TSTP Solution File: SEU391+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SEU391+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 16:25:23 EDT 2023

% Result   : Theorem 10.23s 10.31s
% Output   : CNFRefutation 10.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  823
% Syntax   : Number of formulae    :  877 (  18 unt; 812 typ;   0 def)
%            Number of atoms       :  234 (  31 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  263 (  94   ~; 105   |;  41   &)
%                                         (   7 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 1628 ( 748   >; 880   *;   0   +;   0  <<)
%            Number of predicates  :  144 ( 142 usr;   2 prp; 0-3 aty)
%            Number of functors    :  670 ( 670 usr;  63 con; 0-7 aty)
%            Number of variables   :   98 (   0 sgn;  57   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    rel_str: $i > $o ).

tff(decl_23,type,
    strict_rel_str: $i > $o ).

tff(decl_24,type,
    the_carrier: $i > $i ).

tff(decl_25,type,
    the_InternalRel: $i > $i ).

tff(decl_26,type,
    rel_str_of: ( $i * $i ) > $i ).

tff(decl_27,type,
    latt_str: $i > $o ).

tff(decl_28,type,
    strict_latt_str: $i > $o ).

tff(decl_29,type,
    the_L_join: $i > $i ).

tff(decl_30,type,
    the_L_meet: $i > $i ).

tff(decl_31,type,
    latt_str_of: ( $i * $i * $i ) > $i ).

tff(decl_32,type,
    one_sorted_str: $i > $o ).

tff(decl_33,type,
    net_str: ( $i * $i ) > $o ).

tff(decl_34,type,
    strict_net_str: ( $i * $i ) > $o ).

tff(decl_35,type,
    the_mapping: ( $i * $i ) > $i ).

tff(decl_36,type,
    net_str_of: ( $i * $i * $i * $i ) > $i ).

tff(decl_37,type,
    in: ( $i * $i ) > $o ).

tff(decl_38,type,
    proper_subset: ( $i * $i ) > $o ).

tff(decl_39,type,
    v1_membered: $i > $o ).

tff(decl_40,type,
    element: ( $i * $i ) > $o ).

tff(decl_41,type,
    v1_xcmplx_0: $i > $o ).

tff(decl_42,type,
    empty_carrier: $i > $o ).

tff(decl_43,type,
    reflexive_relstr: $i > $o ).

tff(decl_44,type,
    complete_relstr: $i > $o ).

tff(decl_45,type,
    up_complete_relstr: $i > $o ).

tff(decl_46,type,
    join_complete_relstr: $i > $o ).

tff(decl_47,type,
    boolean_relstr: $i > $o ).

tff(decl_48,type,
    transitive_relstr: $i > $o ).

tff(decl_49,type,
    antisymmetric_relstr: $i > $o ).

tff(decl_50,type,
    with_suprema_relstr: $i > $o ).

tff(decl_51,type,
    with_infima_relstr: $i > $o ).

tff(decl_52,type,
    upper_bounded_relstr: $i > $o ).

tff(decl_53,type,
    distributive_relstr: $i > $o ).

tff(decl_54,type,
    heyting_relstr: $i > $o ).

tff(decl_55,type,
    v2_membered: $i > $o ).

tff(decl_56,type,
    v1_xreal_0: $i > $o ).

tff(decl_57,type,
    lower_bounded_relstr: $i > $o ).

tff(decl_58,type,
    v3_membered: $i > $o ).

tff(decl_59,type,
    v1_rat_1: $i > $o ).

tff(decl_60,type,
    bounded_relstr: $i > $o ).

tff(decl_61,type,
    v4_membered: $i > $o ).

tff(decl_62,type,
    v1_int_1: $i > $o ).

tff(decl_63,type,
    v5_membered: $i > $o ).

tff(decl_64,type,
    natural: $i > $o ).

tff(decl_65,type,
    empty: $i > $o ).

tff(decl_66,type,
    powerset: $i > $i ).

tff(decl_67,type,
    ordinal: $i > $o ).

tff(decl_68,type,
    epsilon_transitive: $i > $o ).

tff(decl_69,type,
    epsilon_connected: $i > $o ).

tff(decl_70,type,
    finite: $i > $o ).

tff(decl_71,type,
    preboolean: $i > $o ).

tff(decl_72,type,
    cup_closed: $i > $o ).

tff(decl_73,type,
    diff_closed: $i > $o ).

tff(decl_74,type,
    function: $i > $o ).

tff(decl_75,type,
    relation_of2: ( $i * $i * $i ) > $o ).

tff(decl_76,type,
    v1_partfun1: ( $i * $i * $i ) > $o ).

tff(decl_77,type,
    quasi_total: ( $i * $i * $i ) > $o ).

tff(decl_78,type,
    lattice: $i > $o ).

tff(decl_79,type,
    complete_latt_str: $i > $o ).

tff(decl_80,type,
    join_commutative: $i > $o ).

tff(decl_81,type,
    join_associative: $i > $o ).

tff(decl_82,type,
    meet_commutative: $i > $o ).

tff(decl_83,type,
    meet_associative: $i > $o ).

tff(decl_84,type,
    meet_absorbing: $i > $o ).

tff(decl_85,type,
    join_absorbing: $i > $o ).

tff(decl_86,type,
    lower_bounded_semilattstr: $i > $o ).

tff(decl_87,type,
    upper_bounded_semilattstr: $i > $o ).

tff(decl_88,type,
    bounded_lattstr: $i > $o ).

tff(decl_89,type,
    relation: $i > $o ).

tff(decl_90,type,
    symmetric: $i > $o ).

tff(decl_91,type,
    transitive: $i > $o ).

tff(decl_92,type,
    reflexive: $i > $o ).

tff(decl_93,type,
    cartesian_product2: ( $i * $i ) > $i ).

tff(decl_94,type,
    topological_space: $i > $o ).

tff(decl_95,type,
    top_str: $i > $o ).

tff(decl_96,type,
    open_subset: ( $i * $i ) > $o ).

tff(decl_97,type,
    closed_subset: ( $i * $i ) > $o ).

tff(decl_98,type,
    connected_relstr: $i > $o ).

tff(decl_99,type,
    directed_subset: ( $i * $i ) > $o ).

tff(decl_100,type,
    filtered_subset: ( $i * $i ) > $o ).

tff(decl_101,type,
    v1_yellow_3: $i > $o ).

tff(decl_102,type,
    one_to_one: $i > $o ).

tff(decl_103,type,
    bijective: ( $i * $i * $i ) > $o ).

tff(decl_104,type,
    onto: ( $i * $i * $i ) > $o ).

tff(decl_105,type,
    boundary_set: ( $i * $i ) > $o ).

tff(decl_106,type,
    trivial_carrier: $i > $o ).

tff(decl_107,type,
    omega: $i ).

tff(decl_108,type,
    nowhere_dense: ( $i * $i ) > $o ).

tff(decl_109,type,
    v2_waybel_3: $i > $o ).

tff(decl_110,type,
    v3_waybel_3: $i > $o ).

tff(decl_111,type,
    v1_waybel_2: $i > $o ).

tff(decl_112,type,
    v2_waybel_2: $i > $o ).

tff(decl_113,type,
    boolean_lattstr: $i > $o ).

tff(decl_114,type,
    distributive_lattstr: $i > $o ).

tff(decl_115,type,
    complemented_lattstr: $i > $o ).

tff(decl_116,type,
    modular_lattstr: $i > $o ).

tff(decl_117,type,
    subrelstr: ( $i * $i ) > $o ).

tff(decl_118,type,
    full_subrelstr: ( $i * $i ) > $o ).

tff(decl_119,type,
    complemented_relstr: $i > $o ).

tff(decl_120,type,
    unordered_pair_as_carrier_subset: ( $i * $i * $i ) > $i ).

tff(decl_121,type,
    unordered_pair: ( $i * $i ) > $i ).

tff(decl_122,type,
    set_union2: ( $i * $i ) > $i ).

tff(decl_123,type,
    join_semilatt_str: $i > $o ).

tff(decl_124,type,
    join_commut: ( $i * $i * $i ) > $i ).

tff(decl_125,type,
    set_intersection2: ( $i * $i ) > $i ).

tff(decl_126,type,
    meet_semilatt_str: $i > $o ).

tff(decl_127,type,
    meet_commut: ( $i * $i * $i ) > $i ).

tff(decl_128,type,
    subset_union2: ( $i * $i * $i ) > $i ).

tff(decl_129,type,
    subset_intersection2: ( $i * $i * $i ) > $i ).

tff(decl_130,type,
    ordinal_subset: ( $i * $i ) > $o ).

tff(decl_131,type,
    identity_relation: $i > $i ).

tff(decl_132,type,
    ordered_pair: ( $i * $i ) > $i ).

tff(decl_133,type,
    subset: ( $i * $i ) > $o ).

tff(decl_134,type,
    ex_inf_of_relstr_set: ( $i * $i ) > $o ).

tff(decl_135,type,
    meet_on_relstr: ( $i * $i ) > $i ).

tff(decl_136,type,
    relstr_element_smaller: ( $i * $i * $i ) > $o ).

tff(decl_137,type,
    related: ( $i * $i * $i ) > $o ).

tff(decl_138,type,
    identity_on_carrier: $i > $i ).

tff(decl_139,type,
    identity_as_relation_of: $i > $i ).

tff(decl_140,type,
    relation_dom_restriction: ( $i * $i ) > $i ).

tff(decl_141,type,
    is_eventually_in: ( $i * $i * $i ) > $o ).

tff(decl_142,type,
    apply_netmap: ( $i * $i * $i ) > $i ).

tff(decl_143,type,
    bottom_of_relstr: $i > $i ).

tff(decl_144,type,
    empty_set: $i ).

tff(decl_145,type,
    join_on_relstr: ( $i * $i ) > $i ).

tff(decl_146,type,
    relation_image: ( $i * $i ) > $i ).

tff(decl_147,type,
    relation_dom: $i > $i ).

tff(decl_148,type,
    apply: ( $i * $i ) > $i ).

tff(decl_149,type,
    relation_rng_restriction: ( $i * $i ) > $i ).

tff(decl_150,type,
    antisymmetric: $i > $o ).

tff(decl_151,type,
    relation_field: $i > $i ).

tff(decl_152,type,
    is_antisymmetric_in: ( $i * $i ) > $o ).

tff(decl_153,type,
    is_often_in: ( $i * $i * $i ) > $o ).

tff(decl_154,type,
    directed_relstr: $i > $o ).

tff(decl_155,type,
    subnet: ( $i * $i * $i ) > $o ).

tff(decl_156,type,
    relation_of2_as_subset: ( $i * $i * $i ) > $o ).

tff(decl_157,type,
    function_of_composition: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_158,type,
    apply_on_set_and_struct: ( $i * $i * $i * $i ) > $i ).

tff(decl_159,type,
    relation_inverse_image: ( $i * $i ) > $i ).

tff(decl_160,type,
    meet: ( $i * $i * $i ) > $i ).

tff(decl_161,type,
    topstr_closure: ( $i * $i ) > $i ).

tff(decl_162,type,
    disjoint: ( $i * $i ) > $o ).

tff(decl_163,type,
    subnetstr: ( $i * $i * $i ) > $o ).

tff(decl_164,type,
    preimage_subnetstr: ( $i * $i * $i ) > $i ).

tff(decl_165,type,
    function_invverse_img_as_carrier_subset: ( $i * $i * $i * $i ) > $i ).

tff(decl_166,type,
    connected: $i > $o ).

tff(decl_167,type,
    is_connected_in: ( $i * $i ) > $o ).

tff(decl_168,type,
    relation_restriction_as_relation_of: ( $i * $i ) > $i ).

tff(decl_169,type,
    latt_set_smaller: ( $i * $i * $i ) > $o ).

tff(decl_170,type,
    below: ( $i * $i * $i ) > $o ).

tff(decl_171,type,
    bottom_of_semilattstr: $i > $i ).

tff(decl_172,type,
    is_transitive_in: ( $i * $i ) > $o ).

tff(decl_173,type,
    latt_element_smaller: ( $i * $i * $i ) > $o ).

tff(decl_174,type,
    lim_points_of_net: ( $i * $i ) > $i ).

tff(decl_175,type,
    point_neighbourhood: ( $i * $i * $i ) > $o ).

tff(decl_176,type,
    apply_binary: ( $i * $i * $i ) > $i ).

tff(decl_177,type,
    interior: ( $i * $i ) > $i ).

tff(decl_178,type,
    unordered_triple: ( $i * $i * $i ) > $i ).

tff(decl_179,type,
    relation_rng: $i > $i ).

tff(decl_180,type,
    relation_dom_as_subset: ( $i * $i * $i ) > $i ).

tff(decl_181,type,
    boole_lattice: $i > $i ).

tff(decl_182,type,
    join: ( $i * $i * $i ) > $i ).

tff(decl_183,type,
    apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_184,type,
    pair_first: $i > $i ).

tff(decl_185,type,
    succ: $i > $i ).

tff(decl_186,type,
    singleton: $i > $i ).

tff(decl_187,type,
    the_topology: $i > $i ).

tff(decl_188,type,
    union_of_subsets: ( $i * $i ) > $i ).

tff(decl_189,type,
    is_reflexive_in: ( $i * $i ) > $o ).

tff(decl_190,type,
    set_meet: $i > $i ).

tff(decl_191,type,
    subset_complement: ( $i * $i ) > $i ).

tff(decl_192,type,
    open_subsets: ( $i * $i ) > $o ).

tff(decl_193,type,
    fiber: ( $i * $i ) > $i ).

tff(decl_194,type,
    inclusion_relation: $i > $i ).

tff(decl_195,type,
    neighborhood_system: ( $i * $i ) > $i ).

tff(decl_196,type,
    a_2_0_yellow19: ( $i * $i ) > $i ).

tff(decl_197,type,
    incl_POSet: $i > $i ).

tff(decl_198,type,
    inclusion_order: $i > $i ).

tff(decl_199,type,
    upper_relstr_subset: ( $i * $i ) > $o ).

tff(decl_200,type,
    join_of_latt_set: ( $i * $i ) > $i ).

tff(decl_201,type,
    meet_of_latt_set: ( $i * $i ) > $i ).

tff(decl_202,type,
    a_2_2_lattice3: ( $i * $i ) > $i ).

tff(decl_203,type,
    centered: $i > $o ).

tff(decl_204,type,
    poset_of_lattice: $i > $i ).

tff(decl_205,type,
    k2_lattice3: $i > $i ).

tff(decl_206,type,
    pair_second: $i > $i ).

tff(decl_207,type,
    empty_carrier_subset: $i > $i ).

tff(decl_208,type,
    proper_element: ( $i * $i ) > $o ).

tff(decl_209,type,
    union: $i > $i ).

tff(decl_210,type,
    closed_subsets: ( $i * $i ) > $o ).

tff(decl_211,type,
    well_founded_relation: $i > $o ).

tff(decl_212,type,
    netstr_induced_subset: ( $i * $i * $i ) > $o ).

tff(decl_213,type,
    netstr_restr_to_element: ( $i * $i * $i ) > $i ).

tff(decl_214,type,
    relation_rng_as_subset: ( $i * $i * $i ) > $i ).

tff(decl_215,type,
    boole_POSet: $i > $i ).

tff(decl_216,type,
    compact_top_space: $i > $o ).

tff(decl_217,type,
    is_a_cover_of_carrier: ( $i * $i ) > $o ).

tff(decl_218,type,
    cast_to_el_of_LattPOSet: ( $i * $i ) > $i ).

tff(decl_219,type,
    cast_as_carrier_subset: $i > $i ).

tff(decl_220,type,
    is_well_founded_in: ( $i * $i ) > $o ).

tff(decl_221,type,
    filter_of_net_str: ( $i * $i ) > $i ).

tff(decl_222,type,
    a_2_1_yellow19: ( $i * $i ) > $i ).

tff(decl_223,type,
    cast_to_el_of_lattice: ( $i * $i ) > $i ).

tff(decl_224,type,
    cast_to_subset: $i > $i ).

tff(decl_225,type,
    well_ordering: $i > $o ).

tff(decl_226,type,
    equipotent: ( $i * $i ) > $o ).

tff(decl_227,type,
    set_difference: ( $i * $i ) > $i ).

tff(decl_228,type,
    being_limit_ordinal: $i > $o ).

tff(decl_229,type,
    is_a_convergence_point_of_set: ( $i * $i * $i ) > $o ).

tff(decl_230,type,
    well_orders: ( $i * $i ) > $o ).

tff(decl_231,type,
    subset_difference: ( $i * $i * $i ) > $i ).

tff(decl_232,type,
    relation_restriction: ( $i * $i ) > $i ).

tff(decl_233,type,
    relation_inverse: $i > $i ).

tff(decl_234,type,
    partfun_dom_restriction: ( $i * $i * $i * $i ) > $i ).

tff(decl_235,type,
    relation_isomorphism: ( $i * $i * $i ) > $o ).

tff(decl_236,type,
    ex_sup_of_relstr_set: ( $i * $i ) > $o ).

tff(decl_237,type,
    relstr_set_smaller: ( $i * $i * $i ) > $o ).

tff(decl_238,type,
    relation_of_lattice: $i > $i ).

tff(decl_239,type,
    a_1_0_filter_1: $i > $i ).

tff(decl_240,type,
    relation_composition: ( $i * $i ) > $i ).

tff(decl_241,type,
    complements_of_subsets: ( $i * $i ) > $i ).

tff(decl_242,type,
    apply_on_structs: ( $i * $i * $i * $i ) > $i ).

tff(decl_243,type,
    relation_dom_restr_as_relation_of: ( $i * $i * $i * $i ) > $i ).

tff(decl_244,type,
    function_inverse: $i > $i ).

tff(decl_245,type,
    is_a_cluster_point_of_netstr: ( $i * $i * $i ) > $o ).

tff(decl_246,type,
    full_subnetstr: ( $i * $i * $i ) > $o ).

tff(decl_247,type,
    k10_filter_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_248,type,
    k8_filter_1: ( $i * $i ) > $i ).

tff(decl_249,type,
    ordered_pair_as_product_element: ( $i * $i * $i * $i ) > $i ).

tff(decl_250,type,
    k1_pcomps_1: $i > $i ).

tff(decl_251,type,
    meet_of_subsets: ( $i * $i ) > $i ).

tff(decl_252,type,
    subnetstr_of_element: ( $i * $i * $i ) > $i ).

tff(decl_253,type,
    apply_on_set_and_struct2: ( $i * $i * $i * $i ) > $i ).

tff(decl_254,type,
    apply_as_element: ( $i * $i * $i * $i ) > $i ).

tff(decl_255,type,
    relation_empty_yielding: $i > $o ).

tff(decl_256,type,
    lower_relstr_subset: ( $i * $i ) > $o ).

tff(decl_257,type,
    v1_binop_1: ( $i * $i ) > $o ).

tff(decl_258,type,
    v2_binop_1: ( $i * $i ) > $o ).

tff(decl_259,type,
    dense: ( $i * $i ) > $o ).

tff(decl_260,type,
    below_refl: ( $i * $i * $i ) > $o ).

tff(decl_261,type,
    a_2_3_lattice3: ( $i * $i ) > $i ).

tff(decl_262,type,
    a_3_0_waybel_9: ( $i * $i * $i ) > $i ).

tff(decl_263,type,
    are_equipotent: ( $i * $i ) > $o ).

tff(decl_264,type,
    related_reflexive: ( $i * $i * $i ) > $o ).

tff(decl_265,type,
    epred1_0: $o ).

tff(decl_266,type,
    epred2_3: ( $i * $i * $i ) > $o ).

tff(decl_267,type,
    epred3_2: ( $i * $i ) > $o ).

tff(decl_268,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_269,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_270,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_271,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_272,type,
    esk5_3: ( $i * $i * $i ) > $i ).

tff(decl_273,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_274,type,
    esk7_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_275,type,
    esk8_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_276,type,
    esk9_3: ( $i * $i * $i ) > $i ).

tff(decl_277,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_278,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_279,type,
    esk12_3: ( $i * $i * $i ) > $i ).

tff(decl_280,type,
    esk13_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_281,type,
    esk14_3: ( $i * $i * $i ) > $i ).

tff(decl_282,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_283,type,
    esk16_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_284,type,
    esk17_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_285,type,
    esk18_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_286,type,
    esk19_3: ( $i * $i * $i ) > $i ).

tff(decl_287,type,
    esk20_1: $i > $i ).

tff(decl_288,type,
    esk21_2: ( $i * $i ) > $i ).

tff(decl_289,type,
    esk22_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_290,type,
    esk23_3: ( $i * $i * $i ) > $i ).

tff(decl_291,type,
    esk24_3: ( $i * $i * $i ) > $i ).

tff(decl_292,type,
    esk25_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_293,type,
    esk26_3: ( $i * $i * $i ) > $i ).

tff(decl_294,type,
    esk27_3: ( $i * $i * $i ) > $i ).

tff(decl_295,type,
    esk28_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_296,type,
    esk29_3: ( $i * $i * $i ) > $i ).

tff(decl_297,type,
    esk30_3: ( $i * $i * $i ) > $i ).

tff(decl_298,type,
    esk31_3: ( $i * $i * $i ) > $i ).

tff(decl_299,type,
    esk32_2: ( $i * $i ) > $i ).

tff(decl_300,type,
    esk33_3: ( $i * $i * $i ) > $i ).

tff(decl_301,type,
    esk34_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_302,type,
    esk35_3: ( $i * $i * $i ) > $i ).

tff(decl_303,type,
    esk36_3: ( $i * $i * $i ) > $i ).

tff(decl_304,type,
    esk37_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_305,type,
    esk38_1: $i > $i ).

tff(decl_306,type,
    esk39_1: $i > $i ).

tff(decl_307,type,
    esk40_1: $i > $i ).

tff(decl_308,type,
    esk41_1: $i > $i ).

tff(decl_309,type,
    esk42_2: ( $i * $i ) > $i ).

tff(decl_310,type,
    esk43_2: ( $i * $i ) > $i ).

tff(decl_311,type,
    esk44_2: ( $i * $i ) > $i ).

tff(decl_312,type,
    esk45_2: ( $i * $i ) > $i ).

tff(decl_313,type,
    esk46_1: $i > $i ).

tff(decl_314,type,
    esk47_1: $i > $i ).

tff(decl_315,type,
    esk48_1: $i > $i ).

tff(decl_316,type,
    esk49_2: ( $i * $i ) > $i ).

tff(decl_317,type,
    esk50_2: ( $i * $i ) > $i ).

tff(decl_318,type,
    esk51_1: $i > $i ).

tff(decl_319,type,
    esk52_2: ( $i * $i ) > $i ).

tff(decl_320,type,
    esk53_3: ( $i * $i * $i ) > $i ).

tff(decl_321,type,
    esk54_2: ( $i * $i ) > $i ).

tff(decl_322,type,
    esk55_2: ( $i * $i ) > $i ).

tff(decl_323,type,
    esk56_2: ( $i * $i ) > $i ).

tff(decl_324,type,
    esk57_2: ( $i * $i ) > $i ).

tff(decl_325,type,
    esk58_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_326,type,
    esk59_2: ( $i * $i ) > $i ).

tff(decl_327,type,
    esk60_2: ( $i * $i ) > $i ).

tff(decl_328,type,
    esk61_3: ( $i * $i * $i ) > $i ).

tff(decl_329,type,
    esk62_2: ( $i * $i ) > $i ).

tff(decl_330,type,
    esk63_2: ( $i * $i ) > $i ).

tff(decl_331,type,
    esk64_1: $i > $i ).

tff(decl_332,type,
    esk65_2: ( $i * $i ) > $i ).

tff(decl_333,type,
    esk66_2: ( $i * $i ) > $i ).

tff(decl_334,type,
    esk67_2: ( $i * $i ) > $i ).

tff(decl_335,type,
    esk68_3: ( $i * $i * $i ) > $i ).

tff(decl_336,type,
    esk69_1: $i > $i ).

tff(decl_337,type,
    esk70_2: ( $i * $i ) > $i ).

tff(decl_338,type,
    esk71_2: ( $i * $i ) > $i ).

tff(decl_339,type,
    esk72_1: $i > $i ).

tff(decl_340,type,
    esk73_2: ( $i * $i ) > $i ).

tff(decl_341,type,
    esk74_2: ( $i * $i ) > $i ).

tff(decl_342,type,
    esk75_3: ( $i * $i * $i ) > $i ).

tff(decl_343,type,
    esk76_2: ( $i * $i ) > $i ).

tff(decl_344,type,
    esk77_2: ( $i * $i ) > $i ).

tff(decl_345,type,
    esk78_1: $i > $i ).

tff(decl_346,type,
    esk79_3: ( $i * $i * $i ) > $i ).

tff(decl_347,type,
    esk80_3: ( $i * $i * $i ) > $i ).

tff(decl_348,type,
    esk81_1: $i > $i ).

tff(decl_349,type,
    esk82_1: $i > $i ).

tff(decl_350,type,
    esk83_1: $i > $i ).

tff(decl_351,type,
    esk84_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_352,type,
    esk85_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_353,type,
    esk86_3: ( $i * $i * $i ) > $i ).

tff(decl_354,type,
    esk87_3: ( $i * $i * $i ) > $i ).

tff(decl_355,type,
    esk88_3: ( $i * $i * $i ) > $i ).

tff(decl_356,type,
    esk89_2: ( $i * $i ) > $i ).

tff(decl_357,type,
    esk90_1: $i > $i ).

tff(decl_358,type,
    esk91_1: $i > $i ).

tff(decl_359,type,
    esk92_1: $i > $i ).

tff(decl_360,type,
    esk93_2: ( $i * $i ) > $i ).

tff(decl_361,type,
    esk94_2: ( $i * $i ) > $i ).

tff(decl_362,type,
    esk95_2: ( $i * $i ) > $i ).

tff(decl_363,type,
    esk96_3: ( $i * $i * $i ) > $i ).

tff(decl_364,type,
    esk97_2: ( $i * $i ) > $i ).

tff(decl_365,type,
    esk98_3: ( $i * $i * $i ) > $i ).

tff(decl_366,type,
    esk99_3: ( $i * $i * $i ) > $i ).

tff(decl_367,type,
    esk100_2: ( $i * $i ) > $i ).

tff(decl_368,type,
    esk101_2: ( $i * $i ) > $i ).

tff(decl_369,type,
    esk102_2: ( $i * $i ) > $i ).

tff(decl_370,type,
    esk103_2: ( $i * $i ) > $i ).

tff(decl_371,type,
    esk104_3: ( $i * $i * $i ) > $i ).

tff(decl_372,type,
    esk105_2: ( $i * $i ) > $i ).

tff(decl_373,type,
    esk106_2: ( $i * $i ) > $i ).

tff(decl_374,type,
    esk107_2: ( $i * $i ) > $i ).

tff(decl_375,type,
    esk108_3: ( $i * $i * $i ) > $i ).

tff(decl_376,type,
    esk109_1: $i > $i ).

tff(decl_377,type,
    esk110_3: ( $i * $i * $i ) > $i ).

tff(decl_378,type,
    esk111_2: ( $i * $i ) > $i ).

tff(decl_379,type,
    esk112_2: ( $i * $i ) > $i ).

tff(decl_380,type,
    esk113_1: $i > $i ).

tff(decl_381,type,
    esk114_3: ( $i * $i * $i ) > $i ).

tff(decl_382,type,
    esk115_2: ( $i * $i ) > $i ).

tff(decl_383,type,
    esk116_2: ( $i * $i ) > $i ).

tff(decl_384,type,
    esk117_3: ( $i * $i * $i ) > $i ).

tff(decl_385,type,
    esk118_3: ( $i * $i * $i ) > $i ).

tff(decl_386,type,
    esk119_1: $i > $i ).

tff(decl_387,type,
    esk120_1: $i > $i ).

tff(decl_388,type,
    esk121_2: ( $i * $i ) > $i ).

tff(decl_389,type,
    esk122_2: ( $i * $i ) > $i ).

tff(decl_390,type,
    esk123_2: ( $i * $i ) > $i ).

tff(decl_391,type,
    esk124_2: ( $i * $i ) > $i ).

tff(decl_392,type,
    esk125_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_393,type,
    esk126_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_394,type,
    esk127_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_395,type,
    esk128_3: ( $i * $i * $i ) > $i ).

tff(decl_396,type,
    esk129_3: ( $i * $i * $i ) > $i ).

tff(decl_397,type,
    esk130_2: ( $i * $i ) > $i ).

tff(decl_398,type,
    esk131_3: ( $i * $i * $i ) > $i ).

tff(decl_399,type,
    esk132_3: ( $i * $i * $i ) > $i ).

tff(decl_400,type,
    esk133_3: ( $i * $i * $i ) > $i ).

tff(decl_401,type,
    esk134_1: $i > $i ).

tff(decl_402,type,
    esk135_1: $i > $i ).

tff(decl_403,type,
    esk136_3: ( $i * $i * $i ) > $i ).

tff(decl_404,type,
    esk137_1: $i > $i ).

tff(decl_405,type,
    esk138_1: $i > $i ).

tff(decl_406,type,
    esk139_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_407,type,
    esk140_3: ( $i * $i * $i ) > $i ).

tff(decl_408,type,
    esk141_3: ( $i * $i * $i ) > $i ).

tff(decl_409,type,
    esk142_3: ( $i * $i * $i ) > $i ).

tff(decl_410,type,
    esk143_2: ( $i * $i ) > $i ).

tff(decl_411,type,
    esk144_2: ( $i * $i ) > $i ).

tff(decl_412,type,
    esk145_2: ( $i * $i ) > $i ).

tff(decl_413,type,
    esk146_3: ( $i * $i * $i ) > $i ).

tff(decl_414,type,
    esk147_2: ( $i * $i ) > $i ).

tff(decl_415,type,
    esk148_3: ( $i * $i * $i ) > $i ).

tff(decl_416,type,
    esk149_3: ( $i * $i * $i ) > $i ).

tff(decl_417,type,
    esk150_3: ( $i * $i * $i ) > $i ).

tff(decl_418,type,
    esk151_3: ( $i * $i * $i ) > $i ).

tff(decl_419,type,
    esk152_3: ( $i * $i * $i ) > $i ).

tff(decl_420,type,
    esk153_3: ( $i * $i * $i ) > $i ).

tff(decl_421,type,
    esk154_0: $i ).

tff(decl_422,type,
    esk155_0: $i ).

tff(decl_423,type,
    esk156_0: $i ).

tff(decl_424,type,
    esk157_0: $i ).

tff(decl_425,type,
    esk158_1: $i > $i ).

tff(decl_426,type,
    esk159_0: $i ).

tff(decl_427,type,
    esk160_0: $i ).

tff(decl_428,type,
    esk161_2: ( $i * $i ) > $i ).

tff(decl_429,type,
    esk162_2: ( $i * $i ) > $i ).

tff(decl_430,type,
    esk163_1: $i > $i ).

tff(decl_431,type,
    esk164_2: ( $i * $i ) > $i ).

tff(decl_432,type,
    esk165_1: $i > $i ).

tff(decl_433,type,
    esk166_2: ( $i * $i ) > $i ).

tff(decl_434,type,
    esk167_2: ( $i * $i ) > $i ).

tff(decl_435,type,
    esk168_2: ( $i * $i ) > $i ).

tff(decl_436,type,
    esk169_2: ( $i * $i ) > $i ).

tff(decl_437,type,
    esk170_2: ( $i * $i ) > $i ).

tff(decl_438,type,
    esk171_3: ( $i * $i * $i ) > $i ).

tff(decl_439,type,
    esk172_3: ( $i * $i * $i ) > $i ).

tff(decl_440,type,
    esk173_3: ( $i * $i * $i ) > $i ).

tff(decl_441,type,
    esk174_3: ( $i * $i * $i ) > $i ).

tff(decl_442,type,
    esk175_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_443,type,
    esk176_1: $i > $i ).

tff(decl_444,type,
    esk177_1: $i > $i ).

tff(decl_445,type,
    esk178_1: $i > $i ).

tff(decl_446,type,
    esk179_1: $i > $i ).

tff(decl_447,type,
    esk180_2: ( $i * $i ) > $i ).

tff(decl_448,type,
    esk181_1: $i > $i ).

tff(decl_449,type,
    esk182_1: $i > $i ).

tff(decl_450,type,
    esk183_1: $i > $i ).

tff(decl_451,type,
    esk184_1: $i > $i ).

tff(decl_452,type,
    esk185_2: ( $i * $i ) > $i ).

tff(decl_453,type,
    esk186_0: $i ).

tff(decl_454,type,
    esk187_1: $i > $i ).

tff(decl_455,type,
    esk188_0: $i ).

tff(decl_456,type,
    esk189_1: $i > $i ).

tff(decl_457,type,
    esk190_0: $i ).

tff(decl_458,type,
    esk191_0: $i ).

tff(decl_459,type,
    esk192_0: $i ).

tff(decl_460,type,
    esk193_0: $i ).

tff(decl_461,type,
    esk194_0: $i ).

tff(decl_462,type,
    esk195_0: $i ).

tff(decl_463,type,
    esk196_0: $i ).

tff(decl_464,type,
    esk197_2: ( $i * $i ) > $i ).

tff(decl_465,type,
    esk198_0: $i ).

tff(decl_466,type,
    esk199_0: $i ).

tff(decl_467,type,
    esk200_0: $i ).

tff(decl_468,type,
    esk201_0: $i ).

tff(decl_469,type,
    esk202_0: $i ).

tff(decl_470,type,
    esk203_0: $i ).

tff(decl_471,type,
    esk204_0: $i ).

tff(decl_472,type,
    esk205_0: $i ).

tff(decl_473,type,
    esk206_1: $i > $i ).

tff(decl_474,type,
    esk207_1: $i > $i ).

tff(decl_475,type,
    esk208_1: $i > $i ).

tff(decl_476,type,
    esk209_0: $i ).

tff(decl_477,type,
    esk210_0: $i ).

tff(decl_478,type,
    esk211_0: $i ).

tff(decl_479,type,
    esk212_2: ( $i * $i ) > $i ).

tff(decl_480,type,
    esk213_0: $i ).

tff(decl_481,type,
    esk214_0: $i ).

tff(decl_482,type,
    esk215_0: $i ).

tff(decl_483,type,
    esk216_1: $i > $i ).

tff(decl_484,type,
    esk217_0: $i ).

tff(decl_485,type,
    esk218_1: $i > $i ).

tff(decl_486,type,
    esk219_0: $i ).

tff(decl_487,type,
    esk220_0: $i ).

tff(decl_488,type,
    esk221_0: $i ).

tff(decl_489,type,
    esk222_2: ( $i * $i ) > $i ).

tff(decl_490,type,
    esk223_0: $i ).

tff(decl_491,type,
    esk224_1: $i > $i ).

tff(decl_492,type,
    esk225_1: $i > $i ).

tff(decl_493,type,
    esk226_1: $i > $i ).

tff(decl_494,type,
    esk227_1: $i > $i ).

tff(decl_495,type,
    esk228_0: $i ).

tff(decl_496,type,
    esk229_1: $i > $i ).

tff(decl_497,type,
    esk230_0: $i ).

tff(decl_498,type,
    esk231_0: $i ).

tff(decl_499,type,
    esk232_1: $i > $i ).

tff(decl_500,type,
    esk233_0: $i ).

tff(decl_501,type,
    esk234_0: $i ).

tff(decl_502,type,
    esk235_0: $i ).

tff(decl_503,type,
    esk236_1: $i > $i ).

tff(decl_504,type,
    esk237_0: $i ).

tff(decl_505,type,
    esk238_0: $i ).

tff(decl_506,type,
    esk239_1: $i > $i ).

tff(decl_507,type,
    esk240_1: $i > $i ).

tff(decl_508,type,
    esk241_1: $i > $i ).

tff(decl_509,type,
    esk242_0: $i ).

tff(decl_510,type,
    esk243_1: $i > $i ).

tff(decl_511,type,
    esk244_1: $i > $i ).

tff(decl_512,type,
    esk245_0: $i ).

tff(decl_513,type,
    esk246_1: $i > $i ).

tff(decl_514,type,
    esk247_0: $i ).

tff(decl_515,type,
    esk248_1: $i > $i ).

tff(decl_516,type,
    esk249_1: $i > $i ).

tff(decl_517,type,
    esk250_0: $i ).

tff(decl_518,type,
    esk251_0: $i ).

tff(decl_519,type,
    esk252_1: $i > $i ).

tff(decl_520,type,
    esk253_2: ( $i * $i ) > $i ).

tff(decl_521,type,
    esk254_1: $i > $i ).

tff(decl_522,type,
    esk255_1: $i > $i ).

tff(decl_523,type,
    esk256_2: ( $i * $i ) > $i ).

tff(decl_524,type,
    esk257_1: $i > $i ).

tff(decl_525,type,
    esk258_0: $i ).

tff(decl_526,type,
    esk259_1: $i > $i ).

tff(decl_527,type,
    esk260_2: ( $i * $i ) > $i ).

tff(decl_528,type,
    esk261_2: ( $i * $i ) > $i ).

tff(decl_529,type,
    esk262_2: ( $i * $i ) > $i ).

tff(decl_530,type,
    esk263_2: ( $i * $i ) > $i ).

tff(decl_531,type,
    esk264_2: ( $i * $i ) > $i ).

tff(decl_532,type,
    esk265_2: ( $i * $i ) > $i ).

tff(decl_533,type,
    esk266_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_534,type,
    esk267_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_535,type,
    esk268_1: $i > $i ).

tff(decl_536,type,
    esk269_1: $i > $i ).

tff(decl_537,type,
    esk270_1: $i > $i ).

tff(decl_538,type,
    esk271_1: $i > $i ).

tff(decl_539,type,
    esk272_2: ( $i * $i ) > $i ).

tff(decl_540,type,
    esk273_2: ( $i * $i ) > $i ).

tff(decl_541,type,
    esk274_2: ( $i * $i ) > $i ).

tff(decl_542,type,
    esk275_2: ( $i * $i ) > $i ).

tff(decl_543,type,
    esk276_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_544,type,
    esk277_2: ( $i * $i ) > $i ).

tff(decl_545,type,
    esk278_2: ( $i * $i ) > $i ).

tff(decl_546,type,
    esk279_2: ( $i * $i ) > $i ).

tff(decl_547,type,
    esk280_2: ( $i * $i ) > $i ).

tff(decl_548,type,
    esk281_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_549,type,
    esk282_1: $i > $i ).

tff(decl_550,type,
    esk283_0: $i ).

tff(decl_551,type,
    esk284_2: ( $i * $i ) > $i ).

tff(decl_552,type,
    esk285_0: $i ).

tff(decl_553,type,
    esk286_1: $i > $i ).

tff(decl_554,type,
    esk287_2: ( $i * $i ) > $i ).

tff(decl_555,type,
    esk288_3: ( $i * $i * $i ) > $i ).

tff(decl_556,type,
    esk289_2: ( $i * $i ) > $i ).

tff(decl_557,type,
    esk290_2: ( $i * $i ) > $i ).

tff(decl_558,type,
    esk291_2: ( $i * $i ) > $i ).

tff(decl_559,type,
    esk292_2: ( $i * $i ) > $i ).

tff(decl_560,type,
    esk293_2: ( $i * $i ) > $i ).

tff(decl_561,type,
    esk294_2: ( $i * $i ) > $i ).

tff(decl_562,type,
    esk295_3: ( $i * $i * $i ) > $i ).

tff(decl_563,type,
    esk296_3: ( $i * $i * $i ) > $i ).

tff(decl_564,type,
    esk297_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_565,type,
    esk298_2: ( $i * $i ) > $i ).

tff(decl_566,type,
    esk299_2: ( $i * $i ) > $i ).

tff(decl_567,type,
    esk300_2: ( $i * $i ) > $i ).

tff(decl_568,type,
    esk301_2: ( $i * $i ) > $i ).

tff(decl_569,type,
    esk302_2: ( $i * $i ) > $i ).

tff(decl_570,type,
    esk303_2: ( $i * $i ) > $i ).

tff(decl_571,type,
    esk304_2: ( $i * $i ) > $i ).

tff(decl_572,type,
    esk305_2: ( $i * $i ) > $i ).

tff(decl_573,type,
    esk306_2: ( $i * $i ) > $i ).

tff(decl_574,type,
    esk307_3: ( $i * $i * $i ) > $i ).

tff(decl_575,type,
    esk308_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_576,type,
    esk309_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_577,type,
    esk310_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_578,type,
    esk311_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_579,type,
    esk312_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_580,type,
    esk313_3: ( $i * $i * $i ) > $i ).

tff(decl_581,type,
    esk314_3: ( $i * $i * $i ) > $i ).

tff(decl_582,type,
    esk315_3: ( $i * $i * $i ) > $i ).

tff(decl_583,type,
    esk316_3: ( $i * $i * $i ) > $i ).

tff(decl_584,type,
    esk317_3: ( $i * $i * $i ) > $i ).

tff(decl_585,type,
    esk318_3: ( $i * $i * $i ) > $i ).

tff(decl_586,type,
    esk319_3: ( $i * $i * $i ) > $i ).

tff(decl_587,type,
    esk320_3: ( $i * $i * $i ) > $i ).

tff(decl_588,type,
    esk321_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_589,type,
    esk322_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_590,type,
    esk323_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_591,type,
    esk324_1: $i > $i ).

tff(decl_592,type,
    esk325_1: $i > $i ).

tff(decl_593,type,
    esk326_1: $i > $i ).

tff(decl_594,type,
    esk327_1: $i > $i ).

tff(decl_595,type,
    esk328_2: ( $i * $i ) > $i ).

tff(decl_596,type,
    esk329_1: $i > $i ).

tff(decl_597,type,
    esk330_1: $i > $i ).

tff(decl_598,type,
    esk331_1: $i > $i ).

tff(decl_599,type,
    esk332_1: $i > $i ).

tff(decl_600,type,
    esk333_1: $i > $i ).

tff(decl_601,type,
    esk334_1: $i > $i ).

tff(decl_602,type,
    esk335_1: $i > $i ).

tff(decl_603,type,
    esk336_2: ( $i * $i ) > $i ).

tff(decl_604,type,
    esk337_3: ( $i * $i * $i ) > $i ).

tff(decl_605,type,
    esk338_3: ( $i * $i * $i ) > $i ).

tff(decl_606,type,
    esk339_3: ( $i * $i * $i ) > $i ).

tff(decl_607,type,
    esk340_1: $i > $i ).

tff(decl_608,type,
    esk341_1: $i > $i ).

tff(decl_609,type,
    esk342_1: $i > $i ).

tff(decl_610,type,
    esk343_1: $i > $i ).

tff(decl_611,type,
    esk344_2: ( $i * $i ) > $i ).

tff(decl_612,type,
    esk345_2: ( $i * $i ) > $i ).

tff(decl_613,type,
    esk346_3: ( $i * $i * $i ) > $i ).

tff(decl_614,type,
    esk347_3: ( $i * $i * $i ) > $i ).

tff(decl_615,type,
    esk348_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_616,type,
    esk349_2: ( $i * $i ) > $i ).

tff(decl_617,type,
    esk350_2: ( $i * $i ) > $i ).

tff(decl_618,type,
    esk351_2: ( $i * $i ) > $i ).

tff(decl_619,type,
    esk352_2: ( $i * $i ) > $i ).

tff(decl_620,type,
    esk353_2: ( $i * $i ) > $i ).

tff(decl_621,type,
    esk354_2: ( $i * $i ) > $i ).

tff(decl_622,type,
    esk355_3: ( $i * $i * $i ) > $i ).

tff(decl_623,type,
    esk356_3: ( $i * $i * $i ) > $i ).

tff(decl_624,type,
    esk357_2: ( $i * $i ) > $i ).

tff(decl_625,type,
    esk358_2: ( $i * $i ) > $i ).

tff(decl_626,type,
    esk359_2: ( $i * $i ) > $i ).

tff(decl_627,type,
    esk360_2: ( $i * $i ) > $i ).

tff(decl_628,type,
    esk361_3: ( $i * $i * $i ) > $i ).

tff(decl_629,type,
    esk362_2: ( $i * $i ) > $i ).

tff(decl_630,type,
    esk363_2: ( $i * $i ) > $i ).

tff(decl_631,type,
    esk364_2: ( $i * $i ) > $i ).

tff(decl_632,type,
    esk365_2: ( $i * $i ) > $i ).

tff(decl_633,type,
    esk366_2: ( $i * $i ) > $i ).

tff(decl_634,type,
    esk367_2: ( $i * $i ) > $i ).

tff(decl_635,type,
    esk368_3: ( $i * $i * $i ) > $i ).

tff(decl_636,type,
    esk369_3: ( $i * $i * $i ) > $i ).

tff(decl_637,type,
    esk370_2: ( $i * $i ) > $i ).

tff(decl_638,type,
    esk371_2: ( $i * $i ) > $i ).

tff(decl_639,type,
    esk372_2: ( $i * $i ) > $i ).

tff(decl_640,type,
    esk373_2: ( $i * $i ) > $i ).

tff(decl_641,type,
    esk374_3: ( $i * $i * $i ) > $i ).

tff(decl_642,type,
    esk375_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_643,type,
    esk376_2: ( $i * $i ) > $i ).

tff(decl_644,type,
    esk377_2: ( $i * $i ) > $i ).

tff(decl_645,type,
    esk378_2: ( $i * $i ) > $i ).

tff(decl_646,type,
    esk379_2: ( $i * $i ) > $i ).

tff(decl_647,type,
    esk380_2: ( $i * $i ) > $i ).

tff(decl_648,type,
    esk381_2: ( $i * $i ) > $i ).

tff(decl_649,type,
    esk382_2: ( $i * $i ) > $i ).

tff(decl_650,type,
    esk383_3: ( $i * $i * $i ) > $i ).

tff(decl_651,type,
    esk384_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_652,type,
    esk385_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_653,type,
    esk386_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_654,type,
    esk387_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_655,type,
    esk388_2: ( $i * $i ) > $i ).

tff(decl_656,type,
    esk389_2: ( $i * $i ) > $i ).

tff(decl_657,type,
    esk390_2: ( $i * $i ) > $i ).

tff(decl_658,type,
    esk391_2: ( $i * $i ) > $i ).

tff(decl_659,type,
    esk392_3: ( $i * $i * $i ) > $i ).

tff(decl_660,type,
    esk393_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_661,type,
    esk394_2: ( $i * $i ) > $i ).

tff(decl_662,type,
    esk395_2: ( $i * $i ) > $i ).

tff(decl_663,type,
    esk396_2: ( $i * $i ) > $i ).

tff(decl_664,type,
    esk397_2: ( $i * $i ) > $i ).

tff(decl_665,type,
    esk398_2: ( $i * $i ) > $i ).

tff(decl_666,type,
    esk399_2: ( $i * $i ) > $i ).

tff(decl_667,type,
    esk400_2: ( $i * $i ) > $i ).

tff(decl_668,type,
    esk401_3: ( $i * $i * $i ) > $i ).

tff(decl_669,type,
    esk402_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_670,type,
    esk403_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_671,type,
    esk404_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_672,type,
    esk405_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_673,type,
    esk406_3: ( $i * $i * $i ) > $i ).

tff(decl_674,type,
    esk407_3: ( $i * $i * $i ) > $i ).

tff(decl_675,type,
    esk408_3: ( $i * $i * $i ) > $i ).

tff(decl_676,type,
    esk409_3: ( $i * $i * $i ) > $i ).

tff(decl_677,type,
    esk410_3: ( $i * $i * $i ) > $i ).

tff(decl_678,type,
    esk411_3: ( $i * $i * $i ) > $i ).

tff(decl_679,type,
    esk412_3: ( $i * $i * $i ) > $i ).

tff(decl_680,type,
    esk413_3: ( $i * $i * $i ) > $i ).

tff(decl_681,type,
    esk414_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_682,type,
    esk415_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_683,type,
    esk416_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_684,type,
    esk417_0: $i ).

tff(decl_685,type,
    esk418_0: $i ).

tff(decl_686,type,
    esk419_0: $i ).

tff(decl_687,type,
    esk420_1: $i > $i ).

tff(decl_688,type,
    esk421_2: ( $i * $i ) > $i ).

tff(decl_689,type,
    esk422_3: ( $i * $i * $i ) > $i ).

tff(decl_690,type,
    esk423_3: ( $i * $i * $i ) > $i ).

tff(decl_691,type,
    esk424_3: ( $i * $i * $i ) > $i ).

tff(decl_692,type,
    esk425_3: ( $i * $i * $i ) > $i ).

tff(decl_693,type,
    esk426_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_694,type,
    esk427_2: ( $i * $i ) > $i ).

tff(decl_695,type,
    esk428_2: ( $i * $i ) > $i ).

tff(decl_696,type,
    esk429_2: ( $i * $i ) > $i ).

tff(decl_697,type,
    esk430_2: ( $i * $i ) > $i ).

tff(decl_698,type,
    esk431_2: ( $i * $i ) > $i ).

tff(decl_699,type,
    esk432_2: ( $i * $i ) > $i ).

tff(decl_700,type,
    esk433_3: ( $i * $i * $i ) > $i ).

tff(decl_701,type,
    esk434_3: ( $i * $i * $i ) > $i ).

tff(decl_702,type,
    esk435_3: ( $i * $i * $i ) > $i ).

tff(decl_703,type,
    esk436_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_704,type,
    esk437_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_705,type,
    esk438_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_706,type,
    esk439_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_707,type,
    esk440_3: ( $i * $i * $i ) > $i ).

tff(decl_708,type,
    esk441_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_709,type,
    esk442_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_710,type,
    esk443_2: ( $i * $i ) > $i ).

tff(decl_711,type,
    esk444_3: ( $i * $i * $i ) > $i ).

tff(decl_712,type,
    esk445_3: ( $i * $i * $i ) > $i ).

tff(decl_713,type,
    esk446_1: $i > $i ).

tff(decl_714,type,
    esk447_2: ( $i * $i ) > $i ).

tff(decl_715,type,
    esk448_3: ( $i * $i * $i ) > $i ).

tff(decl_716,type,
    esk449_3: ( $i * $i * $i ) > $i ).

tff(decl_717,type,
    esk450_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_718,type,
    esk451_2: ( $i * $i ) > $i ).

tff(decl_719,type,
    esk452_3: ( $i * $i * $i ) > $i ).

tff(decl_720,type,
    esk453_2: ( $i * $i ) > $i ).

tff(decl_721,type,
    esk454_2: ( $i * $i ) > $i ).

tff(decl_722,type,
    esk455_3: ( $i * $i * $i ) > $i ).

tff(decl_723,type,
    esk456_3: ( $i * $i * $i ) > $i ).

tff(decl_724,type,
    esk457_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_725,type,
    esk458_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_726,type,
    esk459_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_727,type,
    esk460_3: ( $i * $i * $i ) > $i ).

tff(decl_728,type,
    esk461_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_729,type,
    esk462_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_730,type,
    esk463_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_731,type,
    esk464_3: ( $i * $i * $i ) > $i ).

tff(decl_732,type,
    esk465_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_733,type,
    esk466_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_734,type,
    esk467_1: $i > $i ).

tff(decl_735,type,
    esk468_3: ( $i * $i * $i ) > $i ).

tff(decl_736,type,
    esk469_2: ( $i * $i ) > $i ).

tff(decl_737,type,
    esk470_3: ( $i * $i * $i ) > $i ).

tff(decl_738,type,
    esk471_3: ( $i * $i * $i ) > $i ).

tff(decl_739,type,
    esk472_3: ( $i * $i * $i ) > $i ).

tff(decl_740,type,
    esk473_3: ( $i * $i * $i ) > $i ).

tff(decl_741,type,
    esk474_3: ( $i * $i * $i ) > $i ).

tff(decl_742,type,
    esk475_2: ( $i * $i ) > $i ).

tff(decl_743,type,
    esk476_2: ( $i * $i ) > $i ).

tff(decl_744,type,
    esk477_2: ( $i * $i ) > $i ).

tff(decl_745,type,
    esk478_2: ( $i * $i ) > $i ).

tff(decl_746,type,
    esk479_2: ( $i * $i ) > $i ).

tff(decl_747,type,
    esk480_2: ( $i * $i ) > $i ).

tff(decl_748,type,
    esk481_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_749,type,
    esk482_2: ( $i * $i ) > $i ).

tff(decl_750,type,
    esk483_3: ( $i * $i * $i ) > $i ).

tff(decl_751,type,
    esk484_1: $i > $i ).

tff(decl_752,type,
    esk485_1: $i > $i ).

tff(decl_753,type,
    esk486_1: $i > $i ).

tff(decl_754,type,
    esk487_1: $i > $i ).

tff(decl_755,type,
    esk488_1: $i > $i ).

tff(decl_756,type,
    esk489_2: ( $i * $i ) > $i ).

tff(decl_757,type,
    esk490_2: ( $i * $i ) > $i ).

tff(decl_758,type,
    esk491_2: ( $i * $i ) > $i ).

tff(decl_759,type,
    esk492_2: ( $i * $i ) > $i ).

tff(decl_760,type,
    esk493_3: ( $i * $i * $i ) > $i ).

tff(decl_761,type,
    esk494_2: ( $i * $i ) > $i ).

tff(decl_762,type,
    esk495_2: ( $i * $i ) > $i ).

tff(decl_763,type,
    esk496_2: ( $i * $i ) > $i ).

tff(decl_764,type,
    esk497_2: ( $i * $i ) > $i ).

tff(decl_765,type,
    esk498_2: ( $i * $i ) > $i ).

tff(decl_766,type,
    esk499_3: ( $i * $i * $i ) > $i ).

tff(decl_767,type,
    esk500_2: ( $i * $i ) > $i ).

tff(decl_768,type,
    esk501_0: $i ).

tff(decl_769,type,
    esk502_2: ( $i * $i ) > $i ).

tff(decl_770,type,
    esk503_0: $i ).

tff(decl_771,type,
    esk504_1: $i > $i ).

tff(decl_772,type,
    esk505_2: ( $i * $i ) > $i ).

tff(decl_773,type,
    esk506_1: $i > $i ).

tff(decl_774,type,
    esk507_2: ( $i * $i ) > $i ).

tff(decl_775,type,
    esk508_3: ( $i * $i * $i ) > $i ).

tff(decl_776,type,
    esk509_2: ( $i * $i ) > $i ).

tff(decl_777,type,
    esk510_2: ( $i * $i ) > $i ).

tff(decl_778,type,
    esk511_2: ( $i * $i ) > $i ).

tff(decl_779,type,
    esk512_0: $i ).

tff(decl_780,type,
    esk513_0: $i ).

tff(decl_781,type,
    esk514_0: $i ).

tff(decl_782,type,
    esk515_1: $i > $i ).

tff(decl_783,type,
    esk516_1: $i > $i ).

tff(decl_784,type,
    esk517_3: ( $i * $i * $i ) > $i ).

tff(decl_785,type,
    esk518_2: ( $i * $i ) > $i ).

tff(decl_786,type,
    esk519_3: ( $i * $i * $i ) > $i ).

tff(decl_787,type,
    esk520_3: ( $i * $i * $i ) > $i ).

tff(decl_788,type,
    esk521_2: ( $i * $i ) > $i ).

tff(decl_789,type,
    esk522_3: ( $i * $i * $i ) > $i ).

tff(decl_790,type,
    esk523_2: ( $i * $i ) > $i ).

tff(decl_791,type,
    esk524_3: ( $i * $i * $i ) > $i ).

tff(decl_792,type,
    esk525_2: ( $i * $i ) > $i ).

tff(decl_793,type,
    esk526_3: ( $i * $i * $i ) > $i ).

tff(decl_794,type,
    esk527_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_795,type,
    esk528_3: ( $i * $i * $i ) > $i ).

tff(decl_796,type,
    esk529_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_797,type,
    esk530_1: $i > $i ).

tff(decl_798,type,
    esk531_1: $i > $i ).

tff(decl_799,type,
    esk532_1: $i > $i ).

tff(decl_800,type,
    esk533_2: ( $i * $i ) > $i ).

tff(decl_801,type,
    esk534_3: ( $i * $i * $i ) > $i ).

tff(decl_802,type,
    esk535_1: $i > $i ).

tff(decl_803,type,
    esk536_2: ( $i * $i ) > $i ).

tff(decl_804,type,
    esk537_2: ( $i * $i ) > $i ).

tff(decl_805,type,
    esk538_3: ( $i * $i * $i ) > $i ).

tff(decl_806,type,
    esk539_2: ( $i * $i ) > $i ).

tff(decl_807,type,
    esk540_1: $i > $i ).

tff(decl_808,type,
    esk541_1: $i > $i ).

tff(decl_809,type,
    esk542_2: ( $i * $i ) > $i ).

tff(decl_810,type,
    esk543_3: ( $i * $i * $i ) > $i ).

tff(decl_811,type,
    esk544_2: ( $i * $i ) > $i ).

tff(decl_812,type,
    esk545_2: ( $i * $i ) > $i ).

tff(decl_813,type,
    esk546_2: ( $i * $i ) > $i ).

tff(decl_814,type,
    esk547_2: ( $i * $i ) > $i ).

tff(decl_815,type,
    esk548_2: ( $i * $i ) > $i ).

tff(decl_816,type,
    esk549_2: ( $i * $i ) > $i ).

tff(decl_817,type,
    esk550_1: $i > $i ).

tff(decl_818,type,
    esk551_1: $i > $i ).

tff(decl_819,type,
    esk552_3: ( $i * $i * $i ) > $i ).

tff(decl_820,type,
    esk553_3: ( $i * $i * $i ) > $i ).

tff(decl_821,type,
    esk554_2: ( $i * $i ) > $i ).

tff(decl_822,type,
    esk555_1: $i > $i ).

tff(decl_823,type,
    esk556_2: ( $i * $i ) > $i ).

tff(decl_824,type,
    esk557_0: $i ).

tff(decl_825,type,
    esk558_1: $i > $i ).

tff(decl_826,type,
    esk559_0: $i ).

tff(decl_827,type,
    esk560_1: $i > $i ).

tff(decl_828,type,
    esk561_0: $i ).

tff(decl_829,type,
    esk562_1: $i > $i ).

tff(decl_830,type,
    esk563_3: ( $i * $i * $i ) > $i ).

tff(decl_831,type,
    esk564_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_832,type,
    esk565_3: ( $i * $i * $i ) > $i ).

tff(decl_833,type,
    esk566_4: ( $i * $i * $i * $i ) > $i ).

fof(dt_k2_yellow19,axiom,
    ! [X1,X2] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1)
        & ~ empty_carrier(X2)
        & net_str(X2,X1) )
     => element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow19) ).

fof(t4_yellow_1,lemma,
    ! [X1] : boole_POSet(X1) = incl_POSet(powerset(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_yellow_1) ).

fof(t11_yellow19,conjecture,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( in(X3,filter_of_net_str(X1,X2))
            <=> ( is_eventually_in(X1,X2,X3)
                & element(X3,powerset(the_carrier(X1))) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_yellow19) ).

fof(t1_yellow_1,lemma,
    ! [X1] :
      ( the_carrier(incl_POSet(X1)) = X1
      & the_InternalRel(incl_POSet(X1)) = inclusion_order(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_yellow_1) ).

fof(d3_pre_topc,axiom,
    ! [X1] :
      ( one_sorted_str(X1)
     => cast_as_carrier_subset(X1) = the_carrier(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).

fof(d1_zfmisc_1,axiom,
    ! [X1,X2] :
      ( X2 = powerset(X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> subset(X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

fof(l3_subset_1,lemma,
    ! [X1,X2] :
      ( element(X2,powerset(X1))
     => ! [X3] :
          ( in(X3,X2)
         => in(X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).

fof(d3_yellow19,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_yellow19) ).

fof(fraenkel_a_2_1_yellow19,axiom,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X2)
        & one_sorted_str(X2)
        & ~ empty_carrier(X3)
        & net_str(X3,X2) )
     => ( in(X1,a_2_1_yellow19(X2,X3))
      <=> ? [X4] :
            ( element(X4,powerset(the_carrier(X2)))
            & X1 = X4
            & is_eventually_in(X2,X3,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_1_yellow19) ).

fof(t1_subset,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => element(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).

fof(c_0_11,plain,
    ! [X1,X2] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1)
        & ~ empty_carrier(X2)
        & net_str(X2,X1) )
     => element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
    inference(fof_simplification,[status(thm)],[dt_k2_yellow19]) ).

fof(c_0_12,plain,
    ! [X919,X920] :
      ( empty_carrier(X919)
      | ~ one_sorted_str(X919)
      | empty_carrier(X920)
      | ~ net_str(X920,X919)
      | element(filter_of_net_str(X919,X920),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X919))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).

fof(c_0_13,lemma,
    ! [X2607] : boole_POSet(X2607) = incl_POSet(powerset(X2607)),
    inference(variable_rename,[status(thm)],[t4_yellow_1]) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ empty_carrier(X1)
          & one_sorted_str(X1) )
       => ! [X2] :
            ( ( ~ empty_carrier(X2)
              & net_str(X2,X1) )
           => ! [X3] :
                ( in(X3,filter_of_net_str(X1,X2))
              <=> ( is_eventually_in(X1,X2,X3)
                  & element(X3,powerset(the_carrier(X1))) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t11_yellow19])]) ).

cnf(c_0_15,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,lemma,
    boole_POSet(X1) = incl_POSet(powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_17,lemma,
    ! [X2306] :
      ( the_carrier(incl_POSet(X2306)) = X2306
      & the_InternalRel(incl_POSet(X2306)) = inclusion_order(X2306) ),
    inference(variable_rename,[status(thm)],[t1_yellow_1]) ).

fof(c_0_18,plain,
    ! [X580] :
      ( ~ one_sorted_str(X580)
      | cast_as_carrier_subset(X580) = the_carrier(X580) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pre_topc])]) ).

fof(c_0_19,negated_conjecture,
    ( ~ empty_carrier(esk512_0)
    & one_sorted_str(esk512_0)
    & ~ empty_carrier(esk513_0)
    & net_str(esk513_0,esk512_0)
    & ( ~ in(esk514_0,filter_of_net_str(esk512_0,esk513_0))
      | ~ is_eventually_in(esk512_0,esk513_0,esk514_0)
      | ~ element(esk514_0,powerset(the_carrier(esk512_0))) )
    & ( is_eventually_in(esk512_0,esk513_0,esk514_0)
      | in(esk514_0,filter_of_net_str(esk512_0,esk513_0)) )
    & ( element(esk514_0,powerset(the_carrier(esk512_0)))
      | in(esk514_0,filter_of_net_str(esk512_0,esk513_0)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

cnf(c_0_20,plain,
    ( empty_carrier(X2)
    | empty_carrier(X1)
    | element(filter_of_net_str(X1,X2),powerset(the_carrier(incl_POSet(powerset(cast_as_carrier_subset(X1))))))
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1) ),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,lemma,
    the_carrier(incl_POSet(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    ( cast_as_carrier_subset(X1) = the_carrier(X1)
    | ~ one_sorted_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    one_sorted_str(esk512_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_24,plain,
    ! [X453,X454,X455,X456,X457,X458] :
      ( ( ~ in(X455,X454)
        | subset(X455,X453)
        | X454 != powerset(X453) )
      & ( ~ subset(X456,X453)
        | in(X456,X454)
        | X454 != powerset(X453) )
      & ( ~ in(esk65_2(X457,X458),X458)
        | ~ subset(esk65_2(X457,X458),X457)
        | X458 = powerset(X457) )
      & ( in(esk65_2(X457,X458),X458)
        | subset(esk65_2(X457,X458),X457)
        | X458 = powerset(X457) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_zfmisc_1])])])])])]) ).

fof(c_0_25,plain,
    ! [X2518,X2519] :
      ( ( ~ element(X2518,powerset(X2519))
        | subset(X2518,X2519) )
      & ( ~ subset(X2518,X2519)
        | element(X2518,powerset(X2519)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).

fof(c_0_26,lemma,
    ! [X1325,X1326,X1327] :
      ( ~ element(X1326,powerset(X1325))
      | ~ in(X1327,X1326)
      | in(X1327,X1325) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_subset_1])])]) ).

cnf(c_0_27,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(filter_of_net_str(X1,X2),powerset(powerset(cast_as_carrier_subset(X1))))
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1) ),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    net_str(esk513_0,esk512_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,negated_conjecture,
    cast_as_carrier_subset(esk512_0) = the_carrier(esk512_0),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ~ empty_carrier(esk513_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_31,negated_conjecture,
    ~ empty_carrier(esk512_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_32,plain,
    ( in(X1,X3)
    | ~ subset(X1,X2)
    | X3 != powerset(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,negated_conjecture,
    ( element(esk514_0,powerset(the_carrier(esk512_0)))
    | in(esk514_0,filter_of_net_str(esk512_0,esk513_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_35,plain,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[d3_yellow19]) ).

fof(c_0_36,plain,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X2)
        & one_sorted_str(X2)
        & ~ empty_carrier(X3)
        & net_str(X3,X2) )
     => ( in(X1,a_2_1_yellow19(X2,X3))
      <=> ? [X4] :
            ( element(X4,powerset(the_carrier(X2)))
            & X1 = X4
            & is_eventually_in(X2,X3,X4) ) ) ),
    inference(fof_simplification,[status(thm)],[fraenkel_a_2_1_yellow19]) ).

cnf(c_0_37,lemma,
    ( in(X3,X2)
    | ~ element(X1,powerset(X2))
    | ~ in(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,negated_conjecture,
    element(filter_of_net_str(esk512_0,esk513_0),powerset(powerset(the_carrier(esk512_0)))),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_23])]),c_0_30]),c_0_31]) ).

cnf(c_0_39,plain,
    ( in(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_40,negated_conjecture,
    ( subset(esk514_0,the_carrier(esk512_0))
    | in(esk514_0,filter_of_net_str(esk512_0,esk513_0)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

fof(c_0_41,plain,
    ! [X609,X610] :
      ( empty_carrier(X609)
      | ~ one_sorted_str(X609)
      | empty_carrier(X610)
      | ~ net_str(X610,X609)
      | filter_of_net_str(X609,X610) = a_2_1_yellow19(X609,X610) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).

fof(c_0_42,plain,
    ! [X1244,X1245,X1246,X1248] :
      ( ( element(esk172_3(X1244,X1245,X1246),powerset(the_carrier(X1245)))
        | ~ in(X1244,a_2_1_yellow19(X1245,X1246))
        | empty_carrier(X1245)
        | ~ one_sorted_str(X1245)
        | empty_carrier(X1246)
        | ~ net_str(X1246,X1245) )
      & ( X1244 = esk172_3(X1244,X1245,X1246)
        | ~ in(X1244,a_2_1_yellow19(X1245,X1246))
        | empty_carrier(X1245)
        | ~ one_sorted_str(X1245)
        | empty_carrier(X1246)
        | ~ net_str(X1246,X1245) )
      & ( is_eventually_in(X1245,X1246,esk172_3(X1244,X1245,X1246))
        | ~ in(X1244,a_2_1_yellow19(X1245,X1246))
        | empty_carrier(X1245)
        | ~ one_sorted_str(X1245)
        | empty_carrier(X1246)
        | ~ net_str(X1246,X1245) )
      & ( ~ element(X1248,powerset(the_carrier(X1245)))
        | X1244 != X1248
        | ~ is_eventually_in(X1245,X1246,X1248)
        | in(X1244,a_2_1_yellow19(X1245,X1246))
        | empty_carrier(X1245)
        | ~ one_sorted_str(X1245)
        | empty_carrier(X1246)
        | ~ net_str(X1246,X1245) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])]) ).

fof(c_0_43,plain,
    ! [X2295,X2296] :
      ( ~ in(X2295,X2296)
      | element(X2295,X2296) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).

cnf(c_0_44,lemma,
    ( in(X1,powerset(the_carrier(esk512_0)))
    | ~ in(X1,filter_of_net_str(esk512_0,esk513_0)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,negated_conjecture,
    ( in(esk514_0,filter_of_net_str(esk512_0,esk513_0))
    | in(esk514_0,powerset(the_carrier(esk512_0))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_47,plain,
    ( in(X3,a_2_1_yellow19(X2,X4))
    | empty_carrier(X2)
    | empty_carrier(X4)
    | ~ element(X1,powerset(the_carrier(X2)))
    | X3 != X1
    | ~ is_eventually_in(X2,X4,X1)
    | ~ one_sorted_str(X2)
    | ~ net_str(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    in(esk514_0,powerset(the_carrier(esk512_0))),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,plain,
    ( is_eventually_in(X1,X2,esk172_3(X3,X1,X2))
    | empty_carrier(X1)
    | empty_carrier(X2)
    | ~ in(X3,a_2_1_yellow19(X1,X2))
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    a_2_1_yellow19(esk512_0,esk513_0) = filter_of_net_str(esk512_0,esk513_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_28]),c_0_23])]),c_0_30]),c_0_31]) ).

cnf(c_0_52,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(X3,a_2_1_yellow19(X2,X1))
    | ~ is_eventually_in(X2,X1,X3)
    | ~ element(X3,powerset(the_carrier(X2)))
    | ~ net_str(X1,X2)
    | ~ one_sorted_str(X2) ),
    inference(er,[status(thm)],[c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    ( is_eventually_in(esk512_0,esk513_0,esk514_0)
    | in(esk514_0,filter_of_net_str(esk512_0,esk513_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_54,negated_conjecture,
    element(esk514_0,powerset(the_carrier(esk512_0))),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_55,plain,
    ( X1 = esk172_3(X1,X2,X3)
    | empty_carrier(X2)
    | empty_carrier(X3)
    | ~ in(X1,a_2_1_yellow19(X2,X3))
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ in(esk514_0,filter_of_net_str(esk512_0,esk513_0))
    | ~ is_eventually_in(esk512_0,esk513_0,esk514_0)
    | ~ element(esk514_0,powerset(the_carrier(esk512_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_57,negated_conjecture,
    ( is_eventually_in(esk512_0,esk513_0,esk172_3(X1,esk512_0,esk513_0))
    | ~ in(X1,filter_of_net_str(esk512_0,esk513_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_28]),c_0_23])]),c_0_30]),c_0_31]) ).

cnf(c_0_58,negated_conjecture,
    in(esk514_0,filter_of_net_str(esk512_0,esk513_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_51]),c_0_54]),c_0_28]),c_0_23])]),c_0_31]),c_0_30]) ).

cnf(c_0_59,negated_conjecture,
    ( esk172_3(X1,esk512_0,esk513_0) = X1
    | ~ in(X1,filter_of_net_str(esk512_0,esk513_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_51]),c_0_28]),c_0_23])]),c_0_30]),c_0_31]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ is_eventually_in(esk512_0,esk513_0,esk514_0)
    | ~ in(esk514_0,filter_of_net_str(esk512_0,esk513_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_54])]) ).

cnf(c_0_61,negated_conjecture,
    is_eventually_in(esk512_0,esk513_0,esk172_3(esk514_0,esk512_0,esk513_0)),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_62,negated_conjecture,
    esk172_3(esk514_0,esk512_0,esk513_0) = esk514_0,
    inference(spm,[status(thm)],[c_0_59,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ~ is_eventually_in(esk512_0,esk513_0,esk514_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_58])]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU391+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Wed Aug 23 20:35:41 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 10.23/10.31  % Version  : CSE_E---1.5
% 10.23/10.31  % Problem  : theBenchmark.p
% 10.23/10.31  % Proof found
% 10.23/10.31  % SZS status Theorem for theBenchmark.p
% 10.23/10.31  % SZS output start Proof
% See solution above
% 10.23/10.34  % Total time : 9.704000 s
% 10.23/10.34  % SZS output end Proof
% 10.23/10.34  % Total time : 9.739000 s
%------------------------------------------------------------------------------