/49.03 (assume @p104 (forall @t13 (=> @t227 (= @t226 (tptp.is_transitive_in @t225 @t69))))) % 48.87/49.03 (assume @p105 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t228 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t94))))))) % 48.87/49.03 (assume @p106 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (= @t229 @t157)))))) % 48.87/49.03 (assume @p107 (forall @t13 (=> @t52 (forall @t11 (= @t224 (forall @t114 (= @t161 (exists @t108 @t209)))))))) % 48.87/49.03 (assume @p108 (forall @t6 (=> @t25 (= @t230 @t221)))) % 48.87/49.03 (assume @p109 (forall @t6 (= @t231 (tptp.unordered_pair @t65 @t154)))) % 48.87/49.03 (assume @p110 (forall @t13 (=> @t52 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t162 @t233 @t210 @t232 @t205)))))) % 48.87/49.03 (assume @p111 (forall @t13 (=> @t227 (= @t234 (tptp.is_antisymmetric_in @t225 @t69))))) % 48.87/49.03 (assume @p112 (forall @t13 (= @t228 (= @t1 @t212)))) % 48.87/49.03 (assume @p113 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (= @t236 (tptp.open_subset @t235 @t1))))))) % 48.87/49.03 (assume @p114 (forall @t13 (=> @t52 (= @t115 (tptp.set_union2 @t105 @t223))))) % 48.87/49.03 (assume @p115 (forall @t13 (=> @t52 (forall @t11 (= @t232 (forall @t89 (not (and @t161 @t99 (not @t85) (not @t184) (not @t209))))))))) % 48.87/49.03 (assume @p116 (forall @t13 (=> @t52 (forall @t11 (= @t238 (tptp.set_intersection2 @t1 @t237)))))) % 48.87/49.03 (assume @p117 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (= (= @t2 @t239) (forall @t89 (= @t88 @t209)))))))) % 48.87/49.03 (assume @p118 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (forall @t114 (=> @t243 (= @t242 (and (= @t216 @t115) (= @t215 @t176) @t218 (forall @t101 (= @t98 (and (tptp.in @t84 @t115) (tptp.in @t96 @t115) (tptp.in (tptp.ordered_pair @t241 @t240) @t2))))))))))))) % 48.87/49.03 (assume @p119 (forall @t6 (= @t244 (= @t75 tptp.empty_set)))) % 48.87/49.03 (assume @p120 @t248) % 48.87/49.03 (assume @p121 (forall @t13 (=> @t111 (= @t61 (forall @t103 (=> (and @t208 (tptp.in @t53 @t105) (= @t206 (tptp.apply @t1 @t53))) @t151)))))) % 48.87/49.03 (assume @p122 (forall @t13 (=> (and @t42 @t47) (= @t38 (forall @t11 (=> @t71 (forall @t114 (=> @t70 (= (tptp.join @t1 @t181 @t53) @t53))))))))) % 48.87/49.03 (assume @p123 (forall @t13 (=> @t169 (forall @t11 (=> @t160 (= @t196 (= @t202 @t158))))))) % 48.87/49.03 (assume @p124 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (forall @t114 (=> @t54 (= (= @t53 @t250) (forall @t101 (= @t100 (exists @t249 (and (tptp.in (tptp.ordered_pair @t84 @t190) @t1) (tptp.in (tptp.ordered_pair @t190 @t96) @t2))))))))))))) % 48.87/49.03 (assume @p125 (forall @t13 (=> @t52 (forall @t11 (= @t233 (forall @t251 (=> (and @t161 @t99 @t104 @t184 @t98) (tptp.in (tptp.ordered_pair @t53 @t96) @t1)))))))) % 48.87/49.03 (assume @p126 (forall @t6 (=> @t254 (forall @t114 (=> (tptp.element @t53 @t253) (= (= @t53 @t252) (forall @t108 (=> (tptp.element @t84 @t24) (= @t107 (tptp.in (tptp.subset_complement @t1 @t84) @t2)))))))))) % 48.87/49.03 (assume @p127 (forall @t6 (= @t8 (and @t94 @t255)))) % 48.87/49.03 (assume @p128 (forall @t13 (=> @t111 (=> @t61 (= @t256 @t239))))) % 48.87/49.03 (assume @p129 (forall @t13 (=> @t227 (forall @t11 (=> @t71 (forall @t114 (=> @t70 (= @t257 (tptp.in @t139 @t225))))))))) % 48.87/49.03 (assume @p130 (forall @t13 (=> @t52 (= @t213 (tptp.is_reflexive_in @t1 @t115))))) % 48.87/49.03 (assume @p131 true) % 48.87/49.03 (assume @p132 (forall @t134 (=> @t262 (tptp.element @t258 @t55)))) % 48.87/49.03 (assume @p133 (forall @t57 (=> (and @t42 @t72 @t71 @t70) (tptp.element @t149 @t69)))) % 48.87/49.03 (assume @p134 (forall @t13 (=> @t169 (tptp.element @t183 @t120)))) % 48.87/49.03 (assume @p135 (forall @t6 (=> @t263 (tptp.element @t171 @t120)))) % 48.87/49.03 (assume @p136 (forall @t13 (tptp.relation @t177))) % 48.87/49.03 (assume @p137 (forall @t267 (=> @t266 (tptp.element @t264 @t53)))) % 48.87/49.03 (assume @p138 (forall @t13 (=> @t111 (and (tptp.relation @t256) (tptp.function @t256))))) % 48.87/49.03 (assume @p139 (forall @t57 (=> (and @t42 @t77 @t71 @t70) (tptp.element @t181 @t69)))) % 48.87/49.03 (assume @p140 (forall @t13 (=> @t169 (tptp.element @t202 @t120)))) % 48.87/49.03 (assume @p141 (forall @t13 (tptp.element @t211 @t24))) % 48.87/49.03 (assume @p142 (forall @t6 (=> @t52 (tptp.relation @t238)))) % 48.87/49.03 (assume @p143 (forall @t57 (=> @t73 (tptp.element @t68 @t69)))) % 48.87/49.03 (assume @p144 (forall @t6 (=> @t25 (tptp.element @t230 @t24)))) % 48.87/49.03 (assume @p145 (forall @t57 (=> @t78 (tptp.element @t76 @t69)))) % 48.87/49.03 (assume @p146 (forall @t13 (=> @t52 @t268))) % 48.87/49.03 (assume @p147 (forall @t57 (=> @t163 (tptp.element @t146 @t24)))) % 48.87/49.03 (assume @p148 (forall @t6 (=> @t270 @t269))) % 48.87/49.03 (assume @p149 (forall @t57 (=> @t163 (tptp.element @t272 @t271)))) % 48.87/49.03 (assume @p150 (forall @t6 (=> @t254 (tptp.element @t273 @t24)))) % 48.87/49.03 (assume @p151 (forall @t57 (=> @t81 (tptp.element @t79 @t24)))) % 48.87/49.03 (assume @p152 (forall @t6 (=> @t263 (tptp.element @t122 @t120)))) % 48.87/49.03 (assume @p153 (forall @t13 @t274)) % 48.87/49.03 (assume @p154 (forall @t6 (=> @t254 (tptp.element @t275 @t24)))) % 48.87/49.03 (assume @p155 (forall @t57 (=> @t81 (tptp.element @t276 @t24)))) % 48.87/49.03 (assume @p156 (forall @t6 (=> @t52 @t277))) % 48.87/49.03 (assume @p157 (forall @t6 (=> @t254 (tptp.element @t252 @t253)))) % 48.87/49.03 (assume @p158 (forall @t6 (=> @t92 @t278))) % 48.87/49.03 (assume @p159 (forall @t13 (=> @t247 (tptp.relation @t245)))) % 48.87/49.03 (assume @p160 @t279) % 48.87/49.03 (assume @p161 (forall @t13 (=> @t227 @t169))) % 48.87/49.03 (assume @p162 (forall @t13 (=> @t125 @t169))) % 48.87/49.03 (assume @p163 (forall @t13 (=> @t72 @t169))) % 48.87/49.03 (assume @p164 @t281) % 48.87/49.03 (assume @p165 (forall @t6 (=> @t282 (forall @t114 (=> @t130 @t123))))) % 48.87/49.03 (assume @p166 (forall @t57 (=> @t147 @t56))) % 48.87/49.03 (assume @p167 (forall @t13 (=> @t77 (and (tptp.function @t180) (tptp.quasi_total @t180 @t283 @t69) (tptp.relation_of2_as_subset @t180 @t283 @t69))))) % 48.87/49.03 (assume @p168 (forall @t13 (=> @t227 (tptp.relation_of2_as_subset @t225 @t69 @t69)))) % 48.87/49.03 (assume @p169 (forall @t13 (=> @t125 (tptp.element @t156 @t159)))) % 48.87/49.03 (assume @p170 (forall @t13 (=> @t72 (and (tptp.function @t148) (tptp.quasi_total @t148 @t283 @t69) (tptp.relation_of2_as_subset @t148 @t283 @t69))))) % 48.87/49.03 (assume @p171 (exists @t13 @t77)) % 48.87/49.03 (assume @p172 (exists @t13 @t227)) % 48.87/49.03 (assume @p173 (exists @t13 @t125)) % 48.87/49.03 (assume @p174 (exists @t13 @t169)) % 48.87/49.03 (assume @p175 (exists @t13 @t72)) % 48.87/49.03 (assume @p176 (exists @t13 @t47)) % 48.87/49.03 (assume @p177 (forall @t6 (=> @t282 (exists @t114 @t130)))) % 48.87/49.03 (assume @p178 (forall @t6 (exists @t114 @t163))) % 48.87/49.03 (assume @p179 (forall @t13 (exists @t11 @t10))) % 48.87/49.03 (assume @p180 (forall @t6 (exists @t114 @t147))) % 48.87/49.03 (assume @p181 (forall @t6 (=> @t60 @t284))) % 48.87/49.03 (assume @p182 (forall @t6 (=> @t286 (and (tptp.empty @t285) (tptp.relation @t285))))) % 48.87/49.03 (assume @p183 (forall @t6 (=> @t33 @t284))) % 48.87/49.03 (assume @p184 (forall @t13 (=> @t22 (and (tptp.empty @t239) @t268)))) % 48.87/49.03 (assume @p185 (forall @t6 (=> @t33 (tptp.finite @t221)))) % 48.87/49.03 (assume @p186 (and @t289 @t288 @t287)) % 48.87/49.03 (assume @p187 (forall @t6 (=> (and @t52 @t36 @t60) (tptp.finite @t109)))) % 48.87/49.03 (assume @p188 (forall @t6 (=> @t291 (and @t277 (tptp.relation_empty_yielding @t102))))) % 48.87/49.03 (assume @p189 (forall @t13 (and @t292 (tptp.finite @t154)))) % 48.87/49.03 (assume @p190 (forall @t13 (and @t293 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 48.87/49.03 (assume @p191 (forall @t6 (=> (and @t52 @t36 @t92 @t137) (and @t269 (tptp.function @t250))))) % 48.87/49.03 (assume @p192 (forall @t13 @t294)) % 48.87/49.03 (assume @p193 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 48.87/49.03 (assume @p194 (forall @t13 (=> @t169 (and (tptp.empty @t183) (tptp.v1_membered @t183) (tptp.v2_membered @t183) (tptp.v3_membered @t183) (tptp.v4_membered @t183) (tptp.v5_membered @t183))))) % 48.87/49.03 (assume @p195 (forall @t6 (=> @t270 (tptp.relation @t75)))) % 48.87/49.03 (assume @p196 @t297) % 48.87/49.03 (assume @p197 (forall @t13 @t293)) % 48.87/49.03 (assume @p198 @t289) % 48.87/49.03 (assume @p199 (forall @t6 (not (tptp.empty @t231)))) % 48.87/49.03 (assume @p200 (forall @t6 (=> @t12 @t298))) % 48.87/49.03 (assume @p201 (forall @t6 (=> @t12 @t299))) % 48.87/49.03 (assume @p202 (forall @t6 (=> @t15 (and @t298 @t300)))) % 48.87/49.03 (assume @p203 (forall @t13 (=> (and @t32 @t58) (and @t294 @t303 @t302 @t301 (tptp.natural @t155))))) % 48.87/49.03 (assume @p204 (forall @t13 (and @t274 (tptp.function @t90)))) % 48.87/49.03 (assume @p205 (and @t288 @t287 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t289 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 48.87/49.03 (assume @p206 (forall @t13 (=> @t296 (not (tptp.empty @t202))))) % 48.87/49.03 (assume @p207 (forall @t6 (=> @t270 (tptp.relation @t67)))) % 48.87/49.03 (assume @p208 (forall @t13 @t292)) % 48.87/49.03 (assume @p209 (forall @t6 (=> @t304 (tptp.closed_subset @t122 @t1)))) % 48.87/49.03 (assume @p210 (forall @t6 (=> @t186 (not (tptp.empty @t67))))) % 48.87/49.03 (assume @p211 (forall @t6 (=> @t15 (and @t299 @t305)))) % 48.87/49.03 (assume @p212 (forall @t6 (=> @t17 (and @t298 @t300 @t306)))) % 48.87/49.03 (assume @p213 (forall @t6 (=> @t17 (and @t299 @t305 @t307)))) % 48.87/49.04 (assume @p214 (forall @t6 (=> @t19 (and @t298 @t300 @t306 @t308)))) % 48.87/49.04 (assume @p215 (forall @t6 (=> @t19 (and @t299 @t305 @t307 @t309)))) % 48.87/49.04 (assume @p216 (forall @t6 (=> @t21 (and @t298 @t300 @t306 @t308 (tptp.v5_membered @t75))))) % 48.87/49.04 (assume @p217 (forall @t6 (=> @t21 (and @t299 @t305 @t307 @t309 (tptp.v5_membered @t74))))) % 48.87/49.04 (assume @p218 (forall @t6 (=> @t12 @t310))) % 48.87/49.04 (assume @p219 (forall @t6 (=> @t15 (and @t310 @t311)))) % 48.87/49.04 (assume @p220 (forall @t6 (=> @t17 (and @t310 @t311 @t312)))) % 48.87/49.04 (assume @p221 (forall @t13 (=> @t62 (and @t268 (tptp.function @t239))))) % 48.87/49.04 (assume @p222 (forall @t13 (=> @t32 (and @t294 @t303 @t302 @t301)))) % 48.87/49.04 (assume @p223 (forall @t6 (=> @t270 (tptp.relation @t221)))) % 48.87/49.04 (assume @p224 (forall @t6 (not (tptp.empty @t65)))) % 48.87/49.04 (assume @p225 (forall @t6 (=> (and @t131 @t125 @t236 @t124) @t313))) % 48.87/49.04 (assume @p226 (forall @t6 (=> @t186 (not (tptp.empty @t66))))) % 48.87/49.04 (assume @p227 (forall @t6 (=> @t19 (and @t310 @t311 @t312 @t314)))) % 48.87/49.04 (assume @p228 (forall @t6 (=> @t21 (and @t310 @t311 @t312 @t314 (tptp.v5_membered @t221))))) % 48.87/49.04 (assume @p229 (forall @t6 (=> @t111 (and @t277 (tptp.function @t102))))) % 48.87/49.04 (assume @p230 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t212) (tptp.epsilon_connected @t212) (tptp.ordinal @t212))))) % 48.87/49.04 (assume @p231 (and @t289 @t288)) % 48.87/49.04 (assume @p232 (forall @t6 (=> (and @t186 @t261) (not (tptp.empty @t55))))) % 48.87/49.04 (assume @p233 (forall @t6 (=> (and @t131 @t125 @t229 @t124) @t315))) % 48.87/49.04 (assume @p234 (forall @t6 (=> @t316 (and @t278 (tptp.function @t113))))) % 48.87/49.04 (assume @p235 (forall @t13 (=> @t317 (tptp.closed_subset @t202 @t1)))) % 48.87/49.04 (assume @p236 (forall @t13 (=> @t319 (not @t318)))) % 48.87/49.04 (assume @p237 (and @t289 (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))) % 48.87/49.04 (assume @p238 (forall @t13 (=> @t319 (not @t320)))) % 48.87/49.04 (assume @p239 (forall @t6 (=> @t304 @t321))) % 48.87/49.04 (assume @p240 (forall @t13 (=> @t22 (and @t318 (tptp.relation @t105))))) % 48.87/49.04 (assume @p241 (forall @t13 (=> @t22 (and @t320 (tptp.relation @t223))))) % 48.87/49.04 (assume @p242 (forall @t6 (=> (and @t33 @t60) (tptp.finite @t67)))) % 48.87/49.04 (assume @p243 (forall @t6 (=> @t286 (and (tptp.empty @t250) @t269)))) % 48.87/49.04 (assume @p244 @t337) % 48.87/49.04 (assume @p245 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 48.87/49.04 (assume @p246 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 48.87/49.04 (assume @p247 (forall @t57 (=> @t81 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 48.87/49.04 (assume @p248 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t230) @t2)))) % 48.87/49.04 (assume @p249 (forall @t13 (=> @t52 (= (tptp.relation_inverse @t239) @t1)))) % 48.87/49.04 (assume @p250 (forall @t6 (=> @t254 (= (tptp.complements_of_subsets @t1 @t252) @t2)))) % 48.87/49.04 (assume @p251 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 48.87/49.04 (assume @p252 (forall @t13 (=> @t52 (= @t213 (forall @t11 (=> @t338 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 48.87/49.04 (assume @p253 (forall @t13 (not (= @t154 tptp.empty_set)))) % 48.87/49.04 (assume @p254 (forall @t6 (=> @t5 (= (tptp.set_union2 @t154 @t2) @t2)))) % 48.87/49.04 (assume @p255 (forall @t6 (not (and @t339 @t5)))) % 48.87/49.04 (assume @p256 (forall @t6 (=> @t340 @t339))) % 48.87/49.04 (assume @p257 (forall @t6 (=> @t92 (tptp.subset (tptp.relation_dom @t113) @t135)))) % 48.87/49.04 (assume @p258 (forall @t13 (=> @t52 (= @t128 (forall @t141 (=> (and @t140 @t184) @t138)))))) % 48.87/49.04 (assume @p259 (forall @t6 (= (tptp.subset @t154 @t2) @t5))) % 48.87/49.04 (assume @p260 (forall @t6 (=> @t92 (not (and @t341 (tptp.equipotent @t1 @t176) (forall @t114 (=> @t54 (not (tptp.well_orders @t53 @t1))))))))) % 48.87/49.04 (assume @p261 (forall @t6 (= (= @t221 tptp.empty_set) @t94))) % 48.87/49.04 (assume @p262 (forall @t6 (=> @t25 (forall @t114 (=> @t161 @t86))))) % 48.87/49.04 (assume @p263 (forall @t13 (=> @t52 (= @t116 (forall @t103 (=> (and @t140 @t342) @t151)))))) % 48.87/49.04 (assume @p264 (forall @t57 (=> @t94 (or @t86 (tptp.subset @t1 (tptp.set_difference @t2 @t343)))))) % 48.87/49.04 (assume @p265 (forall @t13 (=> @t296 (forall @t11 (=> @t124 (forall @t114 (=> @t70 (= (tptp.in @t53 @t170) @t199)))))))) % 48.87/49.04 (assume @p266 (forall @t13 (=> @t52 (= @t127 (forall @t103 (not (and @t338 (tptp.in @t53 @t115) @t200 @t344 (not @t342)))))))) % 48.87/49.04 (assume @p267 (forall @t6 (= (tptp.subset @t1 @t345) (or @t144 (= @t1 @t345))))) % 48.87/49.04 (assume @p268 (forall @t6 (=> @t5 (tptp.subset @t1 @t346)))) % 48.87/49.04 (assume @p269 (forall @t134 (= (tptp.in @t231 (tptp.cartesian_product2 @t53 @t84)) (and @t347 (tptp.in @t2 @t84))))) % 48.87/49.04 (assume @p270 (forall @t6 (=> @t203 @t348))) % 48.87/49.04 (assume @p271 (forall @t57 (=> @t243 (= @t350 (and (tptp.in @t2 @t216) @t3))))) % 48.87/49.04 (assume @p272 (exists @t13 (and @t186 @t50 @t49 @t32 @t58))) % 48.87/49.04 (assume @p273 (exists @t13 (and @t186 @t33))) % 48.87/49.04 (assume @p274 (exists @t13 @t111)) % 48.87/49.04 (assume @p275 (forall @t6 (exists @t114 (and @t163 @t54 @t219 @t143)))) % 48.87/49.04 (assume @p276 (exists @t13 (and @t186 @t12 @t15 @t17 @t19 @t21))) % 48.87/49.04 (assume @p277 (exists @t13 @t64)) % 48.87/49.04 (assume @p278 (exists @t13 (and @t50 @t49 @t32 @t228))) % 48.87/49.04 (assume @p279 (exists @t13 (and @t52 @t36 @t61 @t22))) % 48.87/49.04 (assume @p280 (exists @t13 (and @t22 @t52))) % 48.87/49.04 (assume @p281 (forall @t13 (=> @t186 (exists @t11 (and @t25 @t261))))) % 48.87/49.04 (assume @p282 (forall @t13 (=> @t317 (exists @t11 (and @t124 @t229))))) % 48.87/49.04 (assume @p283 (exists @t13 @t22)) % 48.87/49.04 (assume @p284 (forall @t13 (exists @t11 (and @t25 @t185 @t92 @t137 @t351 @t31 @t30 @t29 @t20 @t60)))) % 48.87/49.04 (assume @p285 (exists @t13 @t63)) % 48.87/49.04 (assume @p286 (exists @t13 (and @t52 @t36 @t61 @t22 @t50 @t49 @t32))) % 48.87/49.04 (assume @p287 (forall @t6 (exists @t114 (and @t163 @t54 @t219)))) % 48.87/49.04 (assume @p288 (exists @t13 @t319)) % 48.87/49.04 (assume @p289 (forall @t13 (exists @t11 (and @t25 @t185)))) % 48.87/49.04 (assume @p290 (forall @t13 (=> @t317 (exists @t11 (and @t124 @t229 @t236))))) % 48.87/49.04 (assume @p291 (exists @t13 @t186)) % 48.87/49.04 (assume @p292 (forall @t13 (=> @t186 (exists @t11 (and @t25 @t261 @t60))))) % 48.87/49.04 (assume @p293 (exists @t13 @t62)) % 48.87/49.04 (assume @p294 (exists @t13 (and @t186 @t50 @t49 @t32))) % 48.87/49.04 (assume @p295 (exists @t13 @t291)) % 48.87/49.04 (assume @p296 (exists @t13 (and @t169 @t42))) % 48.87/49.04 (assume @p297 (exists @t13 (and @t52 @t290 @t36))) % 48.87/49.04 (assume @p298 (forall @t13 (=> @t296 (exists @t11 (and @t124 @t261))))) % 48.87/49.04 (assume @p299 (forall @t13 (=> @t317 (exists @t11 (and @t124 @t236))))) % 48.87/49.04 (assume @p300 (forall @t13 (=> @t132 (exists @t11 (and @t124 @t261 @t236))))) % 48.87/49.04 (assume @p301 @t353) % 48.87/49.04 (assume @p302 (forall @t267 (=> @t266 (= @t264 (tptp.apply_binary @t84 @t96 @t190))))) % 48.87/49.04 (assume @p303 (forall @t57 (=> @t73 (= @t68 @t149)))) % 48.87/49.04 (assume @p304 (forall @t57 (=> @t78 (= @t76 @t181)))) % 48.87/49.04 (assume @p305 (forall @t57 (=> @t163 (= @t146 @t216)))) % 48.87/49.04 (assume @p306 (forall @t57 (=> @t163 (= @t272 @t215)))) % 48.87/49.04 (assume @p307 (forall @t6 (=> @t254 (= @t273 @t346)))) % 48.87/49.04 (assume @p308 (forall @t57 (=> @t81 (= @t79 @t354)))) % 48.87/49.04 (assume @p309 (forall @t6 (=> @t254 (= @t275 @t178)))) % 48.87/49.04 (assume @p310 (forall @t57 (=> @t81 (= @t276 @t355)))) % 48.87/49.04 (assume @p311 (forall @t57 (= @t147 @t163))) % 48.87/49.04 (assume @p312 (forall @t6 (=> @t83 (= @t82 @t94)))) % 48.87/49.04 (assume @p313 (forall @t6 (= @t220 (tptp.are_equipotent @t1 @t2)))) % 48.87/49.04 (assume @p314 @t359) % 48.87/49.04 (assume @p315 (forall @t6 (=> @t83 (tptp.ordinal_subset @t1 @t1)))) % 48.87/49.04 (assume @p316 (forall @t6 (tptp.subset @t1 @t1))) % 48.87/49.04 (assume @p317 (forall @t6 (tptp.equipotent @t1 @t1))) % 48.87/49.04 (assume @p318 (forall @t57 (=> @t357 (tptp.below_refl @t1 @t2 @t2)))) % 48.87/49.04 (assume @p319 (forall @t6 (=> @t377 (=> @t376 (exists @t114 (and @t54 @t219 (forall @t101 (= @t100 (and @t166 @t166 (exists @t364 (and (= @t84 @t361) (tptp.in @t96 @t361) (forall @t363 (=> @t362 (tptp.in (tptp.ordered_pair @t96 @t360) @t2)))))))))))))) % 48.87/49.04 (assume @p320 (forall @t13 (=> @t380 (exists @t11 (and @t92 @t137 (forall @t89 (= @t88 (and @t86 @t86 (= @t84 @t343))))))))) % 48.87/49.04 (assume @p321 (forall @t6 (=> @t393 (=> @t392 (exists @t114 (and @t54 @t219 (forall @t101 (= @t100 (and @t386 @t386 @t384))))))))) % 48.87/49.04 (assume @p322 (forall @t6 (=> @t393 (=> @t394 (exists @t114 (and @t54 @t219 (forall @t101 (= @t100 (and @t99 @t99 @t384))))))))) % 48.87/49.04 (assume @p323 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t114 (=> @t395 (=> @t86 (tptp.ordinal_subset @t2 @t53))))))))) % 48.87/49.04 (assume @p324 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t419)) (not (and @t167 (forall @t11 (not (and @t3 (forall @t114 (=> (and @t86 @t418) (= @t53 @t2))))))))))) (forall @t108 (=> @t402 (=> @t417 (=> (tptp.in @t416 tptp.omega) (forall @t370 (=> (tptp.element @t367 (tptp.powerset (tptp.powerset @t416))) (not (and (not (= @t367 tptp.empty_set)) (forall @t369 (not (and @t368 (forall @t364 (=> (and (tptp.in @t361 @t367) (tptp.subset @t366 @t361)) (= @t361 @t366)))))))))))))) (forall @t108 (=> @t402 (=> (and (tptp.being_limit_ordinal @t84) (forall @t363 (=> (tptp.ordinal @t360) (=> (tptp.in @t360 @t84) (=> (tptp.in @t360 tptp.omega) (forall @t415 (=> (tptp.element @t411 (tptp.powerset (tptp.powerset @t360))) (not (and (not (= @t411 tptp.empty_set)) (forall @t414 (not (and @t413 (forall @t412 (=> (and (tptp.in @t410 @t411) (tptp.subset @t409 @t410)) (= @t410 @t409))))))))))))))) (or (= @t84 tptp.empty_set) (=> @t401 (forall @t408 (=> (tptp.element @t405 @t399) (not (and (not (= @t405 tptp.empty_set)) (forall @t407 (not (and (tptp.in @t403 @t405) (forall @t406 (=> (and (tptp.in @t404 @t405) (tptp.subset @t403 @t404)) (= @t404 @t403)))))))))))))))) (forall @t108 (=> @t402 (=> @t401 (forall @t400 (=> (tptp.element @t398 @t399) (not (and (not (= @t398 tptp.empty_set)) (forall (@list @t396) (not (and (tptp.in @t396 @t398) (forall (@list @t397) (=> (and (tptp.in @t397 @t398) (tptp.subset @t396 @t397)) (= @t397 @t396))))))))))))))) % 48.87/49.04 (assume @p325 (forall @t57 (=> @t423 (exists @t108 (and @t422 (forall @t193 (= (tptp.in @t191 @t84) (and @t112 @t421 (tptp.in (tptp.ordered_pair @t240 @t420) @t2))))))))) % 48.87/49.04 (assume @p326 (forall @t6 (=> @t377 (=> @t376 (exists @t114 (forall @t108 (= @t107 (exists @t106 (and @t112 @t112 (exists @t364 (and (= @t96 @t361) @t425 @t424))))))))))) % 48.87/49.04 (assume @p327 (forall @t6 (=> @t377 (forall @t114 (=> (forall @t437 (=> (and @t365 (exists @t436 (and @t435 @t433 (exists @t369 (and (= @t372 @t366) (tptp.in @t367 @t366) (forall @t364 (=> @t432 (tptp.in (tptp.ordered_pair @t367 @t361) @t2))))))) @t431 (exists @t430 (and (= @t429 @t190) (tptp.in @t360 @t1) (exists @t414 (and (= @t360 @t409) (tptp.in @t411 @t409) (forall @t412 (=> (tptp.in @t410 @t409) (tptp.in (tptp.ordered_pair @t411 @t410) @t2)))))))) @t428)) (exists @t108 (forall @t106 (= @t133 (exists @t249 (and (tptp.in @t190 @t427) @t426 (exists (@list @t405 @t403) (and (= (tptp.ordered_pair @t405 @t403) @t96) (tptp.in @t405 @t1) (exists @t406 (and (= @t405 @t404) (tptp.in @t403 @t404) (forall @t400 (=> (tptp.in @t398 @t404) (tptp.in (tptp.ordered_pair @t403 @t398) @t2))))))))))))))))) % 48.87/49.04 (assume @p328 (forall @t13 (=> @t380 (exists @t11 (forall @t114 (= @t161 (exists @t108 (and @t166 @t166 (= @t53 (tptp.singleton @t84)))))))))) % 48.87/49.04 (assume @p329 (forall @t6 (=> (forall @t251 (=> (and @t85 (exists @t444 (and (= @t443 @t84) @t421 (= @t372 (tptp.singleton @t190)))) @t442 (exists (@list @t367 @t366) (and (= (tptp.ordered_pair @t367 @t366) @t96) @t441 (= @t366 (tptp.singleton @t367))))) @t365)) (exists @t114 (forall @t108 (= @t107 (exists @t106 (and (tptp.in @t96 @t55) @t440 (exists @t439 (and (= @t438 @t84) (tptp.in @t361 @t1) (= @t360 (tptp.singleton @t361)))))))))))) % 48.87/49.04 (assume @p330 (forall @t13 (=> @t32 (=> (forall @t141 (=> (and @t151 (exists @t106 (and @t447 @t442 (=> (tptp.in @t96 tptp.omega) (forall @t249 (=> (tptp.element @t190 (tptp.powerset (tptp.powerset @t96))) @t446))))) @t182 (exists @t369 (and (tptp.ordinal @t366) (= @t84 @t366) (=> (tptp.in @t366 tptp.omega) (forall @t364 (=> (tptp.element @t361 (tptp.powerset (tptp.powerset @t366))) (not (and (not (= @t361 tptp.empty_set)) (forall @t363 (not (and @t362 (forall @t415 (=> (and (tptp.in @t411 @t361) (tptp.subset @t360 @t411)) (= @t411 @t360)))))))))))))) @t85)) (exists @t11 (forall @t114 (= @t161 (exists @t108 (and (tptp.in @t84 @t155) @t445 (exists @t414 (and (tptp.ordinal @t409) (= @t53 @t409) (=> (tptp.in @t409 tptp.omega) (forall @t412 (=> (tptp.element @t410 (tptp.powerset (tptp.powerset @t409))) (not (and (not (= @t410 tptp.empty_set)) (forall @t408 (not (and (tptp.in @t405 @t410) (forall @t407 (=> (and (tptp.in @t403 @t410) (tptp.subset @t405 @t403)) (= @t403 @t405)))))))))))))))))))))) % 48.87/49.04 (assume @p331 (forall @t6 (=> @t304 (=> (forall @t251 (=> (and @t85 (exists @t249 (and @t390 (= @t190 @t84) (tptp.closed_subset @t190 @t1) @t448)) @t442 (exists @t374 (and @t387 (= @t372 @t96) (tptp.closed_subset @t372 @t1) (tptp.subset @t2 @t96)))) @t365)) (exists @t114 (forall @t108 (= @t107 (exists @t106 (and @t449 @t440 (exists @t370 (and @t383 @t382 (tptp.closed_subset @t367 @t1) @t448))))))))))) % 48.87/49.04 (assume @p332 (forall @t6 (=> @t451 (=> (forall @t251 (=> (and @t85 @t450 @t442 (tptp.in (tptp.set_difference @t202 @t96) @t2)) @t365)) (exists @t114 (forall @t108 (= @t107 (exists @t106 (and @t449 @t440 @t450))))))))) % 48.87/49.04 (assume @p333 (forall @t6 (=> @t453 (=> (forall @t251 (=> (and @t85 (exists @t249 (and @t192 (= @t84 (tptp.set_difference @t190 @t154)))) @t442 (exists @t374 (and @t452 (= @t96 (tptp.set_difference @t372 @t154))))) @t365)) (exists @t114 (forall @t108 (= @t107 (exists @t106 (and (tptp.in @t96 @t24) @t440 (exists @t370 (and (tptp.in @t367 @t2) (= @t84 (tptp.set_difference @t367 @t154))))))))))))) % 48.87/49.04 (assume @p334 (forall @t6 (=> @t393 (=> @t392 (exists @t114 (forall @t108 (= @t107 (exists @t106 (and @t456 @t456 @t455))))))))) % 48.87/49.04 (assume @p335 (forall @t6 (=> @t393 (forall @t114 (=> (forall @t437 (=> (and @t365 (exists @t436 (and @t435 (tptp.in @t372 @t385) @t465)) @t431 (exists @t439 (and @t462 (tptp.in @t361 @t385) @t461))) @t428)) (exists @t108 (forall @t106 (= @t133 (exists @t249 (and (tptp.in @t190 @t460) @t426 (exists @t459 (and @t458 (tptp.in @t409 @t385) @t457)))))))))))) % 48.87/49.04 (assume @p336 (forall @t6 (=> @t393 (=> @t394 (exists @t114 (forall @t108 (= @t107 (exists @t106 (and @t104 @t104 @t455))))))))) % 48.87/49.04 (assume @p337 (forall @t6 (=> @t393 (forall @t114 (=> (forall @t437 (=> (and @t365 (exists @t436 (and @t435 @t452 @t465)) @t431 (exists @t439 (and @t462 (tptp.in @t361 @t2) @t461))) @t428)) (exists @t108 (forall @t106 (= @t133 (exists @t249 (and (tptp.in @t190 @t466) @t426 (exists @t459 (and @t458 (tptp.in @t409 @t2) @t457)))))))))))) % 48.87/49.04 (assume @p338 (forall @t57 (=> @t423 (=> (forall @t437 (=> (and @t365 (exists @t436 (and (= @t96 @t434) (tptp.in (tptp.ordered_pair @t468 (tptp.apply @t53 @t367)) @t2))) @t431 (exists (@list @t366 @t361) (and (= @t190 (tptp.ordered_pair @t366 @t361)) (tptp.in (tptp.ordered_pair (tptp.apply @t53 @t366) (tptp.apply @t53 @t361)) @t2)))) @t428)) (exists @t108 (forall @t106 (= @t133 (exists @t249 (and (tptp.in @t190 @t467) @t426 (exists @t430 (and (= @t96 @t429) (tptp.in (tptp.ordered_pair (tptp.apply @t53 @t360) (tptp.apply @t53 @t411)) @t2)))))))))))) % 48.87/49.04 (assume @p339 (forall @t13 (=> (forall @t141 (=> (and @t151 @t395 @t182 @t402) @t85)) (exists @t11 (forall @t114 (= @t161 (exists @t108 (and @t166 @t445 @t395)))))))) % 48.87/49.04 (assume @p340 (forall @t57 (=> @t471 (=> (forall @t437 (=> (and @t365 @t469 @t431 (tptp.in (tptp.relation_image @t53 @t190) @t2)) @t428)) (exists @t108 (forall @t106 (= @t133 (exists @t249 (and (tptp.in @t190 @t470) @t426 @t469))))))))) % 48.87/49.04 (assume @p341 (forall @t6 (=> @t29 (=> (forall @t251 (=> (and @t85 (exists @t249 (and (tptp.ordinal @t190) @t431 @t421)) @t442 (exists @t374 (and (tptp.ordinal @t372) (= @t96 @t372) @t433))) @t365)) (exists @t114 (forall @t108 (= @t107 (exists @t106 (and (tptp.in @t96 @t472) @t440 (exists @t370 (and (tptp.ordinal @t367) (= @t84 @t367) @t441))))))))))) % 48.87/49.04 (assume @p342 (forall @t6 (=> @t377 (forall @t114 (exists @t108 (forall @t106 (= @t133 (and (tptp.in @t96 @t427) (exists @t444 (and @t473 @t421 (exists @t370 (and (= @t190 @t367) (tptp.in @t372 @t367) (forall @t369 (=> @t368 (tptp.in (tptp.ordered_pair @t372 @t366) @t2))))))))))))))) % 48.87/49.04 (assume @p343 (forall @t6 (exists @t114 (forall @t108 (= @t107 (and (tptp.in @t84 @t55) (exists @t193 (and (= @t191 @t84) @t112 (= @t190 (tptp.singleton @t96)))))))))) % 48.87/49.04 (assume @p344 (forall @t13 (=> @t32 (exists @t11 (forall @t114 (= @t161 (and (tptp.in @t53 @t155) (exists @t108 (and @t402 @t85 @t417))))))))) % 48.87/49.04 (assume @p345 (forall @t6 (=> @t304 (exists @t114 (forall @t108 (= @t107 (and @t475 @t474))))))) % 48.87/49.04 (assume @p346 (forall @t6 (=> @t451 (exists @t114 (forall @t108 (= @t107 (and @t475 @t450))))))) % 48.87/49.04 (assume @p347 (forall @t6 (=> @t453 (exists @t114 (forall @t108 (= @t107 (and (tptp.in @t84 @t24) (exists @t106 (and @t104 (= @t84 (tptp.set_difference @t96 @t154))))))))))) % 48.87/49.04 (assume @p348 (forall @t6 (=> @t393 (forall @t114 (exists @t108 (forall @t106 (= @t133 (and (tptp.in @t96 @t460) (exists @t444 (and @t473 (tptp.in @t190 @t385) @t476)))))))))) % 48.87/49.04 (assume @p349 (forall @t6 (=> @t393 (forall @t114 (exists @t108 (forall @t106 (= @t133 (and (tptp.in @t96 @t466) (exists @t444 (and @t473 @t192 @t476)))))))))) % 48.87/49.04 (assume @p350 (forall @t57 (=> @t423 (exists @t108 (forall @t106 (= @t133 (and (tptp.in @t96 @t467) (exists @t444 (and (= @t96 @t443) (tptp.in (tptp.ordered_pair @t420 @t468) @t2)))))))))) % 48.87/49.04 (assume @p351 (forall @t13 (exists @t11 (forall @t114 (= @t161 (and @t86 @t395)))))) % 48.87/49.04 (assume @p352 (forall @t57 (=> @t471 (exists @t108 (forall @t106 (= @t133 (and (tptp.in @t96 @t470) @t469))))))) % 48.87/49.04 (assume @p353 (forall @t6 (=> @t29 (exists @t114 (forall @t108 (= @t107 (and (tptp.in @t84 @t472) (exists @t106 (and @t447 @t365 @t112))))))))) % 48.87/49.04 (assume @p354 (forall @t6 (=> @t377 (=> (and (forall @t251 (=> (and @t86 @t375 @t371) @t365)) (forall @t114 (not (and @t86 (forall @t108 (not (exists @t364 (and (= @t53 @t361) @t425 @t424)))))))) (exists @t114 (and @t54 @t219 @t217 (forall @t108 (=> @t166 (exists @t415 (and (= @t84 @t411) (tptp.in @t241 @t411) (forall @t414 (=> @t413 (tptp.in (tptp.ordered_pair @t241 @t409) @t2))))))))))))) % 48.87/49.04 (assume @p355 (forall @t13 (=> (and (forall @t141 (=> (and @t3 @t379 @t378) @t85)) (forall @t11 (not (and @t3 (forall @t114 (not @t379)))))) @t479))) % 48.87/49.04 (assume @p356 (forall @t6 (=> @t393 (=> (and (forall @t251 (=> (and @t389 @t391 @t388) @t365)) (forall @t114 (not (and @t389 @t481)))) (exists @t114 (and @t54 @t219 (= @t216 @t385) (forall @t108 (=> @t386 @t480)))))))) % 48.87/49.04 (assume @p357 (forall @t6 (=> @t393 (=> (and (forall @t251 (=> (and @t161 @t391 @t388) @t365)) (forall @t114 (not (and @t161 @t481)))) (exists @t114 (and @t54 @t219 (= @t216 @t2) (forall @t108 (=> @t99 @t480)))))))) % 48.87/49.04 (assume @p358 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t114 (=> (tptp.element @t53 (tptp.powerset @t271)) (not (and @t204 (forall @t108 (not (and @t107 (forall @t106 (=> (and (tptp.in @t96 @t53) (tptp.subset @t84 @t96)) @t440))))))))))))) (=> @t482 (forall @t249 (=> (tptp.element @t190 @t253) @t446)))))) (forall @t13 (=> @t32 (=> @t482 (forall @t369 (=> (tptp.element @t366 @t253) (not (and (not (= @t366 tptp.empty_set)) (forall @t364 (not (and @t432 (forall @t363 (=> (and (tptp.in @t360 @t366) (tptp.subset @t361 @t360)) (= @t360 @t361))))))))))))))) % 48.87/49.04 (assume @p359 (forall @t13 @t479)) % 48.87/49.04 (assume @p360 (forall @t6 (=> @t304 (exists @t114 (and @t195 (forall @t108 (=> @t483 (= @t107 @t474)))))))) % 48.87/49.04 (assume @p361 (forall @t6 (=> @t451 (exists @t114 (and @t195 (forall @t108 (=> @t483 (= @t107 @t450)))))))) % 48.87/49.04 (assume @p362 (forall @t6 (=> @t244 (tptp.disjoint @t2 @t1)))) % 48.87/49.04 (assume @p363 (forall @t6 (=> @t220 (tptp.equipotent @t2 @t1)))) % 48.87/49.04 (assume @p364 (forall @t13 (tptp.in @t1 @t155))) % 48.87/49.04 (assume @p365 (forall @t6 (=> @t254 (and @t485 (not (and (not @t484) @t145)))))) % 48.87/49.04 (assume @p366 (forall @t134 (not (and (= @t65 (tptp.unordered_pair @t53 @t84)) (not @t486) (not (= @t1 @t84)))))) % 48.87/49.04 (assume @p367 (forall @t57 (=> @t54 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t53))) (and @t5 (tptp.in @t1 @t215)))))) % 48.87/49.04 (assume @p368 (forall @t6 (=> @t92 (tptp.subset @t487 @t1)))) % 48.87/49.04 (assume @p369 (forall @t6 (=> @t92 (tptp.subset @t113 @t2)))) % 48.87/49.04 (assume @p370 (forall @t6 (=> @t92 (tptp.subset @t487 @t136)))) % 48.87/49.04 (assume @p371 (forall @t57 (=> @t94 (and (tptp.subset @t427 @t466) (tptp.subset (tptp.cartesian_product2 @t53 @t1) (tptp.cartesian_product2 @t53 @t2)))))) % 48.87/49.04 (assume @p372 (forall @t6 (=> @t92 (= @t487 (tptp.set_intersection2 @t136 @t1))))) % 48.87/49.04 (assume @p373 (forall @t134 (=> (and @t94 @t175) (tptp.subset @t427 (tptp.cartesian_product2 @t2 @t84))))) % 48.87/49.04 (assume @p374 (forall @t6 (=> @t254 (=> @t179 (= @t488 (tptp.subset_complement @t1 @t273)))))) % 48.87/49.04 (assume @p375 (forall @t57 (=> @t147 (and (tptp.subset @t216 @t1) (tptp.subset @t215 @t2))))) % 48.87/49.04 (assume @p376 (forall @t6 (=> @t254 (=> @t179 (= @t489 (tptp.subset_complement @t1 @t275)))))) % 48.87/49.04 (assume @p377 (forall @t6 (=> @t94 (= @t67 @t2)))) % 48.87/49.04 (assume @p378 (forall @t13 (exists @t11 (and @t5 @t492 (forall @t114 (=> @t161 (tptp.in @t491 @t2))) @t490)))) % 48.87/49.04 (assume @p379 (forall @t13 (=> @t132 (= @t197 (forall @t11 (=> @t160 (not (and (tptp.centered @t2) @t188 (= @t493 tptp.empty_set))))))))) % 48.87/49.04 (assume @p380 (forall @t6 (=> (and @t94 @t60) @t33))) % 48.87/49.04 (assume @p381 (forall @t13 (=> @t169 (forall @t11 (=> @t160 (= (tptp.finite @t385) @t60)))))) % 48.87/49.04 (assume @p382 (forall @t57 (=> @t54 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t53) @t2) (tptp.relation_rng_restriction @t1 @t494))))) % 48.87/49.04 (assume @p383 (forall @t57 (=> @t54 (= (tptp.in @t1 (tptp.relation_image @t53 @t2)) (exists @t108 (and (tptp.in @t84 @t216) (tptp.in (tptp.ordered_pair @t84 @t1) @t53) @t99)))))) % 48.87/49.04 (assume @p384 (forall @t6 (=> @t92 (tptp.subset @t495 @t136)))) % 48.87/49.04 (assume @p385 (forall @t6 (=> @t316 (tptp.subset @t497 @t1)))) % 48.87/49.04 (assume @p386 (forall @t6 (=> @t92 (= @t495 (tptp.relation_image @t2 @t498))))) % 48.87/49.04 (assume @p387 (forall @t6 (=> @t92 (=> (tptp.subset @t1 @t135) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t495)))))) % 48.87/49.04 (assume @p388 (forall @t13 (=> @t52 (= (tptp.relation_image @t1 @t105) @t223)))) % 48.87/49.04 (assume @p389 (forall @t6 (=> @t316 (=> @t499 (= @t497 @t1))))) % 48.87/49.04 (assume @p390 (forall @t134 (=> @t502 (=> (tptp.subset @t501 @t2) @t500)))) % 48.87/49.04 (assume @p391 (forall @t13 (=> @t169 (forall @t11 (=> @t124 (= (tptp.subset_intersection2 @t69 @t2 @t202) @t2)))))) % 48.87/49.04 (assume @p392 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (= @t503 (tptp.relation_image @t2 @t223))))))) % 48.87/49.04 (assume @p393 (forall @t57 (=> @t54 (= (tptp.in @t1 @t504) (exists @t108 (and (tptp.in @t84 @t215) (tptp.in (tptp.ordered_pair @t1 @t84) @t53) @t99)))))) % 48.87/49.04 (assume @p394 (forall @t6 (=> @t92 (tptp.subset @t496 @t135)))) % 48.87/49.04 (assume @p395 (forall @t134 (=> @t502 (=> @t94 @t500)))) % 48.87/49.04 (assume @p396 (forall @t13 (=> @t125 (forall @t11 (=> @t160 (= @t188 (tptp.open_subsets @t385 @t1))))))) % 48.87/49.04 (assume @p397 (forall @t57 (=> @t54 (= (tptp.in @t1 @t505) (and @t347 (tptp.in @t1 @t237)))))) % 48.87/49.04 (assume @p398 (forall @t6 (=> @t92 (not (and @t167 @t499 (= @t496 tptp.empty_set)))))) % 48.87/49.04 (assume @p399 (forall @t57 (=> @t54 (=> @t94 (tptp.subset (tptp.relation_inverse_image @t53 @t1) @t504))))) % 48.87/49.04 (assume @p400 (forall @t6 (=> @t316 (=> @t33 (tptp.finite @t495))))) % 48.87/49.04 (assume @p401 (forall @t13 (=> @t169 (forall @t11 (=> @t124 (= @t170 @t235)))))) % 48.87/49.04 (assume @p402 (forall @t13 (=> @t125 (forall @t11 (=> @t160 (= @t173 (tptp.closed_subsets @t385 @t1))))))) % 48.87/49.04 (assume @p403 (forall @t6 (=> @t92 (= @t506 (tptp.relation_dom_restriction @t113 @t1))))) % 48.87/49.04 (assume @p404 (forall @t6 (tptp.subset @t75 @t1))) % 48.87/49.04 (assume @p405 (forall @t13 (=> @t33 (forall @t11 (=> @t254 (not (and @t179 (forall @t114 (not (and @t161 (forall @t108 (=> (and @t99 @t175) @t445)))))))))))) % 48.87/49.04 (assume @p406 (forall @t6 (=> @t92 (= @t506 (tptp.relation_rng_restriction @t1 @t507))))) % 48.87/49.04 (assume @p407 (forall @t57 (=> @t54 (=> (tptp.in @t1 (tptp.relation_field @t505)) (and @t509 @t5))))) % 48.87/49.04 (assume @p408 (forall @t57 (=> (and @t94 @t510) (tptp.subset @t1 @t354)))) % 48.87/49.04 (assume @p409 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 48.87/49.04 (assume @p410 (forall @t6 (=> @t5 @t511))) % 48.87/49.04 (assume @p411 (forall @t57 (=> (and @t94 @t418) @t510))) % 48.87/49.04 (assume @p412 (= @t419 (tptp.singleton tptp.empty_set))) % 48.87/49.04 (assume @p413 (forall @t57 (=> @t54 (=> @t513 (and @t512 (tptp.in @t2 @t215)))))) % 48.87/49.04 (assume @p414 (forall @t6 (=> @t92 (and (tptp.subset @t514 @t176) (tptp.subset @t514 @t1))))) % 48.87/49.04 (assume @p415 (forall @t6 (=> @t316 (forall @t114 (=> @t243 (= @t517 (and @t512 (tptp.in @t515 @t135)))))))) % 48.87/49.04 (assume @p416 (forall @t134 (=> @t519 (forall @t106 (=> (and (tptp.relation @t96) (tptp.function @t96)) (=> @t86 (or @t145 (= (tptp.apply (tptp.relation_composition @t84 @t96) @t53) (tptp.apply @t96 @t518))))))))) % 48.87/49.04 (assume @p417 (forall @t13 (=> @t50 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 48.87/49.04 (assume @p418 (forall @t13 (=> @t52 (tptp.subset @t1 (tptp.cartesian_product2 @t105 @t223))))) % 48.87/49.04 (assume @p419 (forall @t57 (=> @t54 (tptp.subset (tptp.fiber (tptp.relation_restriction @t53 @t1) @t2) (tptp.fiber @t53 @t2))))) % 48.87/49.04 (assume @p420 (forall @t6 (=> @t316 (forall @t114 (=> @t243 (=> @t517 (= (tptp.apply @t516 @t1) (tptp.apply @t2 @t515)))))))) % 48.87/49.04 (assume @p421 (forall @t13 (=> @t169 (forall @t11 (=> @t124 (= (tptp.subset_difference @t69 @t202 @t235) @t2)))))) % 48.87/49.04 (assume @p422 (forall @t57 (=> (tptp.relation_of2_as_subset @t53 @t2 @t1) (= (forall @t108 (not (and @t99 (forall @t106 (not @t100))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t53) @t2))))) % 48.87/49.04 (assume @p423 (forall @t6 (=> @t92 (=> @t520 (tptp.reflexive @t506))))) % 48.87/49.04 (assume @p424 (forall @t6 (=> @t316 (forall @t114 (=> @t243 (=> (tptp.in @t1 @t135) (= (tptp.apply (tptp.relation_composition @t2 @t53) @t1) (tptp.apply @t53 (tptp.apply @t2 @t1))))))))) % 48.87/49.04 (assume @p425 (forall @t13 (=> (and @t42 @t39 @t38 @t47) (forall @t11 (=> @t71 (forall @t114 (=> @t70 (tptp.below @t1 @t76 @t2)))))))) % 48.87/49.04 (assume @p426 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 48.87/49.04 (assume @p427 (forall @t57 (=> @t147 (= (forall @t108 (not (and @t99 (forall @t106 (not (tptp.in @t126 @t53)))))) (= @t272 @t2))))) % 48.87/49.04 (assume @p428 (forall @t6 (=> @t92 (=> @t521 (tptp.connected @t506))))) % 48.87/49.04 (assume @p429 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t340 @t255 @t4))))))) % 48.87/49.04 (assume @p430 (forall @t6 (=> @t92 (=> @t522 (tptp.transitive @t506))))) % 48.87/49.04 (assume @p431 (forall @t13 (=> (and @t234 @t227) (forall @t11 (=> @t71 (forall @t114 (=> @t70 (=> (and @t257 (tptp.related @t1 @t53 @t2)) @t151)))))))) % 48.87/49.04 (assume @p432 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (=> @t94 (and (tptp.subset @t105 @t135) (tptp.subset @t223 @t136)))))))) % 48.87/49.04 (assume @p433 (forall @t6 (=> @t92 (=> @t523 (tptp.antisymmetric @t506))))) % 48.87/49.04 (assume @p434 (forall @t6 (=> @t92 (=> @t526 (and @t525 @t524))))) % 48.87/49.04 (assume @p435 (forall @t13 (=> @t111 (=> (tptp.finite @t105) (tptp.finite @t223))))) % 48.87/49.04 (assume @p436 (forall @t13 (=> (and @t42 @t40 @t72) (forall @t11 (=> @t71 (forall @t114 (=> @t70 (=> (and @t198 (tptp.below @t1 @t53 @t2)) @t151)))))))) % 48.87/49.04 (assume @p437 (forall @t13 (=> (and @t226 @t227) (forall @t11 (=> @t71 (forall @t114 (=> @t70 (forall @t108 (=> (tptp.element @t84 @t69) (=> (and @t257 (tptp.related @t1 @t53 @t84)) (tptp.related @t1 @t2 @t84))))))))))) % 48.87/49.04 (assume @p438 (forall @t13 (exists @t11 (and @t92 @t526)))) % 48.87/49.04 (assume @p439 (forall @t57 (=> @t94 (tptp.subset (tptp.set_intersection2 @t1 @t53) @t354)))) % 48.87/49.04 (assume @p440 (forall @t13 (=> @t186 (not (and (forall @t11 (not (and @t3 @t145))) (forall @t11 (=> @t316 (not (and @t478 (forall @t114 (=> @t86 (tptp.in @t477 @t53)))))))))))) % 48.87/49.04 (assume @p441 (forall @t6 (=> @t94 (= @t75 @t1)))) % 48.87/49.04 (assume @p442 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (= @t236 @t313)))))) % 48.87/49.04 (assume @p443 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 48.87/49.04 (assume @p444 (forall @t6 (=> @t511 (or @t185 @t5)))) % 48.87/49.04 (assume @p445 (forall @t6 (=> (forall @t114 (= @t86 @t161)) @t95))) % 48.87/49.04 (assume @p446 (forall @t13 (tptp.reflexive @t177))) % 48.87/49.04 (assume @p447 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 48.87/49.04 (assume @p448 (forall @t57 (=> @t54 (=> @t513 (and @t509 (tptp.in @t2 @t508)))))) % 48.87/49.04 (assume @p449 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (= @t229 @t315)))))) % 48.87/49.04 (assume @p450 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t93))) @t32))) % 48.87/49.04 (assume @p451 (forall @t6 (=> @t92 (=> @t527 (tptp.well_founded_relation @t506))))) % 48.87/49.04 (assume @p452 @t535) % 48.87/49.04 (assume @p453 (forall @t6 (=> @t29 (not (and @t94 @t167 (forall @t114 (=> @t395 (not (and @t86 (forall @t108 (=> @t402 (=> @t166 (tptp.ordinal_subset @t53 @t84))))))))))))) % 48.87/49.04 (assume @p454 (forall @t6 (=> @t92 (=> @t341 @t524)))) % 48.87/49.04 (assume @p455 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t155 @t2))))))) % 48.87/49.04 (assume @p456 (forall @t57 (=> @t94 (tptp.subset (tptp.set_difference @t1 @t53) @t355)))) % 48.87/49.04 (assume @p457 (forall @t134 (=> (= @t231 @t87) (and @t486 @t182)))) % 48.87/49.04 (assume @p458 (forall @t6 (=> @t316 (= @t91 (and @t478 (forall @t114 (=> @t86 (= @t477 @t53)))))))) % 48.87/49.04 (assume @p459 (forall @t6 (=> @t3 (= (tptp.apply @t90 @t2) @t2)))) % 48.87/49.04 (assume @p460 (forall @t6 (tptp.subset @t221 @t1))) % 48.87/49.04 (assume @p461 (forall @t13 (=> @t52 (and (= @t223 (tptp.relation_dom @t239)) (= @t105 (tptp.relation_rng @t239)))))) % 48.87/49.04 (assume @p462 (forall @t57 (= (tptp.subset @t65 @t53) (and @t347 @t201)))) % 48.87/49.04 (assume @p463 (forall @t6 (=> @t92 (=> (and @t341 (tptp.subset @t1 @t176)) @t525)))) % 48.87/49.04 (assume @p464 (forall @t6 (= @t536 @t67))) % 48.87/49.04 (assume @p465 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 48.87/49.04 (assume @p466 (forall @t57 (not (and @t5 @t201 @t86)))) % 48.87/49.04 (assume @p467 (forall @t6 (= @t348 @t94))) % 48.87/49.04 (assume @p468 (forall @t13 (tptp.transitive @t177))) % 48.87/49.04 (assume @p469 (forall @t6 (and (not (and @t538 (forall @t114 (not @t537)))) (not (and (exists @t114 @t537) @t244))))) % 48.87/49.04 (assume @p470 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t144))) % 48.87/49.04 (assume @p471 (forall @t6 (= (tptp.set_difference @t67 @t2) @t221))) % 48.87/49.04 (assume @p472 (forall @t13 (=> @t32 (= @t228 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t472 @t1)))))))) % 48.87/49.04 (assume @p473 (forall @t13 (=> @t32 (and (not (and (not @t228) (forall @t11 (=> @t29 (not @t539))))) (not (and (exists @t11 (and @t29 @t539)) @t228)))))) % 48.87/49.04 (assume @p474 (forall @t6 (=> @t25 (forall @t114 (=> @t80 (= @t541 (tptp.subset @t2 @t540))))))) % 48.87/49.04 (assume @p475 (forall @t13 (=> @t317 (forall @t11 (=> @t160 (=> @t187 (tptp.closed_subset @t493 @t1))))))) % 48.87/49.04 (assume @p476 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (tptp.subset @t542 @t105)))))) % 48.87/49.04 (assume @p477 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (tptp.subset @t171 @t2)))))) % 48.87/49.04 (assume @p478 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (forall @t114 (=> (tptp.in @t53 @t69) (= (tptp.in @t53 @t122) (forall @t108 (=> @t483 (=> @t543 @t165))))))))))) % 48.87/49.04 (assume @p479 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (tptp.subset @t503 @t136)))))) % 48.87/49.04 (assume @p480 (forall @t6 (=> @t94 (= @t2 @t536)))) % 48.87/49.04 (assume @p481 (forall @t134 (=> @t519 (=> @t179 (forall @t106 (= (tptp.in @t96 (tptp.relation_inverse_image @t84 @t53)) (and @t112 (tptp.in (tptp.apply @t84 @t96) @t53)))))))) % 48.87/49.04 (assume @p482 (forall @t13 (=> @t317 (forall @t11 (=> @t124 (exists @t114 (and @t195 (forall @t108 (=> @t483 (= @t107 @t543))) (= @t122 (tptp.meet_of_subsets @t69 @t53))))))))) % 48.87/49.04 (assume @p483 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (=> (tptp.subset @t223 @t135) (= @t542 @t105))))))) % 48.87/49.04 (assume @p484 (forall @t6 (=> @t254 @t485))) % 48.87/49.04 (assume @p485 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (=> (tptp.subset @t105 @t136) (= (tptp.relation_rng @t285) @t223))))))) % 48.87/49.04 (assume @p486 (forall @t6 (=> @t254 (=> @t179 (= (tptp.subset_difference @t1 @t211 @t273) @t488))))) % 48.87/49.04 (assume @p487 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (tptp.subset @t2 @t122)))))) % 48.87/49.04 (assume @p488 (forall @t6 (=> @t254 (=> @t179 (= @t489 (tptp.subset_difference @t1 @t211 @t275)))))) % 48.87/49.04 (assume @p489 (forall @t6 (= (tptp.set_difference @t1 @t221) @t75))) % 48.87/49.04 (assume @p490 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (forall @t114 (=> @t243 (=> @t242 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t53)))))))))) % 48.87/49.04 (assume @p491 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 48.87/49.04 (assume @p492 (forall @t57 (=> (and @t5 @t544) (tptp.element @t1 @t53)))) % 48.87/49.04 (assume @p493 (forall @t13 (=> @t32 (tptp.connected @t177)))) % 48.87/49.04 (assume @p494 (forall @t6 (and (not (and @t538 (forall @t114 (not @t545)))) (not (and (exists @t114 @t545) @t244))))) % 48.87/49.04 (assume @p495 (forall @t13 (=> @t167 (forall @t11 (=> @t25 (forall @t114 (=> @t260 (=> @t199 (tptp.in @t53 @t230))))))))) % 48.87/49.04 (assume @p496 (forall @t13 (=> @t317 (forall @t11 (=> @t124 @t321))))) % 48.87/49.04 (assume @p497 (forall @t13 (=> @t125 (forall @t11 (=> @t124 (and (=> @t236 @t546) (=> (and @t131 @t546) @t236))))))) % 48.87/49.04 (assume @p498 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (forall @t114 (=> @t243 (=> @t242 (and (=> @t213 @t520) (=> @t128 @t522) (=> @t127 @t521) (=> @t116 @t523) (=> @t189 @t527)))))))))) % 48.87/49.04 (assume @p499 (forall @t13 (=> @t111 (=> @t61 (forall @t11 (=> @t316 (= (= @t2 @t256) (and (= @t135 @t223) (forall @t89 (and (=> @t547 @t222) (=> @t222 @t547))))))))))) % 48.87/49.04 (assume @p500 (forall @t57 (=> @t80 (not (and (tptp.in @t2 @t540) @t201))))) % 48.87/49.04 (assume @p501 (forall @t13 (=> @t52 (forall @t11 (=> @t92 (forall @t114 (=> @t243 (=> (and @t214 @t242) @t341)))))))) % 48.87/49.04 (assume @p502 (forall @t13 (=> @t111 (=> @t61 (and (= @t223 (tptp.relation_dom @t256)) (= @t105 (tptp.relation_rng @t256))))))) % 48.87/49.04 (assume @p503 (forall @t13 (=> @t317 (forall @t11 (=> (tptp.top_str @t2) (forall @t114 (=> @t123 (forall @t108 (=> (tptp.element @t84 (tptp.powerset @t323)) (and (=> (tptp.open_subset @t84 @t2) (= (tptp.interior @t2 @t84) @t84)) (=> (= @t129 @t53) @t172))))))))))) % 48.87/49.04 (assume @p504 (forall @t13 (=> @t52 (=> (forall @t103 @t344) @t144)))) % 48.87/49.04 (assume @p505 (forall @t6 (=> @t316 (=> (and @t351 (tptp.in @t1 @t136)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t548 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t548 @t2) @t1))))))) % 48.87/49.04 (assume @p506 (forall @t13 (=> @t132 (forall @t11 (=> @t124 (forall @t114 (=> @t70 (=> (and @t229 @t161) (tptp.point_neighbourhood @t2 @t1 @t53))))))))) % 48.87/49.04 (assume @p507 (forall @t57 (not (and @t5 @t544 (tptp.empty @t53))))) % 48.87/49.04 (assume @p508 (forall @t13 (=> @t296 (forall @t11 (=> @t160 (not (and @t196 @t145))))))) % 48.87/49.04 (assume @p509 (forall @t13 (=> @t52 (= @t189 (tptp.is_well_founded_in @t1 @t115))))) % 48.87/49.04 (assume @p510 (forall @t13 (tptp.antisymmetric @t177))) % 48.87/49.04 (assume @p511 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 48.87/49.04 (assume @p512 (forall @t6 (not (and @t94 @t7)))) % 48.87/49.04 (assume @p513 (forall @t13 (=> @t111 (=> @t61 (tptp.one_to_one @t256))))) % 48.87/49.04 (assume @p514 (forall @t57 (=> (and @t94 @t541) (tptp.disjoint @t1 @t53)))) % 48.87/49.04 (assume @p515 (forall @t13 (=> @t52 (=> (or @t550 @t549) @t144)))) % 48.87/49.04 (assume @p516 (forall @t13 (=> @t52 (= @t550 @t549)))) % 48.87/49.04 (assume @p517 (forall @t6 (= (= (tptp.set_difference @t1 @t345) @t1) @t4))) % 48.87/49.04 (assume @p518 (forall @t6 (=> @t316 (forall @t114 (=> @t243 (= (= @t2 @t349) (and (= @t135 (tptp.set_intersection2 @t216 @t1)) (forall @t108 (=> (tptp.in @t84 @t135) (= (tptp.apply @t2 @t84) @t241)))))))))) % 48.87/49.04 (assume @p519 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t154))) % 48.87/49.04 (assume @p520 (forall @t13 (=> @t22 @t144))) % 48.87/49.04 (assume @p521 (forall @t134 (=> @t519 (=> @t86 (or @t145 (tptp.in @t518 @t501)))))) % 48.87/49.04 (assume @p522 (forall @t13 (=> @t32 (tptp.well_founded_relation @t177)))) % 48.87/49.04 (assume @p523 (forall @t6 (=> (tptp.subset @t154 @t345) @t95))) % 48.87/49.04 (assume @p524 (forall @t57 (=> @t243 (=> @t350 @t551)))) % 48.87/49.04 (assume @p525 (forall @t13 (and (= (tptp.relation_dom @t90) @t1) (= (tptp.relation_rng @t90) @t1)))) % 48.87/49.04 (assume @p526 (forall @t57 (=> @t243 (=> @t3 @t551)))) % 48.87/49.04 (assume @p527 (forall @t134 (=> @t422 (= (tptp.in @t231 (tptp.relation_composition (tptp.identity_relation @t53) @t84)) (and @t347 (tptp.in @t231 @t84)))))) % 48.87/49.04 (assume @p528 (forall @t6 (not (and @t5 @t185)))) % 48.87/49.04 (assume @p529 @t555) % 48.87/49.04 (assume @p530 (forall @t6 (not (and @t5 (forall @t114 (not (and @t161 (forall @t108 (not (and @t99 @t107)))))))))) % 48.87/49.04 (assume @p531 (forall @t13 (=> @t32 (tptp.well_ordering @t177)))) % 48.87/49.04 (assume @p532 (forall @t6 (tptp.subset @t1 @t67))) % 48.87/49.04 (assume @p533 (forall @t6 (= @t244 (= @t221 @t1)))) % 48.87/49.04 (assume @p534 (forall @t57 (=> @t54 (= (tptp.in @t1 (tptp.relation_dom @t494)) (and @t5 @t512))))) % 48.87/49.04 (assume @p535 (forall @t6 (=> @t92 (tptp.subset @t507 @t2)))) % 48.87/49.04 (assume @p536 (forall @t6 (not (and @t22 @t255 @t185)))) % 48.87/49.04 (assume @p537 (forall @t57 (=> @t243 (= @t513 (and @t512 (= @t2 @t515)))))) % 48.87/49.04 (assume @p538 (forall @t13 (=> @t52 (= (tptp.well_orders @t1 @t115) @t214)))) % 48.87/49.04 (assume @p539 (forall @t57 (=> (and @t94 @t194) (tptp.subset (tptp.set_union2 @t1 @t53) @t2)))) % 48.87/49.04 (assume @p540 (forall @t57 (=> @t556 @t95))) % 48.87/49.04 (assume @p541 (forall @t6 (=> @t92 (= (tptp.relation_dom @t507) @t498)))) % 48.87/49.04 (assume @p542 (forall @t6 (=> @t92 (= @t507 (tptp.relation_composition @t90 @t2))))) % 48.87/49.04 (assume @p543 (forall @t6 (=> @t92 (tptp.subset (tptp.relation_rng @t507) @t136)))) % 48.87/49.04 (assume @p544 (forall @t13 (= (tptp.union @t24) @t1))) % 48.87/49.04 (assume @p545 (forall @t134 (=> @t519 (=> @t418 (or (and @t145 @t167) (and @t265 (tptp.quasi_total @t84 @t1 @t53) (tptp.relation_of2_as_subset @t84 @t1 @t53))))))) % 48.87/49.04 (assume @p546 (forall @t13 (exists @t11 (and @t5 @t492 (forall @t114 (not (and @t161 (forall @t108 (not (and @t99 (forall @t106 (=> (tptp.subset @t96 @t53) @t133)))))))) @t490)))) % 48.87/49.04 (assume @p547 (forall @t57 (=> @t556 @t151))) % 48.87/49.04 (step @p548 :rule aci_norm :args ((= (or (or @t22 @t185 @t559 @t558) @t557) @t560))) % 48.87/49.04 (step @p549 :rule refl :args (@t557)) % 48.87/49.04 (step @p550 :rule refl :args (@t558)) % 48.87/49.04 (step @p551 :rule refl :args (@t559)) % 48.87/49.04 (step @p552 :rule bool-double-not-elim :args (@t185)) % 48.87/49.04 (step @p553 :rule bool-double-not-elim :args (@t22)) % 48.87/49.04 (step @p554 :rule nary_cong :premises (@p553 @p552 @p551 @p550) :args (@t563)) % 48.87/49.04 (step @p555 :rule aci_norm :args ((= (or @t562 (or @t561 (or @t559 @t558))) @t563))) % 48.87/49.04 (step @p556 :rule trans :premises (@p555 @p554)) % 48.87/49.04 (step @p557 :rule bool-and-de-morgan :args (@t260 @t259 true)) % 48.87/49.04 (step @p558 :rule refl :args (@t561)) % 48.87/49.04 (step @p559 :rule nary_cong :premises (@p558 @p557) :args ((or @t561 (not (and @t260 @t259))))) % 48.87/49.04 (step @p560 :rule bool-and-de-morgan :args (@t261 @t260 (and @t259))) % 48.87/49.04 (step @p561 :rule trans :premises (@p560 @p559)) % 48.87/49.04 (step @p562 :rule refl :args (@t562)) % 48.87/49.04 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or @t562 (not (and @t261 @t260 @t259))))) % 48.87/49.04 (step @p564 :rule bool-and-de-morgan :args (@t186 @t261 (and @t260 @t259))) % 48.87/49.04 (step @p565 :rule trans :premises (@p564 @p563)) % 48.87/49.04 (step @p566 :rule trans :premises (@p565 @p556)) % 48.87/49.04 (step @p567 :rule nary_cong :premises (@p566 @p549) :args ((or (not @t262) @t557))) % 48.87/49.04 (step @p568 :rule trans :premises (@p567 @p548)) % 48.87/49.04 (step @p569 :rule bool-impl-elim :args (@t262 @t557)) % 48.87/49.04 (step @p570 :rule trans :premises (@p569 @p568)) % 48.87/49.04 (step @p571 :rule cong :premises (@p570) :args ((forall @t134 (=> @t262 @t557)))) % 48.87/49.04 (step @p572 :rule eq-symm :args (@t258 @t87)) % 48.87/49.04 (step @p573 :rule refl :args (@t262)) % 48.87/49.04 (step @p574 :rule cong :premises (@p573 @p572) :args (@t352)) % 48.87/49.04 (step @p575 :rule cong :premises (@p574) :args (@t353)) % 48.87/49.04 (step @p576 :rule trans :premises (@p575 @p571)) % 48.87/49.04 (step @p577 :rule eq_resolve :premises (@p301 @p576)) % 48.87/49.04 (step @p578 :rule eq-symm :args (@t576 @t579)) % 48.87/49.04 (step @p579 :rule refl :args (@t581)) % 48.87/49.04 (step @p580 :rule refl :args (@t583)) % 48.87/49.04 (step @p581 :rule refl :args (@t584)) % 48.87/49.04 (step @p582 :rule nary_cong :premises (@p581 @p581 @p580 @p579 @p578) :args (@t585)) % 48.87/49.04 (step @p583 :rule refl :args (@t586)) % 48.87/49.04 (step @p584 :rule cong :premises (@p583 @p582) :args ((=> @t586 @t585))) % 48.87/49.04 (assume-push @p1101 @t586) % 48.87/49.04 (step @p586 :rule instantiate :premises (@p577) :args ((@list @t578 @t578 @t575 @t574))) % 48.87/49.04 (step-pop @p1102 :rule scope :premises (@p586)) % 48.87/49.04 (step @p587 :rule process_scope :premises (@p1102) :args (@t585)) % 48.87/49.04 (step @p589 :rule eq_resolve :premises (@p587 @p584)) % 48.87/49.04 (step @p590 :rule implies_elim :premises (@p589)) % 48.87/49.04 (step @p591 :rule chain_m_resolution :premises (@p590 @p577) :args (@t588 @t589 @t590)) % 48.87/49.04 (step @p592 :rule aci_norm :args ((= (or (or @t41 @t591) @t295) (or @t41 @t591 @t295)))) % 48.87/49.04 (step @p593 :rule refl :args (@t295)) % 48.87/49.04 (step @p594 :rule refl :args (@t591)) % 48.87/49.04 (step @p595 :rule bool-double-not-elim :args (@t41)) % 48.87/49.04 (step @p596 :rule nary_cong :premises (@p595 @p594) :args ((or @t592 @t591))) % 48.87/49.04 (step @p597 :rule bool-and-de-morgan :args (@t42 @t169 true)) % 48.87/49.04 (step @p598 :rule trans :premises (@p597 @p596)) % 48.87/49.04 (step @p599 :rule nary_cong :premises (@p598 @p593) :args ((or (not @t296) @t295))) % 48.87/49.04 (step @p600 :rule trans :premises (@p599 @p592)) % 48.87/49.04 (step @p601 :rule bool-impl-elim :args (@t296 @t295)) % 48.87/49.04 (step @p602 :rule trans :premises (@p601 @p600)) % 48.87/49.04 (step @p603 :rule cong :premises (@p602) :args (@t297)) % 48.87/49.04 (step @p604 :rule eq_resolve :premises (@p196 @p603)) % 48.87/49.04 (step @p605 :rule instantiate :premises (@p604) :args (@t593)) % 48.87/49.04 (step @p606 :rule bool-impl-elim :args (@t77 @t169)) % 48.87/49.04 (step @p607 :rule cong :premises (@p606) :args (@t279)) % 48.87/49.04 (step @p608 :rule eq_resolve :premises (@p160 @p607)) % 48.87/49.04 (step @p609 :rule instantiate :premises (@p608) :args (@t593)) % 48.87/49.04 (step @p610 :rule bool-impl-elim :args (@t47 @t280)) % 48.87/49.04 (step @p611 :rule cong :premises (@p610) :args (@t281)) % 48.87/49.04 (step @p612 :rule eq_resolve :premises (@p164 @p611)) % 48.87/49.04 (step @p613 :rule instantiate :premises (@p612) :args (@t593)) % 48.87/49.04 (step @p614 :rule aci_norm :args ((= @t595 @t571))) % 48.87/49.04 (step @p615 :rule cong :premises (@p614) :args (@t596)) % 48.87/49.04 (step @p616 :rule 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@p988) :args (@t725 @t666 (@list @t584 @t712 @t710 @t726))) % 48.87/49.04 (step @p1005 :rule eq-symm :args (@t727 @t705)) % 48.87/49.04 (step @p1006 :rule nary_cong :premises (@p757 @p756 @p755 @p754 @p753 @p979 @p978 @p1005) :args (@t728)) % 48.87/49.04 (step @p1007 :rule cong :premises (@p759 @p1006) :args ((=> @t659 @t728))) % 48.87/49.04 (assume-push @p1127 @t659) % 48.87/49.04 (step @p1009 :rule instantiate :premises (@p751) :args ((@list @t577 @t704 @t703))) % 48.87/49.04 (step-pop @p1128 :rule scope :premises (@p1009)) % 48.87/49.04 (step @p1010 :rule process_scope :premises (@p1128) :args (@t728)) % 48.87/49.04 (step @p1012 :rule eq_resolve :premises (@p1010 @p1007)) % 48.87/49.04 (step @p1013 :rule implies_elim :premises (@p1012)) % 48.87/49.04 (step @p1014 :rule chain_m_resolution :premises (@p1013 @p751) :args (@t730 @t589 @t662)) % 48.87/49.04 (step @p1015 :rule cnf_or_pos :args (@t730)) % 48.87/49.04 (step @p1016 :rule reordering :premises (@p1015) :args ((or @t630 @t627 @t657 @t655 @t653 @t713 @t711 @t729 (not @t730)))) % 48.87/49.04 (step @p1017 :rule chain_m_resolution :premises (@p1016 @p695 @p684 @p802 @p799 @p796 @p1000 @p994 @p1014) :args (@t729 @t669 (@list @t630 @t622 @t656 @t654 @t652 @t712 @t710 @t730))) % 48.87/49.04 (step @p1018 :rule bool-double-not-elim :args (@t705)) % 48.87/49.04 (step @p1019 :rule nary_cong :premises (@p956 @p1018) :args ((or @t714 (not @t706)))) % 48.87/49.04 (step @p1020 :rule cnf_or_neg :args (@t714 3)) % 48.87/49.04 (step @p1021 :rule eq_resolve :premises (@p1020 @p1019)) % 48.87/49.04 (step @p1022 :rule reordering :premises (@p1021) :args ((or @t705 @t714))) % 48.87/49.04 (step @p1023 :rule chain_m_resolution :premises (@p1022 @p954) :args (@t705 @t632 @t716)) % 48.87/49.04 (step @p1024 :rule cnf_equiv_pos1 :args (@t729)) % 48.87/49.05 (step @p1025 :rule reordering :premises (@p1024) :args ((or @t706 @t727 (not @t729)))) % 48.87/49.05 (step @p1026 :rule chain_m_resolution :premises (@p1025 @p1023 @p1017) :args (@t727 @t637 (@list @t705 @t729))) % 48.87/49.05 (step @p1027 :rule instantiate :premises (@p973) :args (@t731)) % 48.87/49.05 (step @p1028 :rule instantiate :premises (@p975) :args (@t731)) % 48.87/49.05 (step @p1029 :rule refl :args (@t734)) % 48.87/49.05 (step @p1030 :rule refl :args (@t737)) % 48.87/49.05 (step @p1031 :rule refl :args (@t739)) % 48.87/49.05 (step @p1032 :rule refl :args (@t741)) % 48.87/49.05 (step @p1033 :rule refl :args (@t742)) % 48.87/49.05 (step @p1034 :rule refl :args (@t743)) % 48.87/49.05 (step @p1035 :rule refl :args (@t709)) % 48.87/49.05 (step @p1036 :rule bool-double-not-elim :args (@t651)) % 48.87/49.05 (step @p1037 :rule refl :args (@t744)) % 48.87/49.05 (step @p1038 :rule nary_cong :premises (@p1037 @p1036 @p1035 @p1034 @p1033 @p1032 @p1031 @p1030 @p1029) :args ((or @t744 (not @t701) @t709 @t743 @t742 @t741 @t739 @t737 @t734))) % 48.87/49.05 (assume-push @p1129 @t701) % 48.87/49.05 (assume-push @p1130 @t740) % 48.87/49.05 (assume-push @p1131 @t587) % 48.87/49.05 (assume-push @p1132 @t708) % 48.87/49.05 (assume-push @p1133 @t725) % 48.87/49.05 (assume-push @p1134 @t736) % 48.87/49.05 (assume-push @p1135 @t738) % 48.87/49.05 (assume-push @p1136 @t733) % 48.87/49.05 (assume-push @p1137 @t727) % 48.87/49.05 (step @p1048 :rule evaluate :args ((= true false))) % 48.87/49.05 (step @p1049 :rule false_intro :premises (@p1129)) % 48.87/49.05 (step @p1050 :rule symm :premises (@p976)) % 48.87/49.05 (step @p1051 :rule symm :premises (@p1132)) % 48.87/49.05 (step @p1052 :rule symm :premises (@p1133)) % 48.87/49.05 (step @p1053 :rule trans :premises (@p1052 @p1051 @p714)) % 48.87/49.05 (step @p1054 :rule cong :premises (@p1053) :args (@t732)) % 48.87/49.05 (step @p1055 :rule trans :premises (@p1028 @p1054 @p1050)) % 48.87/49.05 (step @p1056 :rule symm :premises (@p974)) % 48.87/49.05 (step @p1057 :rule cong :premises (@p1053) :args (@t735)) % 48.87/49.05 (step @p1058 :rule trans :premises (@p1027 @p1057 @p1056)) % 48.87/49.05 (step @p1059 :rule refl :args (@t577)) % 48.87/49.05 (step @p1060 :rule cong :premises (@p1059 @p1058 @p1055) :args (@t727)) % 48.87/49.05 (step @p1061 :rule true_intro :premises (@p1137)) % 48.87/49.05 (step @p1062 :rule symm :premises (@p1061)) % 48.87/49.05 (step @p1063 :rule trans :premises (@p1062 @p1060 @p1049)) % 48.87/49.05 (step @p1064 false :rule eq_resolve :premises (@p1063 @p1048)) % 48.87/49.05 (step-pop @p1138 :rule scope :premises (@p1064)) % 48.87/49.05 (step-pop @p1139 :rule scope :premises (@p1138)) % 48.87/49.05 (step-pop @p1140 :rule scope :premises (@p1139)) % 48.87/49.05 (step-pop @p1141 :rule scope :premises (@p1140)) % 48.87/49.05 (step-pop @p1142 :rule scope :premises (@p1141)) % 48.87/49.05 (step-pop @p1143 :rule scope :premises (@p1142)) % 48.87/49.05 (step-pop @p1144 :rule scope :premises (@p1143)) % 48.87/49.05 (step-pop @p1145 :rule scope :premises (@p1144)) % 48.87/49.05 (step-pop @p1146 :rule scope :premises (@p1145)) % 48.87/49.05 (step @p1065 :rule process_scope :premises (@p1146) :args (false)) % 48.87/49.05 (assume-push @p1147 @t587) % 48.87/49.05 (assume-push @p1148 @t701) % 48.87/49.05 (assume-push @p1149 @t708) % 48.87/49.05 (assume-push @p1150 @t725) % 48.87/49.05 (assume-push @p1151 @t727) % 48.87/49.05 (assume-push @p1152 @t740) % 48.87/49.05 (assume-push @p1153 @t738) % 48.87/49.05 (assume-push @p1154 @t736) % 48.87/49.05 (assume-push @p1155 @t733) % 48.87/49.05 (step @p1084 :rule and_intro :premises (@p1148 @p974 @p714 @p1149 @p1150 @p1027 @p976 @p1028 @p1151)) % 48.87/49.05 (step-pop @p1156 :rule scope :premises (@p1084)) % 48.87/49.05 (step-pop @p1157 :rule scope :premises (@p1156)) % 48.87/49.05 (step-pop @p1158 :rule scope :premises (@p1157)) % 48.87/49.05 (step-pop @p1159 :rule scope :premises (@p1158)) % 48.87/49.05 (step-pop @p1160 :rule scope :premises (@p1159)) % 48.87/49.05 (step-pop @p1161 :rule scope :premises (@p1160)) % 48.87/49.05 (step-pop @p1162 :rule scope :premises (@p1161)) % 48.87/49.05 (step-pop @p1163 :rule scope :premises (@p1162)) % 48.87/49.05 (step-pop @p1164 :rule scope :premises (@p1163)) % 48.87/49.05 (step @p1085 :rule process_scope :premises (@p1164) :args (@t745)) % 48.87/49.05 (step @p1095 :rule implies_elim :premises (@p1085)) % 48.87/49.05 (step @p1096 :rule resolution :premises (@p1095 @p1065) :args (true @t745)) % 48.87/49.05 (step @p1097 :rule not_and :premises (@p1096)) % 48.87/49.05 (step @p1098 :rule eq_resolve :premises (@p1097 @p1038)) % 48.87/49.05 (step @p1099 :rule reordering :premises (@p1098) :args ((or @t651 @t744 @t709 @t743 @t742 @t741 @t739 @t737 @t734))) % 48.87/49.05 (step @p1100 false :rule chain_m_resolution :premises (@p1099 @p1028 @p1027 @p1026 @p1004 @p976 @p974 @p961 @p920 @p714) :args (false (@list false false false false false false false true false) (@list @t733 @t736 @t727 @t725 @t738 @t740 @t708 @t651 @t587))) % 48.87/49.05 ) % 48.87/49.05 % SZS output end Proof % 48.87/49.05 % cvc5 exiting %------------------------------------------------------------------------------