TSTP Solution File: SCT137+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT137+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 14:11:18 EDT 2023
% Result : Theorem 2.26s 2.43s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 204
% Syntax : Number of formulae : 214 ( 13 unt; 201 typ; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 608 ( 184 >; 424 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-5 aty)
% Number of functors : 180 ( 180 usr; 17 con; 0-8 aty)
% Number of variables : 57 ( 25 sgn; 22 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
v_F: $i ).
tff(decl_24,type,
c_Arrow__Order__Mirabelle_OIIA: $i > $o ).
tff(decl_25,type,
c_Arrow__Order__Mirabelle_Ounanimity: $i > $o ).
tff(decl_26,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
tff(decl_27,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_28,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_29,type,
tc_HOL_Obool: $i ).
tff(decl_30,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_31,type,
c_member: $i > $i ).
tff(decl_32,type,
v_P_H____: $i ).
tff(decl_33,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
tff(decl_34,type,
hBOOL: $i > $o ).
tff(decl_35,type,
v_a____: $i ).
tff(decl_36,type,
v_b____: $i ).
tff(decl_37,type,
v_P____: $i ).
tff(decl_38,type,
c_COMBC: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
c_COMBB: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Arrow__Order__Mirabelle_Obelow: $i ).
tff(decl_41,type,
v_c____: $i ).
tff(decl_42,type,
c_Product__Type_OPair: ( $i * $i ) > $i ).
tff(decl_43,type,
c_List_Olist_OCons: $i > $i ).
tff(decl_44,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_45,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_46,type,
c_Arrow__Order__Mirabelle_Odictator: ( $i * $i ) > $o ).
tff(decl_47,type,
c_fequal: $i ).
tff(decl_48,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(decl_49,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
c_FuncSet_OPi: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
c_Arrow__Order__Mirabelle_Omkbot: ( $i * $i ) > $i ).
tff(decl_52,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(decl_53,type,
c_Arrow__Order__Mirabelle_Oabove: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_COMBI: $i > $i ).
tff(decl_55,type,
c_FunDef_Oin__rel: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_56,type,
c_List_Osplice: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
c_Recdef_Osame__fst: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
c_List_Olist_Olist__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
tc_List_Olist: $i > $i ).
tff(decl_61,type,
c_List_Olexord: ( $i * $i ) > $i ).
tff(decl_62,type,
c_List_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
c_Nitpick_Orefl_H: ( $i * $i ) > $o ).
tff(decl_64,type,
c_List_Olex: ( $i * $i ) > $i ).
tff(decl_65,type,
c_List_Olistrel: ( $i * $i ) > $i ).
tff(decl_66,type,
c_List_Oappend: $i > $i ).
tff(decl_67,type,
c_List_Olistrel1: ( $i * $i ) > $i ).
tff(decl_68,type,
c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).
tff(decl_69,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_70,type,
c_List_Orotate1: ( $i * $i ) > $i ).
tff(decl_71,type,
c_List_Olexn: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
c_List_Omaps: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
c_List_Opartition: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
c_Relation_Otrans: ( $i * $i ) > $o ).
tff(decl_75,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_76,type,
c_Relation_Oirrefl: ( $i * $i ) > $o ).
tff(decl_77,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(decl_78,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(decl_79,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
c_Predicate_ORangeP: ( $i * $i * $i * $i ) > $o ).
tff(decl_82,type,
c_Predicate_ODomainP: ( $i * $i * $i * $i ) > $o ).
tff(decl_83,type,
c_Wellfounded_Oaccp: ( $i * $i ) > $i ).
tff(decl_84,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(decl_85,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(decl_86,type,
c_List_Olistsp: ( $i * $i ) > $i ).
tff(decl_87,type,
c_COMBS: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
c_fconj: $i ).
tff(decl_89,type,
c_Lattices_Osemilattice__inf__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
c_Product__Type_Oprod_Oprod__case: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
c_If: ( $i * $i ) > $i ).
tff(decl_92,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_93,type,
class_Lattices_Osemilattice__inf: $i > $o ).
tff(decl_94,type,
c_Product__Type_Oprod_Oprod__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
c_Product__Type_Ointernal__split: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
c_Product__Type_Ocurry: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
c_List_Olast: ( $i * $i ) > $i ).
tff(decl_99,type,
tc_Nat_Onat: $i ).
tff(decl_100,type,
c_List_Omeasures: ( $i * $i ) > $i ).
tff(decl_101,type,
c_List_Obutlast: ( $i * $i ) > $i ).
tff(decl_102,type,
c_fNot: $i ).
tff(decl_103,type,
c_List_OtakeWhile: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_List_OdropWhile: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
c_FuncSet_Ocompose: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
c_FuncSet_Oextensional: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_109,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_110,type,
c_FuncSet_Orestrict: ( $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_112,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_113,type,
class_Orderings_Oord: $i > $o ).
tff(decl_114,type,
c_Wellfounded_Omlex__prod: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_116,type,
c_Wellfounded_Omeasure: ( $i * $i ) > $i ).
tff(decl_117,type,
c_List_Onth: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk3_0: $i ).
tff(decl_122,type,
esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_123,type,
esk5_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
esk7_1: $i > $i ).
tff(decl_126,type,
esk8_1: $i > $i ).
tff(decl_127,type,
esk9_1: $i > $i ).
tff(decl_128,type,
esk10_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_129,type,
esk11_1: $i > $i ).
tff(decl_130,type,
esk12_1: $i > $i ).
tff(decl_131,type,
esk13_1: $i > $i ).
tff(decl_132,type,
esk14_1: $i > $i ).
tff(decl_133,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_134,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_136,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_137,type,
esk19_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_138,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_139,type,
esk21_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_140,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_141,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_142,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_145,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_146,type,
esk28_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_147,type,
esk29_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_148,type,
esk30_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_149,type,
esk31_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_150,type,
esk32_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_151,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_152,type,
esk34_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_153,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_154,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_155,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_156,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_157,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_158,type,
esk40_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_159,type,
esk41_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_160,type,
esk42_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_161,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_162,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_167,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk50_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_169,type,
esk51_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_170,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk53_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_172,type,
esk54_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_173,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_175,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
esk59_3: ( $i * $i * $i ) > $i ).
tff(decl_178,type,
esk60_3: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_180,type,
esk62_3: ( $i * $i * $i ) > $i ).
tff(decl_181,type,
esk63_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_182,type,
esk64_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_183,type,
esk65_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_184,type,
esk66_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_185,type,
esk67_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_186,type,
esk68_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_187,type,
esk69_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_188,type,
esk70_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_189,type,
esk71_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_190,type,
esk72_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_191,type,
esk73_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_192,type,
esk74_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_193,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_194,type,
esk76_3: ( $i * $i * $i ) > $i ).
tff(decl_195,type,
esk77_3: ( $i * $i * $i ) > $i ).
tff(decl_196,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_197,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_198,type,
esk80_3: ( $i * $i * $i ) > $i ).
tff(decl_199,type,
esk81_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_200,type,
esk82_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_201,type,
esk83_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_202,type,
esk84_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_203,type,
esk85_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_204,type,
esk86_3: ( $i * $i * $i ) > $i ).
tff(decl_205,type,
esk87_3: ( $i * $i * $i ) > $i ).
tff(decl_206,type,
esk88_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_207,type,
esk89_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_208,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk91_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk92_2: ( $i * $i ) > $i ).
tff(decl_211,type,
esk93_2: ( $i * $i ) > $i ).
tff(decl_212,type,
esk94_2: ( $i * $i ) > $i ).
tff(decl_213,type,
esk95_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_214,type,
esk96_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_215,type,
esk97_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_216,type,
esk98_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_217,type,
esk99_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_218,type,
esk100_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_219,type,
esk101_3: ( $i * $i * $i ) > $i ).
tff(decl_220,type,
esk102_2: ( $i * $i ) > $i ).
tff(decl_221,type,
esk103_2: ( $i * $i ) > $i ).
tff(decl_222,type,
esk104_4: ( $i * $i * $i * $i ) > $i ).
fof(fact_not__Cons__self,axiom,
! [X33,X5,X32] : X32 != hAPP(hAPP(c_List_Olist_OCons(X5),X33),X32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__Cons__self) ).
fof(help_c__COMBS__1,axiom,
! [X12,X99,X20,X5,X87,X14] : hAPP(hAPP(hAPP(c_COMBS(X14,X87,X5),X20),X99),X12) = hAPP(hAPP(X20,X12),hAPP(X99,X12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(help_c__COMBI__1,axiom,
! [X117,X5] : hAPP(c_COMBI(X5),X117) = X117,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(c_0_3,plain,
! [X226,X227,X228] : X228 != hAPP(hAPP(c_List_Olist_OCons(X227),X226),X228),
inference(variable_rename,[status(thm)],[fact_not__Cons__self]) ).
fof(c_0_4,plain,
! [X2212,X2213,X2214,X2215,X2216,X2217] : hAPP(hAPP(hAPP(c_COMBS(X2217,X2216,X2215),X2214),X2213),X2212) = hAPP(hAPP(X2214,X2212),hAPP(X2213,X2212)),
inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).
cnf(c_0_5,plain,
X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X1),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),c_List_Olist_OCons(X4)),X5),X6) != hAPP(X5,X6),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
fof(c_0_8,plain,
! [X2194,X2195] : hAPP(c_COMBI(X2195),X2194) = X2194,
inference(variable_rename,[status(thm)],[help_c__COMBI__1]) ).
cnf(c_0_9,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBS(X4,X5,X6),c_List_Olist_OCons(X7))),X8),X9) != hAPP(X9,hAPP(X8,X9)),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_10,plain,
hAPP(c_COMBI(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBS(X4,X5,X6),c_List_Olist_OCons(X7))),c_COMBI(X8)),X9) != hAPP(X9,X9),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
$false,
inference(er,[status(thm)],[c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SCT137+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 16:36:41 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 2.26/2.43 % Version : CSE_E---1.5
% 2.26/2.43 % Problem : theBenchmark.p
% 2.26/2.43 % Proof found
% 2.26/2.43 % SZS status Theorem for theBenchmark.p
% 2.26/2.43 % SZS output start Proof
% See solution above
% 2.26/2.44 % Total time : 1.815000 s
% 2.26/2.44 % SZS output end Proof
% 2.26/2.44 % Total time : 1.841000 s
%------------------------------------------------------------------------------