TSTP Solution File: SEU341+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU341+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 : n020.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 16:24:36 EDT 2023
% Result : Theorem 25.85s 26.08s
% Output : CNFRefutation 25.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 567
% Syntax : Number of formulae : 596 ( 13 unt; 560 typ; 0 def)
% Number of atoms : 131 ( 11 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 151 ( 56 ~; 46 |; 22 &)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1120 ( 520 >; 600 *; 0 +; 0 <<)
% Number of predicates : 75 ( 73 usr; 2 prp; 0-3 aty)
% Number of functors : 487 ( 487 usr; 39 con; 0-7 aty)
% Number of variables : 48 ( 0 sgn; 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_24,type,
v1_membered: $i > $o ).
tff(decl_25,type,
element: ( $i * $i ) > $o ).
tff(decl_26,type,
v1_xcmplx_0: $i > $o ).
tff(decl_27,type,
v2_membered: $i > $o ).
tff(decl_28,type,
v1_xreal_0: $i > $o ).
tff(decl_29,type,
v3_membered: $i > $o ).
tff(decl_30,type,
v1_rat_1: $i > $o ).
tff(decl_31,type,
v4_membered: $i > $o ).
tff(decl_32,type,
v1_int_1: $i > $o ).
tff(decl_33,type,
v5_membered: $i > $o ).
tff(decl_34,type,
natural: $i > $o ).
tff(decl_35,type,
empty: $i > $o ).
tff(decl_36,type,
powerset: $i > $i ).
tff(decl_37,type,
ordinal: $i > $o ).
tff(decl_38,type,
epsilon_transitive: $i > $o ).
tff(decl_39,type,
epsilon_connected: $i > $o ).
tff(decl_40,type,
finite: $i > $o ).
tff(decl_41,type,
preboolean: $i > $o ).
tff(decl_42,type,
cup_closed: $i > $o ).
tff(decl_43,type,
diff_closed: $i > $o ).
tff(decl_44,type,
function: $i > $o ).
tff(decl_45,type,
relation: $i > $o ).
tff(decl_46,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_47,type,
one_to_one: $i > $o ).
tff(decl_48,type,
omega: $i ).
tff(decl_49,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_50,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_51,type,
empty_carrier: $i > $o ).
tff(decl_52,type,
join_commutative: $i > $o ).
tff(decl_53,type,
join_semilatt_str: $i > $o ).
tff(decl_54,type,
the_carrier: $i > $i ).
tff(decl_55,type,
join_commut: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_57,type,
meet_commutative: $i > $o ).
tff(decl_58,type,
meet_semilatt_str: $i > $o ).
tff(decl_59,type,
meet_commut: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
subset_intersection2: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_62,type,
identity_relation: $i > $i ).
tff(decl_63,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_64,type,
subset: ( $i * $i ) > $o ).
tff(decl_65,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_66,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_67,type,
relation_dom: $i > $i ).
tff(decl_68,type,
apply: ( $i * $i ) > $i ).
tff(decl_69,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_70,type,
antisymmetric: $i > $o ).
tff(decl_71,type,
relation_field: $i > $i ).
tff(decl_72,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_73,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_74,type,
top_str: $i > $o ).
tff(decl_75,type,
topstr_closure: ( $i * $i ) > $i ).
tff(decl_76,type,
open_subset: ( $i * $i ) > $o ).
tff(decl_77,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_78,type,
connected: $i > $o ).
tff(decl_79,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_80,type,
transitive: $i > $o ).
tff(decl_81,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_82,type,
topological_space: $i > $o ).
tff(decl_83,type,
point_neighbourhood: ( $i * $i * $i ) > $o ).
tff(decl_84,type,
interior: ( $i * $i ) > $i ).
tff(decl_85,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
relation_rng: $i > $i ).
tff(decl_87,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_88,type,
empty_set: $i ).
tff(decl_89,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_90,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
join: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
the_L_join: $i > $i ).
tff(decl_93,type,
apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
pair_first: $i > $i ).
tff(decl_95,type,
succ: $i > $i ).
tff(decl_96,type,
singleton: $i > $i ).
tff(decl_97,type,
the_topology: $i > $i ).
tff(decl_98,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_99,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_100,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_101,type,
set_meet: $i > $i ).
tff(decl_102,type,
one_sorted_str: $i > $o ).
tff(decl_103,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_104,type,
open_subsets: ( $i * $i ) > $o ).
tff(decl_105,type,
fiber: ( $i * $i ) > $i ).
tff(decl_106,type,
inclusion_relation: $i > $i ).
tff(decl_107,type,
centered: $i > $o ).
tff(decl_108,type,
meet: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
the_L_meet: $i > $i ).
tff(decl_110,type,
pair_second: $i > $i ).
tff(decl_111,type,
empty_carrier_subset: $i > $i ).
tff(decl_112,type,
closed_subsets: ( $i * $i ) > $o ).
tff(decl_113,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_114,type,
well_founded_relation: $i > $o ).
tff(decl_115,type,
compact_top_space: $i > $o ).
tff(decl_116,type,
is_a_cover_of_carrier: ( $i * $i ) > $o ).
tff(decl_117,type,
below: ( $i * $i * $i ) > $o ).
tff(decl_118,type,
cast_as_carrier_subset: $i > $i ).
tff(decl_119,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_120,type,
cast_to_subset: $i > $i ).
tff(decl_121,type,
union: $i > $i ).
tff(decl_122,type,
well_ordering: $i > $o ).
tff(decl_123,type,
reflexive: $i > $o ).
tff(decl_124,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_125,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_126,type,
rel_str: $i > $o ).
tff(decl_127,type,
transitive_relstr: $i > $o ).
tff(decl_128,type,
the_InternalRel: $i > $i ).
tff(decl_129,type,
being_limit_ordinal: $i > $o ).
tff(decl_130,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_131,type,
antisymmetric_relstr: $i > $o ).
tff(decl_132,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_133,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_134,type,
relation_inverse: $i > $i ).
tff(decl_135,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_136,type,
latt_str: $i > $o ).
tff(decl_137,type,
meet_absorbing: $i > $o ).
tff(decl_138,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_139,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_140,type,
function_inverse: $i > $i ).
tff(decl_141,type,
related: ( $i * $i * $i ) > $o ).
tff(decl_142,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_144,type,
relation_empty_yielding: $i > $o ).
tff(decl_145,type,
apply_binary: ( $i * $i * $i ) > $i ).
tff(decl_146,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_147,type,
epred1_0: $o ).
tff(decl_148,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_149,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_150,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_154,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_155,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_156,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_157,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_158,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_159,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_160,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_161,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_162,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_163,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_164,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_165,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_170,type,
esk21_1: $i > $i ).
tff(decl_171,type,
esk22_1: $i > $i ).
tff(decl_172,type,
esk23_1: $i > $i ).
tff(decl_173,type,
esk24_1: $i > $i ).
tff(decl_174,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_175,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_176,type,
esk27_1: $i > $i ).
tff(decl_177,type,
esk28_1: $i > $i ).
tff(decl_178,type,
esk29_1: $i > $i ).
tff(decl_179,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_181,type,
esk32_1: $i > $i ).
tff(decl_182,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_184,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_185,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_187,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_188,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_190,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_191,type,
esk42_1: $i > $i ).
tff(decl_192,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_193,type,
esk44_1: $i > $i ).
tff(decl_194,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_195,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_196,type,
esk47_1: $i > $i ).
tff(decl_197,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_198,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_199,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_201,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_202,type,
esk53_1: $i > $i ).
tff(decl_203,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_204,type,
esk55_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_205,type,
esk56_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_206,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_207,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_208,type,
esk59_3: ( $i * $i * $i ) > $i ).
tff(decl_209,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk61_1: $i > $i ).
tff(decl_211,type,
esk62_1: $i > $i ).
tff(decl_212,type,
esk63_1: $i > $i ).
tff(decl_213,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_214,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_215,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_216,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_217,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_218,type,
esk69_3: ( $i * $i * $i ) > $i ).
tff(decl_219,type,
esk70_3: ( $i * $i * $i ) > $i ).
tff(decl_220,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_221,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_222,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_223,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_224,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_225,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_226,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_227,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_228,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_229,type,
esk80_3: ( $i * $i * $i ) > $i ).
tff(decl_230,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_231,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_232,type,
esk83_1: $i > $i ).
tff(decl_233,type,
esk84_3: ( $i * $i * $i ) > $i ).
tff(decl_234,type,
esk85_2: ( $i * $i ) > $i ).
tff(decl_235,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_236,type,
esk87_2: ( $i * $i ) > $i ).
tff(decl_237,type,
esk88_2: ( $i * $i ) > $i ).
tff(decl_238,type,
esk89_2: ( $i * $i ) > $i ).
tff(decl_239,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_240,type,
esk91_3: ( $i * $i * $i ) > $i ).
tff(decl_241,type,
esk92_3: ( $i * $i * $i ) > $i ).
tff(decl_242,type,
esk93_1: $i > $i ).
tff(decl_243,type,
esk94_1: $i > $i ).
tff(decl_244,type,
esk95_1: $i > $i ).
tff(decl_245,type,
esk96_1: $i > $i ).
tff(decl_246,type,
esk97_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_247,type,
esk98_3: ( $i * $i * $i ) > $i ).
tff(decl_248,type,
esk99_3: ( $i * $i * $i ) > $i ).
tff(decl_249,type,
esk100_3: ( $i * $i * $i ) > $i ).
tff(decl_250,type,
esk101_2: ( $i * $i ) > $i ).
tff(decl_251,type,
esk102_2: ( $i * $i ) > $i ).
tff(decl_252,type,
esk103_2: ( $i * $i ) > $i ).
tff(decl_253,type,
esk104_3: ( $i * $i * $i ) > $i ).
tff(decl_254,type,
esk105_0: $i ).
tff(decl_255,type,
esk106_0: $i ).
tff(decl_256,type,
esk107_0: $i ).
tff(decl_257,type,
esk108_0: $i ).
tff(decl_258,type,
esk109_0: $i ).
tff(decl_259,type,
esk110_0: $i ).
tff(decl_260,type,
esk111_2: ( $i * $i ) > $i ).
tff(decl_261,type,
esk112_2: ( $i * $i ) > $i ).
tff(decl_262,type,
esk113_1: $i > $i ).
tff(decl_263,type,
esk114_2: ( $i * $i ) > $i ).
tff(decl_264,type,
esk115_1: $i > $i ).
tff(decl_265,type,
esk116_1: $i > $i ).
tff(decl_266,type,
esk117_1: $i > $i ).
tff(decl_267,type,
esk118_1: $i > $i ).
tff(decl_268,type,
esk119_2: ( $i * $i ) > $i ).
tff(decl_269,type,
esk120_1: $i > $i ).
tff(decl_270,type,
esk121_1: $i > $i ).
tff(decl_271,type,
esk122_1: $i > $i ).
tff(decl_272,type,
esk123_1: $i > $i ).
tff(decl_273,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_274,type,
esk125_0: $i ).
tff(decl_275,type,
esk126_0: $i ).
tff(decl_276,type,
esk127_0: $i ).
tff(decl_277,type,
esk128_2: ( $i * $i ) > $i ).
tff(decl_278,type,
esk129_0: $i ).
tff(decl_279,type,
esk130_0: $i ).
tff(decl_280,type,
esk131_0: $i ).
tff(decl_281,type,
esk132_0: $i ).
tff(decl_282,type,
esk133_0: $i ).
tff(decl_283,type,
esk134_1: $i > $i ).
tff(decl_284,type,
esk135_1: $i > $i ).
tff(decl_285,type,
esk136_0: $i ).
tff(decl_286,type,
esk137_1: $i > $i ).
tff(decl_287,type,
esk138_0: $i ).
tff(decl_288,type,
esk139_0: $i ).
tff(decl_289,type,
esk140_2: ( $i * $i ) > $i ).
tff(decl_290,type,
esk141_0: $i ).
tff(decl_291,type,
esk142_1: $i > $i ).
tff(decl_292,type,
esk143_1: $i > $i ).
tff(decl_293,type,
esk144_0: $i ).
tff(decl_294,type,
esk145_1: $i > $i ).
tff(decl_295,type,
esk146_0: $i ).
tff(decl_296,type,
esk147_0: $i ).
tff(decl_297,type,
esk148_0: $i ).
tff(decl_298,type,
esk149_0: $i ).
tff(decl_299,type,
esk150_1: $i > $i ).
tff(decl_300,type,
esk151_0: $i ).
tff(decl_301,type,
esk152_1: $i > $i ).
tff(decl_302,type,
esk153_1: $i > $i ).
tff(decl_303,type,
esk154_1: $i > $i ).
tff(decl_304,type,
esk155_2: ( $i * $i ) > $i ).
tff(decl_305,type,
esk156_2: ( $i * $i ) > $i ).
tff(decl_306,type,
esk157_2: ( $i * $i ) > $i ).
tff(decl_307,type,
esk158_2: ( $i * $i ) > $i ).
tff(decl_308,type,
esk159_2: ( $i * $i ) > $i ).
tff(decl_309,type,
esk160_2: ( $i * $i ) > $i ).
tff(decl_310,type,
esk161_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_311,type,
esk162_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_312,type,
esk163_1: $i > $i ).
tff(decl_313,type,
esk164_1: $i > $i ).
tff(decl_314,type,
esk165_1: $i > $i ).
tff(decl_315,type,
esk166_1: $i > $i ).
tff(decl_316,type,
esk167_2: ( $i * $i ) > $i ).
tff(decl_317,type,
esk168_2: ( $i * $i ) > $i ).
tff(decl_318,type,
esk169_2: ( $i * $i ) > $i ).
tff(decl_319,type,
esk170_2: ( $i * $i ) > $i ).
tff(decl_320,type,
esk171_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_321,type,
esk172_2: ( $i * $i ) > $i ).
tff(decl_322,type,
esk173_2: ( $i * $i ) > $i ).
tff(decl_323,type,
esk174_2: ( $i * $i ) > $i ).
tff(decl_324,type,
esk175_2: ( $i * $i ) > $i ).
tff(decl_325,type,
esk176_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_326,type,
esk177_1: $i > $i ).
tff(decl_327,type,
esk178_0: $i ).
tff(decl_328,type,
esk179_2: ( $i * $i ) > $i ).
tff(decl_329,type,
esk180_0: $i ).
tff(decl_330,type,
esk181_1: $i > $i ).
tff(decl_331,type,
esk182_2: ( $i * $i ) > $i ).
tff(decl_332,type,
esk183_3: ( $i * $i * $i ) > $i ).
tff(decl_333,type,
esk184_2: ( $i * $i ) > $i ).
tff(decl_334,type,
esk185_2: ( $i * $i ) > $i ).
tff(decl_335,type,
esk186_2: ( $i * $i ) > $i ).
tff(decl_336,type,
esk187_2: ( $i * $i ) > $i ).
tff(decl_337,type,
esk188_2: ( $i * $i ) > $i ).
tff(decl_338,type,
esk189_2: ( $i * $i ) > $i ).
tff(decl_339,type,
esk190_3: ( $i * $i * $i ) > $i ).
tff(decl_340,type,
esk191_3: ( $i * $i * $i ) > $i ).
tff(decl_341,type,
esk192_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_342,type,
esk193_2: ( $i * $i ) > $i ).
tff(decl_343,type,
esk194_2: ( $i * $i ) > $i ).
tff(decl_344,type,
esk195_2: ( $i * $i ) > $i ).
tff(decl_345,type,
esk196_2: ( $i * $i ) > $i ).
tff(decl_346,type,
esk197_2: ( $i * $i ) > $i ).
tff(decl_347,type,
esk198_2: ( $i * $i ) > $i ).
tff(decl_348,type,
esk199_2: ( $i * $i ) > $i ).
tff(decl_349,type,
esk200_2: ( $i * $i ) > $i ).
tff(decl_350,type,
esk201_2: ( $i * $i ) > $i ).
tff(decl_351,type,
esk202_3: ( $i * $i * $i ) > $i ).
tff(decl_352,type,
esk203_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_353,type,
esk204_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_354,type,
esk205_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_355,type,
esk206_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_356,type,
esk207_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_357,type,
esk208_1: $i > $i ).
tff(decl_358,type,
esk209_1: $i > $i ).
tff(decl_359,type,
esk210_1: $i > $i ).
tff(decl_360,type,
esk211_1: $i > $i ).
tff(decl_361,type,
esk212_2: ( $i * $i ) > $i ).
tff(decl_362,type,
esk213_1: $i > $i ).
tff(decl_363,type,
esk214_1: $i > $i ).
tff(decl_364,type,
esk215_1: $i > $i ).
tff(decl_365,type,
esk216_1: $i > $i ).
tff(decl_366,type,
esk217_1: $i > $i ).
tff(decl_367,type,
esk218_1: $i > $i ).
tff(decl_368,type,
esk219_1: $i > $i ).
tff(decl_369,type,
esk220_2: ( $i * $i ) > $i ).
tff(decl_370,type,
esk221_3: ( $i * $i * $i ) > $i ).
tff(decl_371,type,
esk222_3: ( $i * $i * $i ) > $i ).
tff(decl_372,type,
esk223_3: ( $i * $i * $i ) > $i ).
tff(decl_373,type,
esk224_1: $i > $i ).
tff(decl_374,type,
esk225_1: $i > $i ).
tff(decl_375,type,
esk226_1: $i > $i ).
tff(decl_376,type,
esk227_1: $i > $i ).
tff(decl_377,type,
esk228_2: ( $i * $i ) > $i ).
tff(decl_378,type,
esk229_2: ( $i * $i ) > $i ).
tff(decl_379,type,
esk230_3: ( $i * $i * $i ) > $i ).
tff(decl_380,type,
esk231_3: ( $i * $i * $i ) > $i ).
tff(decl_381,type,
esk232_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_382,type,
esk233_2: ( $i * $i ) > $i ).
tff(decl_383,type,
esk234_2: ( $i * $i ) > $i ).
tff(decl_384,type,
esk235_2: ( $i * $i ) > $i ).
tff(decl_385,type,
esk236_2: ( $i * $i ) > $i ).
tff(decl_386,type,
esk237_2: ( $i * $i ) > $i ).
tff(decl_387,type,
esk238_2: ( $i * $i ) > $i ).
tff(decl_388,type,
esk239_3: ( $i * $i * $i ) > $i ).
tff(decl_389,type,
esk240_3: ( $i * $i * $i ) > $i ).
tff(decl_390,type,
esk241_2: ( $i * $i ) > $i ).
tff(decl_391,type,
esk242_2: ( $i * $i ) > $i ).
tff(decl_392,type,
esk243_2: ( $i * $i ) > $i ).
tff(decl_393,type,
esk244_2: ( $i * $i ) > $i ).
tff(decl_394,type,
esk245_3: ( $i * $i * $i ) > $i ).
tff(decl_395,type,
esk246_2: ( $i * $i ) > $i ).
tff(decl_396,type,
esk247_2: ( $i * $i ) > $i ).
tff(decl_397,type,
esk248_2: ( $i * $i ) > $i ).
tff(decl_398,type,
esk249_2: ( $i * $i ) > $i ).
tff(decl_399,type,
esk250_2: ( $i * $i ) > $i ).
tff(decl_400,type,
esk251_2: ( $i * $i ) > $i ).
tff(decl_401,type,
esk252_3: ( $i * $i * $i ) > $i ).
tff(decl_402,type,
esk253_3: ( $i * $i * $i ) > $i ).
tff(decl_403,type,
esk254_2: ( $i * $i ) > $i ).
tff(decl_404,type,
esk255_2: ( $i * $i ) > $i ).
tff(decl_405,type,
esk256_2: ( $i * $i ) > $i ).
tff(decl_406,type,
esk257_2: ( $i * $i ) > $i ).
tff(decl_407,type,
esk258_3: ( $i * $i * $i ) > $i ).
tff(decl_408,type,
esk259_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_409,type,
esk260_2: ( $i * $i ) > $i ).
tff(decl_410,type,
esk261_2: ( $i * $i ) > $i ).
tff(decl_411,type,
esk262_2: ( $i * $i ) > $i ).
tff(decl_412,type,
esk263_2: ( $i * $i ) > $i ).
tff(decl_413,type,
esk264_2: ( $i * $i ) > $i ).
tff(decl_414,type,
esk265_2: ( $i * $i ) > $i ).
tff(decl_415,type,
esk266_2: ( $i * $i ) > $i ).
tff(decl_416,type,
esk267_3: ( $i * $i * $i ) > $i ).
tff(decl_417,type,
esk268_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_418,type,
esk269_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_419,type,
esk270_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_420,type,
esk271_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_421,type,
esk272_2: ( $i * $i ) > $i ).
tff(decl_422,type,
esk273_2: ( $i * $i ) > $i ).
tff(decl_423,type,
esk274_2: ( $i * $i ) > $i ).
tff(decl_424,type,
esk275_2: ( $i * $i ) > $i ).
tff(decl_425,type,
esk276_3: ( $i * $i * $i ) > $i ).
tff(decl_426,type,
esk277_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_427,type,
esk278_2: ( $i * $i ) > $i ).
tff(decl_428,type,
esk279_2: ( $i * $i ) > $i ).
tff(decl_429,type,
esk280_2: ( $i * $i ) > $i ).
tff(decl_430,type,
esk281_2: ( $i * $i ) > $i ).
tff(decl_431,type,
esk282_2: ( $i * $i ) > $i ).
tff(decl_432,type,
esk283_2: ( $i * $i ) > $i ).
tff(decl_433,type,
esk284_2: ( $i * $i ) > $i ).
tff(decl_434,type,
esk285_3: ( $i * $i * $i ) > $i ).
tff(decl_435,type,
esk286_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_436,type,
esk287_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_437,type,
esk288_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_438,type,
esk289_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_439,type,
esk290_3: ( $i * $i * $i ) > $i ).
tff(decl_440,type,
esk291_3: ( $i * $i * $i ) > $i ).
tff(decl_441,type,
esk292_3: ( $i * $i * $i ) > $i ).
tff(decl_442,type,
esk293_3: ( $i * $i * $i ) > $i ).
tff(decl_443,type,
esk294_3: ( $i * $i * $i ) > $i ).
tff(decl_444,type,
esk295_3: ( $i * $i * $i ) > $i ).
tff(decl_445,type,
esk296_3: ( $i * $i * $i ) > $i ).
tff(decl_446,type,
esk297_3: ( $i * $i * $i ) > $i ).
tff(decl_447,type,
esk298_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_448,type,
esk299_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_449,type,
esk300_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_450,type,
esk301_0: $i ).
tff(decl_451,type,
esk302_0: $i ).
tff(decl_452,type,
esk303_0: $i ).
tff(decl_453,type,
esk304_1: $i > $i ).
tff(decl_454,type,
esk305_2: ( $i * $i ) > $i ).
tff(decl_455,type,
esk306_3: ( $i * $i * $i ) > $i ).
tff(decl_456,type,
esk307_3: ( $i * $i * $i ) > $i ).
tff(decl_457,type,
esk308_3: ( $i * $i * $i ) > $i ).
tff(decl_458,type,
esk309_3: ( $i * $i * $i ) > $i ).
tff(decl_459,type,
esk310_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_460,type,
esk311_2: ( $i * $i ) > $i ).
tff(decl_461,type,
esk312_2: ( $i * $i ) > $i ).
tff(decl_462,type,
esk313_2: ( $i * $i ) > $i ).
tff(decl_463,type,
esk314_2: ( $i * $i ) > $i ).
tff(decl_464,type,
esk315_2: ( $i * $i ) > $i ).
tff(decl_465,type,
esk316_2: ( $i * $i ) > $i ).
tff(decl_466,type,
esk317_3: ( $i * $i * $i ) > $i ).
tff(decl_467,type,
esk318_3: ( $i * $i * $i ) > $i ).
tff(decl_468,type,
esk319_3: ( $i * $i * $i ) > $i ).
tff(decl_469,type,
esk320_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_470,type,
esk321_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_471,type,
esk322_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_472,type,
esk323_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_473,type,
esk324_2: ( $i * $i ) > $i ).
tff(decl_474,type,
esk325_3: ( $i * $i * $i ) > $i ).
tff(decl_475,type,
esk326_3: ( $i * $i * $i ) > $i ).
tff(decl_476,type,
esk327_1: $i > $i ).
tff(decl_477,type,
esk328_2: ( $i * $i ) > $i ).
tff(decl_478,type,
esk329_3: ( $i * $i * $i ) > $i ).
tff(decl_479,type,
esk330_3: ( $i * $i * $i ) > $i ).
tff(decl_480,type,
esk331_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_481,type,
esk332_2: ( $i * $i ) > $i ).
tff(decl_482,type,
esk333_3: ( $i * $i * $i ) > $i ).
tff(decl_483,type,
esk334_2: ( $i * $i ) > $i ).
tff(decl_484,type,
esk335_2: ( $i * $i ) > $i ).
tff(decl_485,type,
esk336_3: ( $i * $i * $i ) > $i ).
tff(decl_486,type,
esk337_3: ( $i * $i * $i ) > $i ).
tff(decl_487,type,
esk338_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_488,type,
esk339_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_489,type,
esk340_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_490,type,
esk341_3: ( $i * $i * $i ) > $i ).
tff(decl_491,type,
esk342_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_492,type,
esk343_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_493,type,
esk344_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_494,type,
esk345_3: ( $i * $i * $i ) > $i ).
tff(decl_495,type,
esk346_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_496,type,
esk347_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_497,type,
esk348_1: $i > $i ).
tff(decl_498,type,
esk349_3: ( $i * $i * $i ) > $i ).
tff(decl_499,type,
esk350_2: ( $i * $i ) > $i ).
tff(decl_500,type,
esk351_3: ( $i * $i * $i ) > $i ).
tff(decl_501,type,
esk352_2: ( $i * $i ) > $i ).
tff(decl_502,type,
esk353_2: ( $i * $i ) > $i ).
tff(decl_503,type,
esk354_2: ( $i * $i ) > $i ).
tff(decl_504,type,
esk355_2: ( $i * $i ) > $i ).
tff(decl_505,type,
esk356_2: ( $i * $i ) > $i ).
tff(decl_506,type,
esk357_2: ( $i * $i ) > $i ).
tff(decl_507,type,
esk358_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_508,type,
esk359_2: ( $i * $i ) > $i ).
tff(decl_509,type,
esk360_3: ( $i * $i * $i ) > $i ).
tff(decl_510,type,
esk361_1: $i > $i ).
tff(decl_511,type,
esk362_1: $i > $i ).
tff(decl_512,type,
esk363_1: $i > $i ).
tff(decl_513,type,
esk364_1: $i > $i ).
tff(decl_514,type,
esk365_1: $i > $i ).
tff(decl_515,type,
esk366_2: ( $i * $i ) > $i ).
tff(decl_516,type,
esk367_2: ( $i * $i ) > $i ).
tff(decl_517,type,
esk368_2: ( $i * $i ) > $i ).
tff(decl_518,type,
esk369_2: ( $i * $i ) > $i ).
tff(decl_519,type,
esk370_3: ( $i * $i * $i ) > $i ).
tff(decl_520,type,
esk371_2: ( $i * $i ) > $i ).
tff(decl_521,type,
esk372_2: ( $i * $i ) > $i ).
tff(decl_522,type,
esk373_2: ( $i * $i ) > $i ).
tff(decl_523,type,
esk374_2: ( $i * $i ) > $i ).
tff(decl_524,type,
esk375_2: ( $i * $i ) > $i ).
tff(decl_525,type,
esk376_3: ( $i * $i * $i ) > $i ).
tff(decl_526,type,
esk377_2: ( $i * $i ) > $i ).
tff(decl_527,type,
esk378_0: $i ).
tff(decl_528,type,
esk379_2: ( $i * $i ) > $i ).
tff(decl_529,type,
esk380_0: $i ).
tff(decl_530,type,
esk381_1: $i > $i ).
tff(decl_531,type,
esk382_2: ( $i * $i ) > $i ).
tff(decl_532,type,
esk383_1: $i > $i ).
tff(decl_533,type,
esk384_2: ( $i * $i ) > $i ).
tff(decl_534,type,
esk385_3: ( $i * $i * $i ) > $i ).
tff(decl_535,type,
esk386_2: ( $i * $i ) > $i ).
tff(decl_536,type,
esk387_1: $i > $i ).
tff(decl_537,type,
esk388_1: $i > $i ).
tff(decl_538,type,
esk389_3: ( $i * $i * $i ) > $i ).
tff(decl_539,type,
esk390_3: ( $i * $i * $i ) > $i ).
tff(decl_540,type,
esk391_2: ( $i * $i ) > $i ).
tff(decl_541,type,
esk392_3: ( $i * $i * $i ) > $i ).
tff(decl_542,type,
esk393_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_543,type,
esk394_3: ( $i * $i * $i ) > $i ).
tff(decl_544,type,
esk395_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_545,type,
esk396_1: $i > $i ).
tff(decl_546,type,
esk397_1: $i > $i ).
tff(decl_547,type,
esk398_1: $i > $i ).
tff(decl_548,type,
esk399_2: ( $i * $i ) > $i ).
tff(decl_549,type,
esk400_1: $i > $i ).
tff(decl_550,type,
esk401_2: ( $i * $i ) > $i ).
tff(decl_551,type,
esk402_2: ( $i * $i ) > $i ).
tff(decl_552,type,
esk403_2: ( $i * $i ) > $i ).
tff(decl_553,type,
esk404_1: $i > $i ).
tff(decl_554,type,
esk405_1: $i > $i ).
tff(decl_555,type,
esk406_2: ( $i * $i ) > $i ).
tff(decl_556,type,
esk407_3: ( $i * $i * $i ) > $i ).
tff(decl_557,type,
esk408_2: ( $i * $i ) > $i ).
tff(decl_558,type,
esk409_2: ( $i * $i ) > $i ).
tff(decl_559,type,
esk410_2: ( $i * $i ) > $i ).
tff(decl_560,type,
esk411_2: ( $i * $i ) > $i ).
tff(decl_561,type,
esk412_2: ( $i * $i ) > $i ).
tff(decl_562,type,
esk413_2: ( $i * $i ) > $i ).
tff(decl_563,type,
esk414_1: $i > $i ).
tff(decl_564,type,
esk415_1: $i > $i ).
tff(decl_565,type,
esk416_0: $i ).
tff(decl_566,type,
esk417_0: $i ).
tff(decl_567,type,
esk418_0: $i ).
tff(decl_568,type,
esk419_3: ( $i * $i * $i ) > $i ).
tff(decl_569,type,
esk420_2: ( $i * $i ) > $i ).
tff(decl_570,type,
esk421_1: $i > $i ).
tff(decl_571,type,
esk422_2: ( $i * $i ) > $i ).
tff(decl_572,type,
esk423_0: $i ).
tff(decl_573,type,
esk424_1: $i > $i ).
tff(decl_574,type,
esk425_0: $i ).
tff(decl_575,type,
esk426_1: $i > $i ).
tff(decl_576,type,
esk427_0: $i ).
tff(decl_577,type,
esk428_1: $i > $i ).
tff(decl_578,type,
esk429_3: ( $i * $i * $i ) > $i ).
tff(decl_579,type,
esk430_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_580,type,
esk431_3: ( $i * $i * $i ) > $i ).
tff(decl_581,type,
esk432_4: ( $i * $i * $i * $i ) > $i ).
fof(t5_connsp_2,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( open_subset(X2,X1)
& in(X3,X2) )
=> point_neighbourhood(X2,X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
fof(d1_connsp_2,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( point_neighbourhood(X3,X1,X2)
<=> in(X2,interior(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_connsp_2) ).
fof(d1_tops_1,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> interior(X1,X2) = subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).
fof(t30_tops_1,lemma,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( open_subset(X2,X1)
<=> closed_subset(subset_complement(the_carrier(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_tops_1) ).
fof(t52_pre_topc,lemma,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( ( closed_subset(X2,X1)
=> topstr_closure(X1,X2) = X2 )
& ( ( topological_space(X1)
& topstr_closure(X1,X2) = X2 )
=> closed_subset(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_pre_topc) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,subset_complement(X1,X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(dt_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> element(subset_complement(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( open_subset(X2,X1)
& in(X3,X2) )
=> point_neighbourhood(X2,X1,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t5_connsp_2])]) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( point_neighbourhood(X3,X1,X2)
<=> in(X2,interior(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_connsp_2]) ).
fof(c_0_9,negated_conjecture,
( ~ empty_carrier(esk416_0)
& topological_space(esk416_0)
& top_str(esk416_0)
& element(esk417_0,powerset(the_carrier(esk416_0)))
& element(esk418_0,the_carrier(esk416_0))
& open_subset(esk417_0,esk416_0)
& in(esk418_0,esk417_0)
& ~ point_neighbourhood(esk417_0,esk416_0,esk418_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,plain,
! [X169,X170,X171] :
( ( ~ point_neighbourhood(X171,X169,X170)
| in(X170,interior(X169,X171))
| ~ element(X171,powerset(the_carrier(X169)))
| ~ element(X170,the_carrier(X169))
| empty_carrier(X169)
| ~ topological_space(X169)
| ~ top_str(X169) )
& ( ~ in(X170,interior(X169,X171))
| point_neighbourhood(X171,X169,X170)
| ~ element(X171,powerset(the_carrier(X169)))
| ~ element(X170,the_carrier(X169))
| empty_carrier(X169)
| ~ topological_space(X169)
| ~ top_str(X169) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_11,negated_conjecture,
~ point_neighbourhood(esk417_0,esk416_0,esk418_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( point_neighbourhood(X3,X2,X1)
| empty_carrier(X2)
| ~ in(X1,interior(X2,X3))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X1,the_carrier(X2))
| ~ topological_space(X2)
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
topological_space(esk416_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
top_str(esk416_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
element(esk417_0,powerset(the_carrier(esk416_0))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
element(esk418_0,the_carrier(esk416_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
~ empty_carrier(esk416_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_18,plain,
! [X255,X256] :
( ~ top_str(X255)
| ~ element(X256,powerset(the_carrier(X255)))
| interior(X255,X256) = subset_complement(the_carrier(X255),topstr_closure(X255,subset_complement(the_carrier(X255),X256))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tops_1])])]) ).
fof(c_0_19,lemma,
! [X1645,X1646] :
( ( ~ open_subset(X1646,X1645)
| closed_subset(subset_complement(the_carrier(X1645),X1646),X1645)
| ~ element(X1646,powerset(the_carrier(X1645)))
| ~ top_str(X1645) )
& ( ~ closed_subset(subset_complement(the_carrier(X1645),X1646),X1645)
| open_subset(X1646,X1645)
| ~ element(X1646,powerset(the_carrier(X1645)))
| ~ top_str(X1645) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t30_tops_1])])])]) ).
cnf(c_0_20,negated_conjecture,
~ in(esk418_0,interior(esk416_0,esk417_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_11,c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_21,plain,
( interior(X1,X2) = subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,lemma,
! [X1773,X1774] :
( ( ~ closed_subset(X1774,X1773)
| topstr_closure(X1773,X1774) = X1774
| ~ element(X1774,powerset(the_carrier(X1773)))
| ~ top_str(X1773) )
& ( ~ topological_space(X1773)
| topstr_closure(X1773,X1774) != X1774
| closed_subset(X1774,X1773)
| ~ element(X1774,powerset(the_carrier(X1773)))
| ~ top_str(X1773) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t52_pre_topc])])])]) ).
cnf(c_0_23,lemma,
( closed_subset(subset_complement(the_carrier(X2),X1),X2)
| ~ open_subset(X1,X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
open_subset(esk417_0,esk416_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
~ in(esk418_0,subset_complement(the_carrier(esk416_0),topstr_closure(esk416_0,subset_complement(the_carrier(esk416_0),esk417_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14]),c_0_15])]) ).
cnf(c_0_26,lemma,
( topstr_closure(X2,X1) = X1
| ~ closed_subset(X1,X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
closed_subset(subset_complement(the_carrier(esk416_0),esk417_0),esk416_0),
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])]) ).
fof(c_0_28,plain,
! [X754,X755] :
( ~ element(X755,powerset(X754))
| subset_complement(X754,subset_complement(X754,X755)) = X755 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
cnf(c_0_29,lemma,
( ~ element(subset_complement(the_carrier(esk416_0),esk417_0),powerset(the_carrier(esk416_0)))
| ~ in(esk418_0,subset_complement(the_carrier(esk416_0),subset_complement(the_carrier(esk416_0),esk417_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_14])]) ).
cnf(c_0_30,plain,
( subset_complement(X2,subset_complement(X2,X1)) = X1
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
in(esk418_0,esk417_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_32,plain,
! [X589,X590] :
( ~ element(X590,powerset(X589))
| element(subset_complement(X589,X590),powerset(X589)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
cnf(c_0_33,lemma,
~ element(subset_complement(the_carrier(esk416_0),esk417_0),powerset(the_carrier(esk416_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_15])]) ).
cnf(c_0_34,plain,
( element(subset_complement(X2,X1),powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU341+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 23 19:33:15 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 25.85/26.08 % Version : CSE_E---1.5
% 25.85/26.08 % Problem : theBenchmark.p
% 25.85/26.08 % Proof found
% 25.85/26.08 % SZS status Theorem for theBenchmark.p
% 25.85/26.08 % SZS output start Proof
% See solution above
% 25.98/26.10 % Total time : 25.426000 s
% 25.98/26.10 % SZS output end Proof
% 25.98/26.10 % Total time : 25.448000 s
%------------------------------------------------------------------------------