TSTP Solution File: SEU344+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU344+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 : n021.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 16:24:37 EDT 2023
% Result : Theorem 19.14s 19.21s
% Output : CNFRefutation 19.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 587
% Syntax : Number of formulae : 628 ( 18 unt; 578 typ; 0 def)
% Number of atoms : 166 ( 44 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 187 ( 71 ~; 71 |; 23 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1149 ( 536 >; 613 *; 0 +; 0 <<)
% Number of predicates : 81 ( 79 usr; 2 prp; 0-3 aty)
% Number of functors : 499 ( 499 usr; 41 con; 0-7 aty)
% Number of variables : 68 ( 4 sgn; 44 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
latt_str: $i > $o ).
tff(decl_23,type,
strict_latt_str: $i > $o ).
tff(decl_24,type,
the_carrier: $i > $i ).
tff(decl_25,type,
the_L_join: $i > $i ).
tff(decl_26,type,
the_L_meet: $i > $i ).
tff(decl_27,type,
latt_str_of: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
in: ( $i * $i ) > $o ).
tff(decl_29,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_30,type,
v1_membered: $i > $o ).
tff(decl_31,type,
element: ( $i * $i ) > $o ).
tff(decl_32,type,
v1_xcmplx_0: $i > $o ).
tff(decl_33,type,
v2_membered: $i > $o ).
tff(decl_34,type,
v1_xreal_0: $i > $o ).
tff(decl_35,type,
v3_membered: $i > $o ).
tff(decl_36,type,
v1_rat_1: $i > $o ).
tff(decl_37,type,
v4_membered: $i > $o ).
tff(decl_38,type,
v1_int_1: $i > $o ).
tff(decl_39,type,
v5_membered: $i > $o ).
tff(decl_40,type,
natural: $i > $o ).
tff(decl_41,type,
empty: $i > $o ).
tff(decl_42,type,
powerset: $i > $i ).
tff(decl_43,type,
ordinal: $i > $o ).
tff(decl_44,type,
epsilon_transitive: $i > $o ).
tff(decl_45,type,
epsilon_connected: $i > $o ).
tff(decl_46,type,
finite: $i > $o ).
tff(decl_47,type,
preboolean: $i > $o ).
tff(decl_48,type,
cup_closed: $i > $o ).
tff(decl_49,type,
diff_closed: $i > $o ).
tff(decl_50,type,
function: $i > $o ).
tff(decl_51,type,
empty_carrier: $i > $o ).
tff(decl_52,type,
lattice: $i > $o ).
tff(decl_53,type,
join_commutative: $i > $o ).
tff(decl_54,type,
join_associative: $i > $o ).
tff(decl_55,type,
meet_commutative: $i > $o ).
tff(decl_56,type,
meet_associative: $i > $o ).
tff(decl_57,type,
meet_absorbing: $i > $o ).
tff(decl_58,type,
join_absorbing: $i > $o ).
tff(decl_59,type,
relation: $i > $o ).
tff(decl_60,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_61,type,
one_to_one: $i > $o ).
tff(decl_62,type,
omega: $i ).
tff(decl_63,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_64,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_65,type,
join_semilatt_str: $i > $o ).
tff(decl_66,type,
join_commut: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_68,type,
meet_semilatt_str: $i > $o ).
tff(decl_69,type,
meet_commut: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
subset_union2: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
subset_intersection2: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_73,type,
identity_relation: $i > $i ).
tff(decl_74,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_75,type,
subset: ( $i * $i ) > $o ).
tff(decl_76,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_77,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_78,type,
relation_dom: $i > $i ).
tff(decl_79,type,
apply: ( $i * $i ) > $i ).
tff(decl_80,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_81,type,
antisymmetric: $i > $o ).
tff(decl_82,type,
relation_field: $i > $i ).
tff(decl_83,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_84,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_85,type,
top_str: $i > $o ).
tff(decl_86,type,
topstr_closure: ( $i * $i ) > $i ).
tff(decl_87,type,
open_subset: ( $i * $i ) > $o ).
tff(decl_88,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_89,type,
connected: $i > $o ).
tff(decl_90,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_91,type,
transitive: $i > $o ).
tff(decl_92,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_93,type,
apply_binary: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
topological_space: $i > $o ).
tff(decl_95,type,
point_neighbourhood: ( $i * $i * $i ) > $o ).
tff(decl_96,type,
interior: ( $i * $i ) > $i ).
tff(decl_97,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
relation_rng: $i > $i ).
tff(decl_99,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_100,type,
empty_set: $i ).
tff(decl_101,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_102,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
boole_lattice: $i > $i ).
tff(decl_104,type,
join: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
pair_first: $i > $i ).
tff(decl_107,type,
succ: $i > $i ).
tff(decl_108,type,
singleton: $i > $i ).
tff(decl_109,type,
the_topology: $i > $i ).
tff(decl_110,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_111,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_112,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_113,type,
set_meet: $i > $i ).
tff(decl_114,type,
one_sorted_str: $i > $o ).
tff(decl_115,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_116,type,
open_subsets: ( $i * $i ) > $o ).
tff(decl_117,type,
fiber: ( $i * $i ) > $i ).
tff(decl_118,type,
inclusion_relation: $i > $i ).
tff(decl_119,type,
centered: $i > $o ).
tff(decl_120,type,
meet: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
pair_second: $i > $i ).
tff(decl_122,type,
empty_carrier_subset: $i > $i ).
tff(decl_123,type,
closed_subsets: ( $i * $i ) > $o ).
tff(decl_124,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_125,type,
well_founded_relation: $i > $o ).
tff(decl_126,type,
compact_top_space: $i > $o ).
tff(decl_127,type,
is_a_cover_of_carrier: ( $i * $i ) > $o ).
tff(decl_128,type,
below: ( $i * $i * $i ) > $o ).
tff(decl_129,type,
cast_as_carrier_subset: $i > $i ).
tff(decl_130,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_131,type,
cast_to_subset: $i > $i ).
tff(decl_132,type,
union: $i > $i ).
tff(decl_133,type,
well_ordering: $i > $o ).
tff(decl_134,type,
reflexive: $i > $o ).
tff(decl_135,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_136,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_137,type,
rel_str: $i > $o ).
tff(decl_138,type,
transitive_relstr: $i > $o ).
tff(decl_139,type,
the_InternalRel: $i > $i ).
tff(decl_140,type,
being_limit_ordinal: $i > $o ).
tff(decl_141,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_142,type,
antisymmetric_relstr: $i > $o ).
tff(decl_143,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_145,type,
relation_inverse: $i > $i ).
tff(decl_146,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_147,type,
relation_of_lattice: $i > $i ).
tff(decl_148,type,
a_1_0_filter_1: $i > $i ).
tff(decl_149,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_150,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_151,type,
function_inverse: $i > $i ).
tff(decl_152,type,
related: ( $i * $i * $i ) > $o ).
tff(decl_153,type,
ordered_pair_as_product_element: ( $i * $i * $i * $i ) > $i ).
tff(decl_154,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_155,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_156,type,
relation_empty_yielding: $i > $o ).
tff(decl_157,type,
below_refl: ( $i * $i * $i ) > $o ).
tff(decl_158,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_159,type,
epred1_0: $o ).
tff(decl_160,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_161,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_162,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_165,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_170,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_172,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_173,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_176,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_178,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_179,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_180,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_181,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_182,type,
esk21_1: $i > $i ).
tff(decl_183,type,
esk22_1: $i > $i ).
tff(decl_184,type,
esk23_1: $i > $i ).
tff(decl_185,type,
esk24_1: $i > $i ).
tff(decl_186,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_187,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_188,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_189,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_190,type,
esk29_1: $i > $i ).
tff(decl_191,type,
esk30_1: $i > $i ).
tff(decl_192,type,
esk31_1: $i > $i ).
tff(decl_193,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_194,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_195,type,
esk34_1: $i > $i ).
tff(decl_196,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_197,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_198,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_199,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_200,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_201,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_202,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_203,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_204,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_205,type,
esk44_1: $i > $i ).
tff(decl_206,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_207,type,
esk46_1: $i > $i ).
tff(decl_208,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk49_1: $i > $i ).
tff(decl_211,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_212,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_213,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_215,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_216,type,
esk55_1: $i > $i ).
tff(decl_217,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_218,type,
esk57_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_219,type,
esk58_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_220,type,
esk59_3: ( $i * $i * $i ) > $i ).
tff(decl_221,type,
esk60_3: ( $i * $i * $i ) > $i ).
tff(decl_222,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_223,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_224,type,
esk63_1: $i > $i ).
tff(decl_225,type,
esk64_1: $i > $i ).
tff(decl_226,type,
esk65_1: $i > $i ).
tff(decl_227,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_228,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_229,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_230,type,
esk69_3: ( $i * $i * $i ) > $i ).
tff(decl_231,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_232,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_233,type,
esk72_3: ( $i * $i * $i ) > $i ).
tff(decl_234,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_235,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_236,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_237,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_238,type,
esk77_3: ( $i * $i * $i ) > $i ).
tff(decl_239,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_240,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_241,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_242,type,
esk81_3: ( $i * $i * $i ) > $i ).
tff(decl_243,type,
esk82_3: ( $i * $i * $i ) > $i ).
tff(decl_244,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_245,type,
esk84_2: ( $i * $i ) > $i ).
tff(decl_246,type,
esk85_1: $i > $i ).
tff(decl_247,type,
esk86_3: ( $i * $i * $i ) > $i ).
tff(decl_248,type,
esk87_2: ( $i * $i ) > $i ).
tff(decl_249,type,
esk88_2: ( $i * $i ) > $i ).
tff(decl_250,type,
esk89_2: ( $i * $i ) > $i ).
tff(decl_251,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_252,type,
esk91_2: ( $i * $i ) > $i ).
tff(decl_253,type,
esk92_2: ( $i * $i ) > $i ).
tff(decl_254,type,
esk93_3: ( $i * $i * $i ) > $i ).
tff(decl_255,type,
esk94_3: ( $i * $i * $i ) > $i ).
tff(decl_256,type,
esk95_1: $i > $i ).
tff(decl_257,type,
esk96_1: $i > $i ).
tff(decl_258,type,
esk97_1: $i > $i ).
tff(decl_259,type,
esk98_1: $i > $i ).
tff(decl_260,type,
esk99_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_261,type,
esk100_3: ( $i * $i * $i ) > $i ).
tff(decl_262,type,
esk101_3: ( $i * $i * $i ) > $i ).
tff(decl_263,type,
esk102_3: ( $i * $i * $i ) > $i ).
tff(decl_264,type,
esk103_2: ( $i * $i ) > $i ).
tff(decl_265,type,
esk104_2: ( $i * $i ) > $i ).
tff(decl_266,type,
esk105_2: ( $i * $i ) > $i ).
tff(decl_267,type,
esk106_3: ( $i * $i * $i ) > $i ).
tff(decl_268,type,
esk107_0: $i ).
tff(decl_269,type,
esk108_0: $i ).
tff(decl_270,type,
esk109_0: $i ).
tff(decl_271,type,
esk110_0: $i ).
tff(decl_272,type,
esk111_0: $i ).
tff(decl_273,type,
esk112_0: $i ).
tff(decl_274,type,
esk113_2: ( $i * $i ) > $i ).
tff(decl_275,type,
esk114_2: ( $i * $i ) > $i ).
tff(decl_276,type,
esk115_1: $i > $i ).
tff(decl_277,type,
esk116_2: ( $i * $i ) > $i ).
tff(decl_278,type,
esk117_2: ( $i * $i ) > $i ).
tff(decl_279,type,
esk118_2: ( $i * $i ) > $i ).
tff(decl_280,type,
esk119_1: $i > $i ).
tff(decl_281,type,
esk120_1: $i > $i ).
tff(decl_282,type,
esk121_1: $i > $i ).
tff(decl_283,type,
esk122_1: $i > $i ).
tff(decl_284,type,
esk123_2: ( $i * $i ) > $i ).
tff(decl_285,type,
esk124_1: $i > $i ).
tff(decl_286,type,
esk125_1: $i > $i ).
tff(decl_287,type,
esk126_1: $i > $i ).
tff(decl_288,type,
esk127_1: $i > $i ).
tff(decl_289,type,
esk128_2: ( $i * $i ) > $i ).
tff(decl_290,type,
esk129_0: $i ).
tff(decl_291,type,
esk130_0: $i ).
tff(decl_292,type,
esk131_0: $i ).
tff(decl_293,type,
esk132_2: ( $i * $i ) > $i ).
tff(decl_294,type,
esk133_0: $i ).
tff(decl_295,type,
esk134_0: $i ).
tff(decl_296,type,
esk135_0: $i ).
tff(decl_297,type,
esk136_0: $i ).
tff(decl_298,type,
esk137_0: $i ).
tff(decl_299,type,
esk138_1: $i > $i ).
tff(decl_300,type,
esk139_1: $i > $i ).
tff(decl_301,type,
esk140_0: $i ).
tff(decl_302,type,
esk141_1: $i > $i ).
tff(decl_303,type,
esk142_0: $i ).
tff(decl_304,type,
esk143_0: $i ).
tff(decl_305,type,
esk144_2: ( $i * $i ) > $i ).
tff(decl_306,type,
esk145_0: $i ).
tff(decl_307,type,
esk146_1: $i > $i ).
tff(decl_308,type,
esk147_1: $i > $i ).
tff(decl_309,type,
esk148_0: $i ).
tff(decl_310,type,
esk149_1: $i > $i ).
tff(decl_311,type,
esk150_0: $i ).
tff(decl_312,type,
esk151_0: $i ).
tff(decl_313,type,
esk152_0: $i ).
tff(decl_314,type,
esk153_0: $i ).
tff(decl_315,type,
esk154_0: $i ).
tff(decl_316,type,
esk155_1: $i > $i ).
tff(decl_317,type,
esk156_0: $i ).
tff(decl_318,type,
esk157_1: $i > $i ).
tff(decl_319,type,
esk158_0: $i ).
tff(decl_320,type,
esk159_1: $i > $i ).
tff(decl_321,type,
esk160_1: $i > $i ).
tff(decl_322,type,
esk161_2: ( $i * $i ) > $i ).
tff(decl_323,type,
esk162_2: ( $i * $i ) > $i ).
tff(decl_324,type,
esk163_2: ( $i * $i ) > $i ).
tff(decl_325,type,
esk164_2: ( $i * $i ) > $i ).
tff(decl_326,type,
esk165_2: ( $i * $i ) > $i ).
tff(decl_327,type,
esk166_2: ( $i * $i ) > $i ).
tff(decl_328,type,
esk167_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_329,type,
esk168_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_330,type,
esk169_1: $i > $i ).
tff(decl_331,type,
esk170_1: $i > $i ).
tff(decl_332,type,
esk171_1: $i > $i ).
tff(decl_333,type,
esk172_1: $i > $i ).
tff(decl_334,type,
esk173_2: ( $i * $i ) > $i ).
tff(decl_335,type,
esk174_2: ( $i * $i ) > $i ).
tff(decl_336,type,
esk175_2: ( $i * $i ) > $i ).
tff(decl_337,type,
esk176_2: ( $i * $i ) > $i ).
tff(decl_338,type,
esk177_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_339,type,
esk178_2: ( $i * $i ) > $i ).
tff(decl_340,type,
esk179_2: ( $i * $i ) > $i ).
tff(decl_341,type,
esk180_2: ( $i * $i ) > $i ).
tff(decl_342,type,
esk181_2: ( $i * $i ) > $i ).
tff(decl_343,type,
esk182_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_344,type,
esk183_1: $i > $i ).
tff(decl_345,type,
esk184_0: $i ).
tff(decl_346,type,
esk185_2: ( $i * $i ) > $i ).
tff(decl_347,type,
esk186_0: $i ).
tff(decl_348,type,
esk187_1: $i > $i ).
tff(decl_349,type,
esk188_2: ( $i * $i ) > $i ).
tff(decl_350,type,
esk189_3: ( $i * $i * $i ) > $i ).
tff(decl_351,type,
esk190_2: ( $i * $i ) > $i ).
tff(decl_352,type,
esk191_2: ( $i * $i ) > $i ).
tff(decl_353,type,
esk192_2: ( $i * $i ) > $i ).
tff(decl_354,type,
esk193_2: ( $i * $i ) > $i ).
tff(decl_355,type,
esk194_2: ( $i * $i ) > $i ).
tff(decl_356,type,
esk195_2: ( $i * $i ) > $i ).
tff(decl_357,type,
esk196_3: ( $i * $i * $i ) > $i ).
tff(decl_358,type,
esk197_3: ( $i * $i * $i ) > $i ).
tff(decl_359,type,
esk198_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_360,type,
esk199_2: ( $i * $i ) > $i ).
tff(decl_361,type,
esk200_2: ( $i * $i ) > $i ).
tff(decl_362,type,
esk201_2: ( $i * $i ) > $i ).
tff(decl_363,type,
esk202_2: ( $i * $i ) > $i ).
tff(decl_364,type,
esk203_2: ( $i * $i ) > $i ).
tff(decl_365,type,
esk204_2: ( $i * $i ) > $i ).
tff(decl_366,type,
esk205_2: ( $i * $i ) > $i ).
tff(decl_367,type,
esk206_2: ( $i * $i ) > $i ).
tff(decl_368,type,
esk207_2: ( $i * $i ) > $i ).
tff(decl_369,type,
esk208_3: ( $i * $i * $i ) > $i ).
tff(decl_370,type,
esk209_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_371,type,
esk210_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_372,type,
esk211_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_373,type,
esk212_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_374,type,
esk213_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_375,type,
esk214_1: $i > $i ).
tff(decl_376,type,
esk215_1: $i > $i ).
tff(decl_377,type,
esk216_1: $i > $i ).
tff(decl_378,type,
esk217_1: $i > $i ).
tff(decl_379,type,
esk218_2: ( $i * $i ) > $i ).
tff(decl_380,type,
esk219_1: $i > $i ).
tff(decl_381,type,
esk220_1: $i > $i ).
tff(decl_382,type,
esk221_1: $i > $i ).
tff(decl_383,type,
esk222_1: $i > $i ).
tff(decl_384,type,
esk223_1: $i > $i ).
tff(decl_385,type,
esk224_1: $i > $i ).
tff(decl_386,type,
esk225_1: $i > $i ).
tff(decl_387,type,
esk226_2: ( $i * $i ) > $i ).
tff(decl_388,type,
esk227_3: ( $i * $i * $i ) > $i ).
tff(decl_389,type,
esk228_3: ( $i * $i * $i ) > $i ).
tff(decl_390,type,
esk229_3: ( $i * $i * $i ) > $i ).
tff(decl_391,type,
esk230_1: $i > $i ).
tff(decl_392,type,
esk231_1: $i > $i ).
tff(decl_393,type,
esk232_1: $i > $i ).
tff(decl_394,type,
esk233_1: $i > $i ).
tff(decl_395,type,
esk234_2: ( $i * $i ) > $i ).
tff(decl_396,type,
esk235_2: ( $i * $i ) > $i ).
tff(decl_397,type,
esk236_3: ( $i * $i * $i ) > $i ).
tff(decl_398,type,
esk237_3: ( $i * $i * $i ) > $i ).
tff(decl_399,type,
esk238_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_400,type,
esk239_2: ( $i * $i ) > $i ).
tff(decl_401,type,
esk240_2: ( $i * $i ) > $i ).
tff(decl_402,type,
esk241_2: ( $i * $i ) > $i ).
tff(decl_403,type,
esk242_2: ( $i * $i ) > $i ).
tff(decl_404,type,
esk243_2: ( $i * $i ) > $i ).
tff(decl_405,type,
esk244_2: ( $i * $i ) > $i ).
tff(decl_406,type,
esk245_3: ( $i * $i * $i ) > $i ).
tff(decl_407,type,
esk246_3: ( $i * $i * $i ) > $i ).
tff(decl_408,type,
esk247_2: ( $i * $i ) > $i ).
tff(decl_409,type,
esk248_2: ( $i * $i ) > $i ).
tff(decl_410,type,
esk249_2: ( $i * $i ) > $i ).
tff(decl_411,type,
esk250_2: ( $i * $i ) > $i ).
tff(decl_412,type,
esk251_3: ( $i * $i * $i ) > $i ).
tff(decl_413,type,
esk252_2: ( $i * $i ) > $i ).
tff(decl_414,type,
esk253_2: ( $i * $i ) > $i ).
tff(decl_415,type,
esk254_2: ( $i * $i ) > $i ).
tff(decl_416,type,
esk255_2: ( $i * $i ) > $i ).
tff(decl_417,type,
esk256_2: ( $i * $i ) > $i ).
tff(decl_418,type,
esk257_2: ( $i * $i ) > $i ).
tff(decl_419,type,
esk258_3: ( $i * $i * $i ) > $i ).
tff(decl_420,type,
esk259_3: ( $i * $i * $i ) > $i ).
tff(decl_421,type,
esk260_2: ( $i * $i ) > $i ).
tff(decl_422,type,
esk261_2: ( $i * $i ) > $i ).
tff(decl_423,type,
esk262_2: ( $i * $i ) > $i ).
tff(decl_424,type,
esk263_2: ( $i * $i ) > $i ).
tff(decl_425,type,
esk264_3: ( $i * $i * $i ) > $i ).
tff(decl_426,type,
esk265_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_427,type,
esk266_2: ( $i * $i ) > $i ).
tff(decl_428,type,
esk267_2: ( $i * $i ) > $i ).
tff(decl_429,type,
esk268_2: ( $i * $i ) > $i ).
tff(decl_430,type,
esk269_2: ( $i * $i ) > $i ).
tff(decl_431,type,
esk270_2: ( $i * $i ) > $i ).
tff(decl_432,type,
esk271_2: ( $i * $i ) > $i ).
tff(decl_433,type,
esk272_2: ( $i * $i ) > $i ).
tff(decl_434,type,
esk273_3: ( $i * $i * $i ) > $i ).
tff(decl_435,type,
esk274_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_436,type,
esk275_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_437,type,
esk276_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_438,type,
esk277_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_439,type,
esk278_2: ( $i * $i ) > $i ).
tff(decl_440,type,
esk279_2: ( $i * $i ) > $i ).
tff(decl_441,type,
esk280_2: ( $i * $i ) > $i ).
tff(decl_442,type,
esk281_2: ( $i * $i ) > $i ).
tff(decl_443,type,
esk282_3: ( $i * $i * $i ) > $i ).
tff(decl_444,type,
esk283_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_445,type,
esk284_2: ( $i * $i ) > $i ).
tff(decl_446,type,
esk285_2: ( $i * $i ) > $i ).
tff(decl_447,type,
esk286_2: ( $i * $i ) > $i ).
tff(decl_448,type,
esk287_2: ( $i * $i ) > $i ).
tff(decl_449,type,
esk288_2: ( $i * $i ) > $i ).
tff(decl_450,type,
esk289_2: ( $i * $i ) > $i ).
tff(decl_451,type,
esk290_2: ( $i * $i ) > $i ).
tff(decl_452,type,
esk291_3: ( $i * $i * $i ) > $i ).
tff(decl_453,type,
esk292_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_454,type,
esk293_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_455,type,
esk294_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_456,type,
esk295_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_457,type,
esk296_3: ( $i * $i * $i ) > $i ).
tff(decl_458,type,
esk297_3: ( $i * $i * $i ) > $i ).
tff(decl_459,type,
esk298_3: ( $i * $i * $i ) > $i ).
tff(decl_460,type,
esk299_3: ( $i * $i * $i ) > $i ).
tff(decl_461,type,
esk300_3: ( $i * $i * $i ) > $i ).
tff(decl_462,type,
esk301_3: ( $i * $i * $i ) > $i ).
tff(decl_463,type,
esk302_3: ( $i * $i * $i ) > $i ).
tff(decl_464,type,
esk303_3: ( $i * $i * $i ) > $i ).
tff(decl_465,type,
esk304_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_466,type,
esk305_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_467,type,
esk306_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_468,type,
esk307_0: $i ).
tff(decl_469,type,
esk308_0: $i ).
tff(decl_470,type,
esk309_0: $i ).
tff(decl_471,type,
esk310_1: $i > $i ).
tff(decl_472,type,
esk311_2: ( $i * $i ) > $i ).
tff(decl_473,type,
esk312_3: ( $i * $i * $i ) > $i ).
tff(decl_474,type,
esk313_3: ( $i * $i * $i ) > $i ).
tff(decl_475,type,
esk314_3: ( $i * $i * $i ) > $i ).
tff(decl_476,type,
esk315_3: ( $i * $i * $i ) > $i ).
tff(decl_477,type,
esk316_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_478,type,
esk317_2: ( $i * $i ) > $i ).
tff(decl_479,type,
esk318_2: ( $i * $i ) > $i ).
tff(decl_480,type,
esk319_2: ( $i * $i ) > $i ).
tff(decl_481,type,
esk320_2: ( $i * $i ) > $i ).
tff(decl_482,type,
esk321_2: ( $i * $i ) > $i ).
tff(decl_483,type,
esk322_2: ( $i * $i ) > $i ).
tff(decl_484,type,
esk323_3: ( $i * $i * $i ) > $i ).
tff(decl_485,type,
esk324_3: ( $i * $i * $i ) > $i ).
tff(decl_486,type,
esk325_3: ( $i * $i * $i ) > $i ).
tff(decl_487,type,
esk326_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_488,type,
esk327_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_489,type,
esk328_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_490,type,
esk329_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_491,type,
esk330_2: ( $i * $i ) > $i ).
tff(decl_492,type,
esk331_3: ( $i * $i * $i ) > $i ).
tff(decl_493,type,
esk332_3: ( $i * $i * $i ) > $i ).
tff(decl_494,type,
esk333_1: $i > $i ).
tff(decl_495,type,
esk334_2: ( $i * $i ) > $i ).
tff(decl_496,type,
esk335_3: ( $i * $i * $i ) > $i ).
tff(decl_497,type,
esk336_3: ( $i * $i * $i ) > $i ).
tff(decl_498,type,
esk337_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_499,type,
esk338_2: ( $i * $i ) > $i ).
tff(decl_500,type,
esk339_3: ( $i * $i * $i ) > $i ).
tff(decl_501,type,
esk340_2: ( $i * $i ) > $i ).
tff(decl_502,type,
esk341_2: ( $i * $i ) > $i ).
tff(decl_503,type,
esk342_3: ( $i * $i * $i ) > $i ).
tff(decl_504,type,
esk343_3: ( $i * $i * $i ) > $i ).
tff(decl_505,type,
esk344_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_506,type,
esk345_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_507,type,
esk346_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_508,type,
esk347_3: ( $i * $i * $i ) > $i ).
tff(decl_509,type,
esk348_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_510,type,
esk349_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_511,type,
esk350_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_512,type,
esk351_3: ( $i * $i * $i ) > $i ).
tff(decl_513,type,
esk352_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_514,type,
esk353_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_515,type,
esk354_1: $i > $i ).
tff(decl_516,type,
esk355_3: ( $i * $i * $i ) > $i ).
tff(decl_517,type,
esk356_2: ( $i * $i ) > $i ).
tff(decl_518,type,
esk357_3: ( $i * $i * $i ) > $i ).
tff(decl_519,type,
esk358_2: ( $i * $i ) > $i ).
tff(decl_520,type,
esk359_2: ( $i * $i ) > $i ).
tff(decl_521,type,
esk360_2: ( $i * $i ) > $i ).
tff(decl_522,type,
esk361_2: ( $i * $i ) > $i ).
tff(decl_523,type,
esk362_2: ( $i * $i ) > $i ).
tff(decl_524,type,
esk363_2: ( $i * $i ) > $i ).
tff(decl_525,type,
esk364_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_526,type,
esk365_2: ( $i * $i ) > $i ).
tff(decl_527,type,
esk366_3: ( $i * $i * $i ) > $i ).
tff(decl_528,type,
esk367_1: $i > $i ).
tff(decl_529,type,
esk368_1: $i > $i ).
tff(decl_530,type,
esk369_1: $i > $i ).
tff(decl_531,type,
esk370_1: $i > $i ).
tff(decl_532,type,
esk371_1: $i > $i ).
tff(decl_533,type,
esk372_2: ( $i * $i ) > $i ).
tff(decl_534,type,
esk373_2: ( $i * $i ) > $i ).
tff(decl_535,type,
esk374_2: ( $i * $i ) > $i ).
tff(decl_536,type,
esk375_2: ( $i * $i ) > $i ).
tff(decl_537,type,
esk376_3: ( $i * $i * $i ) > $i ).
tff(decl_538,type,
esk377_2: ( $i * $i ) > $i ).
tff(decl_539,type,
esk378_2: ( $i * $i ) > $i ).
tff(decl_540,type,
esk379_2: ( $i * $i ) > $i ).
tff(decl_541,type,
esk380_2: ( $i * $i ) > $i ).
tff(decl_542,type,
esk381_2: ( $i * $i ) > $i ).
tff(decl_543,type,
esk382_3: ( $i * $i * $i ) > $i ).
tff(decl_544,type,
esk383_2: ( $i * $i ) > $i ).
tff(decl_545,type,
esk384_0: $i ).
tff(decl_546,type,
esk385_2: ( $i * $i ) > $i ).
tff(decl_547,type,
esk386_0: $i ).
tff(decl_548,type,
esk387_1: $i > $i ).
tff(decl_549,type,
esk388_2: ( $i * $i ) > $i ).
tff(decl_550,type,
esk389_1: $i > $i ).
tff(decl_551,type,
esk390_2: ( $i * $i ) > $i ).
tff(decl_552,type,
esk391_3: ( $i * $i * $i ) > $i ).
tff(decl_553,type,
esk392_2: ( $i * $i ) > $i ).
tff(decl_554,type,
esk393_1: $i > $i ).
tff(decl_555,type,
esk394_1: $i > $i ).
tff(decl_556,type,
esk395_3: ( $i * $i * $i ) > $i ).
tff(decl_557,type,
esk396_3: ( $i * $i * $i ) > $i ).
tff(decl_558,type,
esk397_2: ( $i * $i ) > $i ).
tff(decl_559,type,
esk398_3: ( $i * $i * $i ) > $i ).
tff(decl_560,type,
esk399_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_561,type,
esk400_3: ( $i * $i * $i ) > $i ).
tff(decl_562,type,
esk401_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_563,type,
esk402_1: $i > $i ).
tff(decl_564,type,
esk403_1: $i > $i ).
tff(decl_565,type,
esk404_1: $i > $i ).
tff(decl_566,type,
esk405_0: $i ).
tff(decl_567,type,
esk406_0: $i ).
tff(decl_568,type,
esk407_0: $i ).
tff(decl_569,type,
esk408_2: ( $i * $i ) > $i ).
tff(decl_570,type,
esk409_1: $i > $i ).
tff(decl_571,type,
esk410_2: ( $i * $i ) > $i ).
tff(decl_572,type,
esk411_2: ( $i * $i ) > $i ).
tff(decl_573,type,
esk412_2: ( $i * $i ) > $i ).
tff(decl_574,type,
esk413_1: $i > $i ).
tff(decl_575,type,
esk414_1: $i > $i ).
tff(decl_576,type,
esk415_2: ( $i * $i ) > $i ).
tff(decl_577,type,
esk416_3: ( $i * $i * $i ) > $i ).
tff(decl_578,type,
esk417_2: ( $i * $i ) > $i ).
tff(decl_579,type,
esk418_2: ( $i * $i ) > $i ).
tff(decl_580,type,
esk419_2: ( $i * $i ) > $i ).
tff(decl_581,type,
esk420_2: ( $i * $i ) > $i ).
tff(decl_582,type,
esk421_2: ( $i * $i ) > $i ).
tff(decl_583,type,
esk422_2: ( $i * $i ) > $i ).
tff(decl_584,type,
esk423_1: $i > $i ).
tff(decl_585,type,
esk424_1: $i > $i ).
tff(decl_586,type,
esk425_3: ( $i * $i * $i ) > $i ).
tff(decl_587,type,
esk426_2: ( $i * $i ) > $i ).
tff(decl_588,type,
esk427_1: $i > $i ).
tff(decl_589,type,
esk428_2: ( $i * $i ) > $i ).
tff(decl_590,type,
esk429_0: $i ).
tff(decl_591,type,
esk430_1: $i > $i ).
tff(decl_592,type,
esk431_0: $i ).
tff(decl_593,type,
esk432_1: $i > $i ).
tff(decl_594,type,
esk433_0: $i ).
tff(decl_595,type,
esk434_1: $i > $i ).
tff(decl_596,type,
esk435_3: ( $i * $i * $i ) > $i ).
tff(decl_597,type,
esk436_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_598,type,
esk437_3: ( $i * $i * $i ) > $i ).
tff(decl_599,type,
esk438_4: ( $i * $i * $i * $i ) > $i ).
fof(t2_lattice3,conjecture,
! [X1,X2] :
( element(X2,the_carrier(boole_lattice(X1)))
=> ! [X3] :
( element(X3,the_carrier(boole_lattice(X1)))
=> ( below(boole_lattice(X1),X2,X3)
<=> subset(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_lattice3) ).
fof(d1_lattice3,axiom,
! [X1,X2] :
( ( strict_latt_str(X2)
& latt_str(X2) )
=> ( X2 = boole_lattice(X1)
<=> ( the_carrier(X2) = powerset(X1)
& ! [X3] :
( element(X3,powerset(X1))
=> ! [X4] :
( element(X4,powerset(X1))
=> ( apply_binary(the_L_join(X2),X3,X4) = subset_union2(X1,X3,X4)
& apply_binary(the_L_meet(X2),X3,X4) = subset_intersection2(X1,X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lattice3) ).
fof(dt_k1_lattice3,axiom,
! [X1] :
( strict_latt_str(boole_lattice(X1))
& latt_str(boole_lattice(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice3) ).
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(fc1_lattice3,axiom,
! [X1] :
( ~ empty_carrier(boole_lattice(X1))
& strict_latt_str(boole_lattice(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice3) ).
fof(t1_lattice3,lemma,
! [X1,X2] :
( element(X2,the_carrier(boole_lattice(X1)))
=> ! [X3] :
( element(X3,the_carrier(boole_lattice(X1)))
=> ( join(boole_lattice(X1),X2,X3) = set_union2(X2,X3)
& meet(boole_lattice(X1),X2,X3) = set_intersection2(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_lattice3) ).
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(t12_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> set_union2(X1,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(t7_xboole_1,lemma,
! [X1,X2] : subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X2] :
( element(X2,the_carrier(boole_lattice(X1)))
=> ! [X3] :
( element(X3,the_carrier(boole_lattice(X1)))
=> ( below(boole_lattice(X1),X2,X3)
<=> subset(X2,X3) ) ) ),
inference(assume_negation,[status(cth)],[t2_lattice3]) ).
fof(c_0_10,plain,
! [X207,X208,X209,X210] :
( ( the_carrier(X208) = powerset(X207)
| X208 != boole_lattice(X207)
| ~ strict_latt_str(X208)
| ~ latt_str(X208) )
& ( apply_binary(the_L_join(X208),X209,X210) = subset_union2(X207,X209,X210)
| ~ element(X210,powerset(X207))
| ~ element(X209,powerset(X207))
| X208 != boole_lattice(X207)
| ~ strict_latt_str(X208)
| ~ latt_str(X208) )
& ( apply_binary(the_L_meet(X208),X209,X210) = subset_intersection2(X207,X209,X210)
| ~ element(X210,powerset(X207))
| ~ element(X209,powerset(X207))
| X208 != boole_lattice(X207)
| ~ strict_latt_str(X208)
| ~ latt_str(X208) )
& ( element(esk25_2(X207,X208),powerset(X207))
| the_carrier(X208) != powerset(X207)
| X208 = boole_lattice(X207)
| ~ strict_latt_str(X208)
| ~ latt_str(X208) )
& ( element(esk26_2(X207,X208),powerset(X207))
| the_carrier(X208) != powerset(X207)
| X208 = boole_lattice(X207)
| ~ strict_latt_str(X208)
| ~ latt_str(X208) )
& ( apply_binary(the_L_join(X208),esk25_2(X207,X208),esk26_2(X207,X208)) != subset_union2(X207,esk25_2(X207,X208),esk26_2(X207,X208))
| apply_binary(the_L_meet(X208),esk25_2(X207,X208),esk26_2(X207,X208)) != subset_intersection2(X207,esk25_2(X207,X208),esk26_2(X207,X208))
| the_carrier(X208) != powerset(X207)
| X208 = boole_lattice(X207)
| ~ strict_latt_str(X208)
| ~ latt_str(X208) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_lattice3])])])])]) ).
fof(c_0_11,plain,
! [X588] :
( strict_latt_str(boole_lattice(X588))
& latt_str(boole_lattice(X588)) ),
inference(variable_rename,[status(thm)],[dt_k1_lattice3]) ).
fof(c_0_12,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]) ).
fof(c_0_13,negated_conjecture,
( element(esk406_0,the_carrier(boole_lattice(esk405_0)))
& element(esk407_0,the_carrier(boole_lattice(esk405_0)))
& ( ~ below(boole_lattice(esk405_0),esk406_0,esk407_0)
| ~ subset(esk406_0,esk407_0) )
& ( below(boole_lattice(esk405_0),esk406_0,esk407_0)
| subset(esk406_0,esk407_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_14,plain,
( the_carrier(X1) = powerset(X2)
| X1 != boole_lattice(X2)
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
strict_latt_str(boole_lattice(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
latt_str(boole_lattice(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X1] :
( ~ empty_carrier(boole_lattice(X1))
& strict_latt_str(boole_lattice(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_lattice3]) ).
fof(c_0_18,plain,
! [X381,X382,X383] :
( ( ~ below(X381,X382,X383)
| join(X381,X382,X383) = X383
| ~ element(X383,the_carrier(X381))
| ~ element(X382,the_carrier(X381))
| empty_carrier(X381)
| ~ join_semilatt_str(X381) )
& ( join(X381,X382,X383) != X383
| below(X381,X382,X383)
| ~ element(X383,the_carrier(X381))
| ~ element(X382,the_carrier(X381))
| empty_carrier(X381)
| ~ join_semilatt_str(X381) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
cnf(c_0_19,negated_conjecture,
element(esk407_0,the_carrier(boole_lattice(esk405_0))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
the_carrier(boole_lattice(X1)) = powerset(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
element(esk406_0,the_carrier(boole_lattice(esk405_0))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_22,plain,
! [X699] :
( ~ empty_carrier(boole_lattice(X699))
& strict_latt_str(boole_lattice(X699)) ),
inference(variable_rename,[status(thm)],[c_0_17]) ).
fof(c_0_23,lemma,
! [X1607,X1608,X1609] :
( ( join(boole_lattice(X1607),X1608,X1609) = set_union2(X1608,X1609)
| ~ element(X1609,the_carrier(boole_lattice(X1607)))
| ~ element(X1608,the_carrier(boole_lattice(X1607))) )
& ( meet(boole_lattice(X1607),X1608,X1609) = set_intersection2(X1608,X1609)
| ~ element(X1609,the_carrier(boole_lattice(X1607)))
| ~ element(X1608,the_carrier(boole_lattice(X1607))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_lattice3])])])]) ).
cnf(c_0_24,plain,
( join(X1,X2,X3) = X3
| empty_carrier(X1)
| ~ below(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ join_semilatt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( below(boole_lattice(esk405_0),esk406_0,esk407_0)
| subset(esk406_0,esk407_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,negated_conjecture,
element(esk407_0,powerset(esk405_0)),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
element(esk406_0,powerset(esk405_0)),
inference(rw,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_28,plain,
~ empty_carrier(boole_lattice(X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X654] :
( ( meet_semilatt_str(X654)
| ~ latt_str(X654) )
& ( join_semilatt_str(X654)
| ~ latt_str(X654) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_30,lemma,
( join(boole_lattice(X1),X2,X3) = set_union2(X2,X3)
| ~ element(X3,the_carrier(boole_lattice(X1)))
| ~ element(X2,the_carrier(boole_lattice(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_31,lemma,
! [X1519,X1520] :
( ~ subset(X1519,X1520)
| set_union2(X1519,X1520) = X1520 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])]) ).
cnf(c_0_32,negated_conjecture,
( join(boole_lattice(esk405_0),esk406_0,esk407_0) = esk407_0
| subset(esk406_0,esk407_0)
| ~ join_semilatt_str(boole_lattice(esk405_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_24,c_0_25]),c_0_20]),c_0_26]),c_0_20]),c_0_27])]),c_0_28]) ).
cnf(c_0_33,plain,
( join_semilatt_str(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,lemma,
( join(boole_lattice(X1),X2,X3) = set_union2(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_20]),c_0_20]) ).
cnf(c_0_35,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( join(boole_lattice(esk405_0),esk406_0,esk407_0) = esk407_0
| subset(esk406_0,esk407_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_16])]) ).
cnf(c_0_37,negated_conjecture,
( join(boole_lattice(esk405_0),X1,esk407_0) = set_union2(X1,esk407_0)
| ~ element(X1,powerset(esk405_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_26]) ).
fof(c_0_38,lemma,
! [X1929,X1930] : subset(X1929,set_union2(X1929,X1930)),
inference(variable_rename,[status(thm)],[t7_xboole_1]) ).
cnf(c_0_39,lemma,
( join(boole_lattice(esk405_0),esk406_0,esk407_0) = esk407_0
| set_union2(esk406_0,esk407_0) = esk407_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
join(boole_lattice(esk405_0),esk406_0,esk407_0) = set_union2(esk406_0,esk407_0),
inference(spm,[status(thm)],[c_0_37,c_0_27]) ).
cnf(c_0_41,lemma,
subset(X1,set_union2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,lemma,
set_union2(esk406_0,esk407_0) = esk407_0,
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( ~ below(boole_lattice(esk405_0),esk406_0,esk407_0)
| ~ subset(esk406_0,esk407_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_44,lemma,
subset(esk406_0,esk407_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,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_18]) ).
cnf(c_0_46,negated_conjecture,
join(boole_lattice(esk405_0),esk406_0,esk407_0) = esk407_0,
inference(rw,[status(thm)],[c_0_40,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
~ below(boole_lattice(esk405_0),esk406_0,esk407_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).
cnf(c_0_48,negated_conjecture,
~ join_semilatt_str(boole_lattice(esk405_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_45,c_0_46]),c_0_20]),c_0_26]),c_0_20]),c_0_27])]),c_0_47]),c_0_28]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU344+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 14:17:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 19.14/19.21 % Version : CSE_E---1.5
% 19.14/19.21 % Problem : theBenchmark.p
% 19.14/19.21 % Proof found
% 19.14/19.21 % SZS status Theorem for theBenchmark.p
% 19.14/19.21 % SZS output start Proof
% See solution above
% 19.14/19.23 % Total time : 18.611000 s
% 19.14/19.23 % SZS output end Proof
% 19.14/19.23 % Total time : 18.633000 s
%------------------------------------------------------------------------------