%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU340+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:51:26 AM UTC 2026 % Result : Theorem 44.53s 44.73s % Output : Proof 44.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU340+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:59:02 EDT 2026 % 0.15/0.34 % CPUTime : % 0.47/0.63 %----Proving TF0_NAR, FOF, or CNF % 44.53/44.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 44.53/44.73 --- Run --no-e-matching --full-saturate-quant at 6... % 44.53/44.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 44.53/44.73 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 44.53/44.73 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 44.53/44.73 % SZS status Theorem % 44.53/44.73 % SZS output start Proof % 44.53/44.73 ( % 44.53/44.73 (declare-sort $$unsorted 0) % 44.53/44.73 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.centered (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.function (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.finite (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.connected (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.empty_set $$unsorted) % 44.53/44.73 (declare-const tptp.empty (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.natural (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.transitive (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.omega $$unsorted) % 44.53/44.73 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 44.53/44.73 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 44.53/44.73 (declare-const tptp.top_str (-> $$unsorted Bool)) % 44.53/44.73 (define @t1 () (@var "A" $$unsorted)) % 44.53/44.73 (define @t2 () (@var "B" $$unsorted)) % 44.53/44.73 (define @t3 () (tptp.in @t2 @t1)) % 44.53/44.73 (define @t4 () (not @t3)) % 44.53/44.73 (define @t5 () (tptp.in @t1 @t2)) % 44.53/44.73 (define @t6 () (@list @t1 @t2)) % 44.53/44.73 (define @t7 () (tptp.proper_subset @t2 @t1)) % 44.53/44.73 (define @t8 () (tptp.proper_subset @t1 @t2)) % 44.53/44.73 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 44.53/44.73 (define @t10 () (tptp.element @t2 @t1)) % 44.53/44.73 (define @t11 () (@list @t2)) % 44.53/44.73 (define @t12 () (tptp.v1_membered @t1)) % 44.53/44.73 (define @t13 () (@list @t1)) % 44.53/44.73 (define @t14 () (tptp.v1_xreal_0 @t2)) % 44.53/44.73 (define @t15 () (tptp.v2_membered @t1)) % 44.53/44.73 (define @t16 () (tptp.v1_rat_1 @t2)) % 44.53/44.73 (define @t17 () (tptp.v3_membered @t1)) % 44.53/44.73 (define @t18 () (tptp.v1_int_1 @t2)) % 44.53/44.73 (define @t19 () (tptp.v4_membered @t1)) % 44.53/44.73 (define @t20 () (tptp.natural @t2)) % 44.53/44.73 (define @t21 () (tptp.v5_membered @t1)) % 44.53/44.73 (define @t22 () (tptp.empty @t1)) % 44.53/44.73 (define @t23 () (tptp.v1_membered @t2)) % 44.53/44.73 (define @t24 () (tptp.powerset @t1)) % 44.53/44.73 (define @t25 () (tptp.element @t2 @t24)) % 44.53/44.73 (define @t26 () (tptp.v2_membered @t2)) % 44.53/44.73 (define @t27 () (tptp.v3_membered @t2)) % 44.53/44.73 (define @t28 () (tptp.v4_membered @t2)) % 44.53/44.73 (define @t29 () (tptp.ordinal @t2)) % 44.53/44.73 (define @t30 () (tptp.epsilon_connected @t2)) % 44.53/44.73 (define @t31 () (tptp.epsilon_transitive @t2)) % 44.53/44.73 (define @t32 () (tptp.ordinal @t1)) % 44.53/44.73 (define @t33 () (tptp.finite @t1)) % 44.53/44.73 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 44.53/44.73 (define @t35 () (tptp.preboolean @t1)) % 44.53/44.73 (define @t36 () (tptp.function @t1)) % 44.53/44.73 (define @t37 () (tptp.epsilon_connected @t1)) % 44.53/44.73 (define @t38 () (tptp.epsilon_transitive @t1)) % 44.53/44.73 (define @t39 () (and @t38 @t37)) % 44.53/44.73 (define @t40 () (tptp.relation @t1)) % 44.53/44.73 (define @t41 () (@var "C" $$unsorted)) % 44.53/44.73 (define @t42 () (tptp.relation @t41)) % 44.53/44.73 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 44.53/44.73 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 44.53/44.73 (define @t45 () (@list @t1 @t2 @t41)) % 44.53/44.73 (define @t46 () (forall @t45 (=> @t44 @t42))) % 44.53/44.73 (define @t47 () (tptp.natural @t1)) % 44.53/44.73 (define @t48 () (and @t38 @t37 @t32 @t47)) % 44.53/44.73 (define @t49 () (tptp.finite @t2)) % 44.53/44.73 (define @t50 () (tptp.one_to_one @t1)) % 44.53/44.73 (define @t51 () (and @t40 @t36 @t50)) % 44.53/44.73 (define @t52 () (and @t40 @t22 @t36)) % 44.53/44.73 (define @t53 () (and @t38 @t37 @t32)) % 44.53/44.73 (define @t54 () (tptp.unordered_pair @t1 @t2)) % 44.53/44.73 (define @t55 () (tptp.set_union2 @t2 @t1)) % 44.53/44.73 (define @t56 () (tptp.set_union2 @t1 @t2)) % 44.53/44.73 (define @t57 () (tptp.join_commut @t1 @t2 @t41)) % 44.53/44.73 (define @t58 () (tptp.the_carrier @t1)) % 44.53/44.73 (define @t59 () (tptp.element @t41 @t58)) % 44.53/44.73 (define @t60 () (tptp.element @t2 @t58)) % 44.53/44.73 (define @t61 () (tptp.join_semilatt_str @t1)) % 44.53/44.73 (define @t62 () (tptp.join_commutative @t1)) % 44.53/44.73 (define @t63 () (tptp.empty_carrier @t1)) % 44.53/44.73 (define @t64 () (not @t63)) % 44.53/44.73 (define @t65 () (and @t64 @t62 @t61 @t60 @t59)) % 44.53/44.73 (define @t66 () (tptp.set_intersection2 @t2 @t1)) % 44.53/44.73 (define @t67 () (tptp.set_intersection2 @t1 @t2)) % 44.53/44.73 (define @t68 () (tptp.meet_commut @t1 @t2 @t41)) % 44.53/44.73 (define @t69 () (tptp.meet_semilatt_str @t1)) % 44.53/44.73 (define @t70 () (tptp.meet_commutative @t1)) % 44.53/44.73 (define @t71 () (and @t64 @t70 @t69 @t60 @t59)) % 44.53/44.73 (define @t72 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 44.53/44.73 (define @t73 () (tptp.element @t41 @t24)) % 44.53/44.73 (define @t74 () (and @t25 @t73)) % 44.53/44.73 (define @t75 () (tptp.ordinal_subset @t1 @t2)) % 44.53/44.73 (define @t76 () (and @t32 @t29)) % 44.53/44.73 (define @t77 () (@var "D" $$unsorted)) % 44.53/44.73 (define @t78 () (= @t41 @t77)) % 44.53/44.73 (define @t79 () (tptp.in @t41 @t1)) % 44.53/44.73 (define @t80 () (tptp.ordered_pair @t41 @t77)) % 44.53/44.73 (define @t81 () (tptp.in @t80 @t2)) % 44.53/44.73 (define @t82 () (@list @t41 @t77)) % 44.53/44.73 (define @t83 () (tptp.identity_relation @t1)) % 44.53/44.73 (define @t84 () (= @t2 @t83)) % 44.53/44.73 (define @t85 () (tptp.relation @t2)) % 44.53/44.73 (define @t86 () (tptp.subset @t2 @t1)) % 44.53/44.73 (define @t87 () (tptp.subset @t1 @t2)) % 44.53/44.73 (define @t88 () (= @t1 @t2)) % 44.53/44.73 (define @t89 () (@var "E" $$unsorted)) % 44.53/44.73 (define @t90 () (tptp.ordered_pair @t77 @t89)) % 44.53/44.73 (define @t91 () (tptp.in @t90 @t1)) % 44.53/44.73 (define @t92 () (tptp.in @t77 @t2)) % 44.53/44.73 (define @t93 () (tptp.in @t90 @t41)) % 44.53/44.73 (define @t94 () (@list @t77 @t89)) % 44.53/44.73 (define @t95 () (tptp.relation_dom_restriction @t1 @t2)) % 44.53/44.73 (define @t96 () (@list @t2 @t41)) % 44.53/44.73 (define @t97 () (tptp.in @t89 @t2)) % 44.53/44.73 (define @t98 () (tptp.relation_dom @t1)) % 44.53/44.73 (define @t99 () (@list @t89)) % 44.53/44.73 (define @t100 () (tptp.in @t77 @t41)) % 44.53/44.73 (define @t101 () (@list @t77)) % 44.53/44.73 (define @t102 () (tptp.relation_image @t1 @t2)) % 44.53/44.73 (define @t103 () (= @t41 @t102)) % 44.53/44.73 (define @t104 () (and @t40 @t36)) % 44.53/44.73 (define @t105 () (tptp.in @t89 @t1)) % 44.53/44.73 (define @t106 () (tptp.relation_rng_restriction @t1 @t2)) % 44.53/44.73 (define @t107 () (@list @t41)) % 44.53/44.73 (define @t108 () (tptp.relation_field @t1)) % 44.53/44.73 (define @t109 () (tptp.antisymmetric @t1)) % 44.53/44.73 (define @t110 () (tptp.apply @t1 @t77)) % 44.53/44.73 (define @t111 () (tptp.in @t77 @t98)) % 44.53/44.73 (define @t112 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 44.53/44.73 (define @t113 () (tptp.powerset @t58)) % 44.53/44.73 (define @t114 () (tptp.element @t89 @t113)) % 44.53/44.73 (define @t115 () (tptp.topstr_closure @t1 @t2)) % 44.53/44.73 (define @t116 () (tptp.element @t41 @t113)) % 44.53/44.73 (define @t117 () (tptp.element @t2 @t113)) % 44.53/44.73 (define @t118 () (tptp.top_str @t1)) % 44.53/44.73 (define @t119 () (tptp.ordered_pair @t89 @t77)) % 44.53/44.73 (define @t120 () (tptp.connected @t1)) % 44.53/44.73 (define @t121 () (tptp.transitive @t1)) % 44.53/44.73 (define @t122 () (tptp.in @t89 @t77)) % 44.53/44.73 (define @t123 () (@list @t1 @t2 @t41 @t77)) % 44.53/44.73 (define @t124 () (tptp.relation_dom @t2)) % 44.53/44.73 (define @t125 () (tptp.relation_rng @t2)) % 44.53/44.73 (define @t126 () (tptp.function @t2)) % 44.53/44.73 (define @t127 () (tptp.in (tptp.ordered_pair @t2 @t77) @t1)) % 44.53/44.73 (define @t128 () (tptp.ordered_pair @t2 @t41)) % 44.53/44.73 (define @t129 () (tptp.in @t128 @t1)) % 44.53/44.73 (define @t130 () (@list @t2 @t41 @t77)) % 44.53/44.73 (define @t131 () (= @t41 tptp.empty_set)) % 44.53/44.73 (define @t132 () (tptp.quasi_total @t41 @t1 @t2)) % 44.53/44.73 (define @t133 () (= @t1 tptp.empty_set)) % 44.53/44.73 (define @t134 () (= @t2 tptp.empty_set)) % 44.53/44.73 (define @t135 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 44.53/44.73 (define @t136 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 44.53/44.73 (define @t137 () (tptp.the_L_join @t1)) % 44.53/44.73 (define @t138 () (tptp.join @t1 @t2 @t41)) % 44.53/44.73 (define @t139 () (and @t64 @t61)) % 44.53/44.73 (define @t140 () (= @t2 @t41)) % 44.53/44.73 (define @t141 () (= @t1 @t80)) % 44.53/44.73 (define @t142 () (exists @t96 (= @t1 @t128))) % 44.53/44.73 (define @t143 () (tptp.singleton @t1)) % 44.53/44.73 (define @t144 () (tptp.succ @t1)) % 44.53/44.73 (define @t145 () (tptp.the_topology @t1)) % 44.53/44.73 (define @t146 () (tptp.in @t2 @t145)) % 44.53/44.73 (define @t147 () (tptp.union_of_subsets @t58 @t2)) % 44.53/44.73 (define @t148 () (tptp.powerset @t113)) % 44.53/44.73 (define @t149 () (tptp.element @t2 @t148)) % 44.53/44.73 (define @t150 () (tptp.topological_space @t1)) % 44.53/44.73 (define @t151 () (tptp.in @t41 @t2)) % 44.53/44.73 (define @t152 () (tptp.is_reflexive_in @t1 @t2)) % 44.53/44.73 (define @t153 () (tptp.relation_of2 @t41 @t1 @t2)) % 44.53/44.73 (define @t154 () (= @t2 (tptp.set_meet @t1))) % 44.53/44.73 (define @t155 () (tptp.in @t41 @t77)) % 44.53/44.73 (define @t156 () (tptp.in @t77 @t1)) % 44.53/44.73 (define @t157 () (not @t133)) % 44.53/44.73 (define @t158 () (tptp.empty @t58)) % 44.53/44.73 (define @t159 () (tptp.one_sorted_str @t1)) % 44.53/44.73 (define @t160 () (tptp.subset_complement @t58 @t2)) % 44.53/44.73 (define @t161 () (tptp.interior @t1 @t2)) % 44.53/44.73 (define @t162 () (tptp.open_subset @t41 @t1)) % 44.53/44.73 (define @t163 () (tptp.open_subsets @t2 @t1)) % 44.53/44.73 (define @t164 () (= @t77 @t2)) % 44.53/44.73 (define @t165 () (tptp.subset @t41 @t77)) % 44.53/44.73 (define @t166 () (tptp.relation_field @t2)) % 44.53/44.73 (define @t167 () (tptp.inclusion_relation @t1)) % 44.53/44.73 (define @t168 () (tptp.set_meet @t2)) % 44.53/44.73 (define @t169 () (not @t134)) % 44.53/44.73 (define @t170 () (tptp.the_L_meet @t1)) % 44.53/44.73 (define @t171 () (tptp.meet @t1 @t2 @t41)) % 44.53/44.73 (define @t172 () (= @t2 @t77)) % 44.53/44.73 (define @t173 () (tptp.empty_carrier_subset @t1)) % 44.53/44.73 (define @t174 () (tptp.in @t80 @t1)) % 44.53/44.73 (define @t175 () (tptp.empty @t2)) % 44.53/44.73 (define @t176 () (not @t22)) % 44.53/44.73 (define @t177 () (forall @t107 (=> @t116 (=> @t151 (tptp.closed_subset @t41 @t1))))) % 44.53/44.73 (define @t178 () (tptp.closed_subsets @t2 @t1)) % 44.53/44.73 (define @t179 () (tptp.well_founded_relation @t1)) % 44.53/44.73 (define @t180 () (@var "F" $$unsorted)) % 44.53/44.73 (define @t181 () (tptp.ordered_pair @t89 @t180)) % 44.53/44.73 (define @t182 () (tptp.in @t180 @t2)) % 44.53/44.73 (define @t183 () (@list @t89 @t180)) % 44.53/44.73 (define @t184 () (tptp.subset @t41 @t2)) % 44.53/44.73 (define @t185 () (tptp.element @t41 @t148)) % 44.53/44.73 (define @t186 () (tptp.is_a_cover_of_carrier @t1 @t2)) % 44.53/44.73 (define @t187 () (tptp.compact_top_space @t1)) % 44.53/44.73 (define @t188 () (tptp.below @t1 @t2 @t41)) % 44.53/44.73 (define @t189 () (not @t151)) % 44.53/44.73 (define @t190 () (not @t140)) % 44.53/44.73 (define @t191 () (tptp.in @t2 @t41)) % 44.53/44.73 (define @t192 () (tptp.cast_as_carrier_subset @t1)) % 44.53/44.73 (define @t193 () (forall @t107 (=> @t79 @t151))) % 44.53/44.73 (define @t194 () (not @t131)) % 44.53/44.73 (define @t195 () (tptp.is_well_founded_in @t1 @t2)) % 44.53/44.73 (define @t196 () (tptp.apply @t1 @t2)) % 44.53/44.73 (define @t197 () (= @t41 @t196)) % 44.53/44.73 (define @t198 () (tptp.in @t2 @t98)) % 44.53/44.73 (define @t199 () (tptp.in (tptp.ordered_pair @t77 @t41) @t1)) % 44.53/44.73 (define @t200 () (tptp.is_antisymmetric_in @t1 @t2)) % 44.53/44.73 (define @t201 () (tptp.cast_to_subset @t1)) % 44.53/44.73 (define @t202 () (tptp.union @t1)) % 44.53/44.73 (define @t203 () (tptp.reflexive @t1)) % 44.53/44.73 (define @t204 () (tptp.well_ordering @t1)) % 44.53/44.73 (define @t205 () (tptp.relation_rng @t41)) % 44.53/44.73 (define @t206 () (tptp.relation_dom @t41)) % 44.53/44.73 (define @t207 () (= @t206 @t1)) % 44.53/44.73 (define @t208 () (tptp.one_to_one @t41)) % 44.53/44.73 (define @t209 () (tptp.function @t41)) % 44.53/44.73 (define @t210 () (tptp.equipotent @t1 @t2)) % 44.53/44.73 (define @t211 () (not @t92)) % 44.53/44.73 (define @t212 () (tptp.set_difference @t1 @t2)) % 44.53/44.73 (define @t213 () (and @t111 (= @t41 @t110))) % 44.53/44.73 (define @t214 () (tptp.relation_rng @t1)) % 44.53/44.73 (define @t215 () (= @t2 @t214)) % 44.53/44.73 (define @t216 () (tptp.the_InternalRel @t1)) % 44.53/44.73 (define @t217 () (tptp.transitive_relstr @t1)) % 44.53/44.73 (define @t218 () (= @t217 (tptp.is_transitive_in @t216 @t58))) % 44.53/44.73 (define @t219 () (tptp.rel_str @t1)) % 44.53/44.73 (define @t220 () (forall @t13 (=> @t219 @t218))) % 44.53/44.73 (define @t221 () (tptp.being_limit_ordinal @t1)) % 44.53/44.73 (define @t222 () (tptp.open_subset @t2 @t1)) % 44.53/44.73 (define @t223 () (tptp.subset_complement @t1 @t2)) % 44.53/44.73 (define @t224 () (tptp.ordered_pair @t1 @t2)) % 44.53/44.73 (define @t225 () (tptp.is_connected_in @t1 @t2)) % 44.53/44.73 (define @t226 () (tptp.is_transitive_in @t1 @t2)) % 44.53/44.73 (define @t227 () (tptp.antisymmetric_relstr @t1)) % 44.53/44.73 (define @t228 () (tptp.subset_difference @t58 @t192 @t2)) % 44.53/44.73 (define @t229 () (tptp.closed_subset @t2 @t1)) % 44.53/44.73 (define @t230 () (not @t174)) % 44.53/44.73 (define @t231 () (tptp.cartesian_product2 @t2 @t2)) % 44.53/44.73 (define @t232 () (tptp.relation_restriction @t1 @t2)) % 44.53/44.73 (define @t233 () (tptp.relation_inverse @t1)) % 44.53/44.73 (define @t234 () (tptp.apply @t41 @t89)) % 44.53/44.73 (define @t235 () (tptp.apply @t41 @t77)) % 44.53/44.73 (define @t236 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 44.53/44.73 (define @t237 () (and @t42 @t209)) % 44.53/44.73 (define @t238 () (tptp.disjoint @t1 @t2)) % 44.53/44.73 (define @t239 () (tptp.meet_absorbing @t1)) % 44.53/44.73 (define @t240 () (tptp.latt_str @t1)) % 44.53/44.73 (define @t241 () (@list @t180)) % 44.53/44.73 (define @t242 () (tptp.relation_composition @t1 @t2)) % 44.53/44.73 (define @t243 () (tptp.ordered_pair @t41 @t89)) % 44.53/44.73 (define @t244 () (tptp.in @t243 @t1)) % 44.53/44.73 (define @t245 () (and @t151 @t92 @t97 @t174 @t91)) % 44.53/44.73 (define @t246 () (@list @t41 @t77 @t89)) % 44.53/44.73 (define @t247 () (forall @t246 (=> @t245 @t244))) % 44.53/44.73 (define @t248 () (= @t226 @t247)) % 44.53/44.73 (define @t249 () (forall @t11 @t248)) % 44.53/44.73 (define @t250 () (=> @t40 @t249)) % 44.53/44.73 (define @t251 () (forall @t13 @t250)) % 44.53/44.73 (define @t252 () (tptp.complements_of_subsets @t1 @t2)) % 44.53/44.73 (define @t253 () (tptp.powerset @t24)) % 44.53/44.73 (define @t254 () (tptp.element @t2 @t253)) % 44.53/44.73 (define @t255 () (not @t88)) % 44.53/44.73 (define @t256 () (tptp.function_inverse @t1)) % 44.53/44.73 (define @t257 () (tptp.related @t1 @t2 @t41)) % 44.53/44.73 (define @t258 () (= @t257 (tptp.in @t128 @t216))) % 44.53/44.73 (define @t259 () (forall @t107 (=> @t59 @t258))) % 44.53/44.73 (define @t260 () (=> @t60 @t259)) % 44.53/44.73 (define @t261 () (forall @t11 @t260)) % 44.53/44.73 (define @t262 () (=> @t219 @t261)) % 44.53/44.73 (define @t263 () (forall @t13 @t262)) % 44.53/44.73 (define @t264 () (and @t118 @t117)) % 44.53/44.73 (define @t265 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t77 @t89 @t180)) % 44.53/44.73 (define @t266 () (tptp.function @t77)) % 44.53/44.73 (define @t267 () (not @t175)) % 44.53/44.73 (define @t268 () (and @t176 @t267 @t266 (tptp.quasi_total @t77 @t43 @t41) (tptp.relation_of2 @t77 @t43 @t41) (tptp.element @t89 @t1) (tptp.element @t180 @t2))) % 44.53/44.73 (define @t269 () (@list @t1 @t2 @t41 @t77 @t89 @t180)) % 44.53/44.73 (define @t270 () (tptp.relation @t233)) % 44.53/44.73 (define @t271 () (tptp.relation @t242)) % 44.53/44.73 (define @t272 () (and @t40 @t85)) % 44.53/44.73 (define @t273 () (tptp.powerset @t2)) % 44.53/44.73 (define @t274 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 44.53/44.73 (define @t275 () (tptp.union_of_subsets @t1 @t2)) % 44.53/44.73 (define @t276 () (tptp.relation @t83)) % 44.53/44.73 (define @t277 () (tptp.meet_of_subsets @t1 @t2)) % 44.53/44.73 (define @t278 () (tptp.subset_difference @t1 @t2 @t41)) % 44.53/44.73 (define @t279 () (tptp.relation @t95)) % 44.53/44.73 (define @t280 () (tptp.relation @t106)) % 44.53/44.73 (define @t281 () (forall @t45 (=> @t136 @t44))) % 44.53/44.73 (define @t282 () (tptp.cartesian_product2 @t58 @t58)) % 44.53/44.73 (define @t283 () (tptp.relation_of2_as_subset @t216 @t58 @t58)) % 44.53/44.73 (define @t284 () (forall @t13 (=> @t219 @t283))) % 44.53/44.73 (define @t285 () (tptp.finite @t67)) % 44.53/44.73 (define @t286 () (tptp.relation_composition @t2 @t1)) % 44.53/44.73 (define @t287 () (and @t22 @t85)) % 44.53/44.73 (define @t288 () (tptp.relation_empty_yielding tptp.empty_set)) % 44.53/44.73 (define @t289 () (tptp.relation tptp.empty_set)) % 44.53/44.73 (define @t290 () (tptp.empty tptp.empty_set)) % 44.53/44.73 (define @t291 () (tptp.relation_empty_yielding @t1)) % 44.53/44.73 (define @t292 () (and @t40 @t291)) % 44.53/44.73 (define @t293 () (not (tptp.empty @t143))) % 44.53/44.73 (define @t294 () (not (tptp.empty @t24))) % 44.53/44.73 (define @t295 () (not (tptp.empty @t144))) % 44.53/44.73 (define @t296 () (and @t64 @t159)) % 44.53/44.73 (define @t297 () (tptp.v1_membered @t67)) % 44.53/44.73 (define @t298 () (tptp.v1_membered @t66)) % 44.53/44.73 (define @t299 () (tptp.v2_membered @t67)) % 44.53/44.73 (define @t300 () (tptp.ordinal @t144)) % 44.53/44.73 (define @t301 () (tptp.epsilon_connected @t144)) % 44.53/44.73 (define @t302 () (tptp.epsilon_transitive @t144)) % 44.53/44.73 (define @t303 () (and @t150 @t118 @t117)) % 44.53/44.73 (define @t304 () (tptp.v2_membered @t66)) % 44.53/44.73 (define @t305 () (tptp.v3_membered @t67)) % 44.53/44.73 (define @t306 () (tptp.v3_membered @t66)) % 44.53/44.73 (define @t307 () (tptp.v4_membered @t67)) % 44.53/44.73 (define @t308 () (tptp.v4_membered @t66)) % 44.53/44.73 (define @t309 () (tptp.v1_membered @t212)) % 44.53/44.73 (define @t310 () (tptp.v2_membered @t212)) % 44.53/44.73 (define @t311 () (tptp.v3_membered @t212)) % 44.53/44.73 (define @t312 () (tptp.open_subset @t160 @t1)) % 44.53/44.73 (define @t313 () (tptp.v4_membered @t212)) % 44.53/44.73 (define @t314 () (tptp.closed_subset @t160 @t1)) % 44.53/44.73 (define @t315 () (and @t85 @t126)) % 44.53/44.73 (define @t316 () (and @t150 @t118)) % 44.53/44.73 (define @t317 () (tptp.empty @t98)) % 44.53/44.73 (define @t318 () (and @t176 @t40)) % 44.53/44.73 (define @t319 () (tptp.empty @t214)) % 44.53/44.73 (define @t320 () (tptp.open_subset @t161 @t1)) % 44.53/44.73 (define @t321 () (tptp.in @t2 @t108)) % 44.53/44.73 (define @t322 () (tptp.disjoint @t143 @t2)) % 44.53/44.73 (define @t323 () (not @t5)) % 44.53/44.73 (define @t324 () (tptp.well_ordering @t2)) % 44.53/44.73 (define @t325 () (forall @t107 (=> @t151 @t79))) % 44.53/44.73 (define @t326 () (=> @t25 @t325)) % 44.53/44.73 (define @t327 () (forall @t6 @t326)) % 44.53/44.73 (define @t328 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 44.53/44.73 (define @t329 () (tptp.singleton @t41)) % 44.53/44.73 (define @t330 () (not @t129)) % 44.53/44.73 (define @t331 () (tptp.singleton @t2)) % 44.53/44.73 (define @t332 () (tptp.union @t2)) % 44.53/44.73 (define @t333 () (tptp.in @t1 @t41)) % 44.53/44.73 (define @t334 () (tptp.element @t1 @t273)) % 44.53/44.73 (define @t335 () (tptp.relation_dom_restriction @t41 @t1)) % 44.53/44.73 (define @t336 () (tptp.in @t2 (tptp.relation_dom @t335))) % 44.53/44.73 (define @t337 () (tptp.one_to_one @t2)) % 44.53/44.73 (define @t338 () (and @t64 @t150 @t118)) % 44.53/44.73 (define @t339 () (tptp.set_intersection2 @t2 @t41)) % 44.53/44.73 (define @t340 () (tptp.set_difference @t2 @t41)) % 44.53/44.73 (define @t341 () (@var "K" $$unsorted)) % 44.53/44.73 (define @t342 () (@var "J" $$unsorted)) % 44.53/44.73 (define @t343 () (tptp.in @t341 @t342)) % 44.53/44.73 (define @t344 () (@list @t341)) % 44.53/44.73 (define @t345 () (@list @t342)) % 44.53/44.73 (define @t346 () (= @t77 @t89)) % 44.53/44.73 (define @t347 () (@var "I" $$unsorted)) % 44.53/44.73 (define @t348 () (@var "H" $$unsorted)) % 44.53/44.73 (define @t349 () (tptp.in @t347 @t348)) % 44.53/44.73 (define @t350 () (@list @t347)) % 44.53/44.73 (define @t351 () (@list @t348)) % 44.53/44.73 (define @t352 () (exists @t351 (and (= @t41 @t348) (tptp.in @t89 @t348) (forall @t350 (=> @t349 (tptp.in (tptp.ordered_pair @t89 @t347) @t2)))))) % 44.53/44.73 (define @t353 () (@var "G" $$unsorted)) % 44.53/44.73 (define @t354 () (tptp.in @t353 @t180)) % 44.53/44.73 (define @t355 () (@list @t353)) % 44.53/44.73 (define @t356 () (exists @t241 (and (= @t41 @t180) (tptp.in @t77 @t180) (forall @t355 (=> @t354 (tptp.in (tptp.ordered_pair @t77 @t353) @t2)))))) % 44.53/44.73 (define @t357 () (forall @t246 (=> (and @t79 @t356 @t79 @t352) @t346))) % 44.53/44.73 (define @t358 () (and @t176 @t85)) % 44.53/44.73 (define @t359 () (= @t77 @t331)) % 44.53/44.73 (define @t360 () (= @t41 @t331)) % 44.53/44.73 (define @t361 () (forall @t130 (=> (and @t3 @t360 @t3 @t359) @t78))) % 44.53/44.73 (define @t362 () (tptp.subset_complement @t58 @t348)) % 44.53/44.73 (define @t363 () (= @t348 @t77)) % 44.53/44.73 (define @t364 () (tptp.element @t348 @t113)) % 44.53/44.73 (define @t365 () (forall @t351 (=> @t364 (=> @t363 (= @t89 @t362))))) % 44.53/44.73 (define @t366 () (tptp.complements_of_subsets @t58 @t2)) % 44.53/44.73 (define @t367 () (tptp.in @t77 @t366)) % 44.53/44.73 (define @t368 () (tptp.element @t353 @t113)) % 44.53/44.73 (define @t369 () (forall @t355 (=> @t368 (=> (= @t353 @t41) (= @t89 (tptp.subset_complement @t58 @t353)))))) % 44.53/44.73 (define @t370 () (tptp.in @t41 @t366)) % 44.53/44.73 (define @t371 () (tptp.element @t180 @t113)) % 44.53/44.73 (define @t372 () (forall @t241 (=> @t371 (=> (= @t180 @t41) (= @t77 (tptp.subset_complement @t58 @t180)))))) % 44.53/44.73 (define @t373 () (forall @t246 (=> (and @t370 @t372 @t370 @t369) @t346))) % 44.53/44.73 (define @t374 () (and @t159 @t149)) % 44.53/44.73 (define @t375 () (forall @t246 (=> (and @t151 @t372 @t151 @t369) @t346))) % 44.53/44.73 (define @t376 () (tptp.ordinal @t41)) % 44.53/44.73 (define @t377 () (@var "S" $$unsorted)) % 44.53/44.73 (define @t378 () (@var "T" $$unsorted)) % 44.53/44.73 (define @t379 () (@var "R" $$unsorted)) % 44.53/44.73 (define @t380 () (tptp.powerset (tptp.powerset @t77))) % 44.53/44.73 (define @t381 () (@list @t379)) % 44.53/44.73 (define @t382 () (tptp.in @t77 tptp.omega)) % 44.53/44.73 (define @t383 () (tptp.ordinal @t77)) % 44.53/44.73 (define @t384 () (@var "P" $$unsorted)) % 44.53/44.73 (define @t385 () (@var "Q" $$unsorted)) % 44.53/44.73 (define @t386 () (@var "O" $$unsorted)) % 44.53/44.73 (define @t387 () (@list @t385)) % 44.53/44.73 (define @t388 () (@list @t384)) % 44.53/44.73 (define @t389 () (@list @t386)) % 44.53/44.73 (define @t390 () (@var "M" $$unsorted)) % 44.53/44.73 (define @t391 () (@var "N" $$unsorted)) % 44.53/44.73 (define @t392 () (@var "L" $$unsorted)) % 44.53/44.73 (define @t393 () (@list @t391)) % 44.53/44.73 (define @t394 () (tptp.in @t390 @t392)) % 44.53/44.73 (define @t395 () (@list @t390)) % 44.53/44.73 (define @t396 () (@list @t392)) % 44.53/44.73 (define @t397 () (tptp.succ @t77)) % 44.53/44.73 (define @t398 () (=> @t382 (forall @t99 (=> (tptp.element @t89 @t380) (not (and (not (= @t89 tptp.empty_set)) (forall @t241 (not (and (tptp.in @t180 @t89) (forall @t355 (=> (and (tptp.in @t353 @t89) (tptp.subset @t180 @t353)) (= @t353 @t180)))))))))))) % 44.53/44.73 (define @t399 () (tptp.subset @t2 @t41)) % 44.53/44.73 (define @t400 () (tptp.powerset tptp.empty_set)) % 44.53/44.73 (define @t401 () (tptp.apply @t41 @t180)) % 44.53/44.73 (define @t402 () (tptp.in @t180 @t1)) % 44.53/44.73 (define @t403 () (tptp.relation @t77)) % 44.53/44.73 (define @t404 () (and @t85 @t42 @t209)) % 44.53/44.73 (define @t405 () (forall @t344 (=> @t343 (tptp.in (tptp.ordered_pair @t77 @t341) @t2)))) % 44.53/44.73 (define @t406 () (tptp.in @t77 @t342)) % 44.53/44.73 (define @t407 () (= @t180 @t89)) % 44.53/44.73 (define @t408 () (tptp.cartesian_product2 @t1 @t41)) % 44.53/44.73 (define @t409 () (= @t89 @t180)) % 44.53/44.73 (define @t410 () (tptp.ordered_pair @t341 @t392)) % 44.53/44.73 (define @t411 () (@list @t341 @t392)) % 44.53/44.73 (define @t412 () (= @t77 @t180)) % 44.53/44.73 (define @t413 () (tptp.in @t342 @t347)) % 44.53/44.73 (define @t414 () (tptp.in @t353 @t1)) % 44.53/44.73 (define @t415 () (tptp.ordered_pair @t353 @t348)) % 44.53/44.73 (define @t416 () (= @t415 @t89)) % 44.53/44.73 (define @t417 () (@list @t353 @t348)) % 44.53/44.73 (define @t418 () (@list @t77 @t89 @t180)) % 44.53/44.73 (define @t419 () (tptp.ordered_pair @t342 @t341)) % 44.53/44.73 (define @t420 () (@list @t342 @t341)) % 44.53/44.73 (define @t421 () (= @t89 @t77)) % 44.53/44.73 (define @t422 () (tptp.in @t348 @t1)) % 44.53/44.73 (define @t423 () (= @t41 @t89)) % 44.53/44.73 (define @t424 () (tptp.ordered_pair @t180 @t353)) % 44.53/44.73 (define @t425 () (@list @t180 @t353)) % 44.53/44.73 (define @t426 () (= @t77 @t41)) % 44.53/44.73 (define @t427 () (not (and (not (= @t180 tptp.empty_set)) (forall @t355 (not (and @t354 (forall @t351 (=> (and (tptp.in @t348 @t180) (tptp.subset @t353 @t348)) (= @t348 @t353))))))))) % 44.53/44.73 (define @t428 () (tptp.ordinal @t89)) % 44.53/44.73 (define @t429 () (tptp.subset @t2 @t77)) % 44.53/44.73 (define @t430 () (tptp.in @t89 @t113)) % 44.53/44.73 (define @t431 () (tptp.in (tptp.set_difference @t192 @t77) @t2)) % 44.53/44.73 (define @t432 () (and @t150 @t118 @t149)) % 44.53/44.73 (define @t433 () (tptp.in @t353 @t2)) % 44.53/44.73 (define @t434 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t144))))) % 44.53/44.73 (define @t435 () (= @t77 @t362)) % 44.53/44.73 (define @t436 () (forall @t351 (=> @t364 (=> (= @t348 @t89) @t435)))) % 44.53/44.73 (define @t437 () (tptp.in @t89 @t366)) % 44.53/44.73 (define @t438 () (forall @t389 (=> (tptp.element @t386 @t113) (=> (= @t386 @t390) (= @t391 (tptp.subset_complement @t58 @t386)))))) % 44.53/44.73 (define @t439 () (= (tptp.ordered_pair @t390 @t391) @t89)) % 44.53/44.73 (define @t440 () (@list @t390 @t391)) % 44.53/44.73 (define @t441 () (tptp.cartesian_product2 @t366 @t41)) % 44.53/44.73 (define @t442 () (forall @t396 (=> (tptp.element @t392 @t113) (=> (= @t392 @t342) (= @t341 (tptp.subset_complement @t58 @t392)))))) % 44.53/44.73 (define @t443 () (= @t419 @t180)) % 44.53/44.73 (define @t444 () (tptp.subset_complement @t58 @t347)) % 44.53/44.73 (define @t445 () (tptp.element @t347 @t113)) % 44.53/44.73 (define @t446 () (forall @t350 (=> @t445 (=> (= @t347 @t353) (= @t348 @t444))))) % 44.53/44.73 (define @t447 () (tptp.cartesian_product2 @t2 @t41)) % 44.53/44.73 (define @t448 () (tptp.cartesian_product2 @t1 @t1)) % 44.53/44.73 (define @t449 () (tptp.apply @t41 @t353)) % 44.53/44.73 (define @t450 () (tptp.in (tptp.relation_image @t41 @t89) @t2)) % 44.53/44.73 (define @t451 () (tptp.powerset @t206)) % 44.53/44.73 (define @t452 () (and @t254 @t42 @t209)) % 44.53/44.73 (define @t453 () (tptp.succ @t2)) % 44.53/44.73 (define @t454 () (= @t424 @t89)) % 44.53/44.73 (define @t455 () (exists @t99 (and @t114 @t421 (tptp.closed_subset @t89 @t1) @t429))) % 44.53/44.73 (define @t456 () (tptp.in @t77 @t113)) % 44.53/44.73 (define @t457 () (forall @t351 (=> @t364 (=> (= @t348 @t180) (= @t353 @t362))))) % 44.53/44.73 (define @t458 () (tptp.apply @t2 @t41)) % 44.53/44.73 (define @t459 () (= @t124 @t1)) % 44.53/44.73 (define @t460 () (exists @t11 (and @t85 @t126 @t459 (forall @t107 (=> @t79 (= @t458 @t329)))))) % 44.53/44.73 (define @t461 () (forall @t350 (=> @t445 (=> (= @t347 @t77) (= @t235 @t444))))) % 44.53/44.73 (define @t462 () (forall @t101 (not (forall @t351 (=> @t364 (=> (= @t348 @t41) @t435)))))) % 44.53/44.73 (define @t463 () (tptp.in @t1 tptp.omega)) % 44.53/44.73 (define @t464 () (tptp.element @t77 @t113)) % 44.53/44.73 (define @t465 () (= @t252 tptp.empty_set)) % 44.53/44.73 (define @t466 () (not (and @t169 @t465))) % 44.53/44.73 (define @t467 () (= @t1 @t41)) % 44.53/44.73 (define @t468 () (tptp.relation_rng @t106)) % 44.53/44.73 (define @t469 () (tptp.meet_of_subsets @t1 @t252)) % 44.53/44.73 (define @t470 () (tptp.union_of_subsets @t1 @t252)) % 44.53/44.73 (define @t471 () (forall @t107 (not (and @t184 (not (tptp.are_equipotent @t41 @t2)) @t189)))) % 44.53/44.73 (define @t472 () (tptp.powerset @t41)) % 44.53/44.73 (define @t473 () (forall @t82 (=> (and @t151 (tptp.subset @t77 @t41)) @t92))) % 44.53/44.73 (define @t474 () (tptp.meet_of_subsets @t58 @t2)) % 44.53/44.73 (define @t475 () (tptp.relation_dom_restriction @t41 @t2)) % 44.53/44.73 (define @t476 () (tptp.relation_image @t2 @t1)) % 44.53/44.73 (define @t477 () (tptp.relation_inverse_image @t2 @t1)) % 44.53/44.73 (define @t478 () (tptp.relation_image @t2 @t477)) % 44.53/44.73 (define @t479 () (tptp.set_intersection2 @t124 @t1)) % 44.53/44.73 (define @t480 () (tptp.subset @t1 @t125)) % 44.53/44.73 (define @t481 () (tptp.relation_of2_as_subset @t77 @t41 @t2)) % 44.53/44.73 (define @t482 () (tptp.relation_rng @t77)) % 44.53/44.73 (define @t483 () (tptp.relation_of2_as_subset @t77 @t41 @t1)) % 44.53/44.73 (define @t484 () (tptp.relation_rng @t242)) % 44.53/44.73 (define @t485 () (tptp.relation_inverse_image @t41 @t2)) % 44.53/44.73 (define @t486 () (tptp.relation_restriction @t41 @t2)) % 44.53/44.73 (define @t487 () (tptp.relation_restriction @t2 @t1)) % 44.53/44.73 (define @t488 () (tptp.relation_dom_restriction @t2 @t1)) % 44.53/44.73 (define @t489 () (tptp.relation_field @t41)) % 44.53/44.73 (define @t490 () (tptp.in @t1 @t489)) % 44.53/44.73 (define @t491 () (tptp.subset @t1 @t41)) % 44.53/44.73 (define @t492 () (tptp.element @t1 @t2)) % 44.53/44.73 (define @t493 () (tptp.in @t1 @t206)) % 44.53/44.73 (define @t494 () (tptp.in @t224 @t41)) % 44.53/44.73 (define @t495 () (tptp.relation_field @t487)) % 44.53/44.73 (define @t496 () (tptp.apply @t41 @t1)) % 44.53/44.73 (define @t497 () (tptp.relation_composition @t41 @t2)) % 44.53/44.73 (define @t498 () (tptp.in @t1 (tptp.relation_dom @t497))) % 44.53/44.73 (define @t499 () (tptp.apply @t77 @t41)) % 44.53/44.73 (define @t500 () (and @t266 (tptp.quasi_total @t77 @t1 @t2) (tptp.relation_of2_as_subset @t77 @t1 @t2))) % 44.53/44.73 (define @t501 () (tptp.reflexive @t2)) % 44.53/44.73 (define @t502 () (tptp.connected @t2)) % 44.53/44.73 (define @t503 () (tptp.transitive @t2)) % 44.53/44.73 (define @t504 () (tptp.antisymmetric @t2)) % 44.53/44.73 (define @t505 () (tptp.well_ordering @t487)) % 44.53/44.73 (define @t506 () (= @t495 @t1)) % 44.53/44.73 (define @t507 () (tptp.well_orders @t2 @t1)) % 44.53/44.73 (define @t508 () (tptp.related @t1 @t2 @t77)) % 44.53/44.73 (define @t509 () (tptp.related @t1 @t41 @t77)) % 44.53/44.73 (define @t510 () (and @t257 @t509)) % 44.53/44.73 (define @t511 () (=> @t510 @t508)) % 44.53/44.73 (define @t512 () (tptp.element @t77 @t58)) % 44.53/44.73 (define @t513 () (forall @t101 (=> @t512 @t511))) % 44.53/44.73 (define @t514 () (=> @t59 @t513)) % 44.53/44.73 (define @t515 () (forall @t107 @t514)) % 44.53/44.73 (define @t516 () (=> @t60 @t515)) % 44.53/44.73 (define @t517 () (forall @t11 @t516)) % 44.53/44.73 (define @t518 () (and @t217 @t219)) % 44.53/44.73 (define @t519 () (=> @t518 @t517)) % 44.53/44.73 (define @t520 () (forall @t13 @t519)) % 44.53/44.73 (define @t521 () (not @t520)) % 44.53/44.73 (define @t522 () (or @t175 @t5)) % 44.53/44.73 (define @t523 () (forall @t6 (=> @t492 @t522))) % 44.53/44.73 (define @t524 () (tptp.well_founded_relation @t2)) % 44.53/44.73 (define @t525 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 44.53/44.73 (define @t526 () (and @t79 @t151)) % 44.53/44.73 (define @t527 () (not @t238)) % 44.53/44.73 (define @t528 () (= @t1 @t453)) % 44.53/44.73 (define @t529 () (tptp.subset_complement @t1 @t41)) % 44.53/44.73 (define @t530 () (tptp.disjoint @t2 @t41)) % 44.53/44.73 (define @t531 () (tptp.relation_dom @t242)) % 44.53/44.73 (define @t532 () (and (tptp.closed_subset @t77 @t1) @t429)) % 44.53/44.73 (define @t533 () (tptp.element @t2 @t472)) % 44.53/44.73 (define @t534 () (tptp.in @t41 @t67)) % 44.53/44.73 (define @t535 () (= @t115 @t2)) % 44.53/44.73 (define @t536 () (and (tptp.in @t41 @t214) (= @t77 @t458))) % 44.53/44.73 (define @t537 () (tptp.function_inverse @t2)) % 44.53/44.73 (define @t538 () (tptp.relation_rng tptp.empty_set)) % 44.53/44.73 (define @t539 () (tptp.relation_dom tptp.empty_set)) % 44.53/44.73 (define @t540 () (= @t214 tptp.empty_set)) % 44.53/44.73 (define @t541 () (= @t98 tptp.empty_set)) % 44.53/44.73 (define @t542 () (forall @t13 (=> @t22 @t133))) % 44.53/44.73 (define @t543 () (= (tptp.apply @t335 @t2) (tptp.apply @t41 @t2))) % 44.53/44.73 (define @t544 () (forall @t6 (not (and @t5 @t175)))) % 44.53/44.73 (define @t545 () (= @t143 (tptp.unordered_pair @t2 @t41))) % 44.53/44.73 (define @t546 () (@var "BOUND_VARIABLE_17882" $$unsorted)) % 44.53/44.73 (define @t547 () (@var "BOUND_VARIABLE_17878" $$unsorted)) % 44.53/44.73 (define @t548 () (tptp.related @t1 @t547 @t546)) % 44.53/44.73 (define @t549 () (@var "BOUND_VARIABLE_17880" $$unsorted)) % 44.53/44.73 (define @t550 () (not (tptp.related @t1 @t549 @t546))) % 44.53/44.73 (define @t551 () (not (tptp.element @t546 @t58))) % 44.53/44.73 (define @t552 () (not (tptp.related @t1 @t547 @t549))) % 44.53/44.73 (define @t553 () (not (tptp.element @t549 @t58))) % 44.53/44.73 (define @t554 () (not (tptp.element @t547 @t58))) % 44.53/44.73 (define @t555 () (not @t219)) % 44.53/44.73 (define @t556 () (not @t217)) % 44.53/44.73 (define @t557 () (or @t556 @t555 @t554 @t553 @t552 @t551 @t550 @t548)) % 44.53/44.73 (define @t558 () (@list @t1 @t547 @t549 @t546)) % 44.53/44.73 (define @t559 () (forall @t558 @t557)) % 44.53/44.73 (define @t560 () (@quantifiers_skolemize @t559 2)) % 44.53/44.73 (define @t561 () (not @t290)) % 44.53/44.73 (define @t562 () (not (tptp.in @t560 tptp.empty_set))) % 44.53/44.73 (define @t563 () (or @t562 @t561)) % 44.53/44.73 (define @t564 () (@list false false)) % 44.53/44.73 (define @t565 () (tptp.in @t560 @t539)) % 44.53/44.73 (define @t566 () (@quantifiers_skolemize @t559 3)) % 44.53/44.73 (define @t567 () (@var "BOUND_VARIABLE_13909" $$unsorted)) % 44.53/44.73 (define @t568 () (tptp.in @t567 @t1)) % 44.53/44.73 (define @t569 () (not (tptp.in @t567 @t2))) % 44.53/44.73 (define @t570 () (not @t25)) % 44.53/44.73 (define @t571 () (or @t569 @t568)) % 44.53/44.73 (define @t572 () (or @t570 @t571)) % 44.53/44.73 (define @t573 () (forall (@list @t1 @t2 @t567) @t572)) % 44.53/44.73 (define @t574 () (@list @t567)) % 44.53/44.73 (define @t575 () (forall @t574 @t572)) % 44.53/44.73 (define @t576 () (forall @t574 @t571)) % 44.53/44.73 (define @t577 () (@list @t41)) % 44.53/44.73 (define @t578 () (or @t570 @t576)) % 44.53/44.73 (define @t579 () (forall @t107 (or @t189 @t79))) % 44.53/44.73 (define @t580 () (tptp.ordered_pair @t560 @t566)) % 44.53/44.73 (define @t581 () (@quantifiers_skolemize @t559 0)) % 44.53/44.73 (define @t582 () (tptp.the_InternalRel @t581)) % 44.53/44.73 (define @t583 () (tptp.cartesian_product2 @t539 @t538)) % 44.53/44.73 (define @t584 () (tptp.the_carrier @t581)) % 44.53/44.73 (define @t585 () (@list @t584 @t584 @t582)) % 44.53/44.73 (define @t586 () (@list @t581)) % 44.53/44.73 (define @t587 () (or @t554 @t553 @t552 @t551 @t550 @t548)) % 44.53/44.73 (define @t588 () (or @t556 @t555 @t587)) % 44.53/44.73 (define @t589 () (forall @t558 @t588)) % 44.53/44.73 (define @t590 () (@list @t547 @t549 @t546)) % 44.53/44.73 (define @t591 () (forall @t590 @t588)) % 44.53/44.73 (define @t592 () (forall @t590 @t587)) % 44.53/44.73 (define @t593 () (@var "BOUND_VARIABLE_17854" $$unsorted)) % 44.53/44.73 (define @t594 () (@var "BOUND_VARIABLE_17852" $$unsorted)) % 44.53/44.73 (define @t595 () (or @t556 @t555 @t592)) % 44.53/44.73 (define @t596 () (tptp.related @t1 @t2 @t593)) % 44.53/44.73 (define @t597 () (not (tptp.related @t1 @t594 @t593))) % 44.53/44.73 (define @t598 () (not (tptp.element @t593 @t58))) % 44.53/44.73 (define @t599 () (not (tptp.related @t1 @t2 @t594))) % 44.53/44.73 (define @t600 () (not (tptp.element @t594 @t58))) % 44.53/44.73 (define @t601 () (not @t60)) % 44.53/44.73 (define @t602 () (or @t601 @t600 @t599 @t598 @t597 @t596)) % 44.53/44.73 (define @t603 () (@list @t2 @t594 @t593)) % 44.53/44.73 (define @t604 () (forall @t603 @t602)) % 44.53/44.73 (define @t605 () (or @t556 @t555 @t604)) % 44.53/44.73 (define @t606 () (or @t600 @t599 @t598 @t597 @t596)) % 44.53/44.73 (define @t607 () (or @t601 @t606)) % 44.53/44.73 (define @t608 () (forall @t603 @t607)) % 44.53/44.73 (define @t609 () (@list @t594 @t593)) % 44.53/44.73 (define @t610 () (forall @t609 @t607)) % 44.53/44.73 (define @t611 () (forall @t609 @t606)) % 44.53/44.73 (define @t612 () (@var "BOUND_VARIABLE_17835" $$unsorted)) % 44.53/44.73 (define @t613 () (or @t601 @t611)) % 44.53/44.73 (define @t614 () (tptp.related @t1 @t2 @t612)) % 44.53/44.73 (define @t615 () (not (tptp.related @t1 @t41 @t612))) % 44.53/44.73 (define @t616 () (not (tptp.element @t612 @t58))) % 44.53/44.73 (define @t617 () (not @t257)) % 44.53/44.73 (define @t618 () (not @t59)) % 44.53/44.73 (define @t619 () (or @t618 @t617 @t616 @t615 @t614)) % 44.53/44.73 (define @t620 () (@list @t41 @t612)) % 44.53/44.73 (define @t621 () (forall @t620 @t619)) % 44.53/44.73 (define @t622 () (or @t616 @t615 @t614)) % 44.53/44.73 (define @t623 () (or @t618 @t617 @t622)) % 44.53/44.73 (define @t624 () (forall @t620 @t623)) % 44.53/44.73 (define @t625 () (@list @t612)) % 44.53/44.73 (define @t626 () (forall @t625 @t623)) % 44.53/44.73 (define @t627 () (forall @t625 @t622)) % 44.53/44.73 (define @t628 () (or @t618 @t617 @t627)) % 44.53/44.73 (define @t629 () (not @t509)) % 44.53/44.73 (define @t630 () (not @t512)) % 44.53/44.73 (define @t631 () (or @t630 @t629 @t508)) % 44.53/44.73 (define @t632 () (forall @t101 @t631)) % 44.53/44.73 (define @t633 () (or @t618 @t617 @t632)) % 44.53/44.73 (define @t634 () (or @t617 @t632)) % 44.53/44.73 (define @t635 () (or @t617 @t631)) % 44.53/44.73 (define @t636 () (or @t630 @t617 @t629 @t508)) % 44.53/44.73 (define @t637 () (or @t617 @t629 @t508)) % 44.53/44.73 (define @t638 () (tptp.rel_str @t581)) % 44.53/44.73 (define @t639 () (@quantifiers_skolemize @t559 1)) % 44.53/44.73 (define @t640 () (tptp.related @t581 @t639 @t566)) % 44.53/44.73 (define @t641 () (tptp.related @t581 @t560 @t566)) % 44.53/44.73 (define @t642 () (not @t641)) % 44.53/44.73 (define @t643 () (tptp.element @t566 @t584)) % 44.53/44.73 (define @t644 () (not @t643)) % 44.53/44.73 (define @t645 () (tptp.related @t581 @t639 @t560)) % 44.53/44.73 (define @t646 () (not @t645)) % 44.53/44.73 (define @t647 () (tptp.element @t560 @t584)) % 44.53/44.73 (define @t648 () (not @t647)) % 44.53/44.73 (define @t649 () (tptp.element @t639 @t584)) % 44.53/44.73 (define @t650 () (not @t649)) % 44.53/44.73 (define @t651 () (not @t638)) % 44.53/44.73 (define @t652 () (tptp.transitive_relstr @t581)) % 44.53/44.73 (define @t653 () (not @t652)) % 44.53/44.73 (define @t654 () (or @t653 @t651 @t650 @t648 @t646 @t644 @t642 @t640)) % 44.53/44.73 (define @t655 () (@list true)) % 44.53/44.73 (define @t656 () (@list @t654)) % 44.53/44.73 (define @t657 () (tptp.relation_of2_as_subset @t582 @t584 @t584)) % 44.53/44.73 (define @t658 () (or @t651 @t657)) % 44.53/44.73 (define @t659 () (tptp.element @t582 (tptp.powerset (tptp.cartesian_product2 @t584 @t584)))) % 44.53/44.73 (define @t660 () (not @t657)) % 44.53/44.73 (define @t661 () (or @t660 @t659)) % 44.53/44.73 (define @t662 () (tptp.empty @t584)) % 44.53/44.73 (define @t663 () (not @t662)) % 44.53/44.73 (define @t664 () (or @t663 (= @t584 tptp.empty_set))) % 44.53/44.73 (define @t665 () (forall @t13 (or @t176 @t133))) % 44.53/44.73 (define @t666 () (= tptp.empty_set @t584)) % 44.53/44.73 (define @t667 () (or @t663 @t666)) % 44.53/44.73 (define @t668 () (@list false)) % 44.53/44.73 (define @t669 () (not @t492)) % 44.53/44.73 (define @t670 () (tptp.in @t639 @t584)) % 44.53/44.73 (define @t671 () (or @t650 @t662 @t670)) % 44.53/44.73 (define @t672 () (tptp.in @t560 @t584)) % 44.53/44.73 (define @t673 () (or @t648 @t662 @t672)) % 44.53/44.73 (define @t674 () (tptp.in @t566 @t584)) % 44.53/44.73 (define @t675 () (or @t644 @t662 @t674)) % 44.53/44.73 (define @t676 () (@var "BOUND_VARIABLE_13406" $$unsorted)) % 44.53/44.73 (define @t677 () (@var "BOUND_VARIABLE_13404" $$unsorted)) % 44.53/44.73 (define @t678 () (= (tptp.related @t1 @t677 @t676) (tptp.in (tptp.ordered_pair @t677 @t676) @t216))) % 44.53/44.73 (define @t679 () (not (tptp.element @t676 @t58))) % 44.53/44.73 (define @t680 () (not (tptp.element @t677 @t58))) % 44.53/44.73 (define @t681 () (or @t680 @t679 @t678)) % 44.53/44.73 (define @t682 () (or @t555 @t681)) % 44.53/44.73 (define @t683 () (forall (@list @t1 @t677 @t676) @t682)) % 44.53/44.73 (define @t684 () (@list @t677 @t676)) % 44.53/44.73 (define @t685 () (forall @t684 @t682)) % 44.53/44.73 (define @t686 () (forall @t684 @t681)) % 44.53/44.73 (define @t687 () (@var "BOUND_VARIABLE_13386" $$unsorted)) % 44.53/44.73 (define @t688 () (or @t555 @t686)) % 44.53/44.73 (define @t689 () (= (tptp.related @t1 @t2 @t687) (tptp.in (tptp.ordered_pair @t2 @t687) @t216))) % 44.53/44.73 (define @t690 () (not (tptp.element @t687 @t58))) % 44.53/44.73 (define @t691 () (or @t601 @t690 @t689)) % 44.53/44.73 (define @t692 () (@list @t2 @t687)) % 44.53/44.73 (define @t693 () (forall @t692 @t691)) % 44.53/44.73 (define @t694 () (or @t690 @t689)) % 44.53/44.73 (define @t695 () (or @t601 @t694)) % 44.53/44.73 (define @t696 () (forall @t692 @t695)) % 44.53/44.73 (define @t697 () (@list @t687)) % 44.53/44.73 (define @t698 () (forall @t697 @t695)) % 44.53/44.73 (define @t699 () (forall @t697 @t694)) % 44.53/44.73 (define @t700 () (or @t601 @t699)) % 44.53/44.73 (define @t701 () (forall @t107 (or @t618 @t258))) % 44.53/44.73 (define @t702 () (tptp.in (tptp.ordered_pair @t639 @t560) @t582)) % 44.53/44.73 (define @t703 () (= @t645 @t702)) % 44.53/44.73 (define @t704 () (or @t651 @t650 @t648 @t703)) % 44.53/44.73 (define @t705 () (@list false false false false)) % 44.53/44.73 (define @t706 () (tptp.in (tptp.ordered_pair @t639 @t566) @t582)) % 44.53/44.73 (define @t707 () (= @t640 @t706)) % 44.53/44.73 (define @t708 () (or @t651 @t650 @t644 @t707)) % 44.53/44.73 (define @t709 () (not @t706)) % 44.53/44.73 (define @t710 () (tptp.in @t580 @t582)) % 44.53/44.73 (define @t711 () (= @t641 @t710)) % 44.53/44.73 (define @t712 () (or @t651 @t648 @t644 @t711)) % 44.53/44.73 (define @t713 () (not @t91)) % 44.53/44.73 (define @t714 () (@var "BOUND_VARIABLE_13318" $$unsorted)) % 44.53/44.73 (define @t715 () (= (tptp.is_transitive_in @t1 @t714) (forall @t246 (or (not (tptp.in @t41 @t714)) (not (tptp.in @t77 @t714)) (not (tptp.in @t89 @t714)) @t230 @t713 @t244)))) % 44.53/44.73 (define @t716 () (not @t40)) % 44.53/44.73 (define @t717 () (or @t716 @t715)) % 44.53/44.73 (define @t718 () (@list @t714)) % 44.53/44.73 (define @t719 () (forall @t718 @t717)) % 44.53/44.73 (define @t720 () (forall @t718 @t715)) % 44.53/44.73 (define @t721 () (or @t716 @t720)) % 44.53/44.73 (define @t722 () (not @t97)) % 44.53/44.73 (define @t723 () (or @t189 @t211 @t722 @t230 @t713 @t244)) % 44.53/44.73 (define @t724 () (forall @t11 (= @t226 (forall @t246 @t723)))) % 44.53/44.73 (define @t725 () (or @t189 @t211 @t722 @t230 @t713)) % 44.53/44.73 (define @t726 () (tptp.relation @t582)) % 44.53/44.73 (define @t727 () (not @t659)) % 44.53/44.73 (define @t728 () (or @t727 @t726)) % 44.53/44.73 (define @t729 () (forall @t246 (or (not (tptp.in @t41 @t584)) (not (tptp.in @t77 @t584)) (not (tptp.in @t89 @t584)) (not (tptp.in @t80 @t582)) (not (tptp.in @t90 @t582)) (tptp.in @t243 @t582)))) % 44.53/44.73 (define @t730 () (tptp.is_transitive_in @t582 @t584)) % 44.53/44.73 (define @t731 () (= @t730 @t729)) % 44.53/44.73 (define @t732 () (not @t726)) % 44.53/44.73 (define @t733 () (or @t732 @t731)) % 44.53/44.73 (define @t734 () (= @t652 @t730)) % 44.53/44.73 (define @t735 () (or @t651 @t734)) % 44.53/44.73 (define @t736 () (not @t710)) % 44.53/44.73 (define @t737 () (not @t702)) % 44.53/44.73 (define @t738 () (not @t674)) % 44.53/44.73 (define @t739 () (not @t672)) % 44.53/44.73 (define @t740 () (not @t670)) % 44.53/44.73 (define @t741 () (or @t740 @t739 @t738 @t737 @t736 @t706)) % 44.53/44.73 (define @t742 () (tptp.powerset @t583)) % 44.53/44.73 (define @t743 () (tptp.element @t582 @t742)) % 44.53/44.73 (define @t744 () (tptp.in @t580 @t583)) % 44.53/44.73 (define @t745 () (not @t743)) % 44.53/44.73 (define @t746 () (or @t745 @t736 @t744)) % 44.53/44.73 (define @t747 () (and @t565 (tptp.in @t566 @t538))) % 44.53/44.73 (define @t748 () (= @t744 @t747)) % 44.53/44.73 (assume @p1 (forall @t6 (=> @t5 @t4))) % 44.53/44.73 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 44.53/44.73 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 44.53/44.73 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 44.53/44.73 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 44.53/44.73 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 44.53/44.73 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 44.53/44.73 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 44.53/44.73 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 44.53/44.73 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 44.53/44.73 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 44.53/44.73 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 44.53/44.73 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 44.53/44.73 (assume @p14 (forall @t13 (=> @t22 @t33))) % 44.53/44.73 (assume @p15 (forall @t13 (=> @t35 @t34))) % 44.53/44.73 (assume @p16 (forall @t13 (=> @t22 @t36))) % 44.53/44.73 (assume @p17 (forall @t13 (=> @t21 @t19))) % 44.53/44.73 (assume @p18 (forall @t13 (=> @t32 @t39))) % 44.53/44.73 (assume @p19 (forall @t13 (=> @t22 @t40))) % 44.53/44.73 (assume @p20 @t46) % 44.53/44.73 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 44.53/44.73 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t48))) % 44.53/44.73 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t49))))) % 44.53/44.73 (assume @p24 (forall @t13 (=> @t34 @t35))) % 44.53/44.73 (assume @p25 (forall @t13 (=> @t52 @t51))) % 44.53/44.73 (assume @p26 (forall @t13 (=> @t19 @t17))) % 44.53/44.73 (assume @p27 (forall @t13 (=> @t39 @t32))) % 44.53/44.73 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t48))) % 44.53/44.73 (assume @p29 (forall @t13 (=> @t17 @t15))) % 44.53/44.73 (assume @p30 (forall @t13 (=> @t22 @t53))) % 44.53/44.73 (assume @p31 (forall @t13 (=> @t15 @t12))) % 44.53/44.73 (assume @p32 (forall @t6 (= @t54 (tptp.unordered_pair @t2 @t1)))) % 44.53/44.73 (assume @p33 (forall @t6 (= @t56 @t55))) % 44.53/44.73 (assume @p34 (forall @t45 (=> @t65 (= @t57 (tptp.join_commut @t1 @t41 @t2))))) % 44.53/44.73 (assume @p35 (forall @t6 (= @t67 @t66))) % 44.53/44.73 (assume @p36 (forall @t45 (=> @t71 (= @t68 (tptp.meet_commut @t1 @t41 @t2))))) % 44.53/44.73 (assume @p37 (forall @t45 (=> @t74 (= @t72 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 44.53/44.73 (assume @p38 (forall @t6 (=> @t76 (or @t75 (tptp.ordinal_subset @t2 @t1))))) % 44.53/44.73 (assume @p39 (forall @t6 (=> @t85 (= @t84 (forall @t82 (= @t81 (and @t79 @t78))))))) % 44.53/44.73 (assume @p40 (forall @t6 (= @t88 (and @t87 @t86)))) % 44.53/44.73 (assume @p41 (forall @t13 (=> @t40 (forall @t96 (=> @t42 (= (= @t41 @t95) (forall @t94 (= @t93 (and @t92 @t91))))))))) % 44.53/44.73 (assume @p42 (forall @t13 (=> @t104 (forall @t96 (= @t103 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t89 @t98) @t97 (= @t77 (tptp.apply @t1 @t89))))))))))) % 44.53/44.73 (assume @p43 (forall @t6 (=> @t85 (forall @t107 (=> @t42 (= (= @t41 @t106) (forall @t94 (= @t93 (and @t105 (tptp.in @t90 @t2)))))))))) % 44.53/44.73 (assume @p44 (forall @t13 (=> @t40 (= @t109 (tptp.is_antisymmetric_in @t1 @t108))))) % 44.53/44.73 (assume @p45 (forall @t13 (=> @t104 (forall @t96 (= @t112 (forall @t101 (= @t100 (and @t111 (tptp.in @t110 @t2))))))))) % 44.53/44.73 (assume @p46 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (forall @t107 (=> @t116 (= (= @t41 @t115) (forall @t101 (=> (tptp.in @t77 @t58) (= @t100 (forall @t99 (=> @t114 (not (and (tptp.open_subset @t89 @t1) (tptp.in @t77 @t89) (tptp.disjoint @t2 @t89)))))))))))))))) % 44.53/44.73 (assume @p47 (forall @t13 (=> @t40 (forall @t96 (= @t103 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t119 @t1) @t97))))))))) % 44.53/44.73 (assume @p48 (forall @t13 (=> @t40 (forall @t96 (= @t112 (forall @t101 (= @t100 (exists @t99 (and @t91 @t97))))))))) % 44.53/44.73 (assume @p49 (forall @t13 (=> @t40 (= @t120 (tptp.is_connected_in @t1 @t108))))) % 44.53/44.73 (assume @p50 (forall @t13 (=> @t40 (= @t121 (tptp.is_transitive_in @t1 @t108))))) % 44.53/44.73 (assume @p51 (forall @t123 (= (= @t77 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t99 (= @t122 (not (and (not (= @t89 @t1)) (not (= @t89 @t2)) (not (= @t89 @t41))))))))) % 44.53/44.73 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t85 @t126 (= @t125 @t1) (tptp.in @t124 tptp.omega)))))) % 44.53/44.73 (assume @p53 (forall @t13 (= @t36 (forall @t130 (=> (and @t129 @t127) @t78))))) % 44.53/44.73 (assume @p54 (forall @t45 (=> @t136 (and (=> (=> @t134 @t133) (= @t132 (= @t1 @t135))) (=> @t134 (or @t133 (= @t132 @t131))))))) % 44.53/44.73 (assume @p55 (forall @t13 (=> @t139 (forall @t11 (=> @t60 (forall @t107 (=> @t59 (= @t138 (tptp.apply_binary_as_element @t58 @t58 @t58 @t137 @t2 @t41))))))))) % 44.53/44.73 (assume @p56 (forall @t13 (=> @t142 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t82 (=> @t141 @t140))))))) % 44.53/44.73 (assume @p57 (forall @t13 (= @t144 (tptp.set_union2 @t1 @t143)))) % 44.53/44.73 (assume @p58 (forall @t13 (=> @t118 (= @t150 (and (tptp.in @t58 @t145) (forall @t11 (=> @t149 (=> (tptp.subset @t2 @t145) (tptp.in @t147 @t145)))) (forall @t11 (=> @t117 (forall @t107 (=> @t116 (=> (and @t146 (tptp.in @t41 @t145)) (tptp.in (tptp.subset_intersection2 @t58 @t2 @t41) @t145))))))))))) % 44.53/44.73 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t82 (not (= @t2 @t80))))))))) % 44.53/44.73 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t152 (forall @t107 (=> @t151 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 44.53/44.73 (assume @p61 (forall @t45 (= @t153 (tptp.subset @t41 @t43)))) % 44.53/44.73 (assume @p62 (forall @t6 (and (=> @t157 (= @t154 (forall @t107 (= @t151 (forall @t101 (=> @t156 @t155)))))) (=> @t133 (= @t154 @t134))))) % 44.53/44.73 (assume @p63 (forall @t13 (=> @t159 (= @t63 @t158)))) % 44.53/44.73 (assume @p64 (forall @t6 (= (= @t2 @t143) (forall @t107 (= @t151 (= @t41 @t1)))))) % 44.53/44.73 (assume @p65 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t161 (tptp.subset_complement @t58 (tptp.topstr_closure @t1 @t160)))))))) % 44.53/44.73 (assume @p66 (forall @t13 (=> @t118 (forall @t11 (=> @t149 (= @t163 (forall @t107 (=> @t116 (=> @t151 @t162))))))))) % 44.53/44.73 (assume @p67 (forall @t13 (=> @t40 (forall @t96 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t101 (= @t100 (and (not @t164) (tptp.in (tptp.ordered_pair @t77 @t2) @t1))))))))) % 44.53/44.73 (assume @p68 (forall @t6 (=> @t85 (= (= @t2 @t167) (and (= @t166 @t1) (forall @t82 (=> (and @t79 @t156) (= @t81 @t165)))))))) % 44.53/44.73 (assume @p69 (forall @t13 (= @t133 (forall @t11 @t4)))) % 44.53/44.73 (assume @p70 (forall @t6 (= (= @t2 @t24) (forall @t107 (= @t151 (tptp.subset @t41 @t1)))))) % 44.53/44.73 (assume @p71 (forall @t13 (= (tptp.centered @t1) (and @t157 (forall @t11 (not (and @t169 @t86 @t49 (= @t168 tptp.empty_set)))))))) % 44.53/44.73 (assume @p72 (forall @t13 (=> (and @t64 @t69) (forall @t11 (=> @t60 (forall @t107 (=> @t59 (= @t171 (tptp.apply_binary_as_element @t58 @t58 @t58 @t170 @t2 @t41))))))))) % 44.53/44.73 (assume @p73 (forall @t13 (=> @t142 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t82 (=> @t141 @t172))))))) % 44.53/44.73 (assume @p74 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t86))))) % 44.53/44.73 (assume @p75 (forall @t13 (=> @t159 (= @t173 tptp.empty_set)))) % 44.53/44.73 (assume @p76 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (= @t88 (forall @t82 (= @t174 @t81)))))))) % 44.53/44.73 (assume @p77 (forall @t6 (and (=> @t176 (= @t10 @t3)) (=> @t22 (= @t10 @t175))))) % 44.53/44.73 (assume @p78 (forall @t45 (= (= @t41 @t54) (forall @t101 (= @t100 (or (= @t77 @t1) @t164)))))) % 44.53/44.73 (assume @p79 (forall @t13 (=> @t118 (forall @t11 (=> @t149 (= @t178 @t177)))))) % 44.53/44.73 (assume @p80 (forall @t13 (=> @t40 (= @t179 (forall @t11 (not (and (tptp.subset @t2 @t108) @t169 (forall @t107 (not (and @t151 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 44.53/44.73 (assume @p81 (forall @t45 (= (= @t41 @t56) (forall @t101 (= @t100 (or @t156 @t92)))))) % 44.53/44.73 (assume @p82 (forall @t45 (= (= @t41 @t43) (forall @t101 (= @t100 (exists @t183 (and @t105 @t182 (= @t77 @t181)))))))) % 44.53/44.73 (assume @p83 (forall @t13 (=> @t118 (= @t187 (forall @t11 (=> @t149 (not (and @t186 @t163 (forall @t107 (=> @t185 (not (and @t184 (tptp.is_a_cover_of_carrier @t1 @t41) (tptp.finite @t41))))))))))))) % 44.53/44.73 (assume @p84 (forall @t13 (=> @t139 (forall @t11 (=> @t60 (forall @t107 (=> @t59 (= @t188 (= @t138 @t41))))))))) % 44.53/44.73 (assume @p85 (forall @t13 (= @t37 (forall @t96 (not (and @t3 @t79 (not @t191) @t190 @t189)))))) % 44.53/44.73 (assume @p86 (forall @t13 (=> @t159 (= @t192 @t58)))) % 44.53/44.73 (assume @p87 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (= @t87 (forall @t82 (=> @t174 @t81)))))))) % 44.53/44.73 (assume @p88 (forall @t6 (= @t87 @t193))) % 44.53/44.73 (assume @p89 (forall @t13 (=> @t40 (forall @t11 (= @t195 (forall @t107 (not (and @t184 @t194 (forall @t101 (not (and @t100 (tptp.disjoint (tptp.fiber @t1 @t77) @t41)))))))))))) % 44.53/44.73 (assume @p90 (forall @t45 (= (= @t41 @t67) (forall @t101 (= @t100 (and @t156 @t92)))))) % 44.53/44.73 (assume @p91 (forall @t13 (=> @t104 (forall @t96 (and (=> @t198 (= @t197 @t129)) (=> (not @t198) (= @t197 @t131))))))) % 44.53/44.73 (assume @p92 (forall @t13 (= @t32 @t39))) % 44.53/44.73 (assume @p93 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t98) (forall @t107 (= @t151 (exists @t101 @t174)))))))) % 44.53/44.73 (assume @p94 (forall @t13 (=> @t40 (forall @t11 (= @t200 (forall @t82 (=> (and @t151 @t92 @t174 @t199) @t78))))))) % 44.53/44.73 (assume @p95 (forall @t13 (= @t201 @t1))) % 44.53/44.73 (assume @p96 (forall @t6 (= (= @t2 @t202) (forall @t107 (= @t151 (exists @t101 (and @t155 @t156))))))) % 44.53/44.73 (assume @p97 (forall @t13 (=> @t40 (= @t204 (and @t203 @t121 @t109 @t120 @t179))))) % 44.53/44.73 (assume @p98 (forall @t6 (= @t210 (exists @t107 (and @t42 @t209 @t208 @t207 (= @t205 @t2)))))) % 44.53/44.73 (assume @p99 (forall @t45 (= (= @t41 @t212) (forall @t101 (= @t100 (and @t156 @t211)))))) % 44.53/44.73 (assume @p100 (forall @t13 (=> @t104 (forall @t11 (= @t215 (forall @t107 (= @t151 (exists @t101 @t213)))))))) % 44.53/44.73 (assume @p101 @t220) % 44.53/44.73 (assume @p102 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t221 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t87))))))) % 44.53/44.73 (assume @p103 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t222 @t146)))))) % 44.53/44.73 (assume @p104 (forall @t13 (=> @t40 (forall @t11 (= @t215 (forall @t107 (= @t151 (exists @t101 @t199)))))))) % 44.53/44.73 (assume @p105 (forall @t6 (=> @t25 (= @t223 @t212)))) % 44.53/44.73 (assume @p106 (forall @t6 (= @t224 (tptp.unordered_pair @t54 @t143)))) % 44.53/44.73 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t152 @t226 @t200 @t225 @t195)))))) % 44.53/44.73 (assume @p108 (forall @t13 (=> @t219 (= @t227 (tptp.is_antisymmetric_in @t216 @t58))))) % 44.53/44.73 (assume @p109 (forall @t13 (= @t221 (= @t1 @t202)))) % 44.53/44.73 (assume @p110 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t229 (tptp.open_subset @t228 @t1))))))) % 44.53/44.73 (assume @p111 (forall @t13 (=> @t40 (= @t108 (tptp.set_union2 @t98 @t214))))) % 44.53/44.73 (assume @p112 (forall @t13 (=> @t40 (forall @t11 (= @t225 (forall @t82 (not (and @t151 @t92 (not @t78) @t230 (not @t199))))))))) % 44.53/44.73 (assume @p113 (forall @t13 (=> @t40 (forall @t11 (= @t232 (tptp.set_intersection2 @t1 @t231)))))) % 44.53/44.73 (assume @p114 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (= (= @t2 @t233) (forall @t82 (= @t81 @t199)))))))) % 44.53/44.73 (assume @p115 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t237 (= @t236 (and (= @t206 @t108) (= @t205 @t166) @t208 (forall @t94 (= @t91 (and (tptp.in @t77 @t108) (tptp.in @t89 @t108) (tptp.in (tptp.ordered_pair @t235 @t234) @t2))))))))))))) % 44.53/44.73 (assume @p116 (forall @t6 (= @t238 (= @t67 tptp.empty_set)))) % 44.53/44.73 (assume @p117 (forall @t13 (=> @t104 (= @t50 (forall @t96 (=> (and @t198 (tptp.in @t41 @t98) (= @t196 (tptp.apply @t1 @t41))) @t140)))))) % 44.53/44.73 (assume @p118 (forall @t13 (=> (and @t64 @t240) (= @t239 (forall @t11 (=> @t60 (forall @t107 (=> @t59 (= (tptp.join @t1 @t171 @t41) @t41))))))))) % 44.53/44.73 (assume @p119 (forall @t13 (=> @t159 (forall @t11 (=> @t149 (= @t186 (= @t192 @t147))))))) % 44.53/44.73 (assume @p120 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t42 (= (= @t41 @t242) (forall @t94 (= @t93 (exists @t241 (and (tptp.in (tptp.ordered_pair @t77 @t180) @t1) (tptp.in (tptp.ordered_pair @t180 @t89) @t2))))))))))))) % 44.53/44.73 (assume @p121 @t251) % 44.53/44.73 (assume @p122 (forall @t6 (=> @t254 (forall @t107 (=> (tptp.element @t41 @t253) (= (= @t41 @t252) (forall @t101 (=> (tptp.element @t77 @t24) (= @t100 (tptp.in (tptp.subset_complement @t1 @t77) @t2)))))))))) % 44.53/44.73 (assume @p123 (forall @t6 (= @t8 (and @t87 @t255)))) % 44.53/44.73 (assume @p124 (forall @t13 (=> @t104 (=> @t50 (= @t256 @t233))))) % 44.53/44.73 (assume @p125 @t263) % 44.53/44.73 (assume @p126 (forall @t13 (=> @t40 (= @t203 (tptp.is_reflexive_in @t1 @t108))))) % 44.53/44.73 (assume @p127 true) % 44.53/44.73 (assume @p128 (forall @t45 (=> (and @t64 @t61 @t60 @t59) (tptp.element @t138 @t58)))) % 44.53/44.73 (assume @p129 (forall @t13 (=> @t159 (tptp.element @t173 @t113)))) % 44.53/44.73 (assume @p130 (forall @t6 (=> @t264 (tptp.element @t161 @t113)))) % 44.53/44.73 (assume @p131 (forall @t13 (tptp.relation @t167))) % 44.53/44.73 (assume @p132 (forall @t269 (=> @t268 (tptp.element @t265 @t41)))) % 44.53/44.73 (assume @p133 (forall @t13 (=> @t104 (and (tptp.relation @t256) (tptp.function @t256))))) % 44.53/44.73 (assume @p134 (forall @t45 (=> (and @t64 @t69 @t60 @t59) (tptp.element @t171 @t58)))) % 44.53/44.73 (assume @p135 (forall @t13 (=> @t159 (tptp.element @t192 @t113)))) % 44.53/44.73 (assume @p136 (forall @t13 (tptp.element @t201 @t24))) % 44.53/44.73 (assume @p137 (forall @t6 (=> @t40 (tptp.relation @t232)))) % 44.53/44.73 (assume @p138 (forall @t45 (=> @t65 (tptp.element @t57 @t58)))) % 44.53/44.73 (assume @p139 (forall @t6 (=> @t25 (tptp.element @t223 @t24)))) % 44.53/44.73 (assume @p140 (forall @t45 (=> @t71 (tptp.element @t68 @t58)))) % 44.53/44.73 (assume @p141 (forall @t13 (=> @t40 @t270))) % 44.53/44.73 (assume @p142 (forall @t45 (=> @t153 (tptp.element @t135 @t24)))) % 44.53/44.73 (assume @p143 (forall @t6 (=> @t272 @t271))) % 44.53/44.73 (assume @p144 (forall @t45 (=> @t153 (tptp.element @t274 @t273)))) % 44.53/44.73 (assume @p145 (forall @t6 (=> @t254 (tptp.element @t275 @t24)))) % 44.53/44.73 (assume @p146 (forall @t45 (=> @t74 (tptp.element @t72 @t24)))) % 44.53/44.73 (assume @p147 (forall @t6 (=> @t264 (tptp.element @t115 @t113)))) % 44.53/44.73 (assume @p148 (forall @t13 @t276)) % 44.53/44.73 (assume @p149 (forall @t6 (=> @t254 (tptp.element @t277 @t24)))) % 44.53/44.73 (assume @p150 (forall @t45 (=> @t74 (tptp.element @t278 @t24)))) % 44.53/44.73 (assume @p151 (forall @t6 (=> @t40 @t279))) % 44.53/44.73 (assume @p152 (forall @t6 (=> @t254 (tptp.element @t252 @t253)))) % 44.53/44.73 (assume @p153 (forall @t6 (=> @t85 @t280))) % 44.53/44.73 (assume @p154 (forall @t13 (=> @t69 @t159))) % 44.53/44.73 (assume @p155 (forall @t13 (=> @t219 @t159))) % 44.53/44.73 (assume @p156 (forall @t13 (=> @t118 @t159))) % 44.53/44.73 (assume @p157 (forall @t13 (=> @t61 @t159))) % 44.53/44.73 (assume @p158 (forall @t13 (=> @t240 (and @t69 @t61)))) % 44.53/44.73 (assume @p159 @t281) % 44.53/44.73 (assume @p160 (forall @t13 (=> @t69 (and (tptp.function @t170) (tptp.quasi_total @t170 @t282 @t58) (tptp.relation_of2_as_subset @t170 @t282 @t58))))) % 44.53/44.73 (assume @p161 @t284) % 44.53/44.73 (assume @p162 (forall @t13 (=> @t118 (tptp.element @t145 @t148)))) % 44.53/44.73 (assume @p163 (forall @t13 (=> @t61 (and (tptp.function @t137) (tptp.quasi_total @t137 @t282 @t58) (tptp.relation_of2_as_subset @t137 @t282 @t58))))) % 44.53/44.73 (assume @p164 (exists @t13 @t69)) % 44.53/44.73 (assume @p165 (exists @t13 @t219)) % 44.53/44.73 (assume @p166 (exists @t13 @t118)) % 44.53/44.73 (assume @p167 (exists @t13 @t159)) % 44.53/44.73 (assume @p168 (exists @t13 @t61)) % 44.53/44.73 (assume @p169 (exists @t13 @t240)) % 44.53/44.73 (assume @p170 (forall @t6 (exists @t107 @t153))) % 44.53/44.73 (assume @p171 (forall @t13 (exists @t11 @t10))) % 44.53/44.73 (assume @p172 (forall @t6 (exists @t107 @t136))) % 44.53/44.73 (assume @p173 (forall @t6 (=> @t49 @t285))) % 44.53/44.73 (assume @p174 (forall @t6 (=> @t287 (and (tptp.empty @t286) (tptp.relation @t286))))) % 44.53/44.73 (assume @p175 (forall @t6 (=> @t33 @t285))) % 44.53/44.73 (assume @p176 (forall @t13 (=> @t22 (and (tptp.empty @t233) @t270)))) % 44.53/44.73 (assume @p177 (forall @t6 (=> @t33 (tptp.finite @t212)))) % 44.53/44.73 (assume @p178 (and @t290 @t289 @t288)) % 44.53/44.73 (assume @p179 (forall @t6 (=> (and @t40 @t36 @t49) (tptp.finite @t102)))) % 44.53/44.73 (assume @p180 (forall @t6 (=> @t292 (and @t279 (tptp.relation_empty_yielding @t95))))) % 44.53/44.73 (assume @p181 (forall @t13 (and @t293 (tptp.finite @t143)))) % 44.53/44.73 (assume @p182 (forall @t13 (and @t294 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 44.53/44.73 (assume @p183 (forall @t6 (=> (and @t40 @t36 @t85 @t126) (and @t271 (tptp.function @t242))))) % 44.53/44.73 (assume @p184 (forall @t13 @t295)) % 44.53/44.73 (assume @p185 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 44.53/44.73 (assume @p186 (forall @t13 (=> @t159 (and (tptp.empty @t173) (tptp.v1_membered @t173) (tptp.v2_membered @t173) (tptp.v3_membered @t173) (tptp.v4_membered @t173) (tptp.v5_membered @t173))))) % 44.53/44.73 (assume @p187 (forall @t6 (=> @t272 (tptp.relation @t67)))) % 44.53/44.73 (assume @p188 (forall @t13 (=> @t296 (not @t158)))) % 44.53/44.73 (assume @p189 (forall @t13 @t294)) % 44.53/44.73 (assume @p190 @t290) % 44.53/44.73 (assume @p191 (forall @t6 (not (tptp.empty @t224)))) % 44.53/44.73 (assume @p192 (forall @t6 (=> @t12 @t297))) % 44.53/44.73 (assume @p193 (forall @t6 (=> @t12 @t298))) % 44.53/44.73 (assume @p194 (forall @t6 (=> @t15 (and @t297 @t299)))) % 44.53/44.73 (assume @p195 (forall @t13 (=> (and @t32 @t47) (and @t295 @t302 @t301 @t300 (tptp.natural @t144))))) % 44.53/44.73 (assume @p196 (forall @t13 (and @t276 (tptp.function @t83)))) % 44.53/44.73 (assume @p197 (and @t289 @t288 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t290 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 44.53/44.73 (assume @p198 (forall @t13 (=> @t296 (not (tptp.empty @t192))))) % 44.53/44.73 (assume @p199 (forall @t6 (=> @t272 (tptp.relation @t56)))) % 44.53/44.73 (assume @p200 (forall @t13 @t293)) % 44.53/44.73 (assume @p201 (forall @t6 (=> @t303 (tptp.closed_subset @t115 @t1)))) % 44.53/44.73 (assume @p202 (forall @t6 (=> @t176 (not (tptp.empty @t56))))) % 44.53/44.73 (assume @p203 (forall @t6 (=> @t15 (and @t298 @t304)))) % 44.53/44.73 (assume @p204 (forall @t6 (=> @t17 (and @t297 @t299 @t305)))) % 44.53/44.73 (assume @p205 (forall @t6 (=> @t17 (and @t298 @t304 @t306)))) % 44.53/44.73 (assume @p206 (forall @t6 (=> @t19 (and @t297 @t299 @t305 @t307)))) % 44.53/44.73 (assume @p207 (forall @t6 (=> @t19 (and @t298 @t304 @t306 @t308)))) % 44.53/44.73 (assume @p208 (forall @t6 (=> @t21 (and @t297 @t299 @t305 @t307 (tptp.v5_membered @t67))))) % 44.53/44.73 (assume @p209 (forall @t6 (=> @t21 (and @t298 @t304 @t306 @t308 (tptp.v5_membered @t66))))) % 44.53/44.73 (assume @p210 (forall @t6 (=> @t12 @t309))) % 44.53/44.73 (assume @p211 (forall @t6 (=> @t15 (and @t309 @t310)))) % 44.53/44.73 (assume @p212 (forall @t6 (=> @t17 (and @t309 @t310 @t311)))) % 44.53/44.73 (assume @p213 (forall @t13 (=> @t51 (and @t270 (tptp.function @t233))))) % 44.53/44.73 (assume @p214 (forall @t13 (=> @t32 (and @t295 @t302 @t301 @t300)))) % 44.53/44.73 (assume @p215 (forall @t6 (=> @t272 (tptp.relation @t212)))) % 44.53/44.73 (assume @p216 (forall @t6 (not (tptp.empty @t54)))) % 44.53/44.73 (assume @p217 (forall @t6 (=> (and @t150 @t118 @t229 @t117) @t312))) % 44.53/44.73 (assume @p218 (forall @t6 (=> @t176 (not (tptp.empty @t55))))) % 44.53/44.73 (assume @p219 (forall @t6 (=> @t19 (and @t309 @t310 @t311 @t313)))) % 44.53/44.73 (assume @p220 (forall @t6 (=> @t21 (and @t309 @t310 @t311 @t313 (tptp.v5_membered @t212))))) % 44.53/44.73 (assume @p221 (forall @t6 (=> @t104 (and @t279 (tptp.function @t95))))) % 44.53/44.73 (assume @p222 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t202) (tptp.epsilon_connected @t202) (tptp.ordinal @t202))))) % 44.53/44.73 (assume @p223 (and @t290 @t289)) % 44.53/44.73 (assume @p224 (forall @t6 (=> (and @t176 @t267) (not (tptp.empty @t43))))) % 44.53/44.73 (assume @p225 (forall @t6 (=> (and @t150 @t118 @t222 @t117) @t314))) % 44.53/44.73 (assume @p226 (forall @t6 (=> @t315 (and @t280 (tptp.function @t106))))) % 44.53/44.73 (assume @p227 (forall @t13 (=> @t316 (tptp.closed_subset @t192 @t1)))) % 44.53/44.73 (assume @p228 (forall @t13 (=> @t318 (not @t317)))) % 44.53/44.73 (assume @p229 (and @t290 (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))) % 44.53/44.73 (assume @p230 (forall @t13 (=> @t318 (not @t319)))) % 44.53/44.73 (assume @p231 (forall @t6 (=> @t303 @t320))) % 44.53/44.73 (assume @p232 (forall @t13 (=> @t22 (and @t317 (tptp.relation @t98))))) % 44.53/44.73 (assume @p233 (forall @t13 (=> @t22 (and @t319 (tptp.relation @t214))))) % 44.53/44.73 (assume @p234 (forall @t6 (=> (and @t33 @t49) (tptp.finite @t56)))) % 44.53/44.73 (assume @p235 (forall @t6 (=> @t287 (and (tptp.empty @t242) @t271)))) % 44.53/44.73 (assume @p236 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 44.53/44.73 (assume @p237 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 44.53/44.73 (assume @p238 (forall @t45 (=> @t74 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 44.53/44.73 (assume @p239 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t223) @t2)))) % 44.53/44.73 (assume @p240 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t233) @t1)))) % 44.53/44.73 (assume @p241 (forall @t6 (=> @t254 (= (tptp.complements_of_subsets @t1 @t252) @t2)))) % 44.53/44.73 (assume @p242 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 44.53/44.73 (assume @p243 (forall @t13 (=> @t40 (= @t203 (forall @t11 (=> @t321 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 44.53/44.73 (assume @p244 (forall @t13 (not (= @t143 tptp.empty_set)))) % 44.53/44.73 (assume @p245 (forall @t6 (=> @t5 (= (tptp.set_union2 @t143 @t2) @t2)))) % 44.53/44.73 (assume @p246 (forall @t6 (not (and @t322 @t5)))) % 44.53/44.73 (assume @p247 (forall @t6 (=> @t323 @t322))) % 44.53/44.73 (assume @p248 (forall @t6 (=> @t85 (tptp.subset (tptp.relation_dom @t106) @t124)))) % 44.53/44.73 (assume @p249 (forall @t13 (=> @t40 (= @t121 (forall @t130 (=> (and @t129 @t174) @t127)))))) % 44.53/44.73 (assume @p250 (forall @t6 (= (tptp.subset @t143 @t2) @t5))) % 44.53/44.73 (assume @p251 (forall @t6 (=> @t85 (not (and @t324 (tptp.equipotent @t1 @t166) (forall @t107 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 44.53/44.73 (assume @p252 (forall @t6 (= (= @t212 tptp.empty_set) @t87))) % 44.53/44.73 (assume @p253 @t327) % 44.53/44.73 (assume @p254 (forall @t13 (=> @t40 (= @t109 (forall @t96 (=> (and @t129 @t328) @t140)))))) % 44.53/44.73 (assume @p255 (forall @t45 (=> @t87 (or @t79 (tptp.subset @t1 (tptp.set_difference @t2 @t329)))))) % 44.53/44.73 (assume @p256 (forall @t13 (=> @t296 (forall @t11 (=> @t117 (forall @t107 (=> @t59 (= (tptp.in @t41 @t160) @t189)))))))) % 44.53/44.73 (assume @p257 (forall @t13 (=> @t40 (= @t120 (forall @t96 (not (and @t321 (tptp.in @t41 @t108) @t190 @t330 (not @t328)))))))) % 44.53/44.73 (assume @p258 (forall @t6 (= (tptp.subset @t1 @t331) (or @t133 (= @t1 @t331))))) % 44.53/44.73 (assume @p259 (forall @t6 (=> @t5 (tptp.subset @t1 @t332)))) % 44.53/44.73 (assume @p260 (forall @t123 (= (tptp.in @t224 (tptp.cartesian_product2 @t41 @t77)) (and @t333 (tptp.in @t2 @t77))))) % 44.53/44.73 (assume @p261 (forall @t6 (=> @t193 @t334))) % 44.53/44.73 (assume @p262 (forall @t45 (=> @t237 (= @t336 (and (tptp.in @t2 @t206) @t3))))) % 44.53/44.73 (assume @p263 (exists @t13 (and @t176 @t38 @t37 @t32 @t47))) % 44.53/44.73 (assume @p264 (exists @t13 (and @t176 @t33))) % 44.53/44.73 (assume @p265 (exists @t13 @t104)) % 44.53/44.73 (assume @p266 (forall @t6 (exists @t107 (and @t153 @t42 @t209 @t132)))) % 44.53/44.73 (assume @p267 (exists @t13 (and @t176 @t12 @t15 @t17 @t19 @t21))) % 44.53/44.73 (assume @p268 (exists @t13 @t53)) % 44.53/44.73 (assume @p269 (exists @t13 (and @t38 @t37 @t32 @t221))) % 44.53/44.73 (assume @p270 (exists @t13 (and @t40 @t36 @t50 @t22))) % 44.53/44.73 (assume @p271 (exists @t13 (and @t22 @t40))) % 44.53/44.73 (assume @p272 (forall @t13 (=> @t176 (exists @t11 (and @t25 @t267))))) % 44.53/44.73 (assume @p273 (forall @t13 (=> @t316 (exists @t11 (and @t117 @t222))))) % 44.53/44.73 (assume @p274 (exists @t13 @t22)) % 44.53/44.73 (assume @p275 (forall @t13 (exists @t11 (and @t25 @t175 @t85 @t126 @t337 @t31 @t30 @t29 @t20 @t49)))) % 44.53/44.73 (assume @p276 (exists @t13 @t52)) % 44.53/44.73 (assume @p277 (exists @t13 (and @t40 @t36 @t50 @t22 @t38 @t37 @t32))) % 44.53/44.73 (assume @p278 (forall @t6 (exists @t107 (and @t153 @t42 @t209)))) % 44.53/44.73 (assume @p279 (exists @t13 @t318)) % 44.53/44.73 (assume @p280 (forall @t13 (exists @t11 (and @t25 @t175)))) % 44.53/44.73 (assume @p281 (forall @t13 (=> @t316 (exists @t11 (and @t117 @t222 @t229))))) % 44.53/44.73 (assume @p282 (exists @t13 @t176)) % 44.53/44.73 (assume @p283 (forall @t13 (=> @t176 (exists @t11 (and @t25 @t267 @t49))))) % 44.53/44.73 (assume @p284 (exists @t13 @t51)) % 44.53/44.73 (assume @p285 (exists @t13 (and @t176 @t38 @t37 @t32))) % 44.53/44.73 (assume @p286 (exists @t13 @t292)) % 44.53/44.73 (assume @p287 (exists @t13 (and @t159 @t64))) % 44.53/44.73 (assume @p288 (exists @t13 (and @t40 @t291 @t36))) % 44.53/44.73 (assume @p289 (forall @t13 (=> @t296 (exists @t11 (and @t117 @t267))))) % 44.53/44.73 (assume @p290 (forall @t13 (=> @t316 (exists @t11 (and @t117 @t229))))) % 44.53/44.73 (assume @p291 (forall @t13 (=> @t338 (exists @t11 (and @t117 @t267 @t229))))) % 44.53/44.73 (assume @p292 (forall @t269 (=> @t268 (= @t265 (tptp.apply_binary @t77 @t89 @t180))))) % 44.53/44.73 (assume @p293 (forall @t45 (=> @t65 (= @t57 @t138)))) % 44.53/44.73 (assume @p294 (forall @t45 (=> @t71 (= @t68 @t171)))) % 44.53/44.73 (assume @p295 (forall @t45 (=> @t153 (= @t135 @t206)))) % 44.53/44.73 (assume @p296 (forall @t45 (=> @t153 (= @t274 @t205)))) % 44.53/44.73 (assume @p297 (forall @t6 (=> @t254 (= @t275 @t332)))) % 44.53/44.73 (assume @p298 (forall @t45 (=> @t74 (= @t72 @t339)))) % 44.53/44.73 (assume @p299 (forall @t6 (=> @t254 (= @t277 @t168)))) % 44.53/44.73 (assume @p300 (forall @t45 (=> @t74 (= @t278 @t340)))) % 44.53/44.73 (assume @p301 (forall @t45 (= @t136 @t153))) % 44.53/44.73 (assume @p302 (forall @t6 (=> @t76 (= @t75 @t87)))) % 44.53/44.73 (assume @p303 (forall @t6 (= @t210 (tptp.are_equipotent @t1 @t2)))) % 44.53/44.73 (assume @p304 (forall @t6 (=> @t76 (tptp.ordinal_subset @t1 @t1)))) % 44.53/44.73 (assume @p305 (forall @t6 (tptp.subset @t1 @t1))) % 44.53/44.73 (assume @p306 (forall @t6 (tptp.equipotent @t1 @t1))) % 44.53/44.73 (assume @p307 (forall @t6 (=> @t358 (=> @t357 (exists @t107 (and @t42 @t209 (forall @t94 (= @t93 (and @t156 @t156 (exists @t345 (and (= @t77 @t342) (tptp.in @t89 @t342) (forall @t344 (=> @t343 (tptp.in (tptp.ordered_pair @t89 @t341) @t2)))))))))))))) % 44.53/44.73 (assume @p308 (forall @t13 (=> @t361 (exists @t11 (and @t85 @t126 (forall @t82 (= @t81 (and @t79 @t79 (= @t77 @t329))))))))) % 44.53/44.73 (assume @p309 (forall @t6 (=> @t374 (=> @t373 (exists @t107 (and @t42 @t209 (forall @t94 (= @t93 (and @t367 @t367 @t365))))))))) % 44.53/44.73 (assume @p310 (forall @t6 (=> @t374 (=> @t375 (exists @t107 (and @t42 @t209 (forall @t94 (= @t93 (and @t92 @t92 @t365))))))))) % 44.53/44.73 (assume @p311 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t107 (=> @t376 (=> @t79 (tptp.ordinal_subset @t2 @t41))))))))) % 44.53/44.73 (assume @p312 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t400)) (not (and @t157 (forall @t11 (not (and @t3 (forall @t107 (=> (and @t79 @t399) (= @t41 @t2))))))))))) (forall @t101 (=> @t383 (=> @t398 (=> (tptp.in @t397 tptp.omega) (forall @t351 (=> (tptp.element @t348 (tptp.powerset (tptp.powerset @t397))) (not (and (not (= @t348 tptp.empty_set)) (forall @t350 (not (and @t349 (forall @t345 (=> (and (tptp.in @t342 @t348) (tptp.subset @t347 @t342)) (= @t342 @t347)))))))))))))) (forall @t101 (=> @t383 (=> (and (tptp.being_limit_ordinal @t77) (forall @t344 (=> (tptp.ordinal @t341) (=> (tptp.in @t341 @t77) (=> (tptp.in @t341 tptp.omega) (forall @t396 (=> (tptp.element @t392 (tptp.powerset (tptp.powerset @t341))) (not (and (not (= @t392 tptp.empty_set)) (forall @t395 (not (and @t394 (forall @t393 (=> (and (tptp.in @t391 @t392) (tptp.subset @t390 @t391)) (= @t391 @t390))))))))))))))) (or (= @t77 tptp.empty_set) (=> @t382 (forall @t389 (=> (tptp.element @t386 @t380) (not (and (not (= @t386 tptp.empty_set)) (forall @t388 (not (and (tptp.in @t384 @t386) (forall @t387 (=> (and (tptp.in @t385 @t386) (tptp.subset @t384 @t385)) (= @t385 @t384)))))))))))))))) (forall @t101 (=> @t383 (=> @t382 (forall @t381 (=> (tptp.element @t379 @t380) (not (and (not (= @t379 tptp.empty_set)) (forall (@list @t377) (not (and (tptp.in @t377 @t379) (forall (@list @t378) (=> (and (tptp.in @t378 @t379) (tptp.subset @t377 @t378)) (= @t378 @t377))))))))))))))) % 44.53/44.73 (assume @p313 (forall @t45 (=> @t404 (exists @t101 (and @t403 (forall @t183 (= (tptp.in @t181 @t77) (and @t105 @t402 (tptp.in (tptp.ordered_pair @t234 @t401) @t2))))))))) % 44.53/44.73 (assume @p314 (forall @t6 (=> @t358 (=> @t357 (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t105 @t105 (exists @t345 (and (= @t89 @t342) @t406 @t405))))))))))) % 44.53/44.73 (assume @p315 (forall @t6 (=> @t358 (forall @t107 (=> (forall @t418 (=> (and @t346 (exists @t417 (and @t416 @t414 (exists @t350 (and (= @t353 @t347) (tptp.in @t348 @t347) (forall @t345 (=> @t413 (tptp.in (tptp.ordered_pair @t348 @t342) @t2))))))) @t412 (exists @t411 (and (= @t410 @t180) (tptp.in @t341 @t1) (exists @t395 (and (= @t341 @t390) (tptp.in @t392 @t390) (forall @t393 (=> (tptp.in @t391 @t390) (tptp.in (tptp.ordered_pair @t392 @t391) @t2)))))))) @t409)) (exists @t101 (forall @t99 (= @t122 (exists @t241 (and (tptp.in @t180 @t408) @t407 (exists (@list @t386 @t384) (and (= (tptp.ordered_pair @t386 @t384) @t89) (tptp.in @t386 @t1) (exists @t387 (and (= @t386 @t385) (tptp.in @t384 @t385) (forall @t381 (=> (tptp.in @t379 @t385) (tptp.in (tptp.ordered_pair @t384 @t379) @t2))))))))))))))))) % 44.53/44.73 (assume @p316 (forall @t13 (=> @t361 (exists @t11 (forall @t107 (= @t151 (exists @t101 (and @t156 @t156 (= @t41 (tptp.singleton @t77)))))))))) % 44.53/44.73 (assume @p317 (forall @t6 (=> (forall @t246 (=> (and @t78 (exists @t425 (and (= @t424 @t77) @t402 (= @t353 (tptp.singleton @t180)))) @t423 (exists (@list @t348 @t347) (and (= (tptp.ordered_pair @t348 @t347) @t89) @t422 (= @t347 (tptp.singleton @t348))))) @t346)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t89 @t43) @t421 (exists @t420 (and (= @t419 @t77) (tptp.in @t342 @t1) (= @t341 (tptp.singleton @t342)))))))))))) % 44.53/44.73 (assume @p318 (forall @t13 (=> @t32 (=> (forall @t130 (=> (and @t140 (exists @t99 (and @t428 @t423 (=> (tptp.in @t89 tptp.omega) (forall @t241 (=> (tptp.element @t180 (tptp.powerset (tptp.powerset @t89))) @t427))))) @t172 (exists @t350 (and (tptp.ordinal @t347) (= @t77 @t347) (=> (tptp.in @t347 tptp.omega) (forall @t345 (=> (tptp.element @t342 (tptp.powerset (tptp.powerset @t347))) (not (and (not (= @t342 tptp.empty_set)) (forall @t344 (not (and @t343 (forall @t396 (=> (and (tptp.in @t392 @t342) (tptp.subset @t341 @t392)) (= @t392 @t341)))))))))))))) @t78)) (exists @t11 (forall @t107 (= @t151 (exists @t101 (and (tptp.in @t77 @t144) @t426 (exists @t395 (and (tptp.ordinal @t390) (= @t41 @t390) (=> (tptp.in @t390 tptp.omega) (forall @t393 (=> (tptp.element @t391 (tptp.powerset (tptp.powerset @t390))) (not (and (not (= @t391 tptp.empty_set)) (forall @t389 (not (and (tptp.in @t386 @t391) (forall @t388 (=> (and (tptp.in @t384 @t391) (tptp.subset @t386 @t384)) (= @t384 @t386)))))))))))))))))))))) % 44.53/44.73 (assume @p319 (forall @t6 (=> @t303 (=> (forall @t246 (=> (and @t78 (exists @t241 (and @t371 (= @t180 @t77) (tptp.closed_subset @t180 @t1) @t429)) @t423 (exists @t355 (and @t368 (= @t353 @t89) (tptp.closed_subset @t353 @t1) (tptp.subset @t2 @t89)))) @t346)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t430 @t421 (exists @t351 (and @t364 @t363 (tptp.closed_subset @t348 @t1) @t429))))))))))) % 44.53/44.73 (assume @p320 (forall @t6 (=> @t432 (=> (forall @t246 (=> (and @t78 @t431 @t423 (tptp.in (tptp.set_difference @t192 @t89) @t2)) @t346)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t430 @t421 @t431))))))))) % 44.53/44.73 (assume @p321 (forall @t6 (=> @t434 (=> (forall @t246 (=> (and @t78 (exists @t241 (and @t182 (= @t77 (tptp.set_difference @t180 @t143)))) @t423 (exists @t355 (and @t433 (= @t89 (tptp.set_difference @t353 @t143))))) @t346)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t89 @t24) @t421 (exists @t351 (and (tptp.in @t348 @t2) (= @t77 (tptp.set_difference @t348 @t143))))))))))))) % 44.53/44.73 (assume @p322 (forall @t6 (=> @t374 (=> @t373 (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t437 @t437 @t436))))))))) % 44.53/44.73 (assume @p323 (forall @t6 (=> @t374 (forall @t107 (=> (forall @t418 (=> (and @t346 (exists @t417 (and @t416 (tptp.in @t353 @t366) @t446)) @t412 (exists @t420 (and @t443 (tptp.in @t342 @t366) @t442))) @t409)) (exists @t101 (forall @t99 (= @t122 (exists @t241 (and (tptp.in @t180 @t441) @t407 (exists @t440 (and @t439 (tptp.in @t390 @t366) @t438)))))))))))) % 44.53/44.73 (assume @p324 (forall @t6 (=> @t374 (=> @t375 (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t97 @t97 @t436))))))))) % 44.53/44.73 (assume @p325 (forall @t6 (=> @t374 (forall @t107 (=> (forall @t418 (=> (and @t346 (exists @t417 (and @t416 @t433 @t446)) @t412 (exists @t420 (and @t443 (tptp.in @t342 @t2) @t442))) @t409)) (exists @t101 (forall @t99 (= @t122 (exists @t241 (and (tptp.in @t180 @t447) @t407 (exists @t440 (and @t439 (tptp.in @t390 @t2) @t438)))))))))))) % 44.53/44.73 (assume @p326 (forall @t45 (=> @t404 (=> (forall @t418 (=> (and @t346 (exists @t417 (and (= @t89 @t415) (tptp.in (tptp.ordered_pair @t449 (tptp.apply @t41 @t348)) @t2))) @t412 (exists (@list @t347 @t342) (and (= @t180 (tptp.ordered_pair @t347 @t342)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t347) (tptp.apply @t41 @t342)) @t2)))) @t409)) (exists @t101 (forall @t99 (= @t122 (exists @t241 (and (tptp.in @t180 @t448) @t407 (exists @t411 (and (= @t89 @t410) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t341) (tptp.apply @t41 @t392)) @t2)))))))))))) % 44.53/44.73 (assume @p327 (forall @t13 (=> (forall @t130 (=> (and @t140 @t376 @t172 @t383) @t78)) (exists @t11 (forall @t107 (= @t151 (exists @t101 (and @t156 @t426 @t376)))))))) % 44.53/44.73 (assume @p328 (forall @t45 (=> @t452 (=> (forall @t418 (=> (and @t346 @t450 @t412 (tptp.in (tptp.relation_image @t41 @t180) @t2)) @t409)) (exists @t101 (forall @t99 (= @t122 (exists @t241 (and (tptp.in @t180 @t451) @t407 @t450))))))))) % 44.53/44.73 (assume @p329 (forall @t6 (=> @t29 (=> (forall @t246 (=> (and @t78 (exists @t241 (and (tptp.ordinal @t180) @t412 @t402)) @t423 (exists @t355 (and (tptp.ordinal @t353) (= @t89 @t353) @t414))) @t346)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t89 @t453) @t421 (exists @t351 (and (tptp.ordinal @t348) (= @t77 @t348) @t422))))))))))) % 44.53/44.73 (assume @p330 (forall @t6 (=> @t358 (forall @t107 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t408) (exists @t425 (and @t454 @t402 (exists @t351 (and (= @t180 @t348) (tptp.in @t353 @t348) (forall @t350 (=> @t349 (tptp.in (tptp.ordered_pair @t353 @t347) @t2))))))))))))))) % 44.53/44.73 (assume @p331 (forall @t6 (exists @t107 (forall @t101 (= @t100 (and (tptp.in @t77 @t43) (exists @t183 (and (= @t181 @t77) @t105 (= @t180 (tptp.singleton @t89)))))))))) % 44.53/44.73 (assume @p332 (forall @t13 (=> @t32 (exists @t11 (forall @t107 (= @t151 (and (tptp.in @t41 @t144) (exists @t101 (and @t383 @t78 @t398))))))))) % 44.53/44.73 (assume @p333 (forall @t6 (=> @t303 (exists @t107 (forall @t101 (= @t100 (and @t456 @t455))))))) % 44.53/44.73 (assume @p334 (forall @t6 (=> @t432 (exists @t107 (forall @t101 (= @t100 (and @t456 @t431))))))) % 44.53/44.73 (assume @p335 (forall @t6 (=> @t434 (exists @t107 (forall @t101 (= @t100 (and (tptp.in @t77 @t24) (exists @t99 (and @t97 (= @t77 (tptp.set_difference @t89 @t143))))))))))) % 44.53/44.73 (assume @p336 (forall @t6 (=> @t374 (forall @t107 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t441) (exists @t425 (and @t454 (tptp.in @t180 @t366) @t457)))))))))) % 44.53/44.73 (assume @p337 (forall @t6 (=> @t374 (forall @t107 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t447) (exists @t425 (and @t454 @t182 @t457)))))))))) % 44.53/44.73 (assume @p338 (forall @t45 (=> @t404 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t448) (exists @t425 (and (= @t89 @t424) (tptp.in (tptp.ordered_pair @t401 @t449) @t2)))))))))) % 44.53/44.73 (assume @p339 (forall @t13 (exists @t11 (forall @t107 (= @t151 (and @t79 @t376)))))) % 44.53/44.73 (assume @p340 (forall @t45 (=> @t452 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t451) @t450))))))) % 44.53/44.73 (assume @p341 (forall @t6 (=> @t29 (exists @t107 (forall @t101 (= @t100 (and (tptp.in @t77 @t453) (exists @t99 (and @t428 @t346 @t105))))))))) % 44.53/44.73 (assume @p342 (forall @t6 (=> @t358 (=> (and (forall @t246 (=> (and @t79 @t356 @t352) @t346)) (forall @t107 (not (and @t79 (forall @t101 (not (exists @t345 (and (= @t41 @t342) @t406 @t405)))))))) (exists @t107 (and @t42 @t209 @t207 (forall @t101 (=> @t156 (exists @t396 (and (= @t77 @t392) (tptp.in @t235 @t392) (forall @t395 (=> @t394 (tptp.in (tptp.ordered_pair @t235 @t390) @t2))))))))))))) % 44.53/44.73 (assume @p343 (forall @t13 (=> (and (forall @t130 (=> (and @t3 @t360 @t359) @t78)) (forall @t11 (not (and @t3 (forall @t107 (not @t360)))))) @t460))) % 44.53/44.73 (assume @p344 (forall @t6 (=> @t374 (=> (and (forall @t246 (=> (and @t370 @t372 @t369) @t346)) (forall @t107 (not (and @t370 @t462)))) (exists @t107 (and @t42 @t209 (= @t206 @t366) (forall @t101 (=> @t367 @t461)))))))) % 44.53/44.73 (assume @p345 (forall @t6 (=> @t374 (=> (and (forall @t246 (=> (and @t151 @t372 @t369) @t346)) (forall @t107 (not (and @t151 @t462)))) (exists @t107 (and @t42 @t209 (= @t206 @t2) (forall @t101 (=> @t92 @t461)))))))) % 44.53/44.73 (assume @p346 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t107 (=> (tptp.element @t41 (tptp.powerset @t273)) (not (and @t194 (forall @t101 (not (and @t100 (forall @t99 (=> (and (tptp.in @t89 @t41) (tptp.subset @t77 @t89)) @t421))))))))))))) (=> @t463 (forall @t241 (=> (tptp.element @t180 @t253) @t427)))))) (forall @t13 (=> @t32 (=> @t463 (forall @t350 (=> (tptp.element @t347 @t253) (not (and (not (= @t347 tptp.empty_set)) (forall @t345 (not (and @t413 (forall @t344 (=> (and (tptp.in @t341 @t347) (tptp.subset @t342 @t341)) (= @t341 @t342))))))))))))))) % 44.53/44.73 (assume @p347 (forall @t13 @t460)) % 44.53/44.73 (assume @p348 (forall @t6 (=> @t303 (exists @t107 (and @t185 (forall @t101 (=> @t464 (= @t100 @t455)))))))) % 44.53/44.73 (assume @p349 (forall @t6 (=> @t432 (exists @t107 (and @t185 (forall @t101 (=> @t464 (= @t100 @t431)))))))) % 44.53/44.73 (assume @p350 (forall @t6 (=> @t238 (tptp.disjoint @t2 @t1)))) % 44.53/44.73 (assume @p351 (forall @t6 (=> @t210 (tptp.equipotent @t2 @t1)))) % 44.53/44.73 (assume @p352 (forall @t13 (tptp.in @t1 @t144))) % 44.53/44.73 (assume @p353 (forall @t6 (=> @t254 (and @t466 (not (and (not @t465) @t134)))))) % 44.53/44.73 (assume @p354 (forall @t123 (not (and (= @t54 (tptp.unordered_pair @t41 @t77)) (not @t467) (not (= @t1 @t77)))))) % 44.53/44.73 (assume @p355 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t205)))))) % 44.53/44.73 (assume @p356 (forall @t6 (=> @t85 (tptp.subset @t468 @t1)))) % 44.53/44.73 (assume @p357 (forall @t6 (=> @t85 (tptp.subset @t106 @t2)))) % 44.53/44.73 (assume @p358 (forall @t6 (=> @t85 (tptp.subset @t468 @t125)))) % 44.53/44.73 (assume @p359 (forall @t45 (=> @t87 (and (tptp.subset @t408 @t447) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 44.53/44.73 (assume @p360 (forall @t6 (=> @t85 (= @t468 (tptp.set_intersection2 @t125 @t1))))) % 44.53/44.73 (assume @p361 (forall @t123 (=> (and @t87 @t165) (tptp.subset @t408 (tptp.cartesian_product2 @t2 @t77))))) % 44.53/44.73 (assume @p362 (forall @t6 (=> @t254 (=> @t169 (= @t469 (tptp.subset_complement @t1 @t275)))))) % 44.53/44.73 (assume @p363 (forall @t45 (=> @t136 (and (tptp.subset @t206 @t1) (tptp.subset @t205 @t2))))) % 44.53/44.73 (assume @p364 (forall @t6 (=> @t254 (=> @t169 (= @t470 (tptp.subset_complement @t1 @t277)))))) % 44.53/44.73 (assume @p365 (forall @t6 (=> @t87 (= @t56 @t2)))) % 44.53/44.73 (assume @p366 (forall @t13 (exists @t11 (and @t5 @t473 (forall @t107 (=> @t151 (tptp.in @t472 @t2))) @t471)))) % 44.53/44.73 (assume @p367 (forall @t13 (=> @t338 (= @t187 (forall @t11 (=> @t149 (not (and (tptp.centered @t2) @t178 (= @t474 tptp.empty_set))))))))) % 44.53/44.73 (assume @p368 (forall @t6 (=> (and @t87 @t49) @t33))) % 44.53/44.73 (assume @p369 (forall @t13 (=> @t159 (forall @t11 (=> @t149 (= (tptp.finite @t366) @t49)))))) % 44.53/44.73 (assume @p370 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t475))))) % 44.53/44.73 (assume @p371 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t101 (and (tptp.in @t77 @t206) (tptp.in (tptp.ordered_pair @t77 @t1) @t41) @t92)))))) % 44.53/44.73 (assume @p372 (forall @t6 (=> @t85 (tptp.subset @t476 @t125)))) % 44.53/44.73 (assume @p373 (forall @t6 (=> @t315 (tptp.subset @t478 @t1)))) % 44.53/44.73 (assume @p374 (forall @t6 (=> @t85 (= @t476 (tptp.relation_image @t2 @t479))))) % 44.53/44.73 (assume @p375 (forall @t6 (=> @t85 (=> (tptp.subset @t1 @t124) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t476)))))) % 44.53/44.73 (assume @p376 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t98) @t214)))) % 44.53/44.73 (assume @p377 (forall @t6 (=> @t315 (=> @t480 (= @t478 @t1))))) % 44.53/44.73 (assume @p378 (forall @t123 (=> @t483 (=> (tptp.subset @t482 @t2) @t481)))) % 44.53/44.73 (assume @p379 (forall @t13 (=> @t159 (forall @t11 (=> @t117 (= (tptp.subset_intersection2 @t58 @t2 @t192) @t2)))))) % 44.53/44.73 (assume @p380 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (= @t484 (tptp.relation_image @t2 @t214))))))) % 44.53/44.73 (assume @p381 (forall @t45 (=> @t42 (= (tptp.in @t1 @t485) (exists @t101 (and (tptp.in @t77 @t205) (tptp.in (tptp.ordered_pair @t1 @t77) @t41) @t92)))))) % 44.53/44.73 (assume @p382 (forall @t6 (=> @t85 (tptp.subset @t477 @t124)))) % 44.53/44.73 (assume @p383 (forall @t123 (=> @t483 (=> @t87 @t481)))) % 44.53/44.73 (assume @p384 (forall @t13 (=> @t118 (forall @t11 (=> @t149 (= @t178 (tptp.open_subsets @t366 @t1))))))) % 44.53/44.73 (assume @p385 (forall @t45 (=> @t42 (= (tptp.in @t1 @t486) (and @t333 (tptp.in @t1 @t231)))))) % 44.53/44.73 (assume @p386 (forall @t6 (=> @t85 (not (and @t157 @t480 (= @t477 tptp.empty_set)))))) % 44.53/44.73 (assume @p387 (forall @t45 (=> @t42 (=> @t87 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t485))))) % 44.53/44.73 (assume @p388 (forall @t6 (=> @t315 (=> @t33 (tptp.finite @t476))))) % 44.53/44.73 (assume @p389 (forall @t13 (=> @t159 (forall @t11 (=> @t117 (= @t160 @t228)))))) % 44.53/44.73 (assume @p390 (forall @t13 (=> @t118 (forall @t11 (=> @t149 (= @t163 (tptp.closed_subsets @t366 @t1))))))) % 44.53/44.73 (assume @p391 (forall @t6 (=> @t85 (= @t487 (tptp.relation_dom_restriction @t106 @t1))))) % 44.53/44.73 (assume @p392 (forall @t6 (tptp.subset @t67 @t1))) % 44.53/44.73 (assume @p393 (forall @t13 (=> @t33 (forall @t11 (=> @t254 (not (and @t169 (forall @t107 (not (and @t151 (forall @t101 (=> (and @t92 @t165) @t426)))))))))))) % 44.53/44.73 (assume @p394 (forall @t6 (=> @t85 (= @t487 (tptp.relation_rng_restriction @t1 @t488))))) % 44.53/44.73 (assume @p395 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t486)) (and @t490 @t5))))) % 44.53/44.73 (assume @p396 (forall @t45 (=> (and @t87 @t491) (tptp.subset @t1 @t339)))) % 44.53/44.73 (assume @p397 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 44.53/44.73 (assume @p398 (forall @t6 (=> @t5 @t492))) % 44.53/44.73 (assume @p399 (forall @t45 (=> (and @t87 @t399) @t491))) % 44.53/44.73 (assume @p400 (= @t400 (tptp.singleton tptp.empty_set))) % 44.53/44.73 (assume @p401 (forall @t45 (=> @t42 (=> @t494 (and @t493 (tptp.in @t2 @t205)))))) % 44.53/44.73 (assume @p402 (forall @t6 (=> @t85 (and (tptp.subset @t495 @t166) (tptp.subset @t495 @t1))))) % 44.53/44.73 (assume @p403 (forall @t6 (=> @t315 (forall @t107 (=> @t237 (= @t498 (and @t493 (tptp.in @t496 @t124)))))))) % 44.53/44.73 (assume @p404 (forall @t123 (=> @t500 (forall @t99 (=> (and (tptp.relation @t89) (tptp.function @t89)) (=> @t79 (or @t134 (= (tptp.apply (tptp.relation_composition @t77 @t89) @t41) (tptp.apply @t89 @t499))))))))) % 44.53/44.73 (assume @p405 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 44.53/44.73 (assume @p406 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t98 @t214))))) % 44.53/44.73 (assume @p407 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 44.53/44.73 (assume @p408 (forall @t6 (=> @t315 (forall @t107 (=> @t237 (=> @t498 (= (tptp.apply @t497 @t1) (tptp.apply @t2 @t496)))))))) % 44.53/44.73 (assume @p409 (forall @t13 (=> @t159 (forall @t11 (=> @t117 (= (tptp.subset_difference @t58 @t192 @t228) @t2)))))) % 44.53/44.73 (assume @p410 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t101 (not (and @t92 (forall @t99 (not @t93))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 44.53/44.73 (assume @p411 (forall @t6 (=> @t85 (=> @t501 (tptp.reflexive @t487))))) % 44.53/44.73 (assume @p412 (forall @t6 (=> @t315 (forall @t107 (=> @t237 (=> (tptp.in @t1 @t124) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 44.53/44.73 (assume @p413 (forall @t13 (=> (and @t64 @t70 @t239 @t240) (forall @t11 (=> @t60 (forall @t107 (=> @t59 (tptp.below @t1 @t68 @t2)))))))) % 44.53/44.73 (assume @p414 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 44.53/44.73 (assume @p415 (forall @t45 (=> @t136 (= (forall @t101 (not (and @t92 (forall @t99 (not (tptp.in @t119 @t41)))))) (= @t274 @t2))))) % 44.53/44.73 (assume @p416 (forall @t6 (=> @t85 (=> @t502 (tptp.connected @t487))))) % 44.53/44.73 (assume @p417 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t323 @t255 @t4))))))) % 44.53/44.73 (assume @p418 (forall @t6 (=> @t85 (=> @t503 (tptp.transitive @t487))))) % 44.53/44.73 (assume @p419 (forall @t13 (=> (and @t227 @t219) (forall @t11 (=> @t60 (forall @t107 (=> @t59 (=> (and @t257 (tptp.related @t1 @t41 @t2)) @t140)))))))) % 44.53/44.73 (assume @p420 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (=> @t87 (and (tptp.subset @t98 @t124) (tptp.subset @t214 @t125)))))))) % 44.53/44.73 (assume @p421 (forall @t6 (=> @t85 (=> @t504 (tptp.antisymmetric @t487))))) % 44.53/44.73 (assume @p422 (forall @t6 (=> @t85 (=> @t507 (and @t506 @t505))))) % 44.53/44.73 (assume @p423 (forall @t13 (=> @t104 (=> (tptp.finite @t98) (tptp.finite @t214))))) % 44.53/44.73 (assume @p424 (forall @t13 (=> (and @t64 @t62 @t61) (forall @t11 (=> @t60 (forall @t107 (=> @t59 (=> (and @t188 (tptp.below @t1 @t41 @t2)) @t140)))))))) % 44.53/44.73 (assume @p425 @t521) % 44.53/44.73 (assume @p426 (forall @t13 (exists @t11 (and @t85 @t507)))) % 44.53/44.73 (assume @p427 (forall @t45 (=> @t87 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t339)))) % 44.53/44.73 (assume @p428 (forall @t13 (=> @t176 (not (and (forall @t11 (not (and @t3 @t134))) (forall @t11 (=> @t315 (not (and @t459 (forall @t107 (=> @t79 (tptp.in @t458 @t41)))))))))))) % 44.53/44.73 (assume @p429 (forall @t6 (=> @t87 (= @t67 @t1)))) % 44.53/44.73 (assume @p430 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t229 @t312)))))) % 44.53/44.73 (assume @p431 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 44.53/44.73 (assume @p432 @t523) % 44.53/44.73 (assume @p433 (forall @t6 (=> (forall @t107 (= @t79 @t151)) @t88))) % 44.53/44.73 (assume @p434 (forall @t13 (tptp.reflexive @t167))) % 44.53/44.73 (assume @p435 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 44.53/44.73 (assume @p436 (forall @t45 (=> @t42 (=> @t494 (and @t490 (tptp.in @t2 @t489)))))) % 44.53/44.73 (assume @p437 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t222 @t314)))))) % 44.53/44.73 (assume @p438 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t86))) @t32))) % 44.53/44.73 (assume @p439 (forall @t6 (=> @t85 (=> @t524 (tptp.well_founded_relation @t487))))) % 44.53/44.73 (assume @p440 (forall @t6 (=> @t29 (not (and @t87 @t157 (forall @t107 (=> @t376 (not (and @t79 (forall @t101 (=> @t383 (=> @t156 (tptp.ordinal_subset @t41 @t77))))))))))))) % 44.53/44.73 (assume @p441 (forall @t6 (=> @t85 (=> @t324 @t505)))) % 44.53/44.73 (assume @p442 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t144 @t2))))))) % 44.53/44.73 (assume @p443 (forall @t45 (=> @t87 (tptp.subset (tptp.set_difference @t1 @t41) @t340)))) % 44.53/44.73 (assume @p444 (forall @t123 (=> (= @t224 @t80) (and @t467 @t172)))) % 44.53/44.73 (assume @p445 (forall @t6 (=> @t315 (= @t84 (and @t459 (forall @t107 (=> @t79 (= @t458 @t41)))))))) % 44.53/44.73 (assume @p446 (forall @t6 (=> @t3 (= (tptp.apply @t83 @t2) @t2)))) % 44.53/44.73 (assume @p447 (forall @t6 (tptp.subset @t212 @t1))) % 44.53/44.73 (assume @p448 (forall @t13 (=> @t40 (and (= @t214 (tptp.relation_dom @t233)) (= @t98 (tptp.relation_rng @t233)))))) % 44.53/44.73 (assume @p449 (forall @t45 (= (tptp.subset @t54 @t41) (and @t333 @t191)))) % 44.53/44.73 (assume @p450 (forall @t6 (=> @t85 (=> (and @t324 (tptp.subset @t1 @t166)) @t506)))) % 44.53/44.73 (assume @p451 (forall @t6 (= @t525 @t56))) % 44.53/44.73 (assume @p452 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 44.53/44.73 (assume @p453 (forall @t45 (not (and @t5 @t191 @t79)))) % 44.53/44.73 (assume @p454 (forall @t6 (= @t334 @t87))) % 44.53/44.73 (assume @p455 (forall @t13 (tptp.transitive @t167))) % 44.53/44.73 (assume @p456 (forall @t6 (and (not (and @t527 (forall @t107 (not @t526)))) (not (and (exists @t107 @t526) @t238))))) % 44.53/44.73 (assume @p457 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t133))) % 44.53/44.73 (assume @p458 (forall @t6 (= (tptp.set_difference @t56 @t2) @t212))) % 44.53/44.73 (assume @p459 (forall @t13 (=> @t32 (= @t221 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t453 @t1)))))))) % 44.53/44.73 (assume @p460 (forall @t13 (=> @t32 (and (not (and (not @t221) (forall @t11 (=> @t29 (not @t528))))) (not (and (exists @t11 (and @t29 @t528)) @t221)))))) % 44.53/44.73 (assume @p461 (forall @t6 (=> @t25 (forall @t107 (=> @t73 (= @t530 (tptp.subset @t2 @t529))))))) % 44.53/44.73 (assume @p462 (forall @t13 (=> @t316 (forall @t11 (=> @t149 (=> @t177 (tptp.closed_subset @t474 @t1))))))) % 44.53/44.73 (assume @p463 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (tptp.subset @t531 @t98)))))) % 44.53/44.73 (assume @p464 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (tptp.subset @t161 @t2)))))) % 44.53/44.73 (assume @p465 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (forall @t107 (=> (tptp.in @t41 @t58) (= (tptp.in @t41 @t115) (forall @t101 (=> @t464 (=> @t532 @t155))))))))))) % 44.53/44.73 (assume @p466 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (tptp.subset @t484 @t125)))))) % 44.53/44.73 (assume @p467 (forall @t6 (=> @t87 (= @t2 @t525)))) % 44.53/44.73 (assume @p468 (forall @t123 (=> @t500 (=> @t169 (forall @t99 (= (tptp.in @t89 (tptp.relation_inverse_image @t77 @t41)) (and @t105 (tptp.in (tptp.apply @t77 @t89) @t41)))))))) % 44.53/44.73 (assume @p469 (forall @t13 (=> @t316 (forall @t11 (=> @t117 (exists @t107 (and @t185 (forall @t101 (=> @t464 (= @t100 @t532))) (= @t115 (tptp.meet_of_subsets @t58 @t41))))))))) % 44.53/44.73 (assume @p470 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (=> (tptp.subset @t214 @t124) (= @t531 @t98))))))) % 44.53/44.73 (assume @p471 (forall @t6 (=> @t254 @t466))) % 44.53/44.73 (assume @p472 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (=> (tptp.subset @t98 @t125) (= (tptp.relation_rng @t286) @t214))))))) % 44.53/44.73 (assume @p473 (forall @t6 (=> @t254 (=> @t169 (= (tptp.subset_difference @t1 @t201 @t275) @t469))))) % 44.53/44.73 (assume @p474 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (tptp.subset @t2 @t115)))))) % 44.53/44.73 (assume @p475 (forall @t6 (=> @t254 (=> @t169 (= @t470 (tptp.subset_difference @t1 @t201 @t277)))))) % 44.53/44.73 (assume @p476 (forall @t6 (= (tptp.set_difference @t1 @t212) @t67))) % 44.53/44.73 (assume @p477 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t237 (=> @t236 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 44.53/44.73 (assume @p478 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 44.53/44.73 (assume @p479 (forall @t45 (=> (and @t5 @t533) (tptp.element @t1 @t41)))) % 44.53/44.73 (assume @p480 (forall @t13 (=> @t32 (tptp.connected @t167)))) % 44.53/44.73 (assume @p481 (forall @t6 (and (not (and @t527 (forall @t107 (not @t534)))) (not (and (exists @t107 @t534) @t238))))) % 44.53/44.73 (assume @p482 (forall @t13 (=> @t157 (forall @t11 (=> @t25 (forall @t107 (=> (tptp.element @t41 @t1) (=> @t189 (tptp.in @t41 @t223))))))))) % 44.53/44.73 (assume @p483 (forall @t13 (=> @t316 (forall @t11 (=> @t117 @t320))))) % 44.53/44.73 (assume @p484 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (and (=> @t229 @t535) (=> (and @t150 @t535) @t229))))))) % 44.53/44.73 (assume @p485 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t237 (=> @t236 (and (=> @t203 @t501) (=> @t121 @t503) (=> @t120 @t502) (=> @t109 @t504) (=> @t179 @t524)))))))))) % 44.53/44.73 (assume @p486 (forall @t13 (=> @t104 (=> @t50 (forall @t11 (=> @t315 (= (= @t2 @t256) (and (= @t124 @t214) (forall @t82 (and (=> @t536 @t213) (=> @t213 @t536))))))))))) % 44.53/44.73 (assume @p487 (forall @t45 (=> @t73 (not (and (tptp.in @t2 @t529) @t191))))) % 44.53/44.73 (assume @p488 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t237 (=> (and @t204 @t236) @t324)))))))) % 44.53/44.73 (assume @p489 (forall @t13 (=> @t104 (=> @t50 (and (= @t214 (tptp.relation_dom @t256)) (= @t98 (tptp.relation_rng @t256))))))) % 44.53/44.73 (assume @p490 (forall @t13 (=> @t316 (forall @t11 (=> (tptp.top_str @t2) (forall @t107 (=> @t116 (forall @t101 (=> (tptp.element @t77 (tptp.powerset (tptp.the_carrier @t2))) (and (=> (tptp.open_subset @t77 @t2) (= (tptp.interior @t2 @t77) @t77)) (=> (= (tptp.interior @t1 @t41) @t41) @t162))))))))))) % 44.53/44.73 (assume @p491 (forall @t13 (=> @t40 (=> (forall @t96 @t330) @t133)))) % 44.53/44.73 (assume @p492 (forall @t6 (=> @t315 (=> (and @t337 (tptp.in @t1 @t125)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t537 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t537 @t2) @t1))))))) % 44.53/44.73 (assume @p493 (forall @t45 (not (and @t5 @t533 (tptp.empty @t41))))) % 44.53/44.73 (assume @p494 (forall @t13 (=> @t296 (forall @t11 (=> @t149 (not (and @t186 @t134))))))) % 44.53/44.73 (assume @p495 (forall @t13 (=> @t40 (= @t179 (tptp.is_well_founded_in @t1 @t108))))) % 44.53/44.73 (assume @p496 (forall @t13 (tptp.antisymmetric @t167))) % 44.53/44.73 (assume @p497 (and (= @t539 tptp.empty_set) (= @t538 tptp.empty_set))) % 44.53/44.73 (assume @p498 (forall @t6 (not (and @t87 @t7)))) % 44.53/44.73 (assume @p499 (forall @t13 (=> @t104 (=> @t50 (tptp.one_to_one @t256))))) % 44.53/44.73 (assume @p500 (forall @t45 (=> (and @t87 @t530) (tptp.disjoint @t1 @t41)))) % 44.53/44.73 (assume @p501 (forall @t13 (=> @t40 (=> (or @t541 @t540) @t133)))) % 44.53/44.73 (assume @p502 (forall @t13 (=> @t40 (= @t541 @t540)))) % 44.53/44.73 (assume @p503 (forall @t6 (= (= (tptp.set_difference @t1 @t331) @t1) @t4))) % 44.53/44.73 (assume @p504 (forall @t6 (=> @t315 (forall @t107 (=> @t237 (= (= @t2 @t335) (and (= @t124 (tptp.set_intersection2 @t206 @t1)) (forall @t101 (=> (tptp.in @t77 @t124) (= (tptp.apply @t2 @t77) @t235)))))))))) % 44.53/44.73 (assume @p505 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t143))) % 44.53/44.73 (assume @p506 @t542) % 44.53/44.73 (assume @p507 (forall @t123 (=> @t500 (=> @t79 (or @t134 (tptp.in @t499 @t482)))))) % 44.53/44.73 (assume @p508 (forall @t13 (=> @t32 (tptp.well_founded_relation @t167)))) % 44.53/44.73 (assume @p509 (forall @t6 (=> (tptp.subset @t143 @t331) @t88))) % 44.53/44.73 (assume @p510 (forall @t45 (=> @t237 (=> @t336 @t543)))) % 44.53/44.73 (assume @p511 (forall @t13 (and (= (tptp.relation_dom @t83) @t1) (= (tptp.relation_rng @t83) @t1)))) % 44.53/44.73 (assume @p512 (forall @t45 (=> @t237 (=> @t3 @t543)))) % 44.53/44.73 (assume @p513 (forall @t123 (=> @t403 (= (tptp.in @t224 (tptp.relation_composition (tptp.identity_relation @t41) @t77)) (and @t333 (tptp.in @t224 @t77)))))) % 44.53/44.73 (assume @p514 @t544) % 44.53/44.73 (assume @p515 (forall @t6 (and (= (tptp.pair_first @t224) @t1) (= (tptp.pair_second @t224) @t2)))) % 44.53/44.73 (assume @p516 (forall @t6 (not (and @t5 (forall @t107 (not (and @t151 (forall @t101 (not (and @t92 @t100)))))))))) % 44.53/44.73 (assume @p517 (forall @t13 (=> @t32 (tptp.well_ordering @t167)))) % 44.53/44.73 (assume @p518 (forall @t6 (tptp.subset @t1 @t56))) % 44.53/44.73 (assume @p519 (forall @t6 (= @t238 (= @t212 @t1)))) % 44.53/44.73 (assume @p520 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t475)) (and @t5 @t493))))) % 44.53/44.73 (assume @p521 (forall @t6 (=> @t85 (tptp.subset @t488 @t2)))) % 44.53/44.73 (assume @p522 (forall @t6 (not (and @t22 @t255 @t175)))) % 44.53/44.73 (assume @p523 (forall @t45 (=> @t237 (= @t494 (and @t493 (= @t2 @t496)))))) % 44.53/44.73 (assume @p524 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t108) @t204)))) % 44.53/44.73 (assume @p525 (forall @t45 (=> (and @t87 @t184) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 44.53/44.73 (assume @p526 (forall @t45 (=> @t545 @t88))) % 44.53/44.73 (assume @p527 (forall @t6 (=> @t85 (= (tptp.relation_dom @t488) @t479)))) % 44.53/44.73 (assume @p528 (forall @t6 (=> @t85 (= @t488 (tptp.relation_composition @t83 @t2))))) % 44.53/44.73 (assume @p529 (forall @t6 (=> @t85 (tptp.subset (tptp.relation_rng @t488) @t125)))) % 44.53/44.73 (assume @p530 (forall @t13 (= (tptp.union @t24) @t1))) % 44.53/44.73 (assume @p531 (forall @t123 (=> @t500 (=> @t399 (or (and @t134 @t157) (and @t266 (tptp.quasi_total @t77 @t1 @t41) (tptp.relation_of2_as_subset @t77 @t1 @t41))))))) % 44.53/44.73 (assume @p532 (forall @t13 (exists @t11 (and @t5 @t473 (forall @t107 (not (and @t151 (forall @t101 (not (and @t92 (forall @t99 (=> (tptp.subset @t89 @t41) @t122)))))))) @t471)))) % 44.53/44.73 (assume @p533 (forall @t45 (=> @t545 @t140))) % 44.53/44.73 (step @p534 :rule evaluate :args ((= true false))) % 44.53/44.73 (step @p535 :rule bool-and-de-morgan :args (@t5 @t175 true)) % 44.53/44.73 (step @p536 :rule cong :premises (@p535) :args (@t544)) % 44.53/44.73 (step @p537 :rule eq_resolve :premises (@p514 @p536)) % 44.53/44.73 (step @p538 :rule instantiate :premises (@p537) :args ((@list @t560 tptp.empty_set))) % 44.53/44.73 (step @p539 :rule and_elim :premises (@p178) :args (0)) % 44.53/44.73 (step @p540 :rule cnf_or_pos :args (@t563)) % 44.53/44.73 (step @p541 :rule reordering :premises (@p540) :args ((or @t561 @t562 (not @t563)))) % 44.53/44.73 (step @p542 :rule chain_m_resolution :premises (@p541 @p539 @p538) :args (@t562 @t564 (@list @t290 @t563))) % 44.53/44.73 (step @p543 :rule false_intro :premises (@p542)) % 44.53/44.73 (step @p544 :rule and_elim :premises (@p497) :args (0)) % 44.53/44.73 (step @p545 :rule refl :args (@t560)) % 44.53/44.73 (step @p546 :rule cong :premises (@p545 @p544) :args (@t565)) % 44.53/44.73 (step @p547 :rule instantiate :premises (@p260) :args ((@list @t560 @t566 @t539 @t538))) % 44.53/44.73 (step @p548 :rule aci_norm :args ((= @t572 (or @t570 @t569 @t568)))) % 44.53/44.73 (step @p549 :rule cong :premises (@p548) :args (@t573)) % 44.53/44.73 (step @p550 :rule quant-merge-prenex :args ((= (forall @t6 @t575) @t573))) % 44.53/44.73 (step @p551 :rule alpha_equiv :args (@t576 (@list @t567) @t577)) % 44.53/44.73 (step @p552 :rule refl :args (@t570)) % 44.53/44.73 (step @p553 :rule nary_cong :premises (@p552 @p551) :args (@t578)) % 44.53/44.73 (step @p554 :rule quant-miniscope-or :args ((= @t575 @t578))) % 44.53/44.73 (step @p555 :rule trans :premises (@p554 @p553)) % 44.53/44.73 (step @p556 :rule symm :premises (@p555)) % 44.53/44.73 (step @p557 :rule cong :premises (@p556) :args ((forall @t6 (or @t570 @t579)))) % 44.53/44.73 (step @p558 :rule trans :premises (@p557 @p550)) % 44.53/44.73 (step @p559 :rule trans :premises (@p558 @p549)) % 44.53/44.73 (step @p560 :rule bool-impl-elim :args (@t25 @t579)) % 44.53/44.73 (step @p561 :rule cong :premises (@p560) :args ((forall @t6 (=> @t25 @t579)))) % 44.53/44.73 (step @p562 :rule trans :premises (@p561 @p559)) % 44.53/44.73 (step @p563 :rule bool-impl-elim :args (@t151 @t79)) % 44.53/44.73 (step @p564 :rule cong :premises (@p563) :args (@t325)) % 44.53/44.73 (step @p565 :rule refl :args (@t25)) % 44.53/44.73 (step @p566 :rule cong :premises (@p565 @p564) :args (@t326)) % 44.53/44.73 (step @p567 :rule cong :premises (@p566) :args (@t327)) % 44.53/44.73 (step @p568 :rule trans :premises (@p567 @p562)) % 44.53/44.73 (step @p569 :rule eq_resolve :premises (@p253 @p568)) % 44.53/44.73 (step @p570 :rule instantiate :premises (@p569) :args ((@list @t583 @t582 @t580))) % 44.53/44.73 (step @p571 :rule bool-impl-elim :args (@t136 @t44)) % 44.53/44.73 (step @p572 :rule cong :premises (@p571) :args (@t281)) % 44.53/44.73 (step @p573 :rule eq_resolve :premises (@p159 @p572)) % 44.53/44.73 (step @p574 :rule instantiate :premises (@p573) :args (@t585)) % 44.53/44.73 (step @p575 :rule bool-impl-elim :args (@t219 @t283)) % 44.53/44.73 (step @p576 :rule cong :premises (@p575) :args (@t284)) % 44.53/44.73 (step @p577 :rule eq_resolve :premises (@p161 @p576)) % 44.53/44.73 (step @p578 :rule instantiate :premises (@p577) :args (@t586)) % 44.53/44.73 (step @p579 :rule aci_norm :args ((= @t588 @t557))) % 44.53/44.73 (step @p580 :rule cong :premises (@p579) :args (@t589)) % 44.53/44.73 (step @p581 :rule quant-merge-prenex :args ((= (forall @t13 @t591) @t589))) % 44.53/44.73 (step @p582 :rule alpha_equiv :args (@t592 (@list @t547 @t549 @t546) (@list @t2 @t594 @t593))) % 44.53/44.73 (step @p583 :rule refl :args (@t555)) % 44.53/44.73 (step @p584 :rule refl :args (@t556)) % 44.53/44.73 (step @p585 :rule nary_cong :premises (@p584 @p583 @p582) :args (@t595)) % 44.53/44.73 (step @p586 :rule quant-miniscope-or :args ((= @t591 @t595))) % 44.53/44.73 (step @p587 :rule trans :premises (@p586 @p585)) % 44.53/44.73 (step @p588 :rule symm :premises (@p587)) % 44.53/44.73 (step @p589 :rule cong :premises (@p588) :args ((forall @t13 @t605))) % 44.53/44.73 (step @p590 :rule trans :premises (@p589 @p581)) % 44.53/44.73 (step @p591 :rule trans :premises (@p590 @p580)) % 44.53/44.73 (step @p592 :rule aci_norm :args ((= (or (or @t556 @t555) @t604) @t605))) % 44.53/44.73 (step @p593 :rule refl :args (@t604)) % 44.53/44.73 (step @p594 :rule bool-and-de-morgan :args (@t217 @t219 true)) % 44.53/44.73 (step @p595 :rule nary_cong :premises (@p594 @p593) :args ((or (not @t518) @t604))) % 44.53/44.73 (step @p596 :rule trans :premises (@p595 @p592)) % 44.53/44.73 (step @p597 :rule bool-impl-elim :args (@t518 @t604)) % 44.53/44.73 (step @p598 :rule trans :premises (@p597 @p596)) % 44.53/44.73 (step @p599 :rule cong :premises (@p598) :args ((forall @t13 (=> @t518 @t604)))) % 44.53/44.73 (step @p600 :rule trans :premises (@p599 @p591)) % 44.53/44.73 (step @p601 :rule aci_norm :args ((= @t607 @t602))) % 44.53/44.73 (step @p602 :rule cong :premises (@p601) :args (@t608)) % 44.53/44.73 (step @p603 :rule quant-merge-prenex :args ((= (forall @t11 @t610) @t608))) % 44.53/44.73 (step @p604 :rule alpha_equiv :args (@t611 (@list @t594 @t593) (@list @t41 @t612))) % 44.53/44.73 (step @p605 :rule refl :args (@t601)) % 44.53/44.73 (step @p606 :rule nary_cong :premises (@p605 @p604) :args (@t613)) % 44.53/44.73 (step @p607 :rule quant-miniscope-or :args ((= @t610 @t613))) % 44.53/44.73 (step @p608 :rule trans :premises (@p607 @p606)) % 44.53/44.73 (step @p609 :rule symm :premises (@p608)) % 44.53/44.73 (step @p610 :rule cong :premises (@p609) :args ((forall @t11 (or @t601 @t621)))) % 44.53/44.73 (step @p611 :rule trans :premises (@p610 @p603)) % 44.53/44.73 (step @p612 :rule trans :premises (@p611 @p602)) % 44.53/44.73 (step @p613 :rule bool-impl-elim :args (@t60 @t621)) % 44.53/44.73 (step @p614 :rule cong :premises (@p613) :args ((forall @t11 (=> @t60 @t621)))) % 44.53/44.73 (step @p615 :rule trans :premises (@p614 @p612)) % 44.53/44.73 (step @p616 :rule aci_norm :args ((= @t623 @t619))) % 44.53/44.73 (step @p617 :rule cong :premises (@p616) :args (@t624)) % 44.53/44.73 (step @p618 :rule quant-merge-prenex :args ((= (forall @t107 @t626) @t624))) % 44.53/44.73 (step @p619 :rule alpha_equiv :args (@t627 (@list @t612) (@list @t77))) % 44.53/44.73 (step @p620 :rule refl :args (@t617)) % 44.53/44.73 (step @p621 :rule refl :args (@t618)) % 44.53/44.73 (step @p622 :rule nary_cong :premises (@p621 @p620 @p619) :args (@t628)) % 44.53/44.73 (step @p623 :rule quant-miniscope-or :args ((= @t626 @t628))) % 44.53/44.73 (step @p624 :rule trans :premises (@p623 @p622)) % 44.53/44.73 (step @p625 :rule symm :premises (@p624)) % 44.53/44.73 (step @p626 :rule cong :premises (@p625) :args ((forall @t107 @t633))) % 44.53/44.73 (step @p627 :rule trans :premises (@p626 @p618)) % 44.53/44.73 (step @p628 :rule trans :premises (@p627 @p617)) % 44.53/44.73 (step @p629 :rule aci_norm :args ((= (or @t618 @t634) @t633))) % 44.53/44.73 (step @p630 :rule bool-impl-elim :args (@t59 @t634)) % 44.53/44.73 (step @p631 :rule trans :premises (@p630 @p629)) % 44.53/44.73 (step @p632 :rule cong :premises (@p631) :args ((forall @t107 (=> @t59 @t634)))) % 44.53/44.73 (step @p633 :rule trans :premises (@p632 @p628)) % 44.53/44.73 (step @p634 :rule quant-miniscope-or :args ((= (forall @t101 @t635) @t634))) % 44.53/44.73 (step @p635 :rule aci_norm :args ((= @t636 @t635))) % 44.53/44.73 (step @p636 :rule cong :premises (@p635) :args ((forall @t101 @t636))) % 44.53/44.73 (step @p637 :rule trans :premises (@p636 @p634)) % 44.53/44.73 (step @p638 :rule aci_norm :args ((= (or @t630 @t637) @t636))) % 44.53/44.73 (step @p639 :rule aci_norm :args ((= (or (or @t617 @t629) @t508) @t637))) % 44.53/44.73 (step @p640 :rule refl :args (@t508)) % 44.53/44.73 (step @p641 :rule bool-and-de-morgan :args (@t257 @t509 true)) % 44.53/44.73 (step @p642 :rule nary_cong :premises (@p641 @p640) :args ((or (not @t510) @t508))) % 44.53/44.73 (step @p643 :rule trans :premises (@p642 @p639)) % 44.53/44.73 (step @p644 :rule 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@t726 @t727 (not @t728)))) % 44.53/44.73 (step @p851 :rule chain_m_resolution :premises (@p850 @p680 @p848) :args (@t726 @t564 (@list @t659 @t728))) % 44.53/44.73 (step @p852 :rule cnf_or_pos :args (@t733)) % 44.53/44.73 (step @p853 :rule reordering :premises (@p852) :args ((or @t732 @t731 (not @t733)))) % 44.53/44.73 (step @p854 :rule chain_m_resolution :premises (@p853 @p851 @p844) :args (@t731 @t564 (@list @t726 @t733))) % 44.53/44.73 (step @p855 :rule bool-impl-elim :args (@t219 @t218)) % 44.53/44.73 (step @p856 :rule cong :premises (@p855) :args (@t220)) % 44.53/44.73 (step @p857 :rule eq_resolve :premises (@p101 @p856)) % 44.53/44.73 (step @p858 :rule instantiate :premises (@p857) :args (@t586)) % 44.53/44.73 (step @p859 :rule cnf_or_pos :args (@t735)) % 44.53/44.73 (step @p860 :rule reordering :premises (@p859) :args ((or @t651 @t734 (not @t735)))) % 44.53/44.73 (step @p861 :rule chain_m_resolution :premises (@p860 @p674 @p858) :args (@t734 @t564 (@list @t638 @t735))) % 44.53/44.73 (step @p862 :rule bool-double-not-elim :args (@t652)) % 44.53/44.73 (step @p863 :rule nary_cong :premises (@p669 @p862) :args ((or @t654 (not @t653)))) % 44.53/44.73 (step @p864 :rule cnf_or_neg :args (@t654 0)) % 44.53/44.73 (step @p865 :rule eq_resolve :premises (@p864 @p863)) % 44.53/44.73 (step @p866 :rule reordering :premises (@p865) :args ((or @t652 @t654))) % 44.53/44.73 (step @p867 :rule chain_m_resolution :premises (@p866 @p667) :args (@t652 @t655 @t656)) % 44.53/44.73 (step @p868 :rule cnf_equiv_pos1 :args (@t734)) % 44.53/44.73 (step @p869 :rule reordering :premises (@p868) :args ((or @t653 @t730 (not @t734)))) % 44.53/44.73 (step @p870 :rule chain_m_resolution :premises (@p869 @p867 @p861) :args (@t730 @t564 (@list @t652 @t734))) % 44.53/44.73 (step @p871 :rule cnf_equiv_pos1 :args (@t731)) % 44.53/44.73 (step @p872 :rule reordering :premises (@p871) :args ((or (not @t730) @t729 (not @t731)))) % 44.53/44.73 (step @p873 :rule chain_m_resolution :premises (@p872 @p870 @p854) :args (@t729 @t564 (@list @t730 @t731))) % 44.53/44.73 (step @p874 :rule instantiate :premises (@p873) :args ((@list @t639 @t560 @t566))) % 44.53/44.73 (step @p875 :rule cnf_or_pos :args (@t741)) % 44.53/44.73 (step @p876 :rule reordering :premises (@p875) :args ((or @t706 @t740 @t739 @t738 @t737 @t736 (not @t741)))) % 44.53/44.73 (step @p877 :rule chain_m_resolution :premises (@p876 @p874 @p801 @p788 @p779 @p728 @p726 @p725 @p719 @p717 @p716 @p710 @p708 @p702) :args (@t662 (@list false false true false false false false false false false false false false) (@list @t741 @t710 @t706 @t702 @t674 @t675 @t643 @t672 @t673 @t647 @t670 @t671 @t649))) % 44.53/44.73 (step @p878 :rule cnf_or_pos :args (@t667)) % 44.53/44.73 (step @p879 :rule reordering :premises (@p878) :args ((or @t663 @t666 (not @t667)))) % 44.53/44.73 (step @p880 :rule chain_m_resolution :premises (@p879 @p877 @p696) :args (@t666 @t564 (@list @t662 @t667))) % 44.53/44.73 (step @p881 :rule trans :premises (@p544 @p880)) % 44.53/44.73 (step @p882 :rule symm :premises (@p544)) % 44.53/44.73 (step @p883 :rule and_elim :premises (@p497) :args (1)) % 44.53/44.73 (step @p884 :rule trans :premises (@p883 @p882)) % 44.53/44.73 (step @p885 :rule trans :premises (@p884 @p881)) % 44.53/44.73 (step @p886 :rule cong :premises (@p885 @p881) :args ((tptp.cartesian_product2 @t538 @t539))) % 44.53/44.73 (step @p887 :rule symm :premises (@p884)) % 44.53/44.73 (step @p888 :rule cong :premises (@p887 @p884) :args (@t583)) % 44.53/44.73 (step @p889 :rule trans :premises (@p888 @p886)) % 44.53/44.73 (step @p890 :rule cong :premises (@p889) :args (@t742)) % 44.53/44.73 (step @p891 :rule refl :args (@t582)) % 44.53/44.73 (step @p892 :rule cong :premises (@p891 @p890) :args (@t743)) % 44.53/44.73 (step @p893 :rule trans :premises (@p892 @p681)) % 44.53/44.73 (step @p894 :rule true_elim :premises (@p893)) % 44.53/44.73 (step @p895 :rule cnf_or_pos :args (@t746)) % 44.53/44.73 (step @p896 :rule reordering :premises (@p895) :args ((or @t736 @t744 @t745 (not @t746)))) % 44.53/44.73 (step @p897 :rule chain_m_resolution :premises (@p896 @p801 @p894 @p570) :args (@t744 (@list false false false) (@list @t710 @t743 @t746))) % 44.53/44.73 (step @p898 :rule cnf_equiv_pos1 :args (@t748)) % 44.53/44.73 (step @p899 :rule reordering :premises (@p898) :args ((or @t747 (not @t744) (not @t748)))) % 44.53/44.73 (step @p900 :rule chain_m_resolution :premises (@p899 @p897 @p547) :args (@t747 @t564 (@list @t744 @t748))) % 44.53/44.73 (step @p901 :rule cnf_and_pos :args (@t747 0)) % 44.53/44.73 (step @p902 :rule reordering :premises (@p901) :args ((or @t565 (not @t747)))) % 44.53/44.73 (step @p903 :rule chain_m_resolution :premises (@p902 @p900) :args (@t565 @t668 (@list @t747))) % 44.53/44.74 (step @p904 :rule true_intro :premises (@p903)) % 44.53/44.74 (step @p905 :rule symm :premises (@p904)) % 44.53/44.74 (step @p906 :rule trans :premises (@p905 @p546 @p543)) % 44.53/44.74 (step @p907 false :rule eq_resolve :premises (@p906 @p534)) % 44.53/44.74 ) % 44.53/44.74 % SZS output end Proof % 44.53/44.74 % cvc5 exiting %------------------------------------------------------------------------------