%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU341+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:27 AM UTC 2026 % Result : Theorem 1.02s 1.23s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU341+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:57:46 EDT 2026 % 0.16/0.35 % CPUTime : % 0.48/0.63 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.23 % SZS status Theorem % 1.02/1.23 % SZS output start Proof % 1.02/1.23 ( % 1.02/1.23 (declare-sort $$unsorted 0) % 1.02/1.23 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.empty_set $$unsorted) % 1.02/1.23 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.function (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.finite (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.connected (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.natural (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.transitive (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.omega $$unsorted) % 1.02/1.23 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.24 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.02/1.24 (declare-const tptp.centered (-> $$unsorted Bool)) % 1.02/1.24 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.24 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.02/1.24 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.24 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 1.02/1.24 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 1.02/1.24 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 1.02/1.24 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 1.02/1.24 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.24 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 1.02/1.24 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.24 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.02/1.24 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 1.02/1.24 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 1.02/1.24 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.24 (declare-const tptp.top_str (-> $$unsorted Bool)) % 1.02/1.24 (define @t1 () (@var "A" $$unsorted)) % 1.02/1.24 (define @t2 () (@var "B" $$unsorted)) % 1.02/1.24 (define @t3 () (tptp.in @t2 @t1)) % 1.02/1.24 (define @t4 () (not @t3)) % 1.02/1.24 (define @t5 () (tptp.in @t1 @t2)) % 1.02/1.24 (define @t6 () (@list @t1 @t2)) % 1.02/1.24 (define @t7 () (tptp.proper_subset @t2 @t1)) % 1.02/1.24 (define @t8 () (tptp.proper_subset @t1 @t2)) % 1.02/1.24 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 1.02/1.24 (define @t10 () (tptp.element @t2 @t1)) % 1.02/1.24 (define @t11 () (@list @t2)) % 1.02/1.24 (define @t12 () (tptp.v1_membered @t1)) % 1.02/1.24 (define @t13 () (@list @t1)) % 1.02/1.24 (define @t14 () (tptp.v1_xreal_0 @t2)) % 1.02/1.24 (define @t15 () (tptp.v2_membered @t1)) % 1.02/1.24 (define @t16 () (tptp.v1_rat_1 @t2)) % 1.02/1.24 (define @t17 () (tptp.v3_membered @t1)) % 1.02/1.24 (define @t18 () (tptp.v1_int_1 @t2)) % 1.02/1.24 (define @t19 () (tptp.v4_membered @t1)) % 1.02/1.24 (define @t20 () (tptp.natural @t2)) % 1.02/1.24 (define @t21 () (tptp.v5_membered @t1)) % 1.02/1.24 (define @t22 () (tptp.empty @t1)) % 1.02/1.24 (define @t23 () (tptp.v1_membered @t2)) % 1.02/1.24 (define @t24 () (tptp.powerset @t1)) % 1.02/1.24 (define @t25 () (tptp.element @t2 @t24)) % 1.02/1.24 (define @t26 () (tptp.v2_membered @t2)) % 1.02/1.24 (define @t27 () (tptp.v3_membered @t2)) % 1.02/1.24 (define @t28 () (tptp.v4_membered @t2)) % 1.02/1.24 (define @t29 () (tptp.ordinal @t2)) % 1.02/1.24 (define @t30 () (tptp.epsilon_connected @t2)) % 1.02/1.24 (define @t31 () (tptp.epsilon_transitive @t2)) % 1.02/1.24 (define @t32 () (tptp.ordinal @t1)) % 1.02/1.24 (define @t33 () (tptp.finite @t1)) % 1.02/1.24 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 1.02/1.24 (define @t35 () (tptp.preboolean @t1)) % 1.02/1.24 (define @t36 () (tptp.function @t1)) % 1.02/1.24 (define @t37 () (tptp.epsilon_connected @t1)) % 1.02/1.24 (define @t38 () (tptp.epsilon_transitive @t1)) % 1.02/1.24 (define @t39 () (and @t38 @t37)) % 1.02/1.24 (define @t40 () (tptp.relation @t1)) % 1.02/1.24 (define @t41 () (@var "C" $$unsorted)) % 1.02/1.24 (define @t42 () (tptp.relation @t41)) % 1.02/1.24 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 1.02/1.24 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 1.02/1.24 (define @t45 () (@list @t1 @t2 @t41)) % 1.02/1.24 (define @t46 () (tptp.natural @t1)) % 1.02/1.24 (define @t47 () (and @t38 @t37 @t32 @t46)) % 1.02/1.24 (define @t48 () (tptp.finite @t2)) % 1.02/1.24 (define @t49 () (tptp.one_to_one @t1)) % 1.02/1.24 (define @t50 () (and @t40 @t36 @t49)) % 1.02/1.24 (define @t51 () (and @t40 @t22 @t36)) % 1.02/1.24 (define @t52 () (and @t38 @t37 @t32)) % 1.02/1.24 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 1.02/1.24 (define @t54 () (tptp.set_union2 @t2 @t1)) % 1.02/1.24 (define @t55 () (tptp.set_union2 @t1 @t2)) % 1.02/1.24 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 1.02/1.24 (define @t57 () (tptp.the_carrier @t1)) % 1.02/1.24 (define @t58 () (tptp.element @t41 @t57)) % 1.02/1.24 (define @t59 () (tptp.element @t2 @t57)) % 1.02/1.24 (define @t60 () (tptp.join_semilatt_str @t1)) % 1.02/1.24 (define @t61 () (tptp.join_commutative @t1)) % 1.02/1.24 (define @t62 () (tptp.empty_carrier @t1)) % 1.02/1.24 (define @t63 () (not @t62)) % 1.02/1.24 (define @t64 () (and @t63 @t61 @t60 @t59 @t58)) % 1.02/1.24 (define @t65 () (tptp.set_intersection2 @t2 @t1)) % 1.02/1.24 (define @t66 () (tptp.set_intersection2 @t1 @t2)) % 1.02/1.24 (define @t67 () (tptp.meet_commut @t1 @t2 @t41)) % 1.02/1.24 (define @t68 () (tptp.meet_semilatt_str @t1)) % 1.02/1.24 (define @t69 () (tptp.meet_commutative @t1)) % 1.02/1.24 (define @t70 () (and @t63 @t69 @t68 @t59 @t58)) % 1.02/1.24 (define @t71 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 1.02/1.24 (define @t72 () (tptp.element @t41 @t24)) % 1.02/1.24 (define @t73 () (and @t25 @t72)) % 1.02/1.24 (define @t74 () (tptp.ordinal_subset @t1 @t2)) % 1.02/1.24 (define @t75 () (and @t32 @t29)) % 1.02/1.24 (define @t76 () (@var "D" $$unsorted)) % 1.02/1.24 (define @t77 () (= @t41 @t76)) % 1.02/1.24 (define @t78 () (tptp.in @t41 @t1)) % 1.02/1.24 (define @t79 () (tptp.ordered_pair @t41 @t76)) % 1.02/1.24 (define @t80 () (tptp.in @t79 @t2)) % 1.02/1.24 (define @t81 () (@list @t41 @t76)) % 1.02/1.24 (define @t82 () (tptp.identity_relation @t1)) % 1.02/1.24 (define @t83 () (= @t2 @t82)) % 1.02/1.24 (define @t84 () (tptp.relation @t2)) % 1.02/1.24 (define @t85 () (tptp.subset @t2 @t1)) % 1.02/1.24 (define @t86 () (tptp.subset @t1 @t2)) % 1.02/1.24 (define @t87 () (= @t1 @t2)) % 1.02/1.24 (define @t88 () (@var "E" $$unsorted)) % 1.02/1.24 (define @t89 () (tptp.ordered_pair @t76 @t88)) % 1.02/1.24 (define @t90 () (tptp.in @t89 @t1)) % 1.02/1.24 (define @t91 () (tptp.in @t76 @t2)) % 1.02/1.24 (define @t92 () (tptp.in @t89 @t41)) % 1.02/1.24 (define @t93 () (@list @t76 @t88)) % 1.02/1.24 (define @t94 () (tptp.relation_dom_restriction @t1 @t2)) % 1.02/1.24 (define @t95 () (@list @t2 @t41)) % 1.02/1.24 (define @t96 () (tptp.in @t88 @t2)) % 1.02/1.24 (define @t97 () (tptp.relation_dom @t1)) % 1.02/1.24 (define @t98 () (@list @t88)) % 1.02/1.24 (define @t99 () (tptp.in @t76 @t41)) % 1.02/1.24 (define @t100 () (@list @t76)) % 1.02/1.24 (define @t101 () (tptp.relation_image @t1 @t2)) % 1.02/1.24 (define @t102 () (= @t41 @t101)) % 1.02/1.24 (define @t103 () (and @t40 @t36)) % 1.02/1.24 (define @t104 () (tptp.in @t88 @t1)) % 1.02/1.24 (define @t105 () (tptp.relation_rng_restriction @t1 @t2)) % 1.02/1.24 (define @t106 () (@list @t41)) % 1.02/1.24 (define @t107 () (tptp.relation_field @t1)) % 1.02/1.24 (define @t108 () (tptp.antisymmetric @t1)) % 1.02/1.24 (define @t109 () (tptp.apply @t1 @t76)) % 1.02/1.24 (define @t110 () (tptp.in @t76 @t97)) % 1.02/1.24 (define @t111 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 1.02/1.24 (define @t112 () (tptp.powerset @t57)) % 1.02/1.24 (define @t113 () (tptp.element @t88 @t112)) % 1.02/1.24 (define @t114 () (tptp.topstr_closure @t1 @t2)) % 1.02/1.24 (define @t115 () (tptp.element @t41 @t112)) % 1.02/1.24 (define @t116 () (tptp.element @t2 @t112)) % 1.02/1.24 (define @t117 () (tptp.top_str @t1)) % 1.02/1.24 (define @t118 () (tptp.ordered_pair @t88 @t76)) % 1.02/1.24 (define @t119 () (tptp.connected @t1)) % 1.02/1.24 (define @t120 () (tptp.transitive @t1)) % 1.02/1.24 (define @t121 () (tptp.interior @t1 @t41)) % 1.02/1.24 (define @t122 () (tptp.point_neighbourhood @t41 @t1 @t2)) % 1.02/1.24 (define @t123 () (= @t122 (tptp.in @t2 @t121))) % 1.02/1.24 (define @t124 () (forall @t106 (=> @t115 @t123))) % 1.02/1.24 (define @t125 () (=> @t59 @t124)) % 1.02/1.24 (define @t126 () (forall @t11 @t125)) % 1.02/1.24 (define @t127 () (tptp.topological_space @t1)) % 1.02/1.24 (define @t128 () (and @t63 @t127 @t117)) % 1.02/1.24 (define @t129 () (=> @t128 @t126)) % 1.02/1.24 (define @t130 () (forall @t13 @t129)) % 1.02/1.24 (define @t131 () (tptp.in @t88 @t76)) % 1.02/1.24 (define @t132 () (@list @t1 @t2 @t41 @t76)) % 1.02/1.24 (define @t133 () (tptp.relation_dom @t2)) % 1.02/1.24 (define @t134 () (tptp.relation_rng @t2)) % 1.02/1.24 (define @t135 () (tptp.function @t2)) % 1.02/1.24 (define @t136 () (tptp.in (tptp.ordered_pair @t2 @t76) @t1)) % 1.02/1.24 (define @t137 () (tptp.ordered_pair @t2 @t41)) % 1.02/1.24 (define @t138 () (tptp.in @t137 @t1)) % 1.02/1.24 (define @t139 () (@list @t2 @t41 @t76)) % 1.02/1.24 (define @t140 () (= @t41 tptp.empty_set)) % 1.02/1.24 (define @t141 () (tptp.quasi_total @t41 @t1 @t2)) % 1.02/1.24 (define @t142 () (= @t1 tptp.empty_set)) % 1.02/1.24 (define @t143 () (= @t2 tptp.empty_set)) % 1.02/1.24 (define @t144 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 1.02/1.24 (define @t145 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 1.02/1.24 (define @t146 () (tptp.the_L_join @t1)) % 1.02/1.24 (define @t147 () (tptp.join @t1 @t2 @t41)) % 1.02/1.24 (define @t148 () (and @t63 @t60)) % 1.02/1.24 (define @t149 () (= @t2 @t41)) % 1.02/1.24 (define @t150 () (= @t1 @t79)) % 1.02/1.24 (define @t151 () (exists @t95 (= @t1 @t137))) % 1.02/1.24 (define @t152 () (tptp.singleton @t1)) % 1.02/1.24 (define @t153 () (tptp.succ @t1)) % 1.02/1.24 (define @t154 () (tptp.the_topology @t1)) % 1.02/1.24 (define @t155 () (tptp.in @t2 @t154)) % 1.02/1.24 (define @t156 () (tptp.union_of_subsets @t57 @t2)) % 1.02/1.24 (define @t157 () (tptp.powerset @t112)) % 1.02/1.24 (define @t158 () (tptp.element @t2 @t157)) % 1.02/1.24 (define @t159 () (tptp.in @t41 @t2)) % 1.02/1.24 (define @t160 () (tptp.is_reflexive_in @t1 @t2)) % 1.02/1.24 (define @t161 () (tptp.relation_of2 @t41 @t1 @t2)) % 1.02/1.24 (define @t162 () (= @t2 (tptp.set_meet @t1))) % 1.02/1.24 (define @t163 () (tptp.in @t41 @t76)) % 1.02/1.24 (define @t164 () (tptp.in @t76 @t1)) % 1.02/1.24 (define @t165 () (not @t142)) % 1.02/1.24 (define @t166 () (tptp.empty @t57)) % 1.02/1.24 (define @t167 () (tptp.one_sorted_str @t1)) % 1.02/1.24 (define @t168 () (tptp.subset_complement @t57 @t2)) % 1.02/1.24 (define @t169 () (tptp.interior @t1 @t2)) % 1.02/1.24 (define @t170 () (tptp.open_subset @t41 @t1)) % 1.02/1.24 (define @t171 () (tptp.open_subsets @t2 @t1)) % 1.02/1.24 (define @t172 () (= @t76 @t2)) % 1.02/1.24 (define @t173 () (tptp.subset @t41 @t76)) % 1.02/1.24 (define @t174 () (tptp.relation_field @t2)) % 1.02/1.24 (define @t175 () (tptp.inclusion_relation @t1)) % 1.02/1.24 (define @t176 () (tptp.set_meet @t2)) % 1.02/1.24 (define @t177 () (not @t143)) % 1.02/1.24 (define @t178 () (tptp.the_L_meet @t1)) % 1.02/1.24 (define @t179 () (tptp.meet @t1 @t2 @t41)) % 1.02/1.24 (define @t180 () (= @t2 @t76)) % 1.02/1.24 (define @t181 () (tptp.empty_carrier_subset @t1)) % 1.02/1.24 (define @t182 () (tptp.in @t79 @t1)) % 1.02/1.24 (define @t183 () (tptp.empty @t2)) % 1.02/1.24 (define @t184 () (not @t22)) % 1.02/1.24 (define @t185 () (forall @t106 (=> @t115 (=> @t159 (tptp.closed_subset @t41 @t1))))) % 1.02/1.24 (define @t186 () (tptp.closed_subsets @t2 @t1)) % 1.02/1.24 (define @t187 () (tptp.well_founded_relation @t1)) % 1.02/1.24 (define @t188 () (@var "F" $$unsorted)) % 1.02/1.24 (define @t189 () (tptp.ordered_pair @t88 @t188)) % 1.02/1.24 (define @t190 () (tptp.in @t188 @t2)) % 1.02/1.24 (define @t191 () (@list @t88 @t188)) % 1.02/1.24 (define @t192 () (tptp.subset @t41 @t2)) % 1.02/1.24 (define @t193 () (tptp.element @t41 @t157)) % 1.02/1.24 (define @t194 () (tptp.is_a_cover_of_carrier @t1 @t2)) % 1.02/1.24 (define @t195 () (tptp.compact_top_space @t1)) % 1.02/1.24 (define @t196 () (tptp.below @t1 @t2 @t41)) % 1.02/1.24 (define @t197 () (not @t159)) % 1.02/1.24 (define @t198 () (not @t149)) % 1.02/1.24 (define @t199 () (tptp.in @t2 @t41)) % 1.02/1.24 (define @t200 () (tptp.cast_as_carrier_subset @t1)) % 1.02/1.24 (define @t201 () (forall @t106 (=> @t78 @t159))) % 1.02/1.24 (define @t202 () (not @t140)) % 1.02/1.24 (define @t203 () (tptp.is_well_founded_in @t1 @t2)) % 1.02/1.24 (define @t204 () (tptp.apply @t1 @t2)) % 1.02/1.24 (define @t205 () (= @t41 @t204)) % 1.02/1.24 (define @t206 () (tptp.in @t2 @t97)) % 1.02/1.24 (define @t207 () (tptp.in (tptp.ordered_pair @t76 @t41) @t1)) % 1.02/1.24 (define @t208 () (tptp.is_antisymmetric_in @t1 @t2)) % 1.02/1.24 (define @t209 () (tptp.cast_to_subset @t1)) % 1.02/1.24 (define @t210 () (tptp.union @t1)) % 1.02/1.24 (define @t211 () (tptp.reflexive @t1)) % 1.02/1.24 (define @t212 () (tptp.well_ordering @t1)) % 1.02/1.24 (define @t213 () (tptp.relation_rng @t41)) % 1.02/1.24 (define @t214 () (tptp.relation_dom @t41)) % 1.02/1.24 (define @t215 () (= @t214 @t1)) % 1.02/1.24 (define @t216 () (tptp.one_to_one @t41)) % 1.02/1.24 (define @t217 () (tptp.function @t41)) % 1.02/1.24 (define @t218 () (tptp.equipotent @t1 @t2)) % 1.02/1.24 (define @t219 () (tptp.set_difference @t1 @t2)) % 1.02/1.24 (define @t220 () (and @t110 (= @t41 @t109))) % 1.02/1.24 (define @t221 () (tptp.relation_rng @t1)) % 1.02/1.24 (define @t222 () (= @t2 @t221)) % 1.02/1.24 (define @t223 () (tptp.the_InternalRel @t1)) % 1.02/1.24 (define @t224 () (tptp.transitive_relstr @t1)) % 1.02/1.24 (define @t225 () (tptp.rel_str @t1)) % 1.02/1.24 (define @t226 () (tptp.being_limit_ordinal @t1)) % 1.02/1.24 (define @t227 () (tptp.open_subset @t2 @t1)) % 1.02/1.24 (define @t228 () (tptp.subset_complement @t1 @t2)) % 1.02/1.24 (define @t229 () (tptp.ordered_pair @t1 @t2)) % 1.02/1.24 (define @t230 () (tptp.is_connected_in @t1 @t2)) % 1.02/1.24 (define @t231 () (tptp.is_transitive_in @t1 @t2)) % 1.02/1.24 (define @t232 () (tptp.antisymmetric_relstr @t1)) % 1.02/1.24 (define @t233 () (tptp.subset_difference @t57 @t200 @t2)) % 1.02/1.24 (define @t234 () (tptp.closed_subset @t2 @t1)) % 1.02/1.24 (define @t235 () (tptp.cartesian_product2 @t2 @t2)) % 1.02/1.24 (define @t236 () (tptp.relation_restriction @t1 @t2)) % 1.02/1.24 (define @t237 () (tptp.relation_inverse @t1)) % 1.02/1.24 (define @t238 () (tptp.apply @t41 @t88)) % 1.02/1.24 (define @t239 () (tptp.apply @t41 @t76)) % 1.02/1.24 (define @t240 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 1.02/1.24 (define @t241 () (and @t42 @t217)) % 1.02/1.24 (define @t242 () (tptp.disjoint @t1 @t2)) % 1.02/1.24 (define @t243 () (tptp.meet_absorbing @t1)) % 1.02/1.24 (define @t244 () (tptp.latt_str @t1)) % 1.02/1.24 (define @t245 () (@list @t188)) % 1.02/1.24 (define @t246 () (tptp.relation_composition @t1 @t2)) % 1.02/1.24 (define @t247 () (@list @t41 @t76 @t88)) % 1.02/1.24 (define @t248 () (tptp.complements_of_subsets @t1 @t2)) % 1.02/1.24 (define @t249 () (tptp.powerset @t24)) % 1.02/1.24 (define @t250 () (tptp.element @t2 @t249)) % 1.02/1.24 (define @t251 () (not @t87)) % 1.02/1.24 (define @t252 () (tptp.function_inverse @t1)) % 1.02/1.24 (define @t253 () (tptp.related @t1 @t2 @t41)) % 1.02/1.24 (define @t254 () (and @t117 @t116)) % 1.02/1.24 (define @t255 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t76 @t88 @t188)) % 1.02/1.24 (define @t256 () (tptp.function @t76)) % 1.02/1.24 (define @t257 () (not @t183)) % 1.02/1.24 (define @t258 () (and @t184 @t257 @t256 (tptp.quasi_total @t76 @t43 @t41) (tptp.relation_of2 @t76 @t43 @t41) (tptp.element @t88 @t1) (tptp.element @t188 @t2))) % 1.02/1.24 (define @t259 () (@list @t1 @t2 @t41 @t76 @t88 @t188)) % 1.02/1.24 (define @t260 () (tptp.relation @t237)) % 1.02/1.24 (define @t261 () (tptp.relation @t246)) % 1.02/1.24 (define @t262 () (and @t40 @t84)) % 1.02/1.24 (define @t263 () (tptp.powerset @t2)) % 1.02/1.24 (define @t264 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 1.02/1.24 (define @t265 () (tptp.union_of_subsets @t1 @t2)) % 1.02/1.24 (define @t266 () (tptp.relation @t82)) % 1.02/1.24 (define @t267 () (tptp.meet_of_subsets @t1 @t2)) % 1.02/1.24 (define @t268 () (tptp.subset_difference @t1 @t2 @t41)) % 1.02/1.24 (define @t269 () (tptp.relation @t94)) % 1.02/1.24 (define @t270 () (tptp.relation @t105)) % 1.02/1.24 (define @t271 () (and @t63 @t127 @t117 @t59)) % 1.02/1.24 (define @t272 () (tptp.cartesian_product2 @t57 @t57)) % 1.02/1.24 (define @t273 () (tptp.finite @t66)) % 1.02/1.24 (define @t274 () (tptp.relation_composition @t2 @t1)) % 1.02/1.24 (define @t275 () (and @t22 @t84)) % 1.02/1.24 (define @t276 () (tptp.relation_empty_yielding tptp.empty_set)) % 1.02/1.24 (define @t277 () (tptp.relation tptp.empty_set)) % 1.02/1.24 (define @t278 () (tptp.empty tptp.empty_set)) % 1.02/1.24 (define @t279 () (tptp.relation_empty_yielding @t1)) % 1.02/1.24 (define @t280 () (and @t40 @t279)) % 1.02/1.24 (define @t281 () (not (tptp.empty @t152))) % 1.02/1.24 (define @t282 () (not (tptp.empty @t24))) % 1.02/1.24 (define @t283 () (not (tptp.empty @t153))) % 1.02/1.24 (define @t284 () (and @t63 @t167)) % 1.02/1.24 (define @t285 () (tptp.v1_membered @t66)) % 1.02/1.24 (define @t286 () (tptp.v1_membered @t65)) % 1.02/1.24 (define @t287 () (tptp.v2_membered @t66)) % 1.02/1.24 (define @t288 () (tptp.ordinal @t153)) % 1.02/1.24 (define @t289 () (tptp.epsilon_connected @t153)) % 1.02/1.24 (define @t290 () (tptp.epsilon_transitive @t153)) % 1.02/1.24 (define @t291 () (and @t127 @t117 @t116)) % 1.02/1.24 (define @t292 () (tptp.v2_membered @t65)) % 1.02/1.24 (define @t293 () (tptp.v3_membered @t66)) % 1.02/1.24 (define @t294 () (tptp.v3_membered @t65)) % 1.02/1.24 (define @t295 () (tptp.v4_membered @t66)) % 1.02/1.24 (define @t296 () (tptp.v4_membered @t65)) % 1.02/1.24 (define @t297 () (tptp.v1_membered @t219)) % 1.02/1.24 (define @t298 () (tptp.v2_membered @t219)) % 1.02/1.24 (define @t299 () (tptp.v3_membered @t219)) % 1.02/1.24 (define @t300 () (tptp.open_subset @t168 @t1)) % 1.02/1.24 (define @t301 () (tptp.v4_membered @t219)) % 1.02/1.24 (define @t302 () (tptp.closed_subset @t168 @t1)) % 1.02/1.24 (define @t303 () (and @t84 @t135)) % 1.02/1.24 (define @t304 () (and @t127 @t117)) % 1.02/1.24 (define @t305 () (tptp.empty @t97)) % 1.02/1.24 (define @t306 () (and @t184 @t40)) % 1.02/1.24 (define @t307 () (tptp.empty @t221)) % 1.02/1.24 (define @t308 () (tptp.open_subset @t169 @t1)) % 1.02/1.24 (define @t309 () (tptp.in @t2 @t107)) % 1.02/1.24 (define @t310 () (tptp.disjoint @t152 @t2)) % 1.02/1.24 (define @t311 () (not @t5)) % 1.02/1.24 (define @t312 () (tptp.well_ordering @t2)) % 1.02/1.24 (define @t313 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 1.02/1.24 (define @t314 () (tptp.singleton @t41)) % 1.02/1.24 (define @t315 () (not @t138)) % 1.02/1.24 (define @t316 () (tptp.singleton @t2)) % 1.02/1.24 (define @t317 () (tptp.union @t2)) % 1.02/1.24 (define @t318 () (tptp.in @t1 @t41)) % 1.02/1.24 (define @t319 () (tptp.element @t1 @t263)) % 1.02/1.24 (define @t320 () (tptp.relation_dom_restriction @t41 @t1)) % 1.02/1.24 (define @t321 () (tptp.in @t2 (tptp.relation_dom @t320))) % 1.02/1.24 (define @t322 () (tptp.one_to_one @t2)) % 1.02/1.24 (define @t323 () (tptp.set_intersection2 @t2 @t41)) % 1.02/1.24 (define @t324 () (tptp.set_difference @t2 @t41)) % 1.02/1.24 (define @t325 () (@var "K" $$unsorted)) % 1.02/1.24 (define @t326 () (@var "J" $$unsorted)) % 1.02/1.24 (define @t327 () (tptp.in @t325 @t326)) % 1.02/1.24 (define @t328 () (@list @t325)) % 1.02/1.24 (define @t329 () (@list @t326)) % 1.02/1.24 (define @t330 () (= @t76 @t88)) % 1.02/1.24 (define @t331 () (@var "I" $$unsorted)) % 1.02/1.24 (define @t332 () (@var "H" $$unsorted)) % 1.02/1.24 (define @t333 () (tptp.in @t331 @t332)) % 1.02/1.24 (define @t334 () (@list @t331)) % 1.02/1.24 (define @t335 () (@list @t332)) % 1.02/1.24 (define @t336 () (exists @t335 (and (= @t41 @t332) (tptp.in @t88 @t332) (forall @t334 (=> @t333 (tptp.in (tptp.ordered_pair @t88 @t331) @t2)))))) % 1.02/1.24 (define @t337 () (@var "G" $$unsorted)) % 1.02/1.24 (define @t338 () (tptp.in @t337 @t188)) % 1.02/1.24 (define @t339 () (@list @t337)) % 1.02/1.24 (define @t340 () (exists @t245 (and (= @t41 @t188) (tptp.in @t76 @t188) (forall @t339 (=> @t338 (tptp.in (tptp.ordered_pair @t76 @t337) @t2)))))) % 1.02/1.24 (define @t341 () (forall @t247 (=> (and @t78 @t340 @t78 @t336) @t330))) % 1.02/1.24 (define @t342 () (and @t184 @t84)) % 1.02/1.24 (define @t343 () (= @t76 @t316)) % 1.02/1.24 (define @t344 () (= @t41 @t316)) % 1.02/1.24 (define @t345 () (forall @t139 (=> (and @t3 @t344 @t3 @t343) @t77))) % 1.02/1.24 (define @t346 () (tptp.subset_complement @t57 @t332)) % 1.02/1.24 (define @t347 () (= @t332 @t76)) % 1.02/1.24 (define @t348 () (tptp.element @t332 @t112)) % 1.02/1.24 (define @t349 () (forall @t335 (=> @t348 (=> @t347 (= @t88 @t346))))) % 1.02/1.24 (define @t350 () (tptp.complements_of_subsets @t57 @t2)) % 1.02/1.24 (define @t351 () (tptp.in @t76 @t350)) % 1.02/1.24 (define @t352 () (tptp.element @t337 @t112)) % 1.02/1.24 (define @t353 () (forall @t339 (=> @t352 (=> (= @t337 @t41) (= @t88 (tptp.subset_complement @t57 @t337)))))) % 1.02/1.24 (define @t354 () (tptp.in @t41 @t350)) % 1.02/1.24 (define @t355 () (tptp.element @t188 @t112)) % 1.02/1.24 (define @t356 () (forall @t245 (=> @t355 (=> (= @t188 @t41) (= @t76 (tptp.subset_complement @t57 @t188)))))) % 1.02/1.24 (define @t357 () (forall @t247 (=> (and @t354 @t356 @t354 @t353) @t330))) % 1.02/1.24 (define @t358 () (and @t167 @t158)) % 1.02/1.24 (define @t359 () (forall @t247 (=> (and @t159 @t356 @t159 @t353) @t330))) % 1.02/1.24 (define @t360 () (tptp.ordinal @t41)) % 1.02/1.24 (define @t361 () (@var "S" $$unsorted)) % 1.02/1.24 (define @t362 () (@var "T" $$unsorted)) % 1.02/1.24 (define @t363 () (@var "R" $$unsorted)) % 1.02/1.24 (define @t364 () (tptp.powerset (tptp.powerset @t76))) % 1.02/1.24 (define @t365 () (@list @t363)) % 1.02/1.24 (define @t366 () (tptp.in @t76 tptp.omega)) % 1.02/1.24 (define @t367 () (tptp.ordinal @t76)) % 1.02/1.24 (define @t368 () (@var "P" $$unsorted)) % 1.02/1.24 (define @t369 () (@var "Q" $$unsorted)) % 1.02/1.24 (define @t370 () (@var "O" $$unsorted)) % 1.02/1.24 (define @t371 () (@list @t369)) % 1.02/1.24 (define @t372 () (@list @t368)) % 1.02/1.24 (define @t373 () (@list @t370)) % 1.02/1.24 (define @t374 () (@var "M" $$unsorted)) % 1.02/1.24 (define @t375 () (@var "N" $$unsorted)) % 1.02/1.24 (define @t376 () (@var "L" $$unsorted)) % 1.02/1.24 (define @t377 () (@list @t375)) % 1.02/1.24 (define @t378 () (tptp.in @t374 @t376)) % 1.02/1.24 (define @t379 () (@list @t374)) % 1.02/1.24 (define @t380 () (@list @t376)) % 1.02/1.24 (define @t381 () (tptp.succ @t76)) % 1.02/1.24 (define @t382 () (=> @t366 (forall @t98 (=> (tptp.element @t88 @t364) (not (and (not (= @t88 tptp.empty_set)) (forall @t245 (not (and (tptp.in @t188 @t88) (forall @t339 (=> (and (tptp.in @t337 @t88) (tptp.subset @t188 @t337)) (= @t337 @t188)))))))))))) % 1.02/1.24 (define @t383 () (tptp.subset @t2 @t41)) % 1.02/1.24 (define @t384 () (tptp.powerset tptp.empty_set)) % 1.02/1.24 (define @t385 () (tptp.apply @t41 @t188)) % 1.02/1.24 (define @t386 () (tptp.in @t188 @t1)) % 1.02/1.24 (define @t387 () (tptp.relation @t76)) % 1.02/1.24 (define @t388 () (and @t84 @t42 @t217)) % 1.02/1.24 (define @t389 () (forall @t328 (=> @t327 (tptp.in (tptp.ordered_pair @t76 @t325) @t2)))) % 1.02/1.24 (define @t390 () (tptp.in @t76 @t326)) % 1.02/1.24 (define @t391 () (= @t188 @t88)) % 1.02/1.24 (define @t392 () (tptp.cartesian_product2 @t1 @t41)) % 1.02/1.24 (define @t393 () (= @t88 @t188)) % 1.02/1.24 (define @t394 () (tptp.ordered_pair @t325 @t376)) % 1.02/1.24 (define @t395 () (@list @t325 @t376)) % 1.02/1.24 (define @t396 () (= @t76 @t188)) % 1.02/1.24 (define @t397 () (tptp.in @t326 @t331)) % 1.02/1.24 (define @t398 () (tptp.in @t337 @t1)) % 1.02/1.24 (define @t399 () (tptp.ordered_pair @t337 @t332)) % 1.02/1.24 (define @t400 () (= @t399 @t88)) % 1.02/1.24 (define @t401 () (@list @t337 @t332)) % 1.02/1.24 (define @t402 () (@list @t76 @t88 @t188)) % 1.02/1.24 (define @t403 () (tptp.ordered_pair @t326 @t325)) % 1.02/1.24 (define @t404 () (@list @t326 @t325)) % 1.02/1.24 (define @t405 () (= @t88 @t76)) % 1.02/1.24 (define @t406 () (tptp.in @t332 @t1)) % 1.02/1.24 (define @t407 () (= @t41 @t88)) % 1.02/1.24 (define @t408 () (tptp.ordered_pair @t188 @t337)) % 1.02/1.24 (define @t409 () (@list @t188 @t337)) % 1.02/1.24 (define @t410 () (= @t76 @t41)) % 1.02/1.24 (define @t411 () (not (and (not (= @t188 tptp.empty_set)) (forall @t339 (not (and @t338 (forall @t335 (=> (and (tptp.in @t332 @t188) (tptp.subset @t337 @t332)) (= @t332 @t337))))))))) % 1.02/1.24 (define @t412 () (tptp.ordinal @t88)) % 1.02/1.24 (define @t413 () (tptp.subset @t2 @t76)) % 1.02/1.24 (define @t414 () (tptp.in @t88 @t112)) % 1.02/1.24 (define @t415 () (tptp.in (tptp.set_difference @t200 @t76) @t2)) % 1.02/1.24 (define @t416 () (and @t127 @t117 @t158)) % 1.02/1.24 (define @t417 () (tptp.in @t337 @t2)) % 1.02/1.24 (define @t418 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t153))))) % 1.02/1.24 (define @t419 () (= @t76 @t346)) % 1.02/1.24 (define @t420 () (forall @t335 (=> @t348 (=> (= @t332 @t88) @t419)))) % 1.02/1.24 (define @t421 () (tptp.in @t88 @t350)) % 1.02/1.24 (define @t422 () (forall @t373 (=> (tptp.element @t370 @t112) (=> (= @t370 @t374) (= @t375 (tptp.subset_complement @t57 @t370)))))) % 1.02/1.24 (define @t423 () (= (tptp.ordered_pair @t374 @t375) @t88)) % 1.02/1.24 (define @t424 () (@list @t374 @t375)) % 1.02/1.24 (define @t425 () (tptp.cartesian_product2 @t350 @t41)) % 1.02/1.24 (define @t426 () (forall @t380 (=> (tptp.element @t376 @t112) (=> (= @t376 @t326) (= @t325 (tptp.subset_complement @t57 @t376)))))) % 1.02/1.24 (define @t427 () (= @t403 @t188)) % 1.02/1.24 (define @t428 () (tptp.subset_complement @t57 @t331)) % 1.02/1.24 (define @t429 () (tptp.element @t331 @t112)) % 1.02/1.24 (define @t430 () (forall @t334 (=> @t429 (=> (= @t331 @t337) (= @t332 @t428))))) % 1.02/1.24 (define @t431 () (tptp.cartesian_product2 @t2 @t41)) % 1.02/1.24 (define @t432 () (tptp.cartesian_product2 @t1 @t1)) % 1.02/1.24 (define @t433 () (tptp.apply @t41 @t337)) % 1.02/1.24 (define @t434 () (tptp.in (tptp.relation_image @t41 @t88) @t2)) % 1.02/1.24 (define @t435 () (tptp.powerset @t214)) % 1.02/1.24 (define @t436 () (and @t250 @t42 @t217)) % 1.02/1.24 (define @t437 () (tptp.succ @t2)) % 1.02/1.24 (define @t438 () (= @t408 @t88)) % 1.02/1.24 (define @t439 () (exists @t98 (and @t113 @t405 (tptp.closed_subset @t88 @t1) @t413))) % 1.02/1.24 (define @t440 () (tptp.in @t76 @t112)) % 1.02/1.24 (define @t441 () (forall @t335 (=> @t348 (=> (= @t332 @t188) (= @t337 @t346))))) % 1.02/1.24 (define @t442 () (tptp.apply @t2 @t41)) % 1.02/1.24 (define @t443 () (= @t133 @t1)) % 1.02/1.24 (define @t444 () (exists @t11 (and @t84 @t135 @t443 (forall @t106 (=> @t78 (= @t442 @t314)))))) % 1.02/1.24 (define @t445 () (forall @t334 (=> @t429 (=> (= @t331 @t76) (= @t239 @t428))))) % 1.02/1.24 (define @t446 () (forall @t100 (not (forall @t335 (=> @t348 (=> (= @t332 @t41) @t419)))))) % 1.02/1.24 (define @t447 () (tptp.in @t1 tptp.omega)) % 1.02/1.24 (define @t448 () (tptp.element @t76 @t112)) % 1.02/1.24 (define @t449 () (= @t248 tptp.empty_set)) % 1.02/1.24 (define @t450 () (not (and @t177 @t449))) % 1.02/1.24 (define @t451 () (= @t1 @t41)) % 1.02/1.24 (define @t452 () (tptp.relation_rng @t105)) % 1.02/1.24 (define @t453 () (tptp.meet_of_subsets @t1 @t248)) % 1.02/1.24 (define @t454 () (tptp.union_of_subsets @t1 @t248)) % 1.02/1.24 (define @t455 () (forall @t106 (not (and @t192 (not (tptp.are_equipotent @t41 @t2)) @t197)))) % 1.02/1.24 (define @t456 () (tptp.powerset @t41)) % 1.02/1.24 (define @t457 () (forall @t81 (=> (and @t159 (tptp.subset @t76 @t41)) @t91))) % 1.02/1.24 (define @t458 () (tptp.meet_of_subsets @t57 @t2)) % 1.02/1.24 (define @t459 () (tptp.relation_dom_restriction @t41 @t2)) % 1.02/1.24 (define @t460 () (tptp.relation_image @t2 @t1)) % 1.02/1.24 (define @t461 () (tptp.relation_inverse_image @t2 @t1)) % 1.02/1.24 (define @t462 () (tptp.relation_image @t2 @t461)) % 1.02/1.24 (define @t463 () (tptp.set_intersection2 @t133 @t1)) % 1.02/1.24 (define @t464 () (tptp.subset @t1 @t134)) % 1.02/1.24 (define @t465 () (tptp.relation_of2_as_subset @t76 @t41 @t2)) % 1.02/1.24 (define @t466 () (tptp.relation_rng @t76)) % 1.02/1.24 (define @t467 () (tptp.relation_of2_as_subset @t76 @t41 @t1)) % 1.02/1.24 (define @t468 () (tptp.relation_rng @t246)) % 1.02/1.24 (define @t469 () (tptp.relation_inverse_image @t41 @t2)) % 1.02/1.24 (define @t470 () (tptp.relation_restriction @t41 @t2)) % 1.02/1.24 (define @t471 () (tptp.relation_restriction @t2 @t1)) % 1.02/1.24 (define @t472 () (tptp.relation_dom_restriction @t2 @t1)) % 1.02/1.24 (define @t473 () (tptp.relation_field @t41)) % 1.02/1.24 (define @t474 () (tptp.in @t1 @t473)) % 1.02/1.24 (define @t475 () (tptp.subset @t1 @t41)) % 1.02/1.24 (define @t476 () (tptp.element @t1 @t2)) % 1.02/1.24 (define @t477 () (tptp.in @t1 @t214)) % 1.02/1.24 (define @t478 () (tptp.in @t229 @t41)) % 1.02/1.24 (define @t479 () (tptp.relation_field @t471)) % 1.02/1.24 (define @t480 () (tptp.apply @t41 @t1)) % 1.02/1.24 (define @t481 () (tptp.relation_composition @t41 @t2)) % 1.02/1.24 (define @t482 () (tptp.in @t1 (tptp.relation_dom @t481))) % 1.02/1.24 (define @t483 () (tptp.apply @t76 @t41)) % 1.02/1.24 (define @t484 () (and @t256 (tptp.quasi_total @t76 @t1 @t2) (tptp.relation_of2_as_subset @t76 @t1 @t2))) % 1.02/1.24 (define @t485 () (tptp.reflexive @t2)) % 1.02/1.24 (define @t486 () (tptp.connected @t2)) % 1.02/1.24 (define @t487 () (tptp.transitive @t2)) % 1.02/1.24 (define @t488 () (tptp.antisymmetric @t2)) % 1.02/1.24 (define @t489 () (tptp.well_ordering @t471)) % 1.02/1.24 (define @t490 () (= @t479 @t1)) % 1.02/1.24 (define @t491 () (tptp.well_orders @t2 @t1)) % 1.02/1.24 (define @t492 () (tptp.well_founded_relation @t2)) % 1.02/1.24 (define @t493 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 1.02/1.24 (define @t494 () (and @t78 @t159)) % 1.02/1.24 (define @t495 () (not @t242)) % 1.02/1.24 (define @t496 () (= @t1 @t437)) % 1.02/1.24 (define @t497 () (tptp.subset_complement @t1 @t41)) % 1.02/1.24 (define @t498 () (tptp.disjoint @t2 @t41)) % 1.02/1.24 (define @t499 () (tptp.relation_dom @t246)) % 1.02/1.24 (define @t500 () (and (tptp.closed_subset @t76 @t1) @t413)) % 1.02/1.24 (define @t501 () (tptp.element @t2 @t456)) % 1.02/1.24 (define @t502 () (tptp.in @t41 @t66)) % 1.02/1.24 (define @t503 () (= @t114 @t2)) % 1.02/1.24 (define @t504 () (and (tptp.in @t41 @t221) (= @t76 @t442))) % 1.02/1.24 (define @t505 () (=> (= @t121 @t41) @t170)) % 1.02/1.24 (define @t506 () (tptp.interior @t2 @t76)) % 1.02/1.24 (define @t507 () (tptp.open_subset @t76 @t2)) % 1.02/1.24 (define @t508 () (=> @t507 (= @t506 @t76))) % 1.02/1.24 (define @t509 () (and @t508 @t505)) % 1.02/1.24 (define @t510 () (tptp.powerset (tptp.the_carrier @t2))) % 1.02/1.24 (define @t511 () (tptp.element @t76 @t510)) % 1.02/1.24 (define @t512 () (=> @t511 @t509)) % 1.02/1.24 (define @t513 () (forall @t100 @t512)) % 1.02/1.24 (define @t514 () (=> @t115 @t513)) % 1.02/1.24 (define @t515 () (forall @t106 @t514)) % 1.02/1.24 (define @t516 () (tptp.top_str @t2)) % 1.02/1.24 (define @t517 () (=> @t516 @t515)) % 1.02/1.24 (define @t518 () (forall @t11 @t517)) % 1.02/1.24 (define @t519 () (=> @t304 @t518)) % 1.02/1.24 (define @t520 () (forall @t13 @t519)) % 1.02/1.24 (define @t521 () (tptp.function_inverse @t2)) % 1.02/1.24 (define @t522 () (tptp.point_neighbourhood @t2 @t1 @t41)) % 1.02/1.24 (define @t523 () (and @t227 @t159)) % 1.02/1.24 (define @t524 () (=> @t523 @t522)) % 1.02/1.24 (define @t525 () (forall @t106 (=> @t58 @t524))) % 1.02/1.24 (define @t526 () (=> @t116 @t525)) % 1.02/1.24 (define @t527 () (forall @t11 @t526)) % 1.02/1.24 (define @t528 () (=> @t128 @t527)) % 1.02/1.24 (define @t529 () (forall @t13 @t528)) % 1.02/1.24 (define @t530 () (not @t529)) % 1.02/1.24 (define @t531 () (= @t221 tptp.empty_set)) % 1.02/1.24 (define @t532 () (= @t97 tptp.empty_set)) % 1.02/1.24 (define @t533 () (= (tptp.apply @t320 @t2) (tptp.apply @t41 @t2))) % 1.02/1.24 (define @t534 () (= @t152 (tptp.unordered_pair @t2 @t41))) % 1.02/1.24 (define @t535 () (@var "BOUND_VARIABLE_19244" $$unsorted)) % 1.02/1.24 (define @t536 () (@var "BOUND_VARIABLE_19242" $$unsorted)) % 1.02/1.24 (define @t537 () (tptp.point_neighbourhood @t536 @t1 @t535)) % 1.02/1.24 (define @t538 () (not (tptp.in @t535 @t536))) % 1.02/1.24 (define @t539 () (not (tptp.element @t535 @t57))) % 1.02/1.24 (define @t540 () (not (tptp.open_subset @t536 @t1))) % 1.02/1.24 (define @t541 () (not (tptp.element @t536 @t112))) % 1.02/1.24 (define @t542 () (not @t117)) % 1.02/1.24 (define @t543 () (not @t127)) % 1.02/1.24 (define @t544 () (or @t62 @t543 @t542 @t541 @t540 @t539 @t538 @t537)) % 1.02/1.24 (define @t545 () (or @t541 @t540 @t539 @t538 @t537)) % 1.02/1.24 (define @t546 () (or @t62 @t543 @t542 @t545)) % 1.02/1.24 (define @t547 () (@list @t1 @t536 @t535)) % 1.02/1.24 (define @t548 () (forall @t547 @t546)) % 1.02/1.24 (define @t549 () (@list @t536 @t535)) % 1.02/1.24 (define @t550 () (forall @t549 @t546)) % 1.02/1.24 (define @t551 () (forall @t549 @t545)) % 1.02/1.24 (define @t552 () (@var "BOUND_VARIABLE_19225" $$unsorted)) % 1.02/1.24 (define @t553 () (or @t62 @t543 @t542 @t551)) % 1.02/1.24 (define @t554 () (tptp.point_neighbourhood @t2 @t1 @t552)) % 1.02/1.24 (define @t555 () (not (tptp.in @t552 @t2))) % 1.02/1.24 (define @t556 () (not (tptp.element @t552 @t57))) % 1.02/1.24 (define @t557 () (not @t227)) % 1.02/1.24 (define @t558 () (not @t116)) % 1.02/1.24 (define @t559 () (or @t558 @t557 @t556 @t555 @t554)) % 1.02/1.24 (define @t560 () (@list @t2 @t552)) % 1.02/1.24 (define @t561 () (forall @t560 @t559)) % 1.02/1.24 (define @t562 () (or @t62 @t543 @t542 @t561)) % 1.02/1.24 (define @t563 () (or @t62 @t543 @t542)) % 1.02/1.24 (define @t564 () (not @t63)) % 1.02/1.24 (define @t565 () (or @t564 @t543 @t542)) % 1.02/1.24 (define @t566 () (or @t543 @t542)) % 1.02/1.24 (define @t567 () (not @t304)) % 1.02/1.24 (define @t568 () (not @t128)) % 1.02/1.24 (define @t569 () (or @t556 @t555 @t554)) % 1.02/1.24 (define @t570 () (or @t558 @t557 @t569)) % 1.02/1.24 (define @t571 () (forall @t560 @t570)) % 1.02/1.24 (define @t572 () (@list @t552)) % 1.02/1.24 (define @t573 () (forall @t572 @t570)) % 1.02/1.24 (define @t574 () (forall @t572 @t569)) % 1.02/1.24 (define @t575 () (@list @t41)) % 1.02/1.24 (define @t576 () (or @t558 @t557 @t574)) % 1.02/1.24 (define @t577 () (not @t58)) % 1.02/1.24 (define @t578 () (or @t577 @t197 @t522)) % 1.02/1.24 (define @t579 () (forall @t106 @t578)) % 1.02/1.24 (define @t580 () (or @t558 @t557 @t579)) % 1.02/1.24 (define @t581 () (or @t557 @t579)) % 1.02/1.24 (define @t582 () (or @t557 @t578)) % 1.02/1.24 (define @t583 () (or @t577 @t557 @t197 @t522)) % 1.02/1.24 (define @t584 () (or @t557 @t197 @t522)) % 1.02/1.24 (define @t585 () (forall @t547 @t544)) % 1.02/1.24 (define @t586 () (@quantifiers_skolemize @t585 1)) % 1.02/1.24 (define @t587 () (@quantifiers_skolemize @t585 2)) % 1.02/1.24 (define @t588 () (tptp.in @t587 @t586)) % 1.02/1.24 (define @t589 () (@quantifiers_skolemize @t585 0)) % 1.02/1.24 (define @t590 () (tptp.point_neighbourhood @t586 @t589 @t587)) % 1.02/1.24 (define @t591 () (not @t588)) % 1.02/1.24 (define @t592 () (tptp.the_carrier @t589)) % 1.02/1.24 (define @t593 () (tptp.element @t587 @t592)) % 1.02/1.24 (define @t594 () (not @t593)) % 1.02/1.24 (define @t595 () (tptp.open_subset @t586 @t589)) % 1.02/1.24 (define @t596 () (not @t595)) % 1.02/1.24 (define @t597 () (tptp.element @t586 (tptp.powerset @t592))) % 1.02/1.24 (define @t598 () (not @t597)) % 1.02/1.24 (define @t599 () (tptp.top_str @t589)) % 1.02/1.24 (define @t600 () (not @t599)) % 1.02/1.24 (define @t601 () (tptp.topological_space @t589)) % 1.02/1.24 (define @t602 () (not @t601)) % 1.02/1.24 (define @t603 () (tptp.empty_carrier @t589)) % 1.02/1.24 (define @t604 () (or @t603 @t602 @t600 @t598 @t596 @t594 @t591 @t590)) % 1.02/1.24 (define @t605 () (@list true)) % 1.02/1.24 (define @t606 () (@list @t604)) % 1.02/1.24 (define @t607 () (@var "BOUND_VARIABLE_19171" $$unsorted)) % 1.02/1.24 (define @t608 () (@var "BOUND_VARIABLE_19173" $$unsorted)) % 1.02/1.24 (define @t609 () (@var "BOUND_VARIABLE_19169" $$unsorted)) % 1.02/1.24 (define @t610 () (and (or (not (tptp.open_subset @t608 @t609)) (= @t608 (tptp.interior @t609 @t608))) (or (not (= @t607 (tptp.interior @t1 @t607))) (tptp.open_subset @t607 @t1)))) % 1.02/1.24 (define @t611 () (not (tptp.element @t608 (tptp.powerset (tptp.the_carrier @t609))))) % 1.02/1.24 (define @t612 () (not (tptp.element @t607 @t112))) % 1.02/1.24 (define @t613 () (not (tptp.top_str @t609))) % 1.02/1.24 (define @t614 () (or @t613 @t612 @t611 @t610)) % 1.02/1.24 (define @t615 () (or @t543 @t542 @t614)) % 1.02/1.24 (define @t616 () (forall (@list @t1 @t609 @t607 @t608) @t615)) % 1.02/1.24 (define @t617 () (@list @t609 @t607 @t608)) % 1.02/1.24 (define @t618 () (forall @t617 @t615)) % 1.02/1.24 (define @t619 () (forall @t617 @t614)) % 1.02/1.24 (define @t620 () (@var "BOUND_VARIABLE_19142" $$unsorted)) % 1.02/1.24 (define @t621 () (@var "BOUND_VARIABLE_19140" $$unsorted)) % 1.02/1.24 (define @t622 () (or @t543 @t542 @t619)) % 1.02/1.24 (define @t623 () (and (or (not (tptp.open_subset @t620 @t2)) (= @t620 (tptp.interior @t2 @t620))) (or (not (= @t621 (tptp.interior @t1 @t621))) (tptp.open_subset @t621 @t1)))) % 1.02/1.24 (define @t624 () (not (tptp.element @t620 @t510))) % 1.02/1.24 (define @t625 () (not (tptp.element @t621 @t112))) % 1.02/1.24 (define @t626 () (not @t516)) % 1.02/1.24 (define @t627 () (or @t626 @t625 @t624 @t623)) % 1.02/1.24 (define @t628 () (@list @t2 @t621 @t620)) % 1.02/1.24 (define @t629 () (forall @t628 @t627)) % 1.02/1.24 (define @t630 () (or @t543 @t542 @t629)) % 1.02/1.24 (define @t631 () (or @t625 @t624 @t623)) % 1.02/1.24 (define @t632 () (or @t626 @t631)) % 1.02/1.24 (define @t633 () (forall @t628 @t632)) % 1.02/1.24 (define @t634 () (@list @t621 @t620)) % 1.02/1.24 (define @t635 () (forall @t634 @t632)) % 1.02/1.24 (define @t636 () (forall @t634 @t631)) % 1.02/1.24 (define @t637 () (@var "BOUND_VARIABLE_19119" $$unsorted)) % 1.02/1.24 (define @t638 () (or @t626 @t636)) % 1.02/1.24 (define @t639 () (= @t41 @t121)) % 1.02/1.24 (define @t640 () (or (not @t639) @t170)) % 1.02/1.24 (define @t641 () (and (or (not (tptp.open_subset @t637 @t2)) (= @t637 (tptp.interior @t2 @t637))) @t640)) % 1.02/1.24 (define @t642 () (not (tptp.element @t637 @t510))) % 1.02/1.24 (define @t643 () (not @t115)) % 1.02/1.24 (define @t644 () (or @t643 @t642 @t641)) % 1.02/1.24 (define @t645 () (@list @t41 @t637)) % 1.02/1.24 (define @t646 () (forall @t645 @t644)) % 1.02/1.24 (define @t647 () (or @t642 @t641)) % 1.02/1.24 (define @t648 () (or @t643 @t647)) % 1.02/1.24 (define @t649 () (forall @t645 @t648)) % 1.02/1.24 (define @t650 () (@list @t637)) % 1.02/1.24 (define @t651 () (forall @t650 @t648)) % 1.02/1.24 (define @t652 () (forall @t650 @t647)) % 1.02/1.24 (define @t653 () (or @t643 @t652)) % 1.02/1.24 (define @t654 () (= @t76 @t506)) % 1.02/1.24 (define @t655 () (not @t511)) % 1.02/1.24 (define @t656 () (forall @t100 (or @t655 (and (or (not @t507) @t654) @t640)))) % 1.02/1.24 (define @t657 () (and (=> @t507 @t654) (=> @t639 @t170))) % 1.02/1.24 (define @t658 () (tptp.interior @t589 @t586)) % 1.02/1.24 (define @t659 () (= @t586 @t658)) % 1.02/1.24 (define @t660 () (or @t596 @t659)) % 1.02/1.24 (define @t661 () (and @t660 (or (not @t659) @t595))) % 1.02/1.24 (define @t662 () (or @t602 @t600 @t600 @t598 @t598 @t661)) % 1.02/1.24 (define @t663 () (tptp.in @t587 @t658)) % 1.02/1.24 (define @t664 () (@var "BOUND_VARIABLE_11992" $$unsorted)) % 1.02/1.24 (define @t665 () (@var "BOUND_VARIABLE_11990" $$unsorted)) % 1.02/1.24 (define @t666 () (= (tptp.point_neighbourhood @t664 @t1 @t665) (tptp.in @t665 (tptp.interior @t1 @t664)))) % 1.02/1.24 (define @t667 () (not (tptp.element @t664 @t112))) % 1.02/1.24 (define @t668 () (not (tptp.element @t665 @t57))) % 1.02/1.24 (define @t669 () (or @t668 @t667 @t666)) % 1.02/1.24 (define @t670 () (or @t62 @t543 @t542 @t669)) % 1.02/1.24 (define @t671 () (forall (@list @t1 @t665 @t664) @t670)) % 1.02/1.24 (define @t672 () (@list @t665 @t664)) % 1.02/1.24 (define @t673 () (forall @t672 @t670)) % 1.02/1.24 (define @t674 () (forall @t672 @t669)) % 1.02/1.24 (define @t675 () (@var "BOUND_VARIABLE_11969" $$unsorted)) % 1.02/1.24 (define @t676 () (or @t62 @t543 @t542 @t674)) % 1.02/1.24 (define @t677 () (= (tptp.point_neighbourhood @t675 @t1 @t2) (tptp.in @t2 (tptp.interior @t1 @t675)))) % 1.02/1.24 (define @t678 () (not (tptp.element @t675 @t112))) % 1.02/1.24 (define @t679 () (not @t59)) % 1.02/1.24 (define @t680 () (or @t679 @t678 @t677)) % 1.02/1.24 (define @t681 () (@list @t2 @t675)) % 1.02/1.24 (define @t682 () (forall @t681 @t680)) % 1.02/1.24 (define @t683 () (or @t62 @t543 @t542 @t682)) % 1.02/1.24 (define @t684 () (or @t678 @t677)) % 1.02/1.24 (define @t685 () (or @t679 @t684)) % 1.02/1.24 (define @t686 () (forall @t681 @t685)) % 1.02/1.24 (define @t687 () (@list @t675)) % 1.02/1.24 (define @t688 () (forall @t687 @t685)) % 1.02/1.24 (define @t689 () (forall @t687 @t684)) % 1.02/1.24 (define @t690 () (or @t679 @t689)) % 1.02/1.24 (define @t691 () (forall @t106 (or @t643 @t123))) % 1.02/1.24 (define @t692 () (= @t590 @t663)) % 1.02/1.24 (define @t693 () (or @t603 @t602 @t600 @t594 @t598 @t692)) % 1.02/1.24 (define @t694 () (not @t663)) % 1.02/1.24 (assume @p1 (forall @t6 (=> @t5 @t4))) % 1.02/1.24 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 1.02/1.24 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 1.02/1.24 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 1.02/1.24 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 1.02/1.24 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 1.02/1.24 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 1.02/1.24 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 1.02/1.24 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 1.02/1.24 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 1.02/1.24 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 1.02/1.24 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 1.02/1.24 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 1.02/1.24 (assume @p14 (forall @t13 (=> @t22 @t33))) % 1.02/1.24 (assume @p15 (forall @t13 (=> @t35 @t34))) % 1.02/1.24 (assume @p16 (forall @t13 (=> @t22 @t36))) % 1.02/1.24 (assume @p17 (forall @t13 (=> @t21 @t19))) % 1.02/1.24 (assume @p18 (forall @t13 (=> @t32 @t39))) % 1.02/1.24 (assume @p19 (forall @t13 (=> @t22 @t40))) % 1.02/1.24 (assume @p20 (forall @t45 (=> @t44 @t42))) % 1.02/1.24 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 1.02/1.24 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 1.02/1.24 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 1.02/1.24 (assume @p24 (forall @t13 (=> @t34 @t35))) % 1.02/1.24 (assume @p25 (forall @t13 (=> @t51 @t50))) % 1.02/1.24 (assume @p26 (forall @t13 (=> @t19 @t17))) % 1.02/1.24 (assume @p27 (forall @t13 (=> @t39 @t32))) % 1.02/1.24 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 1.02/1.24 (assume @p29 (forall @t13 (=> @t17 @t15))) % 1.02/1.24 (assume @p30 (forall @t13 (=> @t22 @t52))) % 1.02/1.24 (assume @p31 (forall @t13 (=> @t15 @t12))) % 1.02/1.24 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 1.02/1.24 (assume @p33 (forall @t6 (= @t55 @t54))) % 1.02/1.24 (assume @p34 (forall @t45 (=> @t64 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 1.02/1.24 (assume @p35 (forall @t6 (= @t66 @t65))) % 1.02/1.24 (assume @p36 (forall @t45 (=> @t70 (= @t67 (tptp.meet_commut @t1 @t41 @t2))))) % 1.02/1.24 (assume @p37 (forall @t45 (=> @t73 (= @t71 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 1.02/1.24 (assume @p38 (forall @t6 (=> @t75 (or @t74 (tptp.ordinal_subset @t2 @t1))))) % 1.02/1.24 (assume @p39 (forall @t6 (=> @t84 (= @t83 (forall @t81 (= @t80 (and @t78 @t77))))))) % 1.02/1.24 (assume @p40 (forall @t6 (= @t87 (and @t86 @t85)))) % 1.02/1.24 (assume @p41 (forall @t13 (=> @t40 (forall @t95 (=> @t42 (= (= @t41 @t94) (forall @t93 (= @t92 (and @t91 @t90))))))))) % 1.02/1.24 (assume @p42 (forall @t13 (=> @t103 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t97) @t96 (= @t76 (tptp.apply @t1 @t88))))))))))) % 1.02/1.24 (assume @p43 (forall @t6 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t105) (forall @t93 (= @t92 (and @t104 (tptp.in @t89 @t2)))))))))) % 1.02/1.24 (assume @p44 (forall @t13 (=> @t40 (= @t108 (tptp.is_antisymmetric_in @t1 @t107))))) % 1.02/1.24 (assume @p45 (forall @t13 (=> @t103 (forall @t95 (= @t111 (forall @t100 (= @t99 (and @t110 (tptp.in @t109 @t2))))))))) % 1.02/1.24 (assume @p46 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> @t115 (= (= @t41 @t114) (forall @t100 (=> (tptp.in @t76 @t57) (= @t99 (forall @t98 (=> @t113 (not (and (tptp.open_subset @t88 @t1) (tptp.in @t76 @t88) (tptp.disjoint @t2 @t88)))))))))))))))) % 1.02/1.24 (assume @p47 (forall @t13 (=> @t40 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t118 @t1) @t96))))))))) % 1.02/1.24 (assume @p48 (forall @t13 (=> @t40 (forall @t95 (= @t111 (forall @t100 (= @t99 (exists @t98 (and @t90 @t96))))))))) % 1.02/1.24 (assume @p49 (forall @t13 (=> @t40 (= @t119 (tptp.is_connected_in @t1 @t107))))) % 1.02/1.24 (assume @p50 (forall @t13 (=> @t40 (= @t120 (tptp.is_transitive_in @t1 @t107))))) % 1.02/1.24 (assume @p51 @t130) % 1.02/1.24 (assume @p52 (forall @t132 (= (= @t76 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t98 (= @t131 (not (and (not (= @t88 @t1)) (not (= @t88 @t2)) (not (= @t88 @t41))))))))) % 1.02/1.24 (assume @p53 (forall @t13 (= @t33 (exists @t11 (and @t84 @t135 (= @t134 @t1) (tptp.in @t133 tptp.omega)))))) % 1.02/1.24 (assume @p54 (forall @t13 (= @t36 (forall @t139 (=> (and @t138 @t136) @t77))))) % 1.02/1.24 (assume @p55 (forall @t45 (=> @t145 (and (=> (=> @t143 @t142) (= @t141 (= @t1 @t144))) (=> @t143 (or @t142 (= @t141 @t140))))))) % 1.02/1.24 (assume @p56 (forall @t13 (=> @t148 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t147 (tptp.apply_binary_as_element @t57 @t57 @t57 @t146 @t2 @t41))))))))) % 1.02/1.24 (assume @p57 (forall @t13 (=> @t151 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t81 (=> @t150 @t149))))))) % 1.02/1.24 (assume @p58 (forall @t13 (= @t153 (tptp.set_union2 @t1 @t152)))) % 1.02/1.24 (assume @p59 (forall @t13 (=> @t117 (= @t127 (and (tptp.in @t57 @t154) (forall @t11 (=> @t158 (=> (tptp.subset @t2 @t154) (tptp.in @t156 @t154)))) (forall @t11 (=> @t116 (forall @t106 (=> @t115 (=> (and @t155 (tptp.in @t41 @t154)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t154))))))))))) % 1.02/1.24 (assume @p60 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t81 (not (= @t2 @t79))))))))) % 1.02/1.24 (assume @p61 (forall @t13 (=> @t40 (forall @t11 (= @t160 (forall @t106 (=> @t159 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 1.02/1.24 (assume @p62 (forall @t45 (= @t161 (tptp.subset @t41 @t43)))) % 1.02/1.24 (assume @p63 (forall @t6 (and (=> @t165 (= @t162 (forall @t106 (= @t159 (forall @t100 (=> @t164 @t163)))))) (=> @t142 (= @t162 @t143))))) % 1.02/1.24 (assume @p64 (forall @t13 (=> @t167 (= @t62 @t166)))) % 1.02/1.24 (assume @p65 (forall @t6 (= (= @t2 @t152) (forall @t106 (= @t159 (= @t41 @t1)))))) % 1.02/1.24 (assume @p66 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t169 (tptp.subset_complement @t57 (tptp.topstr_closure @t1 @t168)))))))) % 1.02/1.24 (assume @p67 (forall @t13 (=> @t117 (forall @t11 (=> @t158 (= @t171 (forall @t106 (=> @t115 (=> @t159 @t170))))))))) % 1.02/1.24 (assume @p68 (forall @t13 (=> @t40 (forall @t95 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t100 (= @t99 (and (not @t172) (tptp.in (tptp.ordered_pair @t76 @t2) @t1))))))))) % 1.02/1.24 (assume @p69 (forall @t6 (=> @t84 (= (= @t2 @t175) (and (= @t174 @t1) (forall @t81 (=> (and @t78 @t164) (= @t80 @t173)))))))) % 1.02/1.24 (assume @p70 (forall @t13 (= @t142 (forall @t11 @t4)))) % 1.02/1.24 (assume @p71 (forall @t6 (= (= @t2 @t24) (forall @t106 (= @t159 (tptp.subset @t41 @t1)))))) % 1.02/1.24 (assume @p72 (forall @t13 (= (tptp.centered @t1) (and @t165 (forall @t11 (not (and @t177 @t85 @t48 (= @t176 tptp.empty_set)))))))) % 1.02/1.24 (assume @p73 (forall @t13 (=> (and @t63 @t68) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t179 (tptp.apply_binary_as_element @t57 @t57 @t57 @t178 @t2 @t41))))))))) % 1.02/1.24 (assume @p74 (forall @t13 (=> @t151 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t81 (=> @t150 @t180))))))) % 1.02/1.24 (assume @p75 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t85))))) % 1.02/1.24 (assume @p76 (forall @t13 (=> @t167 (= @t181 tptp.empty_set)))) % 1.02/1.24 (assume @p77 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t87 (forall @t81 (= @t182 @t80)))))))) % 1.02/1.24 (assume @p78 (forall @t6 (and (=> @t184 (= @t10 @t3)) (=> @t22 (= @t10 @t183))))) % 1.02/1.24 (assume @p79 (forall @t45 (= (= @t41 @t53) (forall @t100 (= @t99 (or (= @t76 @t1) @t172)))))) % 1.02/1.24 (assume @p80 (forall @t13 (=> @t117 (forall @t11 (=> @t158 (= @t186 @t185)))))) % 1.02/1.24 (assume @p81 (forall @t13 (=> @t40 (= @t187 (forall @t11 (not (and (tptp.subset @t2 @t107) @t177 (forall @t106 (not (and @t159 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 1.02/1.24 (assume @p82 (forall @t45 (= (= @t41 @t55) (forall @t100 (= @t99 (or @t164 @t91)))))) % 1.02/1.24 (assume @p83 (forall @t45 (= (= @t41 @t43) (forall @t100 (= @t99 (exists @t191 (and @t104 @t190 (= @t76 @t189)))))))) % 1.02/1.24 (assume @p84 (forall @t13 (=> @t117 (= @t195 (forall @t11 (=> @t158 (not (and @t194 @t171 (forall @t106 (=> @t193 (not (and @t192 (tptp.is_a_cover_of_carrier @t1 @t41) (tptp.finite @t41))))))))))))) % 1.02/1.24 (assume @p85 (forall @t13 (=> @t148 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t196 (= @t147 @t41))))))))) % 1.02/1.24 (assume @p86 (forall @t13 (= @t37 (forall @t95 (not (and @t3 @t78 (not @t199) @t198 @t197)))))) % 1.02/1.24 (assume @p87 (forall @t13 (=> @t167 (= @t200 @t57)))) % 1.02/1.24 (assume @p88 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t86 (forall @t81 (=> @t182 @t80)))))))) % 1.02/1.24 (assume @p89 (forall @t6 (= @t86 @t201))) % 1.02/1.24 (assume @p90 (forall @t13 (=> @t40 (forall @t11 (= @t203 (forall @t106 (not (and @t192 @t202 (forall @t100 (not (and @t99 (tptp.disjoint (tptp.fiber @t1 @t76) @t41)))))))))))) % 1.02/1.24 (assume @p91 (forall @t45 (= (= @t41 @t66) (forall @t100 (= @t99 (and @t164 @t91)))))) % 1.02/1.24 (assume @p92 (forall @t13 (=> @t103 (forall @t95 (and (=> @t206 (= @t205 @t138)) (=> (not @t206) (= @t205 @t140))))))) % 1.02/1.24 (assume @p93 (forall @t13 (= @t32 @t39))) % 1.02/1.24 (assume @p94 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t97) (forall @t106 (= @t159 (exists @t100 @t182)))))))) % 1.02/1.24 (assume @p95 (forall @t13 (=> @t40 (forall @t11 (= @t208 (forall @t81 (=> (and @t159 @t91 @t182 @t207) @t77))))))) % 1.02/1.24 (assume @p96 (forall @t13 (= @t209 @t1))) % 1.02/1.24 (assume @p97 (forall @t6 (= (= @t2 @t210) (forall @t106 (= @t159 (exists @t100 (and @t163 @t164))))))) % 1.02/1.24 (assume @p98 (forall @t13 (=> @t40 (= @t212 (and @t211 @t120 @t108 @t119 @t187))))) % 1.02/1.24 (assume @p99 (forall @t6 (= @t218 (exists @t106 (and @t42 @t217 @t216 @t215 (= @t213 @t2)))))) % 1.02/1.24 (assume @p100 (forall @t45 (= (= @t41 @t219) (forall @t100 (= @t99 (and @t164 (not @t91))))))) % 1.02/1.24 (assume @p101 (forall @t13 (=> @t103 (forall @t11 (= @t222 (forall @t106 (= @t159 (exists @t100 @t220)))))))) % 1.02/1.24 (assume @p102 (forall @t13 (=> @t225 (= @t224 (tptp.is_transitive_in @t223 @t57))))) % 1.02/1.24 (assume @p103 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t226 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t86))))))) % 1.02/1.24 (assume @p104 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t227 @t155)))))) % 1.02/1.24 (assume @p105 (forall @t13 (=> @t40 (forall @t11 (= @t222 (forall @t106 (= @t159 (exists @t100 @t207)))))))) % 1.02/1.24 (assume @p106 (forall @t6 (=> @t25 (= @t228 @t219)))) % 1.02/1.24 (assume @p107 (forall @t6 (= @t229 (tptp.unordered_pair @t53 @t152)))) % 1.02/1.24 (assume @p108 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t160 @t231 @t208 @t230 @t203)))))) % 1.02/1.24 (assume @p109 (forall @t13 (=> @t225 (= @t232 (tptp.is_antisymmetric_in @t223 @t57))))) % 1.02/1.24 (assume @p110 (forall @t13 (= @t226 (= @t1 @t210)))) % 1.02/1.24 (assume @p111 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t234 (tptp.open_subset @t233 @t1))))))) % 1.02/1.24 (assume @p112 (forall @t13 (=> @t40 (= @t107 (tptp.set_union2 @t97 @t221))))) % 1.02/1.24 (assume @p113 (forall @t13 (=> @t40 (forall @t11 (= @t230 (forall @t81 (not (and @t159 @t91 (not @t77) (not @t182) (not @t207))))))))) % 1.02/1.24 (assume @p114 (forall @t13 (=> @t40 (forall @t11 (= @t236 (tptp.set_intersection2 @t1 @t235)))))) % 1.02/1.24 (assume @p115 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= (= @t2 @t237) (forall @t81 (= @t80 @t207)))))))) % 1.02/1.24 (assume @p116 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t241 (= @t240 (and (= @t214 @t107) (= @t213 @t174) @t216 (forall @t93 (= @t90 (and (tptp.in @t76 @t107) (tptp.in @t88 @t107) (tptp.in (tptp.ordered_pair @t239 @t238) @t2))))))))))))) % 1.02/1.24 (assume @p117 (forall @t6 (= @t242 (= @t66 tptp.empty_set)))) % 1.02/1.24 (assume @p118 (forall @t13 (=> @t103 (= @t49 (forall @t95 (=> (and @t206 (tptp.in @t41 @t97) (= @t204 (tptp.apply @t1 @t41))) @t149)))))) % 1.02/1.24 (assume @p119 (forall @t13 (=> (and @t63 @t244) (= @t243 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= (tptp.join @t1 @t179 @t41) @t41))))))))) % 1.02/1.24 (assume @p120 (forall @t13 (=> @t167 (forall @t11 (=> @t158 (= @t194 (= @t200 @t156))))))) % 1.02/1.24 (assume @p121 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t246) (forall @t93 (= @t92 (exists @t245 (and (tptp.in (tptp.ordered_pair @t76 @t188) @t1) (tptp.in (tptp.ordered_pair @t188 @t88) @t2))))))))))))) % 1.02/1.24 (assume @p122 (forall @t13 (=> @t40 (forall @t11 (= @t231 (forall @t247 (=> (and @t159 @t91 @t96 @t182 @t90) (tptp.in (tptp.ordered_pair @t41 @t88) @t1)))))))) % 1.02/1.24 (assume @p123 (forall @t6 (=> @t250 (forall @t106 (=> (tptp.element @t41 @t249) (= (= @t41 @t248) (forall @t100 (=> (tptp.element @t76 @t24) (= @t99 (tptp.in (tptp.subset_complement @t1 @t76) @t2)))))))))) % 1.02/1.24 (assume @p124 (forall @t6 (= @t8 (and @t86 @t251)))) % 1.02/1.24 (assume @p125 (forall @t13 (=> @t103 (=> @t49 (= @t252 @t237))))) % 1.02/1.24 (assume @p126 (forall @t13 (=> @t225 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t253 (tptp.in @t137 @t223))))))))) % 1.02/1.24 (assume @p127 (forall @t13 (=> @t40 (= @t211 (tptp.is_reflexive_in @t1 @t107))))) % 1.02/1.24 (assume @p128 true) % 1.02/1.24 (assume @p129 (forall @t45 (=> (and @t63 @t60 @t59 @t58) (tptp.element @t147 @t57)))) % 1.02/1.24 (assume @p130 (forall @t13 (=> @t167 (tptp.element @t181 @t112)))) % 1.02/1.24 (assume @p131 (forall @t6 (=> @t254 (tptp.element @t169 @t112)))) % 1.02/1.24 (assume @p132 (forall @t13 (tptp.relation @t175))) % 1.02/1.24 (assume @p133 (forall @t259 (=> @t258 (tptp.element @t255 @t41)))) % 1.02/1.24 (assume @p134 (forall @t13 (=> @t103 (and (tptp.relation @t252) (tptp.function @t252))))) % 1.02/1.24 (assume @p135 (forall @t45 (=> (and @t63 @t68 @t59 @t58) (tptp.element @t179 @t57)))) % 1.02/1.24 (assume @p136 (forall @t13 (=> @t167 (tptp.element @t200 @t112)))) % 1.02/1.24 (assume @p137 (forall @t13 (tptp.element @t209 @t24))) % 1.02/1.24 (assume @p138 (forall @t6 (=> @t40 (tptp.relation @t236)))) % 1.02/1.24 (assume @p139 (forall @t45 (=> @t64 (tptp.element @t56 @t57)))) % 1.02/1.24 (assume @p140 (forall @t6 (=> @t25 (tptp.element @t228 @t24)))) % 1.02/1.24 (assume @p141 (forall @t45 (=> @t70 (tptp.element @t67 @t57)))) % 1.02/1.24 (assume @p142 (forall @t13 (=> @t40 @t260))) % 1.02/1.24 (assume @p143 (forall @t45 (=> @t161 (tptp.element @t144 @t24)))) % 1.02/1.24 (assume @p144 (forall @t6 (=> @t262 @t261))) % 1.02/1.24 (assume @p145 (forall @t45 (=> @t161 (tptp.element @t264 @t263)))) % 1.02/1.24 (assume @p146 (forall @t6 (=> @t250 (tptp.element @t265 @t24)))) % 1.02/1.24 (assume @p147 (forall @t45 (=> @t73 (tptp.element @t71 @t24)))) % 1.02/1.24 (assume @p148 (forall @t6 (=> @t254 (tptp.element @t114 @t112)))) % 1.02/1.24 (assume @p149 (forall @t13 @t266)) % 1.02/1.24 (assume @p150 (forall @t6 (=> @t250 (tptp.element @t267 @t24)))) % 1.02/1.24 (assume @p151 (forall @t45 (=> @t73 (tptp.element @t268 @t24)))) % 1.02/1.24 (assume @p152 (forall @t6 (=> @t40 @t269))) % 1.02/1.24 (assume @p153 (forall @t6 (=> @t250 (tptp.element @t248 @t249)))) % 1.02/1.24 (assume @p154 (forall @t6 (=> @t84 @t270))) % 1.02/1.24 (assume @p155 (forall @t13 (=> @t68 @t167))) % 1.02/1.24 (assume @p156 (forall @t13 (=> @t225 @t167))) % 1.02/1.24 (assume @p157 (forall @t13 (=> @t117 @t167))) % 1.02/1.24 (assume @p158 (forall @t13 (=> @t60 @t167))) % 1.02/1.24 (assume @p159 (forall @t13 (=> @t244 (and @t68 @t60)))) % 1.02/1.24 (assume @p160 (forall @t6 (=> @t271 (forall @t106 (=> @t122 @t115))))) % 1.02/1.24 (assume @p161 (forall @t45 (=> @t145 @t44))) % 1.02/1.24 (assume @p162 (forall @t13 (=> @t68 (and (tptp.function @t178) (tptp.quasi_total @t178 @t272 @t57) (tptp.relation_of2_as_subset @t178 @t272 @t57))))) % 1.02/1.24 (assume @p163 (forall @t13 (=> @t225 (tptp.relation_of2_as_subset @t223 @t57 @t57)))) % 1.02/1.24 (assume @p164 (forall @t13 (=> @t117 (tptp.element @t154 @t157)))) % 1.02/1.24 (assume @p165 (forall @t13 (=> @t60 (and (tptp.function @t146) (tptp.quasi_total @t146 @t272 @t57) (tptp.relation_of2_as_subset @t146 @t272 @t57))))) % 1.02/1.24 (assume @p166 (exists @t13 @t68)) % 1.02/1.24 (assume @p167 (exists @t13 @t225)) % 1.02/1.24 (assume @p168 (exists @t13 @t117)) % 1.02/1.24 (assume @p169 (exists @t13 @t167)) % 1.02/1.24 (assume @p170 (exists @t13 @t60)) % 1.02/1.24 (assume @p171 (exists @t13 @t244)) % 1.02/1.24 (assume @p172 (forall @t6 (=> @t271 (exists @t106 @t122)))) % 1.02/1.24 (assume @p173 (forall @t6 (exists @t106 @t161))) % 1.02/1.24 (assume @p174 (forall @t13 (exists @t11 @t10))) % 1.02/1.24 (assume @p175 (forall @t6 (exists @t106 @t145))) % 1.02/1.24 (assume @p176 (forall @t6 (=> @t48 @t273))) % 1.02/1.24 (assume @p177 (forall @t6 (=> @t275 (and (tptp.empty @t274) (tptp.relation @t274))))) % 1.02/1.24 (assume @p178 (forall @t6 (=> @t33 @t273))) % 1.02/1.24 (assume @p179 (forall @t13 (=> @t22 (and (tptp.empty @t237) @t260)))) % 1.02/1.24 (assume @p180 (forall @t6 (=> @t33 (tptp.finite @t219)))) % 1.02/1.24 (assume @p181 (and @t278 @t277 @t276)) % 1.02/1.24 (assume @p182 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t101)))) % 1.02/1.24 (assume @p183 (forall @t6 (=> @t280 (and @t269 (tptp.relation_empty_yielding @t94))))) % 1.02/1.24 (assume @p184 (forall @t13 (and @t281 (tptp.finite @t152)))) % 1.02/1.24 (assume @p185 (forall @t13 (and @t282 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 1.02/1.24 (assume @p186 (forall @t6 (=> (and @t40 @t36 @t84 @t135) (and @t261 (tptp.function @t246))))) % 1.02/1.24 (assume @p187 (forall @t13 @t283)) % 1.02/1.24 (assume @p188 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 1.02/1.24 (assume @p189 (forall @t13 (=> @t167 (and (tptp.empty @t181) (tptp.v1_membered @t181) (tptp.v2_membered @t181) (tptp.v3_membered @t181) (tptp.v4_membered @t181) (tptp.v5_membered @t181))))) % 1.02/1.24 (assume @p190 (forall @t6 (=> @t262 (tptp.relation @t66)))) % 1.02/1.24 (assume @p191 (forall @t13 (=> @t284 (not @t166)))) % 1.02/1.24 (assume @p192 (forall @t13 @t282)) % 1.02/1.24 (assume @p193 @t278) % 1.02/1.24 (assume @p194 (forall @t6 (not (tptp.empty @t229)))) % 1.02/1.24 (assume @p195 (forall @t6 (=> @t12 @t285))) % 1.02/1.24 (assume @p196 (forall @t6 (=> @t12 @t286))) % 1.02/1.24 (assume @p197 (forall @t6 (=> @t15 (and @t285 @t287)))) % 1.02/1.24 (assume @p198 (forall @t13 (=> (and @t32 @t46) (and @t283 @t290 @t289 @t288 (tptp.natural @t153))))) % 1.02/1.24 (assume @p199 (forall @t13 (and @t266 (tptp.function @t82)))) % 1.02/1.24 (assume @p200 (and @t277 @t276 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t278 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 1.02/1.24 (assume @p201 (forall @t13 (=> @t284 (not (tptp.empty @t200))))) % 1.02/1.24 (assume @p202 (forall @t6 (=> @t262 (tptp.relation @t55)))) % 1.02/1.24 (assume @p203 (forall @t13 @t281)) % 1.02/1.24 (assume @p204 (forall @t6 (=> @t291 (tptp.closed_subset @t114 @t1)))) % 1.02/1.24 (assume @p205 (forall @t6 (=> @t184 (not (tptp.empty @t55))))) % 1.02/1.24 (assume @p206 (forall @t6 (=> @t15 (and @t286 @t292)))) % 1.02/1.24 (assume @p207 (forall @t6 (=> @t17 (and @t285 @t287 @t293)))) % 1.02/1.24 (assume @p208 (forall @t6 (=> @t17 (and @t286 @t292 @t294)))) % 1.02/1.24 (assume @p209 (forall @t6 (=> @t19 (and @t285 @t287 @t293 @t295)))) % 1.02/1.24 (assume @p210 (forall @t6 (=> @t19 (and @t286 @t292 @t294 @t296)))) % 1.02/1.24 (assume @p211 (forall @t6 (=> @t21 (and @t285 @t287 @t293 @t295 (tptp.v5_membered @t66))))) % 1.02/1.24 (assume @p212 (forall @t6 (=> @t21 (and @t286 @t292 @t294 @t296 (tptp.v5_membered @t65))))) % 1.02/1.24 (assume @p213 (forall @t6 (=> @t12 @t297))) % 1.02/1.24 (assume @p214 (forall @t6 (=> @t15 (and @t297 @t298)))) % 1.02/1.24 (assume @p215 (forall @t6 (=> @t17 (and @t297 @t298 @t299)))) % 1.02/1.24 (assume @p216 (forall @t13 (=> @t50 (and @t260 (tptp.function @t237))))) % 1.02/1.24 (assume @p217 (forall @t13 (=> @t32 (and @t283 @t290 @t289 @t288)))) % 1.02/1.24 (assume @p218 (forall @t6 (=> @t262 (tptp.relation @t219)))) % 1.02/1.24 (assume @p219 (forall @t6 (not (tptp.empty @t53)))) % 1.02/1.24 (assume @p220 (forall @t6 (=> (and @t127 @t117 @t234 @t116) @t300))) % 1.02/1.24 (assume @p221 (forall @t6 (=> @t184 (not (tptp.empty @t54))))) % 1.02/1.24 (assume @p222 (forall @t6 (=> @t19 (and @t297 @t298 @t299 @t301)))) % 1.02/1.24 (assume @p223 (forall @t6 (=> @t21 (and @t297 @t298 @t299 @t301 (tptp.v5_membered @t219))))) % 1.02/1.24 (assume @p224 (forall @t6 (=> @t103 (and @t269 (tptp.function @t94))))) % 1.02/1.24 (assume @p225 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t210) (tptp.epsilon_connected @t210) (tptp.ordinal @t210))))) % 1.02/1.24 (assume @p226 (and @t278 @t277)) % 1.02/1.24 (assume @p227 (forall @t6 (=> (and @t184 @t257) (not (tptp.empty @t43))))) % 1.02/1.24 (assume @p228 (forall @t6 (=> (and @t127 @t117 @t227 @t116) @t302))) % 1.02/1.24 (assume @p229 (forall @t6 (=> @t303 (and @t270 (tptp.function @t105))))) % 1.02/1.24 (assume @p230 (forall @t13 (=> @t304 (tptp.closed_subset @t200 @t1)))) % 1.02/1.24 (assume @p231 (forall @t13 (=> @t306 (not @t305)))) % 1.02/1.24 (assume @p232 (and @t278 (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))) % 1.02/1.24 (assume @p233 (forall @t13 (=> @t306 (not @t307)))) % 1.02/1.24 (assume @p234 (forall @t6 (=> @t291 @t308))) % 1.02/1.24 (assume @p235 (forall @t13 (=> @t22 (and @t305 (tptp.relation @t97))))) % 1.02/1.24 (assume @p236 (forall @t13 (=> @t22 (and @t307 (tptp.relation @t221))))) % 1.02/1.24 (assume @p237 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 1.02/1.24 (assume @p238 (forall @t6 (=> @t275 (and (tptp.empty @t246) @t261)))) % 1.02/1.24 (assume @p239 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 1.02/1.24 (assume @p240 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.02/1.24 (assume @p241 (forall @t45 (=> @t73 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 1.02/1.24 (assume @p242 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t228) @t2)))) % 1.02/1.24 (assume @p243 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t237) @t1)))) % 1.02/1.24 (assume @p244 (forall @t6 (=> @t250 (= (tptp.complements_of_subsets @t1 @t248) @t2)))) % 1.02/1.24 (assume @p245 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 1.02/1.24 (assume @p246 (forall @t13 (=> @t40 (= @t211 (forall @t11 (=> @t309 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 1.02/1.24 (assume @p247 (forall @t13 (not (= @t152 tptp.empty_set)))) % 1.02/1.24 (assume @p248 (forall @t6 (=> @t5 (= (tptp.set_union2 @t152 @t2) @t2)))) % 1.02/1.24 (assume @p249 (forall @t6 (not (and @t310 @t5)))) % 1.02/1.24 (assume @p250 (forall @t6 (=> @t311 @t310))) % 1.02/1.24 (assume @p251 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_dom @t105) @t133)))) % 1.02/1.24 (assume @p252 (forall @t13 (=> @t40 (= @t120 (forall @t139 (=> (and @t138 @t182) @t136)))))) % 1.02/1.24 (assume @p253 (forall @t6 (= (tptp.subset @t152 @t2) @t5))) % 1.02/1.24 (assume @p254 (forall @t6 (=> @t84 (not (and @t312 (tptp.equipotent @t1 @t174) (forall @t106 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 1.02/1.24 (assume @p255 (forall @t6 (= (= @t219 tptp.empty_set) @t86))) % 1.02/1.24 (assume @p256 (forall @t6 (=> @t25 (forall @t106 (=> @t159 @t78))))) % 1.02/1.24 (assume @p257 (forall @t13 (=> @t40 (= @t108 (forall @t95 (=> (and @t138 @t313) @t149)))))) % 1.02/1.24 (assume @p258 (forall @t45 (=> @t86 (or @t78 (tptp.subset @t1 (tptp.set_difference @t2 @t314)))))) % 1.02/1.24 (assume @p259 (forall @t13 (=> @t284 (forall @t11 (=> @t116 (forall @t106 (=> @t58 (= (tptp.in @t41 @t168) @t197)))))))) % 1.02/1.24 (assume @p260 (forall @t13 (=> @t40 (= @t119 (forall @t95 (not (and @t309 (tptp.in @t41 @t107) @t198 @t315 (not @t313)))))))) % 1.02/1.24 (assume @p261 (forall @t6 (= (tptp.subset @t1 @t316) (or @t142 (= @t1 @t316))))) % 1.02/1.24 (assume @p262 (forall @t6 (=> @t5 (tptp.subset @t1 @t317)))) % 1.02/1.24 (assume @p263 (forall @t132 (= (tptp.in @t229 (tptp.cartesian_product2 @t41 @t76)) (and @t318 (tptp.in @t2 @t76))))) % 1.02/1.24 (assume @p264 (forall @t6 (=> @t201 @t319))) % 1.02/1.24 (assume @p265 (forall @t45 (=> @t241 (= @t321 (and (tptp.in @t2 @t214) @t3))))) % 1.02/1.24 (assume @p266 (exists @t13 (and @t184 @t38 @t37 @t32 @t46))) % 1.02/1.24 (assume @p267 (exists @t13 (and @t184 @t33))) % 1.02/1.24 (assume @p268 (exists @t13 @t103)) % 1.02/1.24 (assume @p269 (forall @t6 (exists @t106 (and @t161 @t42 @t217 @t141)))) % 1.02/1.24 (assume @p270 (exists @t13 (and @t184 @t12 @t15 @t17 @t19 @t21))) % 1.02/1.24 (assume @p271 (exists @t13 @t52)) % 1.02/1.24 (assume @p272 (exists @t13 (and @t38 @t37 @t32 @t226))) % 1.02/1.24 (assume @p273 (exists @t13 (and @t40 @t36 @t49 @t22))) % 1.02/1.24 (assume @p274 (exists @t13 (and @t22 @t40))) % 1.02/1.24 (assume @p275 (forall @t13 (=> @t184 (exists @t11 (and @t25 @t257))))) % 1.02/1.24 (assume @p276 (forall @t13 (=> @t304 (exists @t11 (and @t116 @t227))))) % 1.02/1.24 (assume @p277 (exists @t13 @t22)) % 1.02/1.24 (assume @p278 (forall @t13 (exists @t11 (and @t25 @t183 @t84 @t135 @t322 @t31 @t30 @t29 @t20 @t48)))) % 1.02/1.24 (assume @p279 (exists @t13 @t51)) % 1.02/1.24 (assume @p280 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 1.02/1.24 (assume @p281 (forall @t6 (exists @t106 (and @t161 @t42 @t217)))) % 1.02/1.24 (assume @p282 (exists @t13 @t306)) % 1.02/1.24 (assume @p283 (forall @t13 (exists @t11 (and @t25 @t183)))) % 1.02/1.24 (assume @p284 (forall @t13 (=> @t304 (exists @t11 (and @t116 @t227 @t234))))) % 1.02/1.24 (assume @p285 (exists @t13 @t184)) % 1.02/1.24 (assume @p286 (forall @t13 (=> @t184 (exists @t11 (and @t25 @t257 @t48))))) % 1.02/1.24 (assume @p287 (exists @t13 @t50)) % 1.02/1.24 (assume @p288 (exists @t13 (and @t184 @t38 @t37 @t32))) % 1.02/1.24 (assume @p289 (exists @t13 @t280)) % 1.02/1.24 (assume @p290 (exists @t13 (and @t167 @t63))) % 1.02/1.24 (assume @p291 (exists @t13 (and @t40 @t279 @t36))) % 1.02/1.24 (assume @p292 (forall @t13 (=> @t284 (exists @t11 (and @t116 @t257))))) % 1.02/1.24 (assume @p293 (forall @t13 (=> @t304 (exists @t11 (and @t116 @t234))))) % 1.02/1.24 (assume @p294 (forall @t13 (=> @t128 (exists @t11 (and @t116 @t257 @t234))))) % 1.02/1.24 (assume @p295 (forall @t259 (=> @t258 (= @t255 (tptp.apply_binary @t76 @t88 @t188))))) % 1.02/1.24 (assume @p296 (forall @t45 (=> @t64 (= @t56 @t147)))) % 1.02/1.24 (assume @p297 (forall @t45 (=> @t70 (= @t67 @t179)))) % 1.02/1.24 (assume @p298 (forall @t45 (=> @t161 (= @t144 @t214)))) % 1.02/1.24 (assume @p299 (forall @t45 (=> @t161 (= @t264 @t213)))) % 1.02/1.24 (assume @p300 (forall @t6 (=> @t250 (= @t265 @t317)))) % 1.02/1.24 (assume @p301 (forall @t45 (=> @t73 (= @t71 @t323)))) % 1.02/1.24 (assume @p302 (forall @t6 (=> @t250 (= @t267 @t176)))) % 1.02/1.24 (assume @p303 (forall @t45 (=> @t73 (= @t268 @t324)))) % 1.02/1.24 (assume @p304 (forall @t45 (= @t145 @t161))) % 1.02/1.24 (assume @p305 (forall @t6 (=> @t75 (= @t74 @t86)))) % 1.02/1.24 (assume @p306 (forall @t6 (= @t218 (tptp.are_equipotent @t1 @t2)))) % 1.02/1.24 (assume @p307 (forall @t6 (=> @t75 (tptp.ordinal_subset @t1 @t1)))) % 1.02/1.24 (assume @p308 (forall @t6 (tptp.subset @t1 @t1))) % 1.02/1.24 (assume @p309 (forall @t6 (tptp.equipotent @t1 @t1))) % 1.02/1.24 (assume @p310 (forall @t6 (=> @t342 (=> @t341 (exists @t106 (and @t42 @t217 (forall @t93 (= @t92 (and @t164 @t164 (exists @t329 (and (= @t76 @t326) (tptp.in @t88 @t326) (forall @t328 (=> @t327 (tptp.in (tptp.ordered_pair @t88 @t325) @t2)))))))))))))) % 1.02/1.24 (assume @p311 (forall @t13 (=> @t345 (exists @t11 (and @t84 @t135 (forall @t81 (= @t80 (and @t78 @t78 (= @t76 @t314))))))))) % 1.02/1.24 (assume @p312 (forall @t6 (=> @t358 (=> @t357 (exists @t106 (and @t42 @t217 (forall @t93 (= @t92 (and @t351 @t351 @t349))))))))) % 1.02/1.24 (assume @p313 (forall @t6 (=> @t358 (=> @t359 (exists @t106 (and @t42 @t217 (forall @t93 (= @t92 (and @t91 @t91 @t349))))))))) % 1.02/1.24 (assume @p314 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t106 (=> @t360 (=> @t78 (tptp.ordinal_subset @t2 @t41))))))))) % 1.02/1.24 (assume @p315 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t384)) (not (and @t165 (forall @t11 (not (and @t3 (forall @t106 (=> (and @t78 @t383) (= @t41 @t2))))))))))) (forall @t100 (=> @t367 (=> @t382 (=> (tptp.in @t381 tptp.omega) (forall @t335 (=> (tptp.element @t332 (tptp.powerset (tptp.powerset @t381))) (not (and (not (= @t332 tptp.empty_set)) (forall @t334 (not (and @t333 (forall @t329 (=> (and (tptp.in @t326 @t332) (tptp.subset @t331 @t326)) (= @t326 @t331)))))))))))))) (forall @t100 (=> @t367 (=> (and (tptp.being_limit_ordinal @t76) (forall @t328 (=> (tptp.ordinal @t325) (=> (tptp.in @t325 @t76) (=> (tptp.in @t325 tptp.omega) (forall @t380 (=> (tptp.element @t376 (tptp.powerset (tptp.powerset @t325))) (not (and (not (= @t376 tptp.empty_set)) (forall @t379 (not (and @t378 (forall @t377 (=> (and (tptp.in @t375 @t376) (tptp.subset @t374 @t375)) (= @t375 @t374))))))))))))))) (or (= @t76 tptp.empty_set) (=> @t366 (forall @t373 (=> (tptp.element @t370 @t364) (not (and (not (= @t370 tptp.empty_set)) (forall @t372 (not (and (tptp.in @t368 @t370) (forall @t371 (=> (and (tptp.in @t369 @t370) (tptp.subset @t368 @t369)) (= @t369 @t368)))))))))))))))) (forall @t100 (=> @t367 (=> @t366 (forall @t365 (=> (tptp.element @t363 @t364) (not (and (not (= @t363 tptp.empty_set)) (forall (@list @t361) (not (and (tptp.in @t361 @t363) (forall (@list @t362) (=> (and (tptp.in @t362 @t363) (tptp.subset @t361 @t362)) (= @t362 @t361))))))))))))))) % 1.02/1.24 (assume @p316 (forall @t45 (=> @t388 (exists @t100 (and @t387 (forall @t191 (= (tptp.in @t189 @t76) (and @t104 @t386 (tptp.in (tptp.ordered_pair @t238 @t385) @t2))))))))) % 1.02/1.24 (assume @p317 (forall @t6 (=> @t342 (=> @t341 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t104 @t104 (exists @t329 (and (= @t88 @t326) @t390 @t389))))))))))) % 1.02/1.24 (assume @p318 (forall @t6 (=> @t342 (forall @t106 (=> (forall @t402 (=> (and @t330 (exists @t401 (and @t400 @t398 (exists @t334 (and (= @t337 @t331) (tptp.in @t332 @t331) (forall @t329 (=> @t397 (tptp.in (tptp.ordered_pair @t332 @t326) @t2))))))) @t396 (exists @t395 (and (= @t394 @t188) (tptp.in @t325 @t1) (exists @t379 (and (= @t325 @t374) (tptp.in @t376 @t374) (forall @t377 (=> (tptp.in @t375 @t374) (tptp.in (tptp.ordered_pair @t376 @t375) @t2)))))))) @t393)) (exists @t100 (forall @t98 (= @t131 (exists @t245 (and (tptp.in @t188 @t392) @t391 (exists (@list @t370 @t368) (and (= (tptp.ordered_pair @t370 @t368) @t88) (tptp.in @t370 @t1) (exists @t371 (and (= @t370 @t369) (tptp.in @t368 @t369) (forall @t365 (=> (tptp.in @t363 @t369) (tptp.in (tptp.ordered_pair @t368 @t363) @t2))))))))))))))))) % 1.02/1.24 (assume @p319 (forall @t13 (=> @t345 (exists @t11 (forall @t106 (= @t159 (exists @t100 (and @t164 @t164 (= @t41 (tptp.singleton @t76)))))))))) % 1.02/1.24 (assume @p320 (forall @t6 (=> (forall @t247 (=> (and @t77 (exists @t409 (and (= @t408 @t76) @t386 (= @t337 (tptp.singleton @t188)))) @t407 (exists (@list @t332 @t331) (and (= (tptp.ordered_pair @t332 @t331) @t88) @t406 (= @t331 (tptp.singleton @t332))))) @t330)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t43) @t405 (exists @t404 (and (= @t403 @t76) (tptp.in @t326 @t1) (= @t325 (tptp.singleton @t326)))))))))))) % 1.02/1.24 (assume @p321 (forall @t13 (=> @t32 (=> (forall @t139 (=> (and @t149 (exists @t98 (and @t412 @t407 (=> (tptp.in @t88 tptp.omega) (forall @t245 (=> (tptp.element @t188 (tptp.powerset (tptp.powerset @t88))) @t411))))) @t180 (exists @t334 (and (tptp.ordinal @t331) (= @t76 @t331) (=> (tptp.in @t331 tptp.omega) (forall @t329 (=> (tptp.element @t326 (tptp.powerset (tptp.powerset @t331))) (not (and (not (= @t326 tptp.empty_set)) (forall @t328 (not (and @t327 (forall @t380 (=> (and (tptp.in @t376 @t326) (tptp.subset @t325 @t376)) (= @t376 @t325)))))))))))))) @t77)) (exists @t11 (forall @t106 (= @t159 (exists @t100 (and (tptp.in @t76 @t153) @t410 (exists @t379 (and (tptp.ordinal @t374) (= @t41 @t374) (=> (tptp.in @t374 tptp.omega) (forall @t377 (=> (tptp.element @t375 (tptp.powerset (tptp.powerset @t374))) (not (and (not (= @t375 tptp.empty_set)) (forall @t373 (not (and (tptp.in @t370 @t375) (forall @t372 (=> (and (tptp.in @t368 @t375) (tptp.subset @t370 @t368)) (= @t368 @t370)))))))))))))))))))))) % 1.02/1.24 (assume @p322 (forall @t6 (=> @t291 (=> (forall @t247 (=> (and @t77 (exists @t245 (and @t355 (= @t188 @t76) (tptp.closed_subset @t188 @t1) @t413)) @t407 (exists @t339 (and @t352 (= @t337 @t88) (tptp.closed_subset @t337 @t1) (tptp.subset @t2 @t88)))) @t330)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t414 @t405 (exists @t335 (and @t348 @t347 (tptp.closed_subset @t332 @t1) @t413))))))))))) % 1.02/1.24 (assume @p323 (forall @t6 (=> @t416 (=> (forall @t247 (=> (and @t77 @t415 @t407 (tptp.in (tptp.set_difference @t200 @t88) @t2)) @t330)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t414 @t405 @t415))))))))) % 1.02/1.24 (assume @p324 (forall @t6 (=> @t418 (=> (forall @t247 (=> (and @t77 (exists @t245 (and @t190 (= @t76 (tptp.set_difference @t188 @t152)))) @t407 (exists @t339 (and @t417 (= @t88 (tptp.set_difference @t337 @t152))))) @t330)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t24) @t405 (exists @t335 (and (tptp.in @t332 @t2) (= @t76 (tptp.set_difference @t332 @t152))))))))))))) % 1.02/1.24 (assume @p325 (forall @t6 (=> @t358 (=> @t357 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t421 @t421 @t420))))))))) % 1.02/1.24 (assume @p326 (forall @t6 (=> @t358 (forall @t106 (=> (forall @t402 (=> (and @t330 (exists @t401 (and @t400 (tptp.in @t337 @t350) @t430)) @t396 (exists @t404 (and @t427 (tptp.in @t326 @t350) @t426))) @t393)) (exists @t100 (forall @t98 (= @t131 (exists @t245 (and (tptp.in @t188 @t425) @t391 (exists @t424 (and @t423 (tptp.in @t374 @t350) @t422)))))))))))) % 1.02/1.24 (assume @p327 (forall @t6 (=> @t358 (=> @t359 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t96 @t96 @t420))))))))) % 1.02/1.24 (assume @p328 (forall @t6 (=> @t358 (forall @t106 (=> (forall @t402 (=> (and @t330 (exists @t401 (and @t400 @t417 @t430)) @t396 (exists @t404 (and @t427 (tptp.in @t326 @t2) @t426))) @t393)) (exists @t100 (forall @t98 (= @t131 (exists @t245 (and (tptp.in @t188 @t431) @t391 (exists @t424 (and @t423 (tptp.in @t374 @t2) @t422)))))))))))) % 1.02/1.24 (assume @p329 (forall @t45 (=> @t388 (=> (forall @t402 (=> (and @t330 (exists @t401 (and (= @t88 @t399) (tptp.in (tptp.ordered_pair @t433 (tptp.apply @t41 @t332)) @t2))) @t396 (exists (@list @t331 @t326) (and (= @t188 (tptp.ordered_pair @t331 @t326)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t331) (tptp.apply @t41 @t326)) @t2)))) @t393)) (exists @t100 (forall @t98 (= @t131 (exists @t245 (and (tptp.in @t188 @t432) @t391 (exists @t395 (and (= @t88 @t394) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t325) (tptp.apply @t41 @t376)) @t2)))))))))))) % 1.02/1.24 (assume @p330 (forall @t13 (=> (forall @t139 (=> (and @t149 @t360 @t180 @t367) @t77)) (exists @t11 (forall @t106 (= @t159 (exists @t100 (and @t164 @t410 @t360)))))))) % 1.02/1.24 (assume @p331 (forall @t45 (=> @t436 (=> (forall @t402 (=> (and @t330 @t434 @t396 (tptp.in (tptp.relation_image @t41 @t188) @t2)) @t393)) (exists @t100 (forall @t98 (= @t131 (exists @t245 (and (tptp.in @t188 @t435) @t391 @t434))))))))) % 1.02/1.24 (assume @p332 (forall @t6 (=> @t29 (=> (forall @t247 (=> (and @t77 (exists @t245 (and (tptp.ordinal @t188) @t396 @t386)) @t407 (exists @t339 (and (tptp.ordinal @t337) (= @t88 @t337) @t398))) @t330)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t437) @t405 (exists @t335 (and (tptp.ordinal @t332) (= @t76 @t332) @t406))))))))))) % 1.02/1.24 (assume @p333 (forall @t6 (=> @t342 (forall @t106 (exists @t100 (forall @t98 (= @t131 (and (tptp.in @t88 @t392) (exists @t409 (and @t438 @t386 (exists @t335 (and (= @t188 @t332) (tptp.in @t337 @t332) (forall @t334 (=> @t333 (tptp.in (tptp.ordered_pair @t337 @t331) @t2))))))))))))))) % 1.02/1.24 (assume @p334 (forall @t6 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t43) (exists @t191 (and (= @t189 @t76) @t104 (= @t188 (tptp.singleton @t88)))))))))) % 1.02/1.24 (assume @p335 (forall @t13 (=> @t32 (exists @t11 (forall @t106 (= @t159 (and (tptp.in @t41 @t153) (exists @t100 (and @t367 @t77 @t382))))))))) % 1.02/1.24 (assume @p336 (forall @t6 (=> @t291 (exists @t106 (forall @t100 (= @t99 (and @t440 @t439))))))) % 1.02/1.24 (assume @p337 (forall @t6 (=> @t416 (exists @t106 (forall @t100 (= @t99 (and @t440 @t415))))))) % 1.02/1.24 (assume @p338 (forall @t6 (=> @t418 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t24) (exists @t98 (and @t96 (= @t76 (tptp.set_difference @t88 @t152))))))))))) % 1.02/1.24 (assume @p339 (forall @t6 (=> @t358 (forall @t106 (exists @t100 (forall @t98 (= @t131 (and (tptp.in @t88 @t425) (exists @t409 (and @t438 (tptp.in @t188 @t350) @t441)))))))))) % 1.02/1.24 (assume @p340 (forall @t6 (=> @t358 (forall @t106 (exists @t100 (forall @t98 (= @t131 (and (tptp.in @t88 @t431) (exists @t409 (and @t438 @t190 @t441)))))))))) % 1.02/1.24 (assume @p341 (forall @t45 (=> @t388 (exists @t100 (forall @t98 (= @t131 (and (tptp.in @t88 @t432) (exists @t409 (and (= @t88 @t408) (tptp.in (tptp.ordered_pair @t385 @t433) @t2)))))))))) % 1.02/1.24 (assume @p342 (forall @t13 (exists @t11 (forall @t106 (= @t159 (and @t78 @t360)))))) % 1.02/1.24 (assume @p343 (forall @t45 (=> @t436 (exists @t100 (forall @t98 (= @t131 (and (tptp.in @t88 @t435) @t434))))))) % 1.02/1.24 (assume @p344 (forall @t6 (=> @t29 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t437) (exists @t98 (and @t412 @t330 @t104))))))))) % 1.02/1.24 (assume @p345 (forall @t6 (=> @t342 (=> (and (forall @t247 (=> (and @t78 @t340 @t336) @t330)) (forall @t106 (not (and @t78 (forall @t100 (not (exists @t329 (and (= @t41 @t326) @t390 @t389)))))))) (exists @t106 (and @t42 @t217 @t215 (forall @t100 (=> @t164 (exists @t380 (and (= @t76 @t376) (tptp.in @t239 @t376) (forall @t379 (=> @t378 (tptp.in (tptp.ordered_pair @t239 @t374) @t2))))))))))))) % 1.02/1.24 (assume @p346 (forall @t13 (=> (and (forall @t139 (=> (and @t3 @t344 @t343) @t77)) (forall @t11 (not (and @t3 (forall @t106 (not @t344)))))) @t444))) % 1.02/1.24 (assume @p347 (forall @t6 (=> @t358 (=> (and (forall @t247 (=> (and @t354 @t356 @t353) @t330)) (forall @t106 (not (and @t354 @t446)))) (exists @t106 (and @t42 @t217 (= @t214 @t350) (forall @t100 (=> @t351 @t445)))))))) % 1.02/1.24 (assume @p348 (forall @t6 (=> @t358 (=> (and (forall @t247 (=> (and @t159 @t356 @t353) @t330)) (forall @t106 (not (and @t159 @t446)))) (exists @t106 (and @t42 @t217 (= @t214 @t2) (forall @t100 (=> @t91 @t445)))))))) % 1.02/1.24 (assume @p349 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t106 (=> (tptp.element @t41 (tptp.powerset @t263)) (not (and @t202 (forall @t100 (not (and @t99 (forall @t98 (=> (and (tptp.in @t88 @t41) (tptp.subset @t76 @t88)) @t405))))))))))))) (=> @t447 (forall @t245 (=> (tptp.element @t188 @t249) @t411)))))) (forall @t13 (=> @t32 (=> @t447 (forall @t334 (=> (tptp.element @t331 @t249) (not (and (not (= @t331 tptp.empty_set)) (forall @t329 (not (and @t397 (forall @t328 (=> (and (tptp.in @t325 @t331) (tptp.subset @t326 @t325)) (= @t325 @t326))))))))))))))) % 1.02/1.24 (assume @p350 (forall @t13 @t444)) % 1.02/1.24 (assume @p351 (forall @t6 (=> @t291 (exists @t106 (and @t193 (forall @t100 (=> @t448 (= @t99 @t439)))))))) % 1.02/1.24 (assume @p352 (forall @t6 (=> @t416 (exists @t106 (and @t193 (forall @t100 (=> @t448 (= @t99 @t415)))))))) % 1.02/1.24 (assume @p353 (forall @t6 (=> @t242 (tptp.disjoint @t2 @t1)))) % 1.02/1.24 (assume @p354 (forall @t6 (=> @t218 (tptp.equipotent @t2 @t1)))) % 1.02/1.24 (assume @p355 (forall @t13 (tptp.in @t1 @t153))) % 1.02/1.24 (assume @p356 (forall @t6 (=> @t250 (and @t450 (not (and (not @t449) @t143)))))) % 1.02/1.24 (assume @p357 (forall @t132 (not (and (= @t53 (tptp.unordered_pair @t41 @t76)) (not @t451) (not (= @t1 @t76)))))) % 1.02/1.24 (assume @p358 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t213)))))) % 1.02/1.24 (assume @p359 (forall @t6 (=> @t84 (tptp.subset @t452 @t1)))) % 1.02/1.24 (assume @p360 (forall @t6 (=> @t84 (tptp.subset @t105 @t2)))) % 1.02/1.24 (assume @p361 (forall @t6 (=> @t84 (tptp.subset @t452 @t134)))) % 1.02/1.24 (assume @p362 (forall @t45 (=> @t86 (and (tptp.subset @t392 @t431) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 1.02/1.24 (assume @p363 (forall @t6 (=> @t84 (= @t452 (tptp.set_intersection2 @t134 @t1))))) % 1.02/1.24 (assume @p364 (forall @t132 (=> (and @t86 @t173) (tptp.subset @t392 (tptp.cartesian_product2 @t2 @t76))))) % 1.02/1.24 (assume @p365 (forall @t6 (=> @t250 (=> @t177 (= @t453 (tptp.subset_complement @t1 @t265)))))) % 1.02/1.24 (assume @p366 (forall @t45 (=> @t145 (and (tptp.subset @t214 @t1) (tptp.subset @t213 @t2))))) % 1.02/1.24 (assume @p367 (forall @t6 (=> @t250 (=> @t177 (= @t454 (tptp.subset_complement @t1 @t267)))))) % 1.02/1.24 (assume @p368 (forall @t6 (=> @t86 (= @t55 @t2)))) % 1.02/1.24 (assume @p369 (forall @t13 (exists @t11 (and @t5 @t457 (forall @t106 (=> @t159 (tptp.in @t456 @t2))) @t455)))) % 1.02/1.24 (assume @p370 (forall @t13 (=> @t128 (= @t195 (forall @t11 (=> @t158 (not (and (tptp.centered @t2) @t186 (= @t458 tptp.empty_set))))))))) % 1.02/1.24 (assume @p371 (forall @t6 (=> (and @t86 @t48) @t33))) % 1.02/1.24 (assume @p372 (forall @t13 (=> @t167 (forall @t11 (=> @t158 (= (tptp.finite @t350) @t48)))))) % 1.02/1.24 (assume @p373 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t459))))) % 1.02/1.24 (assume @p374 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t100 (and (tptp.in @t76 @t214) (tptp.in (tptp.ordered_pair @t76 @t1) @t41) @t91)))))) % 1.02/1.24 (assume @p375 (forall @t6 (=> @t84 (tptp.subset @t460 @t134)))) % 1.02/1.24 (assume @p376 (forall @t6 (=> @t303 (tptp.subset @t462 @t1)))) % 1.02/1.24 (assume @p377 (forall @t6 (=> @t84 (= @t460 (tptp.relation_image @t2 @t463))))) % 1.02/1.24 (assume @p378 (forall @t6 (=> @t84 (=> (tptp.subset @t1 @t133) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t460)))))) % 1.02/1.24 (assume @p379 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t97) @t221)))) % 1.02/1.24 (assume @p380 (forall @t6 (=> @t303 (=> @t464 (= @t462 @t1))))) % 1.02/1.24 (assume @p381 (forall @t132 (=> @t467 (=> (tptp.subset @t466 @t2) @t465)))) % 1.02/1.24 (assume @p382 (forall @t13 (=> @t167 (forall @t11 (=> @t116 (= (tptp.subset_intersection2 @t57 @t2 @t200) @t2)))))) % 1.02/1.24 (assume @p383 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t468 (tptp.relation_image @t2 @t221))))))) % 1.02/1.24 (assume @p384 (forall @t45 (=> @t42 (= (tptp.in @t1 @t469) (exists @t100 (and (tptp.in @t76 @t213) (tptp.in (tptp.ordered_pair @t1 @t76) @t41) @t91)))))) % 1.02/1.24 (assume @p385 (forall @t6 (=> @t84 (tptp.subset @t461 @t133)))) % 1.02/1.24 (assume @p386 (forall @t132 (=> @t467 (=> @t86 @t465)))) % 1.02/1.24 (assume @p387 (forall @t13 (=> @t117 (forall @t11 (=> @t158 (= @t186 (tptp.open_subsets @t350 @t1))))))) % 1.02/1.24 (assume @p388 (forall @t45 (=> @t42 (= (tptp.in @t1 @t470) (and @t318 (tptp.in @t1 @t235)))))) % 1.02/1.24 (assume @p389 (forall @t6 (=> @t84 (not (and @t165 @t464 (= @t461 tptp.empty_set)))))) % 1.02/1.24 (assume @p390 (forall @t45 (=> @t42 (=> @t86 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t469))))) % 1.02/1.24 (assume @p391 (forall @t6 (=> @t303 (=> @t33 (tptp.finite @t460))))) % 1.02/1.24 (assume @p392 (forall @t13 (=> @t167 (forall @t11 (=> @t116 (= @t168 @t233)))))) % 1.02/1.24 (assume @p393 (forall @t13 (=> @t117 (forall @t11 (=> @t158 (= @t171 (tptp.closed_subsets @t350 @t1))))))) % 1.02/1.24 (assume @p394 (forall @t6 (=> @t84 (= @t471 (tptp.relation_dom_restriction @t105 @t1))))) % 1.02/1.24 (assume @p395 (forall @t6 (tptp.subset @t66 @t1))) % 1.02/1.24 (assume @p396 (forall @t13 (=> @t33 (forall @t11 (=> @t250 (not (and @t177 (forall @t106 (not (and @t159 (forall @t100 (=> (and @t91 @t173) @t410)))))))))))) % 1.02/1.24 (assume @p397 (forall @t6 (=> @t84 (= @t471 (tptp.relation_rng_restriction @t1 @t472))))) % 1.02/1.24 (assume @p398 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t470)) (and @t474 @t5))))) % 1.02/1.24 (assume @p399 (forall @t45 (=> (and @t86 @t475) (tptp.subset @t1 @t323)))) % 1.02/1.24 (assume @p400 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 1.02/1.24 (assume @p401 (forall @t6 (=> @t5 @t476))) % 1.02/1.24 (assume @p402 (forall @t45 (=> (and @t86 @t383) @t475))) % 1.02/1.24 (assume @p403 (= @t384 (tptp.singleton tptp.empty_set))) % 1.02/1.24 (assume @p404 (forall @t45 (=> @t42 (=> @t478 (and @t477 (tptp.in @t2 @t213)))))) % 1.02/1.24 (assume @p405 (forall @t6 (=> @t84 (and (tptp.subset @t479 @t174) (tptp.subset @t479 @t1))))) % 1.02/1.24 (assume @p406 (forall @t6 (=> @t303 (forall @t106 (=> @t241 (= @t482 (and @t477 (tptp.in @t480 @t133)))))))) % 1.02/1.24 (assume @p407 (forall @t132 (=> @t484 (forall @t98 (=> (and (tptp.relation @t88) (tptp.function @t88)) (=> @t78 (or @t143 (= (tptp.apply (tptp.relation_composition @t76 @t88) @t41) (tptp.apply @t88 @t483))))))))) % 1.02/1.24 (assume @p408 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 1.02/1.24 (assume @p409 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t97 @t221))))) % 1.02/1.24 (assume @p410 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 1.02/1.24 (assume @p411 (forall @t6 (=> @t303 (forall @t106 (=> @t241 (=> @t482 (= (tptp.apply @t481 @t1) (tptp.apply @t2 @t480)))))))) % 1.02/1.24 (assume @p412 (forall @t13 (=> @t167 (forall @t11 (=> @t116 (= (tptp.subset_difference @t57 @t200 @t233) @t2)))))) % 1.02/1.24 (assume @p413 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t100 (not (and @t91 (forall @t98 (not @t92))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 1.02/1.24 (assume @p414 (forall @t6 (=> @t84 (=> @t485 (tptp.reflexive @t471))))) % 1.02/1.24 (assume @p415 (forall @t6 (=> @t303 (forall @t106 (=> @t241 (=> (tptp.in @t1 @t133) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 1.02/1.24 (assume @p416 (forall @t13 (=> (and @t63 @t69 @t243 @t244) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (tptp.below @t1 @t67 @t2)))))))) % 1.02/1.24 (assume @p417 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 1.02/1.24 (assume @p418 (forall @t45 (=> @t145 (= (forall @t100 (not (and @t91 (forall @t98 (not (tptp.in @t118 @t41)))))) (= @t264 @t2))))) % 1.02/1.24 (assume @p419 (forall @t6 (=> @t84 (=> @t486 (tptp.connected @t471))))) % 1.02/1.24 (assume @p420 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t311 @t251 @t4))))))) % 1.02/1.24 (assume @p421 (forall @t6 (=> @t84 (=> @t487 (tptp.transitive @t471))))) % 1.02/1.24 (assume @p422 (forall @t13 (=> (and @t232 @t225) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t253 (tptp.related @t1 @t41 @t2)) @t149)))))))) % 1.02/1.24 (assume @p423 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> @t86 (and (tptp.subset @t97 @t133) (tptp.subset @t221 @t134)))))))) % 1.02/1.24 (assume @p424 (forall @t6 (=> @t84 (=> @t488 (tptp.antisymmetric @t471))))) % 1.02/1.24 (assume @p425 (forall @t6 (=> @t84 (=> @t491 (and @t490 @t489))))) % 1.02/1.24 (assume @p426 (forall @t13 (=> @t103 (=> (tptp.finite @t97) (tptp.finite @t221))))) % 1.02/1.24 (assume @p427 (forall @t13 (=> (and @t63 @t61 @t60) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t196 (tptp.below @t1 @t41 @t2)) @t149)))))))) % 1.02/1.24 (assume @p428 (forall @t13 (=> (and @t224 @t225) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (forall @t100 (=> (tptp.element @t76 @t57) (=> (and @t253 (tptp.related @t1 @t41 @t76)) (tptp.related @t1 @t2 @t76))))))))))) % 1.02/1.24 (assume @p429 (forall @t13 (exists @t11 (and @t84 @t491)))) % 1.02/1.24 (assume @p430 (forall @t45 (=> @t86 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t323)))) % 1.02/1.24 (assume @p431 (forall @t13 (=> @t184 (not (and (forall @t11 (not (and @t3 @t143))) (forall @t11 (=> @t303 (not (and @t443 (forall @t106 (=> @t78 (tptp.in @t442 @t41)))))))))))) % 1.02/1.24 (assume @p432 (forall @t6 (=> @t86 (= @t66 @t1)))) % 1.02/1.24 (assume @p433 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t234 @t300)))))) % 1.02/1.24 (assume @p434 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.02/1.24 (assume @p435 (forall @t6 (=> @t476 (or @t183 @t5)))) % 1.02/1.24 (assume @p436 (forall @t6 (=> (forall @t106 (= @t78 @t159)) @t87))) % 1.02/1.24 (assume @p437 (forall @t13 (tptp.reflexive @t175))) % 1.02/1.24 (assume @p438 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 1.02/1.24 (assume @p439 (forall @t45 (=> @t42 (=> @t478 (and @t474 (tptp.in @t2 @t473)))))) % 1.02/1.24 (assume @p440 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t227 @t302)))))) % 1.02/1.24 (assume @p441 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t85))) @t32))) % 1.02/1.24 (assume @p442 (forall @t6 (=> @t84 (=> @t492 (tptp.well_founded_relation @t471))))) % 1.02/1.24 (assume @p443 (forall @t6 (=> @t29 (not (and @t86 @t165 (forall @t106 (=> @t360 (not (and @t78 (forall @t100 (=> @t367 (=> @t164 (tptp.ordinal_subset @t41 @t76))))))))))))) % 1.02/1.24 (assume @p444 (forall @t6 (=> @t84 (=> @t312 @t489)))) % 1.02/1.24 (assume @p445 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t153 @t2))))))) % 1.02/1.24 (assume @p446 (forall @t45 (=> @t86 (tptp.subset (tptp.set_difference @t1 @t41) @t324)))) % 1.02/1.24 (assume @p447 (forall @t132 (=> (= @t229 @t79) (and @t451 @t180)))) % 1.02/1.24 (assume @p448 (forall @t6 (=> @t303 (= @t83 (and @t443 (forall @t106 (=> @t78 (= @t442 @t41)))))))) % 1.02/1.24 (assume @p449 (forall @t6 (=> @t3 (= (tptp.apply @t82 @t2) @t2)))) % 1.02/1.24 (assume @p450 (forall @t6 (tptp.subset @t219 @t1))) % 1.02/1.24 (assume @p451 (forall @t13 (=> @t40 (and (= @t221 (tptp.relation_dom @t237)) (= @t97 (tptp.relation_rng @t237)))))) % 1.02/1.24 (assume @p452 (forall @t45 (= (tptp.subset @t53 @t41) (and @t318 @t199)))) % 1.02/1.24 (assume @p453 (forall @t6 (=> @t84 (=> (and @t312 (tptp.subset @t1 @t174)) @t490)))) % 1.02/1.24 (assume @p454 (forall @t6 (= @t493 @t55))) % 1.02/1.24 (assume @p455 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 1.02/1.24 (assume @p456 (forall @t45 (not (and @t5 @t199 @t78)))) % 1.02/1.24 (assume @p457 (forall @t6 (= @t319 @t86))) % 1.02/1.24 (assume @p458 (forall @t13 (tptp.transitive @t175))) % 1.02/1.24 (assume @p459 (forall @t6 (and (not (and @t495 (forall @t106 (not @t494)))) (not (and (exists @t106 @t494) @t242))))) % 1.02/1.24 (assume @p460 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t142))) % 1.02/1.24 (assume @p461 (forall @t6 (= (tptp.set_difference @t55 @t2) @t219))) % 1.02/1.24 (assume @p462 (forall @t13 (=> @t32 (= @t226 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t437 @t1)))))))) % 1.02/1.24 (assume @p463 (forall @t13 (=> @t32 (and (not (and (not @t226) (forall @t11 (=> @t29 (not @t496))))) (not (and (exists @t11 (and @t29 @t496)) @t226)))))) % 1.02/1.24 (assume @p464 (forall @t6 (=> @t25 (forall @t106 (=> @t72 (= @t498 (tptp.subset @t2 @t497))))))) % 1.02/1.24 (assume @p465 (forall @t13 (=> @t304 (forall @t11 (=> @t158 (=> @t185 (tptp.closed_subset @t458 @t1))))))) % 1.02/1.24 (assume @p466 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t499 @t97)))))) % 1.02/1.24 (assume @p467 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t169 @t2)))))) % 1.02/1.24 (assume @p468 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t114) (forall @t100 (=> @t448 (=> @t500 @t163))))))))))) % 1.02/1.24 (assume @p469 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t468 @t134)))))) % 1.02/1.24 (assume @p470 (forall @t6 (=> @t86 (= @t2 @t493)))) % 1.02/1.24 (assume @p471 (forall @t132 (=> @t484 (=> @t177 (forall @t98 (= (tptp.in @t88 (tptp.relation_inverse_image @t76 @t41)) (and @t104 (tptp.in (tptp.apply @t76 @t88) @t41)))))))) % 1.02/1.24 (assume @p472 (forall @t13 (=> @t304 (forall @t11 (=> @t116 (exists @t106 (and @t193 (forall @t100 (=> @t448 (= @t99 @t500))) (= @t114 (tptp.meet_of_subsets @t57 @t41))))))))) % 1.02/1.24 (assume @p473 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t221 @t133) (= @t499 @t97))))))) % 1.02/1.24 (assume @p474 (forall @t6 (=> @t250 @t450))) % 1.02/1.24 (assume @p475 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t97 @t134) (= (tptp.relation_rng @t274) @t221))))))) % 1.02/1.24 (assume @p476 (forall @t6 (=> @t250 (=> @t177 (= (tptp.subset_difference @t1 @t209 @t265) @t453))))) % 1.02/1.24 (assume @p477 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t2 @t114)))))) % 1.02/1.24 (assume @p478 (forall @t6 (=> @t250 (=> @t177 (= @t454 (tptp.subset_difference @t1 @t209 @t267)))))) % 1.02/1.24 (assume @p479 (forall @t6 (= (tptp.set_difference @t1 @t219) @t66))) % 1.02/1.24 (assume @p480 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t241 (=> @t240 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 1.02/1.24 (assume @p481 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 1.02/1.24 (assume @p482 (forall @t45 (=> (and @t5 @t501) (tptp.element @t1 @t41)))) % 1.02/1.24 (assume @p483 (forall @t13 (=> @t32 (tptp.connected @t175)))) % 1.02/1.24 (assume @p484 (forall @t6 (and (not (and @t495 (forall @t106 (not @t502)))) (not (and (exists @t106 @t502) @t242))))) % 1.02/1.24 (assume @p485 (forall @t13 (=> @t165 (forall @t11 (=> @t25 (forall @t106 (=> (tptp.element @t41 @t1) (=> @t197 (tptp.in @t41 @t228))))))))) % 1.02/1.24 (assume @p486 (forall @t13 (=> @t304 (forall @t11 (=> @t116 @t308))))) % 1.02/1.24 (assume @p487 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (and (=> @t234 @t503) (=> (and @t127 @t503) @t234))))))) % 1.02/1.24 (assume @p488 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t241 (=> @t240 (and (=> @t211 @t485) (=> @t120 @t487) (=> @t119 @t486) (=> @t108 @t488) (=> @t187 @t492)))))))))) % 1.02/1.24 (assume @p489 (forall @t13 (=> @t103 (=> @t49 (forall @t11 (=> @t303 (= (= @t2 @t252) (and (= @t133 @t221) (forall @t81 (and (=> @t504 @t220) (=> @t220 @t504))))))))))) % 1.02/1.24 (assume @p490 (forall @t45 (=> @t72 (not (and (tptp.in @t2 @t497) @t199))))) % 1.02/1.24 (assume @p491 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t241 (=> (and @t212 @t240) @t312)))))))) % 1.02/1.24 (assume @p492 (forall @t13 (=> @t103 (=> @t49 (and (= @t221 (tptp.relation_dom @t252)) (= @t97 (tptp.relation_rng @t252))))))) % 1.02/1.24 (assume @p493 @t520) % 1.02/1.24 (assume @p494 (forall @t13 (=> @t40 (=> (forall @t95 @t315) @t142)))) % 1.02/1.24 (assume @p495 (forall @t6 (=> @t303 (=> (and @t322 (tptp.in @t1 @t134)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t521 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t521 @t2) @t1))))))) % 1.02/1.24 (assume @p496 @t530) % 1.02/1.24 (assume @p497 (forall @t45 (not (and @t5 @t501 (tptp.empty @t41))))) % 1.02/1.24 (assume @p498 (forall @t13 (=> @t284 (forall @t11 (=> @t158 (not (and @t194 @t143))))))) % 1.02/1.24 (assume @p499 (forall @t13 (=> @t40 (= @t187 (tptp.is_well_founded_in @t1 @t107))))) % 1.02/1.24 (assume @p500 (forall @t13 (tptp.antisymmetric @t175))) % 1.02/1.24 (assume @p501 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 1.02/1.24 (assume @p502 (forall @t6 (not (and @t86 @t7)))) % 1.02/1.24 (assume @p503 (forall @t13 (=> @t103 (=> @t49 (tptp.one_to_one @t252))))) % 1.02/1.24 (assume @p504 (forall @t45 (=> (and @t86 @t498) (tptp.disjoint @t1 @t41)))) % 1.02/1.24 (assume @p505 (forall @t13 (=> @t40 (=> (or @t532 @t531) @t142)))) % 1.02/1.24 (assume @p506 (forall @t13 (=> @t40 (= @t532 @t531)))) % 1.02/1.24 (assume @p507 (forall @t6 (= (= (tptp.set_difference @t1 @t316) @t1) @t4))) % 1.02/1.24 (assume @p508 (forall @t6 (=> @t303 (forall @t106 (=> @t241 (= (= @t2 @t320) (and (= @t133 (tptp.set_intersection2 @t214 @t1)) (forall @t100 (=> (tptp.in @t76 @t133) (= (tptp.apply @t2 @t76) @t239)))))))))) % 1.02/1.24 (assume @p509 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t152))) % 1.02/1.24 (assume @p510 (forall @t13 (=> @t22 @t142))) % 1.02/1.24 (assume @p511 (forall @t132 (=> @t484 (=> @t78 (or @t143 (tptp.in @t483 @t466)))))) % 1.02/1.24 (assume @p512 (forall @t13 (=> @t32 (tptp.well_founded_relation @t175)))) % 1.02/1.24 (assume @p513 (forall @t6 (=> (tptp.subset @t152 @t316) @t87))) % 1.02/1.24 (assume @p514 (forall @t45 (=> @t241 (=> @t321 @t533)))) % 1.02/1.24 (assume @p515 (forall @t13 (and (= (tptp.relation_dom @t82) @t1) (= (tptp.relation_rng @t82) @t1)))) % 1.02/1.24 (assume @p516 (forall @t45 (=> @t241 (=> @t3 @t533)))) % 1.02/1.24 (assume @p517 (forall @t132 (=> @t387 (= (tptp.in @t229 (tptp.relation_composition (tptp.identity_relation @t41) @t76)) (and @t318 (tptp.in @t229 @t76)))))) % 1.02/1.24 (assume @p518 (forall @t6 (not (and @t5 @t183)))) % 1.02/1.24 (assume @p519 (forall @t6 (and (= (tptp.pair_first @t229) @t1) (= (tptp.pair_second @t229) @t2)))) % 1.02/1.24 (assume @p520 (forall @t6 (not (and @t5 (forall @t106 (not (and @t159 (forall @t100 (not (and @t91 @t99)))))))))) % 1.02/1.24 (assume @p521 (forall @t13 (=> @t32 (tptp.well_ordering @t175)))) % 1.02/1.24 (assume @p522 (forall @t6 (tptp.subset @t1 @t55))) % 1.02/1.24 (assume @p523 (forall @t6 (= @t242 (= @t219 @t1)))) % 1.02/1.24 (assume @p524 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t459)) (and @t5 @t477))))) % 1.02/1.24 (assume @p525 (forall @t6 (=> @t84 (tptp.subset @t472 @t2)))) % 1.02/1.24 (assume @p526 (forall @t6 (not (and @t22 @t251 @t183)))) % 1.02/1.24 (assume @p527 (forall @t45 (=> @t241 (= @t478 (and @t477 (= @t2 @t480)))))) % 1.02/1.24 (assume @p528 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t107) @t212)))) % 1.02/1.24 (assume @p529 (forall @t45 (=> (and @t86 @t192) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 1.02/1.24 (assume @p530 (forall @t45 (=> @t534 @t87))) % 1.02/1.24 (assume @p531 (forall @t6 (=> @t84 (= (tptp.relation_dom @t472) @t463)))) % 1.02/1.24 (assume @p532 (forall @t6 (=> @t84 (= @t472 (tptp.relation_composition @t82 @t2))))) % 1.02/1.24 (assume @p533 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_rng @t472) @t134)))) % 1.02/1.24 (assume @p534 (forall @t13 (= (tptp.union @t24) @t1))) % 1.02/1.24 (assume @p535 (forall @t132 (=> @t484 (=> @t383 (or (and @t143 @t165) (and @t256 (tptp.quasi_total @t76 @t1 @t41) (tptp.relation_of2_as_subset @t76 @t1 @t41))))))) % 1.02/1.24 (assume @p536 (forall @t13 (exists @t11 (and @t5 @t457 (forall @t106 (not (and @t159 (forall @t100 (not (and @t91 (forall @t98 (=> (tptp.subset @t88 @t41) @t131)))))))) @t455)))) % 1.02/1.24 (assume @p537 (forall @t45 (=> @t534 @t149))) % 1.02/1.24 (step @p538 :rule evaluate :args ((= false true))) % 1.02/1.24 (step @p539 :rule aci_norm :args ((= @t546 @t544))) % 1.02/1.24 (step @p540 :rule cong :premises (@p539) :args (@t548)) % 1.02/1.24 (step @p541 :rule quant-merge-prenex :args ((= (forall @t13 @t550) @t548))) % 1.02/1.24 (step @p542 :rule alpha_equiv :args (@t551 (@list @t536 @t535) (@list @t2 @t552))) % 1.02/1.24 (step @p543 :rule refl :args (@t542)) % 1.02/1.24 (step @p544 :rule refl :args (@t543)) % 1.02/1.24 (step @p545 :rule refl :args (@t62)) % 1.02/1.24 (step @p546 :rule nary_cong :premises (@p545 @p544 @p543 @p542) :args (@t553)) % 1.02/1.24 (step @p547 :rule quant-miniscope-or :args ((= @t550 @t553))) % 1.02/1.24 (step @p548 :rule trans :premises (@p547 @p546)) % 1.02/1.24 (step @p549 :rule symm :premises (@p548)) % 1.02/1.24 (step @p550 :rule cong :premises (@p549) :args ((forall @t13 @t562))) % 1.02/1.24 (step @p551 :rule trans :premises (@p550 @p541)) % 1.02/1.24 (step @p552 :rule trans :premises (@p551 @p540)) % 1.02/1.24 (step @p553 :rule aci_norm :args ((= (or @t563 @t561) @t562))) % 1.02/1.24 (step @p554 :rule refl :args (@t561)) % 1.02/1.24 (step @p555 :rule bool-double-not-elim :args (@t62)) % 1.02/1.24 (step @p556 :rule nary_cong :premises (@p555 @p544 @p543) :args (@t565)) % 1.02/1.24 (step @p557 :rule aci_norm :args ((= (or @t564 @t566) @t565))) % 1.02/1.24 (step @p558 :rule trans :premises (@p557 @p556)) % 1.02/1.24 (step @p559 :rule bool-and-de-morgan :args (@t127 @t117 true)) % 1.02/1.24 (step @p560 :rule refl :args (@t564)) % 1.02/1.24 (step @p561 :rule nary_cong :premises (@p560 @p559) :args ((or @t564 @t567))) % 1.02/1.24 (step @p562 :rule bool-and-de-morgan :args (@t63 @t127 (and @t117))) % 1.02/1.24 (step @p563 :rule trans :premises (@p562 @p561)) % 1.02/1.24 (step @p564 :rule trans :premises (@p563 @p558)) % 1.02/1.24 (step @p565 :rule nary_cong :premises (@p564 @p554) :args ((or @t568 @t561))) % 1.02/1.24 (step @p566 :rule trans :premises (@p565 @p553)) % 1.02/1.24 (step @p567 :rule bool-impl-elim :args (@t128 @t561)) % 1.02/1.24 (step @p568 :rule trans :premises (@p567 @p566)) % 1.02/1.24 (step @p569 :rule cong :premises (@p568) :args ((forall @t13 (=> @t128 @t561)))) % 1.02/1.24 (step @p570 :rule trans :premises (@p569 @p552)) % 1.02/1.24 (step @p571 :rule aci_norm :args ((= @t570 @t559))) % 1.02/1.24 (step @p572 :rule cong :premises (@p571) :args (@t571)) % 1.02/1.24 (step @p573 :rule quant-merge-prenex :args ((= (forall @t11 @t573) @t571))) % 1.02/1.24 (step @p574 :rule alpha_equiv :args (@t574 (@list @t552) @t575)) % 1.02/1.24 (step @p575 :rule refl :args (@t557)) % 1.02/1.24 (step @p576 :rule refl :args (@t558)) % 1.02/1.24 (step @p577 :rule nary_cong :premises (@p576 @p575 @p574) :args (@t576)) % 1.02/1.24 (step @p578 :rule quant-miniscope-or :args ((= @t573 @t576))) % 1.02/1.24 (step @p579 :rule trans :premises (@p578 @p577)) % 1.02/1.24 (step @p580 :rule symm :premises (@p579)) % 1.02/1.24 (step @p581 :rule cong :premises (@p580) :args ((forall @t11 @t580))) % 1.02/1.24 (step @p582 :rule trans :premises (@p581 @p573)) % 1.02/1.24 (step @p583 :rule trans :premises (@p582 @p572)) % 1.02/1.24 (step @p584 :rule aci_norm :args ((= (or @t558 @t581) @t580))) % 1.02/1.24 (step @p585 :rule bool-impl-elim :args (@t116 @t581)) % 1.02/1.24 (step @p586 :rule trans :premises (@p585 @p584)) % 1.02/1.24 (step @p587 :rule cong :premises (@p586) :args ((forall @t11 (=> @t116 @t581)))) % 1.02/1.24 (step @p588 :rule trans :premises (@p587 @p583)) % 1.02/1.24 (step @p589 :rule quant-miniscope-or :args ((= (forall @t106 @t582) @t581))) % 1.02/1.24 (step @p590 :rule aci_norm :args ((= @t583 @t582))) % 1.02/1.24 (step @p591 :rule cong :premises (@p590) :args ((forall @t106 @t583))) % 1.02/1.24 (step @p592 :rule trans :premises (@p591 @p589)) % 1.02/1.24 (step @p593 :rule aci_norm :args ((= (or @t577 @t584) @t583))) % 1.02/1.24 (step @p594 :rule aci_norm :args ((= (or (or @t557 @t197) @t522) @t584))) % 1.02/1.24 (step @p595 :rule refl :args (@t522)) % 1.02/1.24 (step @p596 :rule bool-and-de-morgan :args (@t227 @t159 true)) % 1.02/1.24 (step @p597 :rule nary_cong :premises (@p596 @p595) :args ((or (not @t523) @t522))) % 1.02/1.24 (step @p598 :rule trans :premises (@p597 @p594)) % 1.02/1.24 (step @p599 :rule bool-impl-elim :args (@t523 @t522)) % 1.02/1.24 (step @p600 :rule trans :premises (@p599 @p598)) % 1.02/1.24 (step @p601 :rule refl :args (@t577)) % 1.02/1.24 (step @p602 :rule nary_cong :premises (@p601 @p600) :args ((or @t577 @t524))) % 1.02/1.24 (step @p603 :rule trans :premises (@p602 @p593)) % 1.02/1.24 (step @p604 :rule bool-impl-elim :args (@t58 @t524)) % 1.02/1.24 (step @p605 :rule trans :premises (@p604 @p603)) % 1.02/1.24 (step @p606 :rule cong :premises (@p605) :args (@t525)) % 1.02/1.24 (step @p607 :rule trans :premises (@p606 @p592)) % 1.02/1.24 (step @p608 :rule refl :args (@t116)) % 1.02/1.24 (step @p609 :rule cong :premises (@p608 @p607) :args (@t526)) % 1.02/1.24 (step @p610 :rule cong :premises (@p609) :args (@t527)) % 1.02/1.24 (step @p611 :rule trans :premises (@p610 @p588)) % 1.02/1.24 (step @p612 :rule refl :args (@t128)) % 1.02/1.24 (step @p613 :rule cong :premises (@p612 @p611) :args (@t528)) % 1.02/1.24 (step @p614 :rule cong :premises (@p613) :args (@t529)) % 1.02/1.24 (step @p615 :rule trans :premises (@p614 @p570)) % 1.02/1.24 (step @p616 :rule cong :premises (@p615) :args (@t530)) % 1.02/1.24 (step @p617 :rule eq_resolve :premises (@p496 @p616)) % 1.02/1.24 (step @p618 :rule skolemize :premises (@p617)) % 1.02/1.24 (step @p619 :rule bool-double-not-elim :args (@t588)) % 1.02/1.24 (step @p620 :rule refl :args (@t604)) % 1.02/1.24 (step @p621 :rule nary_cong :premises (@p620 @p619) :args ((or @t604 (not @t591)))) % 1.02/1.24 (step @p622 :rule cnf_or_neg :args (@t604 6)) % 1.02/1.24 (step @p623 :rule eq_resolve :premises (@p622 @p621)) % 1.02/1.24 (step @p624 :rule reordering :premises (@p623) :args ((or @t588 @t604))) % 1.02/1.24 (step @p625 :rule chain_m_resolution :premises (@p624 @p618) :args (@t588 @t605 @t606)) % 1.02/1.24 (step @p626 :rule true_intro :premises (@p625)) % 1.02/1.24 (step @p627 :rule aci_norm :args ((= @t615 (or @t543 @t542 @t613 @t612 @t611 @t610)))) % 1.02/1.24 (step @p628 :rule cong :premises (@p627) :args (@t616)) % 1.02/1.24 (step @p629 :rule quant-merge-prenex :args ((= (forall @t13 @t618) @t616))) % 1.02/1.24 (step @p630 :rule alpha_equiv :args (@t619 (@list @t609 @t607 @t608) (@list @t2 @t621 @t620))) % 1.02/1.24 (step @p631 :rule nary_cong :premises (@p544 @p543 @p630) :args (@t622)) % 1.02/1.24 (step @p632 :rule quant-miniscope-or :args ((= @t618 @t622))) % 1.02/1.24 (step @p633 :rule trans :premises (@p632 @p631)) % 1.02/1.24 (step @p634 :rule symm :premises (@p633)) % 1.02/1.24 (step @p635 :rule cong :premises (@p634) :args ((forall @t13 @t630))) % 1.02/1.24 (step @p636 :rule trans :premises (@p635 @p629)) % 1.02/1.24 (step @p637 :rule trans :premises (@p636 @p628)) % 1.02/1.24 (step @p638 :rule aci_norm :args ((= (or @t566 @t629) @t630))) % 1.02/1.24 (step @p639 :rule refl :args (@t629)) % 1.02/1.24 (step @p640 :rule nary_cong :premises (@p559 @p639) :args ((or @t567 @t629))) % 1.02/1.24 (step @p641 :rule trans :premises (@p640 @p638)) % 1.02/1.24 (step @p642 :rule bool-impl-elim :args (@t304 @t629)) % 1.02/1.24 (step @p643 :rule trans :premises (@p642 @p641)) % 1.02/1.24 (step @p644 :rule cong :premises (@p643) :args ((forall @t13 (=> @t304 @t629)))) % 1.02/1.24 (step @p645 :rule trans :premises (@p644 @p637)) % 1.02/1.24 (step @p646 :rule aci_norm :args ((= @t632 @t627))) % 1.02/1.24 (step @p647 :rule cong :premises (@p646) :args (@t633)) % 1.02/1.24 (step @p648 :rule quant-merge-prenex :args ((= (forall @t11 @t635) @t633))) % 1.02/1.24 (step @p649 :rule alpha_equiv :args (@t636 (@list @t621 @t620) (@list @t41 @t637))) % 1.02/1.24 (step @p650 :rule refl :args (@t626)) % 1.02/1.24 (step @p651 :rule nary_cong :premises (@p650 @p649) :args (@t638)) % 1.02/1.24 (step @p652 :rule quant-miniscope-or :args ((= @t635 @t638))) % 1.02/1.24 (step @p653 :rule trans :premises (@p652 @p651)) % 1.02/1.24 (step @p654 :rule symm :premises (@p653)) % 1.02/1.24 (step @p655 :rule cong :premises (@p654) :args ((forall @t11 (or @t626 @t646)))) % 1.02/1.24 (step @p656 :rule trans :premises (@p655 @p648)) % 1.02/1.24 (step @p657 :rule trans :premises (@p656 @p647)) % 1.02/1.24 (step @p658 :rule bool-impl-elim :args (@t516 @t646)) % 1.02/1.24 (step @p659 :rule cong :premises (@p658) :args ((forall @t11 (=> @t516 @t646)))) % 1.02/1.24 (step @p660 :rule trans :premises (@p659 @p657)) % 1.02/1.24 (step @p661 :rule aci_norm :args ((= @t648 @t644))) % 1.02/1.24 (step @p662 :rule cong :premises (@p661) :args (@t649)) % 1.02/1.24 (step @p663 :rule quant-merge-prenex :args ((= (forall @t106 @t651) @t649))) % 1.02/1.24 (step @p664 :rule alpha_equiv :args (@t652 (@list @t637) (@list @t76))) % 1.02/1.24 (step @p665 :rule refl :args (@t643)) % 1.02/1.24 (step @p666 :rule nary_cong :premises (@p665 @p664) :args (@t653)) % 1.02/1.24 (step @p667 :rule quant-miniscope-or :args ((= @t651 @t653))) % 1.02/1.24 (step @p668 :rule trans :premises (@p667 @p666)) % 1.02/1.24 (step @p669 :rule symm :premises (@p668)) % 1.02/1.24 (step @p670 :rule cong :premises (@p669) :args ((forall @t106 (or @t643 @t656)))) % 1.02/1.24 (step @p671 :rule trans :premises (@p670 @p663)) % 1.02/1.24 (step @p672 :rule trans :premises (@p671 @p662)) % 1.02/1.24 (step @p673 :rule bool-impl-elim :args (@t115 @t656)) % 1.02/1.24 (step @p674 :rule cong :premises (@p673) :args ((forall @t106 (=> @t115 @t656)))) % 1.02/1.24 (step @p675 :rule trans :premises (@p674 @p672)) % 1.02/1.24 (step @p676 :rule bool-impl-elim :args (@t639 @t170)) % 1.02/1.24 (step @p677 :rule bool-impl-elim :args (@t507 @t654)) % 1.02/1.24 (step @p678 :rule nary_cong :premises (@p677 @p676) :args (@t657)) % 1.02/1.24 (step @p679 :rule refl :args (@t655)) % 1.02/1.24 (step @p680 :rule nary_cong :premises (@p679 @p678) :args ((or @t655 @t657))) % 1.02/1.24 (step @p681 :rule bool-impl-elim :args (@t511 @t657)) % 1.02/1.24 (step @p682 :rule trans :premises (@p681 @p680)) % 1.02/1.24 (step @p683 :rule cong :premises (@p682) :args ((forall @t100 (=> @t511 @t657)))) % 1.02/1.24 (step @p684 :rule refl :args (@t170)) % 1.02/1.24 (step @p685 :rule eq-symm :args (@t121 @t41)) % 1.02/1.24 (step @p686 :rule cong :premises (@p685 @p684) :args (@t505)) % 1.02/1.24 (step @p687 :rule eq-symm :args (@t506 @t76)) % 1.02/1.24 (step @p688 :rule refl :args (@t507)) % 1.02/1.24 (step @p689 :rule cong :premises (@p688 @p687) :args (@t508)) % 1.02/1.24 (step @p690 :rule nary_cong :premises (@p689 @p686) :args (@t509)) % 1.02/1.24 (step @p691 :rule refl :args (@t511)) % 1.02/1.24 (step @p692 :rule cong :premises (@p691 @p690) :args (@t512)) % 1.02/1.24 (step @p693 :rule cong :premises (@p692) :args (@t513)) % 1.02/1.24 (step @p694 :rule trans :premises (@p693 @p683)) % 1.02/1.24 (step @p695 :rule refl :args (@t115)) % 1.02/1.24 (step @p696 :rule cong :premises (@p695 @p694) :args (@t514)) % 1.02/1.24 (step @p697 :rule cong :premises (@p696) :args (@t515)) % 1.02/1.24 (step @p698 :rule trans :premises (@p697 @p675)) % 1.02/1.24 (step @p699 :rule refl :args (@t516)) % 1.02/1.24 (step @p700 :rule cong :premises (@p699 @p698) :args (@t517)) % 1.02/1.24 (step @p701 :rule cong :premises (@p700) :args (@t518)) % 1.02/1.24 (step @p702 :rule trans :premises (@p701 @p660)) % 1.02/1.24 (step @p703 :rule refl :args (@t304)) % 1.02/1.24 (step @p704 :rule cong :premises (@p703 @p702) :args (@t519)) % 1.02/1.24 (step @p705 :rule cong :premises (@p704) :args (@t520)) % 1.02/1.24 (step @p706 :rule trans :premises (@p705 @p645)) % 1.02/1.24 (step @p707 :rule eq_resolve :premises (@p493 @p706)) % 1.02/1.24 (step @p708 :rule instantiate :premises (@p707) :args ((@list @t589 @t589 @t586 @t586))) % 1.02/1.24 (step @p709 :rule bool-double-not-elim :args (@t597)) % 1.02/1.24 (step @p710 :rule nary_cong :premises (@p620 @p709) :args ((or @t604 (not @t598)))) % 1.02/1.24 (step @p711 :rule cnf_or_neg :args (@t604 3)) % 1.02/1.24 (step @p712 :rule eq_resolve :premises (@p711 @p710)) % 1.02/1.24 (step @p713 :rule reordering :premises (@p712) :args ((or @t597 @t604))) % 1.02/1.24 (step @p714 :rule chain_m_resolution :premises (@p713 @p618) :args (@t597 @t605 @t606)) % 1.02/1.24 (step @p715 :rule bool-double-not-elim :args (@t599)) % 1.02/1.24 (step @p716 :rule nary_cong :premises (@p620 @p715) :args ((or @t604 (not @t600)))) % 1.02/1.24 (step @p717 :rule cnf_or_neg :args (@t604 2)) % 1.02/1.24 (step @p718 :rule eq_resolve :premises (@p717 @p716)) % 1.02/1.24 (step @p719 :rule reordering :premises (@p718) :args ((or @t599 @t604))) % 1.02/1.24 (step @p720 :rule chain_m_resolution :premises (@p719 @p618) :args (@t599 @t605 @t606)) % 1.02/1.24 (step @p721 :rule bool-double-not-elim :args (@t601)) % 1.02/1.24 (step @p722 :rule nary_cong :premises (@p620 @p721) :args ((or @t604 (not @t602)))) % 1.02/1.24 (step @p723 :rule cnf_or_neg :args (@t604 1)) % 1.02/1.24 (step @p724 :rule eq_resolve :premises (@p723 @p722)) % 1.02/1.24 (step @p725 :rule reordering :premises (@p724) :args ((or @t601 @t604))) % 1.02/1.24 (step @p726 :rule chain_m_resolution :premises (@p725 @p618) :args (@t601 @t605 @t606)) % 1.02/1.24 (step @p727 :rule cnf_or_pos :args (@t662)) % 1.02/1.24 (step @p728 :rule factoring :premises (@p727)) % 1.02/1.24 (step @p729 :rule reordering :premises (@p728) :args ((or @t602 @t600 @t598 @t661 (not @t662)))) % 1.02/1.24 (step @p730 :rule chain_m_resolution :premises (@p729 @p726 @p720 @p714 @p708) :args (@t661 (@list false false false false) (@list @t601 @t599 @t597 @t662))) % 1.02/1.24 (step @p731 :rule cnf_and_pos :args (@t661 0)) % 1.02/1.24 (step @p732 :rule reordering :premises (@p731) :args ((or @t660 (not @t661)))) % 1.02/1.24 (step @p733 :rule chain_m_resolution :premises (@p732 @p730) :args (@t660 (@list false) (@list @t661))) % 1.02/1.24 (step @p734 :rule bool-double-not-elim :args (@t595)) % 1.02/1.24 (step @p735 :rule nary_cong :premises (@p620 @p734) :args ((or @t604 (not @t596)))) % 1.02/1.24 (step @p736 :rule cnf_or_neg :args (@t604 4)) % 1.02/1.24 (step @p737 :rule eq_resolve :premises (@p736 @p735)) % 1.02/1.24 (step @p738 :rule reordering :premises (@p737) :args ((or @t595 @t604))) % 1.02/1.24 (step @p739 :rule chain_m_resolution :premises (@p738 @p618) :args (@t595 @t605 @t606)) % 1.02/1.24 (step @p740 :rule cnf_or_pos :args (@t660)) % 1.02/1.24 (step @p741 :rule reordering :premises (@p740) :args ((or @t596 @t659 (not @t660)))) % 1.02/1.24 (step @p742 :rule chain_m_resolution :premises (@p741 @p739 @p733) :args (@t659 (@list false false) (@list @t595 @t660))) % 1.02/1.24 (step @p743 :rule symm :premises (@p742)) % 1.02/1.24 (step @p744 :rule refl :args (@t587)) % 1.02/1.24 (step @p745 :rule cong :premises (@p744 @p743) :args (@t663)) % 1.02/1.24 (step @p746 :rule aci_norm :args ((= @t670 (or @t62 @t543 @t542 @t668 @t667 @t666)))) % 1.02/1.24 (step @p747 :rule cong :premises (@p746) :args (@t671)) % 1.02/1.24 (step @p748 :rule quant-merge-prenex :args ((= (forall @t13 @t673) @t671))) % 1.02/1.24 (step @p749 :rule alpha_equiv :args (@t674 (@list @t665 @t664) (@list @t2 @t675))) % 1.02/1.24 (step @p750 :rule nary_cong :premises (@p545 @p544 @p543 @p749) :args (@t676)) % 1.02/1.24 (step @p751 :rule quant-miniscope-or :args ((= @t673 @t676))) % 1.02/1.24 (step @p752 :rule trans :premises (@p751 @p750)) % 1.02/1.24 (step @p753 :rule symm :premises (@p752)) % 1.02/1.24 (step @p754 :rule cong :premises (@p753) :args ((forall @t13 @t683))) % 1.02/1.24 (step @p755 :rule trans :premises (@p754 @p748)) % 1.02/1.24 (step @p756 :rule trans :premises (@p755 @p747)) % 1.02/1.24 (step @p757 :rule aci_norm :args ((= (or @t563 @t682) @t683))) % 1.02/1.24 (step @p758 :rule refl :args (@t682)) % 1.02/1.24 (step @p759 :rule nary_cong :premises (@p564 @p758) :args ((or @t568 @t682))) % 1.02/1.24 (step @p760 :rule trans :premises (@p759 @p757)) % 1.02/1.24 (step @p761 :rule bool-impl-elim :args (@t128 @t682)) % 1.02/1.24 (step @p762 :rule trans :premises (@p761 @p760)) % 1.02/1.24 (step @p763 :rule cong :premises (@p762) :args ((forall @t13 (=> @t128 @t682)))) % 1.02/1.24 (step @p764 :rule trans :premises (@p763 @p756)) % 1.02/1.24 (step @p765 :rule aci_norm :args ((= @t685 @t680))) % 1.02/1.24 (step @p766 :rule cong :premises (@p765) :args (@t686)) % 1.02/1.24 (step @p767 :rule quant-merge-prenex :args ((= (forall @t11 @t688) @t686))) % 1.02/1.24 (step @p768 :rule alpha_equiv :args (@t689 (@list @t675) @t575)) % 1.02/1.24 (step @p769 :rule refl :args (@t679)) % 1.02/1.24 (step @p770 :rule nary_cong :premises (@p769 @p768) :args (@t690)) % 1.02/1.24 (step @p771 :rule quant-miniscope-or :args ((= @t688 @t690))) % 1.02/1.24 (step @p772 :rule trans :premises (@p771 @p770)) % 1.02/1.24 (step @p773 :rule symm :premises (@p772)) % 1.02/1.24 (step @p774 :rule cong :premises (@p773) :args ((forall @t11 (or @t679 @t691)))) % 1.02/1.24 (step @p775 :rule trans :premises (@p774 @p767)) % 1.02/1.24 (step @p776 :rule trans :premises (@p775 @p766)) % 1.02/1.24 (step @p777 :rule bool-impl-elim :args (@t59 @t691)) % 1.02/1.24 (step @p778 :rule cong :premises (@p777) :args ((forall @t11 (=> @t59 @t691)))) % 1.02/1.24 (step @p779 :rule trans :premises (@p778 @p776)) % 1.02/1.24 (step @p780 :rule bool-impl-elim :args (@t115 @t123)) % 1.02/1.24 (step @p781 :rule cong :premises (@p780) :args (@t124)) % 1.02/1.24 (step @p782 :rule refl :args (@t59)) % 1.02/1.24 (step @p783 :rule cong :premises (@p782 @p781) :args (@t125)) % 1.02/1.24 (step @p784 :rule cong :premises (@p783) :args (@t126)) % 1.02/1.24 (step @p785 :rule trans :premises (@p784 @p779)) % 1.02/1.24 (step @p786 :rule cong :premises (@p612 @p785) :args (@t129)) % 1.02/1.24 (step @p787 :rule cong :premises (@p786) :args (@t130)) % 1.02/1.24 (step @p788 :rule trans :premises (@p787 @p764)) % 1.02/1.24 (step @p789 :rule eq_resolve :premises (@p51 @p788)) % 1.02/1.24 (step @p790 :rule instantiate :premises (@p789) :args ((@list @t589 @t587 @t586))) % 1.02/1.24 (step @p791 :rule bool-double-not-elim :args (@t593)) % 1.02/1.24 (step @p792 :rule nary_cong :premises (@p620 @p791) :args ((or @t604 (not @t594)))) % 1.02/1.24 (step @p793 :rule cnf_or_neg :args (@t604 5)) % 1.02/1.24 (step @p794 :rule eq_resolve :premises (@p793 @p792)) % 1.02/1.24 (step @p795 :rule reordering :premises (@p794) :args ((or @t593 @t604))) % 1.02/1.24 (step @p796 :rule chain_m_resolution :premises (@p795 @p618) :args (@t593 @t605 @t606)) % 1.02/1.24 (step @p797 :rule cnf_or_neg :args (@t604 0)) % 1.02/1.24 (step @p798 :rule chain_m_resolution :premises (@p797 @p618) :args ((not @t603) @t605 @t606)) % 1.02/1.24 (step @p799 :rule cnf_or_pos :args (@t693)) % 1.02/1.24 (step @p800 :rule reordering :premises (@p799) :args ((or @t603 @t602 @t600 @t598 @t594 @t692 (not @t693)))) % 1.02/1.24 (step @p801 :rule chain_m_resolution :premises (@p800 @p798 @p726 @p720 @p714 @p796 @p790) :args (@t692 (@list true false false false false false) (@list @t603 @t601 @t599 @t597 @t593 @t693))) % 1.02/1.24 (step @p802 :rule cnf_or_neg :args (@t604 7)) % 1.02/1.24 (step @p803 :rule chain_m_resolution :premises (@p802 @p618) :args ((not @t590) @t605 @t606)) % 1.02/1.24 (step @p804 :rule cnf_equiv_pos2 :args (@t692)) % 1.02/1.24 (step @p805 :rule reordering :premises (@p804) :args ((or @t590 @t694 (not @t692)))) % 1.02/1.24 (step @p806 :rule chain_m_resolution :premises (@p805 @p803 @p801) :args (@t694 (@list true false) (@list @t590 @t692))) % 1.02/1.24 (step @p807 :rule false_intro :premises (@p806)) % 1.02/1.24 (step @p808 :rule symm :premises (@p807)) % 1.02/1.24 (step @p809 :rule trans :premises (@p808 @p745 @p626)) % 1.02/1.24 (step @p810 false :rule eq_resolve :premises (@p809 @p538)) % 1.02/1.24 ) % 1.02/1.24 % SZS output end Proof % 1.02/1.24 % cvc5 exiting %------------------------------------------------------------------------------