TSTP Solution File: SEU353+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU353+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 16:24:42 EDT 2023
% Result : Theorem 26.57s 26.73s
% Output : CNFRefutation 26.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 634
% Syntax : Number of formulae : 673 ( 19 unt; 623 typ; 0 def)
% Number of atoms : 141 ( 20 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 143 ( 52 ~; 43 |; 27 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1242 ( 579 >; 663 *; 0 +; 0 <<)
% Number of predicates : 96 ( 94 usr; 2 prp; 0-3 aty)
% Number of functors : 529 ( 529 usr; 43 con; 0-7 aty)
% Number of variables : 73 ( 1 sgn; 48 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
rel_str: $i > $o ).
tff(decl_23,type,
strict_rel_str: $i > $o ).
tff(decl_24,type,
the_carrier: $i > $i ).
tff(decl_25,type,
the_InternalRel: $i > $i ).
tff(decl_26,type,
rel_str_of: ( $i * $i ) > $i ).
tff(decl_27,type,
latt_str: $i > $o ).
tff(decl_28,type,
strict_latt_str: $i > $o ).
tff(decl_29,type,
the_L_join: $i > $i ).
tff(decl_30,type,
the_L_meet: $i > $i ).
tff(decl_31,type,
latt_str_of: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
in: ( $i * $i ) > $o ).
tff(decl_33,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_34,type,
v1_membered: $i > $o ).
tff(decl_35,type,
element: ( $i * $i ) > $o ).
tff(decl_36,type,
v1_xcmplx_0: $i > $o ).
tff(decl_37,type,
v2_membered: $i > $o ).
tff(decl_38,type,
v1_xreal_0: $i > $o ).
tff(decl_39,type,
v3_membered: $i > $o ).
tff(decl_40,type,
v1_rat_1: $i > $o ).
tff(decl_41,type,
v4_membered: $i > $o ).
tff(decl_42,type,
v1_int_1: $i > $o ).
tff(decl_43,type,
v5_membered: $i > $o ).
tff(decl_44,type,
natural: $i > $o ).
tff(decl_45,type,
empty: $i > $o ).
tff(decl_46,type,
powerset: $i > $i ).
tff(decl_47,type,
ordinal: $i > $o ).
tff(decl_48,type,
epsilon_transitive: $i > $o ).
tff(decl_49,type,
epsilon_connected: $i > $o ).
tff(decl_50,type,
finite: $i > $o ).
tff(decl_51,type,
preboolean: $i > $o ).
tff(decl_52,type,
cup_closed: $i > $o ).
tff(decl_53,type,
diff_closed: $i > $o ).
tff(decl_54,type,
function: $i > $o ).
tff(decl_55,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_57,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
empty_carrier: $i > $o ).
tff(decl_59,type,
lattice: $i > $o ).
tff(decl_60,type,
join_commutative: $i > $o ).
tff(decl_61,type,
join_associative: $i > $o ).
tff(decl_62,type,
meet_commutative: $i > $o ).
tff(decl_63,type,
meet_associative: $i > $o ).
tff(decl_64,type,
meet_absorbing: $i > $o ).
tff(decl_65,type,
join_absorbing: $i > $o ).
tff(decl_66,type,
relation: $i > $o ).
tff(decl_67,type,
symmetric: $i > $o ).
tff(decl_68,type,
transitive: $i > $o ).
tff(decl_69,type,
reflexive: $i > $o ).
tff(decl_70,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_71,type,
one_to_one: $i > $o ).
tff(decl_72,type,
bijective: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
onto: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
omega: $i ).
tff(decl_75,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_76,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_77,type,
join_semilatt_str: $i > $o ).
tff(decl_78,type,
join_commut: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_80,type,
meet_semilatt_str: $i > $o ).
tff(decl_81,type,
meet_commut: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
subset_union2: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
subset_intersection2: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_85,type,
identity_relation: $i > $i ).
tff(decl_86,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_87,type,
subset: ( $i * $i ) > $o ).
tff(decl_88,type,
one_sorted_str: $i > $o ).
tff(decl_89,type,
identity_on_carrier: $i > $i ).
tff(decl_90,type,
identity_as_relation_of: $i > $i ).
tff(decl_91,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_92,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_93,type,
relation_dom: $i > $i ).
tff(decl_94,type,
apply: ( $i * $i ) > $i ).
tff(decl_95,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_96,type,
antisymmetric: $i > $o ).
tff(decl_97,type,
relation_field: $i > $i ).
tff(decl_98,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_99,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_100,type,
lower_bounded_semilattstr: $i > $o ).
tff(decl_101,type,
meet: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
top_str: $i > $o ).
tff(decl_103,type,
topstr_closure: ( $i * $i ) > $i ).
tff(decl_104,type,
open_subset: ( $i * $i ) > $o ).
tff(decl_105,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_106,type,
connected: $i > $o ).
tff(decl_107,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_108,type,
latt_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_109,type,
below: ( $i * $i * $i ) > $o ).
tff(decl_110,type,
bottom_of_semilattstr: $i > $i ).
tff(decl_111,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_112,type,
latt_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_113,type,
apply_binary: ( $i * $i * $i ) > $i ).
tff(decl_114,type,
topological_space: $i > $o ).
tff(decl_115,type,
point_neighbourhood: ( $i * $i * $i ) > $o ).
tff(decl_116,type,
interior: ( $i * $i ) > $i ).
tff(decl_117,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
relation_rng: $i > $i ).
tff(decl_119,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_120,type,
empty_set: $i ).
tff(decl_121,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
boole_lattice: $i > $i ).
tff(decl_123,type,
join: ( $i * $i * $i ) > $i ).
tff(decl_124,type,
apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
pair_first: $i > $i ).
tff(decl_126,type,
succ: $i > $i ).
tff(decl_127,type,
singleton: $i > $i ).
tff(decl_128,type,
the_topology: $i > $i ).
tff(decl_129,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_130,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_131,type,
set_meet: $i > $i ).
tff(decl_132,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_133,type,
open_subsets: ( $i * $i ) > $o ).
tff(decl_134,type,
fiber: ( $i * $i ) > $i ).
tff(decl_135,type,
inclusion_relation: $i > $i ).
tff(decl_136,type,
complete_latt_str: $i > $o ).
tff(decl_137,type,
join_of_latt_set: ( $i * $i ) > $i ).
tff(decl_138,type,
meet_of_latt_set: ( $i * $i ) > $i ).
tff(decl_139,type,
a_2_2_lattice3: ( $i * $i ) > $i ).
tff(decl_140,type,
centered: $i > $o ).
tff(decl_141,type,
poset_of_lattice: $i > $i ).
tff(decl_142,type,
k2_lattice3: $i > $i ).
tff(decl_143,type,
pair_second: $i > $i ).
tff(decl_144,type,
empty_carrier_subset: $i > $i ).
tff(decl_145,type,
closed_subsets: ( $i * $i ) > $o ).
tff(decl_146,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_147,type,
well_founded_relation: $i > $o ).
tff(decl_148,type,
compact_top_space: $i > $o ).
tff(decl_149,type,
is_a_cover_of_carrier: ( $i * $i ) > $o ).
tff(decl_150,type,
cast_to_el_of_LattPOSet: ( $i * $i ) > $i ).
tff(decl_151,type,
cast_as_carrier_subset: $i > $i ).
tff(decl_152,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_153,type,
cast_to_el_of_lattice: ( $i * $i ) > $i ).
tff(decl_154,type,
cast_to_subset: $i > $i ).
tff(decl_155,type,
union: $i > $i ).
tff(decl_156,type,
well_ordering: $i > $o ).
tff(decl_157,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_158,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_159,type,
transitive_relstr: $i > $o ).
tff(decl_160,type,
being_limit_ordinal: $i > $o ).
tff(decl_161,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_162,type,
antisymmetric_relstr: $i > $o ).
tff(decl_163,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_164,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_165,type,
relation_inverse: $i > $i ).
tff(decl_166,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_167,type,
relation_of_lattice: $i > $i ).
tff(decl_168,type,
a_1_0_filter_1: $i > $i ).
tff(decl_169,type,
relstr_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_170,type,
related: ( $i * $i * $i ) > $o ).
tff(decl_171,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_172,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_173,type,
function_inverse: $i > $i ).
tff(decl_174,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_175,type,
k10_filter_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_176,type,
k8_filter_1: ( $i * $i ) > $i ).
tff(decl_177,type,
ordered_pair_as_product_element: ( $i * $i * $i * $i ) > $i ).
tff(decl_178,type,
reflexive_relstr: $i > $o ).
tff(decl_179,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_180,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_181,type,
apply_as_element: ( $i * $i * $i * $i ) > $i ).
tff(decl_182,type,
relation_empty_yielding: $i > $o ).
tff(decl_183,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_184,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_185,type,
below_refl: ( $i * $i * $i ) > $o ).
tff(decl_186,type,
a_2_3_lattice3: ( $i * $i ) > $i ).
tff(decl_187,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_188,type,
related_reflexive: ( $i * $i * $i ) > $o ).
tff(decl_189,type,
epred1_0: $o ).
tff(decl_190,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_191,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_192,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_193,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_194,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_195,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_196,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_197,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_198,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_199,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_201,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_202,type,
esk11_1: $i > $i ).
tff(decl_203,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_204,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_205,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_206,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_207,type,
esk16_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_208,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_209,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_210,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_211,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_212,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_213,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_215,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_216,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_217,type,
esk26_1: $i > $i ).
tff(decl_218,type,
esk27_1: $i > $i ).
tff(decl_219,type,
esk28_1: $i > $i ).
tff(decl_220,type,
esk29_1: $i > $i ).
tff(decl_221,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_222,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_223,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_224,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_225,type,
esk34_1: $i > $i ).
tff(decl_226,type,
esk35_1: $i > $i ).
tff(decl_227,type,
esk36_1: $i > $i ).
tff(decl_228,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_229,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_230,type,
esk39_1: $i > $i ).
tff(decl_231,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_232,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_233,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_234,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_235,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_236,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_237,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_238,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_239,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_240,type,
esk49_1: $i > $i ).
tff(decl_241,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_242,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_243,type,
esk52_1: $i > $i ).
tff(decl_244,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_245,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_246,type,
esk55_1: $i > $i ).
tff(decl_247,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_248,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_249,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_250,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_251,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_252,type,
esk61_1: $i > $i ).
tff(decl_253,type,
esk62_3: ( $i * $i * $i ) > $i ).
tff(decl_254,type,
esk63_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_255,type,
esk64_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_256,type,
esk65_3: ( $i * $i * $i ) > $i ).
tff(decl_257,type,
esk66_3: ( $i * $i * $i ) > $i ).
tff(decl_258,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_259,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_260,type,
esk69_1: $i > $i ).
tff(decl_261,type,
esk70_1: $i > $i ).
tff(decl_262,type,
esk71_1: $i > $i ).
tff(decl_263,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_264,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_265,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_266,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_267,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_268,type,
esk77_3: ( $i * $i * $i ) > $i ).
tff(decl_269,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_270,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_271,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_272,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_273,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_274,type,
esk83_3: ( $i * $i * $i ) > $i ).
tff(decl_275,type,
esk84_2: ( $i * $i ) > $i ).
tff(decl_276,type,
esk85_2: ( $i * $i ) > $i ).
tff(decl_277,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_278,type,
esk87_3: ( $i * $i * $i ) > $i ).
tff(decl_279,type,
esk88_3: ( $i * $i * $i ) > $i ).
tff(decl_280,type,
esk89_2: ( $i * $i ) > $i ).
tff(decl_281,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_282,type,
esk91_1: $i > $i ).
tff(decl_283,type,
esk92_3: ( $i * $i * $i ) > $i ).
tff(decl_284,type,
esk93_2: ( $i * $i ) > $i ).
tff(decl_285,type,
esk94_2: ( $i * $i ) > $i ).
tff(decl_286,type,
esk95_2: ( $i * $i ) > $i ).
tff(decl_287,type,
esk96_2: ( $i * $i ) > $i ).
tff(decl_288,type,
esk97_2: ( $i * $i ) > $i ).
tff(decl_289,type,
esk98_2: ( $i * $i ) > $i ).
tff(decl_290,type,
esk99_3: ( $i * $i * $i ) > $i ).
tff(decl_291,type,
esk100_3: ( $i * $i * $i ) > $i ).
tff(decl_292,type,
esk101_1: $i > $i ).
tff(decl_293,type,
esk102_1: $i > $i ).
tff(decl_294,type,
esk103_3: ( $i * $i * $i ) > $i ).
tff(decl_295,type,
esk104_1: $i > $i ).
tff(decl_296,type,
esk105_1: $i > $i ).
tff(decl_297,type,
esk106_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_298,type,
esk107_3: ( $i * $i * $i ) > $i ).
tff(decl_299,type,
esk108_3: ( $i * $i * $i ) > $i ).
tff(decl_300,type,
esk109_3: ( $i * $i * $i ) > $i ).
tff(decl_301,type,
esk110_2: ( $i * $i ) > $i ).
tff(decl_302,type,
esk111_2: ( $i * $i ) > $i ).
tff(decl_303,type,
esk112_2: ( $i * $i ) > $i ).
tff(decl_304,type,
esk113_3: ( $i * $i * $i ) > $i ).
tff(decl_305,type,
esk114_3: ( $i * $i * $i ) > $i ).
tff(decl_306,type,
esk115_0: $i ).
tff(decl_307,type,
esk116_0: $i ).
tff(decl_308,type,
esk117_0: $i ).
tff(decl_309,type,
esk118_0: $i ).
tff(decl_310,type,
esk119_0: $i ).
tff(decl_311,type,
esk120_0: $i ).
tff(decl_312,type,
esk121_2: ( $i * $i ) > $i ).
tff(decl_313,type,
esk122_2: ( $i * $i ) > $i ).
tff(decl_314,type,
esk123_1: $i > $i ).
tff(decl_315,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_316,type,
esk125_2: ( $i * $i ) > $i ).
tff(decl_317,type,
esk126_2: ( $i * $i ) > $i ).
tff(decl_318,type,
esk127_3: ( $i * $i * $i ) > $i ).
tff(decl_319,type,
esk128_3: ( $i * $i * $i ) > $i ).
tff(decl_320,type,
esk129_1: $i > $i ).
tff(decl_321,type,
esk130_1: $i > $i ).
tff(decl_322,type,
esk131_1: $i > $i ).
tff(decl_323,type,
esk132_1: $i > $i ).
tff(decl_324,type,
esk133_2: ( $i * $i ) > $i ).
tff(decl_325,type,
esk134_1: $i > $i ).
tff(decl_326,type,
esk135_1: $i > $i ).
tff(decl_327,type,
esk136_1: $i > $i ).
tff(decl_328,type,
esk137_1: $i > $i ).
tff(decl_329,type,
esk138_2: ( $i * $i ) > $i ).
tff(decl_330,type,
esk139_0: $i ).
tff(decl_331,type,
esk140_0: $i ).
tff(decl_332,type,
esk141_0: $i ).
tff(decl_333,type,
esk142_2: ( $i * $i ) > $i ).
tff(decl_334,type,
esk143_0: $i ).
tff(decl_335,type,
esk144_0: $i ).
tff(decl_336,type,
esk145_0: $i ).
tff(decl_337,type,
esk146_0: $i ).
tff(decl_338,type,
esk147_0: $i ).
tff(decl_339,type,
esk148_0: $i ).
tff(decl_340,type,
esk149_1: $i > $i ).
tff(decl_341,type,
esk150_1: $i > $i ).
tff(decl_342,type,
esk151_0: $i ).
tff(decl_343,type,
esk152_1: $i > $i ).
tff(decl_344,type,
esk153_0: $i ).
tff(decl_345,type,
esk154_1: $i > $i ).
tff(decl_346,type,
esk155_0: $i ).
tff(decl_347,type,
esk156_0: $i ).
tff(decl_348,type,
esk157_2: ( $i * $i ) > $i ).
tff(decl_349,type,
esk158_0: $i ).
tff(decl_350,type,
esk159_1: $i > $i ).
tff(decl_351,type,
esk160_1: $i > $i ).
tff(decl_352,type,
esk161_0: $i ).
tff(decl_353,type,
esk162_1: $i > $i ).
tff(decl_354,type,
esk163_0: $i ).
tff(decl_355,type,
esk164_0: $i ).
tff(decl_356,type,
esk165_0: $i ).
tff(decl_357,type,
esk166_1: $i > $i ).
tff(decl_358,type,
esk167_0: $i ).
tff(decl_359,type,
esk168_0: $i ).
tff(decl_360,type,
esk169_1: $i > $i ).
tff(decl_361,type,
esk170_0: $i ).
tff(decl_362,type,
esk171_1: $i > $i ).
tff(decl_363,type,
esk172_0: $i ).
tff(decl_364,type,
esk173_1: $i > $i ).
tff(decl_365,type,
esk174_1: $i > $i ).
tff(decl_366,type,
esk175_0: $i ).
tff(decl_367,type,
esk176_2: ( $i * $i ) > $i ).
tff(decl_368,type,
esk177_2: ( $i * $i ) > $i ).
tff(decl_369,type,
esk178_2: ( $i * $i ) > $i ).
tff(decl_370,type,
esk179_2: ( $i * $i ) > $i ).
tff(decl_371,type,
esk180_2: ( $i * $i ) > $i ).
tff(decl_372,type,
esk181_2: ( $i * $i ) > $i ).
tff(decl_373,type,
esk182_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_374,type,
esk183_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_375,type,
esk184_1: $i > $i ).
tff(decl_376,type,
esk185_1: $i > $i ).
tff(decl_377,type,
esk186_1: $i > $i ).
tff(decl_378,type,
esk187_1: $i > $i ).
tff(decl_379,type,
esk188_2: ( $i * $i ) > $i ).
tff(decl_380,type,
esk189_2: ( $i * $i ) > $i ).
tff(decl_381,type,
esk190_2: ( $i * $i ) > $i ).
tff(decl_382,type,
esk191_2: ( $i * $i ) > $i ).
tff(decl_383,type,
esk192_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_384,type,
esk193_2: ( $i * $i ) > $i ).
tff(decl_385,type,
esk194_2: ( $i * $i ) > $i ).
tff(decl_386,type,
esk195_2: ( $i * $i ) > $i ).
tff(decl_387,type,
esk196_2: ( $i * $i ) > $i ).
tff(decl_388,type,
esk197_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_389,type,
esk198_1: $i > $i ).
tff(decl_390,type,
esk199_0: $i ).
tff(decl_391,type,
esk200_2: ( $i * $i ) > $i ).
tff(decl_392,type,
esk201_0: $i ).
tff(decl_393,type,
esk202_1: $i > $i ).
tff(decl_394,type,
esk203_2: ( $i * $i ) > $i ).
tff(decl_395,type,
esk204_3: ( $i * $i * $i ) > $i ).
tff(decl_396,type,
esk205_2: ( $i * $i ) > $i ).
tff(decl_397,type,
esk206_2: ( $i * $i ) > $i ).
tff(decl_398,type,
esk207_2: ( $i * $i ) > $i ).
tff(decl_399,type,
esk208_2: ( $i * $i ) > $i ).
tff(decl_400,type,
esk209_2: ( $i * $i ) > $i ).
tff(decl_401,type,
esk210_2: ( $i * $i ) > $i ).
tff(decl_402,type,
esk211_3: ( $i * $i * $i ) > $i ).
tff(decl_403,type,
esk212_3: ( $i * $i * $i ) > $i ).
tff(decl_404,type,
esk213_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_405,type,
esk214_2: ( $i * $i ) > $i ).
tff(decl_406,type,
esk215_2: ( $i * $i ) > $i ).
tff(decl_407,type,
esk216_2: ( $i * $i ) > $i ).
tff(decl_408,type,
esk217_2: ( $i * $i ) > $i ).
tff(decl_409,type,
esk218_2: ( $i * $i ) > $i ).
tff(decl_410,type,
esk219_2: ( $i * $i ) > $i ).
tff(decl_411,type,
esk220_2: ( $i * $i ) > $i ).
tff(decl_412,type,
esk221_2: ( $i * $i ) > $i ).
tff(decl_413,type,
esk222_2: ( $i * $i ) > $i ).
tff(decl_414,type,
esk223_3: ( $i * $i * $i ) > $i ).
tff(decl_415,type,
esk224_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_416,type,
esk225_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_417,type,
esk226_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_418,type,
esk227_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_419,type,
esk228_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_420,type,
esk229_1: $i > $i ).
tff(decl_421,type,
esk230_1: $i > $i ).
tff(decl_422,type,
esk231_1: $i > $i ).
tff(decl_423,type,
esk232_1: $i > $i ).
tff(decl_424,type,
esk233_2: ( $i * $i ) > $i ).
tff(decl_425,type,
esk234_1: $i > $i ).
tff(decl_426,type,
esk235_1: $i > $i ).
tff(decl_427,type,
esk236_1: $i > $i ).
tff(decl_428,type,
esk237_1: $i > $i ).
tff(decl_429,type,
esk238_1: $i > $i ).
tff(decl_430,type,
esk239_1: $i > $i ).
tff(decl_431,type,
esk240_1: $i > $i ).
tff(decl_432,type,
esk241_2: ( $i * $i ) > $i ).
tff(decl_433,type,
esk242_3: ( $i * $i * $i ) > $i ).
tff(decl_434,type,
esk243_3: ( $i * $i * $i ) > $i ).
tff(decl_435,type,
esk244_3: ( $i * $i * $i ) > $i ).
tff(decl_436,type,
esk245_1: $i > $i ).
tff(decl_437,type,
esk246_1: $i > $i ).
tff(decl_438,type,
esk247_1: $i > $i ).
tff(decl_439,type,
esk248_1: $i > $i ).
tff(decl_440,type,
esk249_2: ( $i * $i ) > $i ).
tff(decl_441,type,
esk250_2: ( $i * $i ) > $i ).
tff(decl_442,type,
esk251_3: ( $i * $i * $i ) > $i ).
tff(decl_443,type,
esk252_3: ( $i * $i * $i ) > $i ).
tff(decl_444,type,
esk253_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_445,type,
esk254_2: ( $i * $i ) > $i ).
tff(decl_446,type,
esk255_2: ( $i * $i ) > $i ).
tff(decl_447,type,
esk256_2: ( $i * $i ) > $i ).
tff(decl_448,type,
esk257_2: ( $i * $i ) > $i ).
tff(decl_449,type,
esk258_2: ( $i * $i ) > $i ).
tff(decl_450,type,
esk259_2: ( $i * $i ) > $i ).
tff(decl_451,type,
esk260_3: ( $i * $i * $i ) > $i ).
tff(decl_452,type,
esk261_3: ( $i * $i * $i ) > $i ).
tff(decl_453,type,
esk262_2: ( $i * $i ) > $i ).
tff(decl_454,type,
esk263_2: ( $i * $i ) > $i ).
tff(decl_455,type,
esk264_2: ( $i * $i ) > $i ).
tff(decl_456,type,
esk265_2: ( $i * $i ) > $i ).
tff(decl_457,type,
esk266_3: ( $i * $i * $i ) > $i ).
tff(decl_458,type,
esk267_2: ( $i * $i ) > $i ).
tff(decl_459,type,
esk268_2: ( $i * $i ) > $i ).
tff(decl_460,type,
esk269_2: ( $i * $i ) > $i ).
tff(decl_461,type,
esk270_2: ( $i * $i ) > $i ).
tff(decl_462,type,
esk271_2: ( $i * $i ) > $i ).
tff(decl_463,type,
esk272_2: ( $i * $i ) > $i ).
tff(decl_464,type,
esk273_3: ( $i * $i * $i ) > $i ).
tff(decl_465,type,
esk274_3: ( $i * $i * $i ) > $i ).
tff(decl_466,type,
esk275_2: ( $i * $i ) > $i ).
tff(decl_467,type,
esk276_2: ( $i * $i ) > $i ).
tff(decl_468,type,
esk277_2: ( $i * $i ) > $i ).
tff(decl_469,type,
esk278_2: ( $i * $i ) > $i ).
tff(decl_470,type,
esk279_3: ( $i * $i * $i ) > $i ).
tff(decl_471,type,
esk280_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_472,type,
esk281_2: ( $i * $i ) > $i ).
tff(decl_473,type,
esk282_2: ( $i * $i ) > $i ).
tff(decl_474,type,
esk283_2: ( $i * $i ) > $i ).
tff(decl_475,type,
esk284_2: ( $i * $i ) > $i ).
tff(decl_476,type,
esk285_2: ( $i * $i ) > $i ).
tff(decl_477,type,
esk286_2: ( $i * $i ) > $i ).
tff(decl_478,type,
esk287_2: ( $i * $i ) > $i ).
tff(decl_479,type,
esk288_3: ( $i * $i * $i ) > $i ).
tff(decl_480,type,
esk289_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_481,type,
esk290_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_482,type,
esk291_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_483,type,
esk292_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_484,type,
esk293_2: ( $i * $i ) > $i ).
tff(decl_485,type,
esk294_2: ( $i * $i ) > $i ).
tff(decl_486,type,
esk295_2: ( $i * $i ) > $i ).
tff(decl_487,type,
esk296_2: ( $i * $i ) > $i ).
tff(decl_488,type,
esk297_3: ( $i * $i * $i ) > $i ).
tff(decl_489,type,
esk298_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_490,type,
esk299_2: ( $i * $i ) > $i ).
tff(decl_491,type,
esk300_2: ( $i * $i ) > $i ).
tff(decl_492,type,
esk301_2: ( $i * $i ) > $i ).
tff(decl_493,type,
esk302_2: ( $i * $i ) > $i ).
tff(decl_494,type,
esk303_2: ( $i * $i ) > $i ).
tff(decl_495,type,
esk304_2: ( $i * $i ) > $i ).
tff(decl_496,type,
esk305_2: ( $i * $i ) > $i ).
tff(decl_497,type,
esk306_3: ( $i * $i * $i ) > $i ).
tff(decl_498,type,
esk307_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_499,type,
esk308_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_500,type,
esk309_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_501,type,
esk310_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_502,type,
esk311_3: ( $i * $i * $i ) > $i ).
tff(decl_503,type,
esk312_3: ( $i * $i * $i ) > $i ).
tff(decl_504,type,
esk313_3: ( $i * $i * $i ) > $i ).
tff(decl_505,type,
esk314_3: ( $i * $i * $i ) > $i ).
tff(decl_506,type,
esk315_3: ( $i * $i * $i ) > $i ).
tff(decl_507,type,
esk316_3: ( $i * $i * $i ) > $i ).
tff(decl_508,type,
esk317_3: ( $i * $i * $i ) > $i ).
tff(decl_509,type,
esk318_3: ( $i * $i * $i ) > $i ).
tff(decl_510,type,
esk319_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_511,type,
esk320_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_512,type,
esk321_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_513,type,
esk322_0: $i ).
tff(decl_514,type,
esk323_0: $i ).
tff(decl_515,type,
esk324_0: $i ).
tff(decl_516,type,
esk325_1: $i > $i ).
tff(decl_517,type,
esk326_2: ( $i * $i ) > $i ).
tff(decl_518,type,
esk327_3: ( $i * $i * $i ) > $i ).
tff(decl_519,type,
esk328_3: ( $i * $i * $i ) > $i ).
tff(decl_520,type,
esk329_3: ( $i * $i * $i ) > $i ).
tff(decl_521,type,
esk330_3: ( $i * $i * $i ) > $i ).
tff(decl_522,type,
esk331_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_523,type,
esk332_2: ( $i * $i ) > $i ).
tff(decl_524,type,
esk333_2: ( $i * $i ) > $i ).
tff(decl_525,type,
esk334_2: ( $i * $i ) > $i ).
tff(decl_526,type,
esk335_2: ( $i * $i ) > $i ).
tff(decl_527,type,
esk336_2: ( $i * $i ) > $i ).
tff(decl_528,type,
esk337_2: ( $i * $i ) > $i ).
tff(decl_529,type,
esk338_3: ( $i * $i * $i ) > $i ).
tff(decl_530,type,
esk339_3: ( $i * $i * $i ) > $i ).
tff(decl_531,type,
esk340_3: ( $i * $i * $i ) > $i ).
tff(decl_532,type,
esk341_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_533,type,
esk342_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_534,type,
esk343_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_535,type,
esk344_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_536,type,
esk345_2: ( $i * $i ) > $i ).
tff(decl_537,type,
esk346_3: ( $i * $i * $i ) > $i ).
tff(decl_538,type,
esk347_3: ( $i * $i * $i ) > $i ).
tff(decl_539,type,
esk348_1: $i > $i ).
tff(decl_540,type,
esk349_2: ( $i * $i ) > $i ).
tff(decl_541,type,
esk350_3: ( $i * $i * $i ) > $i ).
tff(decl_542,type,
esk351_3: ( $i * $i * $i ) > $i ).
tff(decl_543,type,
esk352_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_544,type,
esk353_2: ( $i * $i ) > $i ).
tff(decl_545,type,
esk354_3: ( $i * $i * $i ) > $i ).
tff(decl_546,type,
esk355_2: ( $i * $i ) > $i ).
tff(decl_547,type,
esk356_2: ( $i * $i ) > $i ).
tff(decl_548,type,
esk357_3: ( $i * $i * $i ) > $i ).
tff(decl_549,type,
esk358_3: ( $i * $i * $i ) > $i ).
tff(decl_550,type,
esk359_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_551,type,
esk360_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_552,type,
esk361_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_553,type,
esk362_3: ( $i * $i * $i ) > $i ).
tff(decl_554,type,
esk363_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_555,type,
esk364_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_556,type,
esk365_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_557,type,
esk366_3: ( $i * $i * $i ) > $i ).
tff(decl_558,type,
esk367_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_559,type,
esk368_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_560,type,
esk369_1: $i > $i ).
tff(decl_561,type,
esk370_3: ( $i * $i * $i ) > $i ).
tff(decl_562,type,
esk371_2: ( $i * $i ) > $i ).
tff(decl_563,type,
esk372_3: ( $i * $i * $i ) > $i ).
tff(decl_564,type,
esk373_2: ( $i * $i ) > $i ).
tff(decl_565,type,
esk374_2: ( $i * $i ) > $i ).
tff(decl_566,type,
esk375_2: ( $i * $i ) > $i ).
tff(decl_567,type,
esk376_2: ( $i * $i ) > $i ).
tff(decl_568,type,
esk377_2: ( $i * $i ) > $i ).
tff(decl_569,type,
esk378_2: ( $i * $i ) > $i ).
tff(decl_570,type,
esk379_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_571,type,
esk380_2: ( $i * $i ) > $i ).
tff(decl_572,type,
esk381_3: ( $i * $i * $i ) > $i ).
tff(decl_573,type,
esk382_1: $i > $i ).
tff(decl_574,type,
esk383_1: $i > $i ).
tff(decl_575,type,
esk384_1: $i > $i ).
tff(decl_576,type,
esk385_1: $i > $i ).
tff(decl_577,type,
esk386_1: $i > $i ).
tff(decl_578,type,
esk387_2: ( $i * $i ) > $i ).
tff(decl_579,type,
esk388_2: ( $i * $i ) > $i ).
tff(decl_580,type,
esk389_2: ( $i * $i ) > $i ).
tff(decl_581,type,
esk390_2: ( $i * $i ) > $i ).
tff(decl_582,type,
esk391_3: ( $i * $i * $i ) > $i ).
tff(decl_583,type,
esk392_2: ( $i * $i ) > $i ).
tff(decl_584,type,
esk393_2: ( $i * $i ) > $i ).
tff(decl_585,type,
esk394_2: ( $i * $i ) > $i ).
tff(decl_586,type,
esk395_2: ( $i * $i ) > $i ).
tff(decl_587,type,
esk396_2: ( $i * $i ) > $i ).
tff(decl_588,type,
esk397_3: ( $i * $i * $i ) > $i ).
tff(decl_589,type,
esk398_2: ( $i * $i ) > $i ).
tff(decl_590,type,
esk399_0: $i ).
tff(decl_591,type,
esk400_2: ( $i * $i ) > $i ).
tff(decl_592,type,
esk401_0: $i ).
tff(decl_593,type,
esk402_1: $i > $i ).
tff(decl_594,type,
esk403_2: ( $i * $i ) > $i ).
tff(decl_595,type,
esk404_1: $i > $i ).
tff(decl_596,type,
esk405_2: ( $i * $i ) > $i ).
tff(decl_597,type,
esk406_3: ( $i * $i * $i ) > $i ).
tff(decl_598,type,
esk407_2: ( $i * $i ) > $i ).
tff(decl_599,type,
esk408_1: $i > $i ).
tff(decl_600,type,
esk409_1: $i > $i ).
tff(decl_601,type,
esk410_3: ( $i * $i * $i ) > $i ).
tff(decl_602,type,
esk411_3: ( $i * $i * $i ) > $i ).
tff(decl_603,type,
esk412_2: ( $i * $i ) > $i ).
tff(decl_604,type,
esk413_3: ( $i * $i * $i ) > $i ).
tff(decl_605,type,
esk414_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_606,type,
esk415_3: ( $i * $i * $i ) > $i ).
tff(decl_607,type,
esk416_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_608,type,
esk417_1: $i > $i ).
tff(decl_609,type,
esk418_1: $i > $i ).
tff(decl_610,type,
esk419_1: $i > $i ).
tff(decl_611,type,
esk420_2: ( $i * $i ) > $i ).
tff(decl_612,type,
esk421_1: $i > $i ).
tff(decl_613,type,
esk422_2: ( $i * $i ) > $i ).
tff(decl_614,type,
esk423_2: ( $i * $i ) > $i ).
tff(decl_615,type,
esk424_3: ( $i * $i * $i ) > $i ).
tff(decl_616,type,
esk425_2: ( $i * $i ) > $i ).
tff(decl_617,type,
esk426_1: $i > $i ).
tff(decl_618,type,
esk427_1: $i > $i ).
tff(decl_619,type,
esk428_2: ( $i * $i ) > $i ).
tff(decl_620,type,
esk429_3: ( $i * $i * $i ) > $i ).
tff(decl_621,type,
esk430_2: ( $i * $i ) > $i ).
tff(decl_622,type,
esk431_2: ( $i * $i ) > $i ).
tff(decl_623,type,
esk432_2: ( $i * $i ) > $i ).
tff(decl_624,type,
esk433_2: ( $i * $i ) > $i ).
tff(decl_625,type,
esk434_2: ( $i * $i ) > $i ).
tff(decl_626,type,
esk435_2: ( $i * $i ) > $i ).
tff(decl_627,type,
esk436_1: $i > $i ).
tff(decl_628,type,
esk437_1: $i > $i ).
tff(decl_629,type,
esk438_3: ( $i * $i * $i ) > $i ).
tff(decl_630,type,
esk439_2: ( $i * $i ) > $i ).
tff(decl_631,type,
esk440_0: $i ).
tff(decl_632,type,
esk441_0: $i ).
tff(decl_633,type,
esk442_1: $i > $i ).
tff(decl_634,type,
esk443_2: ( $i * $i ) > $i ).
tff(decl_635,type,
esk444_0: $i ).
tff(decl_636,type,
esk445_1: $i > $i ).
tff(decl_637,type,
esk446_0: $i ).
tff(decl_638,type,
esk447_1: $i > $i ).
tff(decl_639,type,
esk448_0: $i ).
tff(decl_640,type,
esk449_1: $i > $i ).
tff(decl_641,type,
esk450_3: ( $i * $i * $i ) > $i ).
tff(decl_642,type,
esk451_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_643,type,
esk452_3: ( $i * $i * $i ) > $i ).
tff(decl_644,type,
esk453_4: ( $i * $i * $i * $i ) > $i ).
fof(dt_k6_partfun1,axiom,
! [X1] :
( v1_partfun1(identity_as_relation_of(X1),X1,X1)
& relation_of2_as_subset(identity_as_relation_of(X1),X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : identity_as_relation_of(X1) = identity_relation(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(t91_tmap_1,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> apply_as_element(the_carrier(X1),the_carrier(X1),identity_on_carrier(X1),X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t91_tmap_1) ).
fof(d11_grcat_1,axiom,
! [X1] :
( one_sorted_str(X1)
=> identity_on_carrier(X1) = identity_as_relation_of(the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_grcat_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ empty(X1)
& function(X3)
& quasi_total(X3,X1,X2)
& relation_of2(X3,X1,X2)
& element(X4,X1) )
=> apply_as_element(X1,X2,X3,X4) = apply(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(cc1_funct_2,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> ( ( function(X3)
& v1_partfun1(X3,X1,X2) )
=> ( function(X3)
& quasi_total(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(fc2_funct_1,axiom,
! [X1] :
( relation(identity_relation(X1))
& function(identity_relation(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(d1_struct_0,axiom,
! [X1] :
( one_sorted_str(X1)
=> ( empty_carrier(X1)
<=> empty(the_carrier(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_struct_0) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(t35_funct_1,lemma,
! [X1,X2] :
( in(X2,X1)
=> apply(identity_relation(X1),X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_funct_1) ).
fof(c_0_11,plain,
! [X715] :
( v1_partfun1(identity_as_relation_of(X715),X715,X715)
& relation_of2_as_subset(identity_as_relation_of(X715),X715,X715) ),
inference(variable_rename,[status(thm)],[dt_k6_partfun1]) ).
fof(c_0_12,plain,
! [X1070] : identity_as_relation_of(X1070) = identity_relation(X1070),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> apply_as_element(the_carrier(X1),the_carrier(X1),identity_on_carrier(X1),X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t91_tmap_1])]) ).
fof(c_0_14,plain,
! [X120] :
( ~ one_sorted_str(X120)
| identity_on_carrier(X120) = identity_as_relation_of(the_carrier(X120)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_grcat_1])]) ).
fof(c_0_15,plain,
! [X1080,X1081,X1082] :
( ( ~ relation_of2_as_subset(X1082,X1080,X1081)
| relation_of2(X1082,X1080,X1081) )
& ( ~ relation_of2(X1082,X1080,X1081)
| relation_of2_as_subset(X1082,X1080,X1081) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_16,plain,
relation_of2_as_subset(identity_as_relation_of(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
identity_as_relation_of(X1) = identity_relation(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,negated_conjecture,
( ~ empty_carrier(esk440_0)
& one_sorted_str(esk440_0)
& element(esk441_0,the_carrier(esk440_0))
& apply_as_element(the_carrier(esk440_0),the_carrier(esk440_0),identity_on_carrier(esk440_0),esk441_0) != esk441_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_19,plain,
( identity_on_carrier(X1) = identity_as_relation_of(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X1,X2,X3,X4] :
( ( ~ empty(X1)
& function(X3)
& quasi_total(X3,X1,X2)
& relation_of2(X3,X1,X2)
& element(X4,X1) )
=> apply_as_element(X1,X2,X3,X4) = apply(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
fof(c_0_21,plain,
! [X51,X52,X53] :
( ( function(X53)
| ~ function(X53)
| ~ v1_partfun1(X53,X51,X52)
| ~ relation_of2(X53,X51,X52) )
& ( quasi_total(X53,X51,X52)
| ~ function(X53)
| ~ v1_partfun1(X53,X51,X52)
| ~ relation_of2(X53,X51,X52) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_2])])]) ).
cnf(c_0_22,plain,
v1_partfun1(identity_as_relation_of(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
relation_of2_as_subset(identity_relation(X1),X1,X1),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_25,plain,
! [X805] :
( relation(identity_relation(X805))
& function(identity_relation(X805)) ),
inference(variable_rename,[status(thm)],[fc2_funct_1]) ).
fof(c_0_26,plain,
! [X303] :
( ( ~ empty_carrier(X303)
| empty(the_carrier(X303))
| ~ one_sorted_str(X303) )
& ( ~ empty(the_carrier(X303))
| empty_carrier(X303)
| ~ one_sorted_str(X303) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_struct_0])])]) ).
fof(c_0_27,plain,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
cnf(c_0_28,negated_conjecture,
apply_as_element(the_carrier(esk440_0),the_carrier(esk440_0),identity_on_carrier(esk440_0),esk441_0) != esk441_0,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( identity_on_carrier(X1) = identity_relation(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(rw,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_30,negated_conjecture,
one_sorted_str(esk440_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_31,plain,
! [X1076,X1077,X1078,X1079] :
( empty(X1076)
| ~ function(X1078)
| ~ quasi_total(X1078,X1076,X1077)
| ~ relation_of2(X1078,X1076,X1077)
| ~ element(X1079,X1076)
| apply_as_element(X1076,X1077,X1078,X1079) = apply(X1078,X1079) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
cnf(c_0_32,plain,
( quasi_total(X1,X2,X3)
| ~ function(X1)
| ~ v1_partfun1(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
v1_partfun1(identity_relation(X1),X1,X1),
inference(rw,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_34,plain,
relation_of2(identity_relation(X1),X1,X1),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_35,plain,
function(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
~ empty_carrier(esk440_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_38,plain,
! [X379,X380] :
( ( ~ element(X380,X379)
| in(X380,X379)
| empty(X379) )
& ( ~ in(X380,X379)
| element(X380,X379)
| empty(X379) )
& ( ~ element(X380,X379)
| empty(X380)
| ~ empty(X379) )
& ( ~ empty(X380)
| element(X380,X379)
| ~ empty(X379) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_39,negated_conjecture,
apply_as_element(the_carrier(esk440_0),the_carrier(esk440_0),identity_relation(the_carrier(esk440_0)),esk441_0) != esk441_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_40,plain,
( empty(X1)
| apply_as_element(X1,X3,X2,X4) = apply(X2,X4)
| ~ function(X2)
| ~ quasi_total(X2,X1,X3)
| ~ relation_of2(X2,X1,X3)
| ~ element(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
quasi_total(identity_relation(X1),X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_42,negated_conjecture,
element(esk441_0,the_carrier(esk440_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_43,negated_conjecture,
~ empty(the_carrier(esk440_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_30])]) ).
fof(c_0_44,lemma,
! [X1898,X1899] :
( ~ in(X1899,X1898)
| apply(identity_relation(X1898),X1899) = X1899 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_funct_1])]) ).
cnf(c_0_45,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
apply(identity_relation(the_carrier(esk440_0)),esk441_0) != esk441_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_39,c_0_40]),c_0_41]),c_0_34]),c_0_35]),c_0_42])]),c_0_43]) ).
cnf(c_0_47,lemma,
( apply(identity_relation(X2),X1) = X1
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,negated_conjecture,
in(esk441_0,the_carrier(esk440_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_42]),c_0_43]) ).
cnf(c_0_49,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU353+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 17:02:20 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 26.57/26.73 % Version : CSE_E---1.5
% 26.57/26.73 % Problem : theBenchmark.p
% 26.57/26.73 % Proof found
% 26.57/26.73 % SZS status Theorem for theBenchmark.p
% 26.57/26.73 % SZS output start Proof
% See solution above
% 26.57/26.75 % Total time : 26.049000 s
% 26.57/26.75 % SZS output end Proof
% 26.57/26.75 % Total time : 26.074000 s
%------------------------------------------------------------------------------