TSTP Solution File: SEU320+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU320+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 : n027.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 16:24:25 EDT 2023
% Result : Theorem 1.14s 1.24s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 474
% Syntax : Number of formulae : 498 ( 9 unt; 469 typ; 0 def)
% Number of atoms : 69 ( 9 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 66 ( 26 ~; 24 |; 4 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 901 ( 431 >; 470 *; 0 +; 0 <<)
% Number of predicates : 65 ( 63 usr; 2 prp; 0-3 aty)
% Number of functors : 406 ( 406 usr; 37 con; 0-7 aty)
% Number of variables : 30 ( 0 sgn; 20 !; 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,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
relation_rng: $i > $i ).
tff(decl_84,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_85,type,
empty_set: $i ).
tff(decl_86,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_87,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
join: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
the_L_join: $i > $i ).
tff(decl_90,type,
apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
pair_first: $i > $i ).
tff(decl_92,type,
succ: $i > $i ).
tff(decl_93,type,
singleton: $i > $i ).
tff(decl_94,type,
topological_space: $i > $o ).
tff(decl_95,type,
the_topology: $i > $i ).
tff(decl_96,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_97,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_98,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_99,type,
set_meet: $i > $i ).
tff(decl_100,type,
fiber: ( $i * $i ) > $i ).
tff(decl_101,type,
inclusion_relation: $i > $i ).
tff(decl_102,type,
meet: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
the_L_meet: $i > $i ).
tff(decl_104,type,
pair_second: $i > $i ).
tff(decl_105,type,
one_sorted_str: $i > $o ).
tff(decl_106,type,
empty_carrier_subset: $i > $i ).
tff(decl_107,type,
well_founded_relation: $i > $o ).
tff(decl_108,type,
below: ( $i * $i * $i ) > $o ).
tff(decl_109,type,
cast_as_carrier_subset: $i > $i ).
tff(decl_110,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_111,type,
cast_to_subset: $i > $i ).
tff(decl_112,type,
union: $i > $i ).
tff(decl_113,type,
well_ordering: $i > $o ).
tff(decl_114,type,
reflexive: $i > $o ).
tff(decl_115,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_116,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_117,type,
being_limit_ordinal: $i > $o ).
tff(decl_118,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_119,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_120,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_121,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_123,type,
relation_inverse: $i > $i ).
tff(decl_124,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_125,type,
latt_str: $i > $o ).
tff(decl_126,type,
meet_absorbing: $i > $o ).
tff(decl_127,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_128,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_129,type,
function_inverse: $i > $i ).
tff(decl_130,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_131,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_132,type,
relation_empty_yielding: $i > $o ).
tff(decl_133,type,
apply_binary: ( $i * $i * $i ) > $i ).
tff(decl_134,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_135,type,
epred1_0: $o ).
tff(decl_136,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_137,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_138,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_139,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_141,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_142,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_143,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_145,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_146,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_149,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_150,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_151,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_152,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_154,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_155,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_156,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_157,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_158,type,
esk21_1: $i > $i ).
tff(decl_159,type,
esk22_1: $i > $i ).
tff(decl_160,type,
esk23_1: $i > $i ).
tff(decl_161,type,
esk24_1: $i > $i ).
tff(decl_162,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk27_1: $i > $i ).
tff(decl_165,type,
esk28_1: $i > $i ).
tff(decl_166,type,
esk29_1: $i > $i ).
tff(decl_167,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_169,type,
esk32_1: $i > $i ).
tff(decl_170,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_171,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_172,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_175,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_178,type,
esk41_1: $i > $i ).
tff(decl_179,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_181,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk45_1: $i > $i ).
tff(decl_183,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_184,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_185,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_186,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_187,type,
esk50_1: $i > $i ).
tff(decl_188,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_190,type,
esk53_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_191,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_192,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_193,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_194,type,
esk57_1: $i > $i ).
tff(decl_195,type,
esk58_1: $i > $i ).
tff(decl_196,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_197,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_198,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_199,type,
esk62_3: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_201,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_202,type,
esk65_3: ( $i * $i * $i ) > $i ).
tff(decl_203,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_204,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_205,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_206,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_207,type,
esk70_3: ( $i * $i * $i ) > $i ).
tff(decl_208,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_211,type,
esk74_3: ( $i * $i * $i ) > $i ).
tff(decl_212,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_213,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_214,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_215,type,
esk78_1: $i > $i ).
tff(decl_216,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_217,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_218,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_219,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_220,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_221,type,
esk84_2: ( $i * $i ) > $i ).
tff(decl_222,type,
esk85_2: ( $i * $i ) > $i ).
tff(decl_223,type,
esk86_3: ( $i * $i * $i ) > $i ).
tff(decl_224,type,
esk87_3: ( $i * $i * $i ) > $i ).
tff(decl_225,type,
esk88_1: $i > $i ).
tff(decl_226,type,
esk89_1: $i > $i ).
tff(decl_227,type,
esk90_1: $i > $i ).
tff(decl_228,type,
esk91_1: $i > $i ).
tff(decl_229,type,
esk92_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_230,type,
esk93_3: ( $i * $i * $i ) > $i ).
tff(decl_231,type,
esk94_3: ( $i * $i * $i ) > $i ).
tff(decl_232,type,
esk95_3: ( $i * $i * $i ) > $i ).
tff(decl_233,type,
esk96_2: ( $i * $i ) > $i ).
tff(decl_234,type,
esk97_2: ( $i * $i ) > $i ).
tff(decl_235,type,
esk98_2: ( $i * $i ) > $i ).
tff(decl_236,type,
esk99_3: ( $i * $i * $i ) > $i ).
tff(decl_237,type,
esk100_0: $i ).
tff(decl_238,type,
esk101_0: $i ).
tff(decl_239,type,
esk102_0: $i ).
tff(decl_240,type,
esk103_0: $i ).
tff(decl_241,type,
esk104_0: $i ).
tff(decl_242,type,
esk105_2: ( $i * $i ) > $i ).
tff(decl_243,type,
esk106_1: $i > $i ).
tff(decl_244,type,
esk107_2: ( $i * $i ) > $i ).
tff(decl_245,type,
esk108_1: $i > $i ).
tff(decl_246,type,
esk109_1: $i > $i ).
tff(decl_247,type,
esk110_1: $i > $i ).
tff(decl_248,type,
esk111_1: $i > $i ).
tff(decl_249,type,
esk112_2: ( $i * $i ) > $i ).
tff(decl_250,type,
esk113_1: $i > $i ).
tff(decl_251,type,
esk114_1: $i > $i ).
tff(decl_252,type,
esk115_1: $i > $i ).
tff(decl_253,type,
esk116_1: $i > $i ).
tff(decl_254,type,
esk117_2: ( $i * $i ) > $i ).
tff(decl_255,type,
esk118_0: $i ).
tff(decl_256,type,
esk119_0: $i ).
tff(decl_257,type,
esk120_0: $i ).
tff(decl_258,type,
esk121_2: ( $i * $i ) > $i ).
tff(decl_259,type,
esk122_0: $i ).
tff(decl_260,type,
esk123_0: $i ).
tff(decl_261,type,
esk124_0: $i ).
tff(decl_262,type,
esk125_0: $i ).
tff(decl_263,type,
esk126_0: $i ).
tff(decl_264,type,
esk127_1: $i > $i ).
tff(decl_265,type,
esk128_0: $i ).
tff(decl_266,type,
esk129_1: $i > $i ).
tff(decl_267,type,
esk130_0: $i ).
tff(decl_268,type,
esk131_0: $i ).
tff(decl_269,type,
esk132_2: ( $i * $i ) > $i ).
tff(decl_270,type,
esk133_0: $i ).
tff(decl_271,type,
esk134_1: $i > $i ).
tff(decl_272,type,
esk135_0: $i ).
tff(decl_273,type,
esk136_1: $i > $i ).
tff(decl_274,type,
esk137_0: $i ).
tff(decl_275,type,
esk138_0: $i ).
tff(decl_276,type,
esk139_0: $i ).
tff(decl_277,type,
esk140_0: $i ).
tff(decl_278,type,
esk141_0: $i ).
tff(decl_279,type,
esk142_1: $i > $i ).
tff(decl_280,type,
esk143_1: $i > $i ).
tff(decl_281,type,
esk144_2: ( $i * $i ) > $i ).
tff(decl_282,type,
esk145_2: ( $i * $i ) > $i ).
tff(decl_283,type,
esk146_2: ( $i * $i ) > $i ).
tff(decl_284,type,
esk147_2: ( $i * $i ) > $i ).
tff(decl_285,type,
esk148_2: ( $i * $i ) > $i ).
tff(decl_286,type,
esk149_2: ( $i * $i ) > $i ).
tff(decl_287,type,
esk150_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_288,type,
esk151_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_289,type,
esk152_1: $i > $i ).
tff(decl_290,type,
esk153_1: $i > $i ).
tff(decl_291,type,
esk154_1: $i > $i ).
tff(decl_292,type,
esk155_1: $i > $i ).
tff(decl_293,type,
esk156_1: $i > $i ).
tff(decl_294,type,
esk157_0: $i ).
tff(decl_295,type,
esk158_2: ( $i * $i ) > $i ).
tff(decl_296,type,
esk159_0: $i ).
tff(decl_297,type,
esk160_1: $i > $i ).
tff(decl_298,type,
esk161_2: ( $i * $i ) > $i ).
tff(decl_299,type,
esk162_3: ( $i * $i * $i ) > $i ).
tff(decl_300,type,
esk163_2: ( $i * $i ) > $i ).
tff(decl_301,type,
esk164_2: ( $i * $i ) > $i ).
tff(decl_302,type,
esk165_2: ( $i * $i ) > $i ).
tff(decl_303,type,
esk166_2: ( $i * $i ) > $i ).
tff(decl_304,type,
esk167_2: ( $i * $i ) > $i ).
tff(decl_305,type,
esk168_2: ( $i * $i ) > $i ).
tff(decl_306,type,
esk169_3: ( $i * $i * $i ) > $i ).
tff(decl_307,type,
esk170_3: ( $i * $i * $i ) > $i ).
tff(decl_308,type,
esk171_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_309,type,
esk172_2: ( $i * $i ) > $i ).
tff(decl_310,type,
esk173_2: ( $i * $i ) > $i ).
tff(decl_311,type,
esk174_2: ( $i * $i ) > $i ).
tff(decl_312,type,
esk175_2: ( $i * $i ) > $i ).
tff(decl_313,type,
esk176_2: ( $i * $i ) > $i ).
tff(decl_314,type,
esk177_2: ( $i * $i ) > $i ).
tff(decl_315,type,
esk178_2: ( $i * $i ) > $i ).
tff(decl_316,type,
esk179_2: ( $i * $i ) > $i ).
tff(decl_317,type,
esk180_2: ( $i * $i ) > $i ).
tff(decl_318,type,
esk181_3: ( $i * $i * $i ) > $i ).
tff(decl_319,type,
esk182_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_320,type,
esk183_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_321,type,
esk184_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_322,type,
esk185_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_323,type,
esk186_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_324,type,
esk187_1: $i > $i ).
tff(decl_325,type,
esk188_1: $i > $i ).
tff(decl_326,type,
esk189_1: $i > $i ).
tff(decl_327,type,
esk190_1: $i > $i ).
tff(decl_328,type,
esk191_2: ( $i * $i ) > $i ).
tff(decl_329,type,
esk192_1: $i > $i ).
tff(decl_330,type,
esk193_1: $i > $i ).
tff(decl_331,type,
esk194_1: $i > $i ).
tff(decl_332,type,
esk195_1: $i > $i ).
tff(decl_333,type,
esk196_1: $i > $i ).
tff(decl_334,type,
esk197_1: $i > $i ).
tff(decl_335,type,
esk198_1: $i > $i ).
tff(decl_336,type,
esk199_2: ( $i * $i ) > $i ).
tff(decl_337,type,
esk200_3: ( $i * $i * $i ) > $i ).
tff(decl_338,type,
esk201_3: ( $i * $i * $i ) > $i ).
tff(decl_339,type,
esk202_3: ( $i * $i * $i ) > $i ).
tff(decl_340,type,
esk203_1: $i > $i ).
tff(decl_341,type,
esk204_1: $i > $i ).
tff(decl_342,type,
esk205_1: $i > $i ).
tff(decl_343,type,
esk206_1: $i > $i ).
tff(decl_344,type,
esk207_2: ( $i * $i ) > $i ).
tff(decl_345,type,
esk208_2: ( $i * $i ) > $i ).
tff(decl_346,type,
esk209_3: ( $i * $i * $i ) > $i ).
tff(decl_347,type,
esk210_3: ( $i * $i * $i ) > $i ).
tff(decl_348,type,
esk211_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_349,type,
esk212_2: ( $i * $i ) > $i ).
tff(decl_350,type,
esk213_2: ( $i * $i ) > $i ).
tff(decl_351,type,
esk214_2: ( $i * $i ) > $i ).
tff(decl_352,type,
esk215_2: ( $i * $i ) > $i ).
tff(decl_353,type,
esk216_2: ( $i * $i ) > $i ).
tff(decl_354,type,
esk217_2: ( $i * $i ) > $i ).
tff(decl_355,type,
esk218_3: ( $i * $i * $i ) > $i ).
tff(decl_356,type,
esk219_3: ( $i * $i * $i ) > $i ).
tff(decl_357,type,
esk220_2: ( $i * $i ) > $i ).
tff(decl_358,type,
esk221_2: ( $i * $i ) > $i ).
tff(decl_359,type,
esk222_2: ( $i * $i ) > $i ).
tff(decl_360,type,
esk223_2: ( $i * $i ) > $i ).
tff(decl_361,type,
esk224_3: ( $i * $i * $i ) > $i ).
tff(decl_362,type,
esk225_2: ( $i * $i ) > $i ).
tff(decl_363,type,
esk226_2: ( $i * $i ) > $i ).
tff(decl_364,type,
esk227_2: ( $i * $i ) > $i ).
tff(decl_365,type,
esk228_2: ( $i * $i ) > $i ).
tff(decl_366,type,
esk229_2: ( $i * $i ) > $i ).
tff(decl_367,type,
esk230_2: ( $i * $i ) > $i ).
tff(decl_368,type,
esk231_3: ( $i * $i * $i ) > $i ).
tff(decl_369,type,
esk232_3: ( $i * $i * $i ) > $i ).
tff(decl_370,type,
esk233_3: ( $i * $i * $i ) > $i ).
tff(decl_371,type,
esk234_3: ( $i * $i * $i ) > $i ).
tff(decl_372,type,
esk235_3: ( $i * $i * $i ) > $i ).
tff(decl_373,type,
esk236_3: ( $i * $i * $i ) > $i ).
tff(decl_374,type,
esk237_3: ( $i * $i * $i ) > $i ).
tff(decl_375,type,
esk238_3: ( $i * $i * $i ) > $i ).
tff(decl_376,type,
esk239_3: ( $i * $i * $i ) > $i ).
tff(decl_377,type,
esk240_3: ( $i * $i * $i ) > $i ).
tff(decl_378,type,
esk241_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_379,type,
esk242_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_380,type,
esk243_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_381,type,
esk244_0: $i ).
tff(decl_382,type,
esk245_0: $i ).
tff(decl_383,type,
esk246_0: $i ).
tff(decl_384,type,
esk247_1: $i > $i ).
tff(decl_385,type,
esk248_2: ( $i * $i ) > $i ).
tff(decl_386,type,
esk249_3: ( $i * $i * $i ) > $i ).
tff(decl_387,type,
esk250_3: ( $i * $i * $i ) > $i ).
tff(decl_388,type,
esk251_3: ( $i * $i * $i ) > $i ).
tff(decl_389,type,
esk252_3: ( $i * $i * $i ) > $i ).
tff(decl_390,type,
esk253_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_391,type,
esk254_2: ( $i * $i ) > $i ).
tff(decl_392,type,
esk255_2: ( $i * $i ) > $i ).
tff(decl_393,type,
esk256_2: ( $i * $i ) > $i ).
tff(decl_394,type,
esk257_2: ( $i * $i ) > $i ).
tff(decl_395,type,
esk258_2: ( $i * $i ) > $i ).
tff(decl_396,type,
esk259_2: ( $i * $i ) > $i ).
tff(decl_397,type,
esk260_3: ( $i * $i * $i ) > $i ).
tff(decl_398,type,
esk261_3: ( $i * $i * $i ) > $i ).
tff(decl_399,type,
esk262_3: ( $i * $i * $i ) > $i ).
tff(decl_400,type,
esk263_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_401,type,
esk264_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_402,type,
esk265_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_403,type,
esk266_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_404,type,
esk267_2: ( $i * $i ) > $i ).
tff(decl_405,type,
esk268_3: ( $i * $i * $i ) > $i ).
tff(decl_406,type,
esk269_3: ( $i * $i * $i ) > $i ).
tff(decl_407,type,
esk270_1: $i > $i ).
tff(decl_408,type,
esk271_2: ( $i * $i ) > $i ).
tff(decl_409,type,
esk272_3: ( $i * $i * $i ) > $i ).
tff(decl_410,type,
esk273_3: ( $i * $i * $i ) > $i ).
tff(decl_411,type,
esk274_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_412,type,
esk275_2: ( $i * $i ) > $i ).
tff(decl_413,type,
esk276_3: ( $i * $i * $i ) > $i ).
tff(decl_414,type,
esk277_2: ( $i * $i ) > $i ).
tff(decl_415,type,
esk278_2: ( $i * $i ) > $i ).
tff(decl_416,type,
esk279_3: ( $i * $i * $i ) > $i ).
tff(decl_417,type,
esk280_3: ( $i * $i * $i ) > $i ).
tff(decl_418,type,
esk281_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_419,type,
esk282_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_420,type,
esk283_1: $i > $i ).
tff(decl_421,type,
esk284_3: ( $i * $i * $i ) > $i ).
tff(decl_422,type,
esk285_2: ( $i * $i ) > $i ).
tff(decl_423,type,
esk286_3: ( $i * $i * $i ) > $i ).
tff(decl_424,type,
esk287_2: ( $i * $i ) > $i ).
tff(decl_425,type,
esk288_2: ( $i * $i ) > $i ).
tff(decl_426,type,
esk289_2: ( $i * $i ) > $i ).
tff(decl_427,type,
esk290_2: ( $i * $i ) > $i ).
tff(decl_428,type,
esk291_2: ( $i * $i ) > $i ).
tff(decl_429,type,
esk292_2: ( $i * $i ) > $i ).
tff(decl_430,type,
esk293_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_431,type,
esk294_2: ( $i * $i ) > $i ).
tff(decl_432,type,
esk295_3: ( $i * $i * $i ) > $i ).
tff(decl_433,type,
esk296_1: $i > $i ).
tff(decl_434,type,
esk297_1: $i > $i ).
tff(decl_435,type,
esk298_1: $i > $i ).
tff(decl_436,type,
esk299_1: $i > $i ).
tff(decl_437,type,
esk300_1: $i > $i ).
tff(decl_438,type,
esk301_0: $i ).
tff(decl_439,type,
esk302_2: ( $i * $i ) > $i ).
tff(decl_440,type,
esk303_0: $i ).
tff(decl_441,type,
esk304_1: $i > $i ).
tff(decl_442,type,
esk305_2: ( $i * $i ) > $i ).
tff(decl_443,type,
esk306_1: $i > $i ).
tff(decl_444,type,
esk307_2: ( $i * $i ) > $i ).
tff(decl_445,type,
esk308_3: ( $i * $i * $i ) > $i ).
tff(decl_446,type,
esk309_2: ( $i * $i ) > $i ).
tff(decl_447,type,
esk310_1: $i > $i ).
tff(decl_448,type,
esk311_3: ( $i * $i * $i ) > $i ).
tff(decl_449,type,
esk312_3: ( $i * $i * $i ) > $i ).
tff(decl_450,type,
esk313_2: ( $i * $i ) > $i ).
tff(decl_451,type,
esk314_3: ( $i * $i * $i ) > $i ).
tff(decl_452,type,
esk315_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_453,type,
esk316_3: ( $i * $i * $i ) > $i ).
tff(decl_454,type,
esk317_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_455,type,
esk318_1: $i > $i ).
tff(decl_456,type,
esk319_1: $i > $i ).
tff(decl_457,type,
esk320_1: $i > $i ).
tff(decl_458,type,
esk321_2: ( $i * $i ) > $i ).
tff(decl_459,type,
esk322_0: $i ).
tff(decl_460,type,
esk323_0: $i ).
tff(decl_461,type,
esk324_1: $i > $i ).
tff(decl_462,type,
esk325_2: ( $i * $i ) > $i ).
tff(decl_463,type,
esk326_2: ( $i * $i ) > $i ).
tff(decl_464,type,
esk327_2: ( $i * $i ) > $i ).
tff(decl_465,type,
esk328_1: $i > $i ).
tff(decl_466,type,
esk329_1: $i > $i ).
tff(decl_467,type,
esk330_2: ( $i * $i ) > $i ).
tff(decl_468,type,
esk331_3: ( $i * $i * $i ) > $i ).
tff(decl_469,type,
esk332_2: ( $i * $i ) > $i ).
tff(decl_470,type,
esk333_2: ( $i * $i ) > $i ).
tff(decl_471,type,
esk334_2: ( $i * $i ) > $i ).
tff(decl_472,type,
esk335_2: ( $i * $i ) > $i ).
tff(decl_473,type,
esk336_2: ( $i * $i ) > $i ).
tff(decl_474,type,
esk337_2: ( $i * $i ) > $i ).
tff(decl_475,type,
esk338_1: $i > $i ).
tff(decl_476,type,
esk339_1: $i > $i ).
tff(decl_477,type,
esk340_3: ( $i * $i * $i ) > $i ).
tff(decl_478,type,
esk341_2: ( $i * $i ) > $i ).
tff(decl_479,type,
esk342_1: $i > $i ).
tff(decl_480,type,
esk343_2: ( $i * $i ) > $i ).
tff(decl_481,type,
esk344_0: $i ).
tff(decl_482,type,
esk345_1: $i > $i ).
tff(decl_483,type,
esk346_0: $i ).
tff(decl_484,type,
esk347_1: $i > $i ).
tff(decl_485,type,
esk348_0: $i ).
tff(decl_486,type,
esk349_1: $i > $i ).
tff(decl_487,type,
esk350_3: ( $i * $i * $i ) > $i ).
tff(decl_488,type,
esk351_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_489,type,
esk352_3: ( $i * $i * $i ) > $i ).
tff(decl_490,type,
esk353_4: ( $i * $i * $i * $i ) > $i ).
fof(t30_tops_1,conjecture,
! [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(d5_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
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(t29_tops_1,lemma,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( closed_subset(X2,X1)
<=> open_subset(subset_complement(the_carrier(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( open_subset(X2,X1)
<=> closed_subset(subset_complement(the_carrier(X1),X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[t30_tops_1]) ).
fof(c_0_6,plain,
! [X456,X457] :
( ~ element(X457,powerset(X456))
| subset_complement(X456,X457) = set_difference(X456,X457) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_subset_1])]) ).
fof(c_0_7,negated_conjecture,
( top_str(esk322_0)
& element(esk323_0,powerset(the_carrier(esk322_0)))
& ( ~ open_subset(esk323_0,esk322_0)
| ~ closed_subset(subset_complement(the_carrier(esk322_0),esk323_0),esk322_0) )
& ( open_subset(esk323_0,esk322_0)
| closed_subset(subset_complement(the_carrier(esk322_0),esk323_0),esk322_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X704,X705] :
( ~ element(X705,powerset(X704))
| subset_complement(X704,subset_complement(X704,X705)) = X705 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
fof(c_0_9,plain,
! [X557,X558] :
( ~ element(X558,powerset(X557))
| element(subset_complement(X557,X558),powerset(X557)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
cnf(c_0_10,plain,
( subset_complement(X2,X1) = set_difference(X2,X1)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
element(esk323_0,powerset(the_carrier(esk322_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( subset_complement(X2,subset_complement(X2,X1)) = X1
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,lemma,
! [X1397,X1398] :
( ( ~ closed_subset(X1398,X1397)
| open_subset(subset_complement(the_carrier(X1397),X1398),X1397)
| ~ element(X1398,powerset(the_carrier(X1397)))
| ~ top_str(X1397) )
& ( ~ open_subset(subset_complement(the_carrier(X1397),X1398),X1397)
| closed_subset(X1398,X1397)
| ~ element(X1398,powerset(the_carrier(X1397)))
| ~ top_str(X1397) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t29_tops_1])])])]) ).
cnf(c_0_14,plain,
( element(subset_complement(X2,X1),powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
subset_complement(the_carrier(esk322_0),esk323_0) = set_difference(the_carrier(esk322_0),esk323_0),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
subset_complement(the_carrier(esk322_0),subset_complement(the_carrier(esk322_0),esk323_0)) = esk323_0,
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( open_subset(esk323_0,esk322_0)
| closed_subset(subset_complement(the_carrier(esk322_0),esk323_0),esk322_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
( ~ open_subset(esk323_0,esk322_0)
| ~ closed_subset(subset_complement(the_carrier(esk322_0),esk323_0),esk322_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,lemma,
( closed_subset(X2,X1)
| ~ open_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
element(set_difference(the_carrier(esk322_0),esk323_0),powerset(the_carrier(esk322_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
subset_complement(the_carrier(esk322_0),set_difference(the_carrier(esk322_0),esk323_0)) = esk323_0,
inference(rw,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
top_str(esk322_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( closed_subset(set_difference(the_carrier(esk322_0),esk323_0),esk322_0)
| open_subset(esk323_0,esk322_0) ),
inference(rw,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( ~ closed_subset(set_difference(the_carrier(esk322_0),esk323_0),esk322_0)
| ~ open_subset(esk323_0,esk322_0) ),
inference(rw,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_25,negated_conjecture,
closed_subset(set_difference(the_carrier(esk322_0),esk323_0),esk322_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_26,lemma,
( open_subset(subset_complement(the_carrier(X2),X1),X2)
| ~ closed_subset(X1,X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_27,negated_conjecture,
~ open_subset(esk323_0,esk322_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_28,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_25]),c_0_21]),c_0_22]),c_0_20])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU320+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 21:44:16 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 1.14/1.24 % Version : CSE_E---1.5
% 1.14/1.24 % Problem : theBenchmark.p
% 1.14/1.24 % Proof found
% 1.14/1.24 % SZS status Theorem for theBenchmark.p
% 1.14/1.24 % SZS output start Proof
% See solution above
% 1.23/1.26 % Total time : 0.669000 s
% 1.23/1.26 % SZS output end Proof
% 1.23/1.26 % Total time : 0.687000 s
%------------------------------------------------------------------------------