TSTP Solution File: SEU304+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SEU304+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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 16:24:17 EDT 2023

% Result   : Theorem 103.53s 103.62s
% Output   : CNFRefutation 103.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  426
% Syntax   : Number of formulae    :  469 (  18 unt; 419 typ;   0 def)
%            Number of atoms       :  199 (  26 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  226 (  77   ~;  74   |;  46   &)
%                                         (   4 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  810 ( 382   >; 428   *;   0   +;   0  <<)
%            Number of predicates  :   51 (  49 usr;   2 prp; 0-3 aty)
%            Number of functors    :  370 ( 370 usr;  36 con; 0-7 aty)
%            Number of variables   :   75 (   0 sgn;  53   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    ordinal: $i > $o ).

tff(decl_25,type,
    element: ( $i * $i ) > $o ).

tff(decl_26,type,
    epsilon_transitive: $i > $o ).

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

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

tff(decl_29,type,
    finite: $i > $o ).

tff(decl_30,type,
    preboolean: $i > $o ).

tff(decl_31,type,
    cup_closed: $i > $o ).

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

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

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

tff(decl_35,type,
    cartesian_product2: ( $i * $i ) > $i ).

tff(decl_36,type,
    powerset: $i > $i ).

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

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

tff(decl_39,type,
    omega: $i ).

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

tff(decl_41,type,
    set_union2: ( $i * $i ) > $i ).

tff(decl_42,type,
    set_intersection2: ( $i * $i ) > $i ).

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

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

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

tff(decl_46,type,
    the_carrier: $i > $i ).

tff(decl_47,type,
    meet_commut: ( $i * $i * $i ) > $i ).

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

tff(decl_49,type,
    identity_relation: $i > $i ).

tff(decl_50,type,
    ordered_pair: ( $i * $i ) > $i ).

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

tff(decl_52,type,
    relation_dom_restriction: ( $i * $i ) > $i ).

tff(decl_53,type,
    relation_image: ( $i * $i ) > $i ).

tff(decl_54,type,
    relation_dom: $i > $i ).

tff(decl_55,type,
    apply: ( $i * $i ) > $i ).

tff(decl_56,type,
    relation_rng_restriction: ( $i * $i ) > $i ).

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

tff(decl_58,type,
    relation_field: $i > $i ).

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

tff(decl_60,type,
    relation_inverse_image: ( $i * $i ) > $i ).

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

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

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

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

tff(decl_65,type,
    unordered_triple: ( $i * $i * $i ) > $i ).

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

tff(decl_67,type,
    relation_of2_as_subset: ( $i * $i * $i ) > $o ).

tff(decl_68,type,
    empty_set: $i ).

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

tff(decl_70,type,
    relation_dom_as_subset: ( $i * $i * $i ) > $i ).

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

tff(decl_72,type,
    join: ( $i * $i * $i ) > $i ).

tff(decl_73,type,
    the_L_join: $i > $i ).

tff(decl_74,type,
    apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_75,type,
    pair_first: $i > $i ).

tff(decl_76,type,
    succ: $i > $i ).

tff(decl_77,type,
    singleton: $i > $i ).

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

tff(decl_79,type,
    relation_of2: ( $i * $i * $i ) > $o ).

tff(decl_80,type,
    set_meet: $i > $i ).

tff(decl_81,type,
    fiber: ( $i * $i ) > $i ).

tff(decl_82,type,
    inclusion_relation: $i > $i ).

tff(decl_83,type,
    meet: ( $i * $i * $i ) > $i ).

tff(decl_84,type,
    the_L_meet: $i > $i ).

tff(decl_85,type,
    pair_second: $i > $i ).

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

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

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

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

tff(decl_90,type,
    cast_to_subset: $i > $i ).

tff(decl_91,type,
    union: $i > $i ).

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

tff(decl_93,type,
    reflexive: $i > $o ).

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

tff(decl_95,type,
    set_difference: ( $i * $i ) > $i ).

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

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

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

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

tff(decl_100,type,
    relation_inverse: $i > $i ).

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

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

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

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

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

tff(decl_106,type,
    function_inverse: $i > $i ).

tff(decl_107,type,
    relation_rng_as_subset: ( $i * $i * $i ) > $i ).

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

tff(decl_109,type,
    meet_of_subsets: ( $i * $i ) > $i ).

tff(decl_110,type,
    subset_difference: ( $i * $i * $i ) > $i ).

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

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

tff(decl_113,type,
    apply_binary: ( $i * $i * $i ) > $i ).

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

tff(decl_115,type,
    epred1_0: $o ).

tff(decl_116,type,
    epred2_3: ( $i * $i * $i ) > $o ).

tff(decl_117,type,
    epred3_2: ( $i * $i ) > $o ).

tff(decl_118,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_119,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_120,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_121,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_122,type,
    esk5_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_123,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_124,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_125,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_126,type,
    esk9_3: ( $i * $i * $i ) > $i ).

tff(decl_127,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_128,type,
    esk11_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_129,type,
    esk12_3: ( $i * $i * $i ) > $i ).

tff(decl_130,type,
    esk13_3: ( $i * $i * $i ) > $i ).

tff(decl_131,type,
    esk14_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_132,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_133,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_134,type,
    esk17_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_135,type,
    esk18_1: $i > $i ).

tff(decl_136,type,
    esk19_1: $i > $i ).

tff(decl_137,type,
    esk20_1: $i > $i ).

tff(decl_138,type,
    esk21_1: $i > $i ).

tff(decl_139,type,
    esk22_2: ( $i * $i ) > $i ).

tff(decl_140,type,
    esk23_2: ( $i * $i ) > $i ).

tff(decl_141,type,
    esk24_2: ( $i * $i ) > $i ).

tff(decl_142,type,
    esk25_2: ( $i * $i ) > $i ).

tff(decl_143,type,
    esk26_1: $i > $i ).

tff(decl_144,type,
    esk27_2: ( $i * $i ) > $i ).

tff(decl_145,type,
    esk28_3: ( $i * $i * $i ) > $i ).

tff(decl_146,type,
    esk29_2: ( $i * $i ) > $i ).

tff(decl_147,type,
    esk30_2: ( $i * $i ) > $i ).

tff(decl_148,type,
    esk31_2: ( $i * $i ) > $i ).

tff(decl_149,type,
    esk32_3: ( $i * $i * $i ) > $i ).

tff(decl_150,type,
    esk33_2: ( $i * $i ) > $i ).

tff(decl_151,type,
    esk34_2: ( $i * $i ) > $i ).

tff(decl_152,type,
    esk35_1: $i > $i ).

tff(decl_153,type,
    esk36_2: ( $i * $i ) > $i ).

tff(decl_154,type,
    esk37_2: ( $i * $i ) > $i ).

tff(decl_155,type,
    esk38_2: ( $i * $i ) > $i ).

tff(decl_156,type,
    esk39_1: $i > $i ).

tff(decl_157,type,
    esk40_2: ( $i * $i ) > $i ).

tff(decl_158,type,
    esk41_2: ( $i * $i ) > $i ).

tff(decl_159,type,
    esk42_3: ( $i * $i * $i ) > $i ).

tff(decl_160,type,
    esk43_2: ( $i * $i ) > $i ).

tff(decl_161,type,
    esk44_1: $i > $i ).

tff(decl_162,type,
    esk45_3: ( $i * $i * $i ) > $i ).

tff(decl_163,type,
    esk46_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_164,type,
    esk47_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_165,type,
    esk48_3: ( $i * $i * $i ) > $i ).

tff(decl_166,type,
    esk49_3: ( $i * $i * $i ) > $i ).

tff(decl_167,type,
    esk50_3: ( $i * $i * $i ) > $i ).

tff(decl_168,type,
    esk51_1: $i > $i ).

tff(decl_169,type,
    esk52_1: $i > $i ).

tff(decl_170,type,
    esk53_2: ( $i * $i ) > $i ).

tff(decl_171,type,
    esk54_2: ( $i * $i ) > $i ).

tff(decl_172,type,
    esk55_2: ( $i * $i ) > $i ).

tff(decl_173,type,
    esk56_3: ( $i * $i * $i ) > $i ).

tff(decl_174,type,
    esk57_2: ( $i * $i ) > $i ).

tff(decl_175,type,
    esk58_3: ( $i * $i * $i ) > $i ).

tff(decl_176,type,
    esk59_3: ( $i * $i * $i ) > $i ).

tff(decl_177,type,
    esk60_2: ( $i * $i ) > $i ).

tff(decl_178,type,
    esk61_2: ( $i * $i ) > $i ).

tff(decl_179,type,
    esk62_2: ( $i * $i ) > $i ).

tff(decl_180,type,
    esk63_2: ( $i * $i ) > $i ).

tff(decl_181,type,
    esk64_3: ( $i * $i * $i ) > $i ).

tff(decl_182,type,
    esk65_2: ( $i * $i ) > $i ).

tff(decl_183,type,
    esk66_2: ( $i * $i ) > $i ).

tff(decl_184,type,
    esk67_2: ( $i * $i ) > $i ).

tff(decl_185,type,
    esk68_3: ( $i * $i * $i ) > $i ).

tff(decl_186,type,
    esk69_3: ( $i * $i * $i ) > $i ).

tff(decl_187,type,
    esk70_2: ( $i * $i ) > $i ).

tff(decl_188,type,
    esk71_2: ( $i * $i ) > $i ).

tff(decl_189,type,
    esk72_1: $i > $i ).

tff(decl_190,type,
    esk73_3: ( $i * $i * $i ) > $i ).

tff(decl_191,type,
    esk74_2: ( $i * $i ) > $i ).

tff(decl_192,type,
    esk75_2: ( $i * $i ) > $i ).

tff(decl_193,type,
    esk76_2: ( $i * $i ) > $i ).

tff(decl_194,type,
    esk77_2: ( $i * $i ) > $i ).

tff(decl_195,type,
    esk78_2: ( $i * $i ) > $i ).

tff(decl_196,type,
    esk79_2: ( $i * $i ) > $i ).

tff(decl_197,type,
    esk80_3: ( $i * $i * $i ) > $i ).

tff(decl_198,type,
    esk81_3: ( $i * $i * $i ) > $i ).

tff(decl_199,type,
    esk82_1: $i > $i ).

tff(decl_200,type,
    esk83_1: $i > $i ).

tff(decl_201,type,
    esk84_1: $i > $i ).

tff(decl_202,type,
    esk85_1: $i > $i ).

tff(decl_203,type,
    esk86_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_204,type,
    esk87_3: ( $i * $i * $i ) > $i ).

tff(decl_205,type,
    esk88_3: ( $i * $i * $i ) > $i ).

tff(decl_206,type,
    esk89_3: ( $i * $i * $i ) > $i ).

tff(decl_207,type,
    esk90_2: ( $i * $i ) > $i ).

tff(decl_208,type,
    esk91_2: ( $i * $i ) > $i ).

tff(decl_209,type,
    esk92_2: ( $i * $i ) > $i ).

tff(decl_210,type,
    esk93_3: ( $i * $i * $i ) > $i ).

tff(decl_211,type,
    esk94_0: $i ).

tff(decl_212,type,
    esk95_0: $i ).

tff(decl_213,type,
    esk96_0: $i ).

tff(decl_214,type,
    esk97_0: $i ).

tff(decl_215,type,
    esk98_2: ( $i * $i ) > $i ).

tff(decl_216,type,
    esk99_1: $i > $i ).

tff(decl_217,type,
    esk100_2: ( $i * $i ) > $i ).

tff(decl_218,type,
    esk101_1: $i > $i ).

tff(decl_219,type,
    esk102_1: $i > $i ).

tff(decl_220,type,
    esk103_1: $i > $i ).

tff(decl_221,type,
    esk104_1: $i > $i ).

tff(decl_222,type,
    esk105_2: ( $i * $i ) > $i ).

tff(decl_223,type,
    esk106_1: $i > $i ).

tff(decl_224,type,
    esk107_1: $i > $i ).

tff(decl_225,type,
    esk108_1: $i > $i ).

tff(decl_226,type,
    esk109_1: $i > $i ).

tff(decl_227,type,
    esk110_2: ( $i * $i ) > $i ).

tff(decl_228,type,
    esk111_0: $i ).

tff(decl_229,type,
    esk112_0: $i ).

tff(decl_230,type,
    esk113_0: $i ).

tff(decl_231,type,
    esk114_2: ( $i * $i ) > $i ).

tff(decl_232,type,
    esk115_0: $i ).

tff(decl_233,type,
    esk116_0: $i ).

tff(decl_234,type,
    esk117_0: $i ).

tff(decl_235,type,
    esk118_0: $i ).

tff(decl_236,type,
    esk119_1: $i > $i ).

tff(decl_237,type,
    esk120_0: $i ).

tff(decl_238,type,
    esk121_1: $i > $i ).

tff(decl_239,type,
    esk122_0: $i ).

tff(decl_240,type,
    esk123_0: $i ).

tff(decl_241,type,
    esk124_2: ( $i * $i ) > $i ).

tff(decl_242,type,
    esk125_0: $i ).

tff(decl_243,type,
    esk126_1: $i > $i ).

tff(decl_244,type,
    esk127_0: $i ).

tff(decl_245,type,
    esk128_1: $i > $i ).

tff(decl_246,type,
    esk129_0: $i ).

tff(decl_247,type,
    esk130_0: $i ).

tff(decl_248,type,
    esk131_0: $i ).

tff(decl_249,type,
    esk132_0: $i ).

tff(decl_250,type,
    esk133_0: $i ).

tff(decl_251,type,
    esk134_1: $i > $i ).

tff(decl_252,type,
    esk135_2: ( $i * $i ) > $i ).

tff(decl_253,type,
    esk136_2: ( $i * $i ) > $i ).

tff(decl_254,type,
    esk137_2: ( $i * $i ) > $i ).

tff(decl_255,type,
    esk138_2: ( $i * $i ) > $i ).

tff(decl_256,type,
    esk139_2: ( $i * $i ) > $i ).

tff(decl_257,type,
    esk140_2: ( $i * $i ) > $i ).

tff(decl_258,type,
    esk141_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_259,type,
    esk142_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_260,type,
    esk143_1: $i > $i ).

tff(decl_261,type,
    esk144_1: $i > $i ).

tff(decl_262,type,
    esk145_1: $i > $i ).

tff(decl_263,type,
    esk146_1: $i > $i ).

tff(decl_264,type,
    esk147_1: $i > $i ).

tff(decl_265,type,
    esk148_0: $i ).

tff(decl_266,type,
    esk149_2: ( $i * $i ) > $i ).

tff(decl_267,type,
    esk150_0: $i ).

tff(decl_268,type,
    esk151_1: $i > $i ).

tff(decl_269,type,
    esk152_2: ( $i * $i ) > $i ).

tff(decl_270,type,
    esk153_3: ( $i * $i * $i ) > $i ).

tff(decl_271,type,
    esk154_2: ( $i * $i ) > $i ).

tff(decl_272,type,
    esk155_2: ( $i * $i ) > $i ).

tff(decl_273,type,
    esk156_2: ( $i * $i ) > $i ).

tff(decl_274,type,
    esk157_2: ( $i * $i ) > $i ).

tff(decl_275,type,
    esk158_2: ( $i * $i ) > $i ).

tff(decl_276,type,
    esk159_2: ( $i * $i ) > $i ).

tff(decl_277,type,
    esk160_3: ( $i * $i * $i ) > $i ).

tff(decl_278,type,
    esk161_3: ( $i * $i * $i ) > $i ).

tff(decl_279,type,
    esk162_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_280,type,
    esk163_2: ( $i * $i ) > $i ).

tff(decl_281,type,
    esk164_2: ( $i * $i ) > $i ).

tff(decl_282,type,
    esk165_2: ( $i * $i ) > $i ).

tff(decl_283,type,
    esk166_2: ( $i * $i ) > $i ).

tff(decl_284,type,
    esk167_2: ( $i * $i ) > $i ).

tff(decl_285,type,
    esk168_2: ( $i * $i ) > $i ).

tff(decl_286,type,
    esk169_2: ( $i * $i ) > $i ).

tff(decl_287,type,
    esk170_2: ( $i * $i ) > $i ).

tff(decl_288,type,
    esk171_2: ( $i * $i ) > $i ).

tff(decl_289,type,
    esk172_3: ( $i * $i * $i ) > $i ).

tff(decl_290,type,
    esk173_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_291,type,
    esk174_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_292,type,
    esk175_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_293,type,
    esk176_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_294,type,
    esk177_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_295,type,
    esk178_1: $i > $i ).

tff(decl_296,type,
    esk179_1: $i > $i ).

tff(decl_297,type,
    esk180_1: $i > $i ).

tff(decl_298,type,
    esk181_1: $i > $i ).

tff(decl_299,type,
    esk182_2: ( $i * $i ) > $i ).

tff(decl_300,type,
    esk183_1: $i > $i ).

tff(decl_301,type,
    esk184_1: $i > $i ).

tff(decl_302,type,
    esk185_1: $i > $i ).

tff(decl_303,type,
    esk186_1: $i > $i ).

tff(decl_304,type,
    esk187_1: $i > $i ).

tff(decl_305,type,
    esk188_1: $i > $i ).

tff(decl_306,type,
    esk189_1: $i > $i ).

tff(decl_307,type,
    esk190_2: ( $i * $i ) > $i ).

tff(decl_308,type,
    esk191_3: ( $i * $i * $i ) > $i ).

tff(decl_309,type,
    esk192_3: ( $i * $i * $i ) > $i ).

tff(decl_310,type,
    esk193_3: ( $i * $i * $i ) > $i ).

tff(decl_311,type,
    esk194_1: $i > $i ).

tff(decl_312,type,
    esk195_1: $i > $i ).

tff(decl_313,type,
    esk196_1: $i > $i ).

tff(decl_314,type,
    esk197_1: $i > $i ).

tff(decl_315,type,
    esk198_2: ( $i * $i ) > $i ).

tff(decl_316,type,
    esk199_2: ( $i * $i ) > $i ).

tff(decl_317,type,
    esk200_3: ( $i * $i * $i ) > $i ).

tff(decl_318,type,
    esk201_3: ( $i * $i * $i ) > $i ).

tff(decl_319,type,
    esk202_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_320,type,
    esk203_2: ( $i * $i ) > $i ).

tff(decl_321,type,
    esk204_2: ( $i * $i ) > $i ).

tff(decl_322,type,
    esk205_2: ( $i * $i ) > $i ).

tff(decl_323,type,
    esk206_2: ( $i * $i ) > $i ).

tff(decl_324,type,
    esk207_2: ( $i * $i ) > $i ).

tff(decl_325,type,
    esk208_2: ( $i * $i ) > $i ).

tff(decl_326,type,
    esk209_3: ( $i * $i * $i ) > $i ).

tff(decl_327,type,
    esk210_3: ( $i * $i * $i ) > $i ).

tff(decl_328,type,
    esk211_3: ( $i * $i * $i ) > $i ).

tff(decl_329,type,
    esk212_3: ( $i * $i * $i ) > $i ).

tff(decl_330,type,
    esk213_3: ( $i * $i * $i ) > $i ).

tff(decl_331,type,
    esk214_3: ( $i * $i * $i ) > $i ).

tff(decl_332,type,
    esk215_3: ( $i * $i * $i ) > $i ).

tff(decl_333,type,
    esk216_3: ( $i * $i * $i ) > $i ).

tff(decl_334,type,
    esk217_3: ( $i * $i * $i ) > $i ).

tff(decl_335,type,
    esk218_3: ( $i * $i * $i ) > $i ).

tff(decl_336,type,
    esk219_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_337,type,
    esk220_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_338,type,
    esk221_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_339,type,
    esk222_0: $i ).

tff(decl_340,type,
    esk223_0: $i ).

tff(decl_341,type,
    esk224_0: $i ).

tff(decl_342,type,
    esk225_1: $i > $i ).

tff(decl_343,type,
    esk226_2: ( $i * $i ) > $i ).

tff(decl_344,type,
    esk227_3: ( $i * $i * $i ) > $i ).

tff(decl_345,type,
    esk228_3: ( $i * $i * $i ) > $i ).

tff(decl_346,type,
    esk229_3: ( $i * $i * $i ) > $i ).

tff(decl_347,type,
    esk230_3: ( $i * $i * $i ) > $i ).

tff(decl_348,type,
    esk231_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_349,type,
    esk232_2: ( $i * $i ) > $i ).

tff(decl_350,type,
    esk233_2: ( $i * $i ) > $i ).

tff(decl_351,type,
    esk234_2: ( $i * $i ) > $i ).

tff(decl_352,type,
    esk235_2: ( $i * $i ) > $i ).

tff(decl_353,type,
    esk236_2: ( $i * $i ) > $i ).

tff(decl_354,type,
    esk237_2: ( $i * $i ) > $i ).

tff(decl_355,type,
    esk238_3: ( $i * $i * $i ) > $i ).

tff(decl_356,type,
    esk239_3: ( $i * $i * $i ) > $i ).

tff(decl_357,type,
    esk240_3: ( $i * $i * $i ) > $i ).

tff(decl_358,type,
    esk241_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_359,type,
    esk242_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_360,type,
    esk243_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_361,type,
    esk244_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_362,type,
    esk245_2: ( $i * $i ) > $i ).

tff(decl_363,type,
    esk246_3: ( $i * $i * $i ) > $i ).

tff(decl_364,type,
    esk247_3: ( $i * $i * $i ) > $i ).

tff(decl_365,type,
    esk248_1: $i > $i ).

tff(decl_366,type,
    esk249_2: ( $i * $i ) > $i ).

tff(decl_367,type,
    esk250_3: ( $i * $i * $i ) > $i ).

tff(decl_368,type,
    esk251_3: ( $i * $i * $i ) > $i ).

tff(decl_369,type,
    esk252_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_370,type,
    esk253_2: ( $i * $i ) > $i ).

tff(decl_371,type,
    esk254_3: ( $i * $i * $i ) > $i ).

tff(decl_372,type,
    esk255_3: ( $i * $i * $i ) > $i ).

tff(decl_373,type,
    esk256_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_374,type,
    esk257_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_375,type,
    esk258_1: $i > $i ).

tff(decl_376,type,
    esk259_3: ( $i * $i * $i ) > $i ).

tff(decl_377,type,
    esk260_2: ( $i * $i ) > $i ).

tff(decl_378,type,
    esk261_3: ( $i * $i * $i ) > $i ).

tff(decl_379,type,
    esk262_2: ( $i * $i ) > $i ).

tff(decl_380,type,
    esk263_2: ( $i * $i ) > $i ).

tff(decl_381,type,
    esk264_2: ( $i * $i ) > $i ).

tff(decl_382,type,
    esk265_2: ( $i * $i ) > $i ).

tff(decl_383,type,
    esk266_2: ( $i * $i ) > $i ).

tff(decl_384,type,
    esk267_2: ( $i * $i ) > $i ).

tff(decl_385,type,
    esk268_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_386,type,
    esk269_2: ( $i * $i ) > $i ).

tff(decl_387,type,
    esk270_3: ( $i * $i * $i ) > $i ).

tff(decl_388,type,
    esk271_1: $i > $i ).

tff(decl_389,type,
    esk272_1: $i > $i ).

tff(decl_390,type,
    esk273_1: $i > $i ).

tff(decl_391,type,
    esk274_1: $i > $i ).

tff(decl_392,type,
    esk275_1: $i > $i ).

tff(decl_393,type,
    esk276_0: $i ).

tff(decl_394,type,
    esk277_2: ( $i * $i ) > $i ).

tff(decl_395,type,
    esk278_0: $i ).

tff(decl_396,type,
    esk279_1: $i > $i ).

tff(decl_397,type,
    esk280_2: ( $i * $i ) > $i ).

tff(decl_398,type,
    esk281_1: $i > $i ).

tff(decl_399,type,
    esk282_1: $i > $i ).

tff(decl_400,type,
    esk283_3: ( $i * $i * $i ) > $i ).

tff(decl_401,type,
    esk284_3: ( $i * $i * $i ) > $i ).

tff(decl_402,type,
    esk285_2: ( $i * $i ) > $i ).

tff(decl_403,type,
    esk286_3: ( $i * $i * $i ) > $i ).

tff(decl_404,type,
    esk287_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_405,type,
    esk288_0: $i ).

tff(decl_406,type,
    esk289_0: $i ).

tff(decl_407,type,
    esk290_0: $i ).

tff(decl_408,type,
    esk291_3: ( $i * $i * $i ) > $i ).

tff(decl_409,type,
    esk292_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_410,type,
    esk293_1: $i > $i ).

tff(decl_411,type,
    esk294_1: $i > $i ).

tff(decl_412,type,
    esk295_1: $i > $i ).

tff(decl_413,type,
    esk296_2: ( $i * $i ) > $i ).

tff(decl_414,type,
    esk297_1: $i > $i ).

tff(decl_415,type,
    esk298_2: ( $i * $i ) > $i ).

tff(decl_416,type,
    esk299_2: ( $i * $i ) > $i ).

tff(decl_417,type,
    esk300_2: ( $i * $i ) > $i ).

tff(decl_418,type,
    esk301_1: $i > $i ).

tff(decl_419,type,
    esk302_1: $i > $i ).

tff(decl_420,type,
    esk303_2: ( $i * $i ) > $i ).

tff(decl_421,type,
    esk304_2: ( $i * $i ) > $i ).

tff(decl_422,type,
    esk305_2: ( $i * $i ) > $i ).

tff(decl_423,type,
    esk306_2: ( $i * $i ) > $i ).

tff(decl_424,type,
    esk307_2: ( $i * $i ) > $i ).

tff(decl_425,type,
    esk308_1: $i > $i ).

tff(decl_426,type,
    esk309_1: $i > $i ).

tff(decl_427,type,
    esk310_3: ( $i * $i * $i ) > $i ).

tff(decl_428,type,
    esk311_2: ( $i * $i ) > $i ).

tff(decl_429,type,
    esk312_1: $i > $i ).

tff(decl_430,type,
    esk313_2: ( $i * $i ) > $i ).

tff(decl_431,type,
    esk314_0: $i ).

tff(decl_432,type,
    esk315_1: $i > $i ).

tff(decl_433,type,
    esk316_0: $i ).

tff(decl_434,type,
    esk317_1: $i > $i ).

tff(decl_435,type,
    esk318_0: $i ).

tff(decl_436,type,
    esk319_1: $i > $i ).

tff(decl_437,type,
    esk320_3: ( $i * $i * $i ) > $i ).

tff(decl_438,type,
    esk321_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_439,type,
    esk322_3: ( $i * $i * $i ) > $i ).

tff(decl_440,type,
    esk323_4: ( $i * $i * $i * $i ) > $i ).

fof(t23_lattices,conjecture,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_absorbing(X1)
        & latt_str(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => below(X1,meet_commut(X1,X2,X3),X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_lattices) ).

fof(dt_k4_lattices,axiom,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_semilatt_str(X1)
        & element(X2,the_carrier(X1))
        & element(X3,the_carrier(X1)) )
     => element(meet_commut(X1,X2,X3),the_carrier(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattices) ).

fof(dt_l3_lattices,axiom,
    ! [X1] :
      ( latt_str(X1)
     => ( meet_semilatt_str(X1)
        & join_semilatt_str(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(commutativity_k4_lattices,axiom,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_semilatt_str(X1)
        & element(X2,the_carrier(X1))
        & element(X3,the_carrier(X1)) )
     => meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_lattices) ).

fof(redefinition_k4_lattices,axiom,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_semilatt_str(X1)
        & element(X2,the_carrier(X1))
        & element(X3,the_carrier(X1)) )
     => meet_commut(X1,X2,X3) = meet(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).

fof(d3_lattices,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & join_semilatt_str(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( below(X1,X2,X3)
              <=> join(X1,X2,X3) = X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).

fof(d8_lattices,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & latt_str(X1) )
     => ( meet_absorbing(X1)
      <=> ! [X2] :
            ( element(X2,the_carrier(X1))
           => ! [X3] :
                ( element(X3,the_carrier(X1))
               => join(X1,meet(X1,X2,X3),X3) = X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattices) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ empty_carrier(X1)
          & meet_commutative(X1)
          & meet_absorbing(X1)
          & latt_str(X1) )
       => ! [X2] :
            ( element(X2,the_carrier(X1))
           => ! [X3] :
                ( element(X3,the_carrier(X1))
               => below(X1,meet_commut(X1,X2,X3),X2) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t23_lattices])]) ).

fof(c_0_8,plain,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_semilatt_str(X1)
        & element(X2,the_carrier(X1))
        & element(X3,the_carrier(X1)) )
     => element(meet_commut(X1,X2,X3),the_carrier(X1)) ),
    inference(fof_simplification,[status(thm)],[dt_k4_lattices]) ).

fof(c_0_9,plain,
    ! [X529] :
      ( ( meet_semilatt_str(X529)
        | ~ latt_str(X529) )
      & ( join_semilatt_str(X529)
        | ~ latt_str(X529) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).

fof(c_0_10,negated_conjecture,
    ( ~ empty_carrier(esk288_0)
    & meet_commutative(esk288_0)
    & meet_absorbing(esk288_0)
    & latt_str(esk288_0)
    & element(esk289_0,the_carrier(esk288_0))
    & element(esk290_0,the_carrier(esk288_0))
    & ~ below(esk288_0,meet_commut(esk288_0,esk289_0,esk290_0),esk289_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

fof(c_0_11,plain,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_semilatt_str(X1)
        & element(X2,the_carrier(X1))
        & element(X3,the_carrier(X1)) )
     => meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2) ),
    inference(fof_simplification,[status(thm)],[commutativity_k4_lattices]) ).

fof(c_0_12,plain,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_semilatt_str(X1)
        & element(X2,the_carrier(X1))
        & element(X3,the_carrier(X1)) )
     => meet_commut(X1,X2,X3) = meet(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[redefinition_k4_lattices]) ).

fof(c_0_13,plain,
    ! [X501,X502,X503] :
      ( empty_carrier(X501)
      | ~ meet_commutative(X501)
      | ~ meet_semilatt_str(X501)
      | ~ element(X502,the_carrier(X501))
      | ~ element(X503,the_carrier(X501))
      | element(meet_commut(X501,X502,X503),the_carrier(X501)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).

cnf(c_0_14,plain,
    ( meet_semilatt_str(X1)
    | ~ latt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    latt_str(esk288_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_16,plain,
    ! [X49,X50,X51] :
      ( empty_carrier(X49)
      | ~ meet_commutative(X49)
      | ~ meet_semilatt_str(X49)
      | ~ element(X50,the_carrier(X49))
      | ~ element(X51,the_carrier(X49))
      | meet_commut(X49,X50,X51) = meet_commut(X49,X51,X50) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).

fof(c_0_17,plain,
    ! [X704,X705,X706] :
      ( empty_carrier(X704)
      | ~ meet_commutative(X704)
      | ~ meet_semilatt_str(X704)
      | ~ element(X705,the_carrier(X704))
      | ~ element(X706,the_carrier(X704))
      | meet_commut(X704,X705,X706) = meet(X704,X705,X706) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).

cnf(c_0_18,plain,
    ( empty_carrier(X1)
    | element(meet_commut(X1,X2,X3),the_carrier(X1))
    | ~ meet_commutative(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    element(esk289_0,the_carrier(esk288_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,negated_conjecture,
    meet_commutative(esk288_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_21,negated_conjecture,
    ~ empty_carrier(esk288_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_22,negated_conjecture,
    meet_semilatt_str(esk288_0),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_23,plain,
    ( empty_carrier(X1)
    | meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2)
    | ~ meet_commutative(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    element(esk290_0,the_carrier(esk288_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,plain,
    ( empty_carrier(X1)
    | meet_commut(X1,X2,X3) = meet(X1,X2,X3)
    | ~ meet_commutative(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_26,plain,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & join_semilatt_str(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( below(X1,X2,X3)
              <=> join(X1,X2,X3) = X3 ) ) ) ),
    inference(fof_simplification,[status(thm)],[d3_lattices]) ).

cnf(c_0_27,negated_conjecture,
    ( element(meet_commut(esk288_0,X1,esk289_0),the_carrier(esk288_0))
    | ~ element(X1,the_carrier(esk288_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]),c_0_22])]) ).

cnf(c_0_28,negated_conjecture,
    ( meet_commut(esk288_0,X1,esk290_0) = meet_commut(esk288_0,esk290_0,X1)
    | ~ element(X1,the_carrier(esk288_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_20])]),c_0_21]),c_0_22])]) ).

cnf(c_0_29,negated_conjecture,
    ( meet_commut(esk288_0,X1,esk289_0) = meet(esk288_0,X1,esk289_0)
    | ~ element(X1,the_carrier(esk288_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_20])]),c_0_21]),c_0_22])]) ).

fof(c_0_30,plain,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & latt_str(X1) )
     => ( meet_absorbing(X1)
      <=> ! [X2] :
            ( element(X2,the_carrier(X1))
           => ! [X3] :
                ( element(X3,the_carrier(X1))
               => join(X1,meet(X1,X2,X3),X3) = X3 ) ) ) ),
    inference(fof_simplification,[status(thm)],[d8_lattices]) ).

fof(c_0_31,plain,
    ! [X295,X296,X297] :
      ( ( ~ below(X295,X296,X297)
        | join(X295,X296,X297) = X297
        | ~ element(X297,the_carrier(X295))
        | ~ element(X296,the_carrier(X295))
        | empty_carrier(X295)
        | ~ join_semilatt_str(X295) )
      & ( join(X295,X296,X297) != X297
        | below(X295,X296,X297)
        | ~ element(X297,the_carrier(X295))
        | ~ element(X296,the_carrier(X295))
        | empty_carrier(X295)
        | ~ join_semilatt_str(X295) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).

cnf(c_0_32,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_33,negated_conjecture,
    element(meet_commut(esk288_0,esk289_0,esk290_0),the_carrier(esk288_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_24]),c_0_19])]) ).

cnf(c_0_34,negated_conjecture,
    meet_commut(esk288_0,esk289_0,esk290_0) = meet(esk288_0,esk290_0,esk289_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_19]),c_0_24])]) ).

fof(c_0_35,plain,
    ! [X446,X447,X448] :
      ( ( ~ meet_absorbing(X446)
        | ~ element(X447,the_carrier(X446))
        | ~ element(X448,the_carrier(X446))
        | join(X446,meet(X446,X447,X448),X448) = X448
        | empty_carrier(X446)
        | ~ latt_str(X446) )
      & ( element(esk84_1(X446),the_carrier(X446))
        | meet_absorbing(X446)
        | empty_carrier(X446)
        | ~ latt_str(X446) )
      & ( element(esk85_1(X446),the_carrier(X446))
        | meet_absorbing(X446)
        | empty_carrier(X446)
        | ~ latt_str(X446) )
      & ( join(X446,meet(X446,esk84_1(X446),esk85_1(X446)),esk85_1(X446)) != esk85_1(X446)
        | meet_absorbing(X446)
        | empty_carrier(X446)
        | ~ latt_str(X446) ) ),
    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_30])])])])]) ).

cnf(c_0_36,negated_conjecture,
    ~ below(esk288_0,meet_commut(esk288_0,esk289_0,esk290_0),esk289_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_37,negated_conjecture,
    ( meet_commut(esk288_0,X1,esk290_0) = meet(esk288_0,X1,esk290_0)
    | ~ element(X1,the_carrier(esk288_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_24]),c_0_20])]),c_0_21]),c_0_22])]) ).

cnf(c_0_38,plain,
    ( below(X1,X2,X3)
    | empty_carrier(X1)
    | join(X1,X2,X3) != X3
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ join_semilatt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    join_semilatt_str(esk288_0),
    inference(spm,[status(thm)],[c_0_32,c_0_15]) ).

cnf(c_0_40,negated_conjecture,
    element(meet(esk288_0,esk290_0,esk289_0),the_carrier(esk288_0)),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    meet(esk288_0,esk290_0,esk289_0) = meet(esk288_0,esk289_0,esk290_0),
    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_25,c_0_34]),c_0_22]),c_0_20]),c_0_24]),c_0_19])]),c_0_21]) ).

cnf(c_0_42,plain,
    ( join(X1,meet(X1,X2,X3),X3) = X3
    | empty_carrier(X1)
    | ~ meet_absorbing(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ latt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,negated_conjecture,
    meet_absorbing(esk288_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_44,negated_conjecture,
    ~ below(esk288_0,meet(esk288_0,esk289_0,esk290_0),esk289_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_19])]) ).

cnf(c_0_45,negated_conjecture,
    ( below(esk288_0,X1,esk289_0)
    | join(esk288_0,X1,esk289_0) != esk289_0
    | ~ element(X1,the_carrier(esk288_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_19]),c_0_21]),c_0_39])]) ).

cnf(c_0_46,negated_conjecture,
    element(meet(esk288_0,esk289_0,esk290_0),the_carrier(esk288_0)),
    inference(rw,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_47,negated_conjecture,
    join(esk288_0,meet(esk288_0,esk289_0,esk290_0),esk289_0) = esk289_0,
    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_42,c_0_41]),c_0_43]),c_0_15]),c_0_19]),c_0_24])]),c_0_21]) ).

cnf(c_0_48,negated_conjecture,
    join(esk288_0,meet(esk288_0,esk289_0,esk290_0),esk289_0) != esk289_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).

cnf(c_0_49,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_47,c_0_48]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16  % Problem    : SEU304+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.16  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.36  % Computer : n006.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit   : 300
% 0.12/0.36  % WCLimit    : 300
% 0.12/0.36  % DateTime   : Wed Aug 23 19:42:23 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 0.17/0.58  start to proof: theBenchmark
% 103.53/103.62  % Version  : CSE_E---1.5
% 103.53/103.62  % Problem  : theBenchmark.p
% 103.53/103.62  % Proof found
% 103.53/103.62  % SZS status Theorem for theBenchmark.p
% 103.53/103.62  % SZS output start Proof
% See solution above
% 103.53/103.64  % Total time : 103.027000 s
% 103.53/103.64  % SZS output end Proof
% 103.53/103.64  % Total time : 103.049000 s
%------------------------------------------------------------------------------