TSTP Solution File: SEU350+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU350+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 : 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 16:24:40 EDT 2023
% Result : Theorem 1.99s 2.04s
% Output : CNFRefutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 612
% Syntax : Number of formulae : 642 ( 10 unt; 607 typ; 0 def)
% Number of atoms : 136 ( 10 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 156 ( 55 ~; 51 |; 28 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1206 ( 562 >; 644 *; 0 +; 0 <<)
% Number of predicates : 92 ( 90 usr; 2 prp; 0-3 aty)
% Number of functors : 517 ( 517 usr; 44 con; 0-7 aty)
% Number of variables : 46 ( 0 sgn; 33 !; 0 ?; 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,
in: ( $i * $i ) > $o ).
tff(decl_33,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_34,type,
v1_membered: $i > $o ).
tff(decl_35,type,
element: ( $i * $i ) > $o ).
tff(decl_36,type,
v1_xcmplx_0: $i > $o ).
tff(decl_37,type,
v2_membered: $i > $o ).
tff(decl_38,type,
v1_xreal_0: $i > $o ).
tff(decl_39,type,
v3_membered: $i > $o ).
tff(decl_40,type,
v1_rat_1: $i > $o ).
tff(decl_41,type,
v4_membered: $i > $o ).
tff(decl_42,type,
v1_int_1: $i > $o ).
tff(decl_43,type,
v5_membered: $i > $o ).
tff(decl_44,type,
natural: $i > $o ).
tff(decl_45,type,
empty: $i > $o ).
tff(decl_46,type,
powerset: $i > $i ).
tff(decl_47,type,
ordinal: $i > $o ).
tff(decl_48,type,
epsilon_transitive: $i > $o ).
tff(decl_49,type,
epsilon_connected: $i > $o ).
tff(decl_50,type,
finite: $i > $o ).
tff(decl_51,type,
preboolean: $i > $o ).
tff(decl_52,type,
cup_closed: $i > $o ).
tff(decl_53,type,
diff_closed: $i > $o ).
tff(decl_54,type,
function: $i > $o ).
tff(decl_55,type,
empty_carrier: $i > $o ).
tff(decl_56,type,
lattice: $i > $o ).
tff(decl_57,type,
join_commutative: $i > $o ).
tff(decl_58,type,
join_associative: $i > $o ).
tff(decl_59,type,
meet_commutative: $i > $o ).
tff(decl_60,type,
meet_associative: $i > $o ).
tff(decl_61,type,
meet_absorbing: $i > $o ).
tff(decl_62,type,
join_absorbing: $i > $o ).
tff(decl_63,type,
relation: $i > $o ).
tff(decl_64,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_65,type,
one_to_one: $i > $o ).
tff(decl_66,type,
omega: $i ).
tff(decl_67,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_68,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_69,type,
join_semilatt_str: $i > $o ).
tff(decl_70,type,
join_commut: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_72,type,
meet_semilatt_str: $i > $o ).
tff(decl_73,type,
meet_commut: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
subset_union2: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
subset_intersection2: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_77,type,
identity_relation: $i > $i ).
tff(decl_78,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_79,type,
subset: ( $i * $i ) > $o ).
tff(decl_80,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_81,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_82,type,
relation_dom: $i > $i ).
tff(decl_83,type,
apply: ( $i * $i ) > $i ).
tff(decl_84,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_85,type,
antisymmetric: $i > $o ).
tff(decl_86,type,
relation_field: $i > $i ).
tff(decl_87,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_88,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_89,type,
lower_bounded_semilattstr: $i > $o ).
tff(decl_90,type,
meet: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
top_str: $i > $o ).
tff(decl_92,type,
topstr_closure: ( $i * $i ) > $i ).
tff(decl_93,type,
open_subset: ( $i * $i ) > $o ).
tff(decl_94,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_95,type,
connected: $i > $o ).
tff(decl_96,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_97,type,
latt_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_98,type,
below: ( $i * $i * $i ) > $o ).
tff(decl_99,type,
bottom_of_semilattstr: $i > $i ).
tff(decl_100,type,
transitive: $i > $o ).
tff(decl_101,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_102,type,
latt_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_103,type,
apply_binary: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
topological_space: $i > $o ).
tff(decl_105,type,
point_neighbourhood: ( $i * $i * $i ) > $o ).
tff(decl_106,type,
interior: ( $i * $i ) > $i ).
tff(decl_107,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
relation_rng: $i > $i ).
tff(decl_109,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_110,type,
empty_set: $i ).
tff(decl_111,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_112,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
boole_lattice: $i > $i ).
tff(decl_114,type,
join: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
pair_first: $i > $i ).
tff(decl_117,type,
succ: $i > $i ).
tff(decl_118,type,
singleton: $i > $i ).
tff(decl_119,type,
the_topology: $i > $i ).
tff(decl_120,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_121,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_122,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_123,type,
set_meet: $i > $i ).
tff(decl_124,type,
one_sorted_str: $i > $o ).
tff(decl_125,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_126,type,
open_subsets: ( $i * $i ) > $o ).
tff(decl_127,type,
fiber: ( $i * $i ) > $i ).
tff(decl_128,type,
inclusion_relation: $i > $i ).
tff(decl_129,type,
centered: $i > $o ).
tff(decl_130,type,
poset_of_lattice: $i > $i ).
tff(decl_131,type,
k2_lattice3: $i > $i ).
tff(decl_132,type,
pair_second: $i > $i ).
tff(decl_133,type,
empty_carrier_subset: $i > $i ).
tff(decl_134,type,
closed_subsets: ( $i * $i ) > $o ).
tff(decl_135,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_136,type,
well_founded_relation: $i > $o ).
tff(decl_137,type,
compact_top_space: $i > $o ).
tff(decl_138,type,
is_a_cover_of_carrier: ( $i * $i ) > $o ).
tff(decl_139,type,
cast_to_el_of_LattPOSet: ( $i * $i ) > $i ).
tff(decl_140,type,
cast_as_carrier_subset: $i > $i ).
tff(decl_141,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_142,type,
cast_to_el_of_lattice: ( $i * $i ) > $i ).
tff(decl_143,type,
cast_to_subset: $i > $i ).
tff(decl_144,type,
union: $i > $i ).
tff(decl_145,type,
well_ordering: $i > $o ).
tff(decl_146,type,
reflexive: $i > $o ).
tff(decl_147,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_148,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_149,type,
transitive_relstr: $i > $o ).
tff(decl_150,type,
being_limit_ordinal: $i > $o ).
tff(decl_151,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_152,type,
antisymmetric_relstr: $i > $o ).
tff(decl_153,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_154,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_155,type,
relation_inverse: $i > $i ).
tff(decl_156,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_157,type,
relation_of_lattice: $i > $i ).
tff(decl_158,type,
a_1_0_filter_1: $i > $i ).
tff(decl_159,type,
relstr_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_160,type,
related: ( $i * $i * $i ) > $o ).
tff(decl_161,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_162,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_163,type,
function_inverse: $i > $i ).
tff(decl_164,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_165,type,
k10_filter_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_166,type,
k8_filter_1: ( $i * $i ) > $i ).
tff(decl_167,type,
ordered_pair_as_product_element: ( $i * $i * $i * $i ) > $i ).
tff(decl_168,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_169,type,
reflexive_relstr: $i > $o ).
tff(decl_170,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_172,type,
relation_empty_yielding: $i > $o ).
tff(decl_173,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_174,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_175,type,
below_refl: ( $i * $i * $i ) > $o ).
tff(decl_176,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_177,type,
related_reflexive: ( $i * $i * $i ) > $o ).
tff(decl_178,type,
epred1_0: $o ).
tff(decl_179,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_180,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_181,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_184,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_185,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_186,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_187,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_188,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_190,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_191,type,
esk11_1: $i > $i ).
tff(decl_192,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_193,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_194,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_195,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_196,type,
esk16_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_197,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_198,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_199,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_200,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_201,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_202,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_203,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_204,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_205,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_206,type,
esk26_1: $i > $i ).
tff(decl_207,type,
esk27_1: $i > $i ).
tff(decl_208,type,
esk28_1: $i > $i ).
tff(decl_209,type,
esk29_1: $i > $i ).
tff(decl_210,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_211,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_212,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_213,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_214,type,
esk34_1: $i > $i ).
tff(decl_215,type,
esk35_1: $i > $i ).
tff(decl_216,type,
esk36_1: $i > $i ).
tff(decl_217,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_218,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_219,type,
esk39_1: $i > $i ).
tff(decl_220,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_221,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_222,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_223,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_224,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_225,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_226,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_227,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_228,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_229,type,
esk49_1: $i > $i ).
tff(decl_230,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_231,type,
esk51_1: $i > $i ).
tff(decl_232,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_233,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_234,type,
esk54_1: $i > $i ).
tff(decl_235,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_236,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_237,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_238,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_239,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_240,type,
esk60_1: $i > $i ).
tff(decl_241,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_242,type,
esk62_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_243,type,
esk63_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_244,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_245,type,
esk65_3: ( $i * $i * $i ) > $i ).
tff(decl_246,type,
esk66_3: ( $i * $i * $i ) > $i ).
tff(decl_247,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_248,type,
esk68_1: $i > $i ).
tff(decl_249,type,
esk69_1: $i > $i ).
tff(decl_250,type,
esk70_1: $i > $i ).
tff(decl_251,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_252,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_253,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_254,type,
esk74_3: ( $i * $i * $i ) > $i ).
tff(decl_255,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_256,type,
esk76_3: ( $i * $i * $i ) > $i ).
tff(decl_257,type,
esk77_3: ( $i * $i * $i ) > $i ).
tff(decl_258,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_259,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_260,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_261,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_262,type,
esk82_3: ( $i * $i * $i ) > $i ).
tff(decl_263,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_264,type,
esk84_2: ( $i * $i ) > $i ).
tff(decl_265,type,
esk85_2: ( $i * $i ) > $i ).
tff(decl_266,type,
esk86_3: ( $i * $i * $i ) > $i ).
tff(decl_267,type,
esk87_3: ( $i * $i * $i ) > $i ).
tff(decl_268,type,
esk88_2: ( $i * $i ) > $i ).
tff(decl_269,type,
esk89_2: ( $i * $i ) > $i ).
tff(decl_270,type,
esk90_1: $i > $i ).
tff(decl_271,type,
esk91_3: ( $i * $i * $i ) > $i ).
tff(decl_272,type,
esk92_2: ( $i * $i ) > $i ).
tff(decl_273,type,
esk93_2: ( $i * $i ) > $i ).
tff(decl_274,type,
esk94_2: ( $i * $i ) > $i ).
tff(decl_275,type,
esk95_2: ( $i * $i ) > $i ).
tff(decl_276,type,
esk96_2: ( $i * $i ) > $i ).
tff(decl_277,type,
esk97_2: ( $i * $i ) > $i ).
tff(decl_278,type,
esk98_3: ( $i * $i * $i ) > $i ).
tff(decl_279,type,
esk99_3: ( $i * $i * $i ) > $i ).
tff(decl_280,type,
esk100_1: $i > $i ).
tff(decl_281,type,
esk101_1: $i > $i ).
tff(decl_282,type,
esk102_3: ( $i * $i * $i ) > $i ).
tff(decl_283,type,
esk103_1: $i > $i ).
tff(decl_284,type,
esk104_1: $i > $i ).
tff(decl_285,type,
esk105_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_286,type,
esk106_3: ( $i * $i * $i ) > $i ).
tff(decl_287,type,
esk107_3: ( $i * $i * $i ) > $i ).
tff(decl_288,type,
esk108_3: ( $i * $i * $i ) > $i ).
tff(decl_289,type,
esk109_2: ( $i * $i ) > $i ).
tff(decl_290,type,
esk110_2: ( $i * $i ) > $i ).
tff(decl_291,type,
esk111_2: ( $i * $i ) > $i ).
tff(decl_292,type,
esk112_3: ( $i * $i * $i ) > $i ).
tff(decl_293,type,
esk113_3: ( $i * $i * $i ) > $i ).
tff(decl_294,type,
esk114_0: $i ).
tff(decl_295,type,
esk115_0: $i ).
tff(decl_296,type,
esk116_0: $i ).
tff(decl_297,type,
esk117_0: $i ).
tff(decl_298,type,
esk118_0: $i ).
tff(decl_299,type,
esk119_0: $i ).
tff(decl_300,type,
esk120_2: ( $i * $i ) > $i ).
tff(decl_301,type,
esk121_2: ( $i * $i ) > $i ).
tff(decl_302,type,
esk122_1: $i > $i ).
tff(decl_303,type,
esk123_2: ( $i * $i ) > $i ).
tff(decl_304,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_305,type,
esk125_2: ( $i * $i ) > $i ).
tff(decl_306,type,
esk126_1: $i > $i ).
tff(decl_307,type,
esk127_1: $i > $i ).
tff(decl_308,type,
esk128_1: $i > $i ).
tff(decl_309,type,
esk129_1: $i > $i ).
tff(decl_310,type,
esk130_2: ( $i * $i ) > $i ).
tff(decl_311,type,
esk131_1: $i > $i ).
tff(decl_312,type,
esk132_1: $i > $i ).
tff(decl_313,type,
esk133_1: $i > $i ).
tff(decl_314,type,
esk134_1: $i > $i ).
tff(decl_315,type,
esk135_2: ( $i * $i ) > $i ).
tff(decl_316,type,
esk136_0: $i ).
tff(decl_317,type,
esk137_0: $i ).
tff(decl_318,type,
esk138_0: $i ).
tff(decl_319,type,
esk139_2: ( $i * $i ) > $i ).
tff(decl_320,type,
esk140_0: $i ).
tff(decl_321,type,
esk141_0: $i ).
tff(decl_322,type,
esk142_0: $i ).
tff(decl_323,type,
esk143_0: $i ).
tff(decl_324,type,
esk144_0: $i ).
tff(decl_325,type,
esk145_0: $i ).
tff(decl_326,type,
esk146_1: $i > $i ).
tff(decl_327,type,
esk147_1: $i > $i ).
tff(decl_328,type,
esk148_0: $i ).
tff(decl_329,type,
esk149_1: $i > $i ).
tff(decl_330,type,
esk150_0: $i ).
tff(decl_331,type,
esk151_0: $i ).
tff(decl_332,type,
esk152_0: $i ).
tff(decl_333,type,
esk153_2: ( $i * $i ) > $i ).
tff(decl_334,type,
esk154_0: $i ).
tff(decl_335,type,
esk155_1: $i > $i ).
tff(decl_336,type,
esk156_1: $i > $i ).
tff(decl_337,type,
esk157_0: $i ).
tff(decl_338,type,
esk158_1: $i > $i ).
tff(decl_339,type,
esk159_0: $i ).
tff(decl_340,type,
esk160_0: $i ).
tff(decl_341,type,
esk161_0: $i ).
tff(decl_342,type,
esk162_0: $i ).
tff(decl_343,type,
esk163_0: $i ).
tff(decl_344,type,
esk164_1: $i > $i ).
tff(decl_345,type,
esk165_0: $i ).
tff(decl_346,type,
esk166_1: $i > $i ).
tff(decl_347,type,
esk167_0: $i ).
tff(decl_348,type,
esk168_1: $i > $i ).
tff(decl_349,type,
esk169_1: $i > $i ).
tff(decl_350,type,
esk170_0: $i ).
tff(decl_351,type,
esk171_2: ( $i * $i ) > $i ).
tff(decl_352,type,
esk172_2: ( $i * $i ) > $i ).
tff(decl_353,type,
esk173_2: ( $i * $i ) > $i ).
tff(decl_354,type,
esk174_2: ( $i * $i ) > $i ).
tff(decl_355,type,
esk175_2: ( $i * $i ) > $i ).
tff(decl_356,type,
esk176_2: ( $i * $i ) > $i ).
tff(decl_357,type,
esk177_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_358,type,
esk178_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_359,type,
esk179_1: $i > $i ).
tff(decl_360,type,
esk180_1: $i > $i ).
tff(decl_361,type,
esk181_1: $i > $i ).
tff(decl_362,type,
esk182_1: $i > $i ).
tff(decl_363,type,
esk183_2: ( $i * $i ) > $i ).
tff(decl_364,type,
esk184_2: ( $i * $i ) > $i ).
tff(decl_365,type,
esk185_2: ( $i * $i ) > $i ).
tff(decl_366,type,
esk186_2: ( $i * $i ) > $i ).
tff(decl_367,type,
esk187_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_368,type,
esk188_2: ( $i * $i ) > $i ).
tff(decl_369,type,
esk189_2: ( $i * $i ) > $i ).
tff(decl_370,type,
esk190_2: ( $i * $i ) > $i ).
tff(decl_371,type,
esk191_2: ( $i * $i ) > $i ).
tff(decl_372,type,
esk192_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_373,type,
esk193_1: $i > $i ).
tff(decl_374,type,
esk194_0: $i ).
tff(decl_375,type,
esk195_2: ( $i * $i ) > $i ).
tff(decl_376,type,
esk196_0: $i ).
tff(decl_377,type,
esk197_1: $i > $i ).
tff(decl_378,type,
esk198_2: ( $i * $i ) > $i ).
tff(decl_379,type,
esk199_3: ( $i * $i * $i ) > $i ).
tff(decl_380,type,
esk200_2: ( $i * $i ) > $i ).
tff(decl_381,type,
esk201_2: ( $i * $i ) > $i ).
tff(decl_382,type,
esk202_2: ( $i * $i ) > $i ).
tff(decl_383,type,
esk203_2: ( $i * $i ) > $i ).
tff(decl_384,type,
esk204_2: ( $i * $i ) > $i ).
tff(decl_385,type,
esk205_2: ( $i * $i ) > $i ).
tff(decl_386,type,
esk206_3: ( $i * $i * $i ) > $i ).
tff(decl_387,type,
esk207_3: ( $i * $i * $i ) > $i ).
tff(decl_388,type,
esk208_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_389,type,
esk209_2: ( $i * $i ) > $i ).
tff(decl_390,type,
esk210_2: ( $i * $i ) > $i ).
tff(decl_391,type,
esk211_2: ( $i * $i ) > $i ).
tff(decl_392,type,
esk212_2: ( $i * $i ) > $i ).
tff(decl_393,type,
esk213_2: ( $i * $i ) > $i ).
tff(decl_394,type,
esk214_2: ( $i * $i ) > $i ).
tff(decl_395,type,
esk215_2: ( $i * $i ) > $i ).
tff(decl_396,type,
esk216_2: ( $i * $i ) > $i ).
tff(decl_397,type,
esk217_2: ( $i * $i ) > $i ).
tff(decl_398,type,
esk218_3: ( $i * $i * $i ) > $i ).
tff(decl_399,type,
esk219_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_400,type,
esk220_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_401,type,
esk221_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_402,type,
esk222_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_403,type,
esk223_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_404,type,
esk224_1: $i > $i ).
tff(decl_405,type,
esk225_1: $i > $i ).
tff(decl_406,type,
esk226_1: $i > $i ).
tff(decl_407,type,
esk227_1: $i > $i ).
tff(decl_408,type,
esk228_2: ( $i * $i ) > $i ).
tff(decl_409,type,
esk229_1: $i > $i ).
tff(decl_410,type,
esk230_1: $i > $i ).
tff(decl_411,type,
esk231_1: $i > $i ).
tff(decl_412,type,
esk232_1: $i > $i ).
tff(decl_413,type,
esk233_1: $i > $i ).
tff(decl_414,type,
esk234_1: $i > $i ).
tff(decl_415,type,
esk235_1: $i > $i ).
tff(decl_416,type,
esk236_2: ( $i * $i ) > $i ).
tff(decl_417,type,
esk237_3: ( $i * $i * $i ) > $i ).
tff(decl_418,type,
esk238_3: ( $i * $i * $i ) > $i ).
tff(decl_419,type,
esk239_3: ( $i * $i * $i ) > $i ).
tff(decl_420,type,
esk240_1: $i > $i ).
tff(decl_421,type,
esk241_1: $i > $i ).
tff(decl_422,type,
esk242_1: $i > $i ).
tff(decl_423,type,
esk243_1: $i > $i ).
tff(decl_424,type,
esk244_2: ( $i * $i ) > $i ).
tff(decl_425,type,
esk245_2: ( $i * $i ) > $i ).
tff(decl_426,type,
esk246_3: ( $i * $i * $i ) > $i ).
tff(decl_427,type,
esk247_3: ( $i * $i * $i ) > $i ).
tff(decl_428,type,
esk248_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_429,type,
esk249_2: ( $i * $i ) > $i ).
tff(decl_430,type,
esk250_2: ( $i * $i ) > $i ).
tff(decl_431,type,
esk251_2: ( $i * $i ) > $i ).
tff(decl_432,type,
esk252_2: ( $i * $i ) > $i ).
tff(decl_433,type,
esk253_2: ( $i * $i ) > $i ).
tff(decl_434,type,
esk254_2: ( $i * $i ) > $i ).
tff(decl_435,type,
esk255_3: ( $i * $i * $i ) > $i ).
tff(decl_436,type,
esk256_3: ( $i * $i * $i ) > $i ).
tff(decl_437,type,
esk257_2: ( $i * $i ) > $i ).
tff(decl_438,type,
esk258_2: ( $i * $i ) > $i ).
tff(decl_439,type,
esk259_2: ( $i * $i ) > $i ).
tff(decl_440,type,
esk260_2: ( $i * $i ) > $i ).
tff(decl_441,type,
esk261_3: ( $i * $i * $i ) > $i ).
tff(decl_442,type,
esk262_2: ( $i * $i ) > $i ).
tff(decl_443,type,
esk263_2: ( $i * $i ) > $i ).
tff(decl_444,type,
esk264_2: ( $i * $i ) > $i ).
tff(decl_445,type,
esk265_2: ( $i * $i ) > $i ).
tff(decl_446,type,
esk266_2: ( $i * $i ) > $i ).
tff(decl_447,type,
esk267_2: ( $i * $i ) > $i ).
tff(decl_448,type,
esk268_3: ( $i * $i * $i ) > $i ).
tff(decl_449,type,
esk269_3: ( $i * $i * $i ) > $i ).
tff(decl_450,type,
esk270_2: ( $i * $i ) > $i ).
tff(decl_451,type,
esk271_2: ( $i * $i ) > $i ).
tff(decl_452,type,
esk272_2: ( $i * $i ) > $i ).
tff(decl_453,type,
esk273_2: ( $i * $i ) > $i ).
tff(decl_454,type,
esk274_3: ( $i * $i * $i ) > $i ).
tff(decl_455,type,
esk275_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_456,type,
esk276_2: ( $i * $i ) > $i ).
tff(decl_457,type,
esk277_2: ( $i * $i ) > $i ).
tff(decl_458,type,
esk278_2: ( $i * $i ) > $i ).
tff(decl_459,type,
esk279_2: ( $i * $i ) > $i ).
tff(decl_460,type,
esk280_2: ( $i * $i ) > $i ).
tff(decl_461,type,
esk281_2: ( $i * $i ) > $i ).
tff(decl_462,type,
esk282_2: ( $i * $i ) > $i ).
tff(decl_463,type,
esk283_3: ( $i * $i * $i ) > $i ).
tff(decl_464,type,
esk284_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_465,type,
esk285_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_466,type,
esk286_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_467,type,
esk287_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_468,type,
esk288_2: ( $i * $i ) > $i ).
tff(decl_469,type,
esk289_2: ( $i * $i ) > $i ).
tff(decl_470,type,
esk290_2: ( $i * $i ) > $i ).
tff(decl_471,type,
esk291_2: ( $i * $i ) > $i ).
tff(decl_472,type,
esk292_3: ( $i * $i * $i ) > $i ).
tff(decl_473,type,
esk293_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_474,type,
esk294_2: ( $i * $i ) > $i ).
tff(decl_475,type,
esk295_2: ( $i * $i ) > $i ).
tff(decl_476,type,
esk296_2: ( $i * $i ) > $i ).
tff(decl_477,type,
esk297_2: ( $i * $i ) > $i ).
tff(decl_478,type,
esk298_2: ( $i * $i ) > $i ).
tff(decl_479,type,
esk299_2: ( $i * $i ) > $i ).
tff(decl_480,type,
esk300_2: ( $i * $i ) > $i ).
tff(decl_481,type,
esk301_3: ( $i * $i * $i ) > $i ).
tff(decl_482,type,
esk302_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_483,type,
esk303_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_484,type,
esk304_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_485,type,
esk305_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_486,type,
esk306_3: ( $i * $i * $i ) > $i ).
tff(decl_487,type,
esk307_3: ( $i * $i * $i ) > $i ).
tff(decl_488,type,
esk308_3: ( $i * $i * $i ) > $i ).
tff(decl_489,type,
esk309_3: ( $i * $i * $i ) > $i ).
tff(decl_490,type,
esk310_3: ( $i * $i * $i ) > $i ).
tff(decl_491,type,
esk311_3: ( $i * $i * $i ) > $i ).
tff(decl_492,type,
esk312_3: ( $i * $i * $i ) > $i ).
tff(decl_493,type,
esk313_3: ( $i * $i * $i ) > $i ).
tff(decl_494,type,
esk314_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_495,type,
esk315_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_496,type,
esk316_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_497,type,
esk317_0: $i ).
tff(decl_498,type,
esk318_0: $i ).
tff(decl_499,type,
esk319_0: $i ).
tff(decl_500,type,
esk320_1: $i > $i ).
tff(decl_501,type,
esk321_2: ( $i * $i ) > $i ).
tff(decl_502,type,
esk322_3: ( $i * $i * $i ) > $i ).
tff(decl_503,type,
esk323_3: ( $i * $i * $i ) > $i ).
tff(decl_504,type,
esk324_3: ( $i * $i * $i ) > $i ).
tff(decl_505,type,
esk325_3: ( $i * $i * $i ) > $i ).
tff(decl_506,type,
esk326_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_507,type,
esk327_2: ( $i * $i ) > $i ).
tff(decl_508,type,
esk328_2: ( $i * $i ) > $i ).
tff(decl_509,type,
esk329_2: ( $i * $i ) > $i ).
tff(decl_510,type,
esk330_2: ( $i * $i ) > $i ).
tff(decl_511,type,
esk331_2: ( $i * $i ) > $i ).
tff(decl_512,type,
esk332_2: ( $i * $i ) > $i ).
tff(decl_513,type,
esk333_3: ( $i * $i * $i ) > $i ).
tff(decl_514,type,
esk334_3: ( $i * $i * $i ) > $i ).
tff(decl_515,type,
esk335_3: ( $i * $i * $i ) > $i ).
tff(decl_516,type,
esk336_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_517,type,
esk337_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_518,type,
esk338_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_519,type,
esk339_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_520,type,
esk340_2: ( $i * $i ) > $i ).
tff(decl_521,type,
esk341_3: ( $i * $i * $i ) > $i ).
tff(decl_522,type,
esk342_3: ( $i * $i * $i ) > $i ).
tff(decl_523,type,
esk343_1: $i > $i ).
tff(decl_524,type,
esk344_2: ( $i * $i ) > $i ).
tff(decl_525,type,
esk345_3: ( $i * $i * $i ) > $i ).
tff(decl_526,type,
esk346_3: ( $i * $i * $i ) > $i ).
tff(decl_527,type,
esk347_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_528,type,
esk348_2: ( $i * $i ) > $i ).
tff(decl_529,type,
esk349_3: ( $i * $i * $i ) > $i ).
tff(decl_530,type,
esk350_2: ( $i * $i ) > $i ).
tff(decl_531,type,
esk351_2: ( $i * $i ) > $i ).
tff(decl_532,type,
esk352_3: ( $i * $i * $i ) > $i ).
tff(decl_533,type,
esk353_3: ( $i * $i * $i ) > $i ).
tff(decl_534,type,
esk354_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_535,type,
esk355_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_536,type,
esk356_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_537,type,
esk357_3: ( $i * $i * $i ) > $i ).
tff(decl_538,type,
esk358_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_539,type,
esk359_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_540,type,
esk360_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_541,type,
esk361_3: ( $i * $i * $i ) > $i ).
tff(decl_542,type,
esk362_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_543,type,
esk363_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_544,type,
esk364_1: $i > $i ).
tff(decl_545,type,
esk365_3: ( $i * $i * $i ) > $i ).
tff(decl_546,type,
esk366_2: ( $i * $i ) > $i ).
tff(decl_547,type,
esk367_3: ( $i * $i * $i ) > $i ).
tff(decl_548,type,
esk368_2: ( $i * $i ) > $i ).
tff(decl_549,type,
esk369_2: ( $i * $i ) > $i ).
tff(decl_550,type,
esk370_2: ( $i * $i ) > $i ).
tff(decl_551,type,
esk371_2: ( $i * $i ) > $i ).
tff(decl_552,type,
esk372_2: ( $i * $i ) > $i ).
tff(decl_553,type,
esk373_2: ( $i * $i ) > $i ).
tff(decl_554,type,
esk374_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_555,type,
esk375_2: ( $i * $i ) > $i ).
tff(decl_556,type,
esk376_3: ( $i * $i * $i ) > $i ).
tff(decl_557,type,
esk377_1: $i > $i ).
tff(decl_558,type,
esk378_1: $i > $i ).
tff(decl_559,type,
esk379_1: $i > $i ).
tff(decl_560,type,
esk380_1: $i > $i ).
tff(decl_561,type,
esk381_1: $i > $i ).
tff(decl_562,type,
esk382_2: ( $i * $i ) > $i ).
tff(decl_563,type,
esk383_2: ( $i * $i ) > $i ).
tff(decl_564,type,
esk384_2: ( $i * $i ) > $i ).
tff(decl_565,type,
esk385_2: ( $i * $i ) > $i ).
tff(decl_566,type,
esk386_3: ( $i * $i * $i ) > $i ).
tff(decl_567,type,
esk387_2: ( $i * $i ) > $i ).
tff(decl_568,type,
esk388_2: ( $i * $i ) > $i ).
tff(decl_569,type,
esk389_2: ( $i * $i ) > $i ).
tff(decl_570,type,
esk390_2: ( $i * $i ) > $i ).
tff(decl_571,type,
esk391_2: ( $i * $i ) > $i ).
tff(decl_572,type,
esk392_3: ( $i * $i * $i ) > $i ).
tff(decl_573,type,
esk393_2: ( $i * $i ) > $i ).
tff(decl_574,type,
esk394_0: $i ).
tff(decl_575,type,
esk395_2: ( $i * $i ) > $i ).
tff(decl_576,type,
esk396_0: $i ).
tff(decl_577,type,
esk397_1: $i > $i ).
tff(decl_578,type,
esk398_2: ( $i * $i ) > $i ).
tff(decl_579,type,
esk399_1: $i > $i ).
tff(decl_580,type,
esk400_2: ( $i * $i ) > $i ).
tff(decl_581,type,
esk401_3: ( $i * $i * $i ) > $i ).
tff(decl_582,type,
esk402_2: ( $i * $i ) > $i ).
tff(decl_583,type,
esk403_1: $i > $i ).
tff(decl_584,type,
esk404_1: $i > $i ).
tff(decl_585,type,
esk405_3: ( $i * $i * $i ) > $i ).
tff(decl_586,type,
esk406_3: ( $i * $i * $i ) > $i ).
tff(decl_587,type,
esk407_2: ( $i * $i ) > $i ).
tff(decl_588,type,
esk408_3: ( $i * $i * $i ) > $i ).
tff(decl_589,type,
esk409_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_590,type,
esk410_3: ( $i * $i * $i ) > $i ).
tff(decl_591,type,
esk411_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_592,type,
esk412_1: $i > $i ).
tff(decl_593,type,
esk413_1: $i > $i ).
tff(decl_594,type,
esk414_1: $i > $i ).
tff(decl_595,type,
esk415_2: ( $i * $i ) > $i ).
tff(decl_596,type,
esk416_0: $i ).
tff(decl_597,type,
esk417_0: $i ).
tff(decl_598,type,
esk418_0: $i ).
tff(decl_599,type,
esk419_1: $i > $i ).
tff(decl_600,type,
esk420_2: ( $i * $i ) > $i ).
tff(decl_601,type,
esk421_2: ( $i * $i ) > $i ).
tff(decl_602,type,
esk422_2: ( $i * $i ) > $i ).
tff(decl_603,type,
esk423_1: $i > $i ).
tff(decl_604,type,
esk424_1: $i > $i ).
tff(decl_605,type,
esk425_2: ( $i * $i ) > $i ).
tff(decl_606,type,
esk426_3: ( $i * $i * $i ) > $i ).
tff(decl_607,type,
esk427_2: ( $i * $i ) > $i ).
tff(decl_608,type,
esk428_2: ( $i * $i ) > $i ).
tff(decl_609,type,
esk429_2: ( $i * $i ) > $i ).
tff(decl_610,type,
esk430_2: ( $i * $i ) > $i ).
tff(decl_611,type,
esk431_2: ( $i * $i ) > $i ).
tff(decl_612,type,
esk432_2: ( $i * $i ) > $i ).
tff(decl_613,type,
esk433_1: $i > $i ).
tff(decl_614,type,
esk434_1: $i > $i ).
tff(decl_615,type,
esk435_3: ( $i * $i * $i ) > $i ).
tff(decl_616,type,
esk436_2: ( $i * $i ) > $i ).
tff(decl_617,type,
esk437_1: $i > $i ).
tff(decl_618,type,
esk438_2: ( $i * $i ) > $i ).
tff(decl_619,type,
esk439_0: $i ).
tff(decl_620,type,
esk440_1: $i > $i ).
tff(decl_621,type,
esk441_0: $i ).
tff(decl_622,type,
esk442_1: $i > $i ).
tff(decl_623,type,
esk443_0: $i ).
tff(decl_624,type,
esk444_1: $i > $i ).
tff(decl_625,type,
esk445_3: ( $i * $i * $i ) > $i ).
tff(decl_626,type,
esk446_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_627,type,
esk447_3: ( $i * $i * $i ) > $i ).
tff(decl_628,type,
esk448_4: ( $i * $i * $i * $i ) > $i ).
fof(d4_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> cast_to_el_of_lattice(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lattice3) ).
fof(t31_lattice3,conjecture,
! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(poset_of_lattice(X2)))
=> ( relstr_set_smaller(poset_of_lattice(X2),X1,X3)
<=> latt_element_smaller(X2,cast_to_el_of_lattice(X2,X3),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_lattice3) ).
fof(dt_k5_lattice3,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1)
& element(X2,the_carrier(poset_of_lattice(X1))) )
=> element(cast_to_el_of_lattice(X1,X2),the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattice3) ).
fof(d3_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> cast_to_el_of_LattPOSet(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattice3) ).
fof(t30_lattice3,lemma,
! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ( latt_element_smaller(X2,X3,X1)
<=> relstr_set_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lattice3) ).
fof(c_0_5,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> cast_to_el_of_lattice(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_lattice3]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(poset_of_lattice(X2)))
=> ( relstr_set_smaller(poset_of_lattice(X2),X1,X3)
<=> latt_element_smaller(X2,cast_to_el_of_lattice(X2,X3),X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t31_lattice3])]) ).
fof(c_0_7,plain,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1)
& element(X2,the_carrier(poset_of_lattice(X1))) )
=> element(cast_to_el_of_lattice(X1,X2),the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k5_lattice3]) ).
fof(c_0_8,plain,
! [X447,X448] :
( empty_carrier(X447)
| ~ lattice(X447)
| ~ latt_str(X447)
| ~ element(X448,the_carrier(poset_of_lattice(X447)))
| cast_to_el_of_lattice(X447,X448) = X448 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,negated_conjecture,
( ~ empty_carrier(esk417_0)
& lattice(esk417_0)
& latt_str(esk417_0)
& element(esk418_0,the_carrier(poset_of_lattice(esk417_0)))
& ( ~ relstr_set_smaller(poset_of_lattice(esk417_0),esk416_0,esk418_0)
| ~ latt_element_smaller(esk417_0,cast_to_el_of_lattice(esk417_0,esk418_0),esk416_0) )
& ( relstr_set_smaller(poset_of_lattice(esk417_0),esk416_0,esk418_0)
| latt_element_smaller(esk417_0,cast_to_el_of_lattice(esk417_0,esk418_0),esk416_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> cast_to_el_of_LattPOSet(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d3_lattice3]) ).
fof(c_0_11,plain,
! [X672,X673] :
( empty_carrier(X672)
| ~ lattice(X672)
| ~ latt_str(X672)
| ~ element(X673,the_carrier(poset_of_lattice(X672)))
| element(cast_to_el_of_lattice(X672,X673),the_carrier(X672)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
cnf(c_0_12,plain,
( empty_carrier(X1)
| cast_to_el_of_lattice(X1,X2) = X2
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
element(esk418_0,the_carrier(poset_of_lattice(esk417_0))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
lattice(esk417_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
latt_str(esk417_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
~ empty_carrier(esk417_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_17,lemma,
! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ( latt_element_smaller(X2,X3,X1)
<=> relstr_set_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[t30_lattice3]) ).
fof(c_0_18,plain,
! [X404,X405] :
( empty_carrier(X404)
| ~ lattice(X404)
| ~ latt_str(X404)
| ~ element(X405,the_carrier(X404))
| cast_to_el_of_LattPOSet(X404,X405) = X405 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_19,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
cast_to_el_of_lattice(esk417_0,esk418_0) = esk418_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
fof(c_0_21,lemma,
! [X1797,X1798,X1799] :
( ( ~ latt_element_smaller(X1798,X1799,X1797)
| relstr_set_smaller(poset_of_lattice(X1798),X1797,cast_to_el_of_LattPOSet(X1798,X1799))
| ~ element(X1799,the_carrier(X1798))
| empty_carrier(X1798)
| ~ lattice(X1798)
| ~ latt_str(X1798) )
& ( ~ relstr_set_smaller(poset_of_lattice(X1798),X1797,cast_to_el_of_LattPOSet(X1798,X1799))
| latt_element_smaller(X1798,X1799,X1797)
| ~ element(X1799,the_carrier(X1798))
| empty_carrier(X1798)
| ~ lattice(X1798)
| ~ latt_str(X1798) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
cnf(c_0_22,negated_conjecture,
( relstr_set_smaller(poset_of_lattice(esk417_0),esk416_0,esk418_0)
| latt_element_smaller(esk417_0,cast_to_el_of_lattice(esk417_0,esk418_0),esk416_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,plain,
( empty_carrier(X1)
| cast_to_el_of_LattPOSet(X1,X2) = X2
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
element(esk418_0,the_carrier(esk417_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_13]),c_0_20]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( ~ relstr_set_smaller(poset_of_lattice(esk417_0),esk416_0,esk418_0)
| ~ latt_element_smaller(esk417_0,cast_to_el_of_lattice(esk417_0,esk418_0),esk416_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,lemma,
( relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))
| empty_carrier(X1)
| ~ latt_element_smaller(X1,X2,X3)
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( relstr_set_smaller(poset_of_lattice(esk417_0),esk416_0,esk418_0)
| latt_element_smaller(esk417_0,esk418_0,esk416_0) ),
inference(rw,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
cast_to_el_of_LattPOSet(esk417_0,esk418_0) = esk418_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_29,lemma,
( latt_element_smaller(X1,X3,X2)
| empty_carrier(X1)
| ~ relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ element(X3,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
( ~ relstr_set_smaller(poset_of_lattice(esk417_0),esk416_0,esk418_0)
| ~ latt_element_smaller(esk417_0,esk418_0,esk416_0) ),
inference(rw,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_31,negated_conjecture,
relstr_set_smaller(poset_of_lattice(esk417_0),esk416_0,esk418_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_26,c_0_27]),c_0_28]),c_0_14]),c_0_24]),c_0_15])]),c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( latt_element_smaller(esk417_0,esk418_0,X1)
| ~ relstr_set_smaller(poset_of_lattice(esk417_0),X1,esk418_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_28]),c_0_14]),c_0_24]),c_0_15])]),c_0_16]) ).
cnf(c_0_33,negated_conjecture,
~ latt_element_smaller(esk417_0,esk418_0,esk416_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU350+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n006.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 17:38:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.59 start to proof: theBenchmark
% 1.99/2.04 % Version : CSE_E---1.5
% 1.99/2.04 % Problem : theBenchmark.p
% 1.99/2.04 % Proof found
% 1.99/2.04 % SZS status Theorem for theBenchmark.p
% 1.99/2.04 % SZS output start Proof
% See solution above
% 2.04/2.06 % Total time : 1.420000 s
% 2.04/2.06 % SZS output end Proof
% 2.04/2.06 % Total time : 1.443000 s
%------------------------------------------------------------------------------