%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU321+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:22 AM UTC 2026 % Result : Theorem 5.22s 5.48s % Output : Proof 0.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU321+2 : TPTP v9.2.1. Released v3.3.0. % 0.14/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:58:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.38/0.64 %----Proving TF0_NAR, FOF, or CNF % 5.22/5.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.22/5.48 % SZS status Theorem % 5.22/5.48 % SZS output start Proof % 5.22/5.48 ( % 5.22/5.48 (declare-sort $$unsorted 0) % 5.22/5.48 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.function (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.finite (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.connected (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.empty_set $$unsorted) % 5.22/5.48 (declare-const tptp.empty (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.natural (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.relation (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.transitive (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.omega $$unsorted) % 5.22/5.48 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 5.22/5.48 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 5.22/5.48 (declare-const tptp.top_str (-> $$unsorted Bool)) % 5.22/5.48 (define @t1 () (@var "A" $$unsorted)) % 5.22/5.48 (define @t2 () (@var "B" $$unsorted)) % 5.22/5.48 (define @t3 () (tptp.in @t2 @t1)) % 5.22/5.48 (define @t4 () (not @t3)) % 5.22/5.48 (define @t5 () (tptp.in @t1 @t2)) % 5.22/5.48 (define @t6 () (@list @t1 @t2)) % 5.22/5.48 (define @t7 () (tptp.proper_subset @t2 @t1)) % 5.22/5.48 (define @t8 () (tptp.proper_subset @t1 @t2)) % 5.22/5.48 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 5.22/5.48 (define @t10 () (tptp.element @t2 @t1)) % 5.22/5.48 (define @t11 () (@list @t2)) % 5.22/5.48 (define @t12 () (tptp.v1_membered @t1)) % 5.22/5.48 (define @t13 () (@list @t1)) % 5.22/5.48 (define @t14 () (tptp.v1_xreal_0 @t2)) % 5.22/5.48 (define @t15 () (tptp.v2_membered @t1)) % 5.22/5.48 (define @t16 () (tptp.v1_rat_1 @t2)) % 5.22/5.48 (define @t17 () (tptp.v3_membered @t1)) % 5.22/5.48 (define @t18 () (tptp.v1_int_1 @t2)) % 5.22/5.48 (define @t19 () (tptp.v4_membered @t1)) % 5.22/5.48 (define @t20 () (tptp.natural @t2)) % 5.22/5.48 (define @t21 () (tptp.v5_membered @t1)) % 5.22/5.48 (define @t22 () (tptp.empty @t1)) % 5.22/5.48 (define @t23 () (tptp.v1_membered @t2)) % 5.22/5.48 (define @t24 () (tptp.powerset @t1)) % 5.22/5.48 (define @t25 () (tptp.element @t2 @t24)) % 5.22/5.48 (define @t26 () (tptp.v2_membered @t2)) % 5.22/5.48 (define @t27 () (tptp.v3_membered @t2)) % 5.22/5.48 (define @t28 () (tptp.v4_membered @t2)) % 5.22/5.48 (define @t29 () (tptp.ordinal @t2)) % 5.22/5.48 (define @t30 () (tptp.epsilon_connected @t2)) % 5.22/5.48 (define @t31 () (tptp.epsilon_transitive @t2)) % 5.22/5.48 (define @t32 () (tptp.ordinal @t1)) % 5.22/5.48 (define @t33 () (tptp.finite @t1)) % 5.22/5.48 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 5.22/5.48 (define @t35 () (tptp.preboolean @t1)) % 5.22/5.48 (define @t36 () (tptp.function @t1)) % 5.22/5.48 (define @t37 () (tptp.epsilon_connected @t1)) % 5.22/5.48 (define @t38 () (tptp.epsilon_transitive @t1)) % 5.22/5.48 (define @t39 () (and @t38 @t37)) % 5.22/5.48 (define @t40 () (tptp.relation @t1)) % 5.22/5.48 (define @t41 () (@var "C" $$unsorted)) % 5.22/5.48 (define @t42 () (tptp.relation @t41)) % 5.22/5.48 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 5.22/5.48 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 5.22/5.48 (define @t45 () (@list @t1 @t2 @t41)) % 5.22/5.48 (define @t46 () (tptp.natural @t1)) % 5.22/5.48 (define @t47 () (and @t38 @t37 @t32 @t46)) % 5.22/5.48 (define @t48 () (tptp.finite @t2)) % 5.22/5.48 (define @t49 () (tptp.one_to_one @t1)) % 5.22/5.48 (define @t50 () (and @t40 @t36 @t49)) % 5.22/5.48 (define @t51 () (and @t40 @t22 @t36)) % 5.22/5.48 (define @t52 () (and @t38 @t37 @t32)) % 5.22/5.48 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 5.22/5.48 (define @t54 () (tptp.set_union2 @t2 @t1)) % 5.22/5.48 (define @t55 () (tptp.set_union2 @t1 @t2)) % 5.22/5.48 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 5.22/5.48 (define @t57 () (tptp.the_carrier @t1)) % 5.22/5.48 (define @t58 () (tptp.element @t41 @t57)) % 5.22/5.48 (define @t59 () (tptp.element @t2 @t57)) % 5.22/5.48 (define @t60 () (tptp.join_semilatt_str @t1)) % 5.22/5.48 (define @t61 () (tptp.join_commutative @t1)) % 5.22/5.48 (define @t62 () (tptp.empty_carrier @t1)) % 5.22/5.48 (define @t63 () (not @t62)) % 5.22/5.48 (define @t64 () (and @t63 @t61 @t60 @t59 @t58)) % 5.22/5.48 (define @t65 () (tptp.set_intersection2 @t2 @t1)) % 5.22/5.48 (define @t66 () (tptp.set_intersection2 @t1 @t2)) % 5.22/5.48 (define @t67 () (tptp.meet_commut @t1 @t2 @t41)) % 5.22/5.48 (define @t68 () (tptp.meet_semilatt_str @t1)) % 5.22/5.48 (define @t69 () (tptp.meet_commutative @t1)) % 5.22/5.48 (define @t70 () (and @t63 @t69 @t68 @t59 @t58)) % 5.22/5.48 (define @t71 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 5.22/5.48 (define @t72 () (tptp.element @t41 @t24)) % 5.22/5.48 (define @t73 () (and @t25 @t72)) % 5.22/5.48 (define @t74 () (tptp.ordinal_subset @t1 @t2)) % 5.22/5.48 (define @t75 () (and @t32 @t29)) % 5.22/5.48 (define @t76 () (@var "D" $$unsorted)) % 5.22/5.48 (define @t77 () (= @t41 @t76)) % 5.22/5.48 (define @t78 () (tptp.in @t41 @t1)) % 5.22/5.48 (define @t79 () (tptp.ordered_pair @t41 @t76)) % 5.22/5.48 (define @t80 () (tptp.in @t79 @t2)) % 5.22/5.48 (define @t81 () (@list @t41 @t76)) % 5.22/5.48 (define @t82 () (tptp.identity_relation @t1)) % 5.22/5.48 (define @t83 () (= @t2 @t82)) % 5.22/5.48 (define @t84 () (tptp.relation @t2)) % 5.22/5.48 (define @t85 () (tptp.subset @t2 @t1)) % 5.22/5.48 (define @t86 () (tptp.subset @t1 @t2)) % 5.22/5.48 (define @t87 () (= @t1 @t2)) % 5.22/5.48 (define @t88 () (@var "E" $$unsorted)) % 5.22/5.48 (define @t89 () (tptp.ordered_pair @t76 @t88)) % 5.22/5.48 (define @t90 () (tptp.in @t89 @t1)) % 5.22/5.48 (define @t91 () (tptp.in @t76 @t2)) % 5.22/5.48 (define @t92 () (tptp.in @t89 @t41)) % 5.22/5.48 (define @t93 () (@list @t76 @t88)) % 5.22/5.48 (define @t94 () (tptp.relation_dom_restriction @t1 @t2)) % 5.22/5.48 (define @t95 () (@list @t2 @t41)) % 5.22/5.48 (define @t96 () (tptp.in @t88 @t2)) % 5.22/5.48 (define @t97 () (tptp.relation_dom @t1)) % 5.22/5.48 (define @t98 () (@list @t88)) % 5.22/5.48 (define @t99 () (tptp.in @t76 @t41)) % 5.22/5.48 (define @t100 () (@list @t76)) % 5.22/5.48 (define @t101 () (tptp.relation_image @t1 @t2)) % 5.22/5.48 (define @t102 () (= @t41 @t101)) % 5.22/5.48 (define @t103 () (and @t40 @t36)) % 5.22/5.48 (define @t104 () (tptp.in @t88 @t1)) % 5.22/5.48 (define @t105 () (tptp.relation_rng_restriction @t1 @t2)) % 5.22/5.48 (define @t106 () (@list @t41)) % 5.22/5.48 (define @t107 () (tptp.relation_field @t1)) % 5.22/5.48 (define @t108 () (tptp.antisymmetric @t1)) % 5.22/5.48 (define @t109 () (tptp.apply @t1 @t76)) % 5.22/5.48 (define @t110 () (tptp.in @t76 @t97)) % 5.22/5.48 (define @t111 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 5.22/5.48 (define @t112 () (tptp.powerset @t57)) % 5.22/5.48 (define @t113 () (tptp.element @t88 @t112)) % 5.22/5.48 (define @t114 () (tptp.topstr_closure @t1 @t2)) % 5.22/5.48 (define @t115 () (tptp.element @t41 @t112)) % 5.22/5.48 (define @t116 () (tptp.element @t2 @t112)) % 5.22/5.48 (define @t117 () (tptp.top_str @t1)) % 5.22/5.48 (define @t118 () (tptp.ordered_pair @t88 @t76)) % 5.22/5.48 (define @t119 () (tptp.connected @t1)) % 5.22/5.48 (define @t120 () (tptp.transitive @t1)) % 5.22/5.48 (define @t121 () (tptp.in @t88 @t76)) % 5.22/5.48 (define @t122 () (@list @t1 @t2 @t41 @t76)) % 5.22/5.48 (define @t123 () (tptp.relation_dom @t2)) % 5.22/5.48 (define @t124 () (tptp.relation_rng @t2)) % 5.22/5.48 (define @t125 () (tptp.function @t2)) % 5.22/5.48 (define @t126 () (tptp.in (tptp.ordered_pair @t2 @t76) @t1)) % 5.22/5.48 (define @t127 () (tptp.ordered_pair @t2 @t41)) % 5.22/5.48 (define @t128 () (tptp.in @t127 @t1)) % 5.22/5.48 (define @t129 () (@list @t2 @t41 @t76)) % 5.22/5.48 (define @t130 () (= @t41 tptp.empty_set)) % 5.22/5.48 (define @t131 () (tptp.quasi_total @t41 @t1 @t2)) % 5.22/5.48 (define @t132 () (= @t1 tptp.empty_set)) % 5.22/5.48 (define @t133 () (= @t2 tptp.empty_set)) % 5.22/5.48 (define @t134 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 5.22/5.48 (define @t135 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 5.22/5.48 (define @t136 () (tptp.the_L_join @t1)) % 5.22/5.48 (define @t137 () (tptp.join @t1 @t2 @t41)) % 5.22/5.48 (define @t138 () (and @t63 @t60)) % 5.22/5.48 (define @t139 () (= @t2 @t41)) % 5.22/5.48 (define @t140 () (= @t1 @t79)) % 5.22/5.48 (define @t141 () (exists @t95 (= @t1 @t127))) % 5.22/5.48 (define @t142 () (tptp.singleton @t1)) % 5.22/5.48 (define @t143 () (tptp.succ @t1)) % 5.22/5.48 (define @t144 () (tptp.the_topology @t1)) % 5.22/5.48 (define @t145 () (tptp.in @t2 @t144)) % 5.22/5.48 (define @t146 () (tptp.powerset @t112)) % 5.22/5.48 (define @t147 () (tptp.element @t2 @t146)) % 5.22/5.48 (define @t148 () (tptp.topological_space @t1)) % 5.22/5.48 (define @t149 () (tptp.in @t41 @t2)) % 5.22/5.48 (define @t150 () (tptp.is_reflexive_in @t1 @t2)) % 5.22/5.48 (define @t151 () (tptp.relation_of2 @t41 @t1 @t2)) % 5.22/5.48 (define @t152 () (= @t2 (tptp.set_meet @t1))) % 5.22/5.48 (define @t153 () (tptp.in @t41 @t76)) % 5.22/5.48 (define @t154 () (tptp.in @t76 @t1)) % 5.22/5.48 (define @t155 () (not @t132)) % 5.22/5.48 (define @t156 () (= @t76 @t2)) % 5.22/5.48 (define @t157 () (tptp.subset @t41 @t76)) % 5.22/5.48 (define @t158 () (tptp.relation_field @t2)) % 5.22/5.48 (define @t159 () (tptp.inclusion_relation @t1)) % 5.22/5.48 (define @t160 () (tptp.the_L_meet @t1)) % 5.22/5.48 (define @t161 () (tptp.meet @t1 @t2 @t41)) % 5.22/5.48 (define @t162 () (= @t2 @t76)) % 5.22/5.48 (define @t163 () (tptp.empty_carrier_subset @t1)) % 5.22/5.48 (define @t164 () (tptp.one_sorted_str @t1)) % 5.22/5.48 (define @t165 () (tptp.in @t79 @t1)) % 5.22/5.48 (define @t166 () (tptp.empty @t2)) % 5.22/5.48 (define @t167 () (not @t22)) % 5.22/5.48 (define @t168 () (not @t133)) % 5.22/5.48 (define @t169 () (tptp.well_founded_relation @t1)) % 5.22/5.48 (define @t170 () (@var "F" $$unsorted)) % 5.22/5.48 (define @t171 () (tptp.ordered_pair @t88 @t170)) % 5.22/5.48 (define @t172 () (tptp.in @t170 @t2)) % 5.22/5.48 (define @t173 () (@list @t88 @t170)) % 5.22/5.48 (define @t174 () (tptp.below @t1 @t2 @t41)) % 5.22/5.48 (define @t175 () (not @t149)) % 5.22/5.48 (define @t176 () (not @t139)) % 5.22/5.48 (define @t177 () (tptp.in @t2 @t41)) % 5.22/5.48 (define @t178 () (not @t177)) % 5.22/5.48 (define @t179 () (tptp.cast_as_carrier_subset @t1)) % 5.22/5.48 (define @t180 () (forall @t106 (=> @t78 @t149))) % 5.22/5.48 (define @t181 () (not @t130)) % 5.22/5.48 (define @t182 () (tptp.subset @t41 @t2)) % 5.22/5.48 (define @t183 () (tptp.is_well_founded_in @t1 @t2)) % 5.22/5.48 (define @t184 () (tptp.apply @t1 @t2)) % 5.22/5.48 (define @t185 () (= @t41 @t184)) % 5.22/5.48 (define @t186 () (tptp.in @t2 @t97)) % 5.22/5.48 (define @t187 () (tptp.in (tptp.ordered_pair @t76 @t41) @t1)) % 5.22/5.48 (define @t188 () (tptp.is_antisymmetric_in @t1 @t2)) % 5.22/5.48 (define @t189 () (tptp.cast_to_subset @t1)) % 5.22/5.48 (define @t190 () (tptp.union @t1)) % 5.22/5.48 (define @t191 () (tptp.reflexive @t1)) % 5.22/5.48 (define @t192 () (tptp.well_ordering @t1)) % 5.22/5.48 (define @t193 () (tptp.relation_rng @t41)) % 5.22/5.48 (define @t194 () (tptp.relation_dom @t41)) % 5.22/5.48 (define @t195 () (= @t194 @t1)) % 5.22/5.48 (define @t196 () (tptp.one_to_one @t41)) % 5.22/5.48 (define @t197 () (tptp.function @t41)) % 5.22/5.48 (define @t198 () (tptp.equipotent @t1 @t2)) % 5.22/5.48 (define @t199 () (tptp.set_difference @t1 @t2)) % 5.22/5.48 (define @t200 () (and @t110 (= @t41 @t109))) % 5.22/5.48 (define @t201 () (tptp.relation_rng @t1)) % 5.22/5.48 (define @t202 () (= @t2 @t201)) % 5.22/5.48 (define @t203 () (tptp.being_limit_ordinal @t1)) % 5.22/5.48 (define @t204 () (tptp.open_subset @t2 @t1)) % 5.22/5.48 (define @t205 () (tptp.subset_complement @t1 @t2)) % 5.22/5.48 (define @t206 () (tptp.ordered_pair @t1 @t2)) % 5.22/5.48 (define @t207 () (tptp.is_connected_in @t1 @t2)) % 5.22/5.48 (define @t208 () (tptp.is_transitive_in @t1 @t2)) % 5.22/5.48 (define @t209 () (tptp.subset_difference @t57 @t179 @t2)) % 5.22/5.48 (define @t210 () (tptp.closed_subset @t2 @t1)) % 5.22/5.48 (define @t211 () (tptp.cartesian_product2 @t2 @t2)) % 5.22/5.48 (define @t212 () (tptp.relation_restriction @t1 @t2)) % 5.22/5.48 (define @t213 () (tptp.relation_inverse @t1)) % 5.22/5.48 (define @t214 () (tptp.apply @t41 @t88)) % 5.22/5.48 (define @t215 () (tptp.apply @t41 @t76)) % 5.22/5.48 (define @t216 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 5.22/5.48 (define @t217 () (and @t42 @t197)) % 5.22/5.48 (define @t218 () (tptp.disjoint @t1 @t2)) % 5.22/5.48 (define @t219 () (tptp.meet_absorbing @t1)) % 5.22/5.48 (define @t220 () (tptp.latt_str @t1)) % 5.22/5.48 (define @t221 () (@list @t170)) % 5.22/5.48 (define @t222 () (tptp.relation_composition @t1 @t2)) % 5.22/5.48 (define @t223 () (@list @t41 @t76 @t88)) % 5.22/5.48 (define @t224 () (tptp.complements_of_subsets @t1 @t2)) % 5.22/5.48 (define @t225 () (tptp.powerset @t24)) % 5.22/5.48 (define @t226 () (tptp.element @t2 @t225)) % 5.22/5.48 (define @t227 () (not @t87)) % 5.22/5.48 (define @t228 () (tptp.function_inverse @t1)) % 5.22/5.48 (define @t229 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t76 @t88 @t170)) % 5.22/5.48 (define @t230 () (tptp.function @t76)) % 5.22/5.48 (define @t231 () (not @t166)) % 5.22/5.48 (define @t232 () (and @t167 @t231 @t230 (tptp.quasi_total @t76 @t43 @t41) (tptp.relation_of2 @t76 @t43 @t41) (tptp.element @t88 @t1) (tptp.element @t170 @t2))) % 5.22/5.48 (define @t233 () (@list @t1 @t2 @t41 @t76 @t88 @t170)) % 5.22/5.48 (define @t234 () (tptp.relation @t213)) % 5.22/5.48 (define @t235 () (tptp.relation @t222)) % 5.22/5.49 (define @t236 () (and @t40 @t84)) % 5.22/5.49 (define @t237 () (tptp.powerset @t2)) % 5.22/5.49 (define @t238 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 5.22/5.49 (define @t239 () (tptp.union_of_subsets @t1 @t2)) % 5.22/5.49 (define @t240 () (tptp.relation @t82)) % 5.22/5.49 (define @t241 () (tptp.meet_of_subsets @t1 @t2)) % 5.22/5.49 (define @t242 () (tptp.subset_difference @t1 @t2 @t41)) % 5.22/5.49 (define @t243 () (tptp.relation @t94)) % 5.22/5.49 (define @t244 () (tptp.relation @t105)) % 5.22/5.49 (define @t245 () (tptp.cartesian_product2 @t57 @t57)) % 5.22/5.49 (define @t246 () (tptp.finite @t66)) % 5.22/5.49 (define @t247 () (tptp.relation_composition @t2 @t1)) % 5.22/5.49 (define @t248 () (and @t22 @t84)) % 5.22/5.49 (define @t249 () (tptp.relation_empty_yielding tptp.empty_set)) % 5.22/5.49 (define @t250 () (tptp.relation tptp.empty_set)) % 5.22/5.49 (define @t251 () (tptp.empty tptp.empty_set)) % 5.22/5.49 (define @t252 () (tptp.relation_empty_yielding @t1)) % 5.22/5.49 (define @t253 () (and @t40 @t252)) % 5.22/5.49 (define @t254 () (not (tptp.empty @t142))) % 5.22/5.49 (define @t255 () (not (tptp.empty @t24))) % 5.22/5.49 (define @t256 () (not (tptp.empty @t143))) % 5.22/5.49 (define @t257 () (not (tptp.empty @t57))) % 5.22/5.49 (define @t258 () (and @t63 @t164)) % 5.22/5.49 (define @t259 () (forall @t13 (=> @t258 @t257))) % 5.22/5.49 (define @t260 () (tptp.v1_membered @t66)) % 5.22/5.49 (define @t261 () (tptp.v1_membered @t65)) % 5.22/5.49 (define @t262 () (tptp.v2_membered @t66)) % 5.22/5.49 (define @t263 () (tptp.ordinal @t143)) % 5.22/5.49 (define @t264 () (tptp.epsilon_connected @t143)) % 5.22/5.49 (define @t265 () (tptp.epsilon_transitive @t143)) % 5.22/5.49 (define @t266 () (tptp.v2_membered @t65)) % 5.22/5.49 (define @t267 () (tptp.v3_membered @t66)) % 5.22/5.49 (define @t268 () (tptp.v3_membered @t65)) % 5.22/5.49 (define @t269 () (tptp.v4_membered @t66)) % 5.22/5.49 (define @t270 () (tptp.v4_membered @t65)) % 5.22/5.49 (define @t271 () (tptp.v1_membered @t199)) % 5.22/5.49 (define @t272 () (tptp.v2_membered @t199)) % 5.22/5.49 (define @t273 () (tptp.v3_membered @t199)) % 5.22/5.49 (define @t274 () (tptp.v4_membered @t199)) % 5.22/5.49 (define @t275 () (and @t84 @t125)) % 5.22/5.49 (define @t276 () (and @t148 @t117)) % 5.22/5.49 (define @t277 () (tptp.empty @t97)) % 5.22/5.49 (define @t278 () (and @t167 @t40)) % 5.22/5.49 (define @t279 () (tptp.empty @t201)) % 5.22/5.49 (define @t280 () (tptp.in @t2 @t107)) % 5.22/5.49 (define @t281 () (tptp.disjoint @t142 @t2)) % 5.22/5.49 (define @t282 () (not @t5)) % 5.22/5.49 (define @t283 () (tptp.well_ordering @t2)) % 5.22/5.49 (define @t284 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 5.22/5.49 (define @t285 () (tptp.singleton @t41)) % 5.22/5.49 (define @t286 () (tptp.subset_complement @t57 @t2)) % 5.22/5.49 (define @t287 () (tptp.in @t41 @t286)) % 5.22/5.49 (define @t288 () (=> @t58 (= @t287 @t175))) % 5.22/5.49 (define @t289 () (forall @t106 @t288)) % 5.22/5.49 (define @t290 () (=> @t116 @t289)) % 5.22/5.49 (define @t291 () (forall @t11 @t290)) % 5.22/5.49 (define @t292 () (=> @t258 @t291)) % 5.22/5.49 (define @t293 () (forall @t13 @t292)) % 5.22/5.49 (define @t294 () (not @t293)) % 5.22/5.49 (define @t295 () (not @t128)) % 5.22/5.49 (define @t296 () (tptp.singleton @t2)) % 5.22/5.49 (define @t297 () (tptp.union @t2)) % 5.22/5.49 (define @t298 () (tptp.in @t1 @t41)) % 5.22/5.49 (define @t299 () (tptp.element @t1 @t237)) % 5.22/5.49 (define @t300 () (tptp.relation_dom_restriction @t41 @t1)) % 5.22/5.49 (define @t301 () (tptp.in @t2 (tptp.relation_dom @t300))) % 5.22/5.49 (define @t302 () (tptp.one_to_one @t2)) % 5.22/5.49 (define @t303 () (tptp.set_intersection2 @t2 @t41)) % 5.22/5.49 (define @t304 () (tptp.set_difference @t2 @t41)) % 5.22/5.49 (define @t305 () (@var "K" $$unsorted)) % 5.22/5.49 (define @t306 () (@var "J" $$unsorted)) % 5.22/5.49 (define @t307 () (tptp.in @t305 @t306)) % 5.22/5.49 (define @t308 () (@list @t305)) % 5.22/5.49 (define @t309 () (@list @t306)) % 5.22/5.49 (define @t310 () (= @t76 @t88)) % 5.22/5.49 (define @t311 () (@var "I" $$unsorted)) % 5.22/5.49 (define @t312 () (@var "H" $$unsorted)) % 5.22/5.49 (define @t313 () (tptp.in @t311 @t312)) % 5.22/5.49 (define @t314 () (@list @t311)) % 5.22/5.49 (define @t315 () (@list @t312)) % 5.22/5.49 (define @t316 () (exists @t315 (and (= @t41 @t312) (tptp.in @t88 @t312) (forall @t314 (=> @t313 (tptp.in (tptp.ordered_pair @t88 @t311) @t2)))))) % 5.22/5.49 (define @t317 () (@var "G" $$unsorted)) % 5.22/5.49 (define @t318 () (tptp.in @t317 @t170)) % 5.22/5.49 (define @t319 () (@list @t317)) % 5.22/5.49 (define @t320 () (exists @t221 (and (= @t41 @t170) (tptp.in @t76 @t170) (forall @t319 (=> @t318 (tptp.in (tptp.ordered_pair @t76 @t317) @t2)))))) % 5.22/5.49 (define @t321 () (forall @t223 (=> (and @t78 @t320 @t78 @t316) @t310))) % 5.22/5.49 (define @t322 () (and @t167 @t84)) % 5.22/5.49 (define @t323 () (= @t76 @t296)) % 5.22/5.49 (define @t324 () (= @t41 @t296)) % 5.22/5.49 (define @t325 () (forall @t129 (=> (and @t3 @t324 @t3 @t323) @t77))) % 5.22/5.49 (define @t326 () (tptp.ordinal @t41)) % 5.22/5.49 (define @t327 () (@var "S" $$unsorted)) % 5.22/5.49 (define @t328 () (@var "T" $$unsorted)) % 5.22/5.49 (define @t329 () (@var "R" $$unsorted)) % 5.22/5.49 (define @t330 () (tptp.powerset (tptp.powerset @t76))) % 5.22/5.49 (define @t331 () (@list @t329)) % 5.22/5.49 (define @t332 () (tptp.in @t76 tptp.omega)) % 5.22/5.49 (define @t333 () (tptp.ordinal @t76)) % 5.22/5.49 (define @t334 () (@var "P" $$unsorted)) % 5.22/5.49 (define @t335 () (@var "Q" $$unsorted)) % 5.22/5.49 (define @t336 () (@var "O" $$unsorted)) % 5.22/5.49 (define @t337 () (@list @t335)) % 5.22/5.49 (define @t338 () (@list @t334)) % 5.22/5.49 (define @t339 () (@list @t336)) % 5.22/5.49 (define @t340 () (@var "M" $$unsorted)) % 5.22/5.49 (define @t341 () (@var "N" $$unsorted)) % 5.22/5.49 (define @t342 () (@var "L" $$unsorted)) % 5.22/5.49 (define @t343 () (@list @t341)) % 5.22/5.49 (define @t344 () (tptp.in @t340 @t342)) % 5.22/5.49 (define @t345 () (@list @t340)) % 5.22/5.49 (define @t346 () (@list @t342)) % 5.22/5.49 (define @t347 () (tptp.succ @t76)) % 5.22/5.49 (define @t348 () (=> @t332 (forall @t98 (=> (tptp.element @t88 @t330) (not (and (not (= @t88 tptp.empty_set)) (forall @t221 (not (and (tptp.in @t170 @t88) (forall @t319 (=> (and (tptp.in @t317 @t88) (tptp.subset @t170 @t317)) (= @t317 @t170)))))))))))) % 5.22/5.49 (define @t349 () (tptp.subset @t2 @t41)) % 5.22/5.49 (define @t350 () (tptp.powerset tptp.empty_set)) % 5.22/5.49 (define @t351 () (tptp.apply @t41 @t170)) % 5.22/5.49 (define @t352 () (tptp.in @t170 @t1)) % 5.22/5.49 (define @t353 () (tptp.relation @t76)) % 5.22/5.49 (define @t354 () (and @t84 @t42 @t197)) % 5.22/5.49 (define @t355 () (forall @t308 (=> @t307 (tptp.in (tptp.ordered_pair @t76 @t305) @t2)))) % 5.22/5.49 (define @t356 () (tptp.in @t76 @t306)) % 5.22/5.49 (define @t357 () (= @t170 @t88)) % 5.22/5.49 (define @t358 () (tptp.cartesian_product2 @t1 @t41)) % 5.22/5.49 (define @t359 () (= @t88 @t170)) % 5.22/5.49 (define @t360 () (tptp.ordered_pair @t305 @t342)) % 5.22/5.49 (define @t361 () (@list @t305 @t342)) % 5.22/5.49 (define @t362 () (= @t76 @t170)) % 5.22/5.49 (define @t363 () (tptp.in @t306 @t311)) % 5.22/5.49 (define @t364 () (tptp.in @t317 @t1)) % 5.22/5.49 (define @t365 () (tptp.ordered_pair @t317 @t312)) % 5.22/5.49 (define @t366 () (@list @t317 @t312)) % 5.22/5.49 (define @t367 () (@list @t76 @t88 @t170)) % 5.22/5.49 (define @t368 () (= @t88 @t76)) % 5.22/5.49 (define @t369 () (tptp.in @t312 @t1)) % 5.22/5.49 (define @t370 () (= @t41 @t88)) % 5.22/5.49 (define @t371 () (tptp.ordered_pair @t170 @t317)) % 5.22/5.49 (define @t372 () (@list @t170 @t317)) % 5.22/5.49 (define @t373 () (= @t76 @t41)) % 5.22/5.49 (define @t374 () (not (and (not (= @t170 tptp.empty_set)) (forall @t319 (not (and @t318 (forall @t315 (=> (and (tptp.in @t312 @t170) (tptp.subset @t317 @t312)) (= @t312 @t317))))))))) % 5.22/5.49 (define @t375 () (tptp.ordinal @t88)) % 5.22/5.49 (define @t376 () (tptp.subset @t2 @t76)) % 5.22/5.49 (define @t377 () (tptp.in @t88 @t112)) % 5.22/5.49 (define @t378 () (and @t148 @t117 @t116)) % 5.22/5.49 (define @t379 () (tptp.in (tptp.set_difference @t179 @t76) @t2)) % 5.22/5.49 (define @t380 () (and @t148 @t117 @t147)) % 5.22/5.49 (define @t381 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t143))))) % 5.22/5.49 (define @t382 () (tptp.cartesian_product2 @t1 @t1)) % 5.22/5.49 (define @t383 () (tptp.apply @t41 @t317)) % 5.22/5.49 (define @t384 () (tptp.in (tptp.relation_image @t41 @t88) @t2)) % 5.22/5.49 (define @t385 () (tptp.powerset @t194)) % 5.22/5.49 (define @t386 () (and @t226 @t42 @t197)) % 5.22/5.49 (define @t387 () (tptp.succ @t2)) % 5.22/5.49 (define @t388 () (exists @t98 (and @t113 @t368 (tptp.closed_subset @t88 @t1) @t376))) % 5.22/5.49 (define @t389 () (tptp.in @t76 @t112)) % 5.22/5.49 (define @t390 () (tptp.apply @t2 @t41)) % 5.22/5.49 (define @t391 () (= @t123 @t1)) % 5.22/5.49 (define @t392 () (exists @t11 (and @t84 @t125 @t391 (forall @t106 (=> @t78 (= @t390 @t285)))))) % 5.22/5.49 (define @t393 () (tptp.in @t1 tptp.omega)) % 5.22/5.49 (define @t394 () (tptp.element @t76 @t112)) % 5.22/5.49 (define @t395 () (tptp.element @t41 @t146)) % 5.22/5.49 (define @t396 () (= @t1 @t41)) % 5.22/5.49 (define @t397 () (tptp.relation_rng @t105)) % 5.22/5.49 (define @t398 () (forall @t106 (not (and @t182 (not (tptp.are_equipotent @t41 @t2)) @t175)))) % 5.22/5.49 (define @t399 () (tptp.powerset @t41)) % 5.22/5.49 (define @t400 () (forall @t81 (=> (and @t149 (tptp.subset @t76 @t41)) @t91))) % 5.22/5.49 (define @t401 () (tptp.relation_dom_restriction @t41 @t2)) % 5.22/5.49 (define @t402 () (tptp.relation_image @t2 @t1)) % 5.22/5.49 (define @t403 () (tptp.relation_inverse_image @t2 @t1)) % 5.22/5.49 (define @t404 () (tptp.relation_image @t2 @t403)) % 5.22/5.49 (define @t405 () (tptp.set_intersection2 @t123 @t1)) % 5.22/5.49 (define @t406 () (tptp.subset @t1 @t124)) % 5.22/5.49 (define @t407 () (tptp.relation_of2_as_subset @t76 @t41 @t2)) % 5.22/5.49 (define @t408 () (tptp.relation_rng @t76)) % 5.22/5.49 (define @t409 () (tptp.relation_of2_as_subset @t76 @t41 @t1)) % 5.22/5.49 (define @t410 () (tptp.relation_rng @t222)) % 5.22/5.49 (define @t411 () (tptp.relation_inverse_image @t41 @t2)) % 5.22/5.49 (define @t412 () (tptp.relation_restriction @t41 @t2)) % 5.22/5.49 (define @t413 () (tptp.relation_restriction @t2 @t1)) % 5.22/5.49 (define @t414 () (tptp.relation_dom_restriction @t2 @t1)) % 5.22/5.49 (define @t415 () (tptp.relation_field @t41)) % 5.22/5.49 (define @t416 () (tptp.in @t1 @t415)) % 5.22/5.49 (define @t417 () (tptp.subset @t1 @t41)) % 5.22/5.49 (define @t418 () (tptp.element @t1 @t2)) % 5.22/5.49 (define @t419 () (tptp.in @t1 @t194)) % 5.22/5.49 (define @t420 () (tptp.in @t206 @t41)) % 5.22/5.49 (define @t421 () (tptp.relation_field @t413)) % 5.22/5.49 (define @t422 () (tptp.apply @t41 @t1)) % 5.22/5.49 (define @t423 () (tptp.relation_composition @t41 @t2)) % 5.22/5.49 (define @t424 () (tptp.in @t1 (tptp.relation_dom @t423))) % 5.22/5.49 (define @t425 () (tptp.apply @t76 @t41)) % 5.22/5.49 (define @t426 () (and @t230 (tptp.quasi_total @t76 @t1 @t2) (tptp.relation_of2_as_subset @t76 @t1 @t2))) % 5.22/5.49 (define @t427 () (tptp.reflexive @t2)) % 5.22/5.49 (define @t428 () (tptp.connected @t2)) % 5.22/5.49 (define @t429 () (tptp.transitive @t2)) % 5.22/5.49 (define @t430 () (tptp.antisymmetric @t2)) % 5.22/5.49 (define @t431 () (tptp.well_ordering @t413)) % 5.22/5.49 (define @t432 () (= @t421 @t1)) % 5.22/5.49 (define @t433 () (tptp.well_orders @t2 @t1)) % 5.22/5.49 (define @t434 () (tptp.well_founded_relation @t2)) % 5.22/5.49 (define @t435 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 5.22/5.49 (define @t436 () (and @t78 @t149)) % 5.22/5.49 (define @t437 () (not @t218)) % 5.22/5.49 (define @t438 () (= @t1 @t387)) % 5.22/5.49 (define @t439 () (tptp.subset_complement @t1 @t41)) % 5.22/5.49 (define @t440 () (tptp.disjoint @t2 @t41)) % 5.22/5.49 (define @t441 () (tptp.relation_dom @t222)) % 5.22/5.49 (define @t442 () (and (tptp.closed_subset @t76 @t1) @t376)) % 5.22/5.49 (define @t443 () (tptp.element @t2 @t399)) % 5.22/5.49 (define @t444 () (tptp.in @t41 @t66)) % 5.22/5.49 (define @t445 () (tptp.in @t41 @t205)) % 5.22/5.49 (define @t446 () (=> @t175 @t445)) % 5.22/5.49 (define @t447 () (tptp.element @t41 @t1)) % 5.22/5.49 (define @t448 () (forall @t106 (=> @t447 @t446))) % 5.22/5.49 (define @t449 () (=> @t25 @t448)) % 5.22/5.49 (define @t450 () (forall @t11 @t449)) % 5.22/5.49 (define @t451 () (=> @t155 @t450)) % 5.22/5.49 (define @t452 () (forall @t13 @t451)) % 5.22/5.49 (define @t453 () (= @t114 @t2)) % 5.22/5.49 (define @t454 () (and (tptp.in @t41 @t201) (= @t76 @t390))) % 5.22/5.49 (define @t455 () (tptp.in @t2 @t439)) % 5.22/5.49 (define @t456 () (not (and @t455 @t177))) % 5.22/5.49 (define @t457 () (forall @t45 (=> @t72 @t456))) % 5.22/5.49 (define @t458 () (tptp.function_inverse @t2)) % 5.22/5.49 (define @t459 () (= @t201 tptp.empty_set)) % 5.22/5.49 (define @t460 () (= @t97 tptp.empty_set)) % 5.22/5.49 (define @t461 () (= (tptp.apply @t300 @t2) (tptp.apply @t41 @t2))) % 5.22/5.49 (define @t462 () (= @t142 (tptp.unordered_pair @t2 @t41))) % 5.22/5.49 (define @t463 () (@var "BOUND_VARIABLE_17105" $$unsorted)) % 5.22/5.49 (define @t464 () (@var "BOUND_VARIABLE_17107" $$unsorted)) % 5.22/5.49 (define @t465 () (tptp.in @t464 (tptp.subset_complement @t1 @t463))) % 5.22/5.49 (define @t466 () (tptp.in @t464 @t463)) % 5.22/5.49 (define @t467 () (not (tptp.element @t464 @t1))) % 5.22/5.49 (define @t468 () (not (tptp.element @t463 @t24))) % 5.22/5.49 (define @t469 () (or @t132 @t468 @t467 @t466 @t465)) % 5.22/5.49 (define @t470 () (or @t468 @t467 @t466 @t465)) % 5.22/5.49 (define @t471 () (or @t132 @t470)) % 5.22/5.49 (define @t472 () (@list @t1 @t463 @t464)) % 5.22/5.49 (define @t473 () (forall @t472 @t471)) % 5.22/5.49 (define @t474 () (@list @t463 @t464)) % 5.22/5.49 (define @t475 () (forall @t474 @t471)) % 5.22/5.49 (define @t476 () (forall @t474 @t470)) % 5.22/5.49 (define @t477 () (@var "BOUND_VARIABLE_17089" $$unsorted)) % 5.22/5.49 (define @t478 () (or @t132 @t476)) % 5.22/5.49 (define @t479 () (tptp.in @t477 @t205)) % 5.22/5.49 (define @t480 () (tptp.in @t477 @t2)) % 5.22/5.49 (define @t481 () (not (tptp.element @t477 @t1))) % 5.22/5.49 (define @t482 () (not @t25)) % 5.22/5.49 (define @t483 () (or @t482 @t481 @t480 @t479)) % 5.22/5.49 (define @t484 () (@list @t2 @t477)) % 5.22/5.49 (define @t485 () (forall @t484 @t483)) % 5.22/5.49 (define @t486 () (or @t481 @t480 @t479)) % 5.22/5.49 (define @t487 () (or @t482 @t486)) % 5.22/5.49 (define @t488 () (forall @t484 @t487)) % 5.22/5.49 (define @t489 () (@list @t477)) % 5.22/5.49 (define @t490 () (forall @t489 @t487)) % 5.22/5.49 (define @t491 () (forall @t489 @t486)) % 5.22/5.49 (define @t492 () (@list @t41)) % 5.22/5.49 (define @t493 () (or @t482 @t491)) % 5.22/5.49 (define @t494 () (not @t447)) % 5.22/5.49 (define @t495 () (or @t494 @t149 @t445)) % 5.22/5.49 (define @t496 () (forall @t106 @t495)) % 5.22/5.49 (define @t497 () (@var "BOUND_VARIABLE_13303" $$unsorted)) % 5.22/5.49 (define @t498 () (@var "BOUND_VARIABLE_13305" $$unsorted)) % 5.22/5.49 (define @t499 () (= (not (tptp.in @t498 @t497)) (tptp.in @t498 (tptp.subset_complement @t57 @t497)))) % 5.22/5.49 (define @t500 () (not (tptp.element @t498 @t57))) % 5.22/5.49 (define @t501 () (not (tptp.element @t497 @t112))) % 5.22/5.49 (define @t502 () (not @t164)) % 5.22/5.49 (define @t503 () (or @t62 @t502 @t501 @t500 @t499)) % 5.22/5.49 (define @t504 () (@list @t1 @t497 @t498)) % 5.22/5.49 (define @t505 () (forall @t504 @t503)) % 5.22/5.49 (define @t506 () (@quantifiers_skolemize @t505 1)) % 5.22/5.49 (define @t507 () (@quantifiers_skolemize @t505 0)) % 5.22/5.49 (define @t508 () (tptp.the_carrier @t507)) % 5.22/5.49 (define @t509 () (@quantifiers_skolemize @t505 2)) % 5.22/5.49 (define @t510 () (tptp.in @t509 (tptp.subset_complement @t508 @t506))) % 5.22/5.49 (define @t511 () (tptp.in @t509 @t506)) % 5.22/5.49 (define @t512 () (tptp.element @t509 @t508)) % 5.22/5.49 (define @t513 () (not @t512)) % 5.22/5.49 (define @t514 () (tptp.element @t506 (tptp.powerset @t508))) % 5.22/5.49 (define @t515 () (not @t514)) % 5.22/5.49 (define @t516 () (or (= @t508 tptp.empty_set) @t515 @t513 @t511 @t510)) % 5.22/5.49 (define @t517 () (forall @t472 @t469)) % 5.22/5.49 (define @t518 () (= tptp.empty_set @t508)) % 5.22/5.49 (define @t519 () (or @t518 @t515 @t513 @t511 @t510)) % 5.22/5.49 (define @t520 () (or @t501 @t500 @t499)) % 5.22/5.49 (define @t521 () (or @t62 @t502 @t520)) % 5.22/5.49 (define @t522 () (forall @t504 @t521)) % 5.22/5.49 (define @t523 () (@list @t497 @t498)) % 5.22/5.49 (define @t524 () (forall @t523 @t521)) % 5.22/5.49 (define @t525 () (forall @t523 @t520)) % 5.22/5.49 (define @t526 () (@var "BOUND_VARIABLE_13285" $$unsorted)) % 5.22/5.49 (define @t527 () (or @t62 @t502 @t525)) % 5.22/5.49 (define @t528 () (= (not (tptp.in @t526 @t2)) (tptp.in @t526 @t286))) % 5.22/5.49 (define @t529 () (not (tptp.element @t526 @t57))) % 5.22/5.49 (define @t530 () (not @t116)) % 5.22/5.49 (define @t531 () (or @t530 @t529 @t528)) % 5.22/5.49 (define @t532 () (@list @t2 @t526)) % 5.22/5.49 (define @t533 () (forall @t532 @t531)) % 5.22/5.49 (define @t534 () (or @t62 @t502 @t533)) % 5.22/5.49 (define @t535 () (or @t62 @t502)) % 5.22/5.49 (define @t536 () (not @t258)) % 5.22/5.49 (define @t537 () (or @t529 @t528)) % 5.22/5.49 (define @t538 () (or @t530 @t537)) % 5.22/5.49 (define @t539 () (forall @t532 @t538)) % 5.22/5.49 (define @t540 () (@list @t526)) % 5.22/5.49 (define @t541 () (forall @t540 @t538)) % 5.22/5.49 (define @t542 () (forall @t540 @t537)) % 5.22/5.49 (define @t543 () (or @t530 @t542)) % 5.22/5.49 (define @t544 () (= @t175 @t287)) % 5.22/5.49 (define @t545 () (forall @t106 (or (not @t58) @t544))) % 5.22/5.49 (define @t546 () (not @t511)) % 5.22/5.49 (define @t547 () (= @t546 @t510)) % 5.22/5.49 (define @t548 () (tptp.one_sorted_str @t507)) % 5.22/5.49 (define @t549 () (not @t548)) % 5.22/5.49 (define @t550 () (tptp.empty_carrier @t507)) % 5.22/5.49 (define @t551 () (or @t550 @t549 @t515 @t513 @t547)) % 5.22/5.49 (define @t552 () (@list true)) % 5.22/5.49 (define @t553 () (@list @t551)) % 5.22/5.49 (define @t554 () (not @t510)) % 5.22/5.49 (define @t555 () (not @t455)) % 5.22/5.49 (define @t556 () (not @t72)) % 5.22/5.49 (define @t557 () (or @t515 @t554 @t546)) % 5.22/5.49 (define @t558 () (tptp.empty @t508)) % 5.22/5.49 (define @t559 () (not @t558)) % 5.22/5.49 (define @t560 () (or @t550 @t549 @t559)) % 5.22/5.49 (assume @p1 (forall @t6 (=> @t5 @t4))) % 5.22/5.49 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 5.22/5.49 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 5.22/5.49 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 5.22/5.49 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 5.22/5.49 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 5.22/5.49 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 5.22/5.49 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 5.22/5.49 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 5.22/5.49 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 5.22/5.49 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 5.22/5.49 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 5.22/5.49 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 5.22/5.49 (assume @p14 (forall @t13 (=> @t22 @t33))) % 5.22/5.49 (assume @p15 (forall @t13 (=> @t35 @t34))) % 5.22/5.49 (assume @p16 (forall @t13 (=> @t22 @t36))) % 5.22/5.49 (assume @p17 (forall @t13 (=> @t21 @t19))) % 5.22/5.49 (assume @p18 (forall @t13 (=> @t32 @t39))) % 5.22/5.49 (assume @p19 (forall @t13 (=> @t22 @t40))) % 5.22/5.49 (assume @p20 (forall @t45 (=> @t44 @t42))) % 5.22/5.49 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 5.22/5.49 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 5.22/5.49 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 5.22/5.49 (assume @p24 (forall @t13 (=> @t34 @t35))) % 5.22/5.49 (assume @p25 (forall @t13 (=> @t51 @t50))) % 5.22/5.49 (assume @p26 (forall @t13 (=> @t19 @t17))) % 5.22/5.49 (assume @p27 (forall @t13 (=> @t39 @t32))) % 5.22/5.49 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 5.22/5.49 (assume @p29 (forall @t13 (=> @t17 @t15))) % 5.22/5.49 (assume @p30 (forall @t13 (=> @t22 @t52))) % 5.22/5.49 (assume @p31 (forall @t13 (=> @t15 @t12))) % 5.22/5.49 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 5.22/5.49 (assume @p33 (forall @t6 (= @t55 @t54))) % 5.22/5.49 (assume @p34 (forall @t45 (=> @t64 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 5.22/5.49 (assume @p35 (forall @t6 (= @t66 @t65))) % 5.22/5.49 (assume @p36 (forall @t45 (=> @t70 (= @t67 (tptp.meet_commut @t1 @t41 @t2))))) % 5.22/5.49 (assume @p37 (forall @t45 (=> @t73 (= @t71 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 5.22/5.49 (assume @p38 (forall @t6 (=> @t75 (or @t74 (tptp.ordinal_subset @t2 @t1))))) % 5.22/5.49 (assume @p39 (forall @t6 (=> @t84 (= @t83 (forall @t81 (= @t80 (and @t78 @t77))))))) % 5.22/5.49 (assume @p40 (forall @t6 (= @t87 (and @t86 @t85)))) % 5.22/5.49 (assume @p41 (forall @t13 (=> @t40 (forall @t95 (=> @t42 (= (= @t41 @t94) (forall @t93 (= @t92 (and @t91 @t90))))))))) % 5.22/5.49 (assume @p42 (forall @t13 (=> @t103 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t97) @t96 (= @t76 (tptp.apply @t1 @t88))))))))))) % 5.22/5.49 (assume @p43 (forall @t6 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t105) (forall @t93 (= @t92 (and @t104 (tptp.in @t89 @t2)))))))))) % 5.22/5.49 (assume @p44 (forall @t13 (=> @t40 (= @t108 (tptp.is_antisymmetric_in @t1 @t107))))) % 5.22/5.49 (assume @p45 (forall @t13 (=> @t103 (forall @t95 (= @t111 (forall @t100 (= @t99 (and @t110 (tptp.in @t109 @t2))))))))) % 5.22/5.49 (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)))))))))))))))) % 5.22/5.49 (assume @p47 (forall @t13 (=> @t40 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t118 @t1) @t96))))))))) % 5.22/5.49 (assume @p48 (forall @t13 (=> @t40 (forall @t95 (= @t111 (forall @t100 (= @t99 (exists @t98 (and @t90 @t96))))))))) % 5.22/5.49 (assume @p49 (forall @t13 (=> @t40 (= @t119 (tptp.is_connected_in @t1 @t107))))) % 5.22/5.49 (assume @p50 (forall @t13 (=> @t40 (= @t120 (tptp.is_transitive_in @t1 @t107))))) % 5.22/5.49 (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))))))))) % 5.22/5.49 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t84 @t125 (= @t124 @t1) (tptp.in @t123 tptp.omega)))))) % 5.22/5.49 (assume @p53 (forall @t13 (= @t36 (forall @t129 (=> (and @t128 @t126) @t77))))) % 5.22/5.49 (assume @p54 (forall @t45 (=> @t135 (and (=> (=> @t133 @t132) (= @t131 (= @t1 @t134))) (=> @t133 (or @t132 (= @t131 @t130))))))) % 5.22/5.49 (assume @p55 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t137 (tptp.apply_binary_as_element @t57 @t57 @t57 @t136 @t2 @t41))))))))) % 5.22/5.49 (assume @p56 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t81 (=> @t140 @t139))))))) % 5.22/5.49 (assume @p57 (forall @t13 (= @t143 (tptp.set_union2 @t1 @t142)))) % 5.22/5.49 (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))))))))))) % 5.22/5.49 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t81 (not (= @t2 @t79))))))))) % 5.22/5.49 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t150 (forall @t106 (=> @t149 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 5.22/5.49 (assume @p61 (forall @t45 (= @t151 (tptp.subset @t41 @t43)))) % 5.22/5.49 (assume @p62 (forall @t6 (and (=> @t155 (= @t152 (forall @t106 (= @t149 (forall @t100 (=> @t154 @t153)))))) (=> @t132 (= @t152 @t133))))) % 5.22/5.49 (assume @p63 (forall @t6 (= (= @t2 @t142) (forall @t106 (= @t149 (= @t41 @t1)))))) % 5.22/5.49 (assume @p64 (forall @t13 (=> @t40 (forall @t95 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t100 (= @t99 (and (not @t156) (tptp.in (tptp.ordered_pair @t76 @t2) @t1))))))))) % 5.22/5.49 (assume @p65 (forall @t6 (=> @t84 (= (= @t2 @t159) (and (= @t158 @t1) (forall @t81 (=> (and @t78 @t154) (= @t80 @t157)))))))) % 5.22/5.49 (assume @p66 (forall @t13 (= @t132 (forall @t11 @t4)))) % 5.22/5.49 (assume @p67 (forall @t6 (= (= @t2 @t24) (forall @t106 (= @t149 (tptp.subset @t41 @t1)))))) % 5.22/5.49 (assume @p68 (forall @t13 (=> (and @t63 @t68) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t161 (tptp.apply_binary_as_element @t57 @t57 @t57 @t160 @t2 @t41))))))))) % 5.22/5.49 (assume @p69 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t81 (=> @t140 @t162))))))) % 5.22/5.49 (assume @p70 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t85))))) % 5.22/5.49 (assume @p71 (forall @t13 (=> @t164 (= @t163 tptp.empty_set)))) % 5.22/5.49 (assume @p72 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t87 (forall @t81 (= @t165 @t80)))))))) % 5.22/5.49 (assume @p73 (forall @t6 (and (=> @t167 (= @t10 @t3)) (=> @t22 (= @t10 @t166))))) % 5.22/5.49 (assume @p74 (forall @t45 (= (= @t41 @t53) (forall @t100 (= @t99 (or (= @t76 @t1) @t156)))))) % 5.22/5.49 (assume @p75 (forall @t13 (=> @t40 (= @t169 (forall @t11 (not (and (tptp.subset @t2 @t107) @t168 (forall @t106 (not (and @t149 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 5.22/5.49 (assume @p76 (forall @t45 (= (= @t41 @t55) (forall @t100 (= @t99 (or @t154 @t91)))))) % 5.22/5.49 (assume @p77 (forall @t45 (= (= @t41 @t43) (forall @t100 (= @t99 (exists @t173 (and @t104 @t172 (= @t76 @t171)))))))) % 5.22/5.49 (assume @p78 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t174 (= @t137 @t41))))))))) % 5.22/5.49 (assume @p79 (forall @t13 (= @t37 (forall @t95 (not (and @t3 @t78 @t178 @t176 @t175)))))) % 5.22/5.49 (assume @p80 (forall @t13 (=> @t164 (= @t179 @t57)))) % 5.22/5.49 (assume @p81 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t86 (forall @t81 (=> @t165 @t80)))))))) % 5.22/5.49 (assume @p82 (forall @t6 (= @t86 @t180))) % 5.22/5.49 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (= @t183 (forall @t106 (not (and @t182 @t181 (forall @t100 (not (and @t99 (tptp.disjoint (tptp.fiber @t1 @t76) @t41)))))))))))) % 5.22/5.49 (assume @p84 (forall @t45 (= (= @t41 @t66) (forall @t100 (= @t99 (and @t154 @t91)))))) % 5.22/5.49 (assume @p85 (forall @t13 (=> @t103 (forall @t95 (and (=> @t186 (= @t185 @t128)) (=> (not @t186) (= @t185 @t130))))))) % 5.22/5.49 (assume @p86 (forall @t13 (= @t32 @t39))) % 5.22/5.49 (assume @p87 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t97) (forall @t106 (= @t149 (exists @t100 @t165)))))))) % 5.22/5.49 (assume @p88 (forall @t13 (=> @t40 (forall @t11 (= @t188 (forall @t81 (=> (and @t149 @t91 @t165 @t187) @t77))))))) % 5.22/5.49 (assume @p89 (forall @t13 (= @t189 @t1))) % 5.22/5.49 (assume @p90 (forall @t6 (= (= @t2 @t190) (forall @t106 (= @t149 (exists @t100 (and @t153 @t154))))))) % 5.22/5.49 (assume @p91 (forall @t13 (=> @t40 (= @t192 (and @t191 @t120 @t108 @t119 @t169))))) % 5.22/5.49 (assume @p92 (forall @t6 (= @t198 (exists @t106 (and @t42 @t197 @t196 @t195 (= @t193 @t2)))))) % 5.22/5.49 (assume @p93 (forall @t45 (= (= @t41 @t199) (forall @t100 (= @t99 (and @t154 (not @t91))))))) % 5.22/5.49 (assume @p94 (forall @t13 (=> @t103 (forall @t11 (= @t202 (forall @t106 (= @t149 (exists @t100 @t200)))))))) % 5.22/5.49 (assume @p95 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t203 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t86))))))) % 5.22/5.49 (assume @p96 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t204 @t145)))))) % 5.22/5.49 (assume @p97 (forall @t13 (=> @t40 (forall @t11 (= @t202 (forall @t106 (= @t149 (exists @t100 @t187)))))))) % 5.22/5.49 (assume @p98 (forall @t6 (=> @t25 (= @t205 @t199)))) % 5.22/5.49 (assume @p99 (forall @t6 (= @t206 (tptp.unordered_pair @t53 @t142)))) % 5.22/5.49 (assume @p100 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t150 @t208 @t188 @t207 @t183)))))) % 5.22/5.49 (assume @p101 (forall @t13 (= @t203 (= @t1 @t190)))) % 5.22/5.49 (assume @p102 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t210 (tptp.open_subset @t209 @t1))))))) % 5.22/5.49 (assume @p103 (forall @t13 (=> @t40 (= @t107 (tptp.set_union2 @t97 @t201))))) % 5.22/5.49 (assume @p104 (forall @t13 (=> @t40 (forall @t11 (= @t207 (forall @t81 (not (and @t149 @t91 (not @t77) (not @t165) (not @t187))))))))) % 5.22/5.49 (assume @p105 (forall @t13 (=> @t40 (forall @t11 (= @t212 (tptp.set_intersection2 @t1 @t211)))))) % 5.22/5.49 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= (= @t2 @t213) (forall @t81 (= @t80 @t187)))))))) % 5.22/5.49 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t217 (= @t216 (and (= @t194 @t107) (= @t193 @t158) @t196 (forall @t93 (= @t90 (and (tptp.in @t76 @t107) (tptp.in @t88 @t107) (tptp.in (tptp.ordered_pair @t215 @t214) @t2))))))))))))) % 5.22/5.49 (assume @p108 (forall @t6 (= @t218 (= @t66 tptp.empty_set)))) % 5.22/5.49 (assume @p109 (forall @t13 (=> @t103 (= @t49 (forall @t95 (=> (and @t186 (tptp.in @t41 @t97) (= @t184 (tptp.apply @t1 @t41))) @t139)))))) % 5.22/5.49 (assume @p110 (forall @t13 (=> (and @t63 @t220) (= @t219 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= (tptp.join @t1 @t161 @t41) @t41))))))))) % 5.22/5.49 (assume @p111 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t222) (forall @t93 (= @t92 (exists @t221 (and (tptp.in (tptp.ordered_pair @t76 @t170) @t1) (tptp.in (tptp.ordered_pair @t170 @t88) @t2))))))))))))) % 5.22/5.49 (assume @p112 (forall @t13 (=> @t40 (forall @t11 (= @t208 (forall @t223 (=> (and @t149 @t91 @t96 @t165 @t90) (tptp.in (tptp.ordered_pair @t41 @t88) @t1)))))))) % 5.22/5.49 (assume @p113 (forall @t6 (=> @t226 (forall @t106 (=> (tptp.element @t41 @t225) (= (= @t41 @t224) (forall @t100 (=> (tptp.element @t76 @t24) (= @t99 (tptp.in (tptp.subset_complement @t1 @t76) @t2)))))))))) % 5.22/5.49 (assume @p114 (forall @t6 (= @t8 (and @t86 @t227)))) % 5.22/5.49 (assume @p115 (forall @t13 (=> @t103 (=> @t49 (= @t228 @t213))))) % 5.22/5.49 (assume @p116 (forall @t13 (=> @t40 (= @t191 (tptp.is_reflexive_in @t1 @t107))))) % 5.22/5.49 (assume @p117 true) % 5.22/5.49 (assume @p118 (forall @t45 (=> (and @t63 @t60 @t59 @t58) (tptp.element @t137 @t57)))) % 5.22/5.49 (assume @p119 (forall @t13 (=> @t164 (tptp.element @t163 @t112)))) % 5.22/5.49 (assume @p120 (forall @t13 (tptp.relation @t159))) % 5.22/5.49 (assume @p121 (forall @t233 (=> @t232 (tptp.element @t229 @t41)))) % 5.22/5.49 (assume @p122 (forall @t13 (=> @t103 (and (tptp.relation @t228) (tptp.function @t228))))) % 5.22/5.49 (assume @p123 (forall @t45 (=> (and @t63 @t68 @t59 @t58) (tptp.element @t161 @t57)))) % 5.22/5.49 (assume @p124 (forall @t13 (=> @t164 (tptp.element @t179 @t112)))) % 5.22/5.49 (assume @p125 (forall @t13 (tptp.element @t189 @t24))) % 5.22/5.49 (assume @p126 (forall @t6 (=> @t40 (tptp.relation @t212)))) % 5.22/5.49 (assume @p127 (forall @t45 (=> @t64 (tptp.element @t56 @t57)))) % 5.22/5.49 (assume @p128 (forall @t6 (=> @t25 (tptp.element @t205 @t24)))) % 5.22/5.49 (assume @p129 (forall @t45 (=> @t70 (tptp.element @t67 @t57)))) % 5.22/5.49 (assume @p130 (forall @t13 (=> @t40 @t234))) % 5.22/5.49 (assume @p131 (forall @t45 (=> @t151 (tptp.element @t134 @t24)))) % 5.22/5.49 (assume @p132 (forall @t6 (=> @t236 @t235))) % 5.22/5.49 (assume @p133 (forall @t45 (=> @t151 (tptp.element @t238 @t237)))) % 5.22/5.49 (assume @p134 (forall @t6 (=> @t226 (tptp.element @t239 @t24)))) % 5.22/5.49 (assume @p135 (forall @t45 (=> @t73 (tptp.element @t71 @t24)))) % 5.22/5.49 (assume @p136 (forall @t6 (=> (and @t117 @t116) (tptp.element @t114 @t112)))) % 5.22/5.49 (assume @p137 (forall @t13 @t240)) % 5.22/5.49 (assume @p138 (forall @t6 (=> @t226 (tptp.element @t241 @t24)))) % 5.22/5.49 (assume @p139 (forall @t45 (=> @t73 (tptp.element @t242 @t24)))) % 5.22/5.49 (assume @p140 (forall @t6 (=> @t40 @t243))) % 5.22/5.49 (assume @p141 (forall @t6 (=> @t226 (tptp.element @t224 @t225)))) % 5.22/5.49 (assume @p142 (forall @t6 (=> @t84 @t244))) % 5.22/5.49 (assume @p143 (forall @t13 (=> @t68 @t164))) % 5.22/5.49 (assume @p144 (forall @t13 (=> @t117 @t164))) % 5.22/5.49 (assume @p145 (forall @t13 (=> @t60 @t164))) % 5.22/5.49 (assume @p146 (forall @t13 (=> @t220 (and @t68 @t60)))) % 5.22/5.49 (assume @p147 (forall @t45 (=> @t135 @t44))) % 5.22/5.49 (assume @p148 (forall @t13 (=> @t68 (and (tptp.function @t160) (tptp.quasi_total @t160 @t245 @t57) (tptp.relation_of2_as_subset @t160 @t245 @t57))))) % 5.22/5.49 (assume @p149 (forall @t13 (=> @t117 (tptp.element @t144 @t146)))) % 5.22/5.49 (assume @p150 (forall @t13 (=> @t60 (and (tptp.function @t136) (tptp.quasi_total @t136 @t245 @t57) (tptp.relation_of2_as_subset @t136 @t245 @t57))))) % 5.22/5.49 (assume @p151 (exists @t13 @t68)) % 5.22/5.49 (assume @p152 (exists @t13 @t117)) % 5.22/5.49 (assume @p153 (exists @t13 @t164)) % 5.22/5.49 (assume @p154 (exists @t13 @t60)) % 5.22/5.49 (assume @p155 (exists @t13 @t220)) % 5.22/5.49 (assume @p156 (forall @t6 (exists @t106 @t151))) % 5.22/5.49 (assume @p157 (forall @t13 (exists @t11 @t10))) % 5.22/5.49 (assume @p158 (forall @t6 (exists @t106 @t135))) % 5.22/5.49 (assume @p159 (forall @t6 (=> @t48 @t246))) % 5.22/5.49 (assume @p160 (forall @t6 (=> @t248 (and (tptp.empty @t247) (tptp.relation @t247))))) % 5.22/5.49 (assume @p161 (forall @t6 (=> @t33 @t246))) % 5.22/5.49 (assume @p162 (forall @t13 (=> @t22 (and (tptp.empty @t213) @t234)))) % 5.22/5.49 (assume @p163 (forall @t6 (=> @t33 (tptp.finite @t199)))) % 5.22/5.49 (assume @p164 (and @t251 @t250 @t249)) % 5.22/5.49 (assume @p165 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t101)))) % 5.22/5.49 (assume @p166 (forall @t6 (=> @t253 (and @t243 (tptp.relation_empty_yielding @t94))))) % 5.22/5.49 (assume @p167 (forall @t13 (and @t254 (tptp.finite @t142)))) % 5.22/5.49 (assume @p168 (forall @t13 (and @t255 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 5.22/5.49 (assume @p169 (forall @t6 (=> (and @t40 @t36 @t84 @t125) (and @t235 (tptp.function @t222))))) % 5.22/5.49 (assume @p170 (forall @t13 @t256)) % 5.22/5.49 (assume @p171 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 5.22/5.49 (assume @p172 (forall @t13 (=> @t164 (and (tptp.empty @t163) (tptp.v1_membered @t163) (tptp.v2_membered @t163) (tptp.v3_membered @t163) (tptp.v4_membered @t163) (tptp.v5_membered @t163))))) % 5.22/5.49 (assume @p173 (forall @t6 (=> @t236 (tptp.relation @t66)))) % 5.22/5.49 (assume @p174 @t259) % 5.22/5.49 (assume @p175 (forall @t13 @t255)) % 5.22/5.49 (assume @p176 @t251) % 5.22/5.49 (assume @p177 (forall @t6 (not (tptp.empty @t206)))) % 5.22/5.49 (assume @p178 (forall @t6 (=> @t12 @t260))) % 5.22/5.49 (assume @p179 (forall @t6 (=> @t12 @t261))) % 5.22/5.49 (assume @p180 (forall @t6 (=> @t15 (and @t260 @t262)))) % 5.22/5.49 (assume @p181 (forall @t13 (=> (and @t32 @t46) (and @t256 @t265 @t264 @t263 (tptp.natural @t143))))) % 5.22/5.49 (assume @p182 (forall @t13 (and @t240 (tptp.function @t82)))) % 5.22/5.49 (assume @p183 (and @t250 @t249 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t251 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 5.22/5.49 (assume @p184 (forall @t6 (=> @t236 (tptp.relation @t55)))) % 5.22/5.49 (assume @p185 (forall @t13 @t254)) % 5.22/5.49 (assume @p186 (forall @t6 (=> @t167 (not (tptp.empty @t55))))) % 5.22/5.49 (assume @p187 (forall @t6 (=> @t15 (and @t261 @t266)))) % 5.22/5.49 (assume @p188 (forall @t6 (=> @t17 (and @t260 @t262 @t267)))) % 5.22/5.49 (assume @p189 (forall @t6 (=> @t17 (and @t261 @t266 @t268)))) % 5.22/5.49 (assume @p190 (forall @t6 (=> @t19 (and @t260 @t262 @t267 @t269)))) % 5.22/5.49 (assume @p191 (forall @t6 (=> @t19 (and @t261 @t266 @t268 @t270)))) % 5.22/5.49 (assume @p192 (forall @t6 (=> @t21 (and @t260 @t262 @t267 @t269 (tptp.v5_membered @t66))))) % 5.22/5.49 (assume @p193 (forall @t6 (=> @t21 (and @t261 @t266 @t268 @t270 (tptp.v5_membered @t65))))) % 5.22/5.49 (assume @p194 (forall @t6 (=> @t12 @t271))) % 5.22/5.49 (assume @p195 (forall @t6 (=> @t15 (and @t271 @t272)))) % 5.22/5.49 (assume @p196 (forall @t6 (=> @t17 (and @t271 @t272 @t273)))) % 5.22/5.49 (assume @p197 (forall @t13 (=> @t50 (and @t234 (tptp.function @t213))))) % 5.22/5.49 (assume @p198 (forall @t13 (=> @t32 (and @t256 @t265 @t264 @t263)))) % 5.22/5.49 (assume @p199 (forall @t6 (=> @t236 (tptp.relation @t199)))) % 5.22/5.49 (assume @p200 (forall @t6 (not (tptp.empty @t53)))) % 5.22/5.49 (assume @p201 (forall @t6 (=> @t167 (not (tptp.empty @t54))))) % 5.22/5.49 (assume @p202 (forall @t6 (=> @t19 (and @t271 @t272 @t273 @t274)))) % 5.22/5.49 (assume @p203 (forall @t6 (=> @t21 (and @t271 @t272 @t273 @t274 (tptp.v5_membered @t199))))) % 5.22/5.49 (assume @p204 (forall @t6 (=> @t103 (and @t243 (tptp.function @t94))))) % 5.22/5.49 (assume @p205 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t190) (tptp.epsilon_connected @t190) (tptp.ordinal @t190))))) % 5.22/5.49 (assume @p206 (and @t251 @t250)) % 5.22/5.49 (assume @p207 (forall @t6 (=> (and @t167 @t231) (not (tptp.empty @t43))))) % 5.22/5.49 (assume @p208 (forall @t6 (=> @t275 (and @t244 (tptp.function @t105))))) % 5.22/5.49 (assume @p209 (forall @t13 (=> @t276 (tptp.closed_subset @t179 @t1)))) % 5.22/5.49 (assume @p210 (forall @t13 (=> @t278 (not @t277)))) % 5.22/5.49 (assume @p211 (and @t251 (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 5.22/5.49 (assume @p212 (forall @t13 (=> @t278 (not @t279)))) % 5.22/5.49 (assume @p213 (forall @t13 (=> @t22 (and @t277 (tptp.relation @t97))))) % 5.22/5.49 (assume @p214 (forall @t13 (=> @t22 (and @t279 (tptp.relation @t201))))) % 5.22/5.49 (assume @p215 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 5.22/5.49 (assume @p216 (forall @t6 (=> @t248 (and (tptp.empty @t222) @t235)))) % 5.22/5.49 (assume @p217 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 5.22/5.49 (assume @p218 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 5.22/5.49 (assume @p219 (forall @t45 (=> @t73 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 5.22/5.49 (assume @p220 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t205) @t2)))) % 5.22/5.49 (assume @p221 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t213) @t1)))) % 5.22/5.49 (assume @p222 (forall @t6 (=> @t226 (= (tptp.complements_of_subsets @t1 @t224) @t2)))) % 5.22/5.49 (assume @p223 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 5.22/5.49 (assume @p224 (forall @t13 (=> @t40 (= @t191 (forall @t11 (=> @t280 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 5.22/5.49 (assume @p225 (forall @t13 (not (= @t142 tptp.empty_set)))) % 5.22/5.49 (assume @p226 (forall @t6 (=> @t5 (= (tptp.set_union2 @t142 @t2) @t2)))) % 5.22/5.49 (assume @p227 (forall @t6 (not (and @t281 @t5)))) % 5.22/5.49 (assume @p228 (forall @t6 (=> @t282 @t281))) % 5.22/5.49 (assume @p229 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_dom @t105) @t123)))) % 5.22/5.49 (assume @p230 (forall @t13 (=> @t40 (= @t120 (forall @t129 (=> (and @t128 @t165) @t126)))))) % 5.22/5.49 (assume @p231 (forall @t6 (= (tptp.subset @t142 @t2) @t5))) % 5.22/5.49 (assume @p232 (forall @t6 (=> @t84 (not (and @t283 (tptp.equipotent @t1 @t158) (forall @t106 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 5.22/5.49 (assume @p233 (forall @t6 (= (= @t199 tptp.empty_set) @t86))) % 5.22/5.49 (assume @p234 (forall @t6 (=> @t25 (forall @t106 (=> @t149 @t78))))) % 5.22/5.49 (assume @p235 (forall @t13 (=> @t40 (= @t108 (forall @t95 (=> (and @t128 @t284) @t139)))))) % 5.22/5.49 (assume @p236 (forall @t45 (=> @t86 (or @t78 (tptp.subset @t1 (tptp.set_difference @t2 @t285)))))) % 5.22/5.49 (assume @p237 @t294) % 5.22/5.49 (assume @p238 (forall @t13 (=> @t40 (= @t119 (forall @t95 (not (and @t280 (tptp.in @t41 @t107) @t176 @t295 (not @t284)))))))) % 5.22/5.49 (assume @p239 (forall @t6 (= (tptp.subset @t1 @t296) (or @t132 (= @t1 @t296))))) % 5.22/5.49 (assume @p240 (forall @t6 (=> @t5 (tptp.subset @t1 @t297)))) % 5.22/5.49 (assume @p241 (forall @t122 (= (tptp.in @t206 (tptp.cartesian_product2 @t41 @t76)) (and @t298 (tptp.in @t2 @t76))))) % 5.22/5.49 (assume @p242 (forall @t6 (=> @t180 @t299))) % 5.22/5.49 (assume @p243 (forall @t45 (=> @t217 (= @t301 (and (tptp.in @t2 @t194) @t3))))) % 5.22/5.49 (assume @p244 (exists @t13 (and @t167 @t38 @t37 @t32 @t46))) % 5.22/5.49 (assume @p245 (exists @t13 (and @t167 @t33))) % 5.22/5.49 (assume @p246 (exists @t13 @t103)) % 5.22/5.49 (assume @p247 (forall @t6 (exists @t106 (and @t151 @t42 @t197 @t131)))) % 5.22/5.49 (assume @p248 (exists @t13 (and @t167 @t12 @t15 @t17 @t19 @t21))) % 5.22/5.49 (assume @p249 (exists @t13 @t52)) % 5.22/5.49 (assume @p250 (exists @t13 (and @t38 @t37 @t32 @t203))) % 5.22/5.49 (assume @p251 (exists @t13 (and @t40 @t36 @t49 @t22))) % 5.22/5.49 (assume @p252 (exists @t13 (and @t22 @t40))) % 5.22/5.49 (assume @p253 (forall @t13 (=> @t167 (exists @t11 (and @t25 @t231))))) % 5.22/5.49 (assume @p254 (exists @t13 @t22)) % 5.22/5.49 (assume @p255 (forall @t13 (exists @t11 (and @t25 @t166 @t84 @t125 @t302 @t31 @t30 @t29 @t20 @t48)))) % 5.22/5.49 (assume @p256 (exists @t13 @t51)) % 5.22/5.49 (assume @p257 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 5.22/5.49 (assume @p258 (forall @t6 (exists @t106 (and @t151 @t42 @t197)))) % 5.22/5.49 (assume @p259 (exists @t13 @t278)) % 5.22/5.49 (assume @p260 (forall @t13 (exists @t11 (and @t25 @t166)))) % 5.22/5.49 (assume @p261 (exists @t13 @t167)) % 5.22/5.49 (assume @p262 (forall @t13 (=> @t167 (exists @t11 (and @t25 @t231 @t48))))) % 5.22/5.49 (assume @p263 (exists @t13 @t50)) % 5.22/5.49 (assume @p264 (exists @t13 (and @t167 @t38 @t37 @t32))) % 5.22/5.49 (assume @p265 (exists @t13 @t253)) % 5.22/5.49 (assume @p266 (exists @t13 (and @t164 @t63))) % 5.22/5.49 (assume @p267 (exists @t13 (and @t40 @t252 @t36))) % 5.22/5.49 (assume @p268 (forall @t13 (=> @t258 (exists @t11 (and @t116 @t231))))) % 5.22/5.49 (assume @p269 (forall @t13 (=> @t276 (exists @t11 (and @t116 @t210))))) % 5.22/5.49 (assume @p270 (forall @t233 (=> @t232 (= @t229 (tptp.apply_binary @t76 @t88 @t170))))) % 5.22/5.49 (assume @p271 (forall @t45 (=> @t64 (= @t56 @t137)))) % 5.22/5.49 (assume @p272 (forall @t45 (=> @t70 (= @t67 @t161)))) % 5.22/5.49 (assume @p273 (forall @t45 (=> @t151 (= @t134 @t194)))) % 5.22/5.49 (assume @p274 (forall @t45 (=> @t151 (= @t238 @t193)))) % 5.22/5.49 (assume @p275 (forall @t6 (=> @t226 (= @t239 @t297)))) % 5.22/5.49 (assume @p276 (forall @t45 (=> @t73 (= @t71 @t303)))) % 5.22/5.49 (assume @p277 (forall @t6 (=> @t226 (= @t241 (tptp.set_meet @t2))))) % 5.22/5.49 (assume @p278 (forall @t45 (=> @t73 (= @t242 @t304)))) % 5.22/5.49 (assume @p279 (forall @t45 (= @t135 @t151))) % 5.22/5.49 (assume @p280 (forall @t6 (=> @t75 (= @t74 @t86)))) % 5.22/5.49 (assume @p281 (forall @t6 (= @t198 (tptp.are_equipotent @t1 @t2)))) % 5.22/5.49 (assume @p282 (forall @t6 (=> @t75 (tptp.ordinal_subset @t1 @t1)))) % 5.22/5.49 (assume @p283 (forall @t6 (tptp.subset @t1 @t1))) % 5.22/5.49 (assume @p284 (forall @t6 (tptp.equipotent @t1 @t1))) % 5.22/5.49 (assume @p285 (forall @t6 (=> @t322 (=> @t321 (exists @t106 (and @t42 @t197 (forall @t93 (= @t92 (and @t154 @t154 (exists @t309 (and (= @t76 @t306) (tptp.in @t88 @t306) (forall @t308 (=> @t307 (tptp.in (tptp.ordered_pair @t88 @t305) @t2)))))))))))))) % 5.22/5.49 (assume @p286 (forall @t13 (=> @t325 (exists @t11 (and @t84 @t125 (forall @t81 (= @t80 (and @t78 @t78 (= @t76 @t285))))))))) % 5.22/5.49 (assume @p287 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t106 (=> @t326 (=> @t78 (tptp.ordinal_subset @t2 @t41))))))))) % 5.22/5.49 (assume @p288 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t350)) (not (and @t155 (forall @t11 (not (and @t3 (forall @t106 (=> (and @t78 @t349) (= @t41 @t2))))))))))) (forall @t100 (=> @t333 (=> @t348 (=> (tptp.in @t347 tptp.omega) (forall @t315 (=> (tptp.element @t312 (tptp.powerset (tptp.powerset @t347))) (not (and (not (= @t312 tptp.empty_set)) (forall @t314 (not (and @t313 (forall @t309 (=> (and (tptp.in @t306 @t312) (tptp.subset @t311 @t306)) (= @t306 @t311)))))))))))))) (forall @t100 (=> @t333 (=> (and (tptp.being_limit_ordinal @t76) (forall @t308 (=> (tptp.ordinal @t305) (=> (tptp.in @t305 @t76) (=> (tptp.in @t305 tptp.omega) (forall @t346 (=> (tptp.element @t342 (tptp.powerset (tptp.powerset @t305))) (not (and (not (= @t342 tptp.empty_set)) (forall @t345 (not (and @t344 (forall @t343 (=> (and (tptp.in @t341 @t342) (tptp.subset @t340 @t341)) (= @t341 @t340))))))))))))))) (or (= @t76 tptp.empty_set) (=> @t332 (forall @t339 (=> (tptp.element @t336 @t330) (not (and (not (= @t336 tptp.empty_set)) (forall @t338 (not (and (tptp.in @t334 @t336) (forall @t337 (=> (and (tptp.in @t335 @t336) (tptp.subset @t334 @t335)) (= @t335 @t334)))))))))))))))) (forall @t100 (=> @t333 (=> @t332 (forall @t331 (=> (tptp.element @t329 @t330) (not (and (not (= @t329 tptp.empty_set)) (forall (@list @t327) (not (and (tptp.in @t327 @t329) (forall (@list @t328) (=> (and (tptp.in @t328 @t329) (tptp.subset @t327 @t328)) (= @t328 @t327))))))))))))))) % 5.22/5.49 (assume @p289 (forall @t45 (=> @t354 (exists @t100 (and @t353 (forall @t173 (= (tptp.in @t171 @t76) (and @t104 @t352 (tptp.in (tptp.ordered_pair @t214 @t351) @t2))))))))) % 5.22/5.49 (assume @p290 (forall @t6 (=> @t322 (=> @t321 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t104 @t104 (exists @t309 (and (= @t88 @t306) @t356 @t355))))))))))) % 5.22/5.49 (assume @p291 (forall @t6 (=> @t322 (forall @t106 (=> (forall @t367 (=> (and @t310 (exists @t366 (and (= @t365 @t88) @t364 (exists @t314 (and (= @t317 @t311) (tptp.in @t312 @t311) (forall @t309 (=> @t363 (tptp.in (tptp.ordered_pair @t312 @t306) @t2))))))) @t362 (exists @t361 (and (= @t360 @t170) (tptp.in @t305 @t1) (exists @t345 (and (= @t305 @t340) (tptp.in @t342 @t340) (forall @t343 (=> (tptp.in @t341 @t340) (tptp.in (tptp.ordered_pair @t342 @t341) @t2)))))))) @t359)) (exists @t100 (forall @t98 (= @t121 (exists @t221 (and (tptp.in @t170 @t358) @t357 (exists (@list @t336 @t334) (and (= (tptp.ordered_pair @t336 @t334) @t88) (tptp.in @t336 @t1) (exists @t337 (and (= @t336 @t335) (tptp.in @t334 @t335) (forall @t331 (=> (tptp.in @t329 @t335) (tptp.in (tptp.ordered_pair @t334 @t329) @t2))))))))))))))))) % 5.22/5.49 (assume @p292 (forall @t13 (=> @t325 (exists @t11 (forall @t106 (= @t149 (exists @t100 (and @t154 @t154 (= @t41 (tptp.singleton @t76)))))))))) % 5.22/5.49 (assume @p293 (forall @t6 (=> (forall @t223 (=> (and @t77 (exists @t372 (and (= @t371 @t76) @t352 (= @t317 (tptp.singleton @t170)))) @t370 (exists (@list @t312 @t311) (and (= (tptp.ordered_pair @t312 @t311) @t88) @t369 (= @t311 (tptp.singleton @t312))))) @t310)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t43) @t368 (exists (@list @t306 @t305) (and (= (tptp.ordered_pair @t306 @t305) @t76) (tptp.in @t306 @t1) (= @t305 (tptp.singleton @t306)))))))))))) % 5.22/5.49 (assume @p294 (forall @t13 (=> @t32 (=> (forall @t129 (=> (and @t139 (exists @t98 (and @t375 @t370 (=> (tptp.in @t88 tptp.omega) (forall @t221 (=> (tptp.element @t170 (tptp.powerset (tptp.powerset @t88))) @t374))))) @t162 (exists @t314 (and (tptp.ordinal @t311) (= @t76 @t311) (=> (tptp.in @t311 tptp.omega) (forall @t309 (=> (tptp.element @t306 (tptp.powerset (tptp.powerset @t311))) (not (and (not (= @t306 tptp.empty_set)) (forall @t308 (not (and @t307 (forall @t346 (=> (and (tptp.in @t342 @t306) (tptp.subset @t305 @t342)) (= @t342 @t305)))))))))))))) @t77)) (exists @t11 (forall @t106 (= @t149 (exists @t100 (and (tptp.in @t76 @t143) @t373 (exists @t345 (and (tptp.ordinal @t340) (= @t41 @t340) (=> (tptp.in @t340 tptp.omega) (forall @t343 (=> (tptp.element @t341 (tptp.powerset (tptp.powerset @t340))) (not (and (not (= @t341 tptp.empty_set)) (forall @t339 (not (and (tptp.in @t336 @t341) (forall @t338 (=> (and (tptp.in @t334 @t341) (tptp.subset @t336 @t334)) (= @t334 @t336)))))))))))))))))))))) % 5.22/5.49 (assume @p295 (forall @t6 (=> @t378 (=> (forall @t223 (=> (and @t77 (exists @t221 (and (tptp.element @t170 @t112) (= @t170 @t76) (tptp.closed_subset @t170 @t1) @t376)) @t370 (exists @t319 (and (tptp.element @t317 @t112) (= @t317 @t88) (tptp.closed_subset @t317 @t1) (tptp.subset @t2 @t88)))) @t310)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t377 @t368 (exists @t315 (and (tptp.element @t312 @t112) (= @t312 @t76) (tptp.closed_subset @t312 @t1) @t376))))))))))) % 5.22/5.49 (assume @p296 (forall @t6 (=> @t380 (=> (forall @t223 (=> (and @t77 @t379 @t370 (tptp.in (tptp.set_difference @t179 @t88) @t2)) @t310)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t377 @t368 @t379))))))))) % 5.22/5.49 (assume @p297 (forall @t6 (=> @t381 (=> (forall @t223 (=> (and @t77 (exists @t221 (and @t172 (= @t76 (tptp.set_difference @t170 @t142)))) @t370 (exists @t319 (and (tptp.in @t317 @t2) (= @t88 (tptp.set_difference @t317 @t142))))) @t310)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t24) @t368 (exists @t315 (and (tptp.in @t312 @t2) (= @t76 (tptp.set_difference @t312 @t142))))))))))))) % 5.22/5.49 (assume @p298 (forall @t45 (=> @t354 (=> (forall @t367 (=> (and @t310 (exists @t366 (and (= @t88 @t365) (tptp.in (tptp.ordered_pair @t383 (tptp.apply @t41 @t312)) @t2))) @t362 (exists (@list @t311 @t306) (and (= @t170 (tptp.ordered_pair @t311 @t306)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t311) (tptp.apply @t41 @t306)) @t2)))) @t359)) (exists @t100 (forall @t98 (= @t121 (exists @t221 (and (tptp.in @t170 @t382) @t357 (exists @t361 (and (= @t88 @t360) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t305) (tptp.apply @t41 @t342)) @t2)))))))))))) % 5.22/5.49 (assume @p299 (forall @t13 (=> (forall @t129 (=> (and @t139 @t326 @t162 @t333) @t77)) (exists @t11 (forall @t106 (= @t149 (exists @t100 (and @t154 @t373 @t326)))))))) % 5.22/5.49 (assume @p300 (forall @t45 (=> @t386 (=> (forall @t367 (=> (and @t310 @t384 @t362 (tptp.in (tptp.relation_image @t41 @t170) @t2)) @t359)) (exists @t100 (forall @t98 (= @t121 (exists @t221 (and (tptp.in @t170 @t385) @t357 @t384))))))))) % 5.22/5.49 (assume @p301 (forall @t6 (=> @t29 (=> (forall @t223 (=> (and @t77 (exists @t221 (and (tptp.ordinal @t170) @t362 @t352)) @t370 (exists @t319 (and (tptp.ordinal @t317) (= @t88 @t317) @t364))) @t310)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t387) @t368 (exists @t315 (and (tptp.ordinal @t312) (= @t76 @t312) @t369))))))))))) % 5.22/5.49 (assume @p302 (forall @t6 (=> @t322 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t358) (exists @t372 (and (= @t371 @t88) @t352 (exists @t315 (and (= @t170 @t312) (tptp.in @t317 @t312) (forall @t314 (=> @t313 (tptp.in (tptp.ordered_pair @t317 @t311) @t2))))))))))))))) % 5.22/5.49 (assume @p303 (forall @t6 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t43) (exists @t173 (and (= @t171 @t76) @t104 (= @t170 (tptp.singleton @t88)))))))))) % 5.22/5.49 (assume @p304 (forall @t13 (=> @t32 (exists @t11 (forall @t106 (= @t149 (and (tptp.in @t41 @t143) (exists @t100 (and @t333 @t77 @t348))))))))) % 5.22/5.49 (assume @p305 (forall @t6 (=> @t378 (exists @t106 (forall @t100 (= @t99 (and @t389 @t388))))))) % 5.22/5.49 (assume @p306 (forall @t6 (=> @t380 (exists @t106 (forall @t100 (= @t99 (and @t389 @t379))))))) % 5.22/5.49 (assume @p307 (forall @t6 (=> @t381 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t24) (exists @t98 (and @t96 (= @t76 (tptp.set_difference @t88 @t142))))))))))) % 5.22/5.49 (assume @p308 (forall @t45 (=> @t354 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t382) (exists @t372 (and (= @t88 @t371) (tptp.in (tptp.ordered_pair @t351 @t383) @t2)))))))))) % 5.22/5.49 (assume @p309 (forall @t13 (exists @t11 (forall @t106 (= @t149 (and @t78 @t326)))))) % 5.22/5.49 (assume @p310 (forall @t45 (=> @t386 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t385) @t384))))))) % 5.22/5.49 (assume @p311 (forall @t6 (=> @t29 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t387) (exists @t98 (and @t375 @t310 @t104))))))))) % 5.22/5.49 (assume @p312 (forall @t6 (=> @t322 (=> (and (forall @t223 (=> (and @t78 @t320 @t316) @t310)) (forall @t106 (not (and @t78 (forall @t100 (not (exists @t309 (and (= @t41 @t306) @t356 @t355)))))))) (exists @t106 (and @t42 @t197 @t195 (forall @t100 (=> @t154 (exists @t346 (and (= @t76 @t342) (tptp.in @t215 @t342) (forall @t345 (=> @t344 (tptp.in (tptp.ordered_pair @t215 @t340) @t2))))))))))))) % 5.22/5.49 (assume @p313 (forall @t13 (=> (and (forall @t129 (=> (and @t3 @t324 @t323) @t77)) (forall @t11 (not (and @t3 (forall @t106 (not @t324)))))) @t392))) % 5.22/5.49 (assume @p314 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t106 (=> (tptp.element @t41 (tptp.powerset @t237)) (not (and @t181 (forall @t100 (not (and @t99 (forall @t98 (=> (and (tptp.in @t88 @t41) (tptp.subset @t76 @t88)) @t368))))))))))))) (=> @t393 (forall @t221 (=> (tptp.element @t170 @t225) @t374)))))) (forall @t13 (=> @t32 (=> @t393 (forall @t314 (=> (tptp.element @t311 @t225) (not (and (not (= @t311 tptp.empty_set)) (forall @t309 (not (and @t363 (forall @t308 (=> (and (tptp.in @t305 @t311) (tptp.subset @t306 @t305)) (= @t305 @t306))))))))))))))) % 5.22/5.49 (assume @p315 (forall @t13 @t392)) % 5.22/5.49 (assume @p316 (forall @t6 (=> @t378 (exists @t106 (and @t395 (forall @t100 (=> @t394 (= @t99 @t388)))))))) % 5.22/5.49 (assume @p317 (forall @t6 (=> @t380 (exists @t106 (and @t395 (forall @t100 (=> @t394 (= @t99 @t379)))))))) % 5.22/5.49 (assume @p318 (forall @t6 (=> @t218 (tptp.disjoint @t2 @t1)))) % 5.22/5.49 (assume @p319 (forall @t6 (=> @t198 (tptp.equipotent @t2 @t1)))) % 5.22/5.49 (assume @p320 (forall @t13 (tptp.in @t1 @t143))) % 5.22/5.49 (assume @p321 (forall @t122 (not (and (= @t53 (tptp.unordered_pair @t41 @t76)) (not @t396) (not (= @t1 @t76)))))) % 5.22/5.49 (assume @p322 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t193)))))) % 5.22/5.49 (assume @p323 (forall @t6 (=> @t84 (tptp.subset @t397 @t1)))) % 5.22/5.49 (assume @p324 (forall @t6 (=> @t84 (tptp.subset @t105 @t2)))) % 5.22/5.49 (assume @p325 (forall @t6 (=> @t84 (tptp.subset @t397 @t124)))) % 5.22/5.49 (assume @p326 (forall @t45 (=> @t86 (and (tptp.subset @t358 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 5.22/5.49 (assume @p327 (forall @t6 (=> @t84 (= @t397 (tptp.set_intersection2 @t124 @t1))))) % 5.22/5.49 (assume @p328 (forall @t122 (=> (and @t86 @t157) (tptp.subset @t358 (tptp.cartesian_product2 @t2 @t76))))) % 5.22/5.49 (assume @p329 (forall @t45 (=> @t135 (and (tptp.subset @t194 @t1) (tptp.subset @t193 @t2))))) % 5.22/5.49 (assume @p330 (forall @t6 (=> @t86 (= @t55 @t2)))) % 5.22/5.49 (assume @p331 (forall @t13 (exists @t11 (and @t5 @t400 (forall @t106 (=> @t149 (tptp.in @t399 @t2))) @t398)))) % 5.22/5.49 (assume @p332 (forall @t6 (=> (and @t86 @t48) @t33))) % 5.22/5.49 (assume @p333 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t401))))) % 5.22/5.49 (assume @p334 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t100 (and (tptp.in @t76 @t194) (tptp.in (tptp.ordered_pair @t76 @t1) @t41) @t91)))))) % 5.22/5.49 (assume @p335 (forall @t6 (=> @t84 (tptp.subset @t402 @t124)))) % 5.22/5.49 (assume @p336 (forall @t6 (=> @t275 (tptp.subset @t404 @t1)))) % 5.22/5.49 (assume @p337 (forall @t6 (=> @t84 (= @t402 (tptp.relation_image @t2 @t405))))) % 5.22/5.49 (assume @p338 (forall @t6 (=> @t84 (=> (tptp.subset @t1 @t123) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t402)))))) % 5.22/5.49 (assume @p339 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t97) @t201)))) % 5.22/5.49 (assume @p340 (forall @t6 (=> @t275 (=> @t406 (= @t404 @t1))))) % 5.22/5.49 (assume @p341 (forall @t122 (=> @t409 (=> (tptp.subset @t408 @t2) @t407)))) % 5.22/5.49 (assume @p342 (forall @t13 (=> @t164 (forall @t11 (=> @t116 (= (tptp.subset_intersection2 @t57 @t2 @t179) @t2)))))) % 5.22/5.49 (assume @p343 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t410 (tptp.relation_image @t2 @t201))))))) % 5.22/5.49 (assume @p344 (forall @t45 (=> @t42 (= (tptp.in @t1 @t411) (exists @t100 (and (tptp.in @t76 @t193) (tptp.in (tptp.ordered_pair @t1 @t76) @t41) @t91)))))) % 5.22/5.49 (assume @p345 (forall @t6 (=> @t84 (tptp.subset @t403 @t123)))) % 5.22/5.49 (assume @p346 (forall @t122 (=> @t409 (=> @t86 @t407)))) % 5.22/5.49 (assume @p347 (forall @t45 (=> @t42 (= (tptp.in @t1 @t412) (and @t298 (tptp.in @t1 @t211)))))) % 5.22/5.49 (assume @p348 (forall @t6 (=> @t84 (not (and @t155 @t406 (= @t403 tptp.empty_set)))))) % 5.22/5.49 (assume @p349 (forall @t45 (=> @t42 (=> @t86 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t411))))) % 5.22/5.49 (assume @p350 (forall @t6 (=> @t275 (=> @t33 (tptp.finite @t402))))) % 5.22/5.49 (assume @p351 (forall @t13 (=> @t164 (forall @t11 (=> @t116 (= @t286 @t209)))))) % 5.22/5.49 (assume @p352 (forall @t6 (=> @t84 (= @t413 (tptp.relation_dom_restriction @t105 @t1))))) % 5.22/5.49 (assume @p353 (forall @t6 (tptp.subset @t66 @t1))) % 5.22/5.49 (assume @p354 (forall @t13 (=> @t33 (forall @t11 (=> @t226 (not (and @t168 (forall @t106 (not (and @t149 (forall @t100 (=> (and @t91 @t157) @t373)))))))))))) % 5.22/5.49 (assume @p355 (forall @t6 (=> @t84 (= @t413 (tptp.relation_rng_restriction @t1 @t414))))) % 5.22/5.49 (assume @p356 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t412)) (and @t416 @t5))))) % 5.22/5.49 (assume @p357 (forall @t45 (=> (and @t86 @t417) (tptp.subset @t1 @t303)))) % 5.22/5.49 (assume @p358 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 5.22/5.49 (assume @p359 (forall @t6 (=> @t5 @t418))) % 5.22/5.49 (assume @p360 (forall @t45 (=> (and @t86 @t349) @t417))) % 5.22/5.49 (assume @p361 (= @t350 (tptp.singleton tptp.empty_set))) % 5.22/5.49 (assume @p362 (forall @t45 (=> @t42 (=> @t420 (and @t419 (tptp.in @t2 @t193)))))) % 5.22/5.49 (assume @p363 (forall @t6 (=> @t84 (and (tptp.subset @t421 @t158) (tptp.subset @t421 @t1))))) % 5.22/5.49 (assume @p364 (forall @t6 (=> @t275 (forall @t106 (=> @t217 (= @t424 (and @t419 (tptp.in @t422 @t123)))))))) % 5.22/5.49 (assume @p365 (forall @t122 (=> @t426 (forall @t98 (=> (and (tptp.relation @t88) (tptp.function @t88)) (=> @t78 (or @t133 (= (tptp.apply (tptp.relation_composition @t76 @t88) @t41) (tptp.apply @t88 @t425))))))))) % 5.22/5.49 (assume @p366 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 5.22/5.49 (assume @p367 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t97 @t201))))) % 5.22/5.49 (assume @p368 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 5.22/5.49 (assume @p369 (forall @t6 (=> @t275 (forall @t106 (=> @t217 (=> @t424 (= (tptp.apply @t423 @t1) (tptp.apply @t2 @t422)))))))) % 5.22/5.49 (assume @p370 (forall @t13 (=> @t164 (forall @t11 (=> @t116 (= (tptp.subset_difference @t57 @t179 @t209) @t2)))))) % 5.22/5.49 (assume @p371 (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))))) % 5.22/5.49 (assume @p372 (forall @t6 (=> @t84 (=> @t427 (tptp.reflexive @t413))))) % 5.22/5.49 (assume @p373 (forall @t6 (=> @t275 (forall @t106 (=> @t217 (=> (tptp.in @t1 @t123) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 5.22/5.49 (assume @p374 (forall @t13 (=> (and @t63 @t69 @t219 @t220) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (tptp.below @t1 @t67 @t2)))))))) % 5.22/5.49 (assume @p375 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 5.22/5.49 (assume @p376 (forall @t45 (=> @t135 (= (forall @t100 (not (and @t91 (forall @t98 (not (tptp.in @t118 @t41)))))) (= @t238 @t2))))) % 5.22/5.49 (assume @p377 (forall @t6 (=> @t84 (=> @t428 (tptp.connected @t413))))) % 5.22/5.49 (assume @p378 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t282 @t227 @t4))))))) % 5.22/5.49 (assume @p379 (forall @t6 (=> @t84 (=> @t429 (tptp.transitive @t413))))) % 5.22/5.49 (assume @p380 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> @t86 (and (tptp.subset @t97 @t123) (tptp.subset @t201 @t124)))))))) % 5.22/5.49 (assume @p381 (forall @t6 (=> @t84 (=> @t430 (tptp.antisymmetric @t413))))) % 5.22/5.49 (assume @p382 (forall @t6 (=> @t84 (=> @t433 (and @t432 @t431))))) % 5.22/5.49 (assume @p383 (forall @t13 (=> @t103 (=> (tptp.finite @t97) (tptp.finite @t201))))) % 5.22/5.49 (assume @p384 (forall @t13 (=> (and @t63 @t61 @t60) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t174 (tptp.below @t1 @t41 @t2)) @t139)))))))) % 5.22/5.49 (assume @p385 (forall @t13 (exists @t11 (and @t84 @t433)))) % 5.22/5.49 (assume @p386 (forall @t45 (=> @t86 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t303)))) % 5.22/5.49 (assume @p387 (forall @t13 (=> @t167 (not (and (forall @t11 (not (and @t3 @t133))) (forall @t11 (=> @t275 (not (and @t391 (forall @t106 (=> @t78 (tptp.in @t390 @t41)))))))))))) % 5.22/5.49 (assume @p388 (forall @t6 (=> @t86 (= @t66 @t1)))) % 5.22/5.49 (assume @p389 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t210 (tptp.open_subset @t286 @t1))))))) % 5.22/5.49 (assume @p390 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 5.22/5.49 (assume @p391 (forall @t6 (=> @t418 (or @t166 @t5)))) % 5.22/5.49 (assume @p392 (forall @t6 (=> (forall @t106 (= @t78 @t149)) @t87))) % 5.22/5.49 (assume @p393 (forall @t13 (tptp.reflexive @t159))) % 5.22/5.49 (assume @p394 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 5.22/5.49 (assume @p395 (forall @t45 (=> @t42 (=> @t420 (and @t416 (tptp.in @t2 @t415)))))) % 5.22/5.49 (assume @p396 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t204 (tptp.closed_subset @t286 @t1))))))) % 5.22/5.49 (assume @p397 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t85))) @t32))) % 5.22/5.49 (assume @p398 (forall @t6 (=> @t84 (=> @t434 (tptp.well_founded_relation @t413))))) % 5.22/5.49 (assume @p399 (forall @t6 (=> @t29 (not (and @t86 @t155 (forall @t106 (=> @t326 (not (and @t78 (forall @t100 (=> @t333 (=> @t154 (tptp.ordinal_subset @t41 @t76))))))))))))) % 5.22/5.49 (assume @p400 (forall @t6 (=> @t84 (=> @t283 @t431)))) % 5.22/5.49 (assume @p401 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t143 @t2))))))) % 5.22/5.49 (assume @p402 (forall @t45 (=> @t86 (tptp.subset (tptp.set_difference @t1 @t41) @t304)))) % 5.22/5.49 (assume @p403 (forall @t122 (=> (= @t206 @t79) (and @t396 @t162)))) % 5.22/5.49 (assume @p404 (forall @t6 (=> @t275 (= @t83 (and @t391 (forall @t106 (=> @t78 (= @t390 @t41)))))))) % 5.22/5.49 (assume @p405 (forall @t6 (=> @t3 (= (tptp.apply @t82 @t2) @t2)))) % 5.22/5.49 (assume @p406 (forall @t6 (tptp.subset @t199 @t1))) % 5.22/5.49 (assume @p407 (forall @t13 (=> @t40 (and (= @t201 (tptp.relation_dom @t213)) (= @t97 (tptp.relation_rng @t213)))))) % 5.22/5.49 (assume @p408 (forall @t45 (= (tptp.subset @t53 @t41) (and @t298 @t177)))) % 5.22/5.49 (assume @p409 (forall @t6 (=> @t84 (=> (and @t283 (tptp.subset @t1 @t158)) @t432)))) % 5.22/5.49 (assume @p410 (forall @t6 (= @t435 @t55))) % 5.22/5.49 (assume @p411 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 5.22/5.49 (assume @p412 (forall @t45 (not (and @t5 @t177 @t78)))) % 5.22/5.49 (assume @p413 (forall @t6 (= @t299 @t86))) % 5.22/5.49 (assume @p414 (forall @t13 (tptp.transitive @t159))) % 5.22/5.49 (assume @p415 (forall @t6 (and (not (and @t437 (forall @t106 (not @t436)))) (not (and (exists @t106 @t436) @t218))))) % 5.22/5.49 (assume @p416 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t132))) % 5.22/5.49 (assume @p417 (forall @t6 (= (tptp.set_difference @t55 @t2) @t199))) % 5.22/5.49 (assume @p418 (forall @t13 (=> @t32 (= @t203 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t387 @t1)))))))) % 5.22/5.49 (assume @p419 (forall @t13 (=> @t32 (and (not (and (not @t203) (forall @t11 (=> @t29 (not @t438))))) (not (and (exists @t11 (and @t29 @t438)) @t203)))))) % 5.22/5.49 (assume @p420 (forall @t6 (=> @t25 (forall @t106 (=> @t72 (= @t440 (tptp.subset @t2 @t439))))))) % 5.22/5.49 (assume @p421 (forall @t13 (=> @t276 (forall @t11 (=> @t147 (=> (forall @t106 (=> @t115 (=> @t149 (tptp.closed_subset @t41 @t1)))) (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1))))))) % 5.22/5.49 (assume @p422 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t441 @t97)))))) % 5.22/5.49 (assume @p423 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t114) (forall @t100 (=> @t394 (=> @t442 @t153))))))))))) % 5.22/5.49 (assume @p424 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t410 @t124)))))) % 5.22/5.49 (assume @p425 (forall @t6 (=> @t86 (= @t2 @t435)))) % 5.22/5.49 (assume @p426 (forall @t122 (=> @t426 (=> @t168 (forall @t98 (= (tptp.in @t88 (tptp.relation_inverse_image @t76 @t41)) (and @t104 (tptp.in (tptp.apply @t76 @t88) @t41)))))))) % 5.22/5.49 (assume @p427 (forall @t13 (=> @t276 (forall @t11 (=> @t116 (exists @t106 (and @t395 (forall @t100 (=> @t394 (= @t99 @t442))) (= @t114 (tptp.meet_of_subsets @t57 @t41))))))))) % 5.22/5.49 (assume @p428 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t201 @t123) (= @t441 @t97))))))) % 5.22/5.49 (assume @p429 (forall @t6 (=> @t226 (not (and @t168 (= @t224 tptp.empty_set)))))) % 5.22/5.49 (assume @p430 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t97 @t124) (= (tptp.relation_rng @t247) @t201))))))) % 5.22/5.49 (assume @p431 (forall @t6 (=> @t226 (=> @t168 (= (tptp.subset_difference @t1 @t189 @t239) (tptp.meet_of_subsets @t1 @t224)))))) % 5.22/5.49 (assume @p432 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t2 @t114)))))) % 5.22/5.49 (assume @p433 (forall @t6 (=> @t226 (=> @t168 (= (tptp.union_of_subsets @t1 @t224) (tptp.subset_difference @t1 @t189 @t241)))))) % 5.22/5.49 (assume @p434 (forall @t6 (= (tptp.set_difference @t1 @t199) @t66))) % 5.22/5.49 (assume @p435 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t217 (=> @t216 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 5.22/5.49 (assume @p436 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 5.22/5.49 (assume @p437 (forall @t45 (=> (and @t5 @t443) (tptp.element @t1 @t41)))) % 5.22/5.49 (assume @p438 (forall @t13 (=> @t32 (tptp.connected @t159)))) % 5.22/5.49 (assume @p439 (forall @t6 (and (not (and @t437 (forall @t106 (not @t444)))) (not (and (exists @t106 @t444) @t218))))) % 5.22/5.49 (assume @p440 @t452) % 5.22/5.49 (assume @p441 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (and (=> @t210 @t453) (=> (and @t148 @t453) @t210))))))) % 5.22/5.49 (assume @p442 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t217 (=> @t216 (and (=> @t191 @t427) (=> @t120 @t429) (=> @t119 @t428) (=> @t108 @t430) (=> @t169 @t434)))))))))) % 5.22/5.49 (assume @p443 (forall @t13 (=> @t103 (=> @t49 (forall @t11 (=> @t275 (= (= @t2 @t228) (and (= @t123 @t201) (forall @t81 (and (=> @t454 @t200) (=> @t200 @t454))))))))))) % 5.22/5.49 (assume @p444 @t457) % 5.22/5.49 (assume @p445 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t217 (=> (and @t192 @t216) @t283)))))))) % 5.22/5.49 (assume @p446 (forall @t13 (=> @t103 (=> @t49 (and (= @t201 (tptp.relation_dom @t228)) (= @t97 (tptp.relation_rng @t228))))))) % 5.22/5.49 (assume @p447 (forall @t13 (=> @t40 (=> (forall @t95 @t295) @t132)))) % 5.22/5.49 (assume @p448 (forall @t6 (=> @t275 (=> (and @t302 (tptp.in @t1 @t124)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t458 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t458 @t2) @t1))))))) % 5.22/5.49 (assume @p449 (forall @t45 (not (and @t5 @t443 (tptp.empty @t41))))) % 5.22/5.49 (assume @p450 (forall @t13 (=> @t40 (= @t169 (tptp.is_well_founded_in @t1 @t107))))) % 5.22/5.49 (assume @p451 (forall @t13 (tptp.antisymmetric @t159))) % 5.22/5.49 (assume @p452 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 5.22/5.49 (assume @p453 (forall @t6 (not (and @t86 @t7)))) % 5.22/5.49 (assume @p454 (forall @t13 (=> @t103 (=> @t49 (tptp.one_to_one @t228))))) % 5.22/5.49 (assume @p455 (forall @t45 (=> (and @t86 @t440) (tptp.disjoint @t1 @t41)))) % 5.22/5.49 (assume @p456 (forall @t13 (=> @t40 (=> (or @t460 @t459) @t132)))) % 5.22/5.49 (assume @p457 (forall @t13 (=> @t40 (= @t460 @t459)))) % 5.22/5.49 (assume @p458 (forall @t6 (= (= (tptp.set_difference @t1 @t296) @t1) @t4))) % 5.22/5.49 (assume @p459 (forall @t6 (=> @t275 (forall @t106 (=> @t217 (= (= @t2 @t300) (and (= @t123 (tptp.set_intersection2 @t194 @t1)) (forall @t100 (=> (tptp.in @t76 @t123) (= (tptp.apply @t2 @t76) @t215)))))))))) % 5.22/5.49 (assume @p460 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t142))) % 5.22/5.49 (assume @p461 (forall @t13 (=> @t22 @t132))) % 5.22/5.49 (assume @p462 (forall @t122 (=> @t426 (=> @t78 (or @t133 (tptp.in @t425 @t408)))))) % 5.22/5.49 (assume @p463 (forall @t13 (=> @t32 (tptp.well_founded_relation @t159)))) % 5.22/5.49 (assume @p464 (forall @t6 (=> (tptp.subset @t142 @t296) @t87))) % 5.22/5.49 (assume @p465 (forall @t45 (=> @t217 (=> @t301 @t461)))) % 5.22/5.49 (assume @p466 (forall @t13 (and (= (tptp.relation_dom @t82) @t1) (= (tptp.relation_rng @t82) @t1)))) % 5.22/5.49 (assume @p467 (forall @t45 (=> @t217 (=> @t3 @t461)))) % 5.22/5.49 (assume @p468 (forall @t122 (=> @t353 (= (tptp.in @t206 (tptp.relation_composition (tptp.identity_relation @t41) @t76)) (and @t298 (tptp.in @t206 @t76)))))) % 5.22/5.49 (assume @p469 (forall @t6 (not (and @t5 @t166)))) % 5.22/5.49 (assume @p470 (forall @t6 (and (= (tptp.pair_first @t206) @t1) (= (tptp.pair_second @t206) @t2)))) % 5.22/5.49 (assume @p471 (forall @t6 (not (and @t5 (forall @t106 (not (and @t149 (forall @t100 (not (and @t91 @t99)))))))))) % 5.22/5.49 (assume @p472 (forall @t13 (=> @t32 (tptp.well_ordering @t159)))) % 5.22/5.49 (assume @p473 (forall @t6 (tptp.subset @t1 @t55))) % 5.22/5.49 (assume @p474 (forall @t6 (= @t218 (= @t199 @t1)))) % 5.22/5.49 (assume @p475 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t401)) (and @t5 @t419))))) % 5.22/5.49 (assume @p476 (forall @t6 (=> @t84 (tptp.subset @t414 @t2)))) % 5.22/5.49 (assume @p477 (forall @t6 (not (and @t22 @t227 @t166)))) % 5.22/5.49 (assume @p478 (forall @t45 (=> @t217 (= @t420 (and @t419 (= @t2 @t422)))))) % 5.22/5.49 (assume @p479 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t107) @t192)))) % 5.22/5.49 (assume @p480 (forall @t45 (=> (and @t86 @t182) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 5.22/5.49 (assume @p481 (forall @t45 (=> @t462 @t87))) % 5.22/5.49 (assume @p482 (forall @t6 (=> @t84 (= (tptp.relation_dom @t414) @t405)))) % 5.22/5.49 (assume @p483 (forall @t6 (=> @t84 (= @t414 (tptp.relation_composition @t82 @t2))))) % 5.22/5.49 (assume @p484 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_rng @t414) @t124)))) % 5.22/5.49 (assume @p485 (forall @t13 (= (tptp.union @t24) @t1))) % 5.22/5.49 (assume @p486 (forall @t122 (=> @t426 (=> @t349 (or (and @t133 @t155) (and @t230 (tptp.quasi_total @t76 @t1 @t41) (tptp.relation_of2_as_subset @t76 @t1 @t41))))))) % 5.22/5.49 (assume @p487 (forall @t13 (exists @t11 (and @t5 @t400 (forall @t106 (not (and @t149 (forall @t100 (not (and @t91 (forall @t98 (=> (tptp.subset @t88 @t41) @t121)))))))) @t398)))) % 5.22/5.49 (assume @p488 (forall @t45 (=> @t462 @t139))) % 5.22/5.49 (step @p489 :rule evaluate :args ((= false true))) % 5.22/5.49 (step @p490 :rule and_elim :premises (@p164) :args (0)) % 5.22/5.49 (step @p491 :rule true_intro :premises (@p490)) % 5.22/5.49 (step @p492 :rule aci_norm :args ((= @t471 @t469))) % 5.22/5.49 (step @p493 :rule cong :premises (@p492) :args (@t473)) % 5.22/5.49 (step @p494 :rule quant-merge-prenex :args ((= (forall @t13 @t475) @t473))) % 5.22/5.49 (step @p495 :rule alpha_equiv :args (@t476 (@list @t463 @t464) (@list @t2 @t477))) % 5.22/5.49 (step @p496 :rule refl :args (@t132)) % 5.22/5.49 (step @p497 :rule nary_cong :premises (@p496 @p495) :args (@t478)) % 5.22/5.49 (step @p498 :rule quant-miniscope-or :args ((= @t475 @t478))) % 5.22/5.49 (step @p499 :rule trans :premises (@p498 @p497)) % 5.22/5.49 (step @p500 :rule symm :premises (@p499)) % 5.22/5.49 (step @p501 :rule cong :premises (@p500) :args ((forall @t13 (or @t132 @t485)))) % 5.22/5.49 (step @p502 :rule trans :premises (@p501 @p494)) % 5.22/5.49 (step @p503 :rule trans :premises (@p502 @p493)) % 5.22/5.49 (step @p504 :rule refl :args (@t485)) % 5.22/5.49 (step @p505 :rule bool-double-not-elim :args (@t132)) % 5.22/5.49 (step @p506 :rule nary_cong :premises (@p505 @p504) :args ((or (not @t155) @t485))) % 5.22/5.49 (step @p507 :rule bool-impl-elim :args (@t155 @t485)) % 5.22/5.49 (step @p508 :rule trans :premises (@p507 @p506)) % 5.22/5.49 (step @p509 :rule cong :premises (@p508) :args ((forall @t13 (=> @t155 @t485)))) % 5.22/5.49 (step @p510 :rule trans :premises (@p509 @p503)) % 5.22/5.49 (step @p511 :rule aci_norm :args ((= @t487 @t483))) % 5.22/5.49 (step @p512 :rule cong :premises (@p511) :args (@t488)) % 5.22/5.49 (step @p513 :rule quant-merge-prenex :args ((= (forall @t11 @t490) @t488))) % 5.22/5.49 (step @p514 :rule alpha_equiv :args (@t491 (@list @t477) @t492)) % 5.22/5.49 (step @p515 :rule refl :args (@t482)) % 5.22/5.49 (step @p516 :rule nary_cong :premises (@p515 @p514) :args (@t493)) % 5.22/5.49 (step @p517 :rule quant-miniscope-or :args ((= @t490 @t493))) % 5.22/5.49 (step @p518 :rule trans :premises (@p517 @p516)) % 5.22/5.49 (step @p519 :rule symm :premises (@p518)) % 5.22/5.49 (step @p520 :rule cong :premises (@p519) :args ((forall @t11 (or @t482 @t496)))) % 5.22/5.49 (step @p521 :rule trans :premises (@p520 @p513)) % 5.22/5.49 (step @p522 :rule trans :premises (@p521 @p512)) % 5.22/5.49 (step @p523 :rule bool-impl-elim :args (@t25 @t496)) % 5.22/5.49 (step @p524 :rule cong :premises (@p523) :args ((forall @t11 (=> @t25 @t496)))) % 5.22/5.49 (step @p525 :rule trans :premises (@p524 @p522)) % 5.22/5.49 (step @p526 :rule aci_norm :args ((= (or @t494 (or @t149 @t445)) @t495))) % 5.22/5.49 (step @p527 :rule refl :args (@t445)) % 5.22/5.49 (step @p528 :rule bool-double-not-elim :args (@t149)) % 5.22/5.49 (step @p529 :rule nary_cong :premises (@p528 @p527) :args ((or (not @t175) @t445))) % 5.22/5.49 (step @p530 :rule bool-impl-elim :args (@t175 @t445)) % 5.22/5.49 (step @p531 :rule trans :premises (@p530 @p529)) % 5.22/5.49 (step @p532 :rule refl :args (@t494)) % 5.22/5.49 (step @p533 :rule nary_cong :premises (@p532 @p531) :args ((or @t494 @t446))) % 5.22/5.49 (step @p534 :rule trans :premises (@p533 @p526)) % 5.22/5.49 (step @p535 :rule bool-impl-elim :args (@t447 @t446)) % 5.22/5.49 (step @p536 :rule trans :premises (@p535 @p534)) % 5.22/5.49 (step @p537 :rule cong :premises (@p536) :args (@t448)) % 5.22/5.49 (step @p538 :rule refl :args (@t25)) % 5.22/5.49 (step @p539 :rule cong :premises (@p538 @p537) :args (@t449)) % 5.22/5.49 (step @p540 :rule cong :premises (@p539) :args (@t450)) % 5.22/5.49 (step @p541 :rule trans :premises (@p540 @p525)) % 5.22/5.49 (step @p542 :rule refl :args (@t155)) % 5.22/5.49 (step @p543 :rule cong :premises (@p542 @p541) :args (@t451)) % 5.22/5.49 (step @p544 :rule cong :premises (@p543) :args (@t452)) % 5.22/5.49 (step @p545 :rule trans :premises (@p544 @p510)) % 5.22/5.49 (step @p546 :rule eq_resolve :premises (@p440 @p545)) % 5.22/5.49 (step @p547 :rule refl :args (@t510)) % 5.22/5.49 (step @p548 :rule refl :args (@t511)) % 5.22/5.49 (step @p549 :rule refl :args (@t513)) % 5.22/5.49 (step @p550 :rule refl :args (@t515)) % 5.22/5.49 (step @p551 :rule eq-symm :args (@t508 tptp.empty_set)) % 5.22/5.49 (step @p552 :rule nary_cong :premises (@p551 @p550 @p549 @p548 @p547) :args (@t516)) % 5.22/5.49 (step @p553 :rule refl :args (@t517)) % 5.22/5.49 (step @p554 :rule cong :premises (@p553 @p552) :args ((=> @t517 @t516))) % 5.22/5.49 (assume-push @p687 @t517) % 5.22/5.49 (step @p556 :rule instantiate :premises (@p546) :args ((@list @t508 @t506 @t509))) % 5.22/5.49 (step-pop @p688 :rule scope :premises (@p556)) % 5.22/5.49 (step @p557 :rule process_scope :premises (@p688) :args (@t516)) % 5.22/5.49 (step @p559 :rule eq_resolve :premises (@p557 @p554)) % 5.22/5.49 (step @p560 :rule implies_elim :premises (@p559)) % 5.22/5.49 (step @p561 :rule chain_m_resolution :premises (@p560 @p546) :args (@t519 (@list false) (@list @t517))) % 5.22/5.49 (step @p562 :rule aci_norm :args ((= @t521 @t503))) % 5.22/5.49 (step @p563 :rule cong :premises (@p562) :args (@t522)) % 5.22/5.49 (step @p564 :rule quant-merge-prenex :args ((= (forall @t13 @t524) @t522))) % 5.22/5.49 (step @p565 :rule alpha_equiv :args (@t525 (@list @t497 @t498) (@list @t2 @t526))) % 5.22/5.49 (step @p566 :rule refl :args (@t502)) % 5.22/5.49 (step @p567 :rule refl :args (@t62)) % 5.22/5.49 (step @p568 :rule nary_cong :premises (@p567 @p566 @p565) :args (@t527)) % 5.22/5.49 (step @p569 :rule quant-miniscope-or :args ((= @t524 @t527))) % 5.22/5.49 (step @p570 :rule trans :premises (@p569 @p568)) % 5.22/5.49 (step @p571 :rule symm :premises (@p570)) % 5.22/5.49 (step @p572 :rule cong :premises (@p571) :args ((forall @t13 @t534))) % 5.22/5.49 (step @p573 :rule trans :premises (@p572 @p564)) % 5.22/5.49 (step @p574 :rule trans :premises (@p573 @p563)) % 5.22/5.49 (step @p575 :rule aci_norm :args ((= (or @t535 @t533) @t534))) % 5.22/5.49 (step @p576 :rule refl :args (@t533)) % 5.22/5.49 (step @p577 :rule bool-double-not-elim :args (@t62)) % 5.22/5.49 (step @p578 :rule nary_cong :premises (@p577 @p566) :args ((or (not @t63) @t502))) % 5.22/5.49 (step @p579 :rule bool-and-de-morgan :args (@t63 @t164 true)) % 5.22/5.49 (step @p580 :rule trans :premises (@p579 @p578)) % 5.22/5.49 (step @p581 :rule nary_cong :premises (@p580 @p576) :args ((or @t536 @t533))) % 5.22/5.49 (step @p582 :rule trans :premises (@p581 @p575)) % 5.22/5.49 (step @p583 :rule bool-impl-elim :args (@t258 @t533)) % 5.22/5.49 (step @p584 :rule trans :premises (@p583 @p582)) % 5.22/5.49 (step @p585 :rule cong :premises (@p584) :args ((forall @t13 (=> @t258 @t533)))) % 5.22/5.49 (step @p586 :rule trans :premises (@p585 @p574)) % 5.22/5.49 (step @p587 :rule aci_norm :args ((= @t538 @t531))) % 5.22/5.49 (step @p588 :rule cong :premises (@p587) :args (@t539)) % 5.22/5.49 (step @p589 :rule quant-merge-prenex :args ((= (forall @t11 @t541) @t539))) % 5.22/5.49 (step @p590 :rule alpha_equiv :args (@t542 (@list @t526) @t492)) % 5.22/5.49 (step @p591 :rule refl :args (@t530)) % 5.22/5.49 (step @p592 :rule nary_cong :premises (@p591 @p590) :args (@t543)) % 5.22/5.49 (step @p593 :rule quant-miniscope-or :args ((= @t541 @t543))) % 5.22/5.49 (step @p594 :rule trans :premises (@p593 @p592)) % 5.22/5.49 (step @p595 :rule symm :premises (@p594)) % 5.22/5.49 (step @p596 :rule cong :premises (@p595) :args ((forall @t11 (or @t530 @t545)))) % 5.22/5.49 (step @p597 :rule trans :premises (@p596 @p589)) % 5.22/5.49 (step @p598 :rule trans :premises (@p597 @p588)) % 5.22/5.49 (step @p599 :rule bool-impl-elim :args (@t116 @t545)) % 5.22/5.49 (step @p600 :rule cong :premises (@p599) :args ((forall @t11 (=> @t116 @t545)))) % 5.22/5.49 (step @p601 :rule trans :premises (@p600 @p598)) % 5.22/5.49 (step @p602 :rule bool-impl-elim :args (@t58 @t544)) % 5.22/5.49 (step @p603 :rule cong :premises (@p602) :args ((forall @t106 (=> @t58 @t544)))) % 5.22/5.49 (step @p604 :rule eq-symm :args (@t287 @t175)) % 5.22/5.49 (step @p605 :rule refl :args (@t58)) % 5.22/5.49 (step @p606 :rule cong :premises (@p605 @p604) :args (@t288)) % 5.22/5.49 (step @p607 :rule cong :premises (@p606) :args (@t289)) % 5.22/5.49 (step @p608 :rule trans :premises (@p607 @p603)) % 5.22/5.49 (step @p609 :rule refl :args (@t116)) % 5.22/5.49 (step @p610 :rule cong :premises (@p609 @p608) :args (@t290)) % 5.22/5.49 (step @p611 :rule cong :premises (@p610) :args (@t291)) % 5.22/5.49 (step @p612 :rule trans :premises (@p611 @p601)) % 5.22/5.49 (step @p613 :rule refl :args (@t258)) % 5.22/5.49 (step @p614 :rule cong :premises (@p613 @p612) :args (@t292)) % 5.22/5.49 (step @p615 :rule cong :premises (@p614) :args (@t293)) % 5.22/5.49 (step @p616 :rule trans :premises (@p615 @p586)) % 5.22/5.49 (step @p617 :rule cong :premises (@p616) :args (@t294)) % 5.22/5.49 (step @p618 :rule eq_resolve :premises (@p237 @p617)) % 5.22/5.49 (step @p619 :rule skolemize :premises (@p618)) % 5.22/5.49 (step @p620 :rule cnf_or_neg :args (@t551 4)) % 5.22/5.49 (step @p621 :rule chain_m_resolution :premises (@p620 @p619) :args ((not @t547) @t552 @t553)) % 5.22/5.49 (step @p622 :rule refl :args (@t554)) % 5.22/5.49 (step @p623 :rule bool-double-not-elim :args (@t511)) % 5.22/5.49 (step @p624 :rule refl :args (@t547)) % 5.22/5.49 (step @p625 :rule nary_cong :premises (@p624 @p623 @p622) :args ((or @t547 (not @t546) @t554))) % 5.22/5.49 (step @p626 :rule cnf_equiv_neg2 :args (@t547)) % 5.22/5.49 (step @p627 :rule eq_resolve :premises (@p626 @p625)) % 5.22/5.49 (step @p628 :rule reordering :premises (@p627) :args ((or @t511 @t547 @t554))) % 5.22/5.49 (step @p629 :rule bool-double-not-elim :args (@t514)) % 5.22/5.49 (step @p630 :rule refl :args (@t551)) % 5.22/5.49 (step @p631 :rule nary_cong :premises (@p630 @p629) :args ((or @t551 (not @t515)))) % 5.22/5.49 (step @p632 :rule cnf_or_neg :args (@t551 2)) % 5.22/5.49 (step @p633 :rule eq_resolve :premises (@p632 @p631)) % 5.22/5.49 (step @p634 :rule reordering :premises (@p633) :args ((or @t514 @t551))) % 5.22/5.49 (step @p635 :rule chain_m_resolution :premises (@p634 @p619) :args (@t514 @t552 @t553)) % 5.22/5.49 (step @p636 :rule aci_norm :args ((= (or @t556 (or @t555 @t178)) (or @t556 @t555 @t178)))) % 5.22/5.49 (step @p637 :rule bool-and-de-morgan :args (@t455 @t177 true)) % 5.22/5.49 (step @p638 :rule refl :args (@t556)) % 5.22/5.49 (step @p639 :rule nary_cong :premises (@p638 @p637) :args ((or @t556 @t456))) % 5.22/5.49 (step @p640 :rule trans :premises (@p639 @p636)) % 5.22/5.49 (step @p641 :rule bool-impl-elim :args (@t72 @t456)) % 5.22/5.49 (step @p642 :rule trans :premises (@p641 @p640)) % 5.22/5.49 (step @p643 :rule cong :premises (@p642) :args (@t457)) % 5.22/5.49 (step @p644 :rule eq_resolve :premises (@p444 @p643)) % 5.22/5.49 (step @p645 :rule instantiate :premises (@p644) :args ((@list @t508 @t509 @t506))) % 5.22/5.49 (step @p646 :rule cnf_or_pos :args (@t557)) % 5.22/5.49 (step @p647 :rule reordering :premises (@p646) :args ((or @t515 @t546 @t554 (not @t557)))) % 5.22/5.49 (step @p648 :rule chain_m_resolution :premises (@p647 @p645 @p635 @p628 @p621) :args (@t554 (@list false false false true) (@list @t557 @t514 @t511 @t547))) % 5.22/5.49 (step @p649 :rule cnf_equiv_neg1 :args (@t547)) % 5.22/5.49 (step @p650 :rule reordering :premises (@p649) :args ((or @t546 @t510 @t547))) % 5.22/5.49 (step @p651 :rule chain_m_resolution :premises (@p650 @p648 @p621) :args (@t546 (@list true true) (@list @t510 @t547))) % 5.22/5.49 (step @p652 :rule bool-double-not-elim :args (@t512)) % 0.49/5.52 (step @p653 :rule nary_cong :premises (@p630 @p652) :args ((or @t551 (not @t513)))) % 0.49/5.52 (step @p654 :rule cnf_or_neg :args (@t551 3)) % 0.49/5.52 (step @p655 :rule eq_resolve :premises (@p654 @p653)) % 0.49/5.52 (step @p656 :rule reordering :premises (@p655) :args ((or @t512 @t551))) % 0.49/5.52 (step @p657 :rule chain_m_resolution :premises (@p656 @p619) :args (@t512 @t552 @t553)) % 0.49/5.52 (step @p658 :rule cnf_or_pos :args (@t519)) % 0.49/5.52 (step @p659 :rule reordering :premises (@p658) :args ((or @t515 @t513 @t511 @t510 @t518 (not @t519)))) % 0.49/5.52 (step @p660 :rule chain_m_resolution :premises (@p659 @p635 @p657 @p651 @p648 @p561) :args (@t518 (@list false false true true false) (@list @t514 @t512 @t511 @t510 @t519))) % 0.49/5.52 (step @p661 :rule symm :premises (@p660)) % 0.49/5.52 (step @p662 :rule cong :premises (@p661) :args (@t558)) % 0.49/5.52 (step @p663 :rule aci_norm :args ((= (or @t535 @t257) (or @t62 @t502 @t257)))) % 0.49/5.52 (step @p664 :rule refl :args (@t257)) % 0.49/5.52 (step @p665 :rule nary_cong :premises (@p580 @p664) :args ((or @t536 @t257))) % 0.49/5.52 (step @p666 :rule trans :premises (@p665 @p663)) % 0.49/5.52 (step @p667 :rule bool-impl-elim :args (@t258 @t257)) % 0.49/5.52 (step @p668 :rule trans :premises (@p667 @p666)) % 0.49/5.52 (step @p669 :rule cong :premises (@p668) :args (@t259)) % 0.49/5.52 (step @p670 :rule eq_resolve :premises (@p174 @p669)) % 0.49/5.52 (step @p671 :rule instantiate :premises (@p670) :args ((@list @t507))) % 0.49/5.52 (step @p672 :rule bool-double-not-elim :args (@t548)) % 0.49/5.52 (step @p673 :rule nary_cong :premises (@p630 @p672) :args ((or @t551 (not @t549)))) % 0.49/5.52 (step @p674 :rule cnf_or_neg :args (@t551 1)) % 0.49/5.52 (step @p675 :rule eq_resolve :premises (@p674 @p673)) % 0.49/5.52 (step @p676 :rule reordering :premises (@p675) :args ((or @t548 @t551))) % 0.49/5.52 (step @p677 :rule chain_m_resolution :premises (@p676 @p619) :args (@t548 @t552 @t553)) % 0.49/5.52 (step @p678 :rule cnf_or_neg :args (@t551 0)) % 0.49/5.52 (step @p679 :rule chain_m_resolution :premises (@p678 @p619) :args ((not @t550) @t552 @t553)) % 0.49/5.52 (step @p680 :rule cnf_or_pos :args (@t560)) % 0.49/5.52 (step @p681 :rule reordering :premises (@p680) :args ((or @t550 @t549 @t559 (not @t560)))) % 0.49/5.52 (step @p682 :rule chain_m_resolution :premises (@p681 @p679 @p677 @p671) :args (@t559 (@list true false false) (@list @t550 @t548 @t560))) % 0.49/5.52 (step @p683 :rule false_intro :premises (@p682)) % 0.49/5.52 (step @p684 :rule symm :premises (@p683)) % 0.49/5.52 (step @p685 :rule trans :premises (@p684 @p662 @p491)) % 0.49/5.52 (step @p686 false :rule eq_resolve :premises (@p685 @p489)) % 0.49/5.52 ) % 0.49/5.52 % SZS output end Proof % 0.49/5.52 % cvc5 exiting %------------------------------------------------------------------------------