%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU323+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:51:23 AM UTC 2026 % Result : Theorem 4.43s 4.65s % Output : Proof 4.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU323+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n022.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:56:53 EDT 2026 % 0.16/0.35 % CPUTime : % 0.37/0.64 %----Proving TF0_NAR, FOF, or CNF % 4.43/4.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.43/4.65 % SZS status Theorem % 4.43/4.65 % SZS output start Proof % 4.43/4.65 ( % 4.43/4.65 (declare-sort $$unsorted 0) % 4.43/4.65 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.function (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.finite (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.connected (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.empty_set $$unsorted) % 4.43/4.65 (declare-const tptp.empty (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.natural (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.transitive (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.omega $$unsorted) % 4.43/4.65 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 4.43/4.65 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 4.43/4.65 (declare-const tptp.top_str (-> $$unsorted Bool)) % 4.43/4.65 (define @t1 () (@var "A" $$unsorted)) % 4.43/4.65 (define @t2 () (@var "B" $$unsorted)) % 4.43/4.65 (define @t3 () (tptp.in @t2 @t1)) % 4.43/4.65 (define @t4 () (not @t3)) % 4.43/4.65 (define @t5 () (tptp.in @t1 @t2)) % 4.43/4.65 (define @t6 () (@list @t1 @t2)) % 4.43/4.65 (define @t7 () (tptp.proper_subset @t2 @t1)) % 4.43/4.65 (define @t8 () (tptp.proper_subset @t1 @t2)) % 4.43/4.65 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 4.43/4.65 (define @t10 () (tptp.element @t2 @t1)) % 4.43/4.65 (define @t11 () (@list @t2)) % 4.43/4.65 (define @t12 () (tptp.v1_membered @t1)) % 4.43/4.65 (define @t13 () (@list @t1)) % 4.43/4.65 (define @t14 () (tptp.v1_xreal_0 @t2)) % 4.43/4.65 (define @t15 () (tptp.v2_membered @t1)) % 4.43/4.65 (define @t16 () (tptp.v1_rat_1 @t2)) % 4.43/4.65 (define @t17 () (tptp.v3_membered @t1)) % 4.43/4.65 (define @t18 () (tptp.v1_int_1 @t2)) % 4.43/4.65 (define @t19 () (tptp.v4_membered @t1)) % 4.43/4.65 (define @t20 () (tptp.natural @t2)) % 4.43/4.65 (define @t21 () (tptp.v5_membered @t1)) % 4.43/4.65 (define @t22 () (tptp.empty @t1)) % 4.43/4.65 (define @t23 () (tptp.v1_membered @t2)) % 4.43/4.65 (define @t24 () (tptp.powerset @t1)) % 4.43/4.65 (define @t25 () (tptp.element @t2 @t24)) % 4.43/4.65 (define @t26 () (tptp.v2_membered @t2)) % 4.43/4.65 (define @t27 () (tptp.v3_membered @t2)) % 4.43/4.65 (define @t28 () (tptp.v4_membered @t2)) % 4.43/4.65 (define @t29 () (tptp.ordinal @t2)) % 4.43/4.65 (define @t30 () (tptp.epsilon_connected @t2)) % 4.43/4.65 (define @t31 () (tptp.epsilon_transitive @t2)) % 4.43/4.65 (define @t32 () (tptp.ordinal @t1)) % 4.43/4.65 (define @t33 () (tptp.finite @t1)) % 4.43/4.65 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 4.43/4.65 (define @t35 () (tptp.preboolean @t1)) % 4.43/4.65 (define @t36 () (tptp.function @t1)) % 4.43/4.65 (define @t37 () (tptp.epsilon_connected @t1)) % 4.43/4.65 (define @t38 () (tptp.epsilon_transitive @t1)) % 4.43/4.65 (define @t39 () (and @t38 @t37)) % 4.43/4.65 (define @t40 () (tptp.relation @t1)) % 4.43/4.65 (define @t41 () (@var "C" $$unsorted)) % 4.43/4.65 (define @t42 () (tptp.relation @t41)) % 4.43/4.65 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 4.43/4.65 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 4.43/4.65 (define @t45 () (@list @t1 @t2 @t41)) % 4.43/4.65 (define @t46 () (tptp.natural @t1)) % 4.43/4.65 (define @t47 () (and @t38 @t37 @t32 @t46)) % 4.43/4.65 (define @t48 () (tptp.finite @t2)) % 4.43/4.65 (define @t49 () (tptp.one_to_one @t1)) % 4.43/4.65 (define @t50 () (and @t40 @t36 @t49)) % 4.43/4.65 (define @t51 () (and @t40 @t22 @t36)) % 4.43/4.65 (define @t52 () (and @t38 @t37 @t32)) % 4.43/4.65 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 4.43/4.65 (define @t54 () (tptp.set_union2 @t2 @t1)) % 4.43/4.65 (define @t55 () (tptp.set_union2 @t1 @t2)) % 4.43/4.65 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 4.43/4.65 (define @t57 () (tptp.the_carrier @t1)) % 4.43/4.65 (define @t58 () (tptp.element @t41 @t57)) % 4.43/4.65 (define @t59 () (tptp.element @t2 @t57)) % 4.43/4.65 (define @t60 () (tptp.join_semilatt_str @t1)) % 4.43/4.65 (define @t61 () (tptp.join_commutative @t1)) % 4.43/4.65 (define @t62 () (tptp.empty_carrier @t1)) % 4.43/4.65 (define @t63 () (not @t62)) % 4.43/4.65 (define @t64 () (and @t63 @t61 @t60 @t59 @t58)) % 4.43/4.65 (define @t65 () (tptp.set_intersection2 @t2 @t1)) % 4.43/4.65 (define @t66 () (tptp.set_intersection2 @t1 @t2)) % 4.43/4.65 (define @t67 () (tptp.meet_commut @t1 @t2 @t41)) % 4.43/4.65 (define @t68 () (tptp.meet_semilatt_str @t1)) % 4.43/4.65 (define @t69 () (tptp.meet_commutative @t1)) % 4.43/4.65 (define @t70 () (and @t63 @t69 @t68 @t59 @t58)) % 4.43/4.65 (define @t71 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 4.43/4.65 (define @t72 () (tptp.element @t41 @t24)) % 4.43/4.65 (define @t73 () (and @t25 @t72)) % 4.43/4.65 (define @t74 () (tptp.ordinal_subset @t1 @t2)) % 4.43/4.65 (define @t75 () (and @t32 @t29)) % 4.43/4.65 (define @t76 () (@var "D" $$unsorted)) % 4.43/4.65 (define @t77 () (= @t41 @t76)) % 4.43/4.65 (define @t78 () (tptp.in @t41 @t1)) % 4.43/4.65 (define @t79 () (tptp.ordered_pair @t41 @t76)) % 4.43/4.65 (define @t80 () (tptp.in @t79 @t2)) % 4.43/4.65 (define @t81 () (@list @t41 @t76)) % 4.43/4.65 (define @t82 () (tptp.identity_relation @t1)) % 4.43/4.65 (define @t83 () (= @t2 @t82)) % 4.43/4.65 (define @t84 () (tptp.relation @t2)) % 4.43/4.65 (define @t85 () (tptp.subset @t2 @t1)) % 4.43/4.65 (define @t86 () (tptp.subset @t1 @t2)) % 4.43/4.65 (define @t87 () (= @t1 @t2)) % 4.43/4.65 (define @t88 () (@var "E" $$unsorted)) % 4.43/4.65 (define @t89 () (tptp.ordered_pair @t76 @t88)) % 4.43/4.65 (define @t90 () (tptp.in @t89 @t1)) % 4.43/4.65 (define @t91 () (tptp.in @t76 @t2)) % 4.43/4.65 (define @t92 () (tptp.in @t89 @t41)) % 4.43/4.65 (define @t93 () (@list @t76 @t88)) % 4.43/4.65 (define @t94 () (tptp.relation_dom_restriction @t1 @t2)) % 4.43/4.65 (define @t95 () (@list @t2 @t41)) % 4.43/4.65 (define @t96 () (tptp.in @t88 @t2)) % 4.43/4.65 (define @t97 () (tptp.relation_dom @t1)) % 4.43/4.65 (define @t98 () (@list @t88)) % 4.43/4.65 (define @t99 () (tptp.in @t76 @t41)) % 4.43/4.65 (define @t100 () (@list @t76)) % 4.43/4.65 (define @t101 () (tptp.relation_image @t1 @t2)) % 4.43/4.65 (define @t102 () (= @t41 @t101)) % 4.43/4.65 (define @t103 () (and @t40 @t36)) % 4.43/4.65 (define @t104 () (tptp.in @t88 @t1)) % 4.43/4.65 (define @t105 () (tptp.relation_rng_restriction @t1 @t2)) % 4.43/4.65 (define @t106 () (@list @t41)) % 4.43/4.65 (define @t107 () (tptp.relation_field @t1)) % 4.43/4.65 (define @t108 () (tptp.antisymmetric @t1)) % 4.43/4.65 (define @t109 () (tptp.apply @t1 @t76)) % 4.43/4.65 (define @t110 () (tptp.in @t76 @t97)) % 4.43/4.65 (define @t111 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 4.43/4.65 (define @t112 () (tptp.powerset @t57)) % 4.43/4.65 (define @t113 () (tptp.element @t88 @t112)) % 4.43/4.65 (define @t114 () (tptp.topstr_closure @t1 @t2)) % 4.43/4.65 (define @t115 () (tptp.element @t41 @t112)) % 4.43/4.65 (define @t116 () (tptp.element @t2 @t112)) % 4.43/4.65 (define @t117 () (tptp.top_str @t1)) % 4.43/4.65 (define @t118 () (tptp.ordered_pair @t88 @t76)) % 4.43/4.65 (define @t119 () (tptp.connected @t1)) % 4.43/4.65 (define @t120 () (tptp.transitive @t1)) % 4.43/4.65 (define @t121 () (tptp.in @t88 @t76)) % 4.43/4.65 (define @t122 () (@list @t1 @t2 @t41 @t76)) % 4.43/4.65 (define @t123 () (tptp.relation_dom @t2)) % 4.43/4.65 (define @t124 () (tptp.relation_rng @t2)) % 4.43/4.65 (define @t125 () (tptp.function @t2)) % 4.43/4.65 (define @t126 () (tptp.in (tptp.ordered_pair @t2 @t76) @t1)) % 4.43/4.65 (define @t127 () (tptp.ordered_pair @t2 @t41)) % 4.43/4.65 (define @t128 () (tptp.in @t127 @t1)) % 4.43/4.65 (define @t129 () (@list @t2 @t41 @t76)) % 4.43/4.65 (define @t130 () (= @t41 tptp.empty_set)) % 4.43/4.65 (define @t131 () (tptp.quasi_total @t41 @t1 @t2)) % 4.43/4.65 (define @t132 () (= @t1 tptp.empty_set)) % 4.43/4.65 (define @t133 () (= @t2 tptp.empty_set)) % 4.43/4.65 (define @t134 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 4.43/4.65 (define @t135 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 4.43/4.65 (define @t136 () (tptp.the_L_join @t1)) % 4.43/4.65 (define @t137 () (tptp.join @t1 @t2 @t41)) % 4.43/4.65 (define @t138 () (and @t63 @t60)) % 4.43/4.65 (define @t139 () (= @t2 @t41)) % 4.43/4.65 (define @t140 () (= @t1 @t79)) % 4.43/4.65 (define @t141 () (exists @t95 (= @t1 @t127))) % 4.43/4.65 (define @t142 () (tptp.singleton @t1)) % 4.43/4.65 (define @t143 () (tptp.succ @t1)) % 4.43/4.65 (define @t144 () (tptp.the_topology @t1)) % 4.43/4.65 (define @t145 () (tptp.in @t2 @t144)) % 4.43/4.65 (define @t146 () (tptp.powerset @t112)) % 4.43/4.65 (define @t147 () (tptp.element @t2 @t146)) % 4.43/4.65 (define @t148 () (tptp.topological_space @t1)) % 4.43/4.65 (define @t149 () (tptp.in @t41 @t2)) % 4.43/4.65 (define @t150 () (tptp.is_reflexive_in @t1 @t2)) % 4.43/4.65 (define @t151 () (tptp.relation_of2 @t41 @t1 @t2)) % 4.43/4.65 (define @t152 () (= @t2 (tptp.set_meet @t1))) % 4.43/4.65 (define @t153 () (tptp.in @t41 @t76)) % 4.43/4.65 (define @t154 () (tptp.in @t76 @t1)) % 4.43/4.65 (define @t155 () (not @t132)) % 4.43/4.65 (define @t156 () (tptp.empty @t57)) % 4.43/4.65 (define @t157 () (tptp.one_sorted_str @t1)) % 4.43/4.65 (define @t158 () (tptp.subset_complement @t57 @t2)) % 4.43/4.65 (define @t159 () (tptp.interior @t1 @t2)) % 4.43/4.65 (define @t160 () (= @t159 (tptp.subset_complement @t57 (tptp.topstr_closure @t1 @t158)))) % 4.43/4.65 (define @t161 () (forall @t11 (=> @t116 @t160))) % 4.43/4.65 (define @t162 () (=> @t117 @t161)) % 4.43/4.65 (define @t163 () (forall @t13 @t162)) % 4.43/4.65 (define @t164 () (= @t76 @t2)) % 4.43/4.65 (define @t165 () (tptp.subset @t41 @t76)) % 4.43/4.65 (define @t166 () (tptp.relation_field @t2)) % 4.43/4.65 (define @t167 () (tptp.inclusion_relation @t1)) % 4.43/4.65 (define @t168 () (tptp.the_L_meet @t1)) % 4.43/4.65 (define @t169 () (tptp.meet @t1 @t2 @t41)) % 4.43/4.65 (define @t170 () (= @t2 @t76)) % 4.43/4.65 (define @t171 () (tptp.empty_carrier_subset @t1)) % 4.43/4.65 (define @t172 () (tptp.in @t79 @t1)) % 4.43/4.65 (define @t173 () (tptp.empty @t2)) % 4.43/4.65 (define @t174 () (not @t22)) % 4.43/4.65 (define @t175 () (not @t133)) % 4.43/4.65 (define @t176 () (tptp.well_founded_relation @t1)) % 4.43/4.65 (define @t177 () (@var "F" $$unsorted)) % 4.43/4.65 (define @t178 () (tptp.ordered_pair @t88 @t177)) % 4.43/4.65 (define @t179 () (tptp.in @t177 @t2)) % 4.43/4.65 (define @t180 () (@list @t88 @t177)) % 4.43/4.65 (define @t181 () (tptp.below @t1 @t2 @t41)) % 4.43/4.65 (define @t182 () (not @t149)) % 4.43/4.65 (define @t183 () (not @t139)) % 4.43/4.65 (define @t184 () (tptp.in @t2 @t41)) % 4.43/4.65 (define @t185 () (tptp.cast_as_carrier_subset @t1)) % 4.43/4.65 (define @t186 () (forall @t106 (=> @t78 @t149))) % 4.43/4.65 (define @t187 () (not @t130)) % 4.43/4.65 (define @t188 () (tptp.subset @t41 @t2)) % 4.43/4.65 (define @t189 () (tptp.is_well_founded_in @t1 @t2)) % 4.43/4.65 (define @t190 () (tptp.apply @t1 @t2)) % 4.43/4.65 (define @t191 () (= @t41 @t190)) % 4.43/4.65 (define @t192 () (tptp.in @t2 @t97)) % 4.43/4.65 (define @t193 () (tptp.in (tptp.ordered_pair @t76 @t41) @t1)) % 4.43/4.65 (define @t194 () (tptp.is_antisymmetric_in @t1 @t2)) % 4.43/4.65 (define @t195 () (tptp.cast_to_subset @t1)) % 4.43/4.65 (define @t196 () (tptp.union @t1)) % 4.43/4.65 (define @t197 () (tptp.reflexive @t1)) % 4.43/4.65 (define @t198 () (tptp.well_ordering @t1)) % 4.43/4.65 (define @t199 () (tptp.relation_rng @t41)) % 4.43/4.65 (define @t200 () (tptp.relation_dom @t41)) % 4.43/4.65 (define @t201 () (= @t200 @t1)) % 4.43/4.65 (define @t202 () (tptp.one_to_one @t41)) % 4.43/4.65 (define @t203 () (tptp.function @t41)) % 4.43/4.65 (define @t204 () (tptp.equipotent @t1 @t2)) % 4.43/4.65 (define @t205 () (tptp.set_difference @t1 @t2)) % 4.43/4.65 (define @t206 () (and @t110 (= @t41 @t109))) % 4.43/4.65 (define @t207 () (tptp.relation_rng @t1)) % 4.43/4.65 (define @t208 () (= @t2 @t207)) % 4.43/4.65 (define @t209 () (tptp.being_limit_ordinal @t1)) % 4.43/4.65 (define @t210 () (tptp.open_subset @t2 @t1)) % 4.43/4.65 (define @t211 () (tptp.subset_complement @t1 @t2)) % 4.43/4.65 (define @t212 () (tptp.ordered_pair @t1 @t2)) % 4.43/4.65 (define @t213 () (tptp.is_connected_in @t1 @t2)) % 4.43/4.65 (define @t214 () (tptp.is_transitive_in @t1 @t2)) % 4.43/4.65 (define @t215 () (tptp.subset_difference @t57 @t185 @t2)) % 4.43/4.65 (define @t216 () (tptp.closed_subset @t2 @t1)) % 4.43/4.65 (define @t217 () (tptp.cartesian_product2 @t2 @t2)) % 4.43/4.65 (define @t218 () (tptp.relation_restriction @t1 @t2)) % 4.43/4.65 (define @t219 () (tptp.relation_inverse @t1)) % 4.43/4.65 (define @t220 () (tptp.apply @t41 @t88)) % 4.43/4.65 (define @t221 () (tptp.apply @t41 @t76)) % 4.43/4.65 (define @t222 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 4.43/4.65 (define @t223 () (and @t42 @t203)) % 4.43/4.65 (define @t224 () (tptp.disjoint @t1 @t2)) % 4.43/4.65 (define @t225 () (tptp.meet_absorbing @t1)) % 4.43/4.65 (define @t226 () (tptp.latt_str @t1)) % 4.43/4.65 (define @t227 () (@list @t177)) % 4.43/4.65 (define @t228 () (tptp.relation_composition @t1 @t2)) % 4.43/4.65 (define @t229 () (@list @t41 @t76 @t88)) % 4.43/4.65 (define @t230 () (tptp.complements_of_subsets @t1 @t2)) % 4.43/4.65 (define @t231 () (tptp.powerset @t24)) % 4.43/4.65 (define @t232 () (tptp.element @t2 @t231)) % 4.43/4.65 (define @t233 () (not @t87)) % 4.43/4.65 (define @t234 () (tptp.function_inverse @t1)) % 4.43/4.65 (define @t235 () (tptp.element @t159 @t112)) % 4.43/4.65 (define @t236 () (and @t117 @t116)) % 4.43/4.65 (define @t237 () (forall @t6 (=> @t236 @t235))) % 4.43/4.65 (define @t238 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t76 @t88 @t177)) % 4.43/4.65 (define @t239 () (tptp.function @t76)) % 4.43/4.65 (define @t240 () (not @t173)) % 4.43/4.65 (define @t241 () (and @t174 @t240 @t239 (tptp.quasi_total @t76 @t43 @t41) (tptp.relation_of2 @t76 @t43 @t41) (tptp.element @t88 @t1) (tptp.element @t177 @t2))) % 4.43/4.65 (define @t242 () (@list @t1 @t2 @t41 @t76 @t88 @t177)) % 4.43/4.65 (define @t243 () (tptp.element @t211 @t24)) % 4.43/4.65 (define @t244 () (forall @t6 (=> @t25 @t243))) % 4.43/4.65 (define @t245 () (tptp.relation @t219)) % 4.43/4.65 (define @t246 () (tptp.relation @t228)) % 4.43/4.65 (define @t247 () (and @t40 @t84)) % 4.43/4.65 (define @t248 () (tptp.powerset @t2)) % 4.43/4.65 (define @t249 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 4.43/4.65 (define @t250 () (tptp.union_of_subsets @t1 @t2)) % 4.43/4.65 (define @t251 () (tptp.element @t114 @t112)) % 4.43/4.65 (define @t252 () (forall @t6 (=> @t236 @t251))) % 4.43/4.65 (define @t253 () (tptp.relation @t82)) % 4.43/4.65 (define @t254 () (tptp.meet_of_subsets @t1 @t2)) % 4.43/4.65 (define @t255 () (tptp.subset_difference @t1 @t2 @t41)) % 4.43/4.65 (define @t256 () (tptp.relation @t94)) % 4.43/4.65 (define @t257 () (tptp.relation @t105)) % 4.43/4.65 (define @t258 () (tptp.cartesian_product2 @t57 @t57)) % 4.43/4.65 (define @t259 () (tptp.finite @t66)) % 4.43/4.65 (define @t260 () (tptp.relation_composition @t2 @t1)) % 4.43/4.65 (define @t261 () (and @t22 @t84)) % 4.43/4.65 (define @t262 () (tptp.relation_empty_yielding tptp.empty_set)) % 4.43/4.65 (define @t263 () (tptp.relation tptp.empty_set)) % 4.43/4.65 (define @t264 () (tptp.empty tptp.empty_set)) % 4.43/4.65 (define @t265 () (tptp.relation_empty_yielding @t1)) % 4.43/4.65 (define @t266 () (and @t40 @t265)) % 4.43/4.65 (define @t267 () (not (tptp.empty @t142))) % 4.43/4.65 (define @t268 () (not (tptp.empty @t24))) % 4.43/4.65 (define @t269 () (not (tptp.empty @t143))) % 4.43/4.65 (define @t270 () (and @t63 @t157)) % 4.43/4.65 (define @t271 () (tptp.v1_membered @t66)) % 4.43/4.65 (define @t272 () (tptp.v1_membered @t65)) % 4.43/4.65 (define @t273 () (tptp.v2_membered @t66)) % 4.43/4.65 (define @t274 () (tptp.ordinal @t143)) % 4.43/4.65 (define @t275 () (tptp.epsilon_connected @t143)) % 4.43/4.65 (define @t276 () (tptp.epsilon_transitive @t143)) % 4.43/4.65 (define @t277 () (tptp.closed_subset @t114 @t1)) % 4.43/4.65 (define @t278 () (and @t148 @t117 @t116)) % 4.43/4.65 (define @t279 () (forall @t6 (=> @t278 @t277))) % 4.43/4.65 (define @t280 () (tptp.v2_membered @t65)) % 4.43/4.65 (define @t281 () (tptp.v3_membered @t66)) % 4.43/4.65 (define @t282 () (tptp.v3_membered @t65)) % 4.43/4.65 (define @t283 () (tptp.v4_membered @t66)) % 4.43/4.65 (define @t284 () (tptp.v4_membered @t65)) % 4.43/4.65 (define @t285 () (tptp.v1_membered @t205)) % 4.43/4.65 (define @t286 () (tptp.v2_membered @t205)) % 4.43/4.65 (define @t287 () (tptp.v3_membered @t205)) % 4.43/4.65 (define @t288 () (tptp.open_subset @t158 @t1)) % 4.43/4.65 (define @t289 () (tptp.v4_membered @t205)) % 4.43/4.65 (define @t290 () (tptp.closed_subset @t158 @t1)) % 4.43/4.65 (define @t291 () (and @t84 @t125)) % 4.43/4.65 (define @t292 () (and @t148 @t117)) % 4.43/4.65 (define @t293 () (tptp.empty @t97)) % 4.43/4.65 (define @t294 () (and @t174 @t40)) % 4.43/4.65 (define @t295 () (tptp.empty @t207)) % 4.43/4.65 (define @t296 () (tptp.subset_complement @t1 @t211)) % 4.43/4.65 (define @t297 () (=> @t25 (= @t296 @t2))) % 4.43/4.65 (define @t298 () (forall @t6 @t297)) % 4.43/4.65 (define @t299 () (tptp.in @t2 @t107)) % 4.43/4.65 (define @t300 () (tptp.disjoint @t142 @t2)) % 4.43/4.65 (define @t301 () (not @t5)) % 4.43/4.65 (define @t302 () (tptp.well_ordering @t2)) % 4.43/4.65 (define @t303 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 4.43/4.65 (define @t304 () (tptp.singleton @t41)) % 4.43/4.65 (define @t305 () (not @t128)) % 4.43/4.65 (define @t306 () (tptp.singleton @t2)) % 4.43/4.65 (define @t307 () (tptp.union @t2)) % 4.43/4.65 (define @t308 () (tptp.in @t1 @t41)) % 4.43/4.65 (define @t309 () (tptp.element @t1 @t248)) % 4.43/4.65 (define @t310 () (tptp.relation_dom_restriction @t41 @t1)) % 4.43/4.65 (define @t311 () (tptp.in @t2 (tptp.relation_dom @t310))) % 4.43/4.65 (define @t312 () (tptp.one_to_one @t2)) % 4.43/4.65 (define @t313 () (tptp.set_intersection2 @t2 @t41)) % 4.43/4.65 (define @t314 () (tptp.set_difference @t2 @t41)) % 4.43/4.65 (define @t315 () (@var "K" $$unsorted)) % 4.43/4.65 (define @t316 () (@var "J" $$unsorted)) % 4.43/4.65 (define @t317 () (tptp.in @t315 @t316)) % 4.43/4.65 (define @t318 () (@list @t315)) % 4.43/4.65 (define @t319 () (@list @t316)) % 4.43/4.65 (define @t320 () (= @t76 @t88)) % 4.43/4.65 (define @t321 () (@var "I" $$unsorted)) % 4.43/4.65 (define @t322 () (@var "H" $$unsorted)) % 4.43/4.65 (define @t323 () (tptp.in @t321 @t322)) % 4.43/4.65 (define @t324 () (@list @t321)) % 4.43/4.65 (define @t325 () (@list @t322)) % 4.43/4.65 (define @t326 () (exists @t325 (and (= @t41 @t322) (tptp.in @t88 @t322) (forall @t324 (=> @t323 (tptp.in (tptp.ordered_pair @t88 @t321) @t2)))))) % 4.43/4.65 (define @t327 () (@var "G" $$unsorted)) % 4.43/4.65 (define @t328 () (tptp.in @t327 @t177)) % 4.43/4.65 (define @t329 () (@list @t327)) % 4.43/4.65 (define @t330 () (exists @t227 (and (= @t41 @t177) (tptp.in @t76 @t177) (forall @t329 (=> @t328 (tptp.in (tptp.ordered_pair @t76 @t327) @t2)))))) % 4.43/4.65 (define @t331 () (forall @t229 (=> (and @t78 @t330 @t78 @t326) @t320))) % 4.43/4.65 (define @t332 () (and @t174 @t84)) % 4.43/4.65 (define @t333 () (= @t76 @t306)) % 4.43/4.65 (define @t334 () (= @t41 @t306)) % 4.43/4.65 (define @t335 () (forall @t129 (=> (and @t3 @t334 @t3 @t333) @t77))) % 4.43/4.65 (define @t336 () (tptp.ordinal @t41)) % 4.43/4.65 (define @t337 () (@var "S" $$unsorted)) % 4.43/4.65 (define @t338 () (@var "T" $$unsorted)) % 4.43/4.65 (define @t339 () (@var "R" $$unsorted)) % 4.43/4.65 (define @t340 () (tptp.powerset (tptp.powerset @t76))) % 4.43/4.65 (define @t341 () (@list @t339)) % 4.43/4.65 (define @t342 () (tptp.in @t76 tptp.omega)) % 4.43/4.65 (define @t343 () (tptp.ordinal @t76)) % 4.43/4.65 (define @t344 () (@var "P" $$unsorted)) % 4.43/4.65 (define @t345 () (@var "Q" $$unsorted)) % 4.43/4.65 (define @t346 () (@var "O" $$unsorted)) % 4.43/4.65 (define @t347 () (@list @t345)) % 4.43/4.65 (define @t348 () (@list @t344)) % 4.43/4.65 (define @t349 () (@list @t346)) % 4.43/4.65 (define @t350 () (@var "M" $$unsorted)) % 4.43/4.65 (define @t351 () (@var "N" $$unsorted)) % 4.43/4.65 (define @t352 () (@var "L" $$unsorted)) % 4.43/4.65 (define @t353 () (@list @t351)) % 4.43/4.65 (define @t354 () (tptp.in @t350 @t352)) % 4.43/4.65 (define @t355 () (@list @t350)) % 4.43/4.65 (define @t356 () (@list @t352)) % 4.43/4.65 (define @t357 () (tptp.succ @t76)) % 4.43/4.65 (define @t358 () (=> @t342 (forall @t98 (=> (tptp.element @t88 @t340) (not (and (not (= @t88 tptp.empty_set)) (forall @t227 (not (and (tptp.in @t177 @t88) (forall @t329 (=> (and (tptp.in @t327 @t88) (tptp.subset @t177 @t327)) (= @t327 @t177)))))))))))) % 4.43/4.65 (define @t359 () (tptp.subset @t2 @t41)) % 4.43/4.65 (define @t360 () (tptp.powerset tptp.empty_set)) % 4.43/4.65 (define @t361 () (tptp.apply @t41 @t177)) % 4.43/4.65 (define @t362 () (tptp.in @t177 @t1)) % 4.43/4.65 (define @t363 () (tptp.relation @t76)) % 4.43/4.65 (define @t364 () (and @t84 @t42 @t203)) % 4.43/4.65 (define @t365 () (forall @t318 (=> @t317 (tptp.in (tptp.ordered_pair @t76 @t315) @t2)))) % 4.43/4.65 (define @t366 () (tptp.in @t76 @t316)) % 4.43/4.65 (define @t367 () (= @t177 @t88)) % 4.43/4.65 (define @t368 () (tptp.cartesian_product2 @t1 @t41)) % 4.43/4.65 (define @t369 () (= @t88 @t177)) % 4.43/4.65 (define @t370 () (tptp.ordered_pair @t315 @t352)) % 4.43/4.65 (define @t371 () (@list @t315 @t352)) % 4.43/4.65 (define @t372 () (= @t76 @t177)) % 4.43/4.65 (define @t373 () (tptp.in @t316 @t321)) % 4.43/4.65 (define @t374 () (tptp.in @t327 @t1)) % 4.43/4.65 (define @t375 () (tptp.ordered_pair @t327 @t322)) % 4.43/4.65 (define @t376 () (@list @t327 @t322)) % 4.43/4.65 (define @t377 () (@list @t76 @t88 @t177)) % 4.43/4.65 (define @t378 () (= @t88 @t76)) % 4.43/4.65 (define @t379 () (tptp.in @t322 @t1)) % 4.43/4.65 (define @t380 () (= @t41 @t88)) % 4.43/4.65 (define @t381 () (tptp.ordered_pair @t177 @t327)) % 4.43/4.65 (define @t382 () (@list @t177 @t327)) % 4.43/4.65 (define @t383 () (= @t76 @t41)) % 4.43/4.65 (define @t384 () (not (and (not (= @t177 tptp.empty_set)) (forall @t329 (not (and @t328 (forall @t325 (=> (and (tptp.in @t322 @t177) (tptp.subset @t327 @t322)) (= @t322 @t327))))))))) % 4.43/4.65 (define @t385 () (tptp.ordinal @t88)) % 4.43/4.65 (define @t386 () (tptp.subset @t2 @t76)) % 4.43/4.65 (define @t387 () (tptp.in @t88 @t112)) % 4.43/4.65 (define @t388 () (tptp.in (tptp.set_difference @t185 @t76) @t2)) % 4.43/4.65 (define @t389 () (and @t148 @t117 @t147)) % 4.43/4.65 (define @t390 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t143))))) % 4.43/4.65 (define @t391 () (tptp.cartesian_product2 @t1 @t1)) % 4.43/4.65 (define @t392 () (tptp.apply @t41 @t327)) % 4.43/4.65 (define @t393 () (tptp.in (tptp.relation_image @t41 @t88) @t2)) % 4.43/4.65 (define @t394 () (tptp.powerset @t200)) % 4.43/4.65 (define @t395 () (and @t232 @t42 @t203)) % 4.43/4.65 (define @t396 () (tptp.succ @t2)) % 4.43/4.65 (define @t397 () (exists @t98 (and @t113 @t378 (tptp.closed_subset @t88 @t1) @t386))) % 4.43/4.65 (define @t398 () (tptp.in @t76 @t112)) % 4.43/4.65 (define @t399 () (tptp.apply @t2 @t41)) % 4.43/4.65 (define @t400 () (= @t123 @t1)) % 4.43/4.65 (define @t401 () (exists @t11 (and @t84 @t125 @t400 (forall @t106 (=> @t78 (= @t399 @t304)))))) % 4.43/4.65 (define @t402 () (tptp.in @t1 tptp.omega)) % 4.43/4.65 (define @t403 () (tptp.element @t76 @t112)) % 4.43/4.65 (define @t404 () (tptp.element @t41 @t146)) % 4.43/4.65 (define @t405 () (= @t1 @t41)) % 4.43/4.65 (define @t406 () (tptp.relation_rng @t105)) % 4.43/4.65 (define @t407 () (forall @t106 (not (and @t188 (not (tptp.are_equipotent @t41 @t2)) @t182)))) % 4.43/4.65 (define @t408 () (tptp.powerset @t41)) % 4.43/4.65 (define @t409 () (forall @t81 (=> (and @t149 (tptp.subset @t76 @t41)) @t91))) % 4.43/4.65 (define @t410 () (tptp.relation_dom_restriction @t41 @t2)) % 4.43/4.65 (define @t411 () (tptp.relation_image @t2 @t1)) % 4.43/4.65 (define @t412 () (tptp.relation_inverse_image @t2 @t1)) % 4.43/4.65 (define @t413 () (tptp.relation_image @t2 @t412)) % 4.43/4.65 (define @t414 () (tptp.set_intersection2 @t123 @t1)) % 4.43/4.65 (define @t415 () (tptp.subset @t1 @t124)) % 4.43/4.65 (define @t416 () (tptp.relation_of2_as_subset @t76 @t41 @t2)) % 4.43/4.65 (define @t417 () (tptp.relation_rng @t76)) % 4.43/4.65 (define @t418 () (tptp.relation_of2_as_subset @t76 @t41 @t1)) % 4.43/4.65 (define @t419 () (tptp.relation_rng @t228)) % 4.43/4.65 (define @t420 () (tptp.relation_inverse_image @t41 @t2)) % 4.43/4.65 (define @t421 () (tptp.relation_restriction @t41 @t2)) % 4.43/4.65 (define @t422 () (tptp.relation_restriction @t2 @t1)) % 4.43/4.65 (define @t423 () (tptp.relation_dom_restriction @t2 @t1)) % 4.43/4.65 (define @t424 () (tptp.relation_field @t41)) % 4.43/4.65 (define @t425 () (tptp.in @t1 @t424)) % 4.43/4.65 (define @t426 () (tptp.subset @t1 @t41)) % 4.43/4.65 (define @t427 () (tptp.element @t1 @t2)) % 4.43/4.65 (define @t428 () (tptp.in @t1 @t200)) % 4.43/4.65 (define @t429 () (tptp.in @t212 @t41)) % 4.43/4.65 (define @t430 () (tptp.relation_field @t422)) % 4.43/4.65 (define @t431 () (tptp.apply @t41 @t1)) % 4.43/4.65 (define @t432 () (tptp.relation_composition @t41 @t2)) % 4.43/4.65 (define @t433 () (tptp.in @t1 (tptp.relation_dom @t432))) % 4.43/4.65 (define @t434 () (tptp.apply @t76 @t41)) % 4.43/4.65 (define @t435 () (and @t239 (tptp.quasi_total @t76 @t1 @t2) (tptp.relation_of2_as_subset @t76 @t1 @t2))) % 4.43/4.65 (define @t436 () (tptp.reflexive @t2)) % 4.43/4.65 (define @t437 () (tptp.connected @t2)) % 4.43/4.65 (define @t438 () (tptp.transitive @t2)) % 4.43/4.65 (define @t439 () (tptp.antisymmetric @t2)) % 4.43/4.65 (define @t440 () (tptp.well_ordering @t422)) % 4.43/4.65 (define @t441 () (= @t430 @t1)) % 4.43/4.65 (define @t442 () (tptp.well_orders @t2 @t1)) % 4.43/4.65 (define @t443 () (= @t210 @t290)) % 4.43/4.65 (define @t444 () (forall @t11 (=> @t116 @t443))) % 4.43/4.65 (define @t445 () (=> @t117 @t444)) % 4.43/4.65 (define @t446 () (forall @t13 @t445)) % 4.43/4.65 (define @t447 () (tptp.well_founded_relation @t2)) % 4.43/4.65 (define @t448 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 4.43/4.65 (define @t449 () (and @t78 @t149)) % 4.43/4.65 (define @t450 () (not @t224)) % 4.43/4.65 (define @t451 () (= @t1 @t396)) % 4.43/4.65 (define @t452 () (tptp.subset_complement @t1 @t41)) % 4.43/4.65 (define @t453 () (tptp.disjoint @t2 @t41)) % 4.43/4.65 (define @t454 () (tptp.relation_dom @t228)) % 4.43/4.65 (define @t455 () (and (tptp.closed_subset @t76 @t1) @t386)) % 4.43/4.65 (define @t456 () (tptp.element @t2 @t408)) % 4.43/4.65 (define @t457 () (tptp.in @t41 @t66)) % 4.43/4.65 (define @t458 () (tptp.open_subset @t159 @t1)) % 4.43/4.65 (define @t459 () (forall @t11 (=> @t116 @t458))) % 4.43/4.65 (define @t460 () (=> @t292 @t459)) % 4.43/4.65 (define @t461 () (forall @t13 @t460)) % 4.43/4.65 (define @t462 () (not @t461)) % 4.43/4.65 (define @t463 () (= @t114 @t2)) % 4.43/4.65 (define @t464 () (and (tptp.in @t41 @t207) (= @t76 @t399))) % 4.43/4.65 (define @t465 () (tptp.function_inverse @t2)) % 4.43/4.65 (define @t466 () (= @t207 tptp.empty_set)) % 4.43/4.65 (define @t467 () (= @t97 tptp.empty_set)) % 4.43/4.65 (define @t468 () (= (tptp.apply @t310 @t2) (tptp.apply @t41 @t2))) % 4.43/4.65 (define @t469 () (= @t142 (tptp.unordered_pair @t2 @t41))) % 4.43/4.65 (define @t470 () (not @t116)) % 4.43/4.65 (define @t471 () (not @t117)) % 4.43/4.65 (define @t472 () (not @t148)) % 4.43/4.65 (define @t473 () (or @t472 @t471 @t470)) % 4.43/4.65 (define @t474 () (or @t471 @t470)) % 4.43/4.65 (define @t475 () (not @t236)) % 4.43/4.65 (define @t476 () (@var "BOUND_VARIABLE_17235" $$unsorted)) % 4.43/4.65 (define @t477 () (tptp.open_subset (tptp.interior @t1 @t476) @t1)) % 4.43/4.65 (define @t478 () (not (tptp.element @t476 @t112))) % 4.43/4.65 (define @t479 () (or @t472 @t471 @t478 @t477)) % 4.43/4.65 (define @t480 () (@list @t1 @t476)) % 4.43/4.65 (define @t481 () (forall @t480 @t479)) % 4.43/4.65 (define @t482 () (@quantifiers_skolemize @t481 1)) % 4.43/4.65 (define @t483 () (@quantifiers_skolemize @t481 0)) % 4.43/4.65 (define @t484 () (tptp.the_carrier @t483)) % 4.43/4.65 (define @t485 () (tptp.subset_complement @t484 @t482)) % 4.43/4.65 (define @t486 () (@list @t483 @t485)) % 4.43/4.65 (define @t487 () (or @t478 @t477)) % 4.43/4.65 (define @t488 () (or @t472 @t471 @t487)) % 4.43/4.65 (define @t489 () (forall @t480 @t488)) % 4.43/4.65 (define @t490 () (@list @t476)) % 4.43/4.65 (define @t491 () (forall @t490 @t488)) % 4.43/4.65 (define @t492 () (forall @t490 @t487)) % 4.43/4.65 (define @t493 () (@list @t2)) % 4.43/4.65 (define @t494 () (or @t472 @t471 @t492)) % 4.43/4.65 (define @t495 () (forall @t11 (or @t470 @t458))) % 4.43/4.65 (define @t496 () (or @t472 @t471 @t495)) % 4.43/4.65 (define @t497 () (tptp.powerset @t484)) % 4.43/4.65 (define @t498 () (tptp.element @t482 @t497)) % 4.43/4.65 (define @t499 () (tptp.interior @t483 @t482)) % 4.43/4.65 (define @t500 () (tptp.open_subset @t499 @t483)) % 4.43/4.65 (define @t501 () (not @t498)) % 4.43/4.65 (define @t502 () (tptp.top_str @t483)) % 4.43/4.65 (define @t503 () (not @t502)) % 4.43/4.65 (define @t504 () (tptp.topological_space @t483)) % 4.43/4.65 (define @t505 () (not @t504)) % 4.43/4.65 (define @t506 () (or @t505 @t503 @t501 @t500)) % 4.43/4.65 (define @t507 () (@list true)) % 4.43/4.65 (define @t508 () (@list @t506)) % 4.43/4.65 (define @t509 () (tptp.element @t485 @t497)) % 4.43/4.65 (define @t510 () (or @t501 @t509)) % 4.43/4.65 (define @t511 () (@list false false)) % 4.43/4.65 (define @t512 () (tptp.topstr_closure @t483 @t485)) % 4.43/4.65 (define @t513 () (tptp.closed_subset @t512 @t483)) % 4.43/4.65 (define @t514 () (not @t509)) % 4.43/4.65 (define @t515 () (or @t505 @t503 @t514 @t513)) % 4.43/4.65 (define @t516 () (= @t2 @t296)) % 4.43/4.65 (define @t517 () (tptp.element @t512 @t497)) % 4.43/4.65 (define @t518 () (or @t503 @t514 @t517)) % 4.43/4.65 (define @t519 () (@list false false false)) % 4.43/4.65 (define @t520 () (tptp.subset_complement @t484 @t512)) % 4.43/4.65 (define @t521 () (= @t512 (tptp.subset_complement @t484 @t520))) % 4.43/4.65 (define @t522 () (not @t517)) % 4.43/4.65 (define @t523 () (or @t522 @t521)) % 4.43/4.65 (define @t524 () (@var "BOUND_VARIABLE_11842" $$unsorted)) % 4.43/4.65 (define @t525 () (= (tptp.interior @t1 @t524) (tptp.subset_complement @t57 (tptp.topstr_closure @t1 (tptp.subset_complement @t57 @t524))))) % 4.43/4.65 (define @t526 () (not (tptp.element @t524 @t112))) % 4.43/4.65 (define @t527 () (or @t526 @t525)) % 4.43/4.65 (define @t528 () (or @t471 @t527)) % 4.43/4.65 (define @t529 () (forall (@list @t1 @t524) @t528)) % 4.43/4.65 (define @t530 () (@list @t524)) % 4.43/4.65 (define @t531 () (forall @t530 @t528)) % 4.43/4.65 (define @t532 () (forall @t530 @t527)) % 4.43/4.65 (define @t533 () (or @t471 @t532)) % 4.43/4.65 (define @t534 () (forall @t11 (or @t470 @t160))) % 4.43/4.65 (define @t535 () (@list @t483 @t482)) % 4.43/4.65 (define @t536 () (= @t499 @t520)) % 4.43/4.65 (define @t537 () (or @t503 @t501 @t536)) % 4.43/4.65 (define @t538 () (tptp.subset_complement @t484 @t499)) % 4.43/4.65 (define @t539 () (tptp.closed_subset @t538 @t483)) % 4.43/4.65 (define @t540 () (@var "BOUND_VARIABLE_16510" $$unsorted)) % 4.43/4.65 (define @t541 () (= (tptp.open_subset @t540 @t1) (tptp.closed_subset (tptp.subset_complement @t57 @t540) @t1))) % 4.43/4.65 (define @t542 () (not (tptp.element @t540 @t112))) % 4.43/4.65 (define @t543 () (or @t542 @t541)) % 4.43/4.65 (define @t544 () (or @t471 @t543)) % 4.43/4.65 (define @t545 () (forall (@list @t1 @t540) @t544)) % 4.43/4.65 (define @t546 () (@list @t540)) % 4.43/4.65 (define @t547 () (forall @t546 @t544)) % 4.43/4.65 (define @t548 () (forall @t546 @t543)) % 4.43/4.65 (define @t549 () (or @t471 @t548)) % 4.43/4.65 (define @t550 () (forall @t11 (or @t470 @t443))) % 4.43/4.65 (define @t551 () (tptp.element @t499 @t497)) % 4.43/4.65 (define @t552 () (or @t503 @t501 @t551)) % 4.43/4.65 (define @t553 () (= @t500 @t539)) % 4.43/4.65 (define @t554 () (not @t551)) % 4.43/4.65 (define @t555 () (or @t503 @t554 @t553)) % 4.43/4.65 (define @t556 () (not @t539)) % 4.43/4.65 (assume @p1 (forall @t6 (=> @t5 @t4))) % 4.43/4.65 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 4.43/4.65 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 4.43/4.65 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 4.43/4.65 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 4.43/4.65 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 4.43/4.65 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 4.43/4.65 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 4.43/4.65 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 4.43/4.65 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 4.43/4.65 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 4.43/4.65 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 4.43/4.65 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 4.43/4.65 (assume @p14 (forall @t13 (=> @t22 @t33))) % 4.43/4.65 (assume @p15 (forall @t13 (=> @t35 @t34))) % 4.43/4.65 (assume @p16 (forall @t13 (=> @t22 @t36))) % 4.43/4.65 (assume @p17 (forall @t13 (=> @t21 @t19))) % 4.43/4.65 (assume @p18 (forall @t13 (=> @t32 @t39))) % 4.43/4.65 (assume @p19 (forall @t13 (=> @t22 @t40))) % 4.43/4.65 (assume @p20 (forall @t45 (=> @t44 @t42))) % 4.43/4.65 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 4.43/4.65 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 4.43/4.65 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 4.43/4.65 (assume @p24 (forall @t13 (=> @t34 @t35))) % 4.43/4.65 (assume @p25 (forall @t13 (=> @t51 @t50))) % 4.43/4.65 (assume @p26 (forall @t13 (=> @t19 @t17))) % 4.43/4.65 (assume @p27 (forall @t13 (=> @t39 @t32))) % 4.43/4.65 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 4.43/4.65 (assume @p29 (forall @t13 (=> @t17 @t15))) % 4.43/4.65 (assume @p30 (forall @t13 (=> @t22 @t52))) % 4.43/4.65 (assume @p31 (forall @t13 (=> @t15 @t12))) % 4.43/4.65 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 4.43/4.65 (assume @p33 (forall @t6 (= @t55 @t54))) % 4.43/4.65 (assume @p34 (forall @t45 (=> @t64 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 4.43/4.65 (assume @p35 (forall @t6 (= @t66 @t65))) % 4.43/4.65 (assume @p36 (forall @t45 (=> @t70 (= @t67 (tptp.meet_commut @t1 @t41 @t2))))) % 4.43/4.65 (assume @p37 (forall @t45 (=> @t73 (= @t71 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 4.43/4.65 (assume @p38 (forall @t6 (=> @t75 (or @t74 (tptp.ordinal_subset @t2 @t1))))) % 4.43/4.65 (assume @p39 (forall @t6 (=> @t84 (= @t83 (forall @t81 (= @t80 (and @t78 @t77))))))) % 4.43/4.65 (assume @p40 (forall @t6 (= @t87 (and @t86 @t85)))) % 4.43/4.65 (assume @p41 (forall @t13 (=> @t40 (forall @t95 (=> @t42 (= (= @t41 @t94) (forall @t93 (= @t92 (and @t91 @t90))))))))) % 4.43/4.65 (assume @p42 (forall @t13 (=> @t103 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t97) @t96 (= @t76 (tptp.apply @t1 @t88))))))))))) % 4.43/4.65 (assume @p43 (forall @t6 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t105) (forall @t93 (= @t92 (and @t104 (tptp.in @t89 @t2)))))))))) % 4.43/4.65 (assume @p44 (forall @t13 (=> @t40 (= @t108 (tptp.is_antisymmetric_in @t1 @t107))))) % 4.43/4.65 (assume @p45 (forall @t13 (=> @t103 (forall @t95 (= @t111 (forall @t100 (= @t99 (and @t110 (tptp.in @t109 @t2))))))))) % 4.43/4.65 (assume @p46 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> @t115 (= (= @t41 @t114) (forall @t100 (=> (tptp.in @t76 @t57) (= @t99 (forall @t98 (=> @t113 (not (and (tptp.open_subset @t88 @t1) (tptp.in @t76 @t88) (tptp.disjoint @t2 @t88)))))))))))))))) % 4.43/4.65 (assume @p47 (forall @t13 (=> @t40 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t118 @t1) @t96))))))))) % 4.43/4.65 (assume @p48 (forall @t13 (=> @t40 (forall @t95 (= @t111 (forall @t100 (= @t99 (exists @t98 (and @t90 @t96))))))))) % 4.43/4.65 (assume @p49 (forall @t13 (=> @t40 (= @t119 (tptp.is_connected_in @t1 @t107))))) % 4.43/4.65 (assume @p50 (forall @t13 (=> @t40 (= @t120 (tptp.is_transitive_in @t1 @t107))))) % 4.43/4.65 (assume @p51 (forall @t122 (= (= @t76 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t98 (= @t121 (not (and (not (= @t88 @t1)) (not (= @t88 @t2)) (not (= @t88 @t41))))))))) % 4.43/4.65 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t84 @t125 (= @t124 @t1) (tptp.in @t123 tptp.omega)))))) % 4.43/4.65 (assume @p53 (forall @t13 (= @t36 (forall @t129 (=> (and @t128 @t126) @t77))))) % 4.43/4.65 (assume @p54 (forall @t45 (=> @t135 (and (=> (=> @t133 @t132) (= @t131 (= @t1 @t134))) (=> @t133 (or @t132 (= @t131 @t130))))))) % 4.43/4.65 (assume @p55 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t137 (tptp.apply_binary_as_element @t57 @t57 @t57 @t136 @t2 @t41))))))))) % 4.43/4.65 (assume @p56 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t81 (=> @t140 @t139))))))) % 4.43/4.65 (assume @p57 (forall @t13 (= @t143 (tptp.set_union2 @t1 @t142)))) % 4.43/4.65 (assume @p58 (forall @t13 (=> @t117 (= @t148 (and (tptp.in @t57 @t144) (forall @t11 (=> @t147 (=> (tptp.subset @t2 @t144) (tptp.in (tptp.union_of_subsets @t57 @t2) @t144)))) (forall @t11 (=> @t116 (forall @t106 (=> @t115 (=> (and @t145 (tptp.in @t41 @t144)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t144))))))))))) % 4.43/4.65 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t81 (not (= @t2 @t79))))))))) % 4.43/4.65 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t150 (forall @t106 (=> @t149 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 4.43/4.65 (assume @p61 (forall @t45 (= @t151 (tptp.subset @t41 @t43)))) % 4.43/4.65 (assume @p62 (forall @t6 (and (=> @t155 (= @t152 (forall @t106 (= @t149 (forall @t100 (=> @t154 @t153)))))) (=> @t132 (= @t152 @t133))))) % 4.43/4.65 (assume @p63 (forall @t13 (=> @t157 (= @t62 @t156)))) % 4.43/4.65 (assume @p64 (forall @t6 (= (= @t2 @t142) (forall @t106 (= @t149 (= @t41 @t1)))))) % 4.43/4.65 (assume @p65 @t163) % 4.43/4.65 (assume @p66 (forall @t13 (=> @t40 (forall @t95 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t100 (= @t99 (and (not @t164) (tptp.in (tptp.ordered_pair @t76 @t2) @t1))))))))) % 4.43/4.65 (assume @p67 (forall @t6 (=> @t84 (= (= @t2 @t167) (and (= @t166 @t1) (forall @t81 (=> (and @t78 @t154) (= @t80 @t165)))))))) % 4.43/4.65 (assume @p68 (forall @t13 (= @t132 (forall @t11 @t4)))) % 4.43/4.65 (assume @p69 (forall @t6 (= (= @t2 @t24) (forall @t106 (= @t149 (tptp.subset @t41 @t1)))))) % 4.43/4.65 (assume @p70 (forall @t13 (=> (and @t63 @t68) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t169 (tptp.apply_binary_as_element @t57 @t57 @t57 @t168 @t2 @t41))))))))) % 4.43/4.65 (assume @p71 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t81 (=> @t140 @t170))))))) % 4.43/4.65 (assume @p72 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t85))))) % 4.43/4.65 (assume @p73 (forall @t13 (=> @t157 (= @t171 tptp.empty_set)))) % 4.43/4.65 (assume @p74 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t87 (forall @t81 (= @t172 @t80)))))))) % 4.43/4.65 (assume @p75 (forall @t6 (and (=> @t174 (= @t10 @t3)) (=> @t22 (= @t10 @t173))))) % 4.43/4.65 (assume @p76 (forall @t45 (= (= @t41 @t53) (forall @t100 (= @t99 (or (= @t76 @t1) @t164)))))) % 4.43/4.65 (assume @p77 (forall @t13 (=> @t40 (= @t176 (forall @t11 (not (and (tptp.subset @t2 @t107) @t175 (forall @t106 (not (and @t149 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 4.43/4.65 (assume @p78 (forall @t45 (= (= @t41 @t55) (forall @t100 (= @t99 (or @t154 @t91)))))) % 4.43/4.65 (assume @p79 (forall @t45 (= (= @t41 @t43) (forall @t100 (= @t99 (exists @t180 (and @t104 @t179 (= @t76 @t178)))))))) % 4.43/4.65 (assume @p80 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t181 (= @t137 @t41))))))))) % 4.43/4.65 (assume @p81 (forall @t13 (= @t37 (forall @t95 (not (and @t3 @t78 (not @t184) @t183 @t182)))))) % 4.43/4.65 (assume @p82 (forall @t13 (=> @t157 (= @t185 @t57)))) % 4.43/4.65 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t86 (forall @t81 (=> @t172 @t80)))))))) % 4.43/4.65 (assume @p84 (forall @t6 (= @t86 @t186))) % 4.43/4.65 (assume @p85 (forall @t13 (=> @t40 (forall @t11 (= @t189 (forall @t106 (not (and @t188 @t187 (forall @t100 (not (and @t99 (tptp.disjoint (tptp.fiber @t1 @t76) @t41)))))))))))) % 4.43/4.65 (assume @p86 (forall @t45 (= (= @t41 @t66) (forall @t100 (= @t99 (and @t154 @t91)))))) % 4.43/4.65 (assume @p87 (forall @t13 (=> @t103 (forall @t95 (and (=> @t192 (= @t191 @t128)) (=> (not @t192) (= @t191 @t130))))))) % 4.43/4.65 (assume @p88 (forall @t13 (= @t32 @t39))) % 4.43/4.65 (assume @p89 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t97) (forall @t106 (= @t149 (exists @t100 @t172)))))))) % 4.43/4.65 (assume @p90 (forall @t13 (=> @t40 (forall @t11 (= @t194 (forall @t81 (=> (and @t149 @t91 @t172 @t193) @t77))))))) % 4.43/4.65 (assume @p91 (forall @t13 (= @t195 @t1))) % 4.43/4.65 (assume @p92 (forall @t6 (= (= @t2 @t196) (forall @t106 (= @t149 (exists @t100 (and @t153 @t154))))))) % 4.43/4.65 (assume @p93 (forall @t13 (=> @t40 (= @t198 (and @t197 @t120 @t108 @t119 @t176))))) % 4.43/4.65 (assume @p94 (forall @t6 (= @t204 (exists @t106 (and @t42 @t203 @t202 @t201 (= @t199 @t2)))))) % 4.43/4.65 (assume @p95 (forall @t45 (= (= @t41 @t205) (forall @t100 (= @t99 (and @t154 (not @t91))))))) % 4.43/4.65 (assume @p96 (forall @t13 (=> @t103 (forall @t11 (= @t208 (forall @t106 (= @t149 (exists @t100 @t206)))))))) % 4.43/4.65 (assume @p97 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t209 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t86))))))) % 4.43/4.65 (assume @p98 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t210 @t145)))))) % 4.43/4.65 (assume @p99 (forall @t13 (=> @t40 (forall @t11 (= @t208 (forall @t106 (= @t149 (exists @t100 @t193)))))))) % 4.43/4.65 (assume @p100 (forall @t6 (=> @t25 (= @t211 @t205)))) % 4.43/4.65 (assume @p101 (forall @t6 (= @t212 (tptp.unordered_pair @t53 @t142)))) % 4.43/4.65 (assume @p102 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t150 @t214 @t194 @t213 @t189)))))) % 4.43/4.65 (assume @p103 (forall @t13 (= @t209 (= @t1 @t196)))) % 4.43/4.65 (assume @p104 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t216 (tptp.open_subset @t215 @t1))))))) % 4.43/4.65 (assume @p105 (forall @t13 (=> @t40 (= @t107 (tptp.set_union2 @t97 @t207))))) % 4.43/4.65 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (= @t213 (forall @t81 (not (and @t149 @t91 (not @t77) (not @t172) (not @t193))))))))) % 4.43/4.65 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (= @t218 (tptp.set_intersection2 @t1 @t217)))))) % 4.43/4.65 (assume @p108 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= (= @t2 @t219) (forall @t81 (= @t80 @t193)))))))) % 4.43/4.65 (assume @p109 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t223 (= @t222 (and (= @t200 @t107) (= @t199 @t166) @t202 (forall @t93 (= @t90 (and (tptp.in @t76 @t107) (tptp.in @t88 @t107) (tptp.in (tptp.ordered_pair @t221 @t220) @t2))))))))))))) % 4.43/4.65 (assume @p110 (forall @t6 (= @t224 (= @t66 tptp.empty_set)))) % 4.43/4.65 (assume @p111 (forall @t13 (=> @t103 (= @t49 (forall @t95 (=> (and @t192 (tptp.in @t41 @t97) (= @t190 (tptp.apply @t1 @t41))) @t139)))))) % 4.43/4.65 (assume @p112 (forall @t13 (=> (and @t63 @t226) (= @t225 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= (tptp.join @t1 @t169 @t41) @t41))))))))) % 4.43/4.65 (assume @p113 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t228) (forall @t93 (= @t92 (exists @t227 (and (tptp.in (tptp.ordered_pair @t76 @t177) @t1) (tptp.in (tptp.ordered_pair @t177 @t88) @t2))))))))))))) % 4.43/4.65 (assume @p114 (forall @t13 (=> @t40 (forall @t11 (= @t214 (forall @t229 (=> (and @t149 @t91 @t96 @t172 @t90) (tptp.in (tptp.ordered_pair @t41 @t88) @t1)))))))) % 4.43/4.65 (assume @p115 (forall @t6 (=> @t232 (forall @t106 (=> (tptp.element @t41 @t231) (= (= @t41 @t230) (forall @t100 (=> (tptp.element @t76 @t24) (= @t99 (tptp.in (tptp.subset_complement @t1 @t76) @t2)))))))))) % 4.43/4.65 (assume @p116 (forall @t6 (= @t8 (and @t86 @t233)))) % 4.43/4.65 (assume @p117 (forall @t13 (=> @t103 (=> @t49 (= @t234 @t219))))) % 4.43/4.65 (assume @p118 (forall @t13 (=> @t40 (= @t197 (tptp.is_reflexive_in @t1 @t107))))) % 4.43/4.65 (assume @p119 true) % 4.43/4.65 (assume @p120 (forall @t45 (=> (and @t63 @t60 @t59 @t58) (tptp.element @t137 @t57)))) % 4.43/4.65 (assume @p121 (forall @t13 (=> @t157 (tptp.element @t171 @t112)))) % 4.43/4.65 (assume @p122 @t237) % 4.43/4.65 (assume @p123 (forall @t13 (tptp.relation @t167))) % 4.43/4.65 (assume @p124 (forall @t242 (=> @t241 (tptp.element @t238 @t41)))) % 4.43/4.65 (assume @p125 (forall @t13 (=> @t103 (and (tptp.relation @t234) (tptp.function @t234))))) % 4.43/4.65 (assume @p126 (forall @t45 (=> (and @t63 @t68 @t59 @t58) (tptp.element @t169 @t57)))) % 4.43/4.65 (assume @p127 (forall @t13 (=> @t157 (tptp.element @t185 @t112)))) % 4.43/4.65 (assume @p128 (forall @t13 (tptp.element @t195 @t24))) % 4.43/4.65 (assume @p129 (forall @t6 (=> @t40 (tptp.relation @t218)))) % 4.43/4.65 (assume @p130 (forall @t45 (=> @t64 (tptp.element @t56 @t57)))) % 4.43/4.65 (assume @p131 @t244) % 4.43/4.65 (assume @p132 (forall @t45 (=> @t70 (tptp.element @t67 @t57)))) % 4.43/4.65 (assume @p133 (forall @t13 (=> @t40 @t245))) % 4.43/4.65 (assume @p134 (forall @t45 (=> @t151 (tptp.element @t134 @t24)))) % 4.43/4.65 (assume @p135 (forall @t6 (=> @t247 @t246))) % 4.43/4.65 (assume @p136 (forall @t45 (=> @t151 (tptp.element @t249 @t248)))) % 4.43/4.65 (assume @p137 (forall @t6 (=> @t232 (tptp.element @t250 @t24)))) % 4.43/4.65 (assume @p138 (forall @t45 (=> @t73 (tptp.element @t71 @t24)))) % 4.43/4.65 (assume @p139 @t252) % 4.43/4.65 (assume @p140 (forall @t13 @t253)) % 4.43/4.65 (assume @p141 (forall @t6 (=> @t232 (tptp.element @t254 @t24)))) % 4.43/4.65 (assume @p142 (forall @t45 (=> @t73 (tptp.element @t255 @t24)))) % 4.43/4.65 (assume @p143 (forall @t6 (=> @t40 @t256))) % 4.43/4.65 (assume @p144 (forall @t6 (=> @t232 (tptp.element @t230 @t231)))) % 4.43/4.65 (assume @p145 (forall @t6 (=> @t84 @t257))) % 4.43/4.65 (assume @p146 (forall @t13 (=> @t68 @t157))) % 4.43/4.65 (assume @p147 (forall @t13 (=> @t117 @t157))) % 4.43/4.65 (assume @p148 (forall @t13 (=> @t60 @t157))) % 4.43/4.65 (assume @p149 (forall @t13 (=> @t226 (and @t68 @t60)))) % 4.43/4.65 (assume @p150 (forall @t45 (=> @t135 @t44))) % 4.43/4.65 (assume @p151 (forall @t13 (=> @t68 (and (tptp.function @t168) (tptp.quasi_total @t168 @t258 @t57) (tptp.relation_of2_as_subset @t168 @t258 @t57))))) % 4.43/4.65 (assume @p152 (forall @t13 (=> @t117 (tptp.element @t144 @t146)))) % 4.43/4.65 (assume @p153 (forall @t13 (=> @t60 (and (tptp.function @t136) (tptp.quasi_total @t136 @t258 @t57) (tptp.relation_of2_as_subset @t136 @t258 @t57))))) % 4.43/4.65 (assume @p154 (exists @t13 @t68)) % 4.43/4.65 (assume @p155 (exists @t13 @t117)) % 4.43/4.65 (assume @p156 (exists @t13 @t157)) % 4.43/4.65 (assume @p157 (exists @t13 @t60)) % 4.43/4.65 (assume @p158 (exists @t13 @t226)) % 4.43/4.65 (assume @p159 (forall @t6 (exists @t106 @t151))) % 4.43/4.65 (assume @p160 (forall @t13 (exists @t11 @t10))) % 4.43/4.65 (assume @p161 (forall @t6 (exists @t106 @t135))) % 4.43/4.65 (assume @p162 (forall @t6 (=> @t48 @t259))) % 4.43/4.65 (assume @p163 (forall @t6 (=> @t261 (and (tptp.empty @t260) (tptp.relation @t260))))) % 4.43/4.65 (assume @p164 (forall @t6 (=> @t33 @t259))) % 4.43/4.65 (assume @p165 (forall @t13 (=> @t22 (and (tptp.empty @t219) @t245)))) % 4.43/4.65 (assume @p166 (forall @t6 (=> @t33 (tptp.finite @t205)))) % 4.43/4.65 (assume @p167 (and @t264 @t263 @t262)) % 4.43/4.65 (assume @p168 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t101)))) % 4.43/4.65 (assume @p169 (forall @t6 (=> @t266 (and @t256 (tptp.relation_empty_yielding @t94))))) % 4.43/4.65 (assume @p170 (forall @t13 (and @t267 (tptp.finite @t142)))) % 4.43/4.65 (assume @p171 (forall @t13 (and @t268 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 4.43/4.65 (assume @p172 (forall @t6 (=> (and @t40 @t36 @t84 @t125) (and @t246 (tptp.function @t228))))) % 4.43/4.65 (assume @p173 (forall @t13 @t269)) % 4.43/4.65 (assume @p174 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 4.43/4.65 (assume @p175 (forall @t13 (=> @t157 (and (tptp.empty @t171) (tptp.v1_membered @t171) (tptp.v2_membered @t171) (tptp.v3_membered @t171) (tptp.v4_membered @t171) (tptp.v5_membered @t171))))) % 4.43/4.65 (assume @p176 (forall @t6 (=> @t247 (tptp.relation @t66)))) % 4.43/4.65 (assume @p177 (forall @t13 (=> @t270 (not @t156)))) % 4.43/4.65 (assume @p178 (forall @t13 @t268)) % 4.43/4.65 (assume @p179 @t264) % 4.43/4.65 (assume @p180 (forall @t6 (not (tptp.empty @t212)))) % 4.43/4.65 (assume @p181 (forall @t6 (=> @t12 @t271))) % 4.43/4.65 (assume @p182 (forall @t6 (=> @t12 @t272))) % 4.43/4.65 (assume @p183 (forall @t6 (=> @t15 (and @t271 @t273)))) % 4.43/4.65 (assume @p184 (forall @t13 (=> (and @t32 @t46) (and @t269 @t276 @t275 @t274 (tptp.natural @t143))))) % 4.43/4.65 (assume @p185 (forall @t13 (and @t253 (tptp.function @t82)))) % 4.43/4.65 (assume @p186 (and @t263 @t262 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t264 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 4.43/4.65 (assume @p187 (forall @t6 (=> @t247 (tptp.relation @t55)))) % 4.43/4.65 (assume @p188 (forall @t13 @t267)) % 4.43/4.65 (assume @p189 @t279) % 4.43/4.65 (assume @p190 (forall @t6 (=> @t174 (not (tptp.empty @t55))))) % 4.43/4.65 (assume @p191 (forall @t6 (=> @t15 (and @t272 @t280)))) % 4.43/4.65 (assume @p192 (forall @t6 (=> @t17 (and @t271 @t273 @t281)))) % 4.43/4.65 (assume @p193 (forall @t6 (=> @t17 (and @t272 @t280 @t282)))) % 4.43/4.66 (assume @p194 (forall @t6 (=> @t19 (and @t271 @t273 @t281 @t283)))) % 4.43/4.66 (assume @p195 (forall @t6 (=> @t19 (and @t272 @t280 @t282 @t284)))) % 4.43/4.66 (assume @p196 (forall @t6 (=> @t21 (and @t271 @t273 @t281 @t283 (tptp.v5_membered @t66))))) % 4.43/4.66 (assume @p197 (forall @t6 (=> @t21 (and @t272 @t280 @t282 @t284 (tptp.v5_membered @t65))))) % 4.43/4.66 (assume @p198 (forall @t6 (=> @t12 @t285))) % 4.43/4.66 (assume @p199 (forall @t6 (=> @t15 (and @t285 @t286)))) % 4.43/4.66 (assume @p200 (forall @t6 (=> @t17 (and @t285 @t286 @t287)))) % 4.43/4.66 (assume @p201 (forall @t13 (=> @t50 (and @t245 (tptp.function @t219))))) % 4.43/4.66 (assume @p202 (forall @t13 (=> @t32 (and @t269 @t276 @t275 @t274)))) % 4.43/4.66 (assume @p203 (forall @t6 (=> @t247 (tptp.relation @t205)))) % 4.43/4.66 (assume @p204 (forall @t6 (not (tptp.empty @t53)))) % 4.43/4.66 (assume @p205 (forall @t6 (=> (and @t148 @t117 @t216 @t116) @t288))) % 4.43/4.66 (assume @p206 (forall @t6 (=> @t174 (not (tptp.empty @t54))))) % 4.43/4.66 (assume @p207 (forall @t6 (=> @t19 (and @t285 @t286 @t287 @t289)))) % 4.43/4.66 (assume @p208 (forall @t6 (=> @t21 (and @t285 @t286 @t287 @t289 (tptp.v5_membered @t205))))) % 4.43/4.66 (assume @p209 (forall @t6 (=> @t103 (and @t256 (tptp.function @t94))))) % 4.43/4.66 (assume @p210 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t196) (tptp.epsilon_connected @t196) (tptp.ordinal @t196))))) % 4.43/4.66 (assume @p211 (and @t264 @t263)) % 4.43/4.66 (assume @p212 (forall @t6 (=> (and @t174 @t240) (not (tptp.empty @t43))))) % 4.43/4.66 (assume @p213 (forall @t6 (=> (and @t148 @t117 @t210 @t116) @t290))) % 4.43/4.66 (assume @p214 (forall @t6 (=> @t291 (and @t257 (tptp.function @t105))))) % 4.43/4.66 (assume @p215 (forall @t13 (=> @t292 (tptp.closed_subset @t185 @t1)))) % 4.43/4.66 (assume @p216 (forall @t13 (=> @t294 (not @t293)))) % 4.43/4.66 (assume @p217 (and @t264 (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))) % 4.43/4.66 (assume @p218 (forall @t13 (=> @t294 (not @t295)))) % 4.43/4.66 (assume @p219 (forall @t13 (=> @t22 (and @t293 (tptp.relation @t97))))) % 4.43/4.66 (assume @p220 (forall @t13 (=> @t22 (and @t295 (tptp.relation @t207))))) % 4.43/4.66 (assume @p221 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 4.43/4.66 (assume @p222 (forall @t6 (=> @t261 (and (tptp.empty @t228) @t246)))) % 4.43/4.66 (assume @p223 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 4.43/4.66 (assume @p224 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 4.43/4.66 (assume @p225 (forall @t45 (=> @t73 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 4.43/4.66 (assume @p226 @t298) % 4.43/4.66 (assume @p227 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t219) @t1)))) % 4.43/4.66 (assume @p228 (forall @t6 (=> @t232 (= (tptp.complements_of_subsets @t1 @t230) @t2)))) % 4.43/4.66 (assume @p229 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 4.43/4.66 (assume @p230 (forall @t13 (=> @t40 (= @t197 (forall @t11 (=> @t299 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 4.43/4.66 (assume @p231 (forall @t13 (not (= @t142 tptp.empty_set)))) % 4.43/4.66 (assume @p232 (forall @t6 (=> @t5 (= (tptp.set_union2 @t142 @t2) @t2)))) % 4.43/4.66 (assume @p233 (forall @t6 (not (and @t300 @t5)))) % 4.43/4.66 (assume @p234 (forall @t6 (=> @t301 @t300))) % 4.43/4.66 (assume @p235 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_dom @t105) @t123)))) % 4.43/4.66 (assume @p236 (forall @t13 (=> @t40 (= @t120 (forall @t129 (=> (and @t128 @t172) @t126)))))) % 4.43/4.66 (assume @p237 (forall @t6 (= (tptp.subset @t142 @t2) @t5))) % 4.43/4.66 (assume @p238 (forall @t6 (=> @t84 (not (and @t302 (tptp.equipotent @t1 @t166) (forall @t106 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 4.43/4.66 (assume @p239 (forall @t6 (= (= @t205 tptp.empty_set) @t86))) % 4.43/4.66 (assume @p240 (forall @t6 (=> @t25 (forall @t106 (=> @t149 @t78))))) % 4.43/4.66 (assume @p241 (forall @t13 (=> @t40 (= @t108 (forall @t95 (=> (and @t128 @t303) @t139)))))) % 4.43/4.66 (assume @p242 (forall @t45 (=> @t86 (or @t78 (tptp.subset @t1 (tptp.set_difference @t2 @t304)))))) % 4.43/4.66 (assume @p243 (forall @t13 (=> @t270 (forall @t11 (=> @t116 (forall @t106 (=> @t58 (= (tptp.in @t41 @t158) @t182)))))))) % 4.43/4.66 (assume @p244 (forall @t13 (=> @t40 (= @t119 (forall @t95 (not (and @t299 (tptp.in @t41 @t107) @t183 @t305 (not @t303)))))))) % 4.43/4.66 (assume @p245 (forall @t6 (= (tptp.subset @t1 @t306) (or @t132 (= @t1 @t306))))) % 4.43/4.66 (assume @p246 (forall @t6 (=> @t5 (tptp.subset @t1 @t307)))) % 4.43/4.66 (assume @p247 (forall @t122 (= (tptp.in @t212 (tptp.cartesian_product2 @t41 @t76)) (and @t308 (tptp.in @t2 @t76))))) % 4.43/4.66 (assume @p248 (forall @t6 (=> @t186 @t309))) % 4.43/4.66 (assume @p249 (forall @t45 (=> @t223 (= @t311 (and (tptp.in @t2 @t200) @t3))))) % 4.43/4.66 (assume @p250 (exists @t13 (and @t174 @t38 @t37 @t32 @t46))) % 4.43/4.66 (assume @p251 (exists @t13 (and @t174 @t33))) % 4.43/4.66 (assume @p252 (exists @t13 @t103)) % 4.43/4.66 (assume @p253 (forall @t6 (exists @t106 (and @t151 @t42 @t203 @t131)))) % 4.43/4.66 (assume @p254 (exists @t13 (and @t174 @t12 @t15 @t17 @t19 @t21))) % 4.43/4.66 (assume @p255 (exists @t13 @t52)) % 4.43/4.66 (assume @p256 (exists @t13 (and @t38 @t37 @t32 @t209))) % 4.43/4.66 (assume @p257 (exists @t13 (and @t40 @t36 @t49 @t22))) % 4.43/4.66 (assume @p258 (exists @t13 (and @t22 @t40))) % 4.43/4.66 (assume @p259 (forall @t13 (=> @t174 (exists @t11 (and @t25 @t240))))) % 4.43/4.66 (assume @p260 (forall @t13 (=> @t292 (exists @t11 (and @t116 @t210))))) % 4.43/4.66 (assume @p261 (exists @t13 @t22)) % 4.43/4.66 (assume @p262 (forall @t13 (exists @t11 (and @t25 @t173 @t84 @t125 @t312 @t31 @t30 @t29 @t20 @t48)))) % 4.43/4.66 (assume @p263 (exists @t13 @t51)) % 4.43/4.66 (assume @p264 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 4.43/4.66 (assume @p265 (forall @t6 (exists @t106 (and @t151 @t42 @t203)))) % 4.43/4.66 (assume @p266 (exists @t13 @t294)) % 4.43/4.66 (assume @p267 (forall @t13 (exists @t11 (and @t25 @t173)))) % 4.43/4.66 (assume @p268 (exists @t13 @t174)) % 4.43/4.66 (assume @p269 (forall @t13 (=> @t174 (exists @t11 (and @t25 @t240 @t48))))) % 4.43/4.66 (assume @p270 (exists @t13 @t50)) % 4.43/4.66 (assume @p271 (exists @t13 (and @t174 @t38 @t37 @t32))) % 4.43/4.66 (assume @p272 (exists @t13 @t266)) % 4.43/4.66 (assume @p273 (exists @t13 (and @t157 @t63))) % 4.43/4.66 (assume @p274 (exists @t13 (and @t40 @t265 @t36))) % 4.43/4.66 (assume @p275 (forall @t13 (=> @t270 (exists @t11 (and @t116 @t240))))) % 4.43/4.66 (assume @p276 (forall @t13 (=> @t292 (exists @t11 (and @t116 @t216))))) % 4.43/4.66 (assume @p277 (forall @t242 (=> @t241 (= @t238 (tptp.apply_binary @t76 @t88 @t177))))) % 4.43/4.66 (assume @p278 (forall @t45 (=> @t64 (= @t56 @t137)))) % 4.43/4.66 (assume @p279 (forall @t45 (=> @t70 (= @t67 @t169)))) % 4.43/4.66 (assume @p280 (forall @t45 (=> @t151 (= @t134 @t200)))) % 4.43/4.66 (assume @p281 (forall @t45 (=> @t151 (= @t249 @t199)))) % 4.43/4.66 (assume @p282 (forall @t6 (=> @t232 (= @t250 @t307)))) % 4.43/4.66 (assume @p283 (forall @t45 (=> @t73 (= @t71 @t313)))) % 4.43/4.66 (assume @p284 (forall @t6 (=> @t232 (= @t254 (tptp.set_meet @t2))))) % 4.43/4.66 (assume @p285 (forall @t45 (=> @t73 (= @t255 @t314)))) % 4.43/4.66 (assume @p286 (forall @t45 (= @t135 @t151))) % 4.43/4.66 (assume @p287 (forall @t6 (=> @t75 (= @t74 @t86)))) % 4.43/4.66 (assume @p288 (forall @t6 (= @t204 (tptp.are_equipotent @t1 @t2)))) % 4.43/4.66 (assume @p289 (forall @t6 (=> @t75 (tptp.ordinal_subset @t1 @t1)))) % 4.43/4.66 (assume @p290 (forall @t6 (tptp.subset @t1 @t1))) % 4.43/4.66 (assume @p291 (forall @t6 (tptp.equipotent @t1 @t1))) % 4.43/4.66 (assume @p292 (forall @t6 (=> @t332 (=> @t331 (exists @t106 (and @t42 @t203 (forall @t93 (= @t92 (and @t154 @t154 (exists @t319 (and (= @t76 @t316) (tptp.in @t88 @t316) (forall @t318 (=> @t317 (tptp.in (tptp.ordered_pair @t88 @t315) @t2)))))))))))))) % 4.43/4.66 (assume @p293 (forall @t13 (=> @t335 (exists @t11 (and @t84 @t125 (forall @t81 (= @t80 (and @t78 @t78 (= @t76 @t304))))))))) % 4.43/4.66 (assume @p294 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t106 (=> @t336 (=> @t78 (tptp.ordinal_subset @t2 @t41))))))))) % 4.43/4.66 (assume @p295 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t360)) (not (and @t155 (forall @t11 (not (and @t3 (forall @t106 (=> (and @t78 @t359) (= @t41 @t2))))))))))) (forall @t100 (=> @t343 (=> @t358 (=> (tptp.in @t357 tptp.omega) (forall @t325 (=> (tptp.element @t322 (tptp.powerset (tptp.powerset @t357))) (not (and (not (= @t322 tptp.empty_set)) (forall @t324 (not (and @t323 (forall @t319 (=> (and (tptp.in @t316 @t322) (tptp.subset @t321 @t316)) (= @t316 @t321)))))))))))))) (forall @t100 (=> @t343 (=> (and (tptp.being_limit_ordinal @t76) (forall @t318 (=> (tptp.ordinal @t315) (=> (tptp.in @t315 @t76) (=> (tptp.in @t315 tptp.omega) (forall @t356 (=> (tptp.element @t352 (tptp.powerset (tptp.powerset @t315))) (not (and (not (= @t352 tptp.empty_set)) (forall @t355 (not (and @t354 (forall @t353 (=> (and (tptp.in @t351 @t352) (tptp.subset @t350 @t351)) (= @t351 @t350))))))))))))))) (or (= @t76 tptp.empty_set) (=> @t342 (forall @t349 (=> (tptp.element @t346 @t340) (not (and (not (= @t346 tptp.empty_set)) (forall @t348 (not (and (tptp.in @t344 @t346) (forall @t347 (=> (and (tptp.in @t345 @t346) (tptp.subset @t344 @t345)) (= @t345 @t344)))))))))))))))) (forall @t100 (=> @t343 (=> @t342 (forall @t341 (=> (tptp.element @t339 @t340) (not (and (not (= @t339 tptp.empty_set)) (forall (@list @t337) (not (and (tptp.in @t337 @t339) (forall (@list @t338) (=> (and (tptp.in @t338 @t339) (tptp.subset @t337 @t338)) (= @t338 @t337))))))))))))))) % 4.43/4.66 (assume @p296 (forall @t45 (=> @t364 (exists @t100 (and @t363 (forall @t180 (= (tptp.in @t178 @t76) (and @t104 @t362 (tptp.in (tptp.ordered_pair @t220 @t361) @t2))))))))) % 4.43/4.66 (assume @p297 (forall @t6 (=> @t332 (=> @t331 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t104 @t104 (exists @t319 (and (= @t88 @t316) @t366 @t365))))))))))) % 4.43/4.66 (assume @p298 (forall @t6 (=> @t332 (forall @t106 (=> (forall @t377 (=> (and @t320 (exists @t376 (and (= @t375 @t88) @t374 (exists @t324 (and (= @t327 @t321) (tptp.in @t322 @t321) (forall @t319 (=> @t373 (tptp.in (tptp.ordered_pair @t322 @t316) @t2))))))) @t372 (exists @t371 (and (= @t370 @t177) (tptp.in @t315 @t1) (exists @t355 (and (= @t315 @t350) (tptp.in @t352 @t350) (forall @t353 (=> (tptp.in @t351 @t350) (tptp.in (tptp.ordered_pair @t352 @t351) @t2)))))))) @t369)) (exists @t100 (forall @t98 (= @t121 (exists @t227 (and (tptp.in @t177 @t368) @t367 (exists (@list @t346 @t344) (and (= (tptp.ordered_pair @t346 @t344) @t88) (tptp.in @t346 @t1) (exists @t347 (and (= @t346 @t345) (tptp.in @t344 @t345) (forall @t341 (=> (tptp.in @t339 @t345) (tptp.in (tptp.ordered_pair @t344 @t339) @t2))))))))))))))))) % 4.43/4.66 (assume @p299 (forall @t13 (=> @t335 (exists @t11 (forall @t106 (= @t149 (exists @t100 (and @t154 @t154 (= @t41 (tptp.singleton @t76)))))))))) % 4.43/4.66 (assume @p300 (forall @t6 (=> (forall @t229 (=> (and @t77 (exists @t382 (and (= @t381 @t76) @t362 (= @t327 (tptp.singleton @t177)))) @t380 (exists (@list @t322 @t321) (and (= (tptp.ordered_pair @t322 @t321) @t88) @t379 (= @t321 (tptp.singleton @t322))))) @t320)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t43) @t378 (exists (@list @t316 @t315) (and (= (tptp.ordered_pair @t316 @t315) @t76) (tptp.in @t316 @t1) (= @t315 (tptp.singleton @t316)))))))))))) % 4.43/4.66 (assume @p301 (forall @t13 (=> @t32 (=> (forall @t129 (=> (and @t139 (exists @t98 (and @t385 @t380 (=> (tptp.in @t88 tptp.omega) (forall @t227 (=> (tptp.element @t177 (tptp.powerset (tptp.powerset @t88))) @t384))))) @t170 (exists @t324 (and (tptp.ordinal @t321) (= @t76 @t321) (=> (tptp.in @t321 tptp.omega) (forall @t319 (=> (tptp.element @t316 (tptp.powerset (tptp.powerset @t321))) (not (and (not (= @t316 tptp.empty_set)) (forall @t318 (not (and @t317 (forall @t356 (=> (and (tptp.in @t352 @t316) (tptp.subset @t315 @t352)) (= @t352 @t315)))))))))))))) @t77)) (exists @t11 (forall @t106 (= @t149 (exists @t100 (and (tptp.in @t76 @t143) @t383 (exists @t355 (and (tptp.ordinal @t350) (= @t41 @t350) (=> (tptp.in @t350 tptp.omega) (forall @t353 (=> (tptp.element @t351 (tptp.powerset (tptp.powerset @t350))) (not (and (not (= @t351 tptp.empty_set)) (forall @t349 (not (and (tptp.in @t346 @t351) (forall @t348 (=> (and (tptp.in @t344 @t351) (tptp.subset @t346 @t344)) (= @t344 @t346)))))))))))))))))))))) % 4.43/4.66 (assume @p302 (forall @t6 (=> @t278 (=> (forall @t229 (=> (and @t77 (exists @t227 (and (tptp.element @t177 @t112) (= @t177 @t76) (tptp.closed_subset @t177 @t1) @t386)) @t380 (exists @t329 (and (tptp.element @t327 @t112) (= @t327 @t88) (tptp.closed_subset @t327 @t1) (tptp.subset @t2 @t88)))) @t320)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t387 @t378 (exists @t325 (and (tptp.element @t322 @t112) (= @t322 @t76) (tptp.closed_subset @t322 @t1) @t386))))))))))) % 4.43/4.66 (assume @p303 (forall @t6 (=> @t389 (=> (forall @t229 (=> (and @t77 @t388 @t380 (tptp.in (tptp.set_difference @t185 @t88) @t2)) @t320)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t387 @t378 @t388))))))))) % 4.43/4.66 (assume @p304 (forall @t6 (=> @t390 (=> (forall @t229 (=> (and @t77 (exists @t227 (and @t179 (= @t76 (tptp.set_difference @t177 @t142)))) @t380 (exists @t329 (and (tptp.in @t327 @t2) (= @t88 (tptp.set_difference @t327 @t142))))) @t320)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t24) @t378 (exists @t325 (and (tptp.in @t322 @t2) (= @t76 (tptp.set_difference @t322 @t142))))))))))))) % 4.43/4.66 (assume @p305 (forall @t45 (=> @t364 (=> (forall @t377 (=> (and @t320 (exists @t376 (and (= @t88 @t375) (tptp.in (tptp.ordered_pair @t392 (tptp.apply @t41 @t322)) @t2))) @t372 (exists (@list @t321 @t316) (and (= @t177 (tptp.ordered_pair @t321 @t316)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t321) (tptp.apply @t41 @t316)) @t2)))) @t369)) (exists @t100 (forall @t98 (= @t121 (exists @t227 (and (tptp.in @t177 @t391) @t367 (exists @t371 (and (= @t88 @t370) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t315) (tptp.apply @t41 @t352)) @t2)))))))))))) % 4.43/4.66 (assume @p306 (forall @t13 (=> (forall @t129 (=> (and @t139 @t336 @t170 @t343) @t77)) (exists @t11 (forall @t106 (= @t149 (exists @t100 (and @t154 @t383 @t336)))))))) % 4.43/4.66 (assume @p307 (forall @t45 (=> @t395 (=> (forall @t377 (=> (and @t320 @t393 @t372 (tptp.in (tptp.relation_image @t41 @t177) @t2)) @t369)) (exists @t100 (forall @t98 (= @t121 (exists @t227 (and (tptp.in @t177 @t394) @t367 @t393))))))))) % 4.43/4.66 (assume @p308 (forall @t6 (=> @t29 (=> (forall @t229 (=> (and @t77 (exists @t227 (and (tptp.ordinal @t177) @t372 @t362)) @t380 (exists @t329 (and (tptp.ordinal @t327) (= @t88 @t327) @t374))) @t320)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t396) @t378 (exists @t325 (and (tptp.ordinal @t322) (= @t76 @t322) @t379))))))))))) % 4.43/4.66 (assume @p309 (forall @t6 (=> @t332 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t368) (exists @t382 (and (= @t381 @t88) @t362 (exists @t325 (and (= @t177 @t322) (tptp.in @t327 @t322) (forall @t324 (=> @t323 (tptp.in (tptp.ordered_pair @t327 @t321) @t2))))))))))))))) % 4.43/4.66 (assume @p310 (forall @t6 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t43) (exists @t180 (and (= @t178 @t76) @t104 (= @t177 (tptp.singleton @t88)))))))))) % 4.43/4.66 (assume @p311 (forall @t13 (=> @t32 (exists @t11 (forall @t106 (= @t149 (and (tptp.in @t41 @t143) (exists @t100 (and @t343 @t77 @t358))))))))) % 4.43/4.66 (assume @p312 (forall @t6 (=> @t278 (exists @t106 (forall @t100 (= @t99 (and @t398 @t397))))))) % 4.43/4.66 (assume @p313 (forall @t6 (=> @t389 (exists @t106 (forall @t100 (= @t99 (and @t398 @t388))))))) % 4.43/4.66 (assume @p314 (forall @t6 (=> @t390 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t24) (exists @t98 (and @t96 (= @t76 (tptp.set_difference @t88 @t142))))))))))) % 4.43/4.66 (assume @p315 (forall @t45 (=> @t364 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t391) (exists @t382 (and (= @t88 @t381) (tptp.in (tptp.ordered_pair @t361 @t392) @t2)))))))))) % 4.43/4.66 (assume @p316 (forall @t13 (exists @t11 (forall @t106 (= @t149 (and @t78 @t336)))))) % 4.43/4.66 (assume @p317 (forall @t45 (=> @t395 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t394) @t393))))))) % 4.43/4.66 (assume @p318 (forall @t6 (=> @t29 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t396) (exists @t98 (and @t385 @t320 @t104))))))))) % 4.43/4.66 (assume @p319 (forall @t6 (=> @t332 (=> (and (forall @t229 (=> (and @t78 @t330 @t326) @t320)) (forall @t106 (not (and @t78 (forall @t100 (not (exists @t319 (and (= @t41 @t316) @t366 @t365)))))))) (exists @t106 (and @t42 @t203 @t201 (forall @t100 (=> @t154 (exists @t356 (and (= @t76 @t352) (tptp.in @t221 @t352) (forall @t355 (=> @t354 (tptp.in (tptp.ordered_pair @t221 @t350) @t2))))))))))))) % 4.43/4.66 (assume @p320 (forall @t13 (=> (and (forall @t129 (=> (and @t3 @t334 @t333) @t77)) (forall @t11 (not (and @t3 (forall @t106 (not @t334)))))) @t401))) % 4.43/4.66 (assume @p321 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t106 (=> (tptp.element @t41 (tptp.powerset @t248)) (not (and @t187 (forall @t100 (not (and @t99 (forall @t98 (=> (and (tptp.in @t88 @t41) (tptp.subset @t76 @t88)) @t378))))))))))))) (=> @t402 (forall @t227 (=> (tptp.element @t177 @t231) @t384)))))) (forall @t13 (=> @t32 (=> @t402 (forall @t324 (=> (tptp.element @t321 @t231) (not (and (not (= @t321 tptp.empty_set)) (forall @t319 (not (and @t373 (forall @t318 (=> (and (tptp.in @t315 @t321) (tptp.subset @t316 @t315)) (= @t315 @t316))))))))))))))) % 4.43/4.66 (assume @p322 (forall @t13 @t401)) % 4.43/4.66 (assume @p323 (forall @t6 (=> @t278 (exists @t106 (and @t404 (forall @t100 (=> @t403 (= @t99 @t397)))))))) % 4.43/4.66 (assume @p324 (forall @t6 (=> @t389 (exists @t106 (and @t404 (forall @t100 (=> @t403 (= @t99 @t388)))))))) % 4.43/4.66 (assume @p325 (forall @t6 (=> @t224 (tptp.disjoint @t2 @t1)))) % 4.43/4.66 (assume @p326 (forall @t6 (=> @t204 (tptp.equipotent @t2 @t1)))) % 4.43/4.66 (assume @p327 (forall @t13 (tptp.in @t1 @t143))) % 4.43/4.66 (assume @p328 (forall @t122 (not (and (= @t53 (tptp.unordered_pair @t41 @t76)) (not @t405) (not (= @t1 @t76)))))) % 4.43/4.66 (assume @p329 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t199)))))) % 4.43/4.66 (assume @p330 (forall @t6 (=> @t84 (tptp.subset @t406 @t1)))) % 4.43/4.66 (assume @p331 (forall @t6 (=> @t84 (tptp.subset @t105 @t2)))) % 4.43/4.66 (assume @p332 (forall @t6 (=> @t84 (tptp.subset @t406 @t124)))) % 4.43/4.66 (assume @p333 (forall @t45 (=> @t86 (and (tptp.subset @t368 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 4.43/4.66 (assume @p334 (forall @t6 (=> @t84 (= @t406 (tptp.set_intersection2 @t124 @t1))))) % 4.43/4.66 (assume @p335 (forall @t122 (=> (and @t86 @t165) (tptp.subset @t368 (tptp.cartesian_product2 @t2 @t76))))) % 4.43/4.66 (assume @p336 (forall @t45 (=> @t135 (and (tptp.subset @t200 @t1) (tptp.subset @t199 @t2))))) % 4.43/4.66 (assume @p337 (forall @t6 (=> @t86 (= @t55 @t2)))) % 4.43/4.66 (assume @p338 (forall @t13 (exists @t11 (and @t5 @t409 (forall @t106 (=> @t149 (tptp.in @t408 @t2))) @t407)))) % 4.43/4.66 (assume @p339 (forall @t6 (=> (and @t86 @t48) @t33))) % 4.43/4.66 (assume @p340 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t410))))) % 4.43/4.66 (assume @p341 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t100 (and (tptp.in @t76 @t200) (tptp.in (tptp.ordered_pair @t76 @t1) @t41) @t91)))))) % 4.43/4.66 (assume @p342 (forall @t6 (=> @t84 (tptp.subset @t411 @t124)))) % 4.43/4.66 (assume @p343 (forall @t6 (=> @t291 (tptp.subset @t413 @t1)))) % 4.43/4.66 (assume @p344 (forall @t6 (=> @t84 (= @t411 (tptp.relation_image @t2 @t414))))) % 4.43/4.66 (assume @p345 (forall @t6 (=> @t84 (=> (tptp.subset @t1 @t123) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t411)))))) % 4.43/4.66 (assume @p346 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t97) @t207)))) % 4.43/4.66 (assume @p347 (forall @t6 (=> @t291 (=> @t415 (= @t413 @t1))))) % 4.43/4.66 (assume @p348 (forall @t122 (=> @t418 (=> (tptp.subset @t417 @t2) @t416)))) % 4.43/4.66 (assume @p349 (forall @t13 (=> @t157 (forall @t11 (=> @t116 (= (tptp.subset_intersection2 @t57 @t2 @t185) @t2)))))) % 4.43/4.66 (assume @p350 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t419 (tptp.relation_image @t2 @t207))))))) % 4.43/4.66 (assume @p351 (forall @t45 (=> @t42 (= (tptp.in @t1 @t420) (exists @t100 (and (tptp.in @t76 @t199) (tptp.in (tptp.ordered_pair @t1 @t76) @t41) @t91)))))) % 4.43/4.66 (assume @p352 (forall @t6 (=> @t84 (tptp.subset @t412 @t123)))) % 4.43/4.66 (assume @p353 (forall @t122 (=> @t418 (=> @t86 @t416)))) % 4.43/4.66 (assume @p354 (forall @t45 (=> @t42 (= (tptp.in @t1 @t421) (and @t308 (tptp.in @t1 @t217)))))) % 4.43/4.66 (assume @p355 (forall @t6 (=> @t84 (not (and @t155 @t415 (= @t412 tptp.empty_set)))))) % 4.43/4.66 (assume @p356 (forall @t45 (=> @t42 (=> @t86 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t420))))) % 4.43/4.66 (assume @p357 (forall @t6 (=> @t291 (=> @t33 (tptp.finite @t411))))) % 4.43/4.66 (assume @p358 (forall @t13 (=> @t157 (forall @t11 (=> @t116 (= @t158 @t215)))))) % 4.43/4.66 (assume @p359 (forall @t6 (=> @t84 (= @t422 (tptp.relation_dom_restriction @t105 @t1))))) % 4.43/4.66 (assume @p360 (forall @t6 (tptp.subset @t66 @t1))) % 4.43/4.66 (assume @p361 (forall @t13 (=> @t33 (forall @t11 (=> @t232 (not (and @t175 (forall @t106 (not (and @t149 (forall @t100 (=> (and @t91 @t165) @t383)))))))))))) % 4.43/4.66 (assume @p362 (forall @t6 (=> @t84 (= @t422 (tptp.relation_rng_restriction @t1 @t423))))) % 4.43/4.66 (assume @p363 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t421)) (and @t425 @t5))))) % 4.43/4.66 (assume @p364 (forall @t45 (=> (and @t86 @t426) (tptp.subset @t1 @t313)))) % 4.43/4.66 (assume @p365 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 4.43/4.66 (assume @p366 (forall @t6 (=> @t5 @t427))) % 4.43/4.66 (assume @p367 (forall @t45 (=> (and @t86 @t359) @t426))) % 4.43/4.66 (assume @p368 (= @t360 (tptp.singleton tptp.empty_set))) % 4.43/4.66 (assume @p369 (forall @t45 (=> @t42 (=> @t429 (and @t428 (tptp.in @t2 @t199)))))) % 4.43/4.66 (assume @p370 (forall @t6 (=> @t84 (and (tptp.subset @t430 @t166) (tptp.subset @t430 @t1))))) % 4.43/4.66 (assume @p371 (forall @t6 (=> @t291 (forall @t106 (=> @t223 (= @t433 (and @t428 (tptp.in @t431 @t123)))))))) % 4.43/4.66 (assume @p372 (forall @t122 (=> @t435 (forall @t98 (=> (and (tptp.relation @t88) (tptp.function @t88)) (=> @t78 (or @t133 (= (tptp.apply (tptp.relation_composition @t76 @t88) @t41) (tptp.apply @t88 @t434))))))))) % 4.43/4.66 (assume @p373 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 4.43/4.66 (assume @p374 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t97 @t207))))) % 4.43/4.66 (assume @p375 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 4.43/4.66 (assume @p376 (forall @t6 (=> @t291 (forall @t106 (=> @t223 (=> @t433 (= (tptp.apply @t432 @t1) (tptp.apply @t2 @t431)))))))) % 4.43/4.66 (assume @p377 (forall @t13 (=> @t157 (forall @t11 (=> @t116 (= (tptp.subset_difference @t57 @t185 @t215) @t2)))))) % 4.43/4.66 (assume @p378 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t100 (not (and @t91 (forall @t98 (not @t92))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 4.43/4.66 (assume @p379 (forall @t6 (=> @t84 (=> @t436 (tptp.reflexive @t422))))) % 4.43/4.66 (assume @p380 (forall @t6 (=> @t291 (forall @t106 (=> @t223 (=> (tptp.in @t1 @t123) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 4.43/4.66 (assume @p381 (forall @t13 (=> (and @t63 @t69 @t225 @t226) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (tptp.below @t1 @t67 @t2)))))))) % 4.43/4.66 (assume @p382 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 4.43/4.66 (assume @p383 (forall @t45 (=> @t135 (= (forall @t100 (not (and @t91 (forall @t98 (not (tptp.in @t118 @t41)))))) (= @t249 @t2))))) % 4.43/4.66 (assume @p384 (forall @t6 (=> @t84 (=> @t437 (tptp.connected @t422))))) % 4.43/4.66 (assume @p385 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t301 @t233 @t4))))))) % 4.43/4.66 (assume @p386 (forall @t6 (=> @t84 (=> @t438 (tptp.transitive @t422))))) % 4.43/4.66 (assume @p387 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> @t86 (and (tptp.subset @t97 @t123) (tptp.subset @t207 @t124)))))))) % 4.43/4.66 (assume @p388 (forall @t6 (=> @t84 (=> @t439 (tptp.antisymmetric @t422))))) % 4.43/4.66 (assume @p389 (forall @t6 (=> @t84 (=> @t442 (and @t441 @t440))))) % 4.43/4.66 (assume @p390 (forall @t13 (=> @t103 (=> (tptp.finite @t97) (tptp.finite @t207))))) % 4.43/4.66 (assume @p391 (forall @t13 (=> (and @t63 @t61 @t60) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t181 (tptp.below @t1 @t41 @t2)) @t139)))))))) % 4.43/4.66 (assume @p392 (forall @t13 (exists @t11 (and @t84 @t442)))) % 4.43/4.66 (assume @p393 (forall @t45 (=> @t86 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t313)))) % 4.43/4.66 (assume @p394 (forall @t13 (=> @t174 (not (and (forall @t11 (not (and @t3 @t133))) (forall @t11 (=> @t291 (not (and @t400 (forall @t106 (=> @t78 (tptp.in @t399 @t41)))))))))))) % 4.43/4.66 (assume @p395 (forall @t6 (=> @t86 (= @t66 @t1)))) % 4.43/4.66 (assume @p396 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t216 @t288)))))) % 4.43/4.66 (assume @p397 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 4.43/4.66 (assume @p398 (forall @t6 (=> @t427 (or @t173 @t5)))) % 4.43/4.66 (assume @p399 (forall @t6 (=> (forall @t106 (= @t78 @t149)) @t87))) % 4.43/4.66 (assume @p400 (forall @t13 (tptp.reflexive @t167))) % 4.43/4.66 (assume @p401 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 4.43/4.66 (assume @p402 (forall @t45 (=> @t42 (=> @t429 (and @t425 (tptp.in @t2 @t424)))))) % 4.43/4.66 (assume @p403 @t446) % 4.43/4.66 (assume @p404 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t85))) @t32))) % 4.43/4.66 (assume @p405 (forall @t6 (=> @t84 (=> @t447 (tptp.well_founded_relation @t422))))) % 4.43/4.66 (assume @p406 (forall @t6 (=> @t29 (not (and @t86 @t155 (forall @t106 (=> @t336 (not (and @t78 (forall @t100 (=> @t343 (=> @t154 (tptp.ordinal_subset @t41 @t76))))))))))))) % 4.43/4.66 (assume @p407 (forall @t6 (=> @t84 (=> @t302 @t440)))) % 4.43/4.66 (assume @p408 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t143 @t2))))))) % 4.43/4.66 (assume @p409 (forall @t45 (=> @t86 (tptp.subset (tptp.set_difference @t1 @t41) @t314)))) % 4.43/4.66 (assume @p410 (forall @t122 (=> (= @t212 @t79) (and @t405 @t170)))) % 4.43/4.66 (assume @p411 (forall @t6 (=> @t291 (= @t83 (and @t400 (forall @t106 (=> @t78 (= @t399 @t41)))))))) % 4.43/4.66 (assume @p412 (forall @t6 (=> @t3 (= (tptp.apply @t82 @t2) @t2)))) % 4.43/4.66 (assume @p413 (forall @t6 (tptp.subset @t205 @t1))) % 4.43/4.66 (assume @p414 (forall @t13 (=> @t40 (and (= @t207 (tptp.relation_dom @t219)) (= @t97 (tptp.relation_rng @t219)))))) % 4.43/4.66 (assume @p415 (forall @t45 (= (tptp.subset @t53 @t41) (and @t308 @t184)))) % 4.43/4.66 (assume @p416 (forall @t6 (=> @t84 (=> (and @t302 (tptp.subset @t1 @t166)) @t441)))) % 4.43/4.66 (assume @p417 (forall @t6 (= @t448 @t55))) % 4.43/4.66 (assume @p418 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 4.43/4.66 (assume @p419 (forall @t45 (not (and @t5 @t184 @t78)))) % 4.43/4.66 (assume @p420 (forall @t6 (= @t309 @t86))) % 4.43/4.66 (assume @p421 (forall @t13 (tptp.transitive @t167))) % 4.43/4.66 (assume @p422 (forall @t6 (and (not (and @t450 (forall @t106 (not @t449)))) (not (and (exists @t106 @t449) @t224))))) % 4.43/4.66 (assume @p423 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t132))) % 4.43/4.66 (assume @p424 (forall @t6 (= (tptp.set_difference @t55 @t2) @t205))) % 4.43/4.66 (assume @p425 (forall @t13 (=> @t32 (= @t209 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t396 @t1)))))))) % 4.43/4.66 (assume @p426 (forall @t13 (=> @t32 (and (not (and (not @t209) (forall @t11 (=> @t29 (not @t451))))) (not (and (exists @t11 (and @t29 @t451)) @t209)))))) % 4.43/4.66 (assume @p427 (forall @t6 (=> @t25 (forall @t106 (=> @t72 (= @t453 (tptp.subset @t2 @t452))))))) % 4.43/4.66 (assume @p428 (forall @t13 (=> @t292 (forall @t11 (=> @t147 (=> (forall @t106 (=> @t115 (=> @t149 (tptp.closed_subset @t41 @t1)))) (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1))))))) % 4.43/4.66 (assume @p429 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t454 @t97)))))) % 4.43/4.66 (assume @p430 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t159 @t2)))))) % 4.43/4.66 (assume @p431 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t114) (forall @t100 (=> @t403 (=> @t455 @t153))))))))))) % 4.43/4.66 (assume @p432 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t419 @t124)))))) % 4.43/4.66 (assume @p433 (forall @t6 (=> @t86 (= @t2 @t448)))) % 4.43/4.66 (assume @p434 (forall @t122 (=> @t435 (=> @t175 (forall @t98 (= (tptp.in @t88 (tptp.relation_inverse_image @t76 @t41)) (and @t104 (tptp.in (tptp.apply @t76 @t88) @t41)))))))) % 4.43/4.66 (assume @p435 (forall @t13 (=> @t292 (forall @t11 (=> @t116 (exists @t106 (and @t404 (forall @t100 (=> @t403 (= @t99 @t455))) (= @t114 (tptp.meet_of_subsets @t57 @t41))))))))) % 4.43/4.66 (assume @p436 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t207 @t123) (= @t454 @t97))))))) % 4.43/4.66 (assume @p437 (forall @t6 (=> @t232 (not (and @t175 (= @t230 tptp.empty_set)))))) % 4.43/4.66 (assume @p438 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t97 @t124) (= (tptp.relation_rng @t260) @t207))))))) % 4.43/4.66 (assume @p439 (forall @t6 (=> @t232 (=> @t175 (= (tptp.subset_difference @t1 @t195 @t250) (tptp.meet_of_subsets @t1 @t230)))))) % 4.43/4.66 (assume @p440 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t2 @t114)))))) % 4.43/4.66 (assume @p441 (forall @t6 (=> @t232 (=> @t175 (= (tptp.union_of_subsets @t1 @t230) (tptp.subset_difference @t1 @t195 @t254)))))) % 4.43/4.66 (assume @p442 (forall @t6 (= (tptp.set_difference @t1 @t205) @t66))) % 4.43/4.66 (assume @p443 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t223 (=> @t222 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 4.43/4.66 (assume @p444 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 4.43/4.66 (assume @p445 (forall @t45 (=> (and @t5 @t456) (tptp.element @t1 @t41)))) % 4.43/4.66 (assume @p446 (forall @t13 (=> @t32 (tptp.connected @t167)))) % 4.43/4.66 (assume @p447 (forall @t6 (and (not (and @t450 (forall @t106 (not @t457)))) (not (and (exists @t106 @t457) @t224))))) % 4.43/4.66 (assume @p448 (forall @t13 (=> @t155 (forall @t11 (=> @t25 (forall @t106 (=> (tptp.element @t41 @t1) (=> @t182 (tptp.in @t41 @t211))))))))) % 4.43/4.66 (assume @p449 @t462) % 4.43/4.66 (assume @p450 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (and (=> @t216 @t463) (=> (and @t148 @t463) @t216))))))) % 4.43/4.66 (assume @p451 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t223 (=> @t222 (and (=> @t197 @t436) (=> @t120 @t438) (=> @t119 @t437) (=> @t108 @t439) (=> @t176 @t447)))))))))) % 4.43/4.66 (assume @p452 (forall @t13 (=> @t103 (=> @t49 (forall @t11 (=> @t291 (= (= @t2 @t234) (and (= @t123 @t207) (forall @t81 (and (=> @t464 @t206) (=> @t206 @t464))))))))))) % 4.43/4.66 (assume @p453 (forall @t45 (=> @t72 (not (and (tptp.in @t2 @t452) @t184))))) % 4.43/4.66 (assume @p454 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t223 (=> (and @t198 @t222) @t302)))))))) % 4.43/4.66 (assume @p455 (forall @t13 (=> @t103 (=> @t49 (and (= @t207 (tptp.relation_dom @t234)) (= @t97 (tptp.relation_rng @t234))))))) % 4.43/4.66 (assume @p456 (forall @t13 (=> @t40 (=> (forall @t95 @t305) @t132)))) % 4.43/4.66 (assume @p457 (forall @t6 (=> @t291 (=> (and @t312 (tptp.in @t1 @t124)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t465 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t465 @t2) @t1))))))) % 4.43/4.66 (assume @p458 (forall @t45 (not (and @t5 @t456 (tptp.empty @t41))))) % 4.43/4.66 (assume @p459 (forall @t13 (=> @t40 (= @t176 (tptp.is_well_founded_in @t1 @t107))))) % 4.43/4.66 (assume @p460 (forall @t13 (tptp.antisymmetric @t167))) % 4.43/4.66 (assume @p461 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 4.43/4.66 (assume @p462 (forall @t6 (not (and @t86 @t7)))) % 4.43/4.66 (assume @p463 (forall @t13 (=> @t103 (=> @t49 (tptp.one_to_one @t234))))) % 4.43/4.66 (assume @p464 (forall @t45 (=> (and @t86 @t453) (tptp.disjoint @t1 @t41)))) % 4.43/4.66 (assume @p465 (forall @t13 (=> @t40 (=> (or @t467 @t466) @t132)))) % 4.43/4.66 (assume @p466 (forall @t13 (=> @t40 (= @t467 @t466)))) % 4.43/4.66 (assume @p467 (forall @t6 (= (= (tptp.set_difference @t1 @t306) @t1) @t4))) % 4.43/4.66 (assume @p468 (forall @t6 (=> @t291 (forall @t106 (=> @t223 (= (= @t2 @t310) (and (= @t123 (tptp.set_intersection2 @t200 @t1)) (forall @t100 (=> (tptp.in @t76 @t123) (= (tptp.apply @t2 @t76) @t221)))))))))) % 4.43/4.66 (assume @p469 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t142))) % 4.43/4.66 (assume @p470 (forall @t13 (=> @t22 @t132))) % 4.43/4.66 (assume @p471 (forall @t122 (=> @t435 (=> @t78 (or @t133 (tptp.in @t434 @t417)))))) % 4.43/4.66 (assume @p472 (forall @t13 (=> @t32 (tptp.well_founded_relation @t167)))) % 4.43/4.66 (assume @p473 (forall @t6 (=> (tptp.subset @t142 @t306) @t87))) % 4.43/4.66 (assume @p474 (forall @t45 (=> @t223 (=> @t311 @t468)))) % 4.43/4.66 (assume @p475 (forall @t13 (and (= (tptp.relation_dom @t82) @t1) (= (tptp.relation_rng @t82) @t1)))) % 4.43/4.66 (assume @p476 (forall @t45 (=> @t223 (=> @t3 @t468)))) % 4.43/4.66 (assume @p477 (forall @t122 (=> @t363 (= (tptp.in @t212 (tptp.relation_composition (tptp.identity_relation @t41) @t76)) (and @t308 (tptp.in @t212 @t76)))))) % 4.43/4.66 (assume @p478 (forall @t6 (not (and @t5 @t173)))) % 4.43/4.66 (assume @p479 (forall @t6 (and (= (tptp.pair_first @t212) @t1) (= (tptp.pair_second @t212) @t2)))) % 4.43/4.66 (assume @p480 (forall @t6 (not (and @t5 (forall @t106 (not (and @t149 (forall @t100 (not (and @t91 @t99)))))))))) % 4.43/4.66 (assume @p481 (forall @t13 (=> @t32 (tptp.well_ordering @t167)))) % 4.43/4.66 (assume @p482 (forall @t6 (tptp.subset @t1 @t55))) % 4.43/4.66 (assume @p483 (forall @t6 (= @t224 (= @t205 @t1)))) % 4.43/4.66 (assume @p484 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t410)) (and @t5 @t428))))) % 4.43/4.66 (assume @p485 (forall @t6 (=> @t84 (tptp.subset @t423 @t2)))) % 4.43/4.66 (assume @p486 (forall @t6 (not (and @t22 @t233 @t173)))) % 4.43/4.66 (assume @p487 (forall @t45 (=> @t223 (= @t429 (and @t428 (= @t2 @t431)))))) % 4.43/4.66 (assume @p488 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t107) @t198)))) % 4.43/4.66 (assume @p489 (forall @t45 (=> (and @t86 @t188) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 4.43/4.66 (assume @p490 (forall @t45 (=> @t469 @t87))) % 4.43/4.66 (assume @p491 (forall @t6 (=> @t84 (= (tptp.relation_dom @t423) @t414)))) % 4.43/4.66 (assume @p492 (forall @t6 (=> @t84 (= @t423 (tptp.relation_composition @t82 @t2))))) % 4.43/4.66 (assume @p493 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_rng @t423) @t124)))) % 4.43/4.66 (assume @p494 (forall @t13 (= (tptp.union @t24) @t1))) % 4.43/4.66 (assume @p495 (forall @t122 (=> @t435 (=> @t359 (or (and @t133 @t155) (and @t239 (tptp.quasi_total @t76 @t1 @t41) (tptp.relation_of2_as_subset @t76 @t1 @t41))))))) % 4.43/4.66 (assume @p496 (forall @t13 (exists @t11 (and @t5 @t409 (forall @t106 (not (and @t149 (forall @t100 (not (and @t91 (forall @t98 (=> (tptp.subset @t88 @t41) @t121)))))))) @t407)))) % 4.43/4.66 (assume @p497 (forall @t45 (=> @t469 @t139))) % 4.43/4.66 (step @p498 :rule evaluate :args ((= false true))) % 4.43/4.66 (step @p499 :rule aci_norm :args ((= (or @t473 @t277) (or @t472 @t471 @t470 @t277)))) % 4.43/4.66 (step @p500 :rule refl :args (@t277)) % 4.43/4.66 (step @p501 :rule aci_norm :args ((= (or @t472 @t474) @t473))) % 4.43/4.66 (step @p502 :rule bool-and-de-morgan :args (@t117 @t116 true)) % 4.43/4.66 (step @p503 :rule refl :args (@t472)) % 4.43/4.66 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or @t472 @t475))) % 4.43/4.66 (step @p505 :rule bool-and-de-morgan :args (@t148 @t117 (and @t116))) % 4.43/4.66 (step @p506 :rule trans :premises (@p505 @p504)) % 4.43/4.66 (step @p507 :rule trans :premises (@p506 @p501)) % 4.43/4.66 (step @p508 :rule nary_cong :premises (@p507 @p500) :args ((or (not @t278) @t277))) % 4.43/4.66 (step @p509 :rule trans :premises (@p508 @p499)) % 4.43/4.66 (step @p510 :rule bool-impl-elim :args (@t278 @t277)) % 4.43/4.66 (step @p511 :rule trans :premises (@p510 @p509)) % 4.43/4.66 (step @p512 :rule cong :premises (@p511) :args (@t279)) % 4.43/4.66 (step @p513 :rule eq_resolve :premises (@p189 @p512)) % 4.43/4.66 (step @p514 :rule instantiate :premises (@p513) :args (@t486)) % 4.43/4.66 (step @p515 :rule bool-impl-elim :args (@t25 @t243)) % 4.43/4.66 (step @p516 :rule cong :premises (@p515) :args (@t244)) % 4.43/4.66 (step @p517 :rule eq_resolve :premises (@p131 @p516)) % 4.43/4.66 (step @p518 :rule instantiate :premises (@p517) :args ((@list @t484 @t482))) % 4.43/4.66 (step @p519 :rule aci_norm :args ((= @t488 @t479))) % 4.43/4.66 (step @p520 :rule cong :premises (@p519) :args (@t489)) % 4.43/4.66 (step @p521 :rule quant-merge-prenex :args ((= (forall @t13 @t491) @t489))) % 4.43/4.66 (step @p522 :rule alpha_equiv :args (@t492 (@list @t476) @t493)) % 4.43/4.66 (step @p523 :rule refl :args (@t471)) % 4.43/4.66 (step @p524 :rule nary_cong :premises (@p503 @p523 @p522) :args (@t494)) % 4.43/4.66 (step @p525 :rule quant-miniscope-or :args ((= @t491 @t494))) % 4.43/4.66 (step @p526 :rule trans :premises (@p525 @p524)) % 4.43/4.66 (step @p527 :rule symm :premises (@p526)) % 4.43/4.66 (step @p528 :rule cong :premises (@p527) :args ((forall @t13 @t496))) % 4.43/4.66 (step @p529 :rule trans :premises (@p528 @p521)) % 4.43/4.66 (step @p530 :rule trans :premises (@p529 @p520)) % 4.43/4.66 (step @p531 :rule aci_norm :args ((= (or (or @t472 @t471) @t495) @t496))) % 4.43/4.66 (step @p532 :rule refl :args (@t495)) % 4.43/4.66 (step @p533 :rule bool-and-de-morgan :args (@t148 @t117 true)) % 4.43/4.66 (step @p534 :rule nary_cong :premises (@p533 @p532) :args ((or (not @t292) @t495))) % 4.43/4.66 (step @p535 :rule trans :premises (@p534 @p531)) % 4.43/4.66 (step @p536 :rule bool-impl-elim :args (@t292 @t495)) % 4.43/4.66 (step @p537 :rule trans :premises (@p536 @p535)) % 4.43/4.66 (step @p538 :rule cong :premises (@p537) :args ((forall @t13 (=> @t292 @t495)))) % 4.43/4.66 (step @p539 :rule trans :premises (@p538 @p530)) % 4.43/4.66 (step @p540 :rule bool-impl-elim :args (@t116 @t458)) % 4.43/4.66 (step @p541 :rule cong :premises (@p540) :args (@t459)) % 4.43/4.66 (step @p542 :rule refl :args (@t292)) % 4.43/4.66 (step @p543 :rule cong :premises (@p542 @p541) :args (@t460)) % 4.43/4.66 (step @p544 :rule cong :premises (@p543) :args (@t461)) % 4.43/4.66 (step @p545 :rule trans :premises (@p544 @p539)) % 4.43/4.66 (step @p546 :rule cong :premises (@p545) :args (@t462)) % 4.43/4.66 (step @p547 :rule eq_resolve :premises (@p449 @p546)) % 4.43/4.66 (step @p548 :rule skolemize :premises (@p547)) % 4.43/4.66 (step @p549 :rule bool-double-not-elim :args (@t498)) % 4.43/4.66 (step @p550 :rule refl :args (@t506)) % 4.43/4.66 (step @p551 :rule nary_cong :premises (@p550 @p549) :args ((or @t506 (not @t501)))) % 4.43/4.66 (step @p552 :rule cnf_or_neg :args (@t506 2)) % 4.43/4.66 (step @p553 :rule eq_resolve :premises (@p552 @p551)) % 4.43/4.66 (step @p554 :rule reordering :premises (@p553) :args ((or @t498 @t506))) % 4.43/4.66 (step @p555 :rule chain_m_resolution :premises (@p554 @p548) :args (@t498 @t507 @t508)) % 4.43/4.66 (step @p556 :rule cnf_or_pos :args (@t510)) % 4.43/4.66 (step @p557 :rule reordering :premises (@p556) :args ((or @t501 @t509 (not @t510)))) % 4.43/4.66 (step @p558 :rule chain_m_resolution :premises (@p557 @p555 @p518) :args (@t509 @t511 (@list @t498 @t510))) % 4.43/4.66 (step @p559 :rule bool-double-not-elim :args (@t502)) % 4.43/4.66 (step @p560 :rule nary_cong :premises (@p550 @p559) :args ((or @t506 (not @t503)))) % 4.43/4.66 (step @p561 :rule cnf_or_neg :args (@t506 1)) % 4.43/4.66 (step @p562 :rule eq_resolve :premises (@p561 @p560)) % 4.43/4.66 (step @p563 :rule reordering :premises (@p562) :args ((or @t502 @t506))) % 4.43/4.66 (step @p564 :rule chain_m_resolution :premises (@p563 @p548) :args (@t502 @t507 @t508)) % 4.43/4.66 (step @p565 :rule bool-double-not-elim :args (@t504)) % 4.43/4.66 (step @p566 :rule nary_cong :premises (@p550 @p565) :args ((or @t506 (not @t505)))) % 4.43/4.66 (step @p567 :rule cnf_or_neg :args (@t506 0)) % 4.43/4.66 (step @p568 :rule eq_resolve :premises (@p567 @p566)) % 4.43/4.66 (step @p569 :rule reordering :premises (@p568) :args ((or @t504 @t506))) % 4.43/4.66 (step @p570 :rule chain_m_resolution :premises (@p569 @p548) :args (@t504 @t507 @t508)) % 4.43/4.66 (step @p571 :rule cnf_or_pos :args (@t515)) % 4.43/4.66 (step @p572 :rule reordering :premises (@p571) :args ((or @t505 @t503 @t514 @t513 (not @t515)))) % 4.43/4.66 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p564 @p558 @p514) :args (@t513 (@list false false false false) (@list @t504 @t502 @t509 @t515))) % 4.43/4.66 (step @p574 :rule true_intro :premises (@p573)) % 4.43/4.66 (step @p575 :rule refl :args (@t483)) % 4.43/4.66 (step @p576 :rule bool-impl-elim :args (@t25 @t516)) % 4.43/4.66 (step @p577 :rule cong :premises (@p576) :args ((forall @t6 (=> @t25 @t516)))) % 4.43/4.66 (step @p578 :rule eq-symm :args (@t296 @t2)) % 4.43/4.66 (step @p579 :rule refl :args (@t25)) % 4.43/4.66 (step @p580 :rule cong :premises (@p579 @p578) :args (@t297)) % 4.43/4.66 (step @p581 :rule cong :premises (@p580) :args (@t298)) % 4.43/4.66 (step @p582 :rule trans :premises (@p581 @p577)) % 4.43/4.66 (step @p583 :rule eq_resolve :premises (@p226 @p582)) % 4.43/4.66 (step @p584 :rule instantiate :premises (@p583) :args ((@list @t484 @t512))) % 4.43/4.66 (step @p585 :rule aci_norm :args ((= (or @t474 @t251) (or @t471 @t470 @t251)))) % 4.43/4.66 (step @p586 :rule refl :args (@t251)) % 4.43/4.66 (step @p587 :rule nary_cong :premises (@p502 @p586) :args ((or @t475 @t251))) % 4.43/4.66 (step @p588 :rule trans :premises (@p587 @p585)) % 4.43/4.66 (step @p589 :rule bool-impl-elim :args (@t236 @t251)) % 4.43/4.66 (step @p590 :rule trans :premises (@p589 @p588)) % 4.43/4.66 (step @p591 :rule cong :premises (@p590) :args (@t252)) % 4.43/4.66 (step @p592 :rule eq_resolve :premises (@p139 @p591)) % 4.43/4.66 (step @p593 :rule instantiate :premises (@p592) :args (@t486)) % 4.43/4.66 (step @p594 :rule cnf_or_pos :args (@t518)) % 4.43/4.66 (step @p595 :rule reordering :premises (@p594) :args ((or @t503 @t514 @t517 (not @t518)))) % 4.43/4.66 (step @p596 :rule chain_m_resolution :premises (@p595 @p564 @p558 @p593) :args (@t517 @t519 (@list @t502 @t509 @t518))) % 4.43/4.66 (step @p597 :rule cnf_or_pos :args (@t523)) % 4.43/4.66 (step @p598 :rule reordering :premises (@p597) :args ((or @t522 @t521 (not @t523)))) % 4.43/4.66 (step @p599 :rule chain_m_resolution :premises (@p598 @p596 @p584) :args (@t521 @t511 (@list @t517 @t523))) % 4.43/4.66 (step @p600 :rule symm :premises (@p599)) % 4.43/4.66 (step @p601 :rule aci_norm :args ((= @t528 (or @t471 @t526 @t525)))) % 4.43/4.66 (step @p602 :rule cong :premises (@p601) :args (@t529)) % 4.43/4.66 (step @p603 :rule quant-merge-prenex :args ((= (forall @t13 @t531) @t529))) % 4.43/4.66 (step @p604 :rule alpha_equiv :args (@t532 (@list @t524) @t493)) % 4.43/4.66 (step @p605 :rule nary_cong :premises (@p523 @p604) :args (@t533)) % 4.43/4.66 (step @p606 :rule quant-miniscope-or :args ((= @t531 @t533))) % 4.43/4.66 (step @p607 :rule trans :premises (@p606 @p605)) % 4.43/4.66 (step @p608 :rule symm :premises (@p607)) % 4.43/4.66 (step @p609 :rule cong :premises (@p608) :args ((forall @t13 (or @t471 @t534)))) % 4.43/4.66 (step @p610 :rule trans :premises (@p609 @p603)) % 4.43/4.66 (step @p611 :rule trans :premises (@p610 @p602)) % 4.43/4.66 (step @p612 :rule bool-impl-elim :args (@t117 @t534)) % 4.43/4.66 (step @p613 :rule cong :premises (@p612) :args ((forall @t13 (=> @t117 @t534)))) % 4.43/4.66 (step @p614 :rule trans :premises (@p613 @p611)) % 4.43/4.66 (step @p615 :rule bool-impl-elim :args (@t116 @t160)) % 4.43/4.66 (step @p616 :rule cong :premises (@p615) :args (@t161)) % 4.43/4.66 (step @p617 :rule refl :args (@t117)) % 4.43/4.66 (step @p618 :rule cong :premises (@p617 @p616) :args (@t162)) % 4.43/4.66 (step @p619 :rule cong :premises (@p618) :args (@t163)) % 4.43/4.66 (step @p620 :rule trans :premises (@p619 @p614)) % 4.43/4.66 (step @p621 :rule eq_resolve :premises (@p65 @p620)) % 4.43/4.66 (step @p622 :rule instantiate :premises (@p621) :args (@t535)) % 4.43/4.66 (step @p623 :rule cnf_or_pos :args (@t537)) % 4.43/4.66 (step @p624 :rule reordering :premises (@p623) :args ((or @t503 @t501 @t536 (not @t537)))) % 4.43/4.66 (step @p625 :rule chain_m_resolution :premises (@p624 @p564 @p555 @p622) :args (@t536 @t519 (@list @t502 @t498 @t537))) % 4.43/4.66 (step @p626 :rule refl :args (@t484)) % 4.43/4.66 (step @p627 :rule cong :premises (@p626 @p625) :args (@t538)) % 4.43/4.66 (step @p628 :rule trans :premises (@p627 @p600)) % 4.43/4.66 (step @p629 :rule cong :premises (@p628 @p575) :args (@t539)) % 4.43/4.66 (step @p630 :rule aci_norm :args ((= @t544 (or @t471 @t542 @t541)))) % 4.43/4.66 (step @p631 :rule cong :premises (@p630) :args (@t545)) % 4.43/4.66 (step @p632 :rule quant-merge-prenex :args ((= (forall @t13 @t547) @t545))) % 4.43/4.66 (step @p633 :rule alpha_equiv :args (@t548 (@list @t540) @t493)) % 4.43/4.66 (step @p634 :rule nary_cong :premises (@p523 @p633) :args (@t549)) % 4.43/4.66 (step @p635 :rule quant-miniscope-or :args ((= @t547 @t549))) % 4.43/4.66 (step @p636 :rule trans :premises (@p635 @p634)) % 4.43/4.66 (step @p637 :rule symm :premises (@p636)) % 4.43/4.66 (step @p638 :rule cong :premises (@p637) :args ((forall @t13 (or @t471 @t550)))) % 4.43/4.66 (step @p639 :rule trans :premises (@p638 @p632)) % 4.43/4.66 (step @p640 :rule trans :premises (@p639 @p631)) % 4.43/4.66 (step @p641 :rule bool-impl-elim :args (@t117 @t550)) % 4.43/4.66 (step @p642 :rule cong :premises (@p641) :args ((forall @t13 (=> @t117 @t550)))) % 4.43/4.66 (step @p643 :rule trans :premises (@p642 @p640)) % 4.43/4.66 (step @p644 :rule bool-impl-elim :args (@t116 @t443)) % 4.43/4.68 (step @p645 :rule cong :premises (@p644) :args (@t444)) % 4.43/4.68 (step @p646 :rule cong :premises (@p617 @p645) :args (@t445)) % 4.43/4.68 (step @p647 :rule cong :premises (@p646) :args (@t446)) % 4.43/4.68 (step @p648 :rule trans :premises (@p647 @p643)) % 4.43/4.68 (step @p649 :rule eq_resolve :premises (@p403 @p648)) % 4.43/4.68 (step @p650 :rule instantiate :premises (@p649) :args ((@list @t483 @t499))) % 4.43/4.68 (step @p651 :rule aci_norm :args ((= (or @t474 @t235) (or @t471 @t470 @t235)))) % 4.43/4.68 (step @p652 :rule refl :args (@t235)) % 4.43/4.68 (step @p653 :rule nary_cong :premises (@p502 @p652) :args ((or @t475 @t235))) % 4.43/4.68 (step @p654 :rule trans :premises (@p653 @p651)) % 4.43/4.68 (step @p655 :rule bool-impl-elim :args (@t236 @t235)) % 4.43/4.68 (step @p656 :rule trans :premises (@p655 @p654)) % 4.43/4.68 (step @p657 :rule cong :premises (@p656) :args (@t237)) % 4.43/4.68 (step @p658 :rule eq_resolve :premises (@p122 @p657)) % 4.43/4.68 (step @p659 :rule instantiate :premises (@p658) :args (@t535)) % 4.43/4.68 (step @p660 :rule cnf_or_pos :args (@t552)) % 4.43/4.68 (step @p661 :rule reordering :premises (@p660) :args ((or @t503 @t501 @t551 (not @t552)))) % 4.43/4.68 (step @p662 :rule chain_m_resolution :premises (@p661 @p564 @p555 @p659) :args (@t551 @t519 (@list @t502 @t498 @t552))) % 4.43/4.68 (step @p663 :rule cnf_or_pos :args (@t555)) % 4.43/4.68 (step @p664 :rule reordering :premises (@p663) :args ((or @t503 @t554 @t553 (not @t555)))) % 4.43/4.68 (step @p665 :rule chain_m_resolution :premises (@p664 @p564 @p662 @p650) :args (@t553 @t519 (@list @t502 @t551 @t555))) % 4.43/4.68 (step @p666 :rule cnf_or_neg :args (@t506 3)) % 4.43/4.68 (step @p667 :rule chain_m_resolution :premises (@p666 @p548) :args ((not @t500) @t507 @t508)) % 4.43/4.68 (step @p668 :rule cnf_equiv_pos2 :args (@t553)) % 4.43/4.68 (step @p669 :rule reordering :premises (@p668) :args ((or @t500 @t556 (not @t553)))) % 4.43/4.68 (step @p670 :rule chain_m_resolution :premises (@p669 @p667 @p665) :args (@t556 (@list true false) (@list @t500 @t553))) % 4.43/4.68 (step @p671 :rule false_intro :premises (@p670)) % 4.43/4.68 (step @p672 :rule symm :premises (@p671)) % 4.43/4.68 (step @p673 :rule trans :premises (@p672 @p629 @p574)) % 4.43/4.68 (step @p674 false :rule eq_resolve :premises (@p673 @p498)) % 4.43/4.68 ) % 4.43/4.68 % SZS output end Proof % 4.43/4.68 % cvc5 exiting %------------------------------------------------------------------------------