TSTP Solution File: GEO208+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:52:45 EDT 2022
% Result : Theorem 0.72s 1.21s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 11:34:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.21 *** allocated 10000 integers for termspace/termends
% 0.72/1.21 *** allocated 10000 integers for clauses
% 0.72/1.21 *** allocated 10000 integers for justifications
% 0.72/1.21 Bliksem 1.12
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 Automatic Strategy Selection
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 Clauses:
% 0.72/1.21
% 0.72/1.21 { ! distinct_points( X, X ) }.
% 0.72/1.21 { ! distinct_lines( X, X ) }.
% 0.72/1.21 { ! convergent_lines( X, X ) }.
% 0.72/1.21 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.72/1.21 ) }.
% 0.72/1.21 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.72/1.21 }.
% 0.72/1.21 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.72/1.21 , Z ) }.
% 0.72/1.21 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.72/1.21 , Y ) ) }.
% 0.72/1.21 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.72/1.21 , Y ) ) }.
% 0.72/1.21 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.72/1.21 , Y ), X ) }.
% 0.72/1.21 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.72/1.21 , Y ), Y ) }.
% 0.72/1.21 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.72/1.21 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.72/1.21 apart_point_and_line( Y, T ) }.
% 0.72/1.21 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.72/1.21 apart_point_and_line( Z, Y ) }.
% 0.72/1.21 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.72/1.21 apart_point_and_line( X, Z ) }.
% 0.72/1.21 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.72/1.21 Z ) }.
% 0.72/1.21 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 0.72/1.21 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.72/1.21 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.72/1.21 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 0.72/1.21 { ! apart_point_and_line( skol3, skol1 ) }.
% 0.72/1.21 { ! apart_point_and_line( skol3, skol2 ) }.
% 0.72/1.21 { ! convergent_lines( skol1, skol2 ) }.
% 0.72/1.21 { distinct_lines( skol1, skol2 ) }.
% 0.72/1.21
% 0.72/1.21 percentage equality = 0.000000, percentage horn = 0.619048
% 0.72/1.21 This a non-horn, non-equality problem
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 Options Used:
% 0.72/1.21
% 0.72/1.21 useres = 1
% 0.72/1.21 useparamod = 0
% 0.72/1.21 useeqrefl = 0
% 0.72/1.21 useeqfact = 0
% 0.72/1.21 usefactor = 1
% 0.72/1.21 usesimpsplitting = 0
% 0.72/1.21 usesimpdemod = 0
% 0.72/1.21 usesimpres = 3
% 0.72/1.21
% 0.72/1.21 resimpinuse = 1000
% 0.72/1.21 resimpclauses = 20000
% 0.72/1.21 substype = standard
% 0.72/1.21 backwardsubs = 1
% 0.72/1.21 selectoldest = 5
% 0.72/1.21
% 0.72/1.21 litorderings [0] = split
% 0.72/1.21 litorderings [1] = liftord
% 0.72/1.21
% 0.72/1.21 termordering = none
% 0.72/1.21
% 0.72/1.21 litapriori = 1
% 0.72/1.21 termapriori = 0
% 0.72/1.21 litaposteriori = 0
% 0.72/1.21 termaposteriori = 0
% 0.72/1.21 demodaposteriori = 0
% 0.72/1.21 ordereqreflfact = 0
% 0.72/1.21
% 0.72/1.21 litselect = none
% 0.72/1.21
% 0.72/1.21 maxweight = 15
% 0.72/1.21 maxdepth = 30000
% 0.72/1.21 maxlength = 115
% 0.72/1.21 maxnrvars = 195
% 0.72/1.21 excuselevel = 1
% 0.72/1.21 increasemaxweight = 1
% 0.72/1.21
% 0.72/1.21 maxselected = 10000000
% 0.72/1.21 maxnrclauses = 10000000
% 0.72/1.21
% 0.72/1.21 showgenerated = 0
% 0.72/1.21 showkept = 0
% 0.72/1.21 showselected = 0
% 0.72/1.21 showdeleted = 0
% 0.72/1.21 showresimp = 1
% 0.72/1.21 showstatus = 2000
% 0.72/1.21
% 0.72/1.21 prologoutput = 0
% 0.72/1.21 nrgoals = 5000000
% 0.72/1.21 totalproof = 1
% 0.72/1.21
% 0.72/1.21 Symbols occurring in the translation:
% 0.72/1.21
% 0.72/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.21 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.21 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.21 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.21 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.21 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.72/1.21 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.21 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.21 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.21 parallel_through_point [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.21 skol1 [47, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.21 skol2 [48, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.21 skol3 [49, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 Starting Search:
% 0.72/1.21
% 0.72/1.21 *** allocated 15000 integers for clauses
% 0.72/1.21 *** allocated 22500 integers for clauses
% 0.72/1.21 *** allocated 33750 integers for clauses
% 0.72/1.21 *** allocated 15000 integers for termspace/termends
% 0.72/1.21 *** allocated 50625 integers for clauses
% 0.72/1.21 Resimplifying inuse:
% 0.72/1.21 Done
% 0.72/1.21
% 0.72/1.21 *** allocated 22500 integers for termspace/termends
% 0.72/1.21
% 0.72/1.21 Bliksems!, er is een bewijs:
% 0.72/1.21 % SZS status Theorem
% 0.72/1.21 % SZS output start Refutation
% 0.72/1.21
% 0.72/1.21 (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ), convergent_lines( X
% 0.72/1.21 , Y ), apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 0.72/1.21 (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, skol1 ) }.
% 0.72/1.21 (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, skol2 ) }.
% 0.72/1.21 (19) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol2 ) }.
% 0.72/1.21 (20) {G0,W3,D2,L1,V0,M1} I { distinct_lines( skol1, skol2 ) }.
% 0.72/1.21 (249) {G1,W9,D2,L3,V1,M1} R(16,17) { convergent_lines( skol1, X ), !
% 0.72/1.21 distinct_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 0.72/1.21 (1066) {G2,W3,D2,L1,V0,M1} R(249,18);r(19) { ! distinct_lines( skol1, skol2
% 0.72/1.21 ) }.
% 0.72/1.21 (1164) {G3,W0,D0,L0,V0,M0} S(1066);r(20) { }.
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 % SZS output end Refutation
% 0.72/1.21 found a proof!
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 Unprocessed initial clauses:
% 0.72/1.21
% 0.72/1.21 (1166) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.21 (1167) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.72/1.21 (1168) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.72/1.21 (1169) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.72/1.21 , Z ), distinct_points( Y, Z ) }.
% 0.72/1.21 (1170) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 0.72/1.21 Z ), distinct_lines( Y, Z ) }.
% 0.72/1.21 (1171) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 0.72/1.21 ( X, Z ), convergent_lines( Y, Z ) }.
% 0.72/1.21 (1172) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.21 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.21 (1173) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.21 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.72/1.21 (1174) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.72/1.21 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.72/1.21 (1175) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.72/1.21 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.72/1.21 (1176) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 0.72/1.21 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.72/1.21 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.72/1.21 (1177) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.21 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.72/1.21 (1178) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.21 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.72/1.21 (1179) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.72/1.21 , Z ), convergent_lines( X, Z ) }.
% 0.72/1.21 (1180) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 0.72/1.21 , X ), Y ) }.
% 0.72/1.21 (1181) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.72/1.21 parallel_through_point( Y, X ) ) }.
% 0.72/1.21 (1182) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.72/1.21 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.72/1.21 convergent_lines( X, Y ) }.
% 0.72/1.21 (1183) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol1 ) }.
% 0.72/1.21 (1184) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol2 ) }.
% 0.72/1.21 (1185) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol2 ) }.
% 0.72/1.21 (1186) {G0,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol2 ) }.
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 Total Proof:
% 0.72/1.21
% 0.72/1.21 subsumption: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 0.72/1.21 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.72/1.21 apart_point_and_line( Z, Y ) }.
% 0.72/1.21 parent0: (1182) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.72/1.21 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.72/1.21 convergent_lines( X, Y ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 X := X
% 0.72/1.21 Y := Y
% 0.72/1.21 Z := Z
% 0.72/1.21 end
% 0.72/1.21 permutation0:
% 0.72/1.21 0 ==> 0
% 0.72/1.21 1 ==> 2
% 0.72/1.21 2 ==> 3
% 0.72/1.21 3 ==> 1
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 subsumption: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 0.72/1.21 skol1 ) }.
% 0.72/1.21 parent0: (1183) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol1
% 0.72/1.21 ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 permutation0:
% 0.72/1.21 0 ==> 0
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 subsumption: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 0.72/1.21 skol2 ) }.
% 0.72/1.21 parent0: (1184) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol2
% 0.72/1.21 ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 permutation0:
% 0.72/1.21 0 ==> 0
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 subsumption: (19) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol2
% 0.72/1.21 ) }.
% 0.72/1.21 parent0: (1185) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol2 )
% 0.72/1.21 }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 permutation0:
% 0.72/1.21 0 ==> 0
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 subsumption: (20) {G0,W3,D2,L1,V0,M1} I { distinct_lines( skol1, skol2 )
% 0.72/1.21 }.
% 0.72/1.21 parent0: (1186) {G0,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol2 ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 permutation0:
% 0.72/1.21 0 ==> 0
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 resolution: (1237) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( skol1, X ),
% 0.72/1.21 convergent_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 0.72/1.21 parent0[0]: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 0.72/1.21 skol1 ) }.
% 0.72/1.21 parent1[2]: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 0.72/1.21 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.72/1.21 apart_point_and_line( Z, Y ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 substitution1:
% 0.72/1.21 X := skol1
% 0.72/1.21 Y := X
% 0.72/1.21 Z := skol3
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 subsumption: (249) {G1,W9,D2,L3,V1,M1} R(16,17) { convergent_lines( skol1,
% 0.72/1.21 X ), ! distinct_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 0.72/1.21 parent0: (1237) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( skol1, X ),
% 0.72/1.21 convergent_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 X := X
% 0.72/1.21 end
% 0.72/1.21 permutation0:
% 0.72/1.21 0 ==> 1
% 0.72/1.21 1 ==> 0
% 0.72/1.21 2 ==> 2
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 resolution: (1239) {G1,W6,D2,L2,V0,M2} { convergent_lines( skol1, skol2 )
% 0.72/1.21 , ! distinct_lines( skol1, skol2 ) }.
% 0.72/1.21 parent0[0]: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 0.72/1.21 skol2 ) }.
% 0.72/1.21 parent1[2]: (249) {G1,W9,D2,L3,V1,M1} R(16,17) { convergent_lines( skol1, X
% 0.72/1.21 ), ! distinct_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 substitution1:
% 0.72/1.21 X := skol2
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 resolution: (1240) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 )
% 0.72/1.21 }.
% 0.72/1.21 parent0[0]: (19) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol2 )
% 0.72/1.21 }.
% 0.72/1.21 parent1[0]: (1239) {G1,W6,D2,L2,V0,M2} { convergent_lines( skol1, skol2 )
% 0.72/1.21 , ! distinct_lines( skol1, skol2 ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 substitution1:
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 subsumption: (1066) {G2,W3,D2,L1,V0,M1} R(249,18);r(19) { ! distinct_lines
% 0.72/1.21 ( skol1, skol2 ) }.
% 0.72/1.21 parent0: (1240) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 permutation0:
% 0.72/1.21 0 ==> 0
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 resolution: (1241) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.21 parent0[0]: (1066) {G2,W3,D2,L1,V0,M1} R(249,18);r(19) { ! distinct_lines(
% 0.72/1.21 skol1, skol2 ) }.
% 0.72/1.21 parent1[0]: (20) {G0,W3,D2,L1,V0,M1} I { distinct_lines( skol1, skol2 ) }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 substitution1:
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 subsumption: (1164) {G3,W0,D0,L0,V0,M0} S(1066);r(20) { }.
% 0.72/1.21 parent0: (1241) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.21 substitution0:
% 0.72/1.21 end
% 0.72/1.21 permutation0:
% 0.72/1.21 end
% 0.72/1.21
% 0.72/1.21 Proof check complete!
% 0.72/1.21
% 0.72/1.21 Memory use:
% 0.72/1.21
% 0.72/1.21 space for terms: 15858
% 0.72/1.21 space for clauses: 43752
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 clauses generated: 9448
% 0.72/1.21 clauses kept: 1165
% 0.72/1.21 clauses selected: 166
% 0.72/1.21 clauses deleted: 1
% 0.72/1.21 clauses inuse deleted: 0
% 0.72/1.21
% 0.72/1.21 subsentry: 178323
% 0.72/1.21 literals s-matched: 66369
% 0.72/1.21 literals matched: 66344
% 0.72/1.21 full subsumption: 45851
% 0.72/1.21
% 0.72/1.21 checksum: 447997338
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 Bliksem ended
%------------------------------------------------------------------------------