TSTP Solution File: SEU361+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU361+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:25:07 EDT 2023
% Result : Theorem 2.33s 2.43s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 654
% Syntax : Number of formulae : 679 ( 11 unt; 648 typ; 0 def)
% Number of atoms : 131 ( 11 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 162 ( 62 ~; 57 |; 27 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1298 ( 604 >; 694 *; 0 +; 0 <<)
% Number of predicates : 100 ( 98 usr; 2 prp; 0-3 aty)
% Number of functors : 550 ( 550 usr; 43 con; 0-7 aty)
% Number of variables : 38 ( 1 sgn; 25 !; 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,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_57,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
empty_carrier: $i > $o ).
tff(decl_59,type,
lattice: $i > $o ).
tff(decl_60,type,
join_commutative: $i > $o ).
tff(decl_61,type,
join_associative: $i > $o ).
tff(decl_62,type,
meet_commutative: $i > $o ).
tff(decl_63,type,
meet_associative: $i > $o ).
tff(decl_64,type,
meet_absorbing: $i > $o ).
tff(decl_65,type,
join_absorbing: $i > $o ).
tff(decl_66,type,
relation: $i > $o ).
tff(decl_67,type,
symmetric: $i > $o ).
tff(decl_68,type,
transitive: $i > $o ).
tff(decl_69,type,
reflexive: $i > $o ).
tff(decl_70,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_71,type,
one_to_one: $i > $o ).
tff(decl_72,type,
bijective: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
onto: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
omega: $i ).
tff(decl_75,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_76,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_77,type,
join_semilatt_str: $i > $o ).
tff(decl_78,type,
join_commut: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_80,type,
meet_semilatt_str: $i > $o ).
tff(decl_81,type,
meet_commut: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
subset_union2: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
subset_intersection2: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_85,type,
identity_relation: $i > $i ).
tff(decl_86,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_87,type,
subset: ( $i * $i ) > $o ).
tff(decl_88,type,
ex_inf_of_relstr_set: ( $i * $i ) > $o ).
tff(decl_89,type,
meet_on_relstr: ( $i * $i ) > $i ).
tff(decl_90,type,
relstr_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_91,type,
related: ( $i * $i * $i ) > $o ).
tff(decl_92,type,
one_sorted_str: $i > $o ).
tff(decl_93,type,
identity_on_carrier: $i > $i ).
tff(decl_94,type,
identity_as_relation_of: $i > $i ).
tff(decl_95,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_96,type,
bottom_of_relstr: $i > $i ).
tff(decl_97,type,
empty_set: $i ).
tff(decl_98,type,
join_on_relstr: ( $i * $i ) > $i ).
tff(decl_99,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_100,type,
relation_dom: $i > $i ).
tff(decl_101,type,
apply: ( $i * $i ) > $i ).
tff(decl_102,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_103,type,
antisymmetric: $i > $o ).
tff(decl_104,type,
relation_field: $i > $i ).
tff(decl_105,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_106,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_107,type,
lower_bounded_semilattstr: $i > $o ).
tff(decl_108,type,
meet: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
top_str: $i > $o ).
tff(decl_110,type,
topstr_closure: ( $i * $i ) > $i ).
tff(decl_111,type,
open_subset: ( $i * $i ) > $o ).
tff(decl_112,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_113,type,
connected: $i > $o ).
tff(decl_114,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_115,type,
latt_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_116,type,
below: ( $i * $i * $i ) > $o ).
tff(decl_117,type,
bottom_of_semilattstr: $i > $i ).
tff(decl_118,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_119,type,
latt_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_120,type,
apply_binary: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
topological_space: $i > $o ).
tff(decl_122,type,
point_neighbourhood: ( $i * $i * $i ) > $o ).
tff(decl_123,type,
interior: ( $i * $i ) > $i ).
tff(decl_124,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_125,type,
relation_rng: $i > $i ).
tff(decl_126,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_127,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_128,type,
boole_lattice: $i > $i ).
tff(decl_129,type,
join: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_131,type,
pair_first: $i > $i ).
tff(decl_132,type,
succ: $i > $i ).
tff(decl_133,type,
singleton: $i > $i ).
tff(decl_134,type,
the_topology: $i > $i ).
tff(decl_135,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_136,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_137,type,
set_meet: $i > $i ).
tff(decl_138,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_139,type,
open_subsets: ( $i * $i ) > $o ).
tff(decl_140,type,
fiber: ( $i * $i ) > $i ).
tff(decl_141,type,
inclusion_relation: $i > $i ).
tff(decl_142,type,
complete_latt_str: $i > $o ).
tff(decl_143,type,
join_of_latt_set: ( $i * $i ) > $i ).
tff(decl_144,type,
meet_of_latt_set: ( $i * $i ) > $i ).
tff(decl_145,type,
a_2_2_lattice3: ( $i * $i ) > $i ).
tff(decl_146,type,
centered: $i > $o ).
tff(decl_147,type,
poset_of_lattice: $i > $i ).
tff(decl_148,type,
k2_lattice3: $i > $i ).
tff(decl_149,type,
pair_second: $i > $i ).
tff(decl_150,type,
empty_carrier_subset: $i > $i ).
tff(decl_151,type,
proper_element: ( $i * $i ) > $o ).
tff(decl_152,type,
union: $i > $i ).
tff(decl_153,type,
closed_subsets: ( $i * $i ) > $o ).
tff(decl_154,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_155,type,
well_founded_relation: $i > $o ).
tff(decl_156,type,
compact_top_space: $i > $o ).
tff(decl_157,type,
is_a_cover_of_carrier: ( $i * $i ) > $o ).
tff(decl_158,type,
cast_to_el_of_LattPOSet: ( $i * $i ) > $i ).
tff(decl_159,type,
cast_as_carrier_subset: $i > $i ).
tff(decl_160,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_161,type,
cast_to_el_of_lattice: ( $i * $i ) > $i ).
tff(decl_162,type,
cast_to_subset: $i > $i ).
tff(decl_163,type,
well_ordering: $i > $o ).
tff(decl_164,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_165,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_166,type,
lower_bounded_relstr: $i > $o ).
tff(decl_167,type,
transitive_relstr: $i > $o ).
tff(decl_168,type,
being_limit_ordinal: $i > $o ).
tff(decl_169,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_170,type,
antisymmetric_relstr: $i > $o ).
tff(decl_171,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_172,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_173,type,
relation_inverse: $i > $i ).
tff(decl_174,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_175,type,
ex_sup_of_relstr_set: ( $i * $i ) > $o ).
tff(decl_176,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_177,type,
relation_of_lattice: $i > $i ).
tff(decl_178,type,
a_1_0_filter_1: $i > $i ).
tff(decl_179,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_180,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_181,type,
function_inverse: $i > $i ).
tff(decl_182,type,
k10_filter_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_183,type,
k8_filter_1: ( $i * $i ) > $i ).
tff(decl_184,type,
ordered_pair_as_product_element: ( $i * $i * $i * $i ) > $i ).
tff(decl_185,type,
k1_pcomps_1: $i > $i ).
tff(decl_186,type,
reflexive_relstr: $i > $o ).
tff(decl_187,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_188,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_189,type,
apply_as_element: ( $i * $i * $i * $i ) > $i ).
tff(decl_190,type,
relation_empty_yielding: $i > $o ).
tff(decl_191,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_192,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_193,type,
below_refl: ( $i * $i * $i ) > $o ).
tff(decl_194,type,
a_2_3_lattice3: ( $i * $i ) > $i ).
tff(decl_195,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_196,type,
related_reflexive: ( $i * $i * $i ) > $o ).
tff(decl_197,type,
epred1_0: $o ).
tff(decl_198,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_199,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_200,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_201,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_202,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_203,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_204,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_205,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_206,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_207,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_208,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_209,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_210,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_211,type,
esk12_1: $i > $i ).
tff(decl_212,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_213,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_214,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_215,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_216,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_217,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_218,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_219,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_220,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_221,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_222,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_223,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_224,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_225,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_226,type,
esk27_1: $i > $i ).
tff(decl_227,type,
esk28_1: $i > $i ).
tff(decl_228,type,
esk29_1: $i > $i ).
tff(decl_229,type,
esk30_1: $i > $i ).
tff(decl_230,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_231,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_232,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_233,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_234,type,
esk35_1: $i > $i ).
tff(decl_235,type,
esk36_1: $i > $i ).
tff(decl_236,type,
esk37_1: $i > $i ).
tff(decl_237,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_238,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_239,type,
esk40_1: $i > $i ).
tff(decl_240,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_241,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_242,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_243,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_244,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_245,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_246,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_247,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_248,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_249,type,
esk50_1: $i > $i ).
tff(decl_250,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_251,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_252,type,
esk53_1: $i > $i ).
tff(decl_253,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_254,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_255,type,
esk56_1: $i > $i ).
tff(decl_256,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_257,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_258,type,
esk59_3: ( $i * $i * $i ) > $i ).
tff(decl_259,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_260,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_261,type,
esk62_1: $i > $i ).
tff(decl_262,type,
esk63_3: ( $i * $i * $i ) > $i ).
tff(decl_263,type,
esk64_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_264,type,
esk65_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_265,type,
esk66_3: ( $i * $i * $i ) > $i ).
tff(decl_266,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_267,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_268,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_269,type,
esk70_1: $i > $i ).
tff(decl_270,type,
esk71_1: $i > $i ).
tff(decl_271,type,
esk72_1: $i > $i ).
tff(decl_272,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_273,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_274,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_275,type,
esk76_3: ( $i * $i * $i ) > $i ).
tff(decl_276,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_277,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_278,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_279,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_280,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_281,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_282,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_283,type,
esk84_3: ( $i * $i * $i ) > $i ).
tff(decl_284,type,
esk85_2: ( $i * $i ) > $i ).
tff(decl_285,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_286,type,
esk87_2: ( $i * $i ) > $i ).
tff(decl_287,type,
esk88_3: ( $i * $i * $i ) > $i ).
tff(decl_288,type,
esk89_1: $i > $i ).
tff(decl_289,type,
esk90_3: ( $i * $i * $i ) > $i ).
tff(decl_290,type,
esk91_2: ( $i * $i ) > $i ).
tff(decl_291,type,
esk92_2: ( $i * $i ) > $i ).
tff(decl_292,type,
esk93_1: $i > $i ).
tff(decl_293,type,
esk94_3: ( $i * $i * $i ) > $i ).
tff(decl_294,type,
esk95_2: ( $i * $i ) > $i ).
tff(decl_295,type,
esk96_2: ( $i * $i ) > $i ).
tff(decl_296,type,
esk97_2: ( $i * $i ) > $i ).
tff(decl_297,type,
esk98_2: ( $i * $i ) > $i ).
tff(decl_298,type,
esk99_2: ( $i * $i ) > $i ).
tff(decl_299,type,
esk100_2: ( $i * $i ) > $i ).
tff(decl_300,type,
esk101_3: ( $i * $i * $i ) > $i ).
tff(decl_301,type,
esk102_3: ( $i * $i * $i ) > $i ).
tff(decl_302,type,
esk103_2: ( $i * $i ) > $i ).
tff(decl_303,type,
esk104_3: ( $i * $i * $i ) > $i ).
tff(decl_304,type,
esk105_3: ( $i * $i * $i ) > $i ).
tff(decl_305,type,
esk106_3: ( $i * $i * $i ) > $i ).
tff(decl_306,type,
esk107_1: $i > $i ).
tff(decl_307,type,
esk108_1: $i > $i ).
tff(decl_308,type,
esk109_3: ( $i * $i * $i ) > $i ).
tff(decl_309,type,
esk110_1: $i > $i ).
tff(decl_310,type,
esk111_1: $i > $i ).
tff(decl_311,type,
esk112_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_312,type,
esk113_3: ( $i * $i * $i ) > $i ).
tff(decl_313,type,
esk114_3: ( $i * $i * $i ) > $i ).
tff(decl_314,type,
esk115_3: ( $i * $i * $i ) > $i ).
tff(decl_315,type,
esk116_2: ( $i * $i ) > $i ).
tff(decl_316,type,
esk117_2: ( $i * $i ) > $i ).
tff(decl_317,type,
esk118_2: ( $i * $i ) > $i ).
tff(decl_318,type,
esk119_3: ( $i * $i * $i ) > $i ).
tff(decl_319,type,
esk120_2: ( $i * $i ) > $i ).
tff(decl_320,type,
esk121_3: ( $i * $i * $i ) > $i ).
tff(decl_321,type,
esk122_3: ( $i * $i * $i ) > $i ).
tff(decl_322,type,
esk123_3: ( $i * $i * $i ) > $i ).
tff(decl_323,type,
esk124_3: ( $i * $i * $i ) > $i ).
tff(decl_324,type,
esk125_3: ( $i * $i * $i ) > $i ).
tff(decl_325,type,
esk126_0: $i ).
tff(decl_326,type,
esk127_0: $i ).
tff(decl_327,type,
esk128_0: $i ).
tff(decl_328,type,
esk129_0: $i ).
tff(decl_329,type,
esk130_0: $i ).
tff(decl_330,type,
esk131_0: $i ).
tff(decl_331,type,
esk132_2: ( $i * $i ) > $i ).
tff(decl_332,type,
esk133_2: ( $i * $i ) > $i ).
tff(decl_333,type,
esk134_1: $i > $i ).
tff(decl_334,type,
esk135_2: ( $i * $i ) > $i ).
tff(decl_335,type,
esk136_2: ( $i * $i ) > $i ).
tff(decl_336,type,
esk137_2: ( $i * $i ) > $i ).
tff(decl_337,type,
esk138_3: ( $i * $i * $i ) > $i ).
tff(decl_338,type,
esk139_3: ( $i * $i * $i ) > $i ).
tff(decl_339,type,
esk140_1: $i > $i ).
tff(decl_340,type,
esk141_1: $i > $i ).
tff(decl_341,type,
esk142_1: $i > $i ).
tff(decl_342,type,
esk143_1: $i > $i ).
tff(decl_343,type,
esk144_2: ( $i * $i ) > $i ).
tff(decl_344,type,
esk145_1: $i > $i ).
tff(decl_345,type,
esk146_1: $i > $i ).
tff(decl_346,type,
esk147_1: $i > $i ).
tff(decl_347,type,
esk148_1: $i > $i ).
tff(decl_348,type,
esk149_2: ( $i * $i ) > $i ).
tff(decl_349,type,
esk150_0: $i ).
tff(decl_350,type,
esk151_0: $i ).
tff(decl_351,type,
esk152_0: $i ).
tff(decl_352,type,
esk153_2: ( $i * $i ) > $i ).
tff(decl_353,type,
esk154_0: $i ).
tff(decl_354,type,
esk155_0: $i ).
tff(decl_355,type,
esk156_0: $i ).
tff(decl_356,type,
esk157_0: $i ).
tff(decl_357,type,
esk158_0: $i ).
tff(decl_358,type,
esk159_0: $i ).
tff(decl_359,type,
esk160_1: $i > $i ).
tff(decl_360,type,
esk161_1: $i > $i ).
tff(decl_361,type,
esk162_0: $i ).
tff(decl_362,type,
esk163_1: $i > $i ).
tff(decl_363,type,
esk164_0: $i ).
tff(decl_364,type,
esk165_1: $i > $i ).
tff(decl_365,type,
esk166_0: $i ).
tff(decl_366,type,
esk167_0: $i ).
tff(decl_367,type,
esk168_2: ( $i * $i ) > $i ).
tff(decl_368,type,
esk169_0: $i ).
tff(decl_369,type,
esk170_1: $i > $i ).
tff(decl_370,type,
esk171_1: $i > $i ).
tff(decl_371,type,
esk172_1: $i > $i ).
tff(decl_372,type,
esk173_0: $i ).
tff(decl_373,type,
esk174_1: $i > $i ).
tff(decl_374,type,
esk175_0: $i ).
tff(decl_375,type,
esk176_0: $i ).
tff(decl_376,type,
esk177_0: $i ).
tff(decl_377,type,
esk178_1: $i > $i ).
tff(decl_378,type,
esk179_0: $i ).
tff(decl_379,type,
esk180_0: $i ).
tff(decl_380,type,
esk181_1: $i > $i ).
tff(decl_381,type,
esk182_0: $i ).
tff(decl_382,type,
esk183_1: $i > $i ).
tff(decl_383,type,
esk184_0: $i ).
tff(decl_384,type,
esk185_1: $i > $i ).
tff(decl_385,type,
esk186_1: $i > $i ).
tff(decl_386,type,
esk187_0: $i ).
tff(decl_387,type,
esk188_2: ( $i * $i ) > $i ).
tff(decl_388,type,
esk189_2: ( $i * $i ) > $i ).
tff(decl_389,type,
esk190_2: ( $i * $i ) > $i ).
tff(decl_390,type,
esk191_2: ( $i * $i ) > $i ).
tff(decl_391,type,
esk192_2: ( $i * $i ) > $i ).
tff(decl_392,type,
esk193_2: ( $i * $i ) > $i ).
tff(decl_393,type,
esk194_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_394,type,
esk195_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_395,type,
esk196_1: $i > $i ).
tff(decl_396,type,
esk197_1: $i > $i ).
tff(decl_397,type,
esk198_1: $i > $i ).
tff(decl_398,type,
esk199_1: $i > $i ).
tff(decl_399,type,
esk200_2: ( $i * $i ) > $i ).
tff(decl_400,type,
esk201_2: ( $i * $i ) > $i ).
tff(decl_401,type,
esk202_2: ( $i * $i ) > $i ).
tff(decl_402,type,
esk203_2: ( $i * $i ) > $i ).
tff(decl_403,type,
esk204_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_404,type,
esk205_2: ( $i * $i ) > $i ).
tff(decl_405,type,
esk206_2: ( $i * $i ) > $i ).
tff(decl_406,type,
esk207_2: ( $i * $i ) > $i ).
tff(decl_407,type,
esk208_2: ( $i * $i ) > $i ).
tff(decl_408,type,
esk209_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_409,type,
esk210_1: $i > $i ).
tff(decl_410,type,
esk211_0: $i ).
tff(decl_411,type,
esk212_2: ( $i * $i ) > $i ).
tff(decl_412,type,
esk213_0: $i ).
tff(decl_413,type,
esk214_1: $i > $i ).
tff(decl_414,type,
esk215_2: ( $i * $i ) > $i ).
tff(decl_415,type,
esk216_3: ( $i * $i * $i ) > $i ).
tff(decl_416,type,
esk217_2: ( $i * $i ) > $i ).
tff(decl_417,type,
esk218_2: ( $i * $i ) > $i ).
tff(decl_418,type,
esk219_2: ( $i * $i ) > $i ).
tff(decl_419,type,
esk220_2: ( $i * $i ) > $i ).
tff(decl_420,type,
esk221_2: ( $i * $i ) > $i ).
tff(decl_421,type,
esk222_2: ( $i * $i ) > $i ).
tff(decl_422,type,
esk223_3: ( $i * $i * $i ) > $i ).
tff(decl_423,type,
esk224_3: ( $i * $i * $i ) > $i ).
tff(decl_424,type,
esk225_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_425,type,
esk226_2: ( $i * $i ) > $i ).
tff(decl_426,type,
esk227_2: ( $i * $i ) > $i ).
tff(decl_427,type,
esk228_2: ( $i * $i ) > $i ).
tff(decl_428,type,
esk229_2: ( $i * $i ) > $i ).
tff(decl_429,type,
esk230_2: ( $i * $i ) > $i ).
tff(decl_430,type,
esk231_2: ( $i * $i ) > $i ).
tff(decl_431,type,
esk232_2: ( $i * $i ) > $i ).
tff(decl_432,type,
esk233_2: ( $i * $i ) > $i ).
tff(decl_433,type,
esk234_2: ( $i * $i ) > $i ).
tff(decl_434,type,
esk235_3: ( $i * $i * $i ) > $i ).
tff(decl_435,type,
esk236_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_436,type,
esk237_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_437,type,
esk238_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_438,type,
esk239_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_439,type,
esk240_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_440,type,
esk241_1: $i > $i ).
tff(decl_441,type,
esk242_1: $i > $i ).
tff(decl_442,type,
esk243_1: $i > $i ).
tff(decl_443,type,
esk244_1: $i > $i ).
tff(decl_444,type,
esk245_2: ( $i * $i ) > $i ).
tff(decl_445,type,
esk246_1: $i > $i ).
tff(decl_446,type,
esk247_1: $i > $i ).
tff(decl_447,type,
esk248_1: $i > $i ).
tff(decl_448,type,
esk249_1: $i > $i ).
tff(decl_449,type,
esk250_1: $i > $i ).
tff(decl_450,type,
esk251_1: $i > $i ).
tff(decl_451,type,
esk252_1: $i > $i ).
tff(decl_452,type,
esk253_2: ( $i * $i ) > $i ).
tff(decl_453,type,
esk254_3: ( $i * $i * $i ) > $i ).
tff(decl_454,type,
esk255_3: ( $i * $i * $i ) > $i ).
tff(decl_455,type,
esk256_3: ( $i * $i * $i ) > $i ).
tff(decl_456,type,
esk257_1: $i > $i ).
tff(decl_457,type,
esk258_1: $i > $i ).
tff(decl_458,type,
esk259_1: $i > $i ).
tff(decl_459,type,
esk260_1: $i > $i ).
tff(decl_460,type,
esk261_2: ( $i * $i ) > $i ).
tff(decl_461,type,
esk262_2: ( $i * $i ) > $i ).
tff(decl_462,type,
esk263_3: ( $i * $i * $i ) > $i ).
tff(decl_463,type,
esk264_3: ( $i * $i * $i ) > $i ).
tff(decl_464,type,
esk265_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_465,type,
esk266_2: ( $i * $i ) > $i ).
tff(decl_466,type,
esk267_2: ( $i * $i ) > $i ).
tff(decl_467,type,
esk268_2: ( $i * $i ) > $i ).
tff(decl_468,type,
esk269_2: ( $i * $i ) > $i ).
tff(decl_469,type,
esk270_2: ( $i * $i ) > $i ).
tff(decl_470,type,
esk271_2: ( $i * $i ) > $i ).
tff(decl_471,type,
esk272_3: ( $i * $i * $i ) > $i ).
tff(decl_472,type,
esk273_3: ( $i * $i * $i ) > $i ).
tff(decl_473,type,
esk274_2: ( $i * $i ) > $i ).
tff(decl_474,type,
esk275_2: ( $i * $i ) > $i ).
tff(decl_475,type,
esk276_2: ( $i * $i ) > $i ).
tff(decl_476,type,
esk277_2: ( $i * $i ) > $i ).
tff(decl_477,type,
esk278_3: ( $i * $i * $i ) > $i ).
tff(decl_478,type,
esk279_2: ( $i * $i ) > $i ).
tff(decl_479,type,
esk280_2: ( $i * $i ) > $i ).
tff(decl_480,type,
esk281_2: ( $i * $i ) > $i ).
tff(decl_481,type,
esk282_2: ( $i * $i ) > $i ).
tff(decl_482,type,
esk283_2: ( $i * $i ) > $i ).
tff(decl_483,type,
esk284_2: ( $i * $i ) > $i ).
tff(decl_484,type,
esk285_3: ( $i * $i * $i ) > $i ).
tff(decl_485,type,
esk286_3: ( $i * $i * $i ) > $i ).
tff(decl_486,type,
esk287_2: ( $i * $i ) > $i ).
tff(decl_487,type,
esk288_2: ( $i * $i ) > $i ).
tff(decl_488,type,
esk289_2: ( $i * $i ) > $i ).
tff(decl_489,type,
esk290_2: ( $i * $i ) > $i ).
tff(decl_490,type,
esk291_3: ( $i * $i * $i ) > $i ).
tff(decl_491,type,
esk292_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_492,type,
esk293_2: ( $i * $i ) > $i ).
tff(decl_493,type,
esk294_2: ( $i * $i ) > $i ).
tff(decl_494,type,
esk295_2: ( $i * $i ) > $i ).
tff(decl_495,type,
esk296_2: ( $i * $i ) > $i ).
tff(decl_496,type,
esk297_2: ( $i * $i ) > $i ).
tff(decl_497,type,
esk298_2: ( $i * $i ) > $i ).
tff(decl_498,type,
esk299_2: ( $i * $i ) > $i ).
tff(decl_499,type,
esk300_3: ( $i * $i * $i ) > $i ).
tff(decl_500,type,
esk301_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_501,type,
esk302_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_502,type,
esk303_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_503,type,
esk304_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_504,type,
esk305_2: ( $i * $i ) > $i ).
tff(decl_505,type,
esk306_2: ( $i * $i ) > $i ).
tff(decl_506,type,
esk307_2: ( $i * $i ) > $i ).
tff(decl_507,type,
esk308_2: ( $i * $i ) > $i ).
tff(decl_508,type,
esk309_3: ( $i * $i * $i ) > $i ).
tff(decl_509,type,
esk310_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_510,type,
esk311_2: ( $i * $i ) > $i ).
tff(decl_511,type,
esk312_2: ( $i * $i ) > $i ).
tff(decl_512,type,
esk313_2: ( $i * $i ) > $i ).
tff(decl_513,type,
esk314_2: ( $i * $i ) > $i ).
tff(decl_514,type,
esk315_2: ( $i * $i ) > $i ).
tff(decl_515,type,
esk316_2: ( $i * $i ) > $i ).
tff(decl_516,type,
esk317_2: ( $i * $i ) > $i ).
tff(decl_517,type,
esk318_3: ( $i * $i * $i ) > $i ).
tff(decl_518,type,
esk319_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_519,type,
esk320_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_520,type,
esk321_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_521,type,
esk322_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_522,type,
esk323_3: ( $i * $i * $i ) > $i ).
tff(decl_523,type,
esk324_3: ( $i * $i * $i ) > $i ).
tff(decl_524,type,
esk325_3: ( $i * $i * $i ) > $i ).
tff(decl_525,type,
esk326_3: ( $i * $i * $i ) > $i ).
tff(decl_526,type,
esk327_3: ( $i * $i * $i ) > $i ).
tff(decl_527,type,
esk328_3: ( $i * $i * $i ) > $i ).
tff(decl_528,type,
esk329_3: ( $i * $i * $i ) > $i ).
tff(decl_529,type,
esk330_3: ( $i * $i * $i ) > $i ).
tff(decl_530,type,
esk331_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_531,type,
esk332_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_532,type,
esk333_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_533,type,
esk334_0: $i ).
tff(decl_534,type,
esk335_0: $i ).
tff(decl_535,type,
esk336_0: $i ).
tff(decl_536,type,
esk337_1: $i > $i ).
tff(decl_537,type,
esk338_2: ( $i * $i ) > $i ).
tff(decl_538,type,
esk339_3: ( $i * $i * $i ) > $i ).
tff(decl_539,type,
esk340_3: ( $i * $i * $i ) > $i ).
tff(decl_540,type,
esk341_3: ( $i * $i * $i ) > $i ).
tff(decl_541,type,
esk342_3: ( $i * $i * $i ) > $i ).
tff(decl_542,type,
esk343_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_543,type,
esk344_2: ( $i * $i ) > $i ).
tff(decl_544,type,
esk345_2: ( $i * $i ) > $i ).
tff(decl_545,type,
esk346_2: ( $i * $i ) > $i ).
tff(decl_546,type,
esk347_2: ( $i * $i ) > $i ).
tff(decl_547,type,
esk348_2: ( $i * $i ) > $i ).
tff(decl_548,type,
esk349_2: ( $i * $i ) > $i ).
tff(decl_549,type,
esk350_3: ( $i * $i * $i ) > $i ).
tff(decl_550,type,
esk351_3: ( $i * $i * $i ) > $i ).
tff(decl_551,type,
esk352_3: ( $i * $i * $i ) > $i ).
tff(decl_552,type,
esk353_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_553,type,
esk354_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_554,type,
esk355_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_555,type,
esk356_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_556,type,
esk357_2: ( $i * $i ) > $i ).
tff(decl_557,type,
esk358_3: ( $i * $i * $i ) > $i ).
tff(decl_558,type,
esk359_3: ( $i * $i * $i ) > $i ).
tff(decl_559,type,
esk360_1: $i > $i ).
tff(decl_560,type,
esk361_2: ( $i * $i ) > $i ).
tff(decl_561,type,
esk362_3: ( $i * $i * $i ) > $i ).
tff(decl_562,type,
esk363_3: ( $i * $i * $i ) > $i ).
tff(decl_563,type,
esk364_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_564,type,
esk365_2: ( $i * $i ) > $i ).
tff(decl_565,type,
esk366_3: ( $i * $i * $i ) > $i ).
tff(decl_566,type,
esk367_2: ( $i * $i ) > $i ).
tff(decl_567,type,
esk368_2: ( $i * $i ) > $i ).
tff(decl_568,type,
esk369_3: ( $i * $i * $i ) > $i ).
tff(decl_569,type,
esk370_3: ( $i * $i * $i ) > $i ).
tff(decl_570,type,
esk371_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_571,type,
esk372_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_572,type,
esk373_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_573,type,
esk374_3: ( $i * $i * $i ) > $i ).
tff(decl_574,type,
esk375_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_575,type,
esk376_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_576,type,
esk377_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_577,type,
esk378_3: ( $i * $i * $i ) > $i ).
tff(decl_578,type,
esk379_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_579,type,
esk380_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_580,type,
esk381_1: $i > $i ).
tff(decl_581,type,
esk382_3: ( $i * $i * $i ) > $i ).
tff(decl_582,type,
esk383_2: ( $i * $i ) > $i ).
tff(decl_583,type,
esk384_3: ( $i * $i * $i ) > $i ).
tff(decl_584,type,
esk385_2: ( $i * $i ) > $i ).
tff(decl_585,type,
esk386_2: ( $i * $i ) > $i ).
tff(decl_586,type,
esk387_2: ( $i * $i ) > $i ).
tff(decl_587,type,
esk388_2: ( $i * $i ) > $i ).
tff(decl_588,type,
esk389_2: ( $i * $i ) > $i ).
tff(decl_589,type,
esk390_2: ( $i * $i ) > $i ).
tff(decl_590,type,
esk391_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_591,type,
esk392_2: ( $i * $i ) > $i ).
tff(decl_592,type,
esk393_3: ( $i * $i * $i ) > $i ).
tff(decl_593,type,
esk394_1: $i > $i ).
tff(decl_594,type,
esk395_1: $i > $i ).
tff(decl_595,type,
esk396_1: $i > $i ).
tff(decl_596,type,
esk397_1: $i > $i ).
tff(decl_597,type,
esk398_1: $i > $i ).
tff(decl_598,type,
esk399_2: ( $i * $i ) > $i ).
tff(decl_599,type,
esk400_2: ( $i * $i ) > $i ).
tff(decl_600,type,
esk401_2: ( $i * $i ) > $i ).
tff(decl_601,type,
esk402_2: ( $i * $i ) > $i ).
tff(decl_602,type,
esk403_3: ( $i * $i * $i ) > $i ).
tff(decl_603,type,
esk404_2: ( $i * $i ) > $i ).
tff(decl_604,type,
esk405_2: ( $i * $i ) > $i ).
tff(decl_605,type,
esk406_2: ( $i * $i ) > $i ).
tff(decl_606,type,
esk407_2: ( $i * $i ) > $i ).
tff(decl_607,type,
esk408_2: ( $i * $i ) > $i ).
tff(decl_608,type,
esk409_3: ( $i * $i * $i ) > $i ).
tff(decl_609,type,
esk410_2: ( $i * $i ) > $i ).
tff(decl_610,type,
esk411_0: $i ).
tff(decl_611,type,
esk412_2: ( $i * $i ) > $i ).
tff(decl_612,type,
esk413_0: $i ).
tff(decl_613,type,
esk414_1: $i > $i ).
tff(decl_614,type,
esk415_2: ( $i * $i ) > $i ).
tff(decl_615,type,
esk416_1: $i > $i ).
tff(decl_616,type,
esk417_2: ( $i * $i ) > $i ).
tff(decl_617,type,
esk418_3: ( $i * $i * $i ) > $i ).
tff(decl_618,type,
esk419_2: ( $i * $i ) > $i ).
tff(decl_619,type,
esk420_1: $i > $i ).
tff(decl_620,type,
esk421_1: $i > $i ).
tff(decl_621,type,
esk422_3: ( $i * $i * $i ) > $i ).
tff(decl_622,type,
esk423_2: ( $i * $i ) > $i ).
tff(decl_623,type,
esk424_3: ( $i * $i * $i ) > $i ).
tff(decl_624,type,
esk425_3: ( $i * $i * $i ) > $i ).
tff(decl_625,type,
esk426_2: ( $i * $i ) > $i ).
tff(decl_626,type,
esk427_3: ( $i * $i * $i ) > $i ).
tff(decl_627,type,
esk428_2: ( $i * $i ) > $i ).
tff(decl_628,type,
esk429_3: ( $i * $i * $i ) > $i ).
tff(decl_629,type,
esk430_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_630,type,
esk431_3: ( $i * $i * $i ) > $i ).
tff(decl_631,type,
esk432_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_632,type,
esk433_1: $i > $i ).
tff(decl_633,type,
esk434_1: $i > $i ).
tff(decl_634,type,
esk435_1: $i > $i ).
tff(decl_635,type,
esk436_2: ( $i * $i ) > $i ).
tff(decl_636,type,
esk437_3: ( $i * $i * $i ) > $i ).
tff(decl_637,type,
esk438_1: $i > $i ).
tff(decl_638,type,
esk439_2: ( $i * $i ) > $i ).
tff(decl_639,type,
esk440_2: ( $i * $i ) > $i ).
tff(decl_640,type,
esk441_3: ( $i * $i * $i ) > $i ).
tff(decl_641,type,
esk442_2: ( $i * $i ) > $i ).
tff(decl_642,type,
esk443_1: $i > $i ).
tff(decl_643,type,
esk444_1: $i > $i ).
tff(decl_644,type,
esk445_2: ( $i * $i ) > $i ).
tff(decl_645,type,
esk446_0: $i ).
tff(decl_646,type,
esk447_0: $i ).
tff(decl_647,type,
esk448_3: ( $i * $i * $i ) > $i ).
tff(decl_648,type,
esk449_2: ( $i * $i ) > $i ).
tff(decl_649,type,
esk450_2: ( $i * $i ) > $i ).
tff(decl_650,type,
esk451_2: ( $i * $i ) > $i ).
tff(decl_651,type,
esk452_2: ( $i * $i ) > $i ).
tff(decl_652,type,
esk453_2: ( $i * $i ) > $i ).
tff(decl_653,type,
esk454_2: ( $i * $i ) > $i ).
tff(decl_654,type,
esk455_1: $i > $i ).
tff(decl_655,type,
esk456_1: $i > $i ).
tff(decl_656,type,
esk457_3: ( $i * $i * $i ) > $i ).
tff(decl_657,type,
esk458_2: ( $i * $i ) > $i ).
tff(decl_658,type,
esk459_1: $i > $i ).
tff(decl_659,type,
esk460_2: ( $i * $i ) > $i ).
tff(decl_660,type,
esk461_0: $i ).
tff(decl_661,type,
esk462_1: $i > $i ).
tff(decl_662,type,
esk463_0: $i ).
tff(decl_663,type,
esk464_1: $i > $i ).
tff(decl_664,type,
esk465_0: $i ).
tff(decl_665,type,
esk466_1: $i > $i ).
tff(decl_666,type,
esk467_3: ( $i * $i * $i ) > $i ).
tff(decl_667,type,
esk468_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_668,type,
esk469_3: ( $i * $i * $i ) > $i ).
tff(decl_669,type,
esk470_4: ( $i * $i * $i * $i ) > $i ).
fof(t44_yellow_0,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(t42_yellow_0,lemma,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ( ex_sup_of_relstr_set(X1,empty_set)
& ex_inf_of_relstr_set(X1,the_carrier(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(d11_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> bottom_of_relstr(X1) = join_on_relstr(X1,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_yellow_0) ).
fof(d9_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( ex_sup_of_relstr_set(X1,X2)
=> ( X3 = join_on_relstr(X1,X2)
<=> ( relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(dt_k1_yellow_0,axiom,
! [X1,X2] :
( rel_str(X1)
=> element(join_on_relstr(X1,X2),the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(t6_yellow_0,lemma,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_set_smaller(X1,empty_set,X2)
& relstr_element_smaller(X1,empty_set,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t44_yellow_0])]) ).
fof(c_0_7,lemma,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ( ex_sup_of_relstr_set(X1,empty_set)
& ex_inf_of_relstr_set(X1,the_carrier(X1)) ) ),
inference(fof_simplification,[status(thm)],[t42_yellow_0]) ).
fof(c_0_8,plain,
! [X135] :
( ~ rel_str(X135)
| bottom_of_relstr(X135) = join_on_relstr(X135,empty_set) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_yellow_0])]) ).
fof(c_0_9,negated_conjecture,
( ~ empty_carrier(esk446_0)
& antisymmetric_relstr(esk446_0)
& lower_bounded_relstr(esk446_0)
& rel_str(esk446_0)
& element(esk447_0,the_carrier(esk446_0))
& ~ related(esk446_0,bottom_of_relstr(esk446_0),esk447_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,plain,
! [X677,X678,X679,X680] :
( ( relstr_set_smaller(X677,X678,X679)
| X679 != join_on_relstr(X677,X678)
| ~ ex_sup_of_relstr_set(X677,X678)
| ~ element(X679,the_carrier(X677))
| ~ rel_str(X677) )
& ( ~ element(X680,the_carrier(X677))
| ~ relstr_set_smaller(X677,X678,X680)
| related(X677,X679,X680)
| X679 != join_on_relstr(X677,X678)
| ~ ex_sup_of_relstr_set(X677,X678)
| ~ element(X679,the_carrier(X677))
| ~ rel_str(X677) )
& ( element(esk125_3(X677,X678,X679),the_carrier(X677))
| ~ relstr_set_smaller(X677,X678,X679)
| X679 = join_on_relstr(X677,X678)
| ~ ex_sup_of_relstr_set(X677,X678)
| ~ element(X679,the_carrier(X677))
| ~ rel_str(X677) )
& ( relstr_set_smaller(X677,X678,esk125_3(X677,X678,X679))
| ~ relstr_set_smaller(X677,X678,X679)
| X679 = join_on_relstr(X677,X678)
| ~ ex_sup_of_relstr_set(X677,X678)
| ~ element(X679,the_carrier(X677))
| ~ rel_str(X677) )
& ( ~ related(X677,X679,esk125_3(X677,X678,X679))
| ~ relstr_set_smaller(X677,X678,X679)
| X679 = join_on_relstr(X677,X678)
| ~ ex_sup_of_relstr_set(X677,X678)
| ~ element(X679,the_carrier(X677))
| ~ rel_str(X677) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_yellow_0])])])])]) ).
fof(c_0_11,plain,
! [X708,X709] :
( ~ rel_str(X708)
| element(join_on_relstr(X708,X709),the_carrier(X708)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])]) ).
fof(c_0_12,lemma,
! [X2142,X2143] :
( ( relstr_set_smaller(X2142,empty_set,X2143)
| ~ element(X2143,the_carrier(X2142))
| ~ rel_str(X2142) )
& ( relstr_element_smaller(X2142,empty_set,X2143)
| ~ element(X2143,the_carrier(X2142))
| ~ rel_str(X2142) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_yellow_0])])])]) ).
fof(c_0_13,lemma,
! [X2010] :
( ( ex_sup_of_relstr_set(X2010,empty_set)
| empty_carrier(X2010)
| ~ antisymmetric_relstr(X2010)
| ~ lower_bounded_relstr(X2010)
| ~ rel_str(X2010) )
& ( ex_inf_of_relstr_set(X2010,the_carrier(X2010))
| empty_carrier(X2010)
| ~ antisymmetric_relstr(X2010)
| ~ lower_bounded_relstr(X2010)
| ~ rel_str(X2010) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_14,plain,
( bottom_of_relstr(X1) = join_on_relstr(X1,empty_set)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
rel_str(esk446_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( related(X2,X4,X1)
| ~ element(X1,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X1)
| X4 != join_on_relstr(X2,X3)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ element(X4,the_carrier(X2))
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( element(join_on_relstr(X1,X2),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,lemma,
( relstr_set_smaller(X1,empty_set,X2)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
element(esk447_0,the_carrier(esk446_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,lemma,
( ex_sup_of_relstr_set(X1,empty_set)
| empty_carrier(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
lower_bounded_relstr(esk446_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
antisymmetric_relstr(esk446_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
~ empty_carrier(esk446_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
~ related(esk446_0,bottom_of_relstr(esk446_0),esk447_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
bottom_of_relstr(esk446_0) = join_on_relstr(esk446_0,empty_set),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_26,plain,
( related(X1,join_on_relstr(X1,X2),X3)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]) ).
cnf(c_0_27,negated_conjecture,
relstr_set_smaller(esk446_0,empty_set,esk447_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15])]) ).
cnf(c_0_28,negated_conjecture,
ex_sup_of_relstr_set(esk446_0,empty_set),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_15])]),c_0_23]) ).
cnf(c_0_29,negated_conjecture,
~ related(esk446_0,join_on_relstr(esk446_0,empty_set),esk447_0),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
$false,
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_26,c_0_27]),c_0_28]),c_0_19]),c_0_15])]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU361+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
% 0.13/0.34 % Computer : n009.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 : Thu Aug 24 00:10:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 2.33/2.43 % Version : CSE_E---1.5
% 2.33/2.43 % Problem : theBenchmark.p
% 2.33/2.43 % Proof found
% 2.33/2.43 % SZS status Theorem for theBenchmark.p
% 2.33/2.43 % SZS output start Proof
% See solution above
% 2.33/2.45 % Total time : 1.838000 s
% 2.33/2.45 % SZS output end Proof
% 2.33/2.45 % Total time : 1.863000 s
%------------------------------------------------------------------------------