%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU328+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 08:51:24 AM UTC 2026 % Result : Theorem 4.43s 4.66s % Output : Proof 4.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU328+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n023.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:57:58 EDT 2026 % 0.18/0.35 % CPUTime : % 0.40/0.65 %----Proving TF0_NAR, FOF, or CNF % 4.43/4.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.43/4.66 % SZS status Theorem % 4.43/4.66 % SZS output start Proof % 4.43/4.66 ( % 4.43/4.66 (declare-sort $$unsorted 0) % 4.43/4.66 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.function (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.finite (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.connected (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.empty_set $$unsorted) % 4.43/4.66 (declare-const tptp.empty (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.natural (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.transitive (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.omega $$unsorted) % 4.43/4.66 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 4.43/4.66 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 4.43/4.66 (declare-const tptp.top_str (-> $$unsorted Bool)) % 4.43/4.66 (define @t1 () (@var "A" $$unsorted)) % 4.43/4.66 (define @t2 () (@var "B" $$unsorted)) % 4.43/4.66 (define @t3 () (tptp.in @t2 @t1)) % 4.43/4.66 (define @t4 () (not @t3)) % 4.43/4.66 (define @t5 () (tptp.in @t1 @t2)) % 4.43/4.66 (define @t6 () (@list @t1 @t2)) % 4.43/4.66 (define @t7 () (tptp.proper_subset @t2 @t1)) % 4.43/4.66 (define @t8 () (tptp.proper_subset @t1 @t2)) % 4.43/4.66 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 4.43/4.66 (define @t10 () (tptp.element @t2 @t1)) % 4.43/4.66 (define @t11 () (@list @t2)) % 4.43/4.66 (define @t12 () (tptp.v1_membered @t1)) % 4.43/4.66 (define @t13 () (@list @t1)) % 4.43/4.66 (define @t14 () (tptp.v1_xreal_0 @t2)) % 4.43/4.66 (define @t15 () (tptp.v2_membered @t1)) % 4.43/4.66 (define @t16 () (tptp.v1_rat_1 @t2)) % 4.43/4.66 (define @t17 () (tptp.v3_membered @t1)) % 4.43/4.66 (define @t18 () (tptp.v1_int_1 @t2)) % 4.43/4.66 (define @t19 () (tptp.v4_membered @t1)) % 4.43/4.66 (define @t20 () (tptp.natural @t2)) % 4.43/4.66 (define @t21 () (tptp.v5_membered @t1)) % 4.43/4.66 (define @t22 () (tptp.empty @t1)) % 4.43/4.66 (define @t23 () (tptp.v1_membered @t2)) % 4.43/4.66 (define @t24 () (tptp.powerset @t1)) % 4.43/4.66 (define @t25 () (tptp.element @t2 @t24)) % 4.43/4.66 (define @t26 () (tptp.v2_membered @t2)) % 4.43/4.66 (define @t27 () (tptp.v3_membered @t2)) % 4.43/4.66 (define @t28 () (tptp.v4_membered @t2)) % 4.43/4.66 (define @t29 () (tptp.ordinal @t2)) % 4.43/4.66 (define @t30 () (tptp.epsilon_connected @t2)) % 4.43/4.66 (define @t31 () (tptp.epsilon_transitive @t2)) % 4.43/4.66 (define @t32 () (tptp.ordinal @t1)) % 4.43/4.66 (define @t33 () (tptp.finite @t1)) % 4.43/4.66 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 4.43/4.66 (define @t35 () (tptp.preboolean @t1)) % 4.43/4.66 (define @t36 () (tptp.function @t1)) % 4.43/4.66 (define @t37 () (tptp.epsilon_connected @t1)) % 4.43/4.66 (define @t38 () (tptp.epsilon_transitive @t1)) % 4.43/4.66 (define @t39 () (and @t38 @t37)) % 4.43/4.66 (define @t40 () (tptp.relation @t1)) % 4.43/4.66 (define @t41 () (@var "C" $$unsorted)) % 4.43/4.66 (define @t42 () (tptp.relation @t41)) % 4.43/4.66 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 4.43/4.66 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 4.43/4.66 (define @t45 () (@list @t1 @t2 @t41)) % 4.43/4.66 (define @t46 () (tptp.natural @t1)) % 4.43/4.66 (define @t47 () (and @t38 @t37 @t32 @t46)) % 4.43/4.66 (define @t48 () (tptp.finite @t2)) % 4.43/4.66 (define @t49 () (tptp.one_to_one @t1)) % 4.43/4.66 (define @t50 () (and @t40 @t36 @t49)) % 4.43/4.66 (define @t51 () (and @t40 @t22 @t36)) % 4.43/4.66 (define @t52 () (and @t38 @t37 @t32)) % 4.43/4.66 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 4.43/4.66 (define @t54 () (tptp.set_union2 @t2 @t1)) % 4.43/4.66 (define @t55 () (tptp.set_union2 @t1 @t2)) % 4.43/4.66 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 4.43/4.66 (define @t57 () (tptp.the_carrier @t1)) % 4.43/4.66 (define @t58 () (tptp.element @t41 @t57)) % 4.43/4.66 (define @t59 () (tptp.element @t2 @t57)) % 4.43/4.66 (define @t60 () (tptp.join_semilatt_str @t1)) % 4.43/4.66 (define @t61 () (tptp.join_commutative @t1)) % 4.43/4.66 (define @t62 () (tptp.empty_carrier @t1)) % 4.43/4.66 (define @t63 () (not @t62)) % 4.43/4.66 (define @t64 () (and @t63 @t61 @t60 @t59 @t58)) % 4.43/4.66 (define @t65 () (tptp.set_intersection2 @t2 @t1)) % 4.43/4.66 (define @t66 () (tptp.set_intersection2 @t1 @t2)) % 4.43/4.66 (define @t67 () (tptp.meet_commut @t1 @t2 @t41)) % 4.43/4.66 (define @t68 () (tptp.meet_semilatt_str @t1)) % 4.43/4.66 (define @t69 () (tptp.meet_commutative @t1)) % 4.43/4.66 (define @t70 () (and @t63 @t69 @t68 @t59 @t58)) % 4.43/4.66 (define @t71 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 4.43/4.66 (define @t72 () (tptp.element @t41 @t24)) % 4.43/4.66 (define @t73 () (and @t25 @t72)) % 4.43/4.66 (define @t74 () (tptp.ordinal_subset @t1 @t2)) % 4.43/4.66 (define @t75 () (and @t32 @t29)) % 4.43/4.66 (define @t76 () (@var "D" $$unsorted)) % 4.43/4.66 (define @t77 () (= @t41 @t76)) % 4.43/4.66 (define @t78 () (tptp.in @t41 @t1)) % 4.43/4.66 (define @t79 () (tptp.ordered_pair @t41 @t76)) % 4.43/4.66 (define @t80 () (tptp.in @t79 @t2)) % 4.43/4.66 (define @t81 () (@list @t41 @t76)) % 4.43/4.66 (define @t82 () (tptp.identity_relation @t1)) % 4.43/4.66 (define @t83 () (= @t2 @t82)) % 4.43/4.66 (define @t84 () (tptp.relation @t2)) % 4.43/4.66 (define @t85 () (tptp.subset @t2 @t1)) % 4.43/4.66 (define @t86 () (tptp.subset @t1 @t2)) % 4.43/4.66 (define @t87 () (= @t1 @t2)) % 4.43/4.66 (define @t88 () (@var "E" $$unsorted)) % 4.43/4.66 (define @t89 () (tptp.ordered_pair @t76 @t88)) % 4.43/4.66 (define @t90 () (tptp.in @t89 @t1)) % 4.43/4.66 (define @t91 () (tptp.in @t76 @t2)) % 4.43/4.66 (define @t92 () (tptp.in @t89 @t41)) % 4.43/4.66 (define @t93 () (@list @t76 @t88)) % 4.43/4.66 (define @t94 () (tptp.relation_dom_restriction @t1 @t2)) % 4.43/4.66 (define @t95 () (@list @t2 @t41)) % 4.43/4.66 (define @t96 () (tptp.in @t88 @t2)) % 4.43/4.66 (define @t97 () (tptp.relation_dom @t1)) % 4.43/4.66 (define @t98 () (@list @t88)) % 4.43/4.66 (define @t99 () (tptp.in @t76 @t41)) % 4.43/4.66 (define @t100 () (@list @t76)) % 4.43/4.66 (define @t101 () (tptp.relation_image @t1 @t2)) % 4.43/4.66 (define @t102 () (= @t41 @t101)) % 4.43/4.66 (define @t103 () (and @t40 @t36)) % 4.43/4.66 (define @t104 () (tptp.in @t88 @t1)) % 4.43/4.66 (define @t105 () (tptp.relation_rng_restriction @t1 @t2)) % 4.43/4.66 (define @t106 () (@list @t41)) % 4.43/4.66 (define @t107 () (tptp.relation_field @t1)) % 4.43/4.66 (define @t108 () (tptp.antisymmetric @t1)) % 4.43/4.66 (define @t109 () (tptp.apply @t1 @t76)) % 4.43/4.66 (define @t110 () (tptp.in @t76 @t97)) % 4.43/4.66 (define @t111 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 4.43/4.66 (define @t112 () (tptp.powerset @t57)) % 4.43/4.66 (define @t113 () (tptp.element @t88 @t112)) % 4.43/4.66 (define @t114 () (tptp.topstr_closure @t1 @t2)) % 4.43/4.66 (define @t115 () (tptp.element @t41 @t112)) % 4.43/4.66 (define @t116 () (tptp.element @t2 @t112)) % 4.43/4.66 (define @t117 () (tptp.top_str @t1)) % 4.43/4.66 (define @t118 () (tptp.ordered_pair @t88 @t76)) % 4.43/4.66 (define @t119 () (tptp.connected @t1)) % 4.43/4.66 (define @t120 () (tptp.transitive @t1)) % 4.43/4.66 (define @t121 () (tptp.in @t88 @t76)) % 4.43/4.66 (define @t122 () (@list @t1 @t2 @t41 @t76)) % 4.43/4.66 (define @t123 () (tptp.relation_dom @t2)) % 4.43/4.66 (define @t124 () (tptp.relation_rng @t2)) % 4.43/4.66 (define @t125 () (tptp.function @t2)) % 4.43/4.66 (define @t126 () (tptp.in (tptp.ordered_pair @t2 @t76) @t1)) % 4.43/4.66 (define @t127 () (tptp.ordered_pair @t2 @t41)) % 4.43/4.66 (define @t128 () (tptp.in @t127 @t1)) % 4.43/4.66 (define @t129 () (@list @t2 @t41 @t76)) % 4.43/4.66 (define @t130 () (= @t41 tptp.empty_set)) % 4.43/4.66 (define @t131 () (tptp.quasi_total @t41 @t1 @t2)) % 4.43/4.66 (define @t132 () (= @t1 tptp.empty_set)) % 4.43/4.66 (define @t133 () (= @t2 tptp.empty_set)) % 4.43/4.66 (define @t134 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 4.43/4.66 (define @t135 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 4.43/4.66 (define @t136 () (tptp.the_L_join @t1)) % 4.43/4.66 (define @t137 () (tptp.join @t1 @t2 @t41)) % 4.43/4.66 (define @t138 () (and @t63 @t60)) % 4.43/4.66 (define @t139 () (= @t2 @t41)) % 4.43/4.66 (define @t140 () (= @t1 @t79)) % 4.43/4.66 (define @t141 () (exists @t95 (= @t1 @t127))) % 4.43/4.66 (define @t142 () (tptp.singleton @t1)) % 4.43/4.66 (define @t143 () (tptp.succ @t1)) % 4.43/4.66 (define @t144 () (tptp.the_topology @t1)) % 4.43/4.66 (define @t145 () (tptp.in @t2 @t144)) % 4.43/4.66 (define @t146 () (tptp.union_of_subsets @t57 @t2)) % 4.43/4.66 (define @t147 () (tptp.powerset @t112)) % 4.43/4.66 (define @t148 () (tptp.element @t2 @t147)) % 4.43/4.66 (define @t149 () (tptp.topological_space @t1)) % 4.43/4.66 (define @t150 () (tptp.in @t41 @t2)) % 4.43/4.66 (define @t151 () (tptp.is_reflexive_in @t1 @t2)) % 4.43/4.66 (define @t152 () (tptp.relation_of2 @t41 @t1 @t2)) % 4.43/4.66 (define @t153 () (= @t2 (tptp.set_meet @t1))) % 4.43/4.66 (define @t154 () (tptp.in @t41 @t76)) % 4.43/4.66 (define @t155 () (tptp.in @t76 @t1)) % 4.43/4.66 (define @t156 () (not @t132)) % 4.43/4.66 (define @t157 () (tptp.empty @t57)) % 4.43/4.66 (define @t158 () (tptp.one_sorted_str @t1)) % 4.43/4.66 (define @t159 () (tptp.subset_complement @t57 @t2)) % 4.43/4.66 (define @t160 () (tptp.interior @t1 @t2)) % 4.43/4.66 (define @t161 () (= @t76 @t2)) % 4.43/4.66 (define @t162 () (tptp.subset @t41 @t76)) % 4.43/4.66 (define @t163 () (tptp.relation_field @t2)) % 4.43/4.66 (define @t164 () (tptp.inclusion_relation @t1)) % 4.43/4.66 (define @t165 () (tptp.the_L_meet @t1)) % 4.43/4.66 (define @t166 () (tptp.meet @t1 @t2 @t41)) % 4.43/4.66 (define @t167 () (= @t2 @t76)) % 4.43/4.66 (define @t168 () (tptp.empty_carrier_subset @t1)) % 4.43/4.66 (define @t169 () (tptp.in @t79 @t1)) % 4.43/4.66 (define @t170 () (tptp.empty @t2)) % 4.43/4.66 (define @t171 () (not @t22)) % 4.43/4.66 (define @t172 () (not @t133)) % 4.43/4.66 (define @t173 () (tptp.well_founded_relation @t1)) % 4.43/4.66 (define @t174 () (@var "F" $$unsorted)) % 4.43/4.66 (define @t175 () (tptp.ordered_pair @t88 @t174)) % 4.43/4.66 (define @t176 () (tptp.in @t174 @t2)) % 4.43/4.66 (define @t177 () (@list @t88 @t174)) % 4.43/4.66 (define @t178 () (tptp.below @t1 @t2 @t41)) % 4.43/4.66 (define @t179 () (not @t150)) % 4.43/4.66 (define @t180 () (not @t139)) % 4.43/4.66 (define @t181 () (tptp.in @t2 @t41)) % 4.43/4.66 (define @t182 () (tptp.cast_as_carrier_subset @t1)) % 4.43/4.66 (define @t183 () (forall @t106 (=> @t78 @t150))) % 4.43/4.66 (define @t184 () (not @t130)) % 4.43/4.66 (define @t185 () (tptp.subset @t41 @t2)) % 4.43/4.66 (define @t186 () (tptp.is_well_founded_in @t1 @t2)) % 4.43/4.66 (define @t187 () (tptp.apply @t1 @t2)) % 4.43/4.66 (define @t188 () (= @t41 @t187)) % 4.43/4.66 (define @t189 () (tptp.in @t2 @t97)) % 4.43/4.66 (define @t190 () (tptp.in (tptp.ordered_pair @t76 @t41) @t1)) % 4.43/4.66 (define @t191 () (tptp.is_antisymmetric_in @t1 @t2)) % 4.43/4.66 (define @t192 () (tptp.cast_to_subset @t1)) % 4.43/4.66 (define @t193 () (tptp.union @t1)) % 4.43/4.66 (define @t194 () (tptp.reflexive @t1)) % 4.43/4.66 (define @t195 () (tptp.well_ordering @t1)) % 4.43/4.66 (define @t196 () (tptp.relation_rng @t41)) % 4.43/4.66 (define @t197 () (tptp.relation_dom @t41)) % 4.43/4.66 (define @t198 () (= @t197 @t1)) % 4.43/4.66 (define @t199 () (tptp.one_to_one @t41)) % 4.43/4.66 (define @t200 () (tptp.function @t41)) % 4.43/4.66 (define @t201 () (tptp.equipotent @t1 @t2)) % 4.43/4.66 (define @t202 () (tptp.set_difference @t1 @t2)) % 4.43/4.66 (define @t203 () (and @t110 (= @t41 @t109))) % 4.43/4.66 (define @t204 () (tptp.relation_rng @t1)) % 4.43/4.66 (define @t205 () (= @t2 @t204)) % 4.43/4.66 (define @t206 () (tptp.being_limit_ordinal @t1)) % 4.43/4.66 (define @t207 () (tptp.open_subset @t2 @t1)) % 4.43/4.66 (define @t208 () (tptp.subset_complement @t1 @t2)) % 4.43/4.66 (define @t209 () (tptp.ordered_pair @t1 @t2)) % 4.43/4.66 (define @t210 () (tptp.is_connected_in @t1 @t2)) % 4.43/4.66 (define @t211 () (tptp.is_transitive_in @t1 @t2)) % 4.43/4.66 (define @t212 () (tptp.subset_difference @t57 @t182 @t2)) % 4.43/4.66 (define @t213 () (tptp.closed_subset @t2 @t1)) % 4.43/4.66 (define @t214 () (tptp.cartesian_product2 @t2 @t2)) % 4.43/4.66 (define @t215 () (tptp.relation_restriction @t1 @t2)) % 4.43/4.66 (define @t216 () (tptp.relation_inverse @t1)) % 4.43/4.66 (define @t217 () (tptp.apply @t41 @t88)) % 4.43/4.66 (define @t218 () (tptp.apply @t41 @t76)) % 4.43/4.66 (define @t219 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 4.43/4.66 (define @t220 () (and @t42 @t200)) % 4.43/4.66 (define @t221 () (tptp.disjoint @t1 @t2)) % 4.43/4.66 (define @t222 () (tptp.meet_absorbing @t1)) % 4.43/4.66 (define @t223 () (tptp.latt_str @t1)) % 4.43/4.66 (define @t224 () (tptp.is_a_cover_of_carrier @t1 @t2)) % 4.43/4.66 (define @t225 () (@list @t174)) % 4.43/4.66 (define @t226 () (tptp.relation_composition @t1 @t2)) % 4.43/4.66 (define @t227 () (@list @t41 @t76 @t88)) % 4.43/4.66 (define @t228 () (tptp.complements_of_subsets @t1 @t2)) % 4.43/4.66 (define @t229 () (tptp.powerset @t24)) % 4.43/4.66 (define @t230 () (tptp.element @t2 @t229)) % 4.43/4.66 (define @t231 () (not @t87)) % 4.43/4.66 (define @t232 () (tptp.function_inverse @t1)) % 4.43/4.66 (define @t233 () (and @t117 @t116)) % 4.43/4.66 (define @t234 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t76 @t88 @t174)) % 4.43/4.66 (define @t235 () (tptp.function @t76)) % 4.43/4.66 (define @t236 () (not @t170)) % 4.43/4.66 (define @t237 () (and @t171 @t236 @t235 (tptp.quasi_total @t76 @t43 @t41) (tptp.relation_of2 @t76 @t43 @t41) (tptp.element @t88 @t1) (tptp.element @t174 @t2))) % 4.43/4.66 (define @t238 () (@list @t1 @t2 @t41 @t76 @t88 @t174)) % 4.43/4.66 (define @t239 () (tptp.relation @t216)) % 4.43/4.66 (define @t240 () (tptp.relation @t226)) % 4.43/4.66 (define @t241 () (and @t40 @t84)) % 4.43/4.66 (define @t242 () (tptp.powerset @t2)) % 4.43/4.66 (define @t243 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 4.43/4.66 (define @t244 () (tptp.union_of_subsets @t1 @t2)) % 4.43/4.66 (define @t245 () (tptp.element @t244 @t24)) % 4.43/4.66 (define @t246 () (forall @t6 (=> @t230 @t245))) % 4.43/4.66 (define @t247 () (tptp.relation @t82)) % 4.43/4.66 (define @t248 () (tptp.meet_of_subsets @t1 @t2)) % 4.43/4.66 (define @t249 () (tptp.subset_difference @t1 @t2 @t41)) % 4.43/4.66 (define @t250 () (tptp.relation @t94)) % 4.43/4.66 (define @t251 () (tptp.element @t228 @t229)) % 4.43/4.66 (define @t252 () (forall @t6 (=> @t230 @t251))) % 4.43/4.66 (define @t253 () (tptp.relation @t105)) % 4.43/4.66 (define @t254 () (tptp.cartesian_product2 @t57 @t57)) % 4.43/4.66 (define @t255 () (tptp.finite @t66)) % 4.43/4.66 (define @t256 () (tptp.relation_composition @t2 @t1)) % 4.43/4.66 (define @t257 () (and @t22 @t84)) % 4.43/4.66 (define @t258 () (tptp.relation_empty_yielding tptp.empty_set)) % 4.43/4.66 (define @t259 () (tptp.relation tptp.empty_set)) % 4.43/4.66 (define @t260 () (tptp.empty tptp.empty_set)) % 4.43/4.66 (define @t261 () (tptp.relation_empty_yielding @t1)) % 4.43/4.66 (define @t262 () (and @t40 @t261)) % 4.43/4.66 (define @t263 () (not (tptp.empty @t142))) % 4.43/4.66 (define @t264 () (not (tptp.empty @t24))) % 4.43/4.66 (define @t265 () (not (tptp.empty @t143))) % 4.43/4.66 (define @t266 () (and @t63 @t158)) % 4.43/4.66 (define @t267 () (tptp.v1_membered @t66)) % 4.43/4.66 (define @t268 () (tptp.v1_membered @t65)) % 4.43/4.66 (define @t269 () (tptp.v2_membered @t66)) % 4.43/4.66 (define @t270 () (tptp.ordinal @t143)) % 4.43/4.66 (define @t271 () (tptp.epsilon_connected @t143)) % 4.43/4.66 (define @t272 () (tptp.epsilon_transitive @t143)) % 4.43/4.66 (define @t273 () (and @t149 @t117 @t116)) % 4.43/4.66 (define @t274 () (tptp.v2_membered @t65)) % 4.43/4.66 (define @t275 () (tptp.v3_membered @t66)) % 4.43/4.66 (define @t276 () (tptp.v3_membered @t65)) % 4.43/4.66 (define @t277 () (tptp.v4_membered @t66)) % 4.43/4.66 (define @t278 () (tptp.v4_membered @t65)) % 4.43/4.66 (define @t279 () (tptp.v1_membered @t202)) % 4.43/4.66 (define @t280 () (tptp.v2_membered @t202)) % 4.43/4.66 (define @t281 () (tptp.v3_membered @t202)) % 4.43/4.66 (define @t282 () (tptp.open_subset @t159 @t1)) % 4.43/4.66 (define @t283 () (tptp.v4_membered @t202)) % 4.43/4.66 (define @t284 () (tptp.closed_subset @t159 @t1)) % 4.43/4.66 (define @t285 () (and @t84 @t125)) % 4.43/4.66 (define @t286 () (and @t149 @t117)) % 4.43/4.66 (define @t287 () (tptp.empty @t97)) % 4.43/4.66 (define @t288 () (and @t171 @t40)) % 4.43/4.66 (define @t289 () (tptp.empty @t204)) % 4.43/4.66 (define @t290 () (tptp.open_subset @t160 @t1)) % 4.43/4.66 (define @t291 () (tptp.subset_complement @t1 @t208)) % 4.43/4.66 (define @t292 () (=> @t25 (= @t291 @t2))) % 4.43/4.66 (define @t293 () (forall @t6 @t292)) % 4.43/4.66 (define @t294 () (tptp.complements_of_subsets @t1 @t228)) % 4.43/4.66 (define @t295 () (=> @t230 (= @t294 @t2))) % 4.43/4.66 (define @t296 () (forall @t6 @t295)) % 4.43/4.66 (define @t297 () (tptp.in @t2 @t107)) % 4.43/4.66 (define @t298 () (tptp.disjoint @t142 @t2)) % 4.43/4.66 (define @t299 () (not @t5)) % 4.43/4.66 (define @t300 () (tptp.well_ordering @t2)) % 4.43/4.66 (define @t301 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 4.43/4.66 (define @t302 () (tptp.singleton @t41)) % 4.43/4.66 (define @t303 () (not @t128)) % 4.43/4.66 (define @t304 () (tptp.singleton @t2)) % 4.43/4.66 (define @t305 () (tptp.union @t2)) % 4.43/4.66 (define @t306 () (tptp.in @t1 @t41)) % 4.43/4.66 (define @t307 () (tptp.element @t1 @t242)) % 4.43/4.66 (define @t308 () (tptp.relation_dom_restriction @t41 @t1)) % 4.43/4.66 (define @t309 () (tptp.in @t2 (tptp.relation_dom @t308))) % 4.43/4.66 (define @t310 () (tptp.one_to_one @t2)) % 4.43/4.66 (define @t311 () (tptp.set_intersection2 @t2 @t41)) % 4.43/4.66 (define @t312 () (tptp.set_difference @t2 @t41)) % 4.43/4.66 (define @t313 () (@var "K" $$unsorted)) % 4.43/4.66 (define @t314 () (@var "J" $$unsorted)) % 4.43/4.66 (define @t315 () (tptp.in @t313 @t314)) % 4.43/4.66 (define @t316 () (@list @t313)) % 4.43/4.66 (define @t317 () (@list @t314)) % 4.43/4.66 (define @t318 () (= @t76 @t88)) % 4.43/4.66 (define @t319 () (@var "I" $$unsorted)) % 4.43/4.66 (define @t320 () (@var "H" $$unsorted)) % 4.43/4.66 (define @t321 () (tptp.in @t319 @t320)) % 4.43/4.66 (define @t322 () (@list @t319)) % 4.43/4.66 (define @t323 () (@list @t320)) % 4.43/4.66 (define @t324 () (exists @t323 (and (= @t41 @t320) (tptp.in @t88 @t320) (forall @t322 (=> @t321 (tptp.in (tptp.ordered_pair @t88 @t319) @t2)))))) % 4.43/4.67 (define @t325 () (@var "G" $$unsorted)) % 4.43/4.67 (define @t326 () (tptp.in @t325 @t174)) % 4.43/4.67 (define @t327 () (@list @t325)) % 4.43/4.67 (define @t328 () (exists @t225 (and (= @t41 @t174) (tptp.in @t76 @t174) (forall @t327 (=> @t326 (tptp.in (tptp.ordered_pair @t76 @t325) @t2)))))) % 4.43/4.67 (define @t329 () (forall @t227 (=> (and @t78 @t328 @t78 @t324) @t318))) % 4.43/4.67 (define @t330 () (and @t171 @t84)) % 4.43/4.67 (define @t331 () (= @t76 @t304)) % 4.43/4.67 (define @t332 () (= @t41 @t304)) % 4.43/4.67 (define @t333 () (forall @t129 (=> (and @t3 @t332 @t3 @t331) @t77))) % 4.43/4.67 (define @t334 () (tptp.ordinal @t41)) % 4.43/4.67 (define @t335 () (@var "S" $$unsorted)) % 4.43/4.67 (define @t336 () (@var "T" $$unsorted)) % 4.43/4.67 (define @t337 () (@var "R" $$unsorted)) % 4.43/4.67 (define @t338 () (tptp.powerset (tptp.powerset @t76))) % 4.43/4.67 (define @t339 () (@list @t337)) % 4.43/4.67 (define @t340 () (tptp.in @t76 tptp.omega)) % 4.43/4.67 (define @t341 () (tptp.ordinal @t76)) % 4.43/4.67 (define @t342 () (@var "P" $$unsorted)) % 4.43/4.67 (define @t343 () (@var "Q" $$unsorted)) % 4.43/4.67 (define @t344 () (@var "O" $$unsorted)) % 4.43/4.67 (define @t345 () (@list @t343)) % 4.43/4.67 (define @t346 () (@list @t342)) % 4.43/4.67 (define @t347 () (@list @t344)) % 4.43/4.67 (define @t348 () (@var "M" $$unsorted)) % 4.43/4.67 (define @t349 () (@var "N" $$unsorted)) % 4.43/4.67 (define @t350 () (@var "L" $$unsorted)) % 4.43/4.67 (define @t351 () (@list @t349)) % 4.43/4.67 (define @t352 () (tptp.in @t348 @t350)) % 4.43/4.67 (define @t353 () (@list @t348)) % 4.43/4.67 (define @t354 () (@list @t350)) % 4.43/4.67 (define @t355 () (tptp.succ @t76)) % 4.43/4.67 (define @t356 () (=> @t340 (forall @t98 (=> (tptp.element @t88 @t338) (not (and (not (= @t88 tptp.empty_set)) (forall @t225 (not (and (tptp.in @t174 @t88) (forall @t327 (=> (and (tptp.in @t325 @t88) (tptp.subset @t174 @t325)) (= @t325 @t174)))))))))))) % 4.43/4.67 (define @t357 () (tptp.subset @t2 @t41)) % 4.43/4.67 (define @t358 () (tptp.powerset tptp.empty_set)) % 4.43/4.67 (define @t359 () (tptp.apply @t41 @t174)) % 4.43/4.67 (define @t360 () (tptp.in @t174 @t1)) % 4.43/4.67 (define @t361 () (tptp.relation @t76)) % 4.43/4.67 (define @t362 () (and @t84 @t42 @t200)) % 4.43/4.67 (define @t363 () (forall @t316 (=> @t315 (tptp.in (tptp.ordered_pair @t76 @t313) @t2)))) % 4.43/4.67 (define @t364 () (tptp.in @t76 @t314)) % 4.43/4.67 (define @t365 () (= @t174 @t88)) % 4.43/4.67 (define @t366 () (tptp.cartesian_product2 @t1 @t41)) % 4.43/4.67 (define @t367 () (= @t88 @t174)) % 4.43/4.67 (define @t368 () (tptp.ordered_pair @t313 @t350)) % 4.43/4.67 (define @t369 () (@list @t313 @t350)) % 4.43/4.67 (define @t370 () (= @t76 @t174)) % 4.43/4.67 (define @t371 () (tptp.in @t314 @t319)) % 4.43/4.67 (define @t372 () (tptp.in @t325 @t1)) % 4.43/4.67 (define @t373 () (tptp.ordered_pair @t325 @t320)) % 4.43/4.67 (define @t374 () (@list @t325 @t320)) % 4.43/4.67 (define @t375 () (@list @t76 @t88 @t174)) % 4.43/4.67 (define @t376 () (= @t88 @t76)) % 4.43/4.67 (define @t377 () (tptp.in @t320 @t1)) % 4.43/4.67 (define @t378 () (= @t41 @t88)) % 4.43/4.67 (define @t379 () (tptp.ordered_pair @t174 @t325)) % 4.43/4.67 (define @t380 () (@list @t174 @t325)) % 4.43/4.67 (define @t381 () (= @t76 @t41)) % 4.43/4.67 (define @t382 () (not (and (not (= @t174 tptp.empty_set)) (forall @t327 (not (and @t326 (forall @t323 (=> (and (tptp.in @t320 @t174) (tptp.subset @t325 @t320)) (= @t320 @t325))))))))) % 4.43/4.67 (define @t383 () (tptp.ordinal @t88)) % 4.43/4.67 (define @t384 () (tptp.subset @t2 @t76)) % 4.43/4.67 (define @t385 () (tptp.in @t88 @t112)) % 4.43/4.67 (define @t386 () (tptp.in (tptp.set_difference @t182 @t76) @t2)) % 4.43/4.67 (define @t387 () (and @t149 @t117 @t148)) % 4.43/4.67 (define @t388 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t143))))) % 4.43/4.67 (define @t389 () (tptp.cartesian_product2 @t1 @t1)) % 4.43/4.67 (define @t390 () (tptp.apply @t41 @t325)) % 4.43/4.67 (define @t391 () (tptp.in (tptp.relation_image @t41 @t88) @t2)) % 4.43/4.67 (define @t392 () (tptp.powerset @t197)) % 4.43/4.67 (define @t393 () (and @t230 @t42 @t200)) % 4.43/4.67 (define @t394 () (tptp.succ @t2)) % 4.43/4.67 (define @t395 () (exists @t98 (and @t113 @t376 (tptp.closed_subset @t88 @t1) @t384))) % 4.43/4.67 (define @t396 () (tptp.in @t76 @t112)) % 4.43/4.67 (define @t397 () (tptp.apply @t2 @t41)) % 4.43/4.67 (define @t398 () (= @t123 @t1)) % 4.43/4.67 (define @t399 () (exists @t11 (and @t84 @t125 @t398 (forall @t106 (=> @t78 (= @t397 @t302)))))) % 4.43/4.67 (define @t400 () (tptp.in @t1 tptp.omega)) % 4.43/4.67 (define @t401 () (tptp.element @t76 @t112)) % 4.43/4.67 (define @t402 () (tptp.element @t41 @t147)) % 4.43/4.67 (define @t403 () (= @t228 tptp.empty_set)) % 4.43/4.67 (define @t404 () (and @t172 @t403)) % 4.43/4.67 (define @t405 () (not @t404)) % 4.43/4.67 (define @t406 () (= @t1 @t41)) % 4.43/4.67 (define @t407 () (tptp.relation_rng @t105)) % 4.43/4.67 (define @t408 () (tptp.meet_of_subsets @t1 @t228)) % 4.43/4.67 (define @t409 () (= @t408 (tptp.subset_complement @t1 @t244))) % 4.43/4.67 (define @t410 () (=> @t172 @t409)) % 4.43/4.67 (define @t411 () (forall @t6 (=> @t230 @t410))) % 4.43/4.67 (define @t412 () (tptp.union_of_subsets @t1 @t228)) % 4.43/4.67 (define @t413 () (= @t412 (tptp.subset_complement @t1 @t248))) % 4.43/4.67 (define @t414 () (=> @t172 @t413)) % 4.43/4.67 (define @t415 () (forall @t6 (=> @t230 @t414))) % 4.43/4.67 (define @t416 () (not @t415)) % 4.43/4.67 (define @t417 () (forall @t106 (not (and @t185 (not (tptp.are_equipotent @t41 @t2)) @t179)))) % 4.43/4.67 (define @t418 () (tptp.powerset @t41)) % 4.43/4.67 (define @t419 () (forall @t81 (=> (and @t150 (tptp.subset @t76 @t41)) @t91))) % 4.43/4.67 (define @t420 () (tptp.relation_dom_restriction @t41 @t2)) % 4.43/4.67 (define @t421 () (tptp.relation_image @t2 @t1)) % 4.43/4.67 (define @t422 () (tptp.relation_inverse_image @t2 @t1)) % 4.43/4.67 (define @t423 () (tptp.relation_image @t2 @t422)) % 4.43/4.67 (define @t424 () (tptp.set_intersection2 @t123 @t1)) % 4.43/4.67 (define @t425 () (tptp.subset @t1 @t124)) % 4.43/4.67 (define @t426 () (tptp.relation_of2_as_subset @t76 @t41 @t2)) % 4.43/4.67 (define @t427 () (tptp.relation_rng @t76)) % 4.43/4.67 (define @t428 () (tptp.relation_of2_as_subset @t76 @t41 @t1)) % 4.43/4.67 (define @t429 () (tptp.relation_rng @t226)) % 4.43/4.67 (define @t430 () (tptp.relation_inverse_image @t41 @t2)) % 4.43/4.67 (define @t431 () (tptp.relation_restriction @t41 @t2)) % 4.43/4.67 (define @t432 () (tptp.relation_restriction @t2 @t1)) % 4.43/4.67 (define @t433 () (tptp.relation_dom_restriction @t2 @t1)) % 4.43/4.67 (define @t434 () (tptp.relation_field @t41)) % 4.43/4.67 (define @t435 () (tptp.in @t1 @t434)) % 4.43/4.67 (define @t436 () (tptp.subset @t1 @t41)) % 4.43/4.67 (define @t437 () (tptp.element @t1 @t2)) % 4.43/4.67 (define @t438 () (tptp.in @t1 @t197)) % 4.43/4.67 (define @t439 () (tptp.in @t209 @t41)) % 4.43/4.67 (define @t440 () (tptp.relation_field @t432)) % 4.43/4.67 (define @t441 () (tptp.apply @t41 @t1)) % 4.43/4.67 (define @t442 () (tptp.relation_composition @t41 @t2)) % 4.43/4.67 (define @t443 () (tptp.in @t1 (tptp.relation_dom @t442))) % 4.43/4.67 (define @t444 () (tptp.apply @t76 @t41)) % 4.43/4.67 (define @t445 () (and @t235 (tptp.quasi_total @t76 @t1 @t2) (tptp.relation_of2_as_subset @t76 @t1 @t2))) % 4.43/4.67 (define @t446 () (tptp.reflexive @t2)) % 4.43/4.67 (define @t447 () (tptp.connected @t2)) % 4.43/4.67 (define @t448 () (tptp.transitive @t2)) % 4.43/4.67 (define @t449 () (tptp.antisymmetric @t2)) % 4.43/4.67 (define @t450 () (tptp.well_ordering @t432)) % 4.43/4.67 (define @t451 () (= @t440 @t1)) % 4.43/4.67 (define @t452 () (tptp.well_orders @t2 @t1)) % 4.43/4.67 (define @t453 () (tptp.well_founded_relation @t2)) % 4.43/4.67 (define @t454 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 4.43/4.67 (define @t455 () (and @t78 @t150)) % 4.43/4.67 (define @t456 () (not @t221)) % 4.43/4.67 (define @t457 () (= @t1 @t394)) % 4.43/4.67 (define @t458 () (tptp.subset_complement @t1 @t41)) % 4.43/4.67 (define @t459 () (tptp.disjoint @t2 @t41)) % 4.43/4.67 (define @t460 () (tptp.relation_dom @t226)) % 4.43/4.67 (define @t461 () (and (tptp.closed_subset @t76 @t1) @t384)) % 4.43/4.67 (define @t462 () (=> @t230 @t405)) % 4.43/4.67 (define @t463 () (forall @t6 @t462)) % 4.43/4.67 (define @t464 () (tptp.element @t2 @t418)) % 4.43/4.67 (define @t465 () (tptp.in @t41 @t66)) % 4.43/4.67 (define @t466 () (= @t114 @t2)) % 4.43/4.67 (define @t467 () (and (tptp.in @t41 @t204) (= @t76 @t397))) % 4.43/4.67 (define @t468 () (tptp.function_inverse @t2)) % 4.43/4.67 (define @t469 () (= @t204 tptp.empty_set)) % 4.43/4.67 (define @t470 () (= @t97 tptp.empty_set)) % 4.43/4.67 (define @t471 () (= (tptp.apply @t308 @t2) (tptp.apply @t41 @t2))) % 4.43/4.67 (define @t472 () (= @t142 (tptp.unordered_pair @t2 @t41))) % 4.43/4.67 (define @t473 () (not @t230)) % 4.43/4.67 (define @t474 () (or @t473 @t133 @t413)) % 4.43/4.67 (define @t475 () (not @t172)) % 4.43/4.67 (define @t476 () (forall @t6 @t474)) % 4.43/4.67 (define @t477 () (@quantifiers_skolemize @t476 1)) % 4.43/4.67 (define @t478 () (@quantifiers_skolemize @t476 0)) % 4.43/4.67 (define @t479 () (tptp.complements_of_subsets @t478 @t477)) % 4.43/4.67 (define @t480 () (tptp.union_of_subsets @t478 @t479)) % 4.43/4.67 (define @t481 () (= @t480 (tptp.subset_complement @t478 (tptp.meet_of_subsets @t478 @t477)))) % 4.43/4.67 (define @t482 () (= tptp.empty_set @t477)) % 4.43/4.67 (define @t483 () (tptp.powerset @t478)) % 4.43/4.67 (define @t484 () (tptp.powerset @t483)) % 4.43/4.67 (define @t485 () (tptp.element @t477 @t484)) % 4.43/4.67 (define @t486 () (not @t485)) % 4.43/4.67 (define @t487 () (or @t486 @t482 @t481)) % 4.43/4.67 (define @t488 () (not @t487)) % 4.43/4.67 (define @t489 () (not @t476)) % 4.43/4.67 (define @t490 () (= @t477 tptp.empty_set)) % 4.43/4.67 (define @t491 () (or @t486 @t490 @t481)) % 4.43/4.67 (define @t492 () (not @t491)) % 4.43/4.67 (define @t493 () (@list true)) % 4.43/4.67 (define @t494 () (not @t481)) % 4.43/4.67 (define @t495 () (@list @t487)) % 4.43/4.67 (define @t496 () (= @t2 @t294)) % 4.43/4.67 (define @t497 () (@list @t478 @t477)) % 4.43/4.67 (define @t498 () (tptp.complements_of_subsets @t478 @t479)) % 4.43/4.67 (define @t499 () (= @t477 @t498)) % 4.43/4.67 (define @t500 () (or @t486 @t499)) % 4.43/4.67 (define @t501 () (@list false false)) % 4.43/4.67 (define @t502 () (or @t473 @t133 @t409)) % 4.43/4.67 (define @t503 () (tptp.subset_complement @t478 @t480)) % 4.43/4.67 (define @t504 () (tptp.meet_of_subsets @t478 @t498)) % 4.43/4.67 (define @t505 () (= @t504 @t503)) % 4.43/4.67 (define @t506 () (tptp.element @t479 @t484)) % 4.43/4.67 (define @t507 () (not @t506)) % 4.43/4.67 (define @t508 () (or @t507 (= @t479 tptp.empty_set) @t505)) % 4.43/4.67 (define @t509 () (forall @t6 @t502)) % 4.43/4.67 (define @t510 () (@list @t478 @t479)) % 4.43/4.67 (define @t511 () (= tptp.empty_set @t479)) % 4.43/4.67 (define @t512 () (or @t507 @t511 @t505)) % 4.43/4.67 (define @t513 () (@list false)) % 4.43/4.67 (define @t514 () (= tptp.empty_set @t228)) % 4.43/4.67 (define @t515 () (not @t514)) % 4.43/4.67 (define @t516 () (or @t473 @t133 @t515)) % 4.43/4.67 (define @t517 () (not (and @t172 @t514))) % 4.43/4.67 (define @t518 () (not @t511)) % 4.43/4.67 (define @t519 () (or @t486 @t490 @t518)) % 4.43/4.67 (define @t520 () (forall @t6 @t516)) % 4.43/4.67 (define @t521 () (or @t486 @t482 @t518)) % 4.43/4.67 (define @t522 () (@list false true false)) % 4.43/4.67 (define @t523 () (or @t486 @t506)) % 4.43/4.67 (define @t524 () (= @t2 @t291)) % 4.43/4.67 (define @t525 () (tptp.element @t480 @t483)) % 4.43/4.67 (define @t526 () (or @t507 @t525)) % 4.43/4.67 (define @t527 () (tptp.subset_complement @t478 @t503)) % 4.43/4.67 (define @t528 () (= @t480 @t527)) % 4.43/4.67 (define @t529 () (not @t525)) % 4.43/4.67 (define @t530 () (or @t529 @t528)) % 4.43/4.67 (define @t531 () (not @t528)) % 4.43/4.67 (define @t532 () (not @t505)) % 4.43/4.67 (define @t533 () (not @t499)) % 4.43/4.67 (define @t534 () (and @t531 @t528)) % 4.43/4.67 (assume @p1 (forall @t6 (=> @t5 @t4))) % 4.43/4.67 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 4.43/4.67 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 4.43/4.67 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 4.43/4.67 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 4.43/4.67 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 4.43/4.67 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 4.43/4.67 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 4.43/4.67 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 4.43/4.67 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 4.43/4.67 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 4.43/4.67 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 4.43/4.67 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 4.43/4.67 (assume @p14 (forall @t13 (=> @t22 @t33))) % 4.43/4.67 (assume @p15 (forall @t13 (=> @t35 @t34))) % 4.43/4.67 (assume @p16 (forall @t13 (=> @t22 @t36))) % 4.43/4.67 (assume @p17 (forall @t13 (=> @t21 @t19))) % 4.43/4.67 (assume @p18 (forall @t13 (=> @t32 @t39))) % 4.43/4.67 (assume @p19 (forall @t13 (=> @t22 @t40))) % 4.43/4.67 (assume @p20 (forall @t45 (=> @t44 @t42))) % 4.43/4.67 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 4.43/4.67 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 4.43/4.67 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 4.43/4.67 (assume @p24 (forall @t13 (=> @t34 @t35))) % 4.43/4.67 (assume @p25 (forall @t13 (=> @t51 @t50))) % 4.43/4.67 (assume @p26 (forall @t13 (=> @t19 @t17))) % 4.43/4.67 (assume @p27 (forall @t13 (=> @t39 @t32))) % 4.43/4.67 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 4.43/4.67 (assume @p29 (forall @t13 (=> @t17 @t15))) % 4.43/4.67 (assume @p30 (forall @t13 (=> @t22 @t52))) % 4.43/4.67 (assume @p31 (forall @t13 (=> @t15 @t12))) % 4.43/4.67 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 4.43/4.67 (assume @p33 (forall @t6 (= @t55 @t54))) % 4.43/4.67 (assume @p34 (forall @t45 (=> @t64 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 4.43/4.67 (assume @p35 (forall @t6 (= @t66 @t65))) % 4.43/4.67 (assume @p36 (forall @t45 (=> @t70 (= @t67 (tptp.meet_commut @t1 @t41 @t2))))) % 4.43/4.67 (assume @p37 (forall @t45 (=> @t73 (= @t71 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 4.43/4.67 (assume @p38 (forall @t6 (=> @t75 (or @t74 (tptp.ordinal_subset @t2 @t1))))) % 4.43/4.67 (assume @p39 (forall @t6 (=> @t84 (= @t83 (forall @t81 (= @t80 (and @t78 @t77))))))) % 4.43/4.67 (assume @p40 (forall @t6 (= @t87 (and @t86 @t85)))) % 4.43/4.67 (assume @p41 (forall @t13 (=> @t40 (forall @t95 (=> @t42 (= (= @t41 @t94) (forall @t93 (= @t92 (and @t91 @t90))))))))) % 4.43/4.67 (assume @p42 (forall @t13 (=> @t103 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t97) @t96 (= @t76 (tptp.apply @t1 @t88))))))))))) % 4.43/4.67 (assume @p43 (forall @t6 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t105) (forall @t93 (= @t92 (and @t104 (tptp.in @t89 @t2)))))))))) % 4.43/4.67 (assume @p44 (forall @t13 (=> @t40 (= @t108 (tptp.is_antisymmetric_in @t1 @t107))))) % 4.43/4.67 (assume @p45 (forall @t13 (=> @t103 (forall @t95 (= @t111 (forall @t100 (= @t99 (and @t110 (tptp.in @t109 @t2))))))))) % 4.43/4.67 (assume @p46 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> @t115 (= (= @t41 @t114) (forall @t100 (=> (tptp.in @t76 @t57) (= @t99 (forall @t98 (=> @t113 (not (and (tptp.open_subset @t88 @t1) (tptp.in @t76 @t88) (tptp.disjoint @t2 @t88)))))))))))))))) % 4.43/4.67 (assume @p47 (forall @t13 (=> @t40 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t118 @t1) @t96))))))))) % 4.43/4.67 (assume @p48 (forall @t13 (=> @t40 (forall @t95 (= @t111 (forall @t100 (= @t99 (exists @t98 (and @t90 @t96))))))))) % 4.43/4.67 (assume @p49 (forall @t13 (=> @t40 (= @t119 (tptp.is_connected_in @t1 @t107))))) % 4.43/4.67 (assume @p50 (forall @t13 (=> @t40 (= @t120 (tptp.is_transitive_in @t1 @t107))))) % 4.43/4.67 (assume @p51 (forall @t122 (= (= @t76 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t98 (= @t121 (not (and (not (= @t88 @t1)) (not (= @t88 @t2)) (not (= @t88 @t41))))))))) % 4.43/4.67 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t84 @t125 (= @t124 @t1) (tptp.in @t123 tptp.omega)))))) % 4.43/4.67 (assume @p53 (forall @t13 (= @t36 (forall @t129 (=> (and @t128 @t126) @t77))))) % 4.43/4.67 (assume @p54 (forall @t45 (=> @t135 (and (=> (=> @t133 @t132) (= @t131 (= @t1 @t134))) (=> @t133 (or @t132 (= @t131 @t130))))))) % 4.43/4.67 (assume @p55 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t137 (tptp.apply_binary_as_element @t57 @t57 @t57 @t136 @t2 @t41))))))))) % 4.43/4.67 (assume @p56 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t81 (=> @t140 @t139))))))) % 4.43/4.67 (assume @p57 (forall @t13 (= @t143 (tptp.set_union2 @t1 @t142)))) % 4.43/4.67 (assume @p58 (forall @t13 (=> @t117 (= @t149 (and (tptp.in @t57 @t144) (forall @t11 (=> @t148 (=> (tptp.subset @t2 @t144) (tptp.in @t146 @t144)))) (forall @t11 (=> @t116 (forall @t106 (=> @t115 (=> (and @t145 (tptp.in @t41 @t144)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t144))))))))))) % 4.43/4.67 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t81 (not (= @t2 @t79))))))))) % 4.43/4.67 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t151 (forall @t106 (=> @t150 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 4.43/4.67 (assume @p61 (forall @t45 (= @t152 (tptp.subset @t41 @t43)))) % 4.43/4.67 (assume @p62 (forall @t6 (and (=> @t156 (= @t153 (forall @t106 (= @t150 (forall @t100 (=> @t155 @t154)))))) (=> @t132 (= @t153 @t133))))) % 4.43/4.67 (assume @p63 (forall @t13 (=> @t158 (= @t62 @t157)))) % 4.43/4.67 (assume @p64 (forall @t6 (= (= @t2 @t142) (forall @t106 (= @t150 (= @t41 @t1)))))) % 4.43/4.67 (assume @p65 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t160 (tptp.subset_complement @t57 (tptp.topstr_closure @t1 @t159)))))))) % 4.43/4.67 (assume @p66 (forall @t13 (=> @t40 (forall @t95 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t100 (= @t99 (and (not @t161) (tptp.in (tptp.ordered_pair @t76 @t2) @t1))))))))) % 4.43/4.67 (assume @p67 (forall @t6 (=> @t84 (= (= @t2 @t164) (and (= @t163 @t1) (forall @t81 (=> (and @t78 @t155) (= @t80 @t162)))))))) % 4.43/4.67 (assume @p68 (forall @t13 (= @t132 (forall @t11 @t4)))) % 4.43/4.67 (assume @p69 (forall @t6 (= (= @t2 @t24) (forall @t106 (= @t150 (tptp.subset @t41 @t1)))))) % 4.43/4.67 (assume @p70 (forall @t13 (=> (and @t63 @t68) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t166 (tptp.apply_binary_as_element @t57 @t57 @t57 @t165 @t2 @t41))))))))) % 4.43/4.67 (assume @p71 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t81 (=> @t140 @t167))))))) % 4.43/4.67 (assume @p72 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t85))))) % 4.43/4.67 (assume @p73 (forall @t13 (=> @t158 (= @t168 tptp.empty_set)))) % 4.43/4.67 (assume @p74 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t87 (forall @t81 (= @t169 @t80)))))))) % 4.43/4.67 (assume @p75 (forall @t6 (and (=> @t171 (= @t10 @t3)) (=> @t22 (= @t10 @t170))))) % 4.43/4.67 (assume @p76 (forall @t45 (= (= @t41 @t53) (forall @t100 (= @t99 (or (= @t76 @t1) @t161)))))) % 4.43/4.67 (assume @p77 (forall @t13 (=> @t40 (= @t173 (forall @t11 (not (and (tptp.subset @t2 @t107) @t172 (forall @t106 (not (and @t150 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 4.43/4.67 (assume @p78 (forall @t45 (= (= @t41 @t55) (forall @t100 (= @t99 (or @t155 @t91)))))) % 4.43/4.67 (assume @p79 (forall @t45 (= (= @t41 @t43) (forall @t100 (= @t99 (exists @t177 (and @t104 @t176 (= @t76 @t175)))))))) % 4.43/4.67 (assume @p80 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t178 (= @t137 @t41))))))))) % 4.43/4.67 (assume @p81 (forall @t13 (= @t37 (forall @t95 (not (and @t3 @t78 (not @t181) @t180 @t179)))))) % 4.43/4.67 (assume @p82 (forall @t13 (=> @t158 (= @t182 @t57)))) % 4.43/4.67 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t86 (forall @t81 (=> @t169 @t80)))))))) % 4.43/4.67 (assume @p84 (forall @t6 (= @t86 @t183))) % 4.43/4.67 (assume @p85 (forall @t13 (=> @t40 (forall @t11 (= @t186 (forall @t106 (not (and @t185 @t184 (forall @t100 (not (and @t99 (tptp.disjoint (tptp.fiber @t1 @t76) @t41)))))))))))) % 4.43/4.67 (assume @p86 (forall @t45 (= (= @t41 @t66) (forall @t100 (= @t99 (and @t155 @t91)))))) % 4.43/4.67 (assume @p87 (forall @t13 (=> @t103 (forall @t95 (and (=> @t189 (= @t188 @t128)) (=> (not @t189) (= @t188 @t130))))))) % 4.43/4.67 (assume @p88 (forall @t13 (= @t32 @t39))) % 4.43/4.67 (assume @p89 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t97) (forall @t106 (= @t150 (exists @t100 @t169)))))))) % 4.43/4.67 (assume @p90 (forall @t13 (=> @t40 (forall @t11 (= @t191 (forall @t81 (=> (and @t150 @t91 @t169 @t190) @t77))))))) % 4.43/4.67 (assume @p91 (forall @t13 (= @t192 @t1))) % 4.43/4.67 (assume @p92 (forall @t6 (= (= @t2 @t193) (forall @t106 (= @t150 (exists @t100 (and @t154 @t155))))))) % 4.43/4.67 (assume @p93 (forall @t13 (=> @t40 (= @t195 (and @t194 @t120 @t108 @t119 @t173))))) % 4.43/4.67 (assume @p94 (forall @t6 (= @t201 (exists @t106 (and @t42 @t200 @t199 @t198 (= @t196 @t2)))))) % 4.43/4.67 (assume @p95 (forall @t45 (= (= @t41 @t202) (forall @t100 (= @t99 (and @t155 (not @t91))))))) % 4.43/4.67 (assume @p96 (forall @t13 (=> @t103 (forall @t11 (= @t205 (forall @t106 (= @t150 (exists @t100 @t203)))))))) % 4.43/4.67 (assume @p97 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t206 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t86))))))) % 4.43/4.67 (assume @p98 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t207 @t145)))))) % 4.43/4.67 (assume @p99 (forall @t13 (=> @t40 (forall @t11 (= @t205 (forall @t106 (= @t150 (exists @t100 @t190)))))))) % 4.43/4.67 (assume @p100 (forall @t6 (=> @t25 (= @t208 @t202)))) % 4.43/4.67 (assume @p101 (forall @t6 (= @t209 (tptp.unordered_pair @t53 @t142)))) % 4.43/4.67 (assume @p102 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t151 @t211 @t191 @t210 @t186)))))) % 4.43/4.67 (assume @p103 (forall @t13 (= @t206 (= @t1 @t193)))) % 4.43/4.67 (assume @p104 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t213 (tptp.open_subset @t212 @t1))))))) % 4.43/4.67 (assume @p105 (forall @t13 (=> @t40 (= @t107 (tptp.set_union2 @t97 @t204))))) % 4.43/4.67 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (= @t210 (forall @t81 (not (and @t150 @t91 (not @t77) (not @t169) (not @t190))))))))) % 4.43/4.67 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (= @t215 (tptp.set_intersection2 @t1 @t214)))))) % 4.43/4.67 (assume @p108 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= (= @t2 @t216) (forall @t81 (= @t80 @t190)))))))) % 4.43/4.67 (assume @p109 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t220 (= @t219 (and (= @t197 @t107) (= @t196 @t163) @t199 (forall @t93 (= @t90 (and (tptp.in @t76 @t107) (tptp.in @t88 @t107) (tptp.in (tptp.ordered_pair @t218 @t217) @t2))))))))))))) % 4.43/4.67 (assume @p110 (forall @t6 (= @t221 (= @t66 tptp.empty_set)))) % 4.43/4.67 (assume @p111 (forall @t13 (=> @t103 (= @t49 (forall @t95 (=> (and @t189 (tptp.in @t41 @t97) (= @t187 (tptp.apply @t1 @t41))) @t139)))))) % 4.43/4.67 (assume @p112 (forall @t13 (=> (and @t63 @t223) (= @t222 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= (tptp.join @t1 @t166 @t41) @t41))))))))) % 4.43/4.67 (assume @p113 (forall @t13 (=> @t158 (forall @t11 (=> @t148 (= @t224 (= @t182 @t146))))))) % 4.43/4.67 (assume @p114 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t226) (forall @t93 (= @t92 (exists @t225 (and (tptp.in (tptp.ordered_pair @t76 @t174) @t1) (tptp.in (tptp.ordered_pair @t174 @t88) @t2))))))))))))) % 4.43/4.67 (assume @p115 (forall @t13 (=> @t40 (forall @t11 (= @t211 (forall @t227 (=> (and @t150 @t91 @t96 @t169 @t90) (tptp.in (tptp.ordered_pair @t41 @t88) @t1)))))))) % 4.43/4.67 (assume @p116 (forall @t6 (=> @t230 (forall @t106 (=> (tptp.element @t41 @t229) (= (= @t41 @t228) (forall @t100 (=> (tptp.element @t76 @t24) (= @t99 (tptp.in (tptp.subset_complement @t1 @t76) @t2)))))))))) % 4.43/4.67 (assume @p117 (forall @t6 (= @t8 (and @t86 @t231)))) % 4.43/4.67 (assume @p118 (forall @t13 (=> @t103 (=> @t49 (= @t232 @t216))))) % 4.43/4.67 (assume @p119 (forall @t13 (=> @t40 (= @t194 (tptp.is_reflexive_in @t1 @t107))))) % 4.43/4.67 (assume @p120 true) % 4.43/4.67 (assume @p121 (forall @t45 (=> (and @t63 @t60 @t59 @t58) (tptp.element @t137 @t57)))) % 4.43/4.67 (assume @p122 (forall @t13 (=> @t158 (tptp.element @t168 @t112)))) % 4.43/4.67 (assume @p123 (forall @t6 (=> @t233 (tptp.element @t160 @t112)))) % 4.43/4.67 (assume @p124 (forall @t13 (tptp.relation @t164))) % 4.43/4.67 (assume @p125 (forall @t238 (=> @t237 (tptp.element @t234 @t41)))) % 4.43/4.67 (assume @p126 (forall @t13 (=> @t103 (and (tptp.relation @t232) (tptp.function @t232))))) % 4.43/4.67 (assume @p127 (forall @t45 (=> (and @t63 @t68 @t59 @t58) (tptp.element @t166 @t57)))) % 4.43/4.67 (assume @p128 (forall @t13 (=> @t158 (tptp.element @t182 @t112)))) % 4.43/4.67 (assume @p129 (forall @t13 (tptp.element @t192 @t24))) % 4.43/4.67 (assume @p130 (forall @t6 (=> @t40 (tptp.relation @t215)))) % 4.43/4.67 (assume @p131 (forall @t45 (=> @t64 (tptp.element @t56 @t57)))) % 4.43/4.67 (assume @p132 (forall @t6 (=> @t25 (tptp.element @t208 @t24)))) % 4.43/4.67 (assume @p133 (forall @t45 (=> @t70 (tptp.element @t67 @t57)))) % 4.43/4.67 (assume @p134 (forall @t13 (=> @t40 @t239))) % 4.43/4.67 (assume @p135 (forall @t45 (=> @t152 (tptp.element @t134 @t24)))) % 4.43/4.67 (assume @p136 (forall @t6 (=> @t241 @t240))) % 4.43/4.67 (assume @p137 (forall @t45 (=> @t152 (tptp.element @t243 @t242)))) % 4.43/4.67 (assume @p138 @t246) % 4.43/4.67 (assume @p139 (forall @t45 (=> @t73 (tptp.element @t71 @t24)))) % 4.43/4.67 (assume @p140 (forall @t6 (=> @t233 (tptp.element @t114 @t112)))) % 4.43/4.67 (assume @p141 (forall @t13 @t247)) % 4.43/4.67 (assume @p142 (forall @t6 (=> @t230 (tptp.element @t248 @t24)))) % 4.43/4.67 (assume @p143 (forall @t45 (=> @t73 (tptp.element @t249 @t24)))) % 4.43/4.67 (assume @p144 (forall @t6 (=> @t40 @t250))) % 4.43/4.67 (assume @p145 @t252) % 4.43/4.67 (assume @p146 (forall @t6 (=> @t84 @t253))) % 4.43/4.67 (assume @p147 (forall @t13 (=> @t68 @t158))) % 4.43/4.67 (assume @p148 (forall @t13 (=> @t117 @t158))) % 4.43/4.67 (assume @p149 (forall @t13 (=> @t60 @t158))) % 4.43/4.67 (assume @p150 (forall @t13 (=> @t223 (and @t68 @t60)))) % 4.43/4.67 (assume @p151 (forall @t45 (=> @t135 @t44))) % 4.43/4.67 (assume @p152 (forall @t13 (=> @t68 (and (tptp.function @t165) (tptp.quasi_total @t165 @t254 @t57) (tptp.relation_of2_as_subset @t165 @t254 @t57))))) % 4.43/4.67 (assume @p153 (forall @t13 (=> @t117 (tptp.element @t144 @t147)))) % 4.43/4.67 (assume @p154 (forall @t13 (=> @t60 (and (tptp.function @t136) (tptp.quasi_total @t136 @t254 @t57) (tptp.relation_of2_as_subset @t136 @t254 @t57))))) % 4.43/4.67 (assume @p155 (exists @t13 @t68)) % 4.43/4.67 (assume @p156 (exists @t13 @t117)) % 4.43/4.67 (assume @p157 (exists @t13 @t158)) % 4.43/4.67 (assume @p158 (exists @t13 @t60)) % 4.43/4.67 (assume @p159 (exists @t13 @t223)) % 4.43/4.67 (assume @p160 (forall @t6 (exists @t106 @t152))) % 4.43/4.67 (assume @p161 (forall @t13 (exists @t11 @t10))) % 4.43/4.67 (assume @p162 (forall @t6 (exists @t106 @t135))) % 4.43/4.67 (assume @p163 (forall @t6 (=> @t48 @t255))) % 4.43/4.67 (assume @p164 (forall @t6 (=> @t257 (and (tptp.empty @t256) (tptp.relation @t256))))) % 4.43/4.67 (assume @p165 (forall @t6 (=> @t33 @t255))) % 4.43/4.67 (assume @p166 (forall @t13 (=> @t22 (and (tptp.empty @t216) @t239)))) % 4.43/4.67 (assume @p167 (forall @t6 (=> @t33 (tptp.finite @t202)))) % 4.43/4.67 (assume @p168 (and @t260 @t259 @t258)) % 4.43/4.67 (assume @p169 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t101)))) % 4.43/4.67 (assume @p170 (forall @t6 (=> @t262 (and @t250 (tptp.relation_empty_yielding @t94))))) % 4.43/4.67 (assume @p171 (forall @t13 (and @t263 (tptp.finite @t142)))) % 4.43/4.67 (assume @p172 (forall @t13 (and @t264 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 4.43/4.67 (assume @p173 (forall @t6 (=> (and @t40 @t36 @t84 @t125) (and @t240 (tptp.function @t226))))) % 4.43/4.67 (assume @p174 (forall @t13 @t265)) % 4.43/4.67 (assume @p175 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 4.43/4.67 (assume @p176 (forall @t13 (=> @t158 (and (tptp.empty @t168) (tptp.v1_membered @t168) (tptp.v2_membered @t168) (tptp.v3_membered @t168) (tptp.v4_membered @t168) (tptp.v5_membered @t168))))) % 4.43/4.67 (assume @p177 (forall @t6 (=> @t241 (tptp.relation @t66)))) % 4.43/4.67 (assume @p178 (forall @t13 (=> @t266 (not @t157)))) % 4.43/4.67 (assume @p179 (forall @t13 @t264)) % 4.43/4.67 (assume @p180 @t260) % 4.43/4.67 (assume @p181 (forall @t6 (not (tptp.empty @t209)))) % 4.43/4.67 (assume @p182 (forall @t6 (=> @t12 @t267))) % 4.43/4.67 (assume @p183 (forall @t6 (=> @t12 @t268))) % 4.43/4.67 (assume @p184 (forall @t6 (=> @t15 (and @t267 @t269)))) % 4.43/4.67 (assume @p185 (forall @t13 (=> (and @t32 @t46) (and @t265 @t272 @t271 @t270 (tptp.natural @t143))))) % 4.43/4.67 (assume @p186 (forall @t13 (and @t247 (tptp.function @t82)))) % 4.43/4.67 (assume @p187 (and @t259 @t258 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t260 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 4.43/4.67 (assume @p188 (forall @t13 (=> @t266 (not (tptp.empty @t182))))) % 4.43/4.67 (assume @p189 (forall @t6 (=> @t241 (tptp.relation @t55)))) % 4.43/4.67 (assume @p190 (forall @t13 @t263)) % 4.43/4.67 (assume @p191 (forall @t6 (=> @t273 (tptp.closed_subset @t114 @t1)))) % 4.43/4.67 (assume @p192 (forall @t6 (=> @t171 (not (tptp.empty @t55))))) % 4.43/4.67 (assume @p193 (forall @t6 (=> @t15 (and @t268 @t274)))) % 4.43/4.67 (assume @p194 (forall @t6 (=> @t17 (and @t267 @t269 @t275)))) % 4.43/4.67 (assume @p195 (forall @t6 (=> @t17 (and @t268 @t274 @t276)))) % 4.43/4.67 (assume @p196 (forall @t6 (=> @t19 (and @t267 @t269 @t275 @t277)))) % 4.43/4.67 (assume @p197 (forall @t6 (=> @t19 (and @t268 @t274 @t276 @t278)))) % 4.43/4.67 (assume @p198 (forall @t6 (=> @t21 (and @t267 @t269 @t275 @t277 (tptp.v5_membered @t66))))) % 4.43/4.67 (assume @p199 (forall @t6 (=> @t21 (and @t268 @t274 @t276 @t278 (tptp.v5_membered @t65))))) % 4.43/4.67 (assume @p200 (forall @t6 (=> @t12 @t279))) % 4.43/4.67 (assume @p201 (forall @t6 (=> @t15 (and @t279 @t280)))) % 4.43/4.67 (assume @p202 (forall @t6 (=> @t17 (and @t279 @t280 @t281)))) % 4.43/4.67 (assume @p203 (forall @t13 (=> @t50 (and @t239 (tptp.function @t216))))) % 4.43/4.67 (assume @p204 (forall @t13 (=> @t32 (and @t265 @t272 @t271 @t270)))) % 4.43/4.67 (assume @p205 (forall @t6 (=> @t241 (tptp.relation @t202)))) % 4.43/4.67 (assume @p206 (forall @t6 (not (tptp.empty @t53)))) % 4.43/4.67 (assume @p207 (forall @t6 (=> (and @t149 @t117 @t213 @t116) @t282))) % 4.43/4.67 (assume @p208 (forall @t6 (=> @t171 (not (tptp.empty @t54))))) % 4.43/4.67 (assume @p209 (forall @t6 (=> @t19 (and @t279 @t280 @t281 @t283)))) % 4.43/4.67 (assume @p210 (forall @t6 (=> @t21 (and @t279 @t280 @t281 @t283 (tptp.v5_membered @t202))))) % 4.43/4.67 (assume @p211 (forall @t6 (=> @t103 (and @t250 (tptp.function @t94))))) % 4.43/4.67 (assume @p212 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t193) (tptp.epsilon_connected @t193) (tptp.ordinal @t193))))) % 4.43/4.67 (assume @p213 (and @t260 @t259)) % 4.43/4.67 (assume @p214 (forall @t6 (=> (and @t171 @t236) (not (tptp.empty @t43))))) % 4.43/4.67 (assume @p215 (forall @t6 (=> (and @t149 @t117 @t207 @t116) @t284))) % 4.43/4.67 (assume @p216 (forall @t6 (=> @t285 (and @t253 (tptp.function @t105))))) % 4.43/4.67 (assume @p217 (forall @t13 (=> @t286 (tptp.closed_subset @t182 @t1)))) % 4.43/4.67 (assume @p218 (forall @t13 (=> @t288 (not @t287)))) % 4.43/4.67 (assume @p219 (and @t260 (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 4.43/4.67 (assume @p220 (forall @t13 (=> @t288 (not @t289)))) % 4.43/4.67 (assume @p221 (forall @t6 (=> @t273 @t290))) % 4.43/4.67 (assume @p222 (forall @t13 (=> @t22 (and @t287 (tptp.relation @t97))))) % 4.43/4.67 (assume @p223 (forall @t13 (=> @t22 (and @t289 (tptp.relation @t204))))) % 4.43/4.67 (assume @p224 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 4.43/4.67 (assume @p225 (forall @t6 (=> @t257 (and (tptp.empty @t226) @t240)))) % 4.43/4.67 (assume @p226 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 4.43/4.67 (assume @p227 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 4.43/4.67 (assume @p228 (forall @t45 (=> @t73 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 4.43/4.67 (assume @p229 @t293) % 4.43/4.67 (assume @p230 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t216) @t1)))) % 4.43/4.67 (assume @p231 @t296) % 4.43/4.67 (assume @p232 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 4.43/4.67 (assume @p233 (forall @t13 (=> @t40 (= @t194 (forall @t11 (=> @t297 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 4.43/4.67 (assume @p234 (forall @t13 (not (= @t142 tptp.empty_set)))) % 4.43/4.67 (assume @p235 (forall @t6 (=> @t5 (= (tptp.set_union2 @t142 @t2) @t2)))) % 4.43/4.67 (assume @p236 (forall @t6 (not (and @t298 @t5)))) % 4.43/4.67 (assume @p237 (forall @t6 (=> @t299 @t298))) % 4.43/4.67 (assume @p238 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_dom @t105) @t123)))) % 4.43/4.67 (assume @p239 (forall @t13 (=> @t40 (= @t120 (forall @t129 (=> (and @t128 @t169) @t126)))))) % 4.43/4.67 (assume @p240 (forall @t6 (= (tptp.subset @t142 @t2) @t5))) % 4.43/4.67 (assume @p241 (forall @t6 (=> @t84 (not (and @t300 (tptp.equipotent @t1 @t163) (forall @t106 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 4.43/4.67 (assume @p242 (forall @t6 (= (= @t202 tptp.empty_set) @t86))) % 4.43/4.67 (assume @p243 (forall @t6 (=> @t25 (forall @t106 (=> @t150 @t78))))) % 4.43/4.67 (assume @p244 (forall @t13 (=> @t40 (= @t108 (forall @t95 (=> (and @t128 @t301) @t139)))))) % 4.43/4.67 (assume @p245 (forall @t45 (=> @t86 (or @t78 (tptp.subset @t1 (tptp.set_difference @t2 @t302)))))) % 4.43/4.67 (assume @p246 (forall @t13 (=> @t266 (forall @t11 (=> @t116 (forall @t106 (=> @t58 (= (tptp.in @t41 @t159) @t179)))))))) % 4.43/4.67 (assume @p247 (forall @t13 (=> @t40 (= @t119 (forall @t95 (not (and @t297 (tptp.in @t41 @t107) @t180 @t303 (not @t301)))))))) % 4.43/4.67 (assume @p248 (forall @t6 (= (tptp.subset @t1 @t304) (or @t132 (= @t1 @t304))))) % 4.43/4.67 (assume @p249 (forall @t6 (=> @t5 (tptp.subset @t1 @t305)))) % 4.43/4.67 (assume @p250 (forall @t122 (= (tptp.in @t209 (tptp.cartesian_product2 @t41 @t76)) (and @t306 (tptp.in @t2 @t76))))) % 4.43/4.67 (assume @p251 (forall @t6 (=> @t183 @t307))) % 4.43/4.67 (assume @p252 (forall @t45 (=> @t220 (= @t309 (and (tptp.in @t2 @t197) @t3))))) % 4.43/4.67 (assume @p253 (exists @t13 (and @t171 @t38 @t37 @t32 @t46))) % 4.43/4.67 (assume @p254 (exists @t13 (and @t171 @t33))) % 4.43/4.67 (assume @p255 (exists @t13 @t103)) % 4.43/4.67 (assume @p256 (forall @t6 (exists @t106 (and @t152 @t42 @t200 @t131)))) % 4.43/4.67 (assume @p257 (exists @t13 (and @t171 @t12 @t15 @t17 @t19 @t21))) % 4.43/4.67 (assume @p258 (exists @t13 @t52)) % 4.43/4.67 (assume @p259 (exists @t13 (and @t38 @t37 @t32 @t206))) % 4.43/4.67 (assume @p260 (exists @t13 (and @t40 @t36 @t49 @t22))) % 4.43/4.67 (assume @p261 (exists @t13 (and @t22 @t40))) % 4.43/4.67 (assume @p262 (forall @t13 (=> @t171 (exists @t11 (and @t25 @t236))))) % 4.43/4.67 (assume @p263 (forall @t13 (=> @t286 (exists @t11 (and @t116 @t207))))) % 4.43/4.67 (assume @p264 (exists @t13 @t22)) % 4.43/4.67 (assume @p265 (forall @t13 (exists @t11 (and @t25 @t170 @t84 @t125 @t310 @t31 @t30 @t29 @t20 @t48)))) % 4.43/4.67 (assume @p266 (exists @t13 @t51)) % 4.43/4.67 (assume @p267 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 4.43/4.67 (assume @p268 (forall @t6 (exists @t106 (and @t152 @t42 @t200)))) % 4.43/4.67 (assume @p269 (exists @t13 @t288)) % 4.43/4.67 (assume @p270 (forall @t13 (exists @t11 (and @t25 @t170)))) % 4.43/4.67 (assume @p271 (forall @t13 (=> @t286 (exists @t11 (and @t116 @t207 @t213))))) % 4.43/4.67 (assume @p272 (exists @t13 @t171)) % 4.43/4.67 (assume @p273 (forall @t13 (=> @t171 (exists @t11 (and @t25 @t236 @t48))))) % 4.43/4.67 (assume @p274 (exists @t13 @t50)) % 4.43/4.67 (assume @p275 (exists @t13 (and @t171 @t38 @t37 @t32))) % 4.43/4.67 (assume @p276 (exists @t13 @t262)) % 4.43/4.67 (assume @p277 (exists @t13 (and @t158 @t63))) % 4.43/4.67 (assume @p278 (exists @t13 (and @t40 @t261 @t36))) % 4.43/4.67 (assume @p279 (forall @t13 (=> @t266 (exists @t11 (and @t116 @t236))))) % 4.43/4.67 (assume @p280 (forall @t13 (=> @t286 (exists @t11 (and @t116 @t213))))) % 4.43/4.67 (assume @p281 (forall @t238 (=> @t237 (= @t234 (tptp.apply_binary @t76 @t88 @t174))))) % 4.43/4.67 (assume @p282 (forall @t45 (=> @t64 (= @t56 @t137)))) % 4.43/4.67 (assume @p283 (forall @t45 (=> @t70 (= @t67 @t166)))) % 4.43/4.67 (assume @p284 (forall @t45 (=> @t152 (= @t134 @t197)))) % 4.43/4.67 (assume @p285 (forall @t45 (=> @t152 (= @t243 @t196)))) % 4.43/4.67 (assume @p286 (forall @t6 (=> @t230 (= @t244 @t305)))) % 4.43/4.67 (assume @p287 (forall @t45 (=> @t73 (= @t71 @t311)))) % 4.43/4.67 (assume @p288 (forall @t6 (=> @t230 (= @t248 (tptp.set_meet @t2))))) % 4.43/4.67 (assume @p289 (forall @t45 (=> @t73 (= @t249 @t312)))) % 4.43/4.67 (assume @p290 (forall @t45 (= @t135 @t152))) % 4.43/4.67 (assume @p291 (forall @t6 (=> @t75 (= @t74 @t86)))) % 4.43/4.67 (assume @p292 (forall @t6 (= @t201 (tptp.are_equipotent @t1 @t2)))) % 4.43/4.67 (assume @p293 (forall @t6 (=> @t75 (tptp.ordinal_subset @t1 @t1)))) % 4.43/4.67 (assume @p294 (forall @t6 (tptp.subset @t1 @t1))) % 4.43/4.67 (assume @p295 (forall @t6 (tptp.equipotent @t1 @t1))) % 4.43/4.67 (assume @p296 (forall @t6 (=> @t330 (=> @t329 (exists @t106 (and @t42 @t200 (forall @t93 (= @t92 (and @t155 @t155 (exists @t317 (and (= @t76 @t314) (tptp.in @t88 @t314) (forall @t316 (=> @t315 (tptp.in (tptp.ordered_pair @t88 @t313) @t2)))))))))))))) % 4.43/4.67 (assume @p297 (forall @t13 (=> @t333 (exists @t11 (and @t84 @t125 (forall @t81 (= @t80 (and @t78 @t78 (= @t76 @t302))))))))) % 4.43/4.67 (assume @p298 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t106 (=> @t334 (=> @t78 (tptp.ordinal_subset @t2 @t41))))))))) % 4.43/4.67 (assume @p299 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t358)) (not (and @t156 (forall @t11 (not (and @t3 (forall @t106 (=> (and @t78 @t357) (= @t41 @t2))))))))))) (forall @t100 (=> @t341 (=> @t356 (=> (tptp.in @t355 tptp.omega) (forall @t323 (=> (tptp.element @t320 (tptp.powerset (tptp.powerset @t355))) (not (and (not (= @t320 tptp.empty_set)) (forall @t322 (not (and @t321 (forall @t317 (=> (and (tptp.in @t314 @t320) (tptp.subset @t319 @t314)) (= @t314 @t319)))))))))))))) (forall @t100 (=> @t341 (=> (and (tptp.being_limit_ordinal @t76) (forall @t316 (=> (tptp.ordinal @t313) (=> (tptp.in @t313 @t76) (=> (tptp.in @t313 tptp.omega) (forall @t354 (=> (tptp.element @t350 (tptp.powerset (tptp.powerset @t313))) (not (and (not (= @t350 tptp.empty_set)) (forall @t353 (not (and @t352 (forall @t351 (=> (and (tptp.in @t349 @t350) (tptp.subset @t348 @t349)) (= @t349 @t348))))))))))))))) (or (= @t76 tptp.empty_set) (=> @t340 (forall @t347 (=> (tptp.element @t344 @t338) (not (and (not (= @t344 tptp.empty_set)) (forall @t346 (not (and (tptp.in @t342 @t344) (forall @t345 (=> (and (tptp.in @t343 @t344) (tptp.subset @t342 @t343)) (= @t343 @t342)))))))))))))))) (forall @t100 (=> @t341 (=> @t340 (forall @t339 (=> (tptp.element @t337 @t338) (not (and (not (= @t337 tptp.empty_set)) (forall (@list @t335) (not (and (tptp.in @t335 @t337) (forall (@list @t336) (=> (and (tptp.in @t336 @t337) (tptp.subset @t335 @t336)) (= @t336 @t335))))))))))))))) % 4.43/4.67 (assume @p300 (forall @t45 (=> @t362 (exists @t100 (and @t361 (forall @t177 (= (tptp.in @t175 @t76) (and @t104 @t360 (tptp.in (tptp.ordered_pair @t217 @t359) @t2))))))))) % 4.43/4.67 (assume @p301 (forall @t6 (=> @t330 (=> @t329 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t104 @t104 (exists @t317 (and (= @t88 @t314) @t364 @t363))))))))))) % 4.43/4.67 (assume @p302 (forall @t6 (=> @t330 (forall @t106 (=> (forall @t375 (=> (and @t318 (exists @t374 (and (= @t373 @t88) @t372 (exists @t322 (and (= @t325 @t319) (tptp.in @t320 @t319) (forall @t317 (=> @t371 (tptp.in (tptp.ordered_pair @t320 @t314) @t2))))))) @t370 (exists @t369 (and (= @t368 @t174) (tptp.in @t313 @t1) (exists @t353 (and (= @t313 @t348) (tptp.in @t350 @t348) (forall @t351 (=> (tptp.in @t349 @t348) (tptp.in (tptp.ordered_pair @t350 @t349) @t2)))))))) @t367)) (exists @t100 (forall @t98 (= @t121 (exists @t225 (and (tptp.in @t174 @t366) @t365 (exists (@list @t344 @t342) (and (= (tptp.ordered_pair @t344 @t342) @t88) (tptp.in @t344 @t1) (exists @t345 (and (= @t344 @t343) (tptp.in @t342 @t343) (forall @t339 (=> (tptp.in @t337 @t343) (tptp.in (tptp.ordered_pair @t342 @t337) @t2))))))))))))))))) % 4.43/4.67 (assume @p303 (forall @t13 (=> @t333 (exists @t11 (forall @t106 (= @t150 (exists @t100 (and @t155 @t155 (= @t41 (tptp.singleton @t76)))))))))) % 4.43/4.67 (assume @p304 (forall @t6 (=> (forall @t227 (=> (and @t77 (exists @t380 (and (= @t379 @t76) @t360 (= @t325 (tptp.singleton @t174)))) @t378 (exists (@list @t320 @t319) (and (= (tptp.ordered_pair @t320 @t319) @t88) @t377 (= @t319 (tptp.singleton @t320))))) @t318)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t43) @t376 (exists (@list @t314 @t313) (and (= (tptp.ordered_pair @t314 @t313) @t76) (tptp.in @t314 @t1) (= @t313 (tptp.singleton @t314)))))))))))) % 4.43/4.67 (assume @p305 (forall @t13 (=> @t32 (=> (forall @t129 (=> (and @t139 (exists @t98 (and @t383 @t378 (=> (tptp.in @t88 tptp.omega) (forall @t225 (=> (tptp.element @t174 (tptp.powerset (tptp.powerset @t88))) @t382))))) @t167 (exists @t322 (and (tptp.ordinal @t319) (= @t76 @t319) (=> (tptp.in @t319 tptp.omega) (forall @t317 (=> (tptp.element @t314 (tptp.powerset (tptp.powerset @t319))) (not (and (not (= @t314 tptp.empty_set)) (forall @t316 (not (and @t315 (forall @t354 (=> (and (tptp.in @t350 @t314) (tptp.subset @t313 @t350)) (= @t350 @t313)))))))))))))) @t77)) (exists @t11 (forall @t106 (= @t150 (exists @t100 (and (tptp.in @t76 @t143) @t381 (exists @t353 (and (tptp.ordinal @t348) (= @t41 @t348) (=> (tptp.in @t348 tptp.omega) (forall @t351 (=> (tptp.element @t349 (tptp.powerset (tptp.powerset @t348))) (not (and (not (= @t349 tptp.empty_set)) (forall @t347 (not (and (tptp.in @t344 @t349) (forall @t346 (=> (and (tptp.in @t342 @t349) (tptp.subset @t344 @t342)) (= @t342 @t344)))))))))))))))))))))) % 4.43/4.67 (assume @p306 (forall @t6 (=> @t273 (=> (forall @t227 (=> (and @t77 (exists @t225 (and (tptp.element @t174 @t112) (= @t174 @t76) (tptp.closed_subset @t174 @t1) @t384)) @t378 (exists @t327 (and (tptp.element @t325 @t112) (= @t325 @t88) (tptp.closed_subset @t325 @t1) (tptp.subset @t2 @t88)))) @t318)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t385 @t376 (exists @t323 (and (tptp.element @t320 @t112) (= @t320 @t76) (tptp.closed_subset @t320 @t1) @t384))))))))))) % 4.43/4.67 (assume @p307 (forall @t6 (=> @t387 (=> (forall @t227 (=> (and @t77 @t386 @t378 (tptp.in (tptp.set_difference @t182 @t88) @t2)) @t318)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t385 @t376 @t386))))))))) % 4.43/4.67 (assume @p308 (forall @t6 (=> @t388 (=> (forall @t227 (=> (and @t77 (exists @t225 (and @t176 (= @t76 (tptp.set_difference @t174 @t142)))) @t378 (exists @t327 (and (tptp.in @t325 @t2) (= @t88 (tptp.set_difference @t325 @t142))))) @t318)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t24) @t376 (exists @t323 (and (tptp.in @t320 @t2) (= @t76 (tptp.set_difference @t320 @t142))))))))))))) % 4.43/4.67 (assume @p309 (forall @t45 (=> @t362 (=> (forall @t375 (=> (and @t318 (exists @t374 (and (= @t88 @t373) (tptp.in (tptp.ordered_pair @t390 (tptp.apply @t41 @t320)) @t2))) @t370 (exists (@list @t319 @t314) (and (= @t174 (tptp.ordered_pair @t319 @t314)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t319) (tptp.apply @t41 @t314)) @t2)))) @t367)) (exists @t100 (forall @t98 (= @t121 (exists @t225 (and (tptp.in @t174 @t389) @t365 (exists @t369 (and (= @t88 @t368) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t313) (tptp.apply @t41 @t350)) @t2)))))))))))) % 4.43/4.67 (assume @p310 (forall @t13 (=> (forall @t129 (=> (and @t139 @t334 @t167 @t341) @t77)) (exists @t11 (forall @t106 (= @t150 (exists @t100 (and @t155 @t381 @t334)))))))) % 4.43/4.67 (assume @p311 (forall @t45 (=> @t393 (=> (forall @t375 (=> (and @t318 @t391 @t370 (tptp.in (tptp.relation_image @t41 @t174) @t2)) @t367)) (exists @t100 (forall @t98 (= @t121 (exists @t225 (and (tptp.in @t174 @t392) @t365 @t391))))))))) % 4.43/4.67 (assume @p312 (forall @t6 (=> @t29 (=> (forall @t227 (=> (and @t77 (exists @t225 (and (tptp.ordinal @t174) @t370 @t360)) @t378 (exists @t327 (and (tptp.ordinal @t325) (= @t88 @t325) @t372))) @t318)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t394) @t376 (exists @t323 (and (tptp.ordinal @t320) (= @t76 @t320) @t377))))))))))) % 4.43/4.67 (assume @p313 (forall @t6 (=> @t330 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t366) (exists @t380 (and (= @t379 @t88) @t360 (exists @t323 (and (= @t174 @t320) (tptp.in @t325 @t320) (forall @t322 (=> @t321 (tptp.in (tptp.ordered_pair @t325 @t319) @t2))))))))))))))) % 4.43/4.67 (assume @p314 (forall @t6 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t43) (exists @t177 (and (= @t175 @t76) @t104 (= @t174 (tptp.singleton @t88)))))))))) % 4.43/4.67 (assume @p315 (forall @t13 (=> @t32 (exists @t11 (forall @t106 (= @t150 (and (tptp.in @t41 @t143) (exists @t100 (and @t341 @t77 @t356))))))))) % 4.43/4.67 (assume @p316 (forall @t6 (=> @t273 (exists @t106 (forall @t100 (= @t99 (and @t396 @t395))))))) % 4.43/4.67 (assume @p317 (forall @t6 (=> @t387 (exists @t106 (forall @t100 (= @t99 (and @t396 @t386))))))) % 4.43/4.67 (assume @p318 (forall @t6 (=> @t388 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t24) (exists @t98 (and @t96 (= @t76 (tptp.set_difference @t88 @t142))))))))))) % 4.43/4.67 (assume @p319 (forall @t45 (=> @t362 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t389) (exists @t380 (and (= @t88 @t379) (tptp.in (tptp.ordered_pair @t359 @t390) @t2)))))))))) % 4.43/4.67 (assume @p320 (forall @t13 (exists @t11 (forall @t106 (= @t150 (and @t78 @t334)))))) % 4.43/4.67 (assume @p321 (forall @t45 (=> @t393 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t392) @t391))))))) % 4.43/4.67 (assume @p322 (forall @t6 (=> @t29 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t394) (exists @t98 (and @t383 @t318 @t104))))))))) % 4.43/4.67 (assume @p323 (forall @t6 (=> @t330 (=> (and (forall @t227 (=> (and @t78 @t328 @t324) @t318)) (forall @t106 (not (and @t78 (forall @t100 (not (exists @t317 (and (= @t41 @t314) @t364 @t363)))))))) (exists @t106 (and @t42 @t200 @t198 (forall @t100 (=> @t155 (exists @t354 (and (= @t76 @t350) (tptp.in @t218 @t350) (forall @t353 (=> @t352 (tptp.in (tptp.ordered_pair @t218 @t348) @t2))))))))))))) % 4.43/4.67 (assume @p324 (forall @t13 (=> (and (forall @t129 (=> (and @t3 @t332 @t331) @t77)) (forall @t11 (not (and @t3 (forall @t106 (not @t332)))))) @t399))) % 4.43/4.67 (assume @p325 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t106 (=> (tptp.element @t41 (tptp.powerset @t242)) (not (and @t184 (forall @t100 (not (and @t99 (forall @t98 (=> (and (tptp.in @t88 @t41) (tptp.subset @t76 @t88)) @t376))))))))))))) (=> @t400 (forall @t225 (=> (tptp.element @t174 @t229) @t382)))))) (forall @t13 (=> @t32 (=> @t400 (forall @t322 (=> (tptp.element @t319 @t229) (not (and (not (= @t319 tptp.empty_set)) (forall @t317 (not (and @t371 (forall @t316 (=> (and (tptp.in @t313 @t319) (tptp.subset @t314 @t313)) (= @t313 @t314))))))))))))))) % 4.43/4.67 (assume @p326 (forall @t13 @t399)) % 4.43/4.67 (assume @p327 (forall @t6 (=> @t273 (exists @t106 (and @t402 (forall @t100 (=> @t401 (= @t99 @t395)))))))) % 4.43/4.67 (assume @p328 (forall @t6 (=> @t387 (exists @t106 (and @t402 (forall @t100 (=> @t401 (= @t99 @t386)))))))) % 4.43/4.67 (assume @p329 (forall @t6 (=> @t221 (tptp.disjoint @t2 @t1)))) % 4.43/4.67 (assume @p330 (forall @t6 (=> @t201 (tptp.equipotent @t2 @t1)))) % 4.43/4.67 (assume @p331 (forall @t13 (tptp.in @t1 @t143))) % 4.43/4.67 (assume @p332 (forall @t6 (=> @t230 (and @t405 (not (and (not @t403) @t133)))))) % 4.43/4.67 (assume @p333 (forall @t122 (not (and (= @t53 (tptp.unordered_pair @t41 @t76)) (not @t406) (not (= @t1 @t76)))))) % 4.43/4.67 (assume @p334 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t196)))))) % 4.43/4.67 (assume @p335 (forall @t6 (=> @t84 (tptp.subset @t407 @t1)))) % 4.43/4.67 (assume @p336 (forall @t6 (=> @t84 (tptp.subset @t105 @t2)))) % 4.43/4.67 (assume @p337 (forall @t6 (=> @t84 (tptp.subset @t407 @t124)))) % 4.43/4.67 (assume @p338 (forall @t45 (=> @t86 (and (tptp.subset @t366 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 4.43/4.67 (assume @p339 (forall @t6 (=> @t84 (= @t407 (tptp.set_intersection2 @t124 @t1))))) % 4.43/4.67 (assume @p340 (forall @t122 (=> (and @t86 @t162) (tptp.subset @t366 (tptp.cartesian_product2 @t2 @t76))))) % 4.43/4.67 (assume @p341 @t411) % 4.43/4.67 (assume @p342 (forall @t45 (=> @t135 (and (tptp.subset @t197 @t1) (tptp.subset @t196 @t2))))) % 4.43/4.67 (assume @p343 @t416) % 4.43/4.67 (assume @p344 (forall @t6 (=> @t86 (= @t55 @t2)))) % 4.43/4.67 (assume @p345 (forall @t13 (exists @t11 (and @t5 @t419 (forall @t106 (=> @t150 (tptp.in @t418 @t2))) @t417)))) % 4.43/4.67 (assume @p346 (forall @t6 (=> (and @t86 @t48) @t33))) % 4.43/4.67 (assume @p347 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t420))))) % 4.43/4.67 (assume @p348 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t100 (and (tptp.in @t76 @t197) (tptp.in (tptp.ordered_pair @t76 @t1) @t41) @t91)))))) % 4.43/4.67 (assume @p349 (forall @t6 (=> @t84 (tptp.subset @t421 @t124)))) % 4.43/4.67 (assume @p350 (forall @t6 (=> @t285 (tptp.subset @t423 @t1)))) % 4.43/4.67 (assume @p351 (forall @t6 (=> @t84 (= @t421 (tptp.relation_image @t2 @t424))))) % 4.43/4.67 (assume @p352 (forall @t6 (=> @t84 (=> (tptp.subset @t1 @t123) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t421)))))) % 4.43/4.67 (assume @p353 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t97) @t204)))) % 4.43/4.67 (assume @p354 (forall @t6 (=> @t285 (=> @t425 (= @t423 @t1))))) % 4.43/4.67 (assume @p355 (forall @t122 (=> @t428 (=> (tptp.subset @t427 @t2) @t426)))) % 4.43/4.67 (assume @p356 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= (tptp.subset_intersection2 @t57 @t2 @t182) @t2)))))) % 4.43/4.67 (assume @p357 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t429 (tptp.relation_image @t2 @t204))))))) % 4.43/4.67 (assume @p358 (forall @t45 (=> @t42 (= (tptp.in @t1 @t430) (exists @t100 (and (tptp.in @t76 @t196) (tptp.in (tptp.ordered_pair @t1 @t76) @t41) @t91)))))) % 4.43/4.67 (assume @p359 (forall @t6 (=> @t84 (tptp.subset @t422 @t123)))) % 4.43/4.67 (assume @p360 (forall @t122 (=> @t428 (=> @t86 @t426)))) % 4.43/4.67 (assume @p361 (forall @t45 (=> @t42 (= (tptp.in @t1 @t431) (and @t306 (tptp.in @t1 @t214)))))) % 4.43/4.67 (assume @p362 (forall @t6 (=> @t84 (not (and @t156 @t425 (= @t422 tptp.empty_set)))))) % 4.43/4.67 (assume @p363 (forall @t45 (=> @t42 (=> @t86 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t430))))) % 4.43/4.67 (assume @p364 (forall @t6 (=> @t285 (=> @t33 (tptp.finite @t421))))) % 4.43/4.67 (assume @p365 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= @t159 @t212)))))) % 4.43/4.67 (assume @p366 (forall @t6 (=> @t84 (= @t432 (tptp.relation_dom_restriction @t105 @t1))))) % 4.43/4.67 (assume @p367 (forall @t6 (tptp.subset @t66 @t1))) % 4.43/4.67 (assume @p368 (forall @t13 (=> @t33 (forall @t11 (=> @t230 (not (and @t172 (forall @t106 (not (and @t150 (forall @t100 (=> (and @t91 @t162) @t381)))))))))))) % 4.43/4.67 (assume @p369 (forall @t6 (=> @t84 (= @t432 (tptp.relation_rng_restriction @t1 @t433))))) % 4.43/4.67 (assume @p370 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t431)) (and @t435 @t5))))) % 4.43/4.67 (assume @p371 (forall @t45 (=> (and @t86 @t436) (tptp.subset @t1 @t311)))) % 4.43/4.67 (assume @p372 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 4.43/4.67 (assume @p373 (forall @t6 (=> @t5 @t437))) % 4.43/4.67 (assume @p374 (forall @t45 (=> (and @t86 @t357) @t436))) % 4.43/4.67 (assume @p375 (= @t358 (tptp.singleton tptp.empty_set))) % 4.43/4.67 (assume @p376 (forall @t45 (=> @t42 (=> @t439 (and @t438 (tptp.in @t2 @t196)))))) % 4.43/4.67 (assume @p377 (forall @t6 (=> @t84 (and (tptp.subset @t440 @t163) (tptp.subset @t440 @t1))))) % 4.43/4.67 (assume @p378 (forall @t6 (=> @t285 (forall @t106 (=> @t220 (= @t443 (and @t438 (tptp.in @t441 @t123)))))))) % 4.43/4.67 (assume @p379 (forall @t122 (=> @t445 (forall @t98 (=> (and (tptp.relation @t88) (tptp.function @t88)) (=> @t78 (or @t133 (= (tptp.apply (tptp.relation_composition @t76 @t88) @t41) (tptp.apply @t88 @t444))))))))) % 4.43/4.67 (assume @p380 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 4.43/4.67 (assume @p381 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t97 @t204))))) % 4.43/4.67 (assume @p382 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 4.43/4.67 (assume @p383 (forall @t6 (=> @t285 (forall @t106 (=> @t220 (=> @t443 (= (tptp.apply @t442 @t1) (tptp.apply @t2 @t441)))))))) % 4.43/4.67 (assume @p384 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= (tptp.subset_difference @t57 @t182 @t212) @t2)))))) % 4.43/4.67 (assume @p385 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t100 (not (and @t91 (forall @t98 (not @t92))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 4.43/4.67 (assume @p386 (forall @t6 (=> @t84 (=> @t446 (tptp.reflexive @t432))))) % 4.43/4.67 (assume @p387 (forall @t6 (=> @t285 (forall @t106 (=> @t220 (=> (tptp.in @t1 @t123) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 4.43/4.67 (assume @p388 (forall @t13 (=> (and @t63 @t69 @t222 @t223) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (tptp.below @t1 @t67 @t2)))))))) % 4.43/4.67 (assume @p389 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 4.43/4.67 (assume @p390 (forall @t45 (=> @t135 (= (forall @t100 (not (and @t91 (forall @t98 (not (tptp.in @t118 @t41)))))) (= @t243 @t2))))) % 4.43/4.67 (assume @p391 (forall @t6 (=> @t84 (=> @t447 (tptp.connected @t432))))) % 4.43/4.67 (assume @p392 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t299 @t231 @t4))))))) % 4.43/4.67 (assume @p393 (forall @t6 (=> @t84 (=> @t448 (tptp.transitive @t432))))) % 4.43/4.67 (assume @p394 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> @t86 (and (tptp.subset @t97 @t123) (tptp.subset @t204 @t124)))))))) % 4.43/4.67 (assume @p395 (forall @t6 (=> @t84 (=> @t449 (tptp.antisymmetric @t432))))) % 4.43/4.67 (assume @p396 (forall @t6 (=> @t84 (=> @t452 (and @t451 @t450))))) % 4.43/4.67 (assume @p397 (forall @t13 (=> @t103 (=> (tptp.finite @t97) (tptp.finite @t204))))) % 4.43/4.67 (assume @p398 (forall @t13 (=> (and @t63 @t61 @t60) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t178 (tptp.below @t1 @t41 @t2)) @t139)))))))) % 4.43/4.67 (assume @p399 (forall @t13 (exists @t11 (and @t84 @t452)))) % 4.43/4.67 (assume @p400 (forall @t45 (=> @t86 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t311)))) % 4.43/4.67 (assume @p401 (forall @t13 (=> @t171 (not (and (forall @t11 (not (and @t3 @t133))) (forall @t11 (=> @t285 (not (and @t398 (forall @t106 (=> @t78 (tptp.in @t397 @t41)))))))))))) % 4.43/4.67 (assume @p402 (forall @t6 (=> @t86 (= @t66 @t1)))) % 4.43/4.67 (assume @p403 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t213 @t282)))))) % 4.43/4.67 (assume @p404 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 4.43/4.67 (assume @p405 (forall @t6 (=> @t437 (or @t170 @t5)))) % 4.43/4.67 (assume @p406 (forall @t6 (=> (forall @t106 (= @t78 @t150)) @t87))) % 4.43/4.67 (assume @p407 (forall @t13 (tptp.reflexive @t164))) % 4.43/4.67 (assume @p408 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 4.43/4.67 (assume @p409 (forall @t45 (=> @t42 (=> @t439 (and @t435 (tptp.in @t2 @t434)))))) % 4.43/4.67 (assume @p410 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t207 @t284)))))) % 4.43/4.67 (assume @p411 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t85))) @t32))) % 4.43/4.67 (assume @p412 (forall @t6 (=> @t84 (=> @t453 (tptp.well_founded_relation @t432))))) % 4.43/4.67 (assume @p413 (forall @t6 (=> @t29 (not (and @t86 @t156 (forall @t106 (=> @t334 (not (and @t78 (forall @t100 (=> @t341 (=> @t155 (tptp.ordinal_subset @t41 @t76))))))))))))) % 4.43/4.67 (assume @p414 (forall @t6 (=> @t84 (=> @t300 @t450)))) % 4.43/4.67 (assume @p415 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t143 @t2))))))) % 4.43/4.67 (assume @p416 (forall @t45 (=> @t86 (tptp.subset (tptp.set_difference @t1 @t41) @t312)))) % 4.43/4.67 (assume @p417 (forall @t122 (=> (= @t209 @t79) (and @t406 @t167)))) % 4.43/4.67 (assume @p418 (forall @t6 (=> @t285 (= @t83 (and @t398 (forall @t106 (=> @t78 (= @t397 @t41)))))))) % 4.43/4.67 (assume @p419 (forall @t6 (=> @t3 (= (tptp.apply @t82 @t2) @t2)))) % 4.43/4.67 (assume @p420 (forall @t6 (tptp.subset @t202 @t1))) % 4.43/4.67 (assume @p421 (forall @t13 (=> @t40 (and (= @t204 (tptp.relation_dom @t216)) (= @t97 (tptp.relation_rng @t216)))))) % 4.43/4.67 (assume @p422 (forall @t45 (= (tptp.subset @t53 @t41) (and @t306 @t181)))) % 4.43/4.67 (assume @p423 (forall @t6 (=> @t84 (=> (and @t300 (tptp.subset @t1 @t163)) @t451)))) % 4.43/4.67 (assume @p424 (forall @t6 (= @t454 @t55))) % 4.43/4.67 (assume @p425 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 4.43/4.67 (assume @p426 (forall @t45 (not (and @t5 @t181 @t78)))) % 4.43/4.67 (assume @p427 (forall @t6 (= @t307 @t86))) % 4.43/4.67 (assume @p428 (forall @t13 (tptp.transitive @t164))) % 4.43/4.67 (assume @p429 (forall @t6 (and (not (and @t456 (forall @t106 (not @t455)))) (not (and (exists @t106 @t455) @t221))))) % 4.43/4.67 (assume @p430 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t132))) % 4.43/4.67 (assume @p431 (forall @t6 (= (tptp.set_difference @t55 @t2) @t202))) % 4.43/4.67 (assume @p432 (forall @t13 (=> @t32 (= @t206 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t394 @t1)))))))) % 4.43/4.67 (assume @p433 (forall @t13 (=> @t32 (and (not (and (not @t206) (forall @t11 (=> @t29 (not @t457))))) (not (and (exists @t11 (and @t29 @t457)) @t206)))))) % 4.43/4.67 (assume @p434 (forall @t6 (=> @t25 (forall @t106 (=> @t72 (= @t459 (tptp.subset @t2 @t458))))))) % 4.43/4.67 (assume @p435 (forall @t13 (=> @t286 (forall @t11 (=> @t148 (=> (forall @t106 (=> @t115 (=> @t150 (tptp.closed_subset @t41 @t1)))) (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1))))))) % 4.43/4.67 (assume @p436 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t460 @t97)))))) % 4.43/4.67 (assume @p437 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t160 @t2)))))) % 4.43/4.67 (assume @p438 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t114) (forall @t100 (=> @t401 (=> @t461 @t154))))))))))) % 4.43/4.67 (assume @p439 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t429 @t124)))))) % 4.43/4.67 (assume @p440 (forall @t6 (=> @t86 (= @t2 @t454)))) % 4.43/4.67 (assume @p441 (forall @t122 (=> @t445 (=> @t172 (forall @t98 (= (tptp.in @t88 (tptp.relation_inverse_image @t76 @t41)) (and @t104 (tptp.in (tptp.apply @t76 @t88) @t41)))))))) % 4.43/4.67 (assume @p442 (forall @t13 (=> @t286 (forall @t11 (=> @t116 (exists @t106 (and @t402 (forall @t100 (=> @t401 (= @t99 @t461))) (= @t114 (tptp.meet_of_subsets @t57 @t41))))))))) % 4.43/4.67 (assume @p443 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t204 @t123) (= @t460 @t97))))))) % 4.43/4.67 (assume @p444 @t463) % 4.43/4.67 (assume @p445 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t97 @t124) (= (tptp.relation_rng @t256) @t204))))))) % 4.43/4.67 (assume @p446 (forall @t6 (=> @t230 (=> @t172 (= (tptp.subset_difference @t1 @t192 @t244) @t408))))) % 4.43/4.67 (assume @p447 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t2 @t114)))))) % 4.43/4.67 (assume @p448 (forall @t6 (=> @t230 (=> @t172 (= @t412 (tptp.subset_difference @t1 @t192 @t248)))))) % 4.43/4.67 (assume @p449 (forall @t6 (= (tptp.set_difference @t1 @t202) @t66))) % 4.43/4.67 (assume @p450 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t220 (=> @t219 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 4.43/4.67 (assume @p451 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 4.43/4.67 (assume @p452 (forall @t45 (=> (and @t5 @t464) (tptp.element @t1 @t41)))) % 4.43/4.67 (assume @p453 (forall @t13 (=> @t32 (tptp.connected @t164)))) % 4.43/4.67 (assume @p454 (forall @t6 (and (not (and @t456 (forall @t106 (not @t465)))) (not (and (exists @t106 @t465) @t221))))) % 4.43/4.67 (assume @p455 (forall @t13 (=> @t156 (forall @t11 (=> @t25 (forall @t106 (=> (tptp.element @t41 @t1) (=> @t179 (tptp.in @t41 @t208))))))))) % 4.43/4.67 (assume @p456 (forall @t13 (=> @t286 (forall @t11 (=> @t116 @t290))))) % 4.43/4.67 (assume @p457 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (and (=> @t213 @t466) (=> (and @t149 @t466) @t213))))))) % 4.43/4.67 (assume @p458 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t220 (=> @t219 (and (=> @t194 @t446) (=> @t120 @t448) (=> @t119 @t447) (=> @t108 @t449) (=> @t173 @t453)))))))))) % 4.43/4.67 (assume @p459 (forall @t13 (=> @t103 (=> @t49 (forall @t11 (=> @t285 (= (= @t2 @t232) (and (= @t123 @t204) (forall @t81 (and (=> @t467 @t203) (=> @t203 @t467))))))))))) % 4.43/4.67 (assume @p460 (forall @t45 (=> @t72 (not (and (tptp.in @t2 @t458) @t181))))) % 4.43/4.67 (assume @p461 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t220 (=> (and @t195 @t219) @t300)))))))) % 4.43/4.67 (assume @p462 (forall @t13 (=> @t103 (=> @t49 (and (= @t204 (tptp.relation_dom @t232)) (= @t97 (tptp.relation_rng @t232))))))) % 4.43/4.67 (assume @p463 (forall @t13 (=> @t286 (forall @t11 (=> (tptp.top_str @t2) (forall @t106 (=> @t115 (forall @t100 (=> (tptp.element @t76 (tptp.powerset (tptp.the_carrier @t2))) (and (=> (tptp.open_subset @t76 @t2) (= (tptp.interior @t2 @t76) @t76)) (=> (= (tptp.interior @t1 @t41) @t41) (tptp.open_subset @t41 @t1)))))))))))) % 4.43/4.67 (assume @p464 (forall @t13 (=> @t40 (=> (forall @t95 @t303) @t132)))) % 4.43/4.67 (assume @p465 (forall @t6 (=> @t285 (=> (and @t310 (tptp.in @t1 @t124)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t468 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t468 @t2) @t1))))))) % 4.43/4.67 (assume @p466 (forall @t45 (not (and @t5 @t464 (tptp.empty @t41))))) % 4.43/4.67 (assume @p467 (forall @t13 (=> @t266 (forall @t11 (=> @t148 (not (and @t224 @t133))))))) % 4.43/4.67 (assume @p468 (forall @t13 (=> @t40 (= @t173 (tptp.is_well_founded_in @t1 @t107))))) % 4.43/4.67 (assume @p469 (forall @t13 (tptp.antisymmetric @t164))) % 4.43/4.67 (assume @p470 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 4.43/4.67 (assume @p471 (forall @t6 (not (and @t86 @t7)))) % 4.43/4.67 (assume @p472 (forall @t13 (=> @t103 (=> @t49 (tptp.one_to_one @t232))))) % 4.43/4.67 (assume @p473 (forall @t45 (=> (and @t86 @t459) (tptp.disjoint @t1 @t41)))) % 4.43/4.67 (assume @p474 (forall @t13 (=> @t40 (=> (or @t470 @t469) @t132)))) % 4.43/4.67 (assume @p475 (forall @t13 (=> @t40 (= @t470 @t469)))) % 4.43/4.67 (assume @p476 (forall @t6 (= (= (tptp.set_difference @t1 @t304) @t1) @t4))) % 4.43/4.67 (assume @p477 (forall @t6 (=> @t285 (forall @t106 (=> @t220 (= (= @t2 @t308) (and (= @t123 (tptp.set_intersection2 @t197 @t1)) (forall @t100 (=> (tptp.in @t76 @t123) (= (tptp.apply @t2 @t76) @t218)))))))))) % 4.43/4.67 (assume @p478 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t142))) % 4.43/4.67 (assume @p479 (forall @t13 (=> @t22 @t132))) % 4.43/4.67 (assume @p480 (forall @t122 (=> @t445 (=> @t78 (or @t133 (tptp.in @t444 @t427)))))) % 4.43/4.67 (assume @p481 (forall @t13 (=> @t32 (tptp.well_founded_relation @t164)))) % 4.43/4.67 (assume @p482 (forall @t6 (=> (tptp.subset @t142 @t304) @t87))) % 4.43/4.67 (assume @p483 (forall @t45 (=> @t220 (=> @t309 @t471)))) % 4.43/4.67 (assume @p484 (forall @t13 (and (= (tptp.relation_dom @t82) @t1) (= (tptp.relation_rng @t82) @t1)))) % 4.43/4.67 (assume @p485 (forall @t45 (=> @t220 (=> @t3 @t471)))) % 4.43/4.67 (assume @p486 (forall @t122 (=> @t361 (= (tptp.in @t209 (tptp.relation_composition (tptp.identity_relation @t41) @t76)) (and @t306 (tptp.in @t209 @t76)))))) % 4.43/4.67 (assume @p487 (forall @t6 (not (and @t5 @t170)))) % 4.43/4.67 (assume @p488 (forall @t6 (and (= (tptp.pair_first @t209) @t1) (= (tptp.pair_second @t209) @t2)))) % 4.43/4.67 (assume @p489 (forall @t6 (not (and @t5 (forall @t106 (not (and @t150 (forall @t100 (not (and @t91 @t99)))))))))) % 4.43/4.67 (assume @p490 (forall @t13 (=> @t32 (tptp.well_ordering @t164)))) % 4.43/4.67 (assume @p491 (forall @t6 (tptp.subset @t1 @t55))) % 4.43/4.67 (assume @p492 (forall @t6 (= @t221 (= @t202 @t1)))) % 4.43/4.67 (assume @p493 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t420)) (and @t5 @t438))))) % 4.43/4.67 (assume @p494 (forall @t6 (=> @t84 (tptp.subset @t433 @t2)))) % 4.43/4.67 (assume @p495 (forall @t6 (not (and @t22 @t231 @t170)))) % 4.43/4.67 (assume @p496 (forall @t45 (=> @t220 (= @t439 (and @t438 (= @t2 @t441)))))) % 4.43/4.67 (assume @p497 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t107) @t195)))) % 4.43/4.67 (assume @p498 (forall @t45 (=> (and @t86 @t185) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 4.43/4.67 (assume @p499 (forall @t45 (=> @t472 @t87))) % 4.43/4.67 (assume @p500 (forall @t6 (=> @t84 (= (tptp.relation_dom @t433) @t424)))) % 4.43/4.67 (assume @p501 (forall @t6 (=> @t84 (= @t433 (tptp.relation_composition @t82 @t2))))) % 4.43/4.67 (assume @p502 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_rng @t433) @t124)))) % 4.43/4.67 (assume @p503 (forall @t13 (= (tptp.union @t24) @t1))) % 4.43/4.67 (assume @p504 (forall @t122 (=> @t445 (=> @t357 (or (and @t133 @t156) (and @t235 (tptp.quasi_total @t76 @t1 @t41) (tptp.relation_of2_as_subset @t76 @t1 @t41))))))) % 4.43/4.67 (assume @p505 (forall @t13 (exists @t11 (and @t5 @t419 (forall @t106 (not (and @t150 (forall @t100 (not (and @t91 (forall @t98 (=> (tptp.subset @t88 @t41) @t121)))))))) @t417)))) % 4.43/4.67 (assume @p506 (forall @t45 (=> @t472 @t139))) % 4.43/4.67 (step @p507 :rule aci_norm :args ((= (or @t473 (or @t133 @t413)) @t474))) % 4.43/4.67 (step @p508 :rule refl :args (@t413)) % 4.43/4.67 (step @p509 :rule bool-double-not-elim :args (@t133)) % 4.43/4.67 (step @p510 :rule nary_cong :premises (@p509 @p508) :args ((or @t475 @t413))) % 4.43/4.67 (step @p511 :rule bool-impl-elim :args (@t172 @t413)) % 4.43/4.67 (step @p512 :rule trans :premises (@p511 @p510)) % 4.43/4.67 (step @p513 :rule refl :args (@t473)) % 4.43/4.67 (step @p514 :rule nary_cong :premises (@p513 @p512) :args ((or @t473 @t414))) % 4.43/4.67 (step @p515 :rule trans :premises (@p514 @p507)) % 4.43/4.67 (step @p516 :rule bool-impl-elim :args (@t230 @t414)) % 4.43/4.67 (step @p517 :rule trans :premises (@p516 @p515)) % 4.43/4.67 (step @p518 :rule cong :premises (@p517) :args (@t415)) % 4.43/4.67 (step @p519 :rule cong :premises (@p518) :args (@t416)) % 4.43/4.67 (step @p520 :rule eq_resolve :premises (@p343 @p519)) % 4.43/4.67 (step @p521 :rule refl :args (@t488)) % 4.43/4.67 (step @p522 :rule bool-double-not-elim :args (@t476)) % 4.43/4.67 (step @p523 :rule nary_cong :premises (@p522 @p521) :args ((or (not @t489) @t488))) % 4.43/4.67 (step @p524 :rule refl :args (@t481)) % 4.43/4.67 (step @p525 :rule eq-symm :args (@t477 tptp.empty_set)) % 4.43/4.67 (step @p526 :rule refl :args (@t486)) % 4.43/4.67 (step @p527 :rule nary_cong :premises (@p526 @p525 @p524) :args (@t491)) % 4.43/4.67 (step @p528 :rule cong :premises (@p527) :args (@t492)) % 4.43/4.67 (step @p529 :rule refl :args (@t489)) % 4.43/4.67 (step @p530 :rule cong :premises (@p529 @p528) :args ((=> @t489 @t492))) % 4.43/4.67 (assume-push @p689 @t489) % 4.43/4.67 (step @p532 :rule skolemize :premises (@p520)) % 4.43/4.67 (step-pop @p690 :rule scope :premises (@p532)) % 4.43/4.67 (step @p533 :rule process_scope :premises (@p690) :args (@t492)) % 4.43/4.67 (step @p535 :rule eq_resolve :premises (@p533 @p530)) % 4.43/4.67 (step @p536 :rule implies_elim :premises (@p535)) % 4.43/4.67 (step @p537 :rule eq_resolve :premises (@p536 @p523)) % 4.43/4.67 (step @p538 :rule chain_m_resolution :premises (@p537 @p520) :args (@t488 @t493 (@list @t476))) % 4.43/4.67 (step @p539 :rule cnf_or_neg :args (@t487 2)) % 4.43/4.67 (step @p540 :rule chain_m_resolution :premises (@p539 @p538) :args (@t494 @t493 @t495)) % 4.43/4.67 (step @p541 :rule bool-impl-elim :args (@t230 @t496)) % 4.43/4.67 (step @p542 :rule cong :premises (@p541) :args ((forall @t6 (=> @t230 @t496)))) % 4.43/4.67 (step @p543 :rule eq-symm :args (@t294 @t2)) % 4.43/4.67 (step @p544 :rule refl :args (@t230)) % 4.43/4.67 (step @p545 :rule cong :premises (@p544 @p543) :args (@t295)) % 4.43/4.67 (step @p546 :rule cong :premises (@p545) :args (@t296)) % 4.43/4.67 (step @p547 :rule trans :premises (@p546 @p542)) % 4.43/4.67 (step @p548 :rule eq_resolve :premises (@p231 @p547)) % 4.43/4.67 (step @p549 :rule instantiate :premises (@p548) :args (@t497)) % 4.43/4.67 (step @p550 :rule bool-double-not-elim :args (@t485)) % 4.43/4.67 (step @p551 :rule refl :args (@t487)) % 4.43/4.67 (step @p552 :rule nary_cong :premises (@p551 @p550) :args ((or @t487 (not @t486)))) % 4.43/4.67 (step @p553 :rule cnf_or_neg :args (@t487 0)) % 4.43/4.67 (step @p554 :rule eq_resolve :premises (@p553 @p552)) % 4.43/4.67 (step @p555 :rule reordering :premises (@p554) :args ((or @t485 @t487))) % 4.43/4.67 (step @p556 :rule chain_m_resolution :premises (@p555 @p538) :args (@t485 @t493 @t495)) % 4.43/4.67 (step @p557 :rule cnf_or_pos :args (@t500)) % 4.43/4.67 (step @p558 :rule reordering :premises (@p557) :args ((or @t486 @t499 (not @t500)))) % 4.43/4.67 (step @p559 :rule chain_m_resolution :premises (@p558 @p556 @p549) :args (@t499 @t501 (@list @t485 @t500))) % 4.43/4.67 (step @p560 :rule aci_norm :args ((= (or @t473 (or @t133 @t409)) @t502))) % 4.43/4.67 (step @p561 :rule refl :args (@t409)) % 4.43/4.67 (step @p562 :rule nary_cong :premises (@p509 @p561) :args ((or @t475 @t409))) % 4.43/4.67 (step @p563 :rule bool-impl-elim :args (@t172 @t409)) % 4.43/4.67 (step @p564 :rule trans :premises (@p563 @p562)) % 4.43/4.67 (step @p565 :rule nary_cong :premises (@p513 @p564) :args ((or @t473 @t410))) % 4.43/4.67 (step @p566 :rule trans :premises (@p565 @p560)) % 4.43/4.67 (step @p567 :rule bool-impl-elim :args (@t230 @t410)) % 4.43/4.67 (step @p568 :rule trans :premises (@p567 @p566)) % 4.43/4.67 (step @p569 :rule cong :premises (@p568) :args (@t411)) % 4.43/4.67 (step @p570 :rule eq_resolve :premises (@p341 @p569)) % 4.43/4.67 (step @p571 :rule refl :args (@t505)) % 4.43/4.67 (step @p572 :rule eq-symm :args (@t479 tptp.empty_set)) % 4.43/4.67 (step @p573 :rule refl :args (@t507)) % 4.43/4.67 (step @p574 :rule nary_cong :premises (@p573 @p572 @p571) :args (@t508)) % 4.43/4.67 (step @p575 :rule refl :args (@t509)) % 4.43/4.67 (step @p576 :rule cong :premises (@p575 @p574) :args ((=> @t509 @t508))) % 4.43/4.67 (assume-push @p691 @t509) % 4.43/4.67 (step @p578 :rule instantiate :premises (@p570) :args (@t510)) % 4.43/4.67 (step-pop @p692 :rule scope :premises (@p578)) % 4.43/4.67 (step @p579 :rule process_scope :premises (@p692) :args (@t508)) % 4.43/4.67 (step @p581 :rule eq_resolve :premises (@p579 @p576)) % 4.43/4.67 (step @p582 :rule implies_elim :premises (@p581)) % 4.43/4.67 (step @p583 :rule chain_m_resolution :premises (@p582 @p570) :args (@t512 @t513 (@list @t509))) % 4.43/4.67 (step @p584 :rule aci_norm :args ((= (or @t473 (or @t133 @t515)) @t516))) % 4.43/4.67 (step @p585 :rule refl :args (@t515)) % 4.43/4.67 (step @p586 :rule nary_cong :premises (@p509 @p585) :args ((or @t475 @t515))) % 4.43/4.67 (step @p587 :rule bool-and-de-morgan :args (@t172 @t514 true)) % 4.43/4.67 (step @p588 :rule trans :premises (@p587 @p586)) % 4.43/4.67 (step @p589 :rule nary_cong :premises (@p513 @p588) :args ((or @t473 @t517))) % 4.43/4.67 (step @p590 :rule trans :premises (@p589 @p584)) % 4.43/4.67 (step @p591 :rule bool-impl-elim :args (@t230 @t517)) % 4.43/4.67 (step @p592 :rule trans :premises (@p591 @p590)) % 4.43/4.67 (step @p593 :rule cong :premises (@p592) :args ((forall @t6 (=> @t230 @t517)))) % 4.43/4.67 (step @p594 :rule eq-symm :args (@t228 tptp.empty_set)) % 4.43/4.67 (step @p595 :rule refl :args (@t172)) % 4.43/4.67 (step @p596 :rule nary_cong :premises (@p595 @p594) :args (@t404)) % 4.43/4.67 (step @p597 :rule cong :premises (@p596) :args (@t405)) % 4.43/4.67 (step @p598 :rule cong :premises (@p544 @p597) :args (@t462)) % 4.43/4.67 (step @p599 :rule cong :premises (@p598) :args (@t463)) % 4.43/4.67 (step @p600 :rule trans :premises (@p599 @p593)) % 4.43/4.67 (step @p601 :rule eq_resolve :premises (@p444 @p600)) % 4.43/4.67 (step @p602 :rule refl :args (@t518)) % 4.43/4.67 (step @p603 :rule nary_cong :premises (@p526 @p525 @p602) :args (@t519)) % 4.43/4.67 (step @p604 :rule refl :args (@t520)) % 4.43/4.67 (step @p605 :rule cong :premises (@p604 @p603) :args ((=> @t520 @t519))) % 4.43/4.67 (assume-push @p693 @t520) % 4.43/4.67 (step @p607 :rule instantiate :premises (@p601) :args (@t497)) % 4.43/4.67 (step-pop @p694 :rule scope :premises (@p607)) % 4.43/4.67 (step @p608 :rule process_scope :premises (@p694) :args (@t519)) % 4.43/4.67 (step @p610 :rule eq_resolve :premises (@p608 @p605)) % 4.43/4.67 (step @p611 :rule implies_elim :premises (@p610)) % 4.43/4.67 (step @p612 :rule chain_m_resolution :premises (@p611 @p601) :args (@t521 @t513 (@list @t520))) % 4.43/4.67 (step @p613 :rule cnf_or_neg :args (@t487 1)) % 4.43/4.67 (step @p614 :rule chain_m_resolution :premises (@p613 @p538) :args ((not @t482) @t493 @t495)) % 4.43/4.67 (step @p615 :rule cnf_or_pos :args (@t521)) % 4.43/4.67 (step @p616 :rule reordering :premises (@p615) :args ((or @t486 @t482 @t518 (not @t521)))) % 4.43/4.67 (step @p617 :rule chain_m_resolution :premises (@p616 @p556 @p614 @p612) :args (@t518 @t522 (@list @t485 @t482 @t521))) % 4.43/4.67 (step @p618 :rule bool-impl-elim :args (@t230 @t251)) % 4.43/4.67 (step @p619 :rule cong :premises (@p618) :args (@t252)) % 4.43/4.67 (step @p620 :rule eq_resolve :premises (@p145 @p619)) % 4.43/4.67 (step @p621 :rule instantiate :premises (@p620) :args (@t497)) % 4.43/4.67 (step @p622 :rule cnf_or_pos :args (@t523)) % 4.43/4.67 (step @p623 :rule reordering :premises (@p622) :args ((or @t486 @t506 (not @t523)))) % 4.43/4.67 (step @p624 :rule chain_m_resolution :premises (@p623 @p556 @p621) :args (@t506 @t501 (@list @t485 @t523))) % 4.43/4.67 (step @p625 :rule cnf_or_pos :args (@t512)) % 4.43/4.67 (step @p626 :rule reordering :premises (@p625) :args ((or @t507 @t511 @t505 (not @t512)))) % 4.43/4.67 (step @p627 :rule chain_m_resolution :premises (@p626 @p624 @p617 @p583) :args (@t505 @t522 (@list @t506 @t511 @t512))) % 4.43/4.67 (step @p628 :rule bool-impl-elim :args (@t25 @t524)) % 4.43/4.67 (step @p629 :rule cong :premises (@p628) :args ((forall @t6 (=> @t25 @t524)))) % 4.43/4.67 (step @p630 :rule eq-symm :args (@t291 @t2)) % 4.43/4.67 (step @p631 :rule refl :args (@t25)) % 4.43/4.67 (step @p632 :rule cong :premises (@p631 @p630) :args (@t292)) % 4.43/4.67 (step @p633 :rule cong :premises (@p632) :args (@t293)) % 4.43/4.67 (step @p634 :rule trans :premises (@p633 @p629)) % 4.43/4.67 (step @p635 :rule eq_resolve :premises (@p229 @p634)) % 4.43/4.67 (step @p636 :rule instantiate :premises (@p635) :args ((@list @t478 @t480))) % 4.43/4.67 (step @p637 :rule bool-impl-elim :args (@t230 @t245)) % 4.43/4.67 (step @p638 :rule cong :premises (@p637) :args (@t246)) % 4.43/4.67 (step @p639 :rule eq_resolve :premises (@p138 @p638)) % 4.43/4.67 (step @p640 :rule instantiate :premises (@p639) :args (@t510)) % 4.43/4.67 (step @p641 :rule cnf_or_pos :args (@t526)) % 4.43/4.67 (step @p642 :rule reordering :premises (@p641) :args ((or @t507 @t525 (not @t526)))) % 4.43/4.67 (step @p643 :rule chain_m_resolution :premises (@p642 @p624 @p640) :args (@t525 @t501 (@list @t506 @t526))) % 4.43/4.67 (step @p644 :rule cnf_or_pos :args (@t530)) % 4.43/4.67 (step @p645 :rule reordering :premises (@p644) :args ((or @t529 @t528 (not @t530)))) % 4.43/4.67 (step @p646 :rule chain_m_resolution :premises (@p645 @p643 @p636) :args (@t528 @t501 (@list @t525 @t530))) % 4.43/4.67 (step @p647 :rule refl :args (@t531)) % 4.43/4.67 (step @p648 :rule refl :args (@t532)) % 4.43/4.67 (step @p649 :rule refl :args (@t533)) % 4.43/4.67 (step @p650 :rule bool-double-not-elim :args (@t481)) % 4.43/4.67 (step @p651 :rule nary_cong :premises (@p650 @p649 @p648 @p647) :args ((or (not @t494) @t533 @t532 @t531))) % 4.43/4.67 (assume-push @p695 @t531) % 4.43/4.67 (assume-push @p696 @t528) % 4.43/4.67 (step @p654 :rule evaluate :args ((= false true))) % 4.43/4.67 (step @p655 :rule true_intro :premises (@p646)) % 4.43/4.67 (step @p656 :rule false_intro :premises (@p540)) % 4.43/4.67 (step @p657 :rule symm :premises (@p559)) % 4.43/4.67 (step @p658 :rule refl :args (@t478)) % 4.43/4.67 (step @p659 :rule cong :premises (@p658 @p657) :args (@t504)) % 4.43/4.67 (step @p660 :rule symm :premises (@p627)) % 4.43/4.67 (step @p661 :rule trans :premises (@p660 @p659)) % 4.43/4.69 (step @p662 :rule cong :premises (@p658 @p661) :args (@t527)) % 4.43/4.69 (step @p663 :rule refl :args (@t480)) % 4.43/4.69 (step @p664 :rule cong :premises (@p663 @p662) :args (@t528)) % 4.43/4.69 (step @p665 :rule trans :premises (@p664 @p656)) % 4.43/4.69 (step @p666 :rule symm :premises (@p665)) % 4.43/4.69 (step @p667 :rule trans :premises (@p666 @p655)) % 4.43/4.69 (step @p668 false :rule eq_resolve :premises (@p667 @p654)) % 4.43/4.69 (step-pop @p697 :rule scope :premises (@p668)) % 4.43/4.69 (step-pop @p698 :rule scope :premises (@p697)) % 4.43/4.69 (step @p669 :rule process_scope :premises (@p698) :args (false)) % 4.43/4.69 (assume-push @p699 @t494) % 4.43/4.69 (assume-push @p700 @t499) % 4.43/4.69 (assume-push @p701 @t505) % 4.43/4.69 (assume-push @p702 @t528) % 4.43/4.69 (step @p656 :rule false_intro :premises (@p540)) % 4.43/4.69 (step @p657 :rule symm :premises (@p559)) % 4.43/4.69 (step @p658 :rule refl :args (@t478)) % 4.43/4.69 (step @p659 :rule cong :premises (@p658 @p657) :args (@t504)) % 4.43/4.69 (step @p660 :rule symm :premises (@p627)) % 4.43/4.69 (step @p661 :rule trans :premises (@p660 @p659)) % 4.43/4.69 (step @p662 :rule cong :premises (@p658 @p661) :args (@t527)) % 4.43/4.69 (step @p663 :rule refl :args (@t480)) % 4.43/4.69 (step @p664 :rule cong :premises (@p663 @p662) :args (@t528)) % 4.43/4.69 (step @p676 :rule trans :premises (@p664 @p656)) % 4.43/4.69 (step @p677 :rule false_elim :premises (@p676)) % 4.43/4.69 (step @p678 :rule and_intro :premises (@p677 @p646)) % 4.43/4.69 (step-pop @p703 :rule scope :premises (@p678)) % 4.43/4.69 (step-pop @p704 :rule scope :premises (@p703)) % 4.43/4.69 (step-pop @p705 :rule scope :premises (@p704)) % 4.43/4.69 (step-pop @p706 :rule scope :premises (@p705)) % 4.43/4.69 (step @p679 :rule process_scope :premises (@p706) :args (@t534)) % 4.43/4.69 (step @p684 :rule implies_elim :premises (@p679)) % 4.43/4.69 (step @p685 :rule resolution :premises (@p684 @p669) :args (true @t534)) % 4.43/4.69 (step @p686 :rule not_and :premises (@p685)) % 4.43/4.69 (step @p687 :rule eq_resolve :premises (@p686 @p651)) % 4.43/4.69 (step @p688 false :rule chain_m_resolution :premises (@p687 @p646 @p627 @p559 @p540) :args (false (@list false false false true) (@list @t528 @t505 @t499 @t481))) % 4.43/4.69 ) % 4.43/4.69 % SZS output end Proof % 4.43/4.69 % cvc5 exiting %------------------------------------------------------------------------------