TSTP Solution File: SEU388+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU388+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 : n028.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 16:25:22 EDT 2023
% Result : Theorem 4.00s 4.11s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 805
% Syntax : Number of formulae : 830 ( 10 unt; 802 typ; 0 def)
% Number of atoms : 116 ( 13 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 140 ( 52 ~; 51 |; 23 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1602 ( 738 >; 864 *; 0 +; 0 <<)
% Number of predicates : 142 ( 140 usr; 2 prp; 0-3 aty)
% Number of functors : 662 ( 662 usr; 63 con; 0-7 aty)
% Number of variables : 41 ( 0 sgn; 22 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
rel_str: $i > $o ).
tff(decl_23,type,
strict_rel_str: $i > $o ).
tff(decl_24,type,
the_carrier: $i > $i ).
tff(decl_25,type,
the_InternalRel: $i > $i ).
tff(decl_26,type,
rel_str_of: ( $i * $i ) > $i ).
tff(decl_27,type,
latt_str: $i > $o ).
tff(decl_28,type,
strict_latt_str: $i > $o ).
tff(decl_29,type,
the_L_join: $i > $i ).
tff(decl_30,type,
the_L_meet: $i > $i ).
tff(decl_31,type,
latt_str_of: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
one_sorted_str: $i > $o ).
tff(decl_33,type,
net_str: ( $i * $i ) > $o ).
tff(decl_34,type,
strict_net_str: ( $i * $i ) > $o ).
tff(decl_35,type,
the_mapping: ( $i * $i ) > $i ).
tff(decl_36,type,
net_str_of: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
in: ( $i * $i ) > $o ).
tff(decl_38,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_39,type,
v1_membered: $i > $o ).
tff(decl_40,type,
element: ( $i * $i ) > $o ).
tff(decl_41,type,
v1_xcmplx_0: $i > $o ).
tff(decl_42,type,
empty_carrier: $i > $o ).
tff(decl_43,type,
reflexive_relstr: $i > $o ).
tff(decl_44,type,
complete_relstr: $i > $o ).
tff(decl_45,type,
up_complete_relstr: $i > $o ).
tff(decl_46,type,
join_complete_relstr: $i > $o ).
tff(decl_47,type,
boolean_relstr: $i > $o ).
tff(decl_48,type,
transitive_relstr: $i > $o ).
tff(decl_49,type,
antisymmetric_relstr: $i > $o ).
tff(decl_50,type,
with_suprema_relstr: $i > $o ).
tff(decl_51,type,
with_infima_relstr: $i > $o ).
tff(decl_52,type,
upper_bounded_relstr: $i > $o ).
tff(decl_53,type,
distributive_relstr: $i > $o ).
tff(decl_54,type,
heyting_relstr: $i > $o ).
tff(decl_55,type,
v2_membered: $i > $o ).
tff(decl_56,type,
v1_xreal_0: $i > $o ).
tff(decl_57,type,
lower_bounded_relstr: $i > $o ).
tff(decl_58,type,
v3_membered: $i > $o ).
tff(decl_59,type,
v1_rat_1: $i > $o ).
tff(decl_60,type,
bounded_relstr: $i > $o ).
tff(decl_61,type,
v4_membered: $i > $o ).
tff(decl_62,type,
v1_int_1: $i > $o ).
tff(decl_63,type,
v5_membered: $i > $o ).
tff(decl_64,type,
natural: $i > $o ).
tff(decl_65,type,
empty: $i > $o ).
tff(decl_66,type,
powerset: $i > $i ).
tff(decl_67,type,
ordinal: $i > $o ).
tff(decl_68,type,
epsilon_transitive: $i > $o ).
tff(decl_69,type,
epsilon_connected: $i > $o ).
tff(decl_70,type,
finite: $i > $o ).
tff(decl_71,type,
preboolean: $i > $o ).
tff(decl_72,type,
cup_closed: $i > $o ).
tff(decl_73,type,
diff_closed: $i > $o ).
tff(decl_74,type,
function: $i > $o ).
tff(decl_75,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_76,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
lattice: $i > $o ).
tff(decl_79,type,
complete_latt_str: $i > $o ).
tff(decl_80,type,
join_commutative: $i > $o ).
tff(decl_81,type,
join_associative: $i > $o ).
tff(decl_82,type,
meet_commutative: $i > $o ).
tff(decl_83,type,
meet_associative: $i > $o ).
tff(decl_84,type,
meet_absorbing: $i > $o ).
tff(decl_85,type,
join_absorbing: $i > $o ).
tff(decl_86,type,
lower_bounded_semilattstr: $i > $o ).
tff(decl_87,type,
upper_bounded_semilattstr: $i > $o ).
tff(decl_88,type,
bounded_lattstr: $i > $o ).
tff(decl_89,type,
relation: $i > $o ).
tff(decl_90,type,
symmetric: $i > $o ).
tff(decl_91,type,
transitive: $i > $o ).
tff(decl_92,type,
reflexive: $i > $o ).
tff(decl_93,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_94,type,
topological_space: $i > $o ).
tff(decl_95,type,
top_str: $i > $o ).
tff(decl_96,type,
open_subset: ( $i * $i ) > $o ).
tff(decl_97,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_98,type,
connected_relstr: $i > $o ).
tff(decl_99,type,
directed_subset: ( $i * $i ) > $o ).
tff(decl_100,type,
filtered_subset: ( $i * $i ) > $o ).
tff(decl_101,type,
v1_yellow_3: $i > $o ).
tff(decl_102,type,
one_to_one: $i > $o ).
tff(decl_103,type,
bijective: ( $i * $i * $i ) > $o ).
tff(decl_104,type,
onto: ( $i * $i * $i ) > $o ).
tff(decl_105,type,
boundary_set: ( $i * $i ) > $o ).
tff(decl_106,type,
trivial_carrier: $i > $o ).
tff(decl_107,type,
omega: $i ).
tff(decl_108,type,
nowhere_dense: ( $i * $i ) > $o ).
tff(decl_109,type,
v2_waybel_3: $i > $o ).
tff(decl_110,type,
v3_waybel_3: $i > $o ).
tff(decl_111,type,
v1_waybel_2: $i > $o ).
tff(decl_112,type,
v2_waybel_2: $i > $o ).
tff(decl_113,type,
boolean_lattstr: $i > $o ).
tff(decl_114,type,
distributive_lattstr: $i > $o ).
tff(decl_115,type,
complemented_lattstr: $i > $o ).
tff(decl_116,type,
modular_lattstr: $i > $o ).
tff(decl_117,type,
subrelstr: ( $i * $i ) > $o ).
tff(decl_118,type,
full_subrelstr: ( $i * $i ) > $o ).
tff(decl_119,type,
complemented_relstr: $i > $o ).
tff(decl_120,type,
unordered_pair_as_carrier_subset: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_122,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_123,type,
join_semilatt_str: $i > $o ).
tff(decl_124,type,
join_commut: ( $i * $i * $i ) > $i ).
tff(decl_125,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_126,type,
meet_semilatt_str: $i > $o ).
tff(decl_127,type,
meet_commut: ( $i * $i * $i ) > $i ).
tff(decl_128,type,
subset_union2: ( $i * $i * $i ) > $i ).
tff(decl_129,type,
subset_intersection2: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_131,type,
identity_relation: $i > $i ).
tff(decl_132,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_133,type,
subset: ( $i * $i ) > $o ).
tff(decl_134,type,
ex_inf_of_relstr_set: ( $i * $i ) > $o ).
tff(decl_135,type,
meet_on_relstr: ( $i * $i ) > $i ).
tff(decl_136,type,
relstr_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_137,type,
related: ( $i * $i * $i ) > $o ).
tff(decl_138,type,
identity_on_carrier: $i > $i ).
tff(decl_139,type,
identity_as_relation_of: $i > $i ).
tff(decl_140,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_141,type,
is_eventually_in: ( $i * $i * $i ) > $o ).
tff(decl_142,type,
apply_netmap: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
bottom_of_relstr: $i > $i ).
tff(decl_144,type,
empty_set: $i ).
tff(decl_145,type,
join_on_relstr: ( $i * $i ) > $i ).
tff(decl_146,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_147,type,
relation_dom: $i > $i ).
tff(decl_148,type,
apply: ( $i * $i ) > $i ).
tff(decl_149,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_150,type,
antisymmetric: $i > $o ).
tff(decl_151,type,
relation_field: $i > $i ).
tff(decl_152,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_153,type,
is_often_in: ( $i * $i * $i ) > $o ).
tff(decl_154,type,
directed_relstr: $i > $o ).
tff(decl_155,type,
subnet: ( $i * $i * $i ) > $o ).
tff(decl_156,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_157,type,
function_of_composition: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_158,type,
apply_on_set_and_struct: ( $i * $i * $i * $i ) > $i ).
tff(decl_159,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_160,type,
meet: ( $i * $i * $i ) > $i ).
tff(decl_161,type,
topstr_closure: ( $i * $i ) > $i ).
tff(decl_162,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_163,type,
subnetstr: ( $i * $i * $i ) > $o ).
tff(decl_164,type,
preimage_subnetstr: ( $i * $i * $i ) > $i ).
tff(decl_165,type,
function_invverse_img_as_carrier_subset: ( $i * $i * $i * $i ) > $i ).
tff(decl_166,type,
connected: $i > $o ).
tff(decl_167,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_168,type,
relation_restriction_as_relation_of: ( $i * $i ) > $i ).
tff(decl_169,type,
latt_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_170,type,
below: ( $i * $i * $i ) > $o ).
tff(decl_171,type,
bottom_of_semilattstr: $i > $i ).
tff(decl_172,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_173,type,
latt_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_174,type,
lim_points_of_net: ( $i * $i ) > $i ).
tff(decl_175,type,
point_neighbourhood: ( $i * $i * $i ) > $o ).
tff(decl_176,type,
apply_binary: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
interior: ( $i * $i ) > $i ).
tff(decl_178,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
relation_rng: $i > $i ).
tff(decl_180,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_181,type,
boole_lattice: $i > $i ).
tff(decl_182,type,
join: ( $i * $i * $i ) > $i ).
tff(decl_183,type,
apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_184,type,
pair_first: $i > $i ).
tff(decl_185,type,
succ: $i > $i ).
tff(decl_186,type,
singleton: $i > $i ).
tff(decl_187,type,
the_topology: $i > $i ).
tff(decl_188,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_189,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_190,type,
set_meet: $i > $i ).
tff(decl_191,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_192,type,
open_subsets: ( $i * $i ) > $o ).
tff(decl_193,type,
fiber: ( $i * $i ) > $i ).
tff(decl_194,type,
inclusion_relation: $i > $i ).
tff(decl_195,type,
neighborhood_system: ( $i * $i ) > $i ).
tff(decl_196,type,
a_2_0_yellow19: ( $i * $i ) > $i ).
tff(decl_197,type,
incl_POSet: $i > $i ).
tff(decl_198,type,
inclusion_order: $i > $i ).
tff(decl_199,type,
upper_relstr_subset: ( $i * $i ) > $o ).
tff(decl_200,type,
join_of_latt_set: ( $i * $i ) > $i ).
tff(decl_201,type,
meet_of_latt_set: ( $i * $i ) > $i ).
tff(decl_202,type,
a_2_2_lattice3: ( $i * $i ) > $i ).
tff(decl_203,type,
centered: $i > $o ).
tff(decl_204,type,
poset_of_lattice: $i > $i ).
tff(decl_205,type,
k2_lattice3: $i > $i ).
tff(decl_206,type,
pair_second: $i > $i ).
tff(decl_207,type,
empty_carrier_subset: $i > $i ).
tff(decl_208,type,
proper_element: ( $i * $i ) > $o ).
tff(decl_209,type,
union: $i > $i ).
tff(decl_210,type,
closed_subsets: ( $i * $i ) > $o ).
tff(decl_211,type,
well_founded_relation: $i > $o ).
tff(decl_212,type,
boole_POSet: $i > $i ).
tff(decl_213,type,
compact_top_space: $i > $o ).
tff(decl_214,type,
is_a_cover_of_carrier: ( $i * $i ) > $o ).
tff(decl_215,type,
cast_to_el_of_LattPOSet: ( $i * $i ) > $i ).
tff(decl_216,type,
cast_as_carrier_subset: $i > $i ).
tff(decl_217,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_218,type,
cast_to_el_of_lattice: ( $i * $i ) > $i ).
tff(decl_219,type,
cast_to_subset: $i > $i ).
tff(decl_220,type,
well_ordering: $i > $o ).
tff(decl_221,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_222,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_223,type,
being_limit_ordinal: $i > $o ).
tff(decl_224,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_225,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_226,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_227,type,
relation_inverse: $i > $i ).
tff(decl_228,type,
netstr_restr_to_element: ( $i * $i * $i ) > $i ).
tff(decl_229,type,
partfun_dom_restriction: ( $i * $i * $i * $i ) > $i ).
tff(decl_230,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_231,type,
ex_sup_of_relstr_set: ( $i * $i ) > $o ).
tff(decl_232,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_233,type,
relation_of_lattice: $i > $i ).
tff(decl_234,type,
a_1_0_filter_1: $i > $i ).
tff(decl_235,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_236,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_237,type,
apply_on_structs: ( $i * $i * $i * $i ) > $i ).
tff(decl_238,type,
relation_dom_restr_as_relation_of: ( $i * $i * $i * $i ) > $i ).
tff(decl_239,type,
function_inverse: $i > $i ).
tff(decl_240,type,
is_a_cluster_point_of_netstr: ( $i * $i * $i ) > $o ).
tff(decl_241,type,
full_subnetstr: ( $i * $i * $i ) > $o ).
tff(decl_242,type,
k10_filter_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_243,type,
k8_filter_1: ( $i * $i ) > $i ).
tff(decl_244,type,
ordered_pair_as_product_element: ( $i * $i * $i * $i ) > $i ).
tff(decl_245,type,
k1_pcomps_1: $i > $i ).
tff(decl_246,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_247,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_248,type,
apply_on_set_and_struct2: ( $i * $i * $i * $i ) > $i ).
tff(decl_249,type,
apply_as_element: ( $i * $i * $i * $i ) > $i ).
tff(decl_250,type,
relation_empty_yielding: $i > $o ).
tff(decl_251,type,
lower_relstr_subset: ( $i * $i ) > $o ).
tff(decl_252,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_253,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_254,type,
dense: ( $i * $i ) > $o ).
tff(decl_255,type,
below_refl: ( $i * $i * $i ) > $o ).
tff(decl_256,type,
a_2_3_lattice3: ( $i * $i ) > $i ).
tff(decl_257,type,
a_3_0_waybel_9: ( $i * $i * $i ) > $i ).
tff(decl_258,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_259,type,
related_reflexive: ( $i * $i * $i ) > $o ).
tff(decl_260,type,
epred1_0: $o ).
tff(decl_261,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_262,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_263,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_264,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_265,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_266,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_267,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_268,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_269,type,
esk7_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_270,type,
esk8_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_271,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_272,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_273,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_274,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_275,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_276,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_277,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_278,type,
esk16_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_279,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_280,type,
esk18_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_281,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_282,type,
esk20_1: $i > $i ).
tff(decl_283,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_284,type,
esk22_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_285,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_286,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_287,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_288,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_289,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_290,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_291,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_292,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_293,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_294,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_295,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_296,type,
esk34_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_297,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_298,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_299,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_300,type,
esk38_1: $i > $i ).
tff(decl_301,type,
esk39_1: $i > $i ).
tff(decl_302,type,
esk40_1: $i > $i ).
tff(decl_303,type,
esk41_1: $i > $i ).
tff(decl_304,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_305,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_306,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_307,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_308,type,
esk46_1: $i > $i ).
tff(decl_309,type,
esk47_1: $i > $i ).
tff(decl_310,type,
esk48_1: $i > $i ).
tff(decl_311,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_312,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_313,type,
esk51_1: $i > $i ).
tff(decl_314,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_315,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_316,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_317,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_318,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_319,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_320,type,
esk58_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_321,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_322,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_323,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_324,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_325,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_326,type,
esk64_1: $i > $i ).
tff(decl_327,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_328,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_329,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_330,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_331,type,
esk69_1: $i > $i ).
tff(decl_332,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_333,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_334,type,
esk72_1: $i > $i ).
tff(decl_335,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_336,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_337,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_338,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_339,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_340,type,
esk78_1: $i > $i ).
tff(decl_341,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_342,type,
esk80_1: $i > $i ).
tff(decl_343,type,
esk81_1: $i > $i ).
tff(decl_344,type,
esk82_1: $i > $i ).
tff(decl_345,type,
esk83_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_346,type,
esk84_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_347,type,
esk85_3: ( $i * $i * $i ) > $i ).
tff(decl_348,type,
esk86_3: ( $i * $i * $i ) > $i ).
tff(decl_349,type,
esk87_3: ( $i * $i * $i ) > $i ).
tff(decl_350,type,
esk88_2: ( $i * $i ) > $i ).
tff(decl_351,type,
esk89_1: $i > $i ).
tff(decl_352,type,
esk90_1: $i > $i ).
tff(decl_353,type,
esk91_1: $i > $i ).
tff(decl_354,type,
esk92_2: ( $i * $i ) > $i ).
tff(decl_355,type,
esk93_2: ( $i * $i ) > $i ).
tff(decl_356,type,
esk94_2: ( $i * $i ) > $i ).
tff(decl_357,type,
esk95_3: ( $i * $i * $i ) > $i ).
tff(decl_358,type,
esk96_2: ( $i * $i ) > $i ).
tff(decl_359,type,
esk97_3: ( $i * $i * $i ) > $i ).
tff(decl_360,type,
esk98_3: ( $i * $i * $i ) > $i ).
tff(decl_361,type,
esk99_2: ( $i * $i ) > $i ).
tff(decl_362,type,
esk100_2: ( $i * $i ) > $i ).
tff(decl_363,type,
esk101_2: ( $i * $i ) > $i ).
tff(decl_364,type,
esk102_2: ( $i * $i ) > $i ).
tff(decl_365,type,
esk103_3: ( $i * $i * $i ) > $i ).
tff(decl_366,type,
esk104_2: ( $i * $i ) > $i ).
tff(decl_367,type,
esk105_2: ( $i * $i ) > $i ).
tff(decl_368,type,
esk106_2: ( $i * $i ) > $i ).
tff(decl_369,type,
esk107_3: ( $i * $i * $i ) > $i ).
tff(decl_370,type,
esk108_1: $i > $i ).
tff(decl_371,type,
esk109_3: ( $i * $i * $i ) > $i ).
tff(decl_372,type,
esk110_2: ( $i * $i ) > $i ).
tff(decl_373,type,
esk111_2: ( $i * $i ) > $i ).
tff(decl_374,type,
esk112_1: $i > $i ).
tff(decl_375,type,
esk113_3: ( $i * $i * $i ) > $i ).
tff(decl_376,type,
esk114_2: ( $i * $i ) > $i ).
tff(decl_377,type,
esk115_2: ( $i * $i ) > $i ).
tff(decl_378,type,
esk116_3: ( $i * $i * $i ) > $i ).
tff(decl_379,type,
esk117_1: $i > $i ).
tff(decl_380,type,
esk118_1: $i > $i ).
tff(decl_381,type,
esk119_2: ( $i * $i ) > $i ).
tff(decl_382,type,
esk120_2: ( $i * $i ) > $i ).
tff(decl_383,type,
esk121_2: ( $i * $i ) > $i ).
tff(decl_384,type,
esk122_2: ( $i * $i ) > $i ).
tff(decl_385,type,
esk123_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_386,type,
esk124_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_387,type,
esk125_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_388,type,
esk126_3: ( $i * $i * $i ) > $i ).
tff(decl_389,type,
esk127_3: ( $i * $i * $i ) > $i ).
tff(decl_390,type,
esk128_2: ( $i * $i ) > $i ).
tff(decl_391,type,
esk129_3: ( $i * $i * $i ) > $i ).
tff(decl_392,type,
esk130_3: ( $i * $i * $i ) > $i ).
tff(decl_393,type,
esk131_3: ( $i * $i * $i ) > $i ).
tff(decl_394,type,
esk132_1: $i > $i ).
tff(decl_395,type,
esk133_1: $i > $i ).
tff(decl_396,type,
esk134_3: ( $i * $i * $i ) > $i ).
tff(decl_397,type,
esk135_1: $i > $i ).
tff(decl_398,type,
esk136_1: $i > $i ).
tff(decl_399,type,
esk137_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_400,type,
esk138_3: ( $i * $i * $i ) > $i ).
tff(decl_401,type,
esk139_3: ( $i * $i * $i ) > $i ).
tff(decl_402,type,
esk140_3: ( $i * $i * $i ) > $i ).
tff(decl_403,type,
esk141_2: ( $i * $i ) > $i ).
tff(decl_404,type,
esk142_2: ( $i * $i ) > $i ).
tff(decl_405,type,
esk143_2: ( $i * $i ) > $i ).
tff(decl_406,type,
esk144_3: ( $i * $i * $i ) > $i ).
tff(decl_407,type,
esk145_2: ( $i * $i ) > $i ).
tff(decl_408,type,
esk146_3: ( $i * $i * $i ) > $i ).
tff(decl_409,type,
esk147_3: ( $i * $i * $i ) > $i ).
tff(decl_410,type,
esk148_3: ( $i * $i * $i ) > $i ).
tff(decl_411,type,
esk149_3: ( $i * $i * $i ) > $i ).
tff(decl_412,type,
esk150_3: ( $i * $i * $i ) > $i ).
tff(decl_413,type,
esk151_3: ( $i * $i * $i ) > $i ).
tff(decl_414,type,
esk152_0: $i ).
tff(decl_415,type,
esk153_0: $i ).
tff(decl_416,type,
esk154_0: $i ).
tff(decl_417,type,
esk155_0: $i ).
tff(decl_418,type,
esk156_1: $i > $i ).
tff(decl_419,type,
esk157_0: $i ).
tff(decl_420,type,
esk158_0: $i ).
tff(decl_421,type,
esk159_2: ( $i * $i ) > $i ).
tff(decl_422,type,
esk160_2: ( $i * $i ) > $i ).
tff(decl_423,type,
esk161_1: $i > $i ).
tff(decl_424,type,
esk162_1: $i > $i ).
tff(decl_425,type,
esk163_2: ( $i * $i ) > $i ).
tff(decl_426,type,
esk164_2: ( $i * $i ) > $i ).
tff(decl_427,type,
esk165_2: ( $i * $i ) > $i ).
tff(decl_428,type,
esk166_2: ( $i * $i ) > $i ).
tff(decl_429,type,
esk167_2: ( $i * $i ) > $i ).
tff(decl_430,type,
esk168_3: ( $i * $i * $i ) > $i ).
tff(decl_431,type,
esk169_3: ( $i * $i * $i ) > $i ).
tff(decl_432,type,
esk170_3: ( $i * $i * $i ) > $i ).
tff(decl_433,type,
esk171_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_434,type,
esk172_1: $i > $i ).
tff(decl_435,type,
esk173_1: $i > $i ).
tff(decl_436,type,
esk174_1: $i > $i ).
tff(decl_437,type,
esk175_1: $i > $i ).
tff(decl_438,type,
esk176_2: ( $i * $i ) > $i ).
tff(decl_439,type,
esk177_1: $i > $i ).
tff(decl_440,type,
esk178_1: $i > $i ).
tff(decl_441,type,
esk179_1: $i > $i ).
tff(decl_442,type,
esk180_1: $i > $i ).
tff(decl_443,type,
esk181_2: ( $i * $i ) > $i ).
tff(decl_444,type,
esk182_0: $i ).
tff(decl_445,type,
esk183_1: $i > $i ).
tff(decl_446,type,
esk184_0: $i ).
tff(decl_447,type,
esk185_1: $i > $i ).
tff(decl_448,type,
esk186_0: $i ).
tff(decl_449,type,
esk187_0: $i ).
tff(decl_450,type,
esk188_0: $i ).
tff(decl_451,type,
esk189_0: $i ).
tff(decl_452,type,
esk190_0: $i ).
tff(decl_453,type,
esk191_0: $i ).
tff(decl_454,type,
esk192_0: $i ).
tff(decl_455,type,
esk193_2: ( $i * $i ) > $i ).
tff(decl_456,type,
esk194_0: $i ).
tff(decl_457,type,
esk195_0: $i ).
tff(decl_458,type,
esk196_0: $i ).
tff(decl_459,type,
esk197_0: $i ).
tff(decl_460,type,
esk198_0: $i ).
tff(decl_461,type,
esk199_0: $i ).
tff(decl_462,type,
esk200_0: $i ).
tff(decl_463,type,
esk201_0: $i ).
tff(decl_464,type,
esk202_1: $i > $i ).
tff(decl_465,type,
esk203_1: $i > $i ).
tff(decl_466,type,
esk204_1: $i > $i ).
tff(decl_467,type,
esk205_0: $i ).
tff(decl_468,type,
esk206_0: $i ).
tff(decl_469,type,
esk207_0: $i ).
tff(decl_470,type,
esk208_0: $i ).
tff(decl_471,type,
esk209_0: $i ).
tff(decl_472,type,
esk210_0: $i ).
tff(decl_473,type,
esk211_1: $i > $i ).
tff(decl_474,type,
esk212_0: $i ).
tff(decl_475,type,
esk213_1: $i > $i ).
tff(decl_476,type,
esk214_0: $i ).
tff(decl_477,type,
esk215_0: $i ).
tff(decl_478,type,
esk216_0: $i ).
tff(decl_479,type,
esk217_2: ( $i * $i ) > $i ).
tff(decl_480,type,
esk218_0: $i ).
tff(decl_481,type,
esk219_1: $i > $i ).
tff(decl_482,type,
esk220_1: $i > $i ).
tff(decl_483,type,
esk221_1: $i > $i ).
tff(decl_484,type,
esk222_1: $i > $i ).
tff(decl_485,type,
esk223_0: $i ).
tff(decl_486,type,
esk224_1: $i > $i ).
tff(decl_487,type,
esk225_0: $i ).
tff(decl_488,type,
esk226_0: $i ).
tff(decl_489,type,
esk227_1: $i > $i ).
tff(decl_490,type,
esk228_0: $i ).
tff(decl_491,type,
esk229_0: $i ).
tff(decl_492,type,
esk230_0: $i ).
tff(decl_493,type,
esk231_1: $i > $i ).
tff(decl_494,type,
esk232_0: $i ).
tff(decl_495,type,
esk233_0: $i ).
tff(decl_496,type,
esk234_1: $i > $i ).
tff(decl_497,type,
esk235_1: $i > $i ).
tff(decl_498,type,
esk236_1: $i > $i ).
tff(decl_499,type,
esk237_0: $i ).
tff(decl_500,type,
esk238_1: $i > $i ).
tff(decl_501,type,
esk239_1: $i > $i ).
tff(decl_502,type,
esk240_0: $i ).
tff(decl_503,type,
esk241_1: $i > $i ).
tff(decl_504,type,
esk242_0: $i ).
tff(decl_505,type,
esk243_1: $i > $i ).
tff(decl_506,type,
esk244_1: $i > $i ).
tff(decl_507,type,
esk245_0: $i ).
tff(decl_508,type,
esk246_0: $i ).
tff(decl_509,type,
esk247_1: $i > $i ).
tff(decl_510,type,
esk248_2: ( $i * $i ) > $i ).
tff(decl_511,type,
esk249_1: $i > $i ).
tff(decl_512,type,
esk250_1: $i > $i ).
tff(decl_513,type,
esk251_2: ( $i * $i ) > $i ).
tff(decl_514,type,
esk252_1: $i > $i ).
tff(decl_515,type,
esk253_0: $i ).
tff(decl_516,type,
esk254_1: $i > $i ).
tff(decl_517,type,
esk255_2: ( $i * $i ) > $i ).
tff(decl_518,type,
esk256_2: ( $i * $i ) > $i ).
tff(decl_519,type,
esk257_2: ( $i * $i ) > $i ).
tff(decl_520,type,
esk258_2: ( $i * $i ) > $i ).
tff(decl_521,type,
esk259_2: ( $i * $i ) > $i ).
tff(decl_522,type,
esk260_2: ( $i * $i ) > $i ).
tff(decl_523,type,
esk261_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_524,type,
esk262_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_525,type,
esk263_1: $i > $i ).
tff(decl_526,type,
esk264_1: $i > $i ).
tff(decl_527,type,
esk265_1: $i > $i ).
tff(decl_528,type,
esk266_1: $i > $i ).
tff(decl_529,type,
esk267_2: ( $i * $i ) > $i ).
tff(decl_530,type,
esk268_2: ( $i * $i ) > $i ).
tff(decl_531,type,
esk269_2: ( $i * $i ) > $i ).
tff(decl_532,type,
esk270_2: ( $i * $i ) > $i ).
tff(decl_533,type,
esk271_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_534,type,
esk272_2: ( $i * $i ) > $i ).
tff(decl_535,type,
esk273_2: ( $i * $i ) > $i ).
tff(decl_536,type,
esk274_2: ( $i * $i ) > $i ).
tff(decl_537,type,
esk275_2: ( $i * $i ) > $i ).
tff(decl_538,type,
esk276_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_539,type,
esk277_1: $i > $i ).
tff(decl_540,type,
esk278_0: $i ).
tff(decl_541,type,
esk279_2: ( $i * $i ) > $i ).
tff(decl_542,type,
esk280_0: $i ).
tff(decl_543,type,
esk281_1: $i > $i ).
tff(decl_544,type,
esk282_2: ( $i * $i ) > $i ).
tff(decl_545,type,
esk283_3: ( $i * $i * $i ) > $i ).
tff(decl_546,type,
esk284_2: ( $i * $i ) > $i ).
tff(decl_547,type,
esk285_2: ( $i * $i ) > $i ).
tff(decl_548,type,
esk286_2: ( $i * $i ) > $i ).
tff(decl_549,type,
esk287_2: ( $i * $i ) > $i ).
tff(decl_550,type,
esk288_2: ( $i * $i ) > $i ).
tff(decl_551,type,
esk289_2: ( $i * $i ) > $i ).
tff(decl_552,type,
esk290_3: ( $i * $i * $i ) > $i ).
tff(decl_553,type,
esk291_3: ( $i * $i * $i ) > $i ).
tff(decl_554,type,
esk292_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_555,type,
esk293_2: ( $i * $i ) > $i ).
tff(decl_556,type,
esk294_2: ( $i * $i ) > $i ).
tff(decl_557,type,
esk295_2: ( $i * $i ) > $i ).
tff(decl_558,type,
esk296_2: ( $i * $i ) > $i ).
tff(decl_559,type,
esk297_2: ( $i * $i ) > $i ).
tff(decl_560,type,
esk298_2: ( $i * $i ) > $i ).
tff(decl_561,type,
esk299_2: ( $i * $i ) > $i ).
tff(decl_562,type,
esk300_2: ( $i * $i ) > $i ).
tff(decl_563,type,
esk301_2: ( $i * $i ) > $i ).
tff(decl_564,type,
esk302_3: ( $i * $i * $i ) > $i ).
tff(decl_565,type,
esk303_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_566,type,
esk304_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_567,type,
esk305_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_568,type,
esk306_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_569,type,
esk307_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_570,type,
esk308_3: ( $i * $i * $i ) > $i ).
tff(decl_571,type,
esk309_3: ( $i * $i * $i ) > $i ).
tff(decl_572,type,
esk310_3: ( $i * $i * $i ) > $i ).
tff(decl_573,type,
esk311_3: ( $i * $i * $i ) > $i ).
tff(decl_574,type,
esk312_3: ( $i * $i * $i ) > $i ).
tff(decl_575,type,
esk313_3: ( $i * $i * $i ) > $i ).
tff(decl_576,type,
esk314_3: ( $i * $i * $i ) > $i ).
tff(decl_577,type,
esk315_3: ( $i * $i * $i ) > $i ).
tff(decl_578,type,
esk316_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_579,type,
esk317_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_580,type,
esk318_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_581,type,
esk319_1: $i > $i ).
tff(decl_582,type,
esk320_1: $i > $i ).
tff(decl_583,type,
esk321_1: $i > $i ).
tff(decl_584,type,
esk322_1: $i > $i ).
tff(decl_585,type,
esk323_2: ( $i * $i ) > $i ).
tff(decl_586,type,
esk324_1: $i > $i ).
tff(decl_587,type,
esk325_1: $i > $i ).
tff(decl_588,type,
esk326_1: $i > $i ).
tff(decl_589,type,
esk327_1: $i > $i ).
tff(decl_590,type,
esk328_1: $i > $i ).
tff(decl_591,type,
esk329_1: $i > $i ).
tff(decl_592,type,
esk330_1: $i > $i ).
tff(decl_593,type,
esk331_2: ( $i * $i ) > $i ).
tff(decl_594,type,
esk332_3: ( $i * $i * $i ) > $i ).
tff(decl_595,type,
esk333_3: ( $i * $i * $i ) > $i ).
tff(decl_596,type,
esk334_3: ( $i * $i * $i ) > $i ).
tff(decl_597,type,
esk335_1: $i > $i ).
tff(decl_598,type,
esk336_1: $i > $i ).
tff(decl_599,type,
esk337_1: $i > $i ).
tff(decl_600,type,
esk338_1: $i > $i ).
tff(decl_601,type,
esk339_2: ( $i * $i ) > $i ).
tff(decl_602,type,
esk340_2: ( $i * $i ) > $i ).
tff(decl_603,type,
esk341_3: ( $i * $i * $i ) > $i ).
tff(decl_604,type,
esk342_3: ( $i * $i * $i ) > $i ).
tff(decl_605,type,
esk343_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_606,type,
esk344_2: ( $i * $i ) > $i ).
tff(decl_607,type,
esk345_2: ( $i * $i ) > $i ).
tff(decl_608,type,
esk346_2: ( $i * $i ) > $i ).
tff(decl_609,type,
esk347_2: ( $i * $i ) > $i ).
tff(decl_610,type,
esk348_2: ( $i * $i ) > $i ).
tff(decl_611,type,
esk349_2: ( $i * $i ) > $i ).
tff(decl_612,type,
esk350_3: ( $i * $i * $i ) > $i ).
tff(decl_613,type,
esk351_3: ( $i * $i * $i ) > $i ).
tff(decl_614,type,
esk352_2: ( $i * $i ) > $i ).
tff(decl_615,type,
esk353_2: ( $i * $i ) > $i ).
tff(decl_616,type,
esk354_2: ( $i * $i ) > $i ).
tff(decl_617,type,
esk355_2: ( $i * $i ) > $i ).
tff(decl_618,type,
esk356_3: ( $i * $i * $i ) > $i ).
tff(decl_619,type,
esk357_2: ( $i * $i ) > $i ).
tff(decl_620,type,
esk358_2: ( $i * $i ) > $i ).
tff(decl_621,type,
esk359_2: ( $i * $i ) > $i ).
tff(decl_622,type,
esk360_2: ( $i * $i ) > $i ).
tff(decl_623,type,
esk361_2: ( $i * $i ) > $i ).
tff(decl_624,type,
esk362_2: ( $i * $i ) > $i ).
tff(decl_625,type,
esk363_3: ( $i * $i * $i ) > $i ).
tff(decl_626,type,
esk364_3: ( $i * $i * $i ) > $i ).
tff(decl_627,type,
esk365_2: ( $i * $i ) > $i ).
tff(decl_628,type,
esk366_2: ( $i * $i ) > $i ).
tff(decl_629,type,
esk367_2: ( $i * $i ) > $i ).
tff(decl_630,type,
esk368_2: ( $i * $i ) > $i ).
tff(decl_631,type,
esk369_3: ( $i * $i * $i ) > $i ).
tff(decl_632,type,
esk370_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_633,type,
esk371_2: ( $i * $i ) > $i ).
tff(decl_634,type,
esk372_2: ( $i * $i ) > $i ).
tff(decl_635,type,
esk373_2: ( $i * $i ) > $i ).
tff(decl_636,type,
esk374_2: ( $i * $i ) > $i ).
tff(decl_637,type,
esk375_2: ( $i * $i ) > $i ).
tff(decl_638,type,
esk376_2: ( $i * $i ) > $i ).
tff(decl_639,type,
esk377_2: ( $i * $i ) > $i ).
tff(decl_640,type,
esk378_3: ( $i * $i * $i ) > $i ).
tff(decl_641,type,
esk379_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_642,type,
esk380_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_643,type,
esk381_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_644,type,
esk382_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_645,type,
esk383_2: ( $i * $i ) > $i ).
tff(decl_646,type,
esk384_2: ( $i * $i ) > $i ).
tff(decl_647,type,
esk385_2: ( $i * $i ) > $i ).
tff(decl_648,type,
esk386_2: ( $i * $i ) > $i ).
tff(decl_649,type,
esk387_3: ( $i * $i * $i ) > $i ).
tff(decl_650,type,
esk388_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_651,type,
esk389_2: ( $i * $i ) > $i ).
tff(decl_652,type,
esk390_2: ( $i * $i ) > $i ).
tff(decl_653,type,
esk391_2: ( $i * $i ) > $i ).
tff(decl_654,type,
esk392_2: ( $i * $i ) > $i ).
tff(decl_655,type,
esk393_2: ( $i * $i ) > $i ).
tff(decl_656,type,
esk394_2: ( $i * $i ) > $i ).
tff(decl_657,type,
esk395_2: ( $i * $i ) > $i ).
tff(decl_658,type,
esk396_3: ( $i * $i * $i ) > $i ).
tff(decl_659,type,
esk397_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_660,type,
esk398_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_661,type,
esk399_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_662,type,
esk400_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_663,type,
esk401_3: ( $i * $i * $i ) > $i ).
tff(decl_664,type,
esk402_3: ( $i * $i * $i ) > $i ).
tff(decl_665,type,
esk403_3: ( $i * $i * $i ) > $i ).
tff(decl_666,type,
esk404_3: ( $i * $i * $i ) > $i ).
tff(decl_667,type,
esk405_3: ( $i * $i * $i ) > $i ).
tff(decl_668,type,
esk406_3: ( $i * $i * $i ) > $i ).
tff(decl_669,type,
esk407_3: ( $i * $i * $i ) > $i ).
tff(decl_670,type,
esk408_3: ( $i * $i * $i ) > $i ).
tff(decl_671,type,
esk409_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_672,type,
esk410_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_673,type,
esk411_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_674,type,
esk412_0: $i ).
tff(decl_675,type,
esk413_0: $i ).
tff(decl_676,type,
esk414_0: $i ).
tff(decl_677,type,
esk415_1: $i > $i ).
tff(decl_678,type,
esk416_2: ( $i * $i ) > $i ).
tff(decl_679,type,
esk417_3: ( $i * $i * $i ) > $i ).
tff(decl_680,type,
esk418_3: ( $i * $i * $i ) > $i ).
tff(decl_681,type,
esk419_3: ( $i * $i * $i ) > $i ).
tff(decl_682,type,
esk420_3: ( $i * $i * $i ) > $i ).
tff(decl_683,type,
esk421_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_684,type,
esk422_2: ( $i * $i ) > $i ).
tff(decl_685,type,
esk423_2: ( $i * $i ) > $i ).
tff(decl_686,type,
esk424_2: ( $i * $i ) > $i ).
tff(decl_687,type,
esk425_2: ( $i * $i ) > $i ).
tff(decl_688,type,
esk426_2: ( $i * $i ) > $i ).
tff(decl_689,type,
esk427_2: ( $i * $i ) > $i ).
tff(decl_690,type,
esk428_3: ( $i * $i * $i ) > $i ).
tff(decl_691,type,
esk429_3: ( $i * $i * $i ) > $i ).
tff(decl_692,type,
esk430_3: ( $i * $i * $i ) > $i ).
tff(decl_693,type,
esk431_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_694,type,
esk432_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_695,type,
esk433_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_696,type,
esk434_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_697,type,
esk435_3: ( $i * $i * $i ) > $i ).
tff(decl_698,type,
esk436_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_699,type,
esk437_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_700,type,
esk438_2: ( $i * $i ) > $i ).
tff(decl_701,type,
esk439_3: ( $i * $i * $i ) > $i ).
tff(decl_702,type,
esk440_3: ( $i * $i * $i ) > $i ).
tff(decl_703,type,
esk441_1: $i > $i ).
tff(decl_704,type,
esk442_2: ( $i * $i ) > $i ).
tff(decl_705,type,
esk443_3: ( $i * $i * $i ) > $i ).
tff(decl_706,type,
esk444_3: ( $i * $i * $i ) > $i ).
tff(decl_707,type,
esk445_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_708,type,
esk446_2: ( $i * $i ) > $i ).
tff(decl_709,type,
esk447_3: ( $i * $i * $i ) > $i ).
tff(decl_710,type,
esk448_2: ( $i * $i ) > $i ).
tff(decl_711,type,
esk449_2: ( $i * $i ) > $i ).
tff(decl_712,type,
esk450_3: ( $i * $i * $i ) > $i ).
tff(decl_713,type,
esk451_3: ( $i * $i * $i ) > $i ).
tff(decl_714,type,
esk452_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_715,type,
esk453_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_716,type,
esk454_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_717,type,
esk455_3: ( $i * $i * $i ) > $i ).
tff(decl_718,type,
esk456_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_719,type,
esk457_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_720,type,
esk458_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_721,type,
esk459_3: ( $i * $i * $i ) > $i ).
tff(decl_722,type,
esk460_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_723,type,
esk461_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_724,type,
esk462_1: $i > $i ).
tff(decl_725,type,
esk463_3: ( $i * $i * $i ) > $i ).
tff(decl_726,type,
esk464_2: ( $i * $i ) > $i ).
tff(decl_727,type,
esk465_3: ( $i * $i * $i ) > $i ).
tff(decl_728,type,
esk466_3: ( $i * $i * $i ) > $i ).
tff(decl_729,type,
esk467_3: ( $i * $i * $i ) > $i ).
tff(decl_730,type,
esk468_3: ( $i * $i * $i ) > $i ).
tff(decl_731,type,
esk469_3: ( $i * $i * $i ) > $i ).
tff(decl_732,type,
esk470_2: ( $i * $i ) > $i ).
tff(decl_733,type,
esk471_2: ( $i * $i ) > $i ).
tff(decl_734,type,
esk472_2: ( $i * $i ) > $i ).
tff(decl_735,type,
esk473_2: ( $i * $i ) > $i ).
tff(decl_736,type,
esk474_2: ( $i * $i ) > $i ).
tff(decl_737,type,
esk475_2: ( $i * $i ) > $i ).
tff(decl_738,type,
esk476_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_739,type,
esk477_2: ( $i * $i ) > $i ).
tff(decl_740,type,
esk478_3: ( $i * $i * $i ) > $i ).
tff(decl_741,type,
esk479_1: $i > $i ).
tff(decl_742,type,
esk480_1: $i > $i ).
tff(decl_743,type,
esk481_1: $i > $i ).
tff(decl_744,type,
esk482_1: $i > $i ).
tff(decl_745,type,
esk483_1: $i > $i ).
tff(decl_746,type,
esk484_2: ( $i * $i ) > $i ).
tff(decl_747,type,
esk485_2: ( $i * $i ) > $i ).
tff(decl_748,type,
esk486_2: ( $i * $i ) > $i ).
tff(decl_749,type,
esk487_2: ( $i * $i ) > $i ).
tff(decl_750,type,
esk488_3: ( $i * $i * $i ) > $i ).
tff(decl_751,type,
esk489_2: ( $i * $i ) > $i ).
tff(decl_752,type,
esk490_2: ( $i * $i ) > $i ).
tff(decl_753,type,
esk491_2: ( $i * $i ) > $i ).
tff(decl_754,type,
esk492_2: ( $i * $i ) > $i ).
tff(decl_755,type,
esk493_2: ( $i * $i ) > $i ).
tff(decl_756,type,
esk494_3: ( $i * $i * $i ) > $i ).
tff(decl_757,type,
esk495_2: ( $i * $i ) > $i ).
tff(decl_758,type,
esk496_0: $i ).
tff(decl_759,type,
esk497_2: ( $i * $i ) > $i ).
tff(decl_760,type,
esk498_0: $i ).
tff(decl_761,type,
esk499_1: $i > $i ).
tff(decl_762,type,
esk500_2: ( $i * $i ) > $i ).
tff(decl_763,type,
esk501_1: $i > $i ).
tff(decl_764,type,
esk502_2: ( $i * $i ) > $i ).
tff(decl_765,type,
esk503_3: ( $i * $i * $i ) > $i ).
tff(decl_766,type,
esk504_2: ( $i * $i ) > $i ).
tff(decl_767,type,
esk505_2: ( $i * $i ) > $i ).
tff(decl_768,type,
esk506_2: ( $i * $i ) > $i ).
tff(decl_769,type,
esk507_1: $i > $i ).
tff(decl_770,type,
esk508_1: $i > $i ).
tff(decl_771,type,
esk509_3: ( $i * $i * $i ) > $i ).
tff(decl_772,type,
esk510_2: ( $i * $i ) > $i ).
tff(decl_773,type,
esk511_3: ( $i * $i * $i ) > $i ).
tff(decl_774,type,
esk512_3: ( $i * $i * $i ) > $i ).
tff(decl_775,type,
esk513_2: ( $i * $i ) > $i ).
tff(decl_776,type,
esk514_3: ( $i * $i * $i ) > $i ).
tff(decl_777,type,
esk515_2: ( $i * $i ) > $i ).
tff(decl_778,type,
esk516_3: ( $i * $i * $i ) > $i ).
tff(decl_779,type,
esk517_2: ( $i * $i ) > $i ).
tff(decl_780,type,
esk518_3: ( $i * $i * $i ) > $i ).
tff(decl_781,type,
esk519_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_782,type,
esk520_3: ( $i * $i * $i ) > $i ).
tff(decl_783,type,
esk521_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_784,type,
esk522_1: $i > $i ).
tff(decl_785,type,
esk523_1: $i > $i ).
tff(decl_786,type,
esk524_1: $i > $i ).
tff(decl_787,type,
esk525_2: ( $i * $i ) > $i ).
tff(decl_788,type,
esk526_3: ( $i * $i * $i ) > $i ).
tff(decl_789,type,
esk527_1: $i > $i ).
tff(decl_790,type,
esk528_2: ( $i * $i ) > $i ).
tff(decl_791,type,
esk529_2: ( $i * $i ) > $i ).
tff(decl_792,type,
esk530_3: ( $i * $i * $i ) > $i ).
tff(decl_793,type,
esk531_2: ( $i * $i ) > $i ).
tff(decl_794,type,
esk532_0: $i ).
tff(decl_795,type,
esk533_0: $i ).
tff(decl_796,type,
esk534_0: $i ).
tff(decl_797,type,
esk535_1: $i > $i ).
tff(decl_798,type,
esk536_1: $i > $i ).
tff(decl_799,type,
esk537_2: ( $i * $i ) > $i ).
tff(decl_800,type,
esk538_3: ( $i * $i * $i ) > $i ).
tff(decl_801,type,
esk539_2: ( $i * $i ) > $i ).
tff(decl_802,type,
esk540_2: ( $i * $i ) > $i ).
tff(decl_803,type,
esk541_2: ( $i * $i ) > $i ).
tff(decl_804,type,
esk542_2: ( $i * $i ) > $i ).
tff(decl_805,type,
esk543_2: ( $i * $i ) > $i ).
tff(decl_806,type,
esk544_2: ( $i * $i ) > $i ).
tff(decl_807,type,
esk545_1: $i > $i ).
tff(decl_808,type,
esk546_1: $i > $i ).
tff(decl_809,type,
esk547_3: ( $i * $i * $i ) > $i ).
tff(decl_810,type,
esk548_3: ( $i * $i * $i ) > $i ).
tff(decl_811,type,
esk549_2: ( $i * $i ) > $i ).
tff(decl_812,type,
esk550_1: $i > $i ).
tff(decl_813,type,
esk551_2: ( $i * $i ) > $i ).
tff(decl_814,type,
esk552_0: $i ).
tff(decl_815,type,
esk553_1: $i > $i ).
tff(decl_816,type,
esk554_0: $i ).
tff(decl_817,type,
esk555_1: $i > $i ).
tff(decl_818,type,
esk556_0: $i ).
tff(decl_819,type,
esk557_1: $i > $i ).
tff(decl_820,type,
esk558_3: ( $i * $i * $i ) > $i ).
tff(decl_821,type,
esk559_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_822,type,
esk560_3: ( $i * $i * $i ) > $i ).
tff(decl_823,type,
esk561_4: ( $i * $i * $i * $i ) > $i ).
fof(d1_yellow19,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> neighborhood_system(X1,X2) = a_2_0_yellow19(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yellow19) ).
fof(t3_yellow19,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( in(X3,neighborhood_system(X1,X2))
<=> point_neighbourhood(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).
fof(fraenkel_a_2_0_yellow19,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X2)
& topological_space(X2)
& top_str(X2)
& element(X3,the_carrier(X2)) )
=> ( in(X1,a_2_0_yellow19(X2,X3))
<=> ? [X4] :
( point_neighbourhood(X4,X2,X3)
& X1 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
fof(c_0_3,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> neighborhood_system(X1,X2) = a_2_0_yellow19(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[d1_yellow19]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( in(X3,neighborhood_system(X1,X2))
<=> point_neighbourhood(X3,X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t3_yellow19])]) ).
fof(c_0_5,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X2)
& topological_space(X2)
& top_str(X2)
& element(X3,the_carrier(X2)) )
=> ( in(X1,a_2_0_yellow19(X2,X3))
<=> ? [X4] :
( point_neighbourhood(X4,X2,X3)
& X1 = X4 ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_2_0_yellow19]) ).
fof(c_0_6,plain,
! [X450,X451] :
( empty_carrier(X450)
| ~ topological_space(X450)
| ~ top_str(X450)
| ~ element(X451,the_carrier(X450))
| neighborhood_system(X450,X451) = a_2_0_yellow19(X450,X451) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_7,negated_conjecture,
( ~ empty_carrier(esk532_0)
& topological_space(esk532_0)
& top_str(esk532_0)
& element(esk533_0,the_carrier(esk532_0))
& ( ~ in(esk534_0,neighborhood_system(esk532_0,esk533_0))
| ~ point_neighbourhood(esk534_0,esk532_0,esk533_0) )
& ( in(esk534_0,neighborhood_system(esk532_0,esk533_0))
| point_neighbourhood(esk534_0,esk532_0,esk533_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,plain,
! [X1207,X1208,X1209,X1211] :
( ( point_neighbourhood(esk168_3(X1207,X1208,X1209),X1208,X1209)
| ~ in(X1207,a_2_0_yellow19(X1208,X1209))
| empty_carrier(X1208)
| ~ topological_space(X1208)
| ~ top_str(X1208)
| ~ element(X1209,the_carrier(X1208)) )
& ( X1207 = esk168_3(X1207,X1208,X1209)
| ~ in(X1207,a_2_0_yellow19(X1208,X1209))
| empty_carrier(X1208)
| ~ topological_space(X1208)
| ~ top_str(X1208)
| ~ element(X1209,the_carrier(X1208)) )
& ( ~ point_neighbourhood(X1211,X1208,X1209)
| X1207 != X1211
| in(X1207,a_2_0_yellow19(X1208,X1209))
| empty_carrier(X1208)
| ~ topological_space(X1208)
| ~ top_str(X1208)
| ~ element(X1209,the_carrier(X1208)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_9,plain,
( empty_carrier(X1)
| neighborhood_system(X1,X2) = a_2_0_yellow19(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
element(esk533_0,the_carrier(esk532_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
top_str(esk532_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
topological_space(esk532_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
~ empty_carrier(esk532_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( in(X4,a_2_0_yellow19(X2,X3))
| empty_carrier(X2)
| ~ point_neighbourhood(X1,X2,X3)
| X4 != X1
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( point_neighbourhood(esk168_3(X1,X2,X3),X2,X3)
| empty_carrier(X2)
| ~ in(X1,a_2_0_yellow19(X2,X3))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
a_2_0_yellow19(esk532_0,esk533_0) = neighborhood_system(esk532_0,esk533_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_17,plain,
( empty_carrier(X1)
| in(X2,a_2_0_yellow19(X1,X3))
| ~ point_neighbourhood(X2,X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X3,the_carrier(X1)) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( in(esk534_0,neighborhood_system(esk532_0,esk533_0))
| point_neighbourhood(esk534_0,esk532_0,esk533_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( X1 = esk168_3(X1,X2,X3)
| empty_carrier(X2)
| ~ in(X1,a_2_0_yellow19(X2,X3))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( point_neighbourhood(esk168_3(X1,esk532_0,esk533_0),esk532_0,esk533_0)
| ~ in(X1,neighborhood_system(esk532_0,esk533_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_15,c_0_10]),c_0_11]),c_0_12]),c_0_16])]),c_0_13]) ).
cnf(c_0_21,negated_conjecture,
in(esk534_0,neighborhood_system(esk532_0,esk533_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_17,c_0_18]),c_0_16]),c_0_11]),c_0_12]),c_0_10])]),c_0_13]) ).
cnf(c_0_22,negated_conjecture,
( esk168_3(X1,esk532_0,esk533_0) = X1
| ~ in(X1,neighborhood_system(esk532_0,esk533_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_10]),c_0_11]),c_0_12]),c_0_16])]),c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( ~ in(esk534_0,neighborhood_system(esk532_0,esk533_0))
| ~ point_neighbourhood(esk534_0,esk532_0,esk533_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,negated_conjecture,
point_neighbourhood(esk168_3(esk534_0,esk532_0,esk533_0),esk532_0,esk533_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
esk168_3(esk534_0,esk532_0,esk533_0) = esk534_0,
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
~ point_neighbourhood(esk534_0,esk532_0,esk533_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21])]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU388+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 19:05:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.59 start to proof: theBenchmark
% 4.00/4.11 % Version : CSE_E---1.5
% 4.00/4.11 % Problem : theBenchmark.p
% 4.00/4.11 % Proof found
% 4.00/4.11 % SZS status Theorem for theBenchmark.p
% 4.00/4.11 % SZS output start Proof
% See solution above
% 4.00/4.14 % Total time : 3.476000 s
% 4.00/4.14 % SZS output end Proof
% 4.00/4.14 % Total time : 3.510000 s
%------------------------------------------------------------------------------