TSTP Solution File: SEU305+2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU305+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 : n026.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 16:24:17 EDT 2023
% Result : Theorem 2.94s 3.07s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 425
% Syntax : Number of formulae : 452 ( 13 unt; 421 typ; 0 def)
% Number of atoms : 121 ( 24 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 134 ( 44 ~; 38 |; 32 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 814 ( 384 >; 430 *; 0 +; 0 <<)
% Number of predicates : 52 ( 50 usr; 2 prp; 0-3 aty)
% Number of functors : 371 ( 371 usr; 36 con; 0-7 aty)
% Number of variables : 45 ( 0 sgn; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_24,type,
ordinal: $i > $o ).
tff(decl_25,type,
element: ( $i * $i ) > $o ).
tff(decl_26,type,
epsilon_transitive: $i > $o ).
tff(decl_27,type,
epsilon_connected: $i > $o ).
tff(decl_28,type,
empty: $i > $o ).
tff(decl_29,type,
finite: $i > $o ).
tff(decl_30,type,
preboolean: $i > $o ).
tff(decl_31,type,
cup_closed: $i > $o ).
tff(decl_32,type,
diff_closed: $i > $o ).
tff(decl_33,type,
function: $i > $o ).
tff(decl_34,type,
relation: $i > $o ).
tff(decl_35,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_36,type,
powerset: $i > $i ).
tff(decl_37,type,
natural: $i > $o ).
tff(decl_38,type,
one_to_one: $i > $o ).
tff(decl_39,type,
omega: $i ).
tff(decl_40,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_41,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_42,type,
empty_carrier: $i > $o ).
tff(decl_43,type,
join_commutative: $i > $o ).
tff(decl_44,type,
join_semilatt_str: $i > $o ).
tff(decl_45,type,
the_carrier: $i > $i ).
tff(decl_46,type,
join_commut: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_48,type,
meet_commutative: $i > $o ).
tff(decl_49,type,
meet_semilatt_str: $i > $o ).
tff(decl_50,type,
meet_commut: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_52,type,
identity_relation: $i > $i ).
tff(decl_53,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_54,type,
subset: ( $i * $i ) > $o ).
tff(decl_55,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_56,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_57,type,
relation_dom: $i > $i ).
tff(decl_58,type,
apply: ( $i * $i ) > $i ).
tff(decl_59,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_60,type,
antisymmetric: $i > $o ).
tff(decl_61,type,
relation_field: $i > $i ).
tff(decl_62,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_63,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_64,type,
connected: $i > $o ).
tff(decl_65,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_66,type,
transitive: $i > $o ).
tff(decl_67,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_68,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
relation_rng: $i > $i ).
tff(decl_70,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
empty_set: $i ).
tff(decl_72,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
join: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
the_L_join: $i > $i ).
tff(decl_76,type,
apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
pair_first: $i > $i ).
tff(decl_78,type,
succ: $i > $i ).
tff(decl_79,type,
singleton: $i > $i ).
tff(decl_80,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_81,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_82,type,
set_meet: $i > $i ).
tff(decl_83,type,
fiber: ( $i * $i ) > $i ).
tff(decl_84,type,
inclusion_relation: $i > $i ).
tff(decl_85,type,
meet: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
the_L_meet: $i > $i ).
tff(decl_87,type,
pair_second: $i > $i ).
tff(decl_88,type,
well_founded_relation: $i > $o ).
tff(decl_89,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_90,type,
below: ( $i * $i * $i ) > $o ).
tff(decl_91,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_92,type,
cast_to_subset: $i > $i ).
tff(decl_93,type,
union: $i > $i ).
tff(decl_94,type,
well_ordering: $i > $o ).
tff(decl_95,type,
reflexive: $i > $o ).
tff(decl_96,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_97,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_98,type,
being_limit_ordinal: $i > $o ).
tff(decl_99,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_100,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_101,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_102,type,
relation_inverse: $i > $i ).
tff(decl_103,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_104,type,
latt_str: $i > $o ).
tff(decl_105,type,
meet_absorbing: $i > $o ).
tff(decl_106,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_107,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_108,type,
function_inverse: $i > $i ).
tff(decl_109,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_111,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_112,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
one_sorted_str: $i > $o ).
tff(decl_114,type,
relation_empty_yielding: $i > $o ).
tff(decl_115,type,
apply_binary: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_117,type,
epred1_0: $o ).
tff(decl_118,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_119,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_120,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_124,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_126,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_127,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_128,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_129,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_131,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_132,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_133,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_134,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_136,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_137,type,
esk18_1: $i > $i ).
tff(decl_138,type,
esk19_1: $i > $i ).
tff(decl_139,type,
esk20_1: $i > $i ).
tff(decl_140,type,
esk21_1: $i > $i ).
tff(decl_141,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_142,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_144,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_145,type,
esk26_1: $i > $i ).
tff(decl_146,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk35_1: $i > $i ).
tff(decl_155,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_156,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk39_1: $i > $i ).
tff(decl_159,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_161,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_162,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk44_1: $i > $i ).
tff(decl_164,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_165,type,
esk46_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_166,type,
esk47_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_170,type,
esk51_1: $i > $i ).
tff(decl_171,type,
esk52_1: $i > $i ).
tff(decl_172,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_175,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_178,type,
esk59_3: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_181,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_184,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_185,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_187,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_188,type,
esk69_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_190,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_191,type,
esk72_1: $i > $i ).
tff(decl_192,type,
esk73_3: ( $i * $i * $i ) > $i ).
tff(decl_193,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_194,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_195,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_196,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_197,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_198,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_199,type,
esk80_3: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
esk81_3: ( $i * $i * $i ) > $i ).
tff(decl_201,type,
esk82_1: $i > $i ).
tff(decl_202,type,
esk83_1: $i > $i ).
tff(decl_203,type,
esk84_1: $i > $i ).
tff(decl_204,type,
esk85_1: $i > $i ).
tff(decl_205,type,
esk86_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_206,type,
esk87_3: ( $i * $i * $i ) > $i ).
tff(decl_207,type,
esk88_3: ( $i * $i * $i ) > $i ).
tff(decl_208,type,
esk89_3: ( $i * $i * $i ) > $i ).
tff(decl_209,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk91_2: ( $i * $i ) > $i ).
tff(decl_211,type,
esk92_2: ( $i * $i ) > $i ).
tff(decl_212,type,
esk93_3: ( $i * $i * $i ) > $i ).
tff(decl_213,type,
esk94_0: $i ).
tff(decl_214,type,
esk95_0: $i ).
tff(decl_215,type,
esk96_0: $i ).
tff(decl_216,type,
esk97_0: $i ).
tff(decl_217,type,
esk98_2: ( $i * $i ) > $i ).
tff(decl_218,type,
esk99_1: $i > $i ).
tff(decl_219,type,
esk100_2: ( $i * $i ) > $i ).
tff(decl_220,type,
esk101_1: $i > $i ).
tff(decl_221,type,
esk102_1: $i > $i ).
tff(decl_222,type,
esk103_1: $i > $i ).
tff(decl_223,type,
esk104_1: $i > $i ).
tff(decl_224,type,
esk105_2: ( $i * $i ) > $i ).
tff(decl_225,type,
esk106_1: $i > $i ).
tff(decl_226,type,
esk107_1: $i > $i ).
tff(decl_227,type,
esk108_1: $i > $i ).
tff(decl_228,type,
esk109_1: $i > $i ).
tff(decl_229,type,
esk110_2: ( $i * $i ) > $i ).
tff(decl_230,type,
esk111_0: $i ).
tff(decl_231,type,
esk112_0: $i ).
tff(decl_232,type,
esk113_0: $i ).
tff(decl_233,type,
esk114_2: ( $i * $i ) > $i ).
tff(decl_234,type,
esk115_0: $i ).
tff(decl_235,type,
esk116_0: $i ).
tff(decl_236,type,
esk117_0: $i ).
tff(decl_237,type,
esk118_0: $i ).
tff(decl_238,type,
esk119_1: $i > $i ).
tff(decl_239,type,
esk120_0: $i ).
tff(decl_240,type,
esk121_1: $i > $i ).
tff(decl_241,type,
esk122_0: $i ).
tff(decl_242,type,
esk123_0: $i ).
tff(decl_243,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_244,type,
esk125_0: $i ).
tff(decl_245,type,
esk126_1: $i > $i ).
tff(decl_246,type,
esk127_0: $i ).
tff(decl_247,type,
esk128_1: $i > $i ).
tff(decl_248,type,
esk129_0: $i ).
tff(decl_249,type,
esk130_0: $i ).
tff(decl_250,type,
esk131_0: $i ).
tff(decl_251,type,
esk132_0: $i ).
tff(decl_252,type,
esk133_0: $i ).
tff(decl_253,type,
esk134_1: $i > $i ).
tff(decl_254,type,
esk135_2: ( $i * $i ) > $i ).
tff(decl_255,type,
esk136_2: ( $i * $i ) > $i ).
tff(decl_256,type,
esk137_2: ( $i * $i ) > $i ).
tff(decl_257,type,
esk138_2: ( $i * $i ) > $i ).
tff(decl_258,type,
esk139_2: ( $i * $i ) > $i ).
tff(decl_259,type,
esk140_2: ( $i * $i ) > $i ).
tff(decl_260,type,
esk141_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_261,type,
esk142_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_262,type,
esk143_1: $i > $i ).
tff(decl_263,type,
esk144_1: $i > $i ).
tff(decl_264,type,
esk145_1: $i > $i ).
tff(decl_265,type,
esk146_1: $i > $i ).
tff(decl_266,type,
esk147_1: $i > $i ).
tff(decl_267,type,
esk148_0: $i ).
tff(decl_268,type,
esk149_2: ( $i * $i ) > $i ).
tff(decl_269,type,
esk150_0: $i ).
tff(decl_270,type,
esk151_1: $i > $i ).
tff(decl_271,type,
esk152_2: ( $i * $i ) > $i ).
tff(decl_272,type,
esk153_3: ( $i * $i * $i ) > $i ).
tff(decl_273,type,
esk154_2: ( $i * $i ) > $i ).
tff(decl_274,type,
esk155_2: ( $i * $i ) > $i ).
tff(decl_275,type,
esk156_2: ( $i * $i ) > $i ).
tff(decl_276,type,
esk157_2: ( $i * $i ) > $i ).
tff(decl_277,type,
esk158_2: ( $i * $i ) > $i ).
tff(decl_278,type,
esk159_2: ( $i * $i ) > $i ).
tff(decl_279,type,
esk160_3: ( $i * $i * $i ) > $i ).
tff(decl_280,type,
esk161_3: ( $i * $i * $i ) > $i ).
tff(decl_281,type,
esk162_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_282,type,
esk163_2: ( $i * $i ) > $i ).
tff(decl_283,type,
esk164_2: ( $i * $i ) > $i ).
tff(decl_284,type,
esk165_2: ( $i * $i ) > $i ).
tff(decl_285,type,
esk166_2: ( $i * $i ) > $i ).
tff(decl_286,type,
esk167_2: ( $i * $i ) > $i ).
tff(decl_287,type,
esk168_2: ( $i * $i ) > $i ).
tff(decl_288,type,
esk169_2: ( $i * $i ) > $i ).
tff(decl_289,type,
esk170_2: ( $i * $i ) > $i ).
tff(decl_290,type,
esk171_2: ( $i * $i ) > $i ).
tff(decl_291,type,
esk172_3: ( $i * $i * $i ) > $i ).
tff(decl_292,type,
esk173_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_293,type,
esk174_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_294,type,
esk175_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_295,type,
esk176_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_296,type,
esk177_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_297,type,
esk178_1: $i > $i ).
tff(decl_298,type,
esk179_1: $i > $i ).
tff(decl_299,type,
esk180_1: $i > $i ).
tff(decl_300,type,
esk181_1: $i > $i ).
tff(decl_301,type,
esk182_2: ( $i * $i ) > $i ).
tff(decl_302,type,
esk183_1: $i > $i ).
tff(decl_303,type,
esk184_1: $i > $i ).
tff(decl_304,type,
esk185_1: $i > $i ).
tff(decl_305,type,
esk186_1: $i > $i ).
tff(decl_306,type,
esk187_1: $i > $i ).
tff(decl_307,type,
esk188_1: $i > $i ).
tff(decl_308,type,
esk189_1: $i > $i ).
tff(decl_309,type,
esk190_2: ( $i * $i ) > $i ).
tff(decl_310,type,
esk191_3: ( $i * $i * $i ) > $i ).
tff(decl_311,type,
esk192_3: ( $i * $i * $i ) > $i ).
tff(decl_312,type,
esk193_3: ( $i * $i * $i ) > $i ).
tff(decl_313,type,
esk194_1: $i > $i ).
tff(decl_314,type,
esk195_1: $i > $i ).
tff(decl_315,type,
esk196_1: $i > $i ).
tff(decl_316,type,
esk197_1: $i > $i ).
tff(decl_317,type,
esk198_2: ( $i * $i ) > $i ).
tff(decl_318,type,
esk199_2: ( $i * $i ) > $i ).
tff(decl_319,type,
esk200_3: ( $i * $i * $i ) > $i ).
tff(decl_320,type,
esk201_3: ( $i * $i * $i ) > $i ).
tff(decl_321,type,
esk202_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_322,type,
esk203_2: ( $i * $i ) > $i ).
tff(decl_323,type,
esk204_2: ( $i * $i ) > $i ).
tff(decl_324,type,
esk205_2: ( $i * $i ) > $i ).
tff(decl_325,type,
esk206_2: ( $i * $i ) > $i ).
tff(decl_326,type,
esk207_2: ( $i * $i ) > $i ).
tff(decl_327,type,
esk208_2: ( $i * $i ) > $i ).
tff(decl_328,type,
esk209_3: ( $i * $i * $i ) > $i ).
tff(decl_329,type,
esk210_3: ( $i * $i * $i ) > $i ).
tff(decl_330,type,
esk211_3: ( $i * $i * $i ) > $i ).
tff(decl_331,type,
esk212_3: ( $i * $i * $i ) > $i ).
tff(decl_332,type,
esk213_3: ( $i * $i * $i ) > $i ).
tff(decl_333,type,
esk214_3: ( $i * $i * $i ) > $i ).
tff(decl_334,type,
esk215_3: ( $i * $i * $i ) > $i ).
tff(decl_335,type,
esk216_3: ( $i * $i * $i ) > $i ).
tff(decl_336,type,
esk217_3: ( $i * $i * $i ) > $i ).
tff(decl_337,type,
esk218_3: ( $i * $i * $i ) > $i ).
tff(decl_338,type,
esk219_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_339,type,
esk220_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_340,type,
esk221_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_341,type,
esk222_0: $i ).
tff(decl_342,type,
esk223_0: $i ).
tff(decl_343,type,
esk224_0: $i ).
tff(decl_344,type,
esk225_1: $i > $i ).
tff(decl_345,type,
esk226_2: ( $i * $i ) > $i ).
tff(decl_346,type,
esk227_3: ( $i * $i * $i ) > $i ).
tff(decl_347,type,
esk228_3: ( $i * $i * $i ) > $i ).
tff(decl_348,type,
esk229_3: ( $i * $i * $i ) > $i ).
tff(decl_349,type,
esk230_3: ( $i * $i * $i ) > $i ).
tff(decl_350,type,
esk231_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_351,type,
esk232_2: ( $i * $i ) > $i ).
tff(decl_352,type,
esk233_2: ( $i * $i ) > $i ).
tff(decl_353,type,
esk234_2: ( $i * $i ) > $i ).
tff(decl_354,type,
esk235_2: ( $i * $i ) > $i ).
tff(decl_355,type,
esk236_2: ( $i * $i ) > $i ).
tff(decl_356,type,
esk237_2: ( $i * $i ) > $i ).
tff(decl_357,type,
esk238_3: ( $i * $i * $i ) > $i ).
tff(decl_358,type,
esk239_3: ( $i * $i * $i ) > $i ).
tff(decl_359,type,
esk240_3: ( $i * $i * $i ) > $i ).
tff(decl_360,type,
esk241_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_361,type,
esk242_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_362,type,
esk243_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_363,type,
esk244_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_364,type,
esk245_2: ( $i * $i ) > $i ).
tff(decl_365,type,
esk246_3: ( $i * $i * $i ) > $i ).
tff(decl_366,type,
esk247_3: ( $i * $i * $i ) > $i ).
tff(decl_367,type,
esk248_1: $i > $i ).
tff(decl_368,type,
esk249_2: ( $i * $i ) > $i ).
tff(decl_369,type,
esk250_3: ( $i * $i * $i ) > $i ).
tff(decl_370,type,
esk251_3: ( $i * $i * $i ) > $i ).
tff(decl_371,type,
esk252_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_372,type,
esk253_2: ( $i * $i ) > $i ).
tff(decl_373,type,
esk254_3: ( $i * $i * $i ) > $i ).
tff(decl_374,type,
esk255_3: ( $i * $i * $i ) > $i ).
tff(decl_375,type,
esk256_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_376,type,
esk257_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_377,type,
esk258_1: $i > $i ).
tff(decl_378,type,
esk259_3: ( $i * $i * $i ) > $i ).
tff(decl_379,type,
esk260_2: ( $i * $i ) > $i ).
tff(decl_380,type,
esk261_3: ( $i * $i * $i ) > $i ).
tff(decl_381,type,
esk262_2: ( $i * $i ) > $i ).
tff(decl_382,type,
esk263_2: ( $i * $i ) > $i ).
tff(decl_383,type,
esk264_2: ( $i * $i ) > $i ).
tff(decl_384,type,
esk265_2: ( $i * $i ) > $i ).
tff(decl_385,type,
esk266_2: ( $i * $i ) > $i ).
tff(decl_386,type,
esk267_2: ( $i * $i ) > $i ).
tff(decl_387,type,
esk268_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_388,type,
esk269_2: ( $i * $i ) > $i ).
tff(decl_389,type,
esk270_3: ( $i * $i * $i ) > $i ).
tff(decl_390,type,
esk271_1: $i > $i ).
tff(decl_391,type,
esk272_1: $i > $i ).
tff(decl_392,type,
esk273_1: $i > $i ).
tff(decl_393,type,
esk274_1: $i > $i ).
tff(decl_394,type,
esk275_1: $i > $i ).
tff(decl_395,type,
esk276_0: $i ).
tff(decl_396,type,
esk277_2: ( $i * $i ) > $i ).
tff(decl_397,type,
esk278_0: $i ).
tff(decl_398,type,
esk279_1: $i > $i ).
tff(decl_399,type,
esk280_2: ( $i * $i ) > $i ).
tff(decl_400,type,
esk281_1: $i > $i ).
tff(decl_401,type,
esk282_1: $i > $i ).
tff(decl_402,type,
esk283_3: ( $i * $i * $i ) > $i ).
tff(decl_403,type,
esk284_3: ( $i * $i * $i ) > $i ).
tff(decl_404,type,
esk285_2: ( $i * $i ) > $i ).
tff(decl_405,type,
esk286_3: ( $i * $i * $i ) > $i ).
tff(decl_406,type,
esk287_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_407,type,
esk288_3: ( $i * $i * $i ) > $i ).
tff(decl_408,type,
esk289_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_409,type,
esk290_0: $i ).
tff(decl_410,type,
esk291_0: $i ).
tff(decl_411,type,
esk292_0: $i ).
tff(decl_412,type,
esk293_1: $i > $i ).
tff(decl_413,type,
esk294_1: $i > $i ).
tff(decl_414,type,
esk295_1: $i > $i ).
tff(decl_415,type,
esk296_2: ( $i * $i ) > $i ).
tff(decl_416,type,
esk297_1: $i > $i ).
tff(decl_417,type,
esk298_2: ( $i * $i ) > $i ).
tff(decl_418,type,
esk299_2: ( $i * $i ) > $i ).
tff(decl_419,type,
esk300_2: ( $i * $i ) > $i ).
tff(decl_420,type,
esk301_1: $i > $i ).
tff(decl_421,type,
esk302_1: $i > $i ).
tff(decl_422,type,
esk303_2: ( $i * $i ) > $i ).
tff(decl_423,type,
esk304_2: ( $i * $i ) > $i ).
tff(decl_424,type,
esk305_2: ( $i * $i ) > $i ).
tff(decl_425,type,
esk306_2: ( $i * $i ) > $i ).
tff(decl_426,type,
esk307_2: ( $i * $i ) > $i ).
tff(decl_427,type,
esk308_1: $i > $i ).
tff(decl_428,type,
esk309_1: $i > $i ).
tff(decl_429,type,
esk310_3: ( $i * $i * $i ) > $i ).
tff(decl_430,type,
esk311_2: ( $i * $i ) > $i ).
tff(decl_431,type,
esk312_1: $i > $i ).
tff(decl_432,type,
esk313_2: ( $i * $i ) > $i ).
tff(decl_433,type,
esk314_0: $i ).
tff(decl_434,type,
esk315_1: $i > $i ).
tff(decl_435,type,
esk316_0: $i ).
tff(decl_436,type,
esk317_1: $i > $i ).
tff(decl_437,type,
esk318_0: $i ).
tff(decl_438,type,
esk319_1: $i > $i ).
tff(decl_439,type,
esk320_3: ( $i * $i * $i ) > $i ).
tff(decl_440,type,
esk321_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_441,type,
esk322_3: ( $i * $i * $i ) > $i ).
tff(decl_442,type,
esk323_4: ( $i * $i * $i * $i ) > $i ).
fof(redefinition_k3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> join_commut(X1,X2,X3) = join(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(t26_lattices,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( below(X1,X2,X3)
& below(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
fof(d3_lattices,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& join_semilatt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( below(X1,X2,X3)
<=> join(X1,X2,X3) = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
fof(commutativity_k3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> join_commut(X1,X2,X3) = join_commut(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
fof(c_0_4,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> join_commut(X1,X2,X3) = join(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[redefinition_k3_lattices]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( below(X1,X2,X3)
& below(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t26_lattices])]) ).
fof(c_0_6,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& join_semilatt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( below(X1,X2,X3)
<=> join(X1,X2,X3) = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_lattices]) ).
fof(c_0_7,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> join_commut(X1,X2,X3) = join_commut(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[commutativity_k3_lattices]) ).
fof(c_0_8,plain,
! [X710,X711,X712] :
( empty_carrier(X710)
| ~ join_commutative(X710)
| ~ join_semilatt_str(X710)
| ~ element(X711,the_carrier(X710))
| ~ element(X712,the_carrier(X710))
| join_commut(X710,X711,X712) = join(X710,X711,X712) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_9,negated_conjecture,
( ~ empty_carrier(esk290_0)
& join_commutative(esk290_0)
& join_semilatt_str(esk290_0)
& element(esk291_0,the_carrier(esk290_0))
& element(esk292_0,the_carrier(esk290_0))
& below(esk290_0,esk291_0,esk292_0)
& below(esk290_0,esk292_0,esk291_0)
& esk291_0 != esk292_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_10,plain,
! [X298,X299,X300] :
( ( ~ below(X298,X299,X300)
| join(X298,X299,X300) = X300
| ~ element(X300,the_carrier(X298))
| ~ element(X299,the_carrier(X298))
| empty_carrier(X298)
| ~ join_semilatt_str(X298) )
& ( join(X298,X299,X300) != X300
| below(X298,X299,X300)
| ~ element(X300,the_carrier(X298))
| ~ element(X299,the_carrier(X298))
| empty_carrier(X298)
| ~ join_semilatt_str(X298) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_11,plain,
! [X47,X48,X49] :
( empty_carrier(X47)
| ~ join_commutative(X47)
| ~ join_semilatt_str(X47)
| ~ element(X48,the_carrier(X47))
| ~ element(X49,the_carrier(X47))
| join_commut(X47,X48,X49) = join_commut(X47,X49,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
cnf(c_0_12,plain,
( empty_carrier(X1)
| join_commut(X1,X2,X3) = join(X1,X2,X3)
| ~ join_commutative(X1)
| ~ join_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
element(esk292_0,the_carrier(esk290_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
join_semilatt_str(esk290_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
join_commutative(esk290_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
~ empty_carrier(esk290_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( join(X1,X2,X3) = X3
| empty_carrier(X1)
| ~ below(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ join_semilatt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
below(esk290_0,esk291_0,esk292_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
element(esk291_0,the_carrier(esk290_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,negated_conjecture,
below(esk290_0,esk292_0,esk291_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_21,plain,
( empty_carrier(X1)
| join_commut(X1,X2,X3) = join_commut(X1,X3,X2)
| ~ join_commutative(X1)
| ~ join_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
( join_commut(esk290_0,X1,esk292_0) = join(esk290_0,X1,esk292_0)
| ~ element(X1,the_carrier(esk290_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_23,negated_conjecture,
join(esk290_0,esk291_0,esk292_0) = esk292_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_17,c_0_18]),c_0_14]),c_0_13]),c_0_19])]),c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( join_commut(esk290_0,X1,esk291_0) = join(esk290_0,X1,esk291_0)
| ~ element(X1,the_carrier(esk290_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_25,negated_conjecture,
join(esk290_0,esk292_0,esk291_0) = esk291_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_17,c_0_20]),c_0_14]),c_0_19]),c_0_13])]),c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( join_commut(esk290_0,X1,esk292_0) = join_commut(esk290_0,esk292_0,X1)
| ~ element(X1,the_carrier(esk290_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_27,negated_conjecture,
join_commut(esk290_0,esk291_0,esk292_0) = esk292_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_23]) ).
cnf(c_0_28,negated_conjecture,
join_commut(esk290_0,esk292_0,esk291_0) = esk291_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_13]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
esk291_0 != esk292_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_19]),c_0_27]),c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU305+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
% 0.18/0.35 % Computer : n026.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 24 01:35:31 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 2.94/3.07 % Version : CSE_E---1.5
% 2.94/3.07 % Problem : theBenchmark.p
% 2.94/3.07 % Proof found
% 2.94/3.07 % SZS status Theorem for theBenchmark.p
% 2.94/3.07 % SZS output start Proof
% See solution above
% 3.05/3.08 % Total time : 2.491000 s
% 3.05/3.08 % SZS output end Proof
% 3.05/3.08 % Total time : 2.501000 s
%------------------------------------------------------------------------------