TSTP Solution File: SWV565-1.004 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV565-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 : Wed Jul 20 16:26:43 EDT 2022
% Result : Unsatisfiable 1.57s 1.92s
% Output : Refutation 1.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV565-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.35 % Computer : n017.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % DateTime : Wed Jun 15 00:33:09 EDT 2022
% 0.12/0.35 % CPUTime :
% 1.57/1.92 *** allocated 10000 integers for termspace/termends
% 1.57/1.92 *** allocated 10000 integers for clauses
% 1.57/1.92 *** allocated 10000 integers for justifications
% 1.57/1.92 Bliksem 1.12
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 Automatic Strategy Selection
% 1.57/1.92
% 1.57/1.92 Clauses:
% 1.57/1.92 [
% 1.57/1.92 [ =( select( store( X, Y, Z ), Y ), Z ) ],
% 1.57/1.92 [ =( X, Y ), =( select( store( Z, X, T ), Y ), select( Z, Y ) ) ],
% 1.57/1.92 [ =( store( store( X, Y, select( X, Z ) ), Z, select( X, Y ) ), store(
% 1.57/1.92 store( X, Z, select( X, Y ) ), Y, select( X, Z ) ) ) ],
% 1.57/1.92 [ =( 'a_20', store( a1, i1, 'e_19' ) ) ],
% 1.57/1.92 [ =( 'a_22', store( a2, i1, 'e_21' ) ) ],
% 1.57/1.92 [ =( 'a_24', store( 'a_20', i2, 'e_23' ) ) ],
% 1.57/1.92 [ =( 'a_26', store( 'a_22', i2, 'e_25' ) ) ],
% 1.57/1.92 [ =( 'a_28', store( 'a_24', i3, 'e_27' ) ) ],
% 1.57/1.92 [ =( 'a_30', store( 'a_26', i3, 'e_29' ) ) ],
% 1.57/1.92 [ =( 'a_32', store( 'a_28', i4, 'e_31' ) ) ],
% 1.57/1.92 [ =( 'a_34', store( 'a_30', i4, 'e_33' ) ) ],
% 1.57/1.92 [ =( 'e_19', select( a2, i1 ) ) ],
% 1.57/1.92 [ =( 'e_21', select( a1, i1 ) ) ],
% 1.57/1.92 [ =( 'e_23', select( 'a_22', i2 ) ) ],
% 1.57/1.92 [ =( 'e_25', select( 'a_20', i2 ) ) ],
% 1.57/1.92 [ =( 'e_27', select( 'a_26', i3 ) ) ],
% 1.57/1.92 [ =( 'e_29', select( 'a_24', i3 ) ) ],
% 1.57/1.92 [ =( 'e_31', select( 'a_30', i4 ) ) ],
% 1.57/1.92 [ =( 'e_33', select( 'a_28', i4 ) ) ],
% 1.57/1.92 [ =( 'e_36', select( a1, 'i_35' ) ) ],
% 1.57/1.92 [ =( 'e_37', select( a2, 'i_35' ) ) ],
% 1.57/1.92 [ =( 'i_35', sk( a1, a2 ) ) ],
% 1.57/1.92 [ =( 'a_32', 'a_34' ) ],
% 1.57/1.92 [ ~( =( 'e_36', 'e_37' ) ) ]
% 1.57/1.92 ] .
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 percentage equality = 1.000000, percentage horn = 0.958333
% 1.57/1.92 This is a pure equality problem
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 Options Used:
% 1.57/1.92
% 1.57/1.92 useres = 1
% 1.57/1.92 useparamod = 1
% 1.57/1.92 useeqrefl = 1
% 1.57/1.92 useeqfact = 1
% 1.57/1.92 usefactor = 1
% 1.57/1.92 usesimpsplitting = 0
% 1.57/1.92 usesimpdemod = 5
% 1.57/1.92 usesimpres = 3
% 1.57/1.92
% 1.57/1.92 resimpinuse = 1000
% 1.57/1.92 resimpclauses = 20000
% 1.57/1.92 substype = eqrewr
% 1.57/1.92 backwardsubs = 1
% 1.57/1.92 selectoldest = 5
% 1.57/1.92
% 1.57/1.92 litorderings [0] = split
% 1.57/1.92 litorderings [1] = extend the termordering, first sorting on arguments
% 1.57/1.92
% 1.57/1.92 termordering = kbo
% 1.57/1.92
% 1.57/1.92 litapriori = 0
% 1.57/1.92 termapriori = 1
% 1.57/1.92 litaposteriori = 0
% 1.57/1.92 termaposteriori = 0
% 1.57/1.92 demodaposteriori = 0
% 1.57/1.92 ordereqreflfact = 0
% 1.57/1.92
% 1.57/1.92 litselect = negord
% 1.57/1.92
% 1.57/1.92 maxweight = 15
% 1.57/1.92 maxdepth = 30000
% 1.57/1.92 maxlength = 115
% 1.57/1.92 maxnrvars = 195
% 1.57/1.92 excuselevel = 1
% 1.57/1.92 increasemaxweight = 1
% 1.57/1.92
% 1.57/1.92 maxselected = 10000000
% 1.57/1.92 maxnrclauses = 10000000
% 1.57/1.92
% 1.57/1.92 showgenerated = 0
% 1.57/1.92 showkept = 0
% 1.57/1.92 showselected = 0
% 1.57/1.92 showdeleted = 0
% 1.57/1.92 showresimp = 1
% 1.57/1.92 showstatus = 2000
% 1.57/1.92
% 1.57/1.92 prologoutput = 1
% 1.57/1.92 nrgoals = 5000000
% 1.57/1.92 totalproof = 1
% 1.57/1.92
% 1.57/1.92 Symbols occurring in the translation:
% 1.57/1.92
% 1.57/1.92 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.57/1.92 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 1.57/1.92 ! [4, 1] (w:0, o:38, a:1, s:1, b:0),
% 1.57/1.92 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.57/1.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.57/1.92 store [42, 3] (w:1, o:70, a:1, s:1, b:0),
% 1.57/1.92 select [43, 2] (w:1, o:68, a:1, s:1, b:0),
% 1.57/1.92 'a_20' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.57/1.92 a1 [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.57/1.92 i1 [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.57/1.92 'e_19' [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.57/1.92 'a_22' [49, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.57/1.92 a2 [50, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.57/1.92 'e_21' [51, 0] (w:1, o:19, a:1, s:1, b:0),
% 1.57/1.92 'a_24' [52, 0] (w:1, o:20, a:1, s:1, b:0),
% 1.57/1.92 i2 [53, 0] (w:1, o:21, a:1, s:1, b:0),
% 1.57/1.92 'e_23' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.57/1.92 'a_26' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.57/1.92 'e_25' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.57/1.92 'a_28' [57, 0] (w:1, o:25, a:1, s:1, b:0),
% 1.57/1.92 i3 [58, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.57/1.92 'e_27' [59, 0] (w:1, o:27, a:1, s:1, b:0),
% 1.57/1.92 'a_30' [60, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.57/1.92 'e_29' [61, 0] (w:1, o:29, a:1, s:1, b:0),
% 1.57/1.92 'a_32' [62, 0] (w:1, o:30, a:1, s:1, b:0),
% 1.57/1.92 i4 [63, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.57/1.92 'e_31' [64, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.57/1.92 'a_34' [65, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.57/1.92 'e_33' [66, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.57/1.92 'e_36' [67, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.57/1.92 'i_35' [68, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.57/1.92 'e_37' [69, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.57/1.92 sk [70, 2] (w:1, o:69, a:1, s:1, b:0).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 Starting Search:
% 1.57/1.92
% 1.57/1.92 Resimplifying inuse:
% 1.57/1.92 Done
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 Intermediate Status:
% 1.57/1.92 Generated: 23797
% 1.57/1.92 Kept: 2002
% 1.57/1.92 Inuse: 217
% 1.57/1.92 Deleted: 35
% 1.57/1.92 Deletedinuse: 8
% 1.57/1.92
% 1.57/1.92 Resimplifying inuse:
% 1.57/1.92 Done
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 Bliksems!, er is een bewijs:
% 1.57/1.92 % SZS status Unsatisfiable
% 1.57/1.92 % SZS output start Refutation
% 1.57/1.92
% 1.57/1.92 clause( 0, [ =( select( store( X, Y, Z ), Y ), Z ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1, [ =( X, Y ), =( select( store( Z, X, T ), Y ), select( Z, Y ) )
% 1.57/1.92 ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 3, [ =( store( a1, i1, 'e_19' ), 'a_20' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 4, [ =( store( a2, i1, 'e_21' ), 'a_22' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 5, [ =( store( 'a_20', i2, 'e_23' ), 'a_24' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 6, [ =( store( 'a_22', i2, 'e_25' ), 'a_26' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 7, [ =( store( 'a_24', i3, 'e_27' ), 'a_28' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 8, [ =( store( 'a_26', i3, 'e_29' ), 'a_30' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 9, [ =( store( 'a_28', i4, 'e_31' ), 'a_32' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 10, [ =( store( 'a_30', i4, 'e_33' ), 'a_34' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 11, [ =( select( a2, i1 ), 'e_19' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 12, [ =( select( a1, i1 ), 'e_21' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 13, [ =( select( 'a_22', i2 ), 'e_23' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 14, [ =( select( 'a_20', i2 ), 'e_25' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 15, [ =( select( 'a_26', i3 ), 'e_27' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 16, [ =( select( 'a_24', i3 ), 'e_29' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 17, [ =( select( 'a_30', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 18, [ =( select( 'a_28', i4 ), 'e_33' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 19, [ =( select( a1, 'i_35' ), 'e_36' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 20, [ =( select( a2, 'i_35' ), 'e_37' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 22, [ =( 'a_34', 'a_32' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 23, [ ~( =( 'e_37', 'e_36' ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 28, [ =( select( 'a_26', X ), 'e_27' ), =( select( store( Y, i3, Z
% 1.57/1.92 ), X ), select( Y, X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 29, [ =( select( 'a_26', X ), 'e_27' ), =( select( store( Y, X, Z )
% 1.57/1.92 , i3 ), select( Y, i3 ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 32, [ =( select( 'a_24', X ), 'e_29' ), =( select( store( Y, i3, Z
% 1.57/1.92 ), X ), select( Y, X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 33, [ =( select( 'a_24', X ), 'e_29' ), =( select( store( Y, X, Z )
% 1.57/1.92 , i3 ), select( Y, i3 ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 37, [ =( select( 'a_30', X ), 'e_31' ), =( select( store( Y, X, Z )
% 1.57/1.92 , i4 ), select( Y, i4 ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 47, [ =( select( a1, X ), 'e_36' ), =( select( store( Y, X, Z ),
% 1.57/1.92 'i_35' ), select( Y, 'i_35' ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 51, [ =( select( a2, X ), 'e_37' ), =( select( store( Y, X, Z ),
% 1.57/1.92 'i_35' ), select( Y, 'i_35' ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 63, [ =( select( 'a_20', X ), 'e_25' ), =( select( store( Y, X, Z )
% 1.57/1.92 , i2 ), select( Y, i2 ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 67, [ =( select( 'a_22', X ), 'e_23' ), =( select( store( Y, X, Z )
% 1.57/1.92 , i2 ), select( Y, i2 ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 71, [ =( select( a1, X ), 'e_21' ), =( select( store( Y, X, Z ), i1
% 1.57/1.92 ), select( Y, i1 ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 75, [ =( select( a2, X ), 'e_19' ), =( select( store( Y, X, Z ), i1
% 1.57/1.92 ), select( Y, i1 ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 96, [ =( store( 'a_30', i4, 'e_33' ), 'a_32' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 97, [ =( i4, X ), =( select( 'a_32', X ), select( 'a_30', X ) ) ]
% 1.57/1.92 )
% 1.57/1.92 .
% 1.57/1.92 clause( 98, [ =( select( 'a_32', i4 ), 'e_33' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 109, [ =( i4, X ), =( select( 'a_30', X ), select( 'a_28', X ) ) ]
% 1.57/1.92 )
% 1.57/1.92 .
% 1.57/1.92 clause( 110, [ =( 'e_33', 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 117, [ =( i1, X ), =( select( a1, X ), select( 'a_20', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 118, [ =( select( 'a_20', i1 ), 'e_19' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 119, [ =( store( 'a_30', i4, 'e_31' ), 'a_32' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 130, [ =( i3, X ), =( select( 'a_30', X ), select( 'a_26', X ) ) ]
% 1.57/1.92 )
% 1.57/1.92 .
% 1.57/1.92 clause( 131, [ =( select( 'a_30', i3 ), 'e_29' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 138, [ =( i1, X ), =( select( a2, X ), select( 'a_22', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 139, [ =( select( 'a_22', i1 ), 'e_21' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 154, [ =( i3, X ), =( select( 'a_28', X ), select( 'a_24', X ) ) ]
% 1.57/1.92 )
% 1.57/1.92 .
% 1.57/1.92 clause( 155, [ =( select( 'a_28', i3 ), 'e_27' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 166, [ =( i2, X ), =( select( 'a_24', X ), select( 'a_20', X ) ) ]
% 1.57/1.92 )
% 1.57/1.92 .
% 1.57/1.92 clause( 167, [ =( select( 'a_24', i2 ), 'e_23' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 178, [ =( i2, X ), =( select( 'a_26', X ), select( 'a_22', X ) ) ]
% 1.57/1.92 )
% 1.57/1.92 .
% 1.57/1.92 clause( 179, [ =( select( 'a_26', i2 ), 'e_25' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 185, [ =( select( 'a_26', X ), 'e_25' ), =( select( 'a_26', X ),
% 1.57/1.92 select( 'a_22', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 227, [ =( select( 'a_22', X ), 'e_23' ), =( select( 'a_26', X ),
% 1.57/1.92 select( 'a_22', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 246, [ =( select( 'a_26', X ), select( 'a_22', X ) ), ~( =( 'e_25'
% 1.57/1.92 , 'e_23' ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 299, [ =( select( 'a_26', X ), 'e_27' ), =( select( 'a_30', X ),
% 1.57/1.92 select( 'a_26', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 313, [ =( select( 'a_26', i4 ), 'e_27' ), =( select( 'a_32', i3 ),
% 1.57/1.92 'e_29' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 315, [ =( select( 'a_26', i4 ), 'e_27' ), =( 'e_29', 'e_27' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 357, [ =( select( 'a_24', X ), 'e_23' ), =( select( 'a_24', X ),
% 1.57/1.92 select( 'a_20', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 395, [ =( select( 'a_20', X ), 'e_25' ), =( select( 'a_24', X ),
% 1.57/1.92 select( 'a_20', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 410, [ =( select( 'a_24', X ), select( 'a_20', X ) ), ~( =( 'e_25'
% 1.57/1.92 , 'e_23' ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 466, [ =( select( 'a_24', X ), 'e_29' ), =( select( 'a_28', X ),
% 1.57/1.92 select( 'a_24', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 482, [ =( select( 'a_24', i4 ), 'e_29' ), =( select( 'a_32', i3 ),
% 1.57/1.92 'e_29' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 484, [ =( select( 'a_24', i4 ), 'e_29' ), =( 'e_29', 'e_27' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 576, [ =( select( 'a_28', X ), 'e_27' ), =( select( 'a_28', X ),
% 1.57/1.92 select( 'a_24', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 612, [ =( 'e_31', 'e_29' ), =( select( 'a_24', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 614, [ =( 'e_29', 'e_27' ), =( 'e_31', 'e_29' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 623, [ =( select( 'a_28', X ), select( 'a_24', X ) ), ~( =( 'e_29'
% 1.57/1.92 , 'e_27' ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 669, [ =( select( 'a_20', i4 ), 'e_31' ), ~( =( 'e_25', 'e_23' ) )
% 1.57/1.92 , =( 'e_31', 'e_29' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 672, [ =( 'e_31', 'e_29' ), =( 'e_31', 'e_23' ), =( select( 'a_20'
% 1.57/1.92 , i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 716, [ =( 'e_31', 'e_29' ), =( select( 'a_26', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 723, [ =( 'e_31', 'e_29' ), =( select( 'a_20', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 823, [ ~( =( 'e_29', 'e_27' ) ), =( 'e_29', 'e_27' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 824, [ ~( =( 'e_29', 'e_27' ) ), =( select( 'a_24', i4 ), 'e_31' )
% 1.57/1.92 ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 983, [ =( select( 'a_22', X ), 'e_21' ), =( select( a2, X ), select(
% 1.57/1.92 'a_22', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1004, [ =( select( a2, X ), 'e_19' ), =( select( a2, X ), select(
% 1.57/1.92 'a_22', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1014, [ =( 'e_36', 'e_21' ), =( select( 'a_22', 'i_35' ), 'e_37' )
% 1.57/1.92 ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1016, [ =( 'e_37', 'e_19' ), =( select( 'a_22', 'i_35' ), 'e_37' )
% 1.57/1.92 ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1021, [ =( select( a2, X ), select( 'a_22', X ) ), ~( =( 'e_21',
% 1.57/1.92 'e_19' ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1022, [ ~( =( select( 'a_22', X ), 'e_19' ) ), =( select( a2, X ),
% 1.57/1.92 'e_19' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1030, [ =( select( 'a_28', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1095, [ =( select( 'a_22', 'i_35' ), 'e_37' ), ~( =( 'e_21', 'e_19'
% 1.57/1.92 ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1124, [ ~( =( 'e_21', 'e_19' ) ), =( 'e_21', 'e_19' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1135, [ =( 'e_37', 'e_19' ), ~( =( 'e_37', 'e_19' ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1145, [ =( 'e_36', 'e_21' ), =( select( 'a_20', 'i_35' ), 'e_36' )
% 1.57/1.92 ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1148, [ ~( =( 'e_36', 'e_19' ) ), ~( =( 'e_37', 'e_19' ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1211, [ =( 'e_29', 'e_27' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1295, [ =( select( 'a_30', X ), select( 'a_26', X ) ), =( select(
% 1.57/1.92 'a_30', X ), 'e_27' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1326, [ =( select( 'a_30', X ), select( 'a_26', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1331, [ =( select( 'a_24', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1332, [ =( select( 'a_28', X ), select( 'a_24', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1342, [ =( select( 'a_20', i4 ), 'e_31' ), ~( =( 'e_25', 'e_23' ) )
% 1.57/1.92 ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1344, [ =( select( 'a_20', i4 ), 'e_31' ), =( 'e_27', 'e_23' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1396, [ =( select( 'a_26', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1402, [ =( select( 'a_20', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1404, [ =( select( 'a_22', i4 ), 'e_31' ), ~( =( 'e_25', 'e_23' ) )
% 1.57/1.92 ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1406, [ =( 'e_31', 'e_25' ), =( select( 'a_22', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1407, [ =( i4, i2 ), =( select( 'a_22', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1447, [ =( 'e_37', 'e_19' ), =( select( 'a_20', 'i_35' ), 'e_36' )
% 1.57/1.92 ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1450, [ =( select( 'a_20', 'i_35' ), 'e_36' ), ~( =( 'e_21', 'e_19'
% 1.57/1.92 ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1469, [ =( select( 'a_22', i4 ), 'e_31' ), =( 'e_25', 'e_23' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1476, [ =( select( 'a_22', i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1717, [ =( 'e_31', 'e_21' ), =( select( a1, i4 ), 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1722, [ =( select( a1, i4 ), 'e_31' ), =( 'e_21', 'e_19' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1874, [ =( 'e_31', 'e_25' ), =( select( 'a_32', i2 ), 'e_25' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 1876, [ =( 'e_31', 'e_25' ), =( 'e_25', 'e_23' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2048, [ =( 'e_31', 'e_23' ), =( select( 'a_32', i2 ), 'e_25' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2049, [ =( 'e_25', 'e_23' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2050, [ =( select( 'a_24', X ), select( 'a_20', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2052, [ =( select( 'a_26', X ), select( 'a_22', X ) ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2141, [ =( select( a1, i4 ), 'e_21' ), =( select( 'a_32', i1 ),
% 1.57/1.92 'e_21' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2142, [ =( 'e_21', 'e_19' ), =( 'e_31', 'e_21' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2156, [ =( store( 'a_30', i4, 'e_21' ), 'a_32' ), =( 'e_21', 'e_19'
% 1.57/1.92 ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2157, [ =( store( 'a_28', i4, 'e_21' ), 'a_32' ), =( 'e_21', 'e_19'
% 1.57/1.92 ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2241, [ =( select( a2, i4 ), 'e_19' ), =( 'e_21', 'e_19' ), =(
% 1.57/1.92 select( 'a_32', i1 ), 'e_19' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2242, [ =( select( a2, i4 ), 'e_19' ), =( 'e_21', 'e_19' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2254, [ =( i4, i1 ), =( 'e_21', 'e_19' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2261, [ =( 'e_21', 'e_19' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2262, [ =( select( 'a_20', 'i_35' ), 'e_36' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2265, [ =( select( 'a_22', 'i_35' ), 'e_37' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2344, [ =( i4, X ), =( select( 'a_22', X ), select( 'a_20', X ) ) ]
% 1.57/1.92 )
% 1.57/1.92 .
% 1.57/1.92 clause( 2358, [ =( 'e_37', 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2361, [ =( 'e_36', 'e_31' ) ] )
% 1.57/1.92 .
% 1.57/1.92 clause( 2413, [] )
% 1.57/1.92 .
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 % SZS output end Refutation
% 1.57/1.92 found a proof!
% 1.57/1.92
% 1.57/1.92 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.57/1.92
% 1.57/1.92 initialclauses(
% 1.57/1.92 [ clause( 2415, [ =( select( store( X, Y, Z ), Y ), Z ) ] )
% 1.57/1.92 , clause( 2416, [ =( X, Y ), =( select( store( Z, X, T ), Y ), select( Z, Y
% 1.57/1.92 ) ) ] )
% 1.57/1.92 , clause( 2417, [ =( store( store( X, Y, select( X, Z ) ), Z, select( X, Y
% 1.57/1.92 ) ), store( store( X, Z, select( X, Y ) ), Y, select( X, Z ) ) ) ] )
% 1.57/1.92 , clause( 2418, [ =( 'a_20', store( a1, i1, 'e_19' ) ) ] )
% 1.57/1.92 , clause( 2419, [ =( 'a_22', store( a2, i1, 'e_21' ) ) ] )
% 1.57/1.92 , clause( 2420, [ =( 'a_24', store( 'a_20', i2, 'e_23' ) ) ] )
% 1.57/1.92 , clause( 2421, [ =( 'a_26', store( 'a_22', i2, 'e_25' ) ) ] )
% 1.57/1.92 , clause( 2422, [ =( 'a_28', store( 'a_24', i3, 'e_27' ) ) ] )
% 1.57/1.92 , clause( 2423, [ =( 'a_30', store( 'a_26', i3, 'e_29' ) ) ] )
% 1.57/1.92 , clause( 2424, [ =( 'a_32', store( 'a_28', i4, 'e_31' ) ) ] )
% 1.57/1.92 , clause( 2425, [ =( 'a_34', store( 'a_30', i4, 'e_33' ) ) ] )
% 1.57/1.92 , clause( 2426, [ =( 'e_19', select( a2, i1 ) ) ] )
% 1.57/1.92 , clause( 2427, [ =( 'e_21', select( a1, i1 ) ) ] )
% 1.57/1.92 , clause( 2428, [ =( 'e_23', select( 'a_22', i2 ) ) ] )
% 1.57/1.92 , clause( 2429, [ =( 'e_25', select( 'a_20', i2 ) ) ] )
% 1.57/1.92 , clause( 2430, [ =( 'e_27', select( 'a_26', i3 ) ) ] )
% 1.57/1.92 , clause( 2431, [ =( 'e_29', select( 'a_24', i3 ) ) ] )
% 1.57/1.92 , clause( 2432, [ =( 'e_31', select( 'a_30', i4 ) ) ] )
% 1.57/1.92 , clause( 2433, [ =( 'e_33', select( 'a_28', i4 ) ) ] )
% 1.57/1.92 , clause( 2434, [ =( 'e_36', select( a1, 'i_35' ) ) ] )
% 1.57/1.92 , clause( 2435, [ =( 'e_37', select( a2, 'i_35' ) ) ] )
% 1.57/1.92 , clause( 2436, [ =( 'i_35', sk( a1, a2 ) ) ] )
% 1.57/1.92 , clause( 2437, [ =( 'a_32', 'a_34' ) ] )
% 1.57/1.92 , clause( 2438, [ ~( =( 'e_36', 'e_37' ) ) ] )
% 1.57/1.92 ] ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 0, [ =( select( store( X, Y, Z ), Y ), Z ) ] )
% 1.57/1.92 , clause( 2415, [ =( select( store( X, Y, Z ), Y ), Z ) ] )
% 1.57/1.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.57/1.92 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 1, [ =( X, Y ), =( select( store( Z, X, T ), Y ), select( Z, Y ) )
% 1.57/1.92 ] )
% 1.57/1.92 , clause( 2416, [ =( X, Y ), =( select( store( Z, X, T ), Y ), select( Z, Y
% 1.57/1.92 ) ) ] )
% 1.57/1.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.57/1.92 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2448, [ =( store( a1, i1, 'e_19' ), 'a_20' ) ] )
% 1.57/1.92 , clause( 2418, [ =( 'a_20', store( a1, i1, 'e_19' ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 3, [ =( store( a1, i1, 'e_19' ), 'a_20' ) ] )
% 1.57/1.92 , clause( 2448, [ =( store( a1, i1, 'e_19' ), 'a_20' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2454, [ =( store( a2, i1, 'e_21' ), 'a_22' ) ] )
% 1.57/1.92 , clause( 2419, [ =( 'a_22', store( a2, i1, 'e_21' ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 4, [ =( store( a2, i1, 'e_21' ), 'a_22' ) ] )
% 1.57/1.92 , clause( 2454, [ =( store( a2, i1, 'e_21' ), 'a_22' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2461, [ =( store( 'a_20', i2, 'e_23' ), 'a_24' ) ] )
% 1.57/1.92 , clause( 2420, [ =( 'a_24', store( 'a_20', i2, 'e_23' ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 5, [ =( store( 'a_20', i2, 'e_23' ), 'a_24' ) ] )
% 1.57/1.92 , clause( 2461, [ =( store( 'a_20', i2, 'e_23' ), 'a_24' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2469, [ =( store( 'a_22', i2, 'e_25' ), 'a_26' ) ] )
% 1.57/1.92 , clause( 2421, [ =( 'a_26', store( 'a_22', i2, 'e_25' ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 6, [ =( store( 'a_22', i2, 'e_25' ), 'a_26' ) ] )
% 1.57/1.92 , clause( 2469, [ =( store( 'a_22', i2, 'e_25' ), 'a_26' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2478, [ =( store( 'a_24', i3, 'e_27' ), 'a_28' ) ] )
% 1.57/1.92 , clause( 2422, [ =( 'a_28', store( 'a_24', i3, 'e_27' ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 7, [ =( store( 'a_24', i3, 'e_27' ), 'a_28' ) ] )
% 1.57/1.92 , clause( 2478, [ =( store( 'a_24', i3, 'e_27' ), 'a_28' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2488, [ =( store( 'a_26', i3, 'e_29' ), 'a_30' ) ] )
% 1.57/1.92 , clause( 2423, [ =( 'a_30', store( 'a_26', i3, 'e_29' ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 8, [ =( store( 'a_26', i3, 'e_29' ), 'a_30' ) ] )
% 1.57/1.92 , clause( 2488, [ =( store( 'a_26', i3, 'e_29' ), 'a_30' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2499, [ =( store( 'a_28', i4, 'e_31' ), 'a_32' ) ] )
% 1.57/1.92 , clause( 2424, [ =( 'a_32', store( 'a_28', i4, 'e_31' ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 9, [ =( store( 'a_28', i4, 'e_31' ), 'a_32' ) ] )
% 1.57/1.92 , clause( 2499, [ =( store( 'a_28', i4, 'e_31' ), 'a_32' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2511, [ =( store( 'a_30', i4, 'e_33' ), 'a_34' ) ] )
% 1.57/1.92 , clause( 2425, [ =( 'a_34', store( 'a_30', i4, 'e_33' ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 10, [ =( store( 'a_30', i4, 'e_33' ), 'a_34' ) ] )
% 1.57/1.92 , clause( 2511, [ =( store( 'a_30', i4, 'e_33' ), 'a_34' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2524, [ =( select( a2, i1 ), 'e_19' ) ] )
% 1.57/1.92 , clause( 2426, [ =( 'e_19', select( a2, i1 ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 11, [ =( select( a2, i1 ), 'e_19' ) ] )
% 1.57/1.92 , clause( 2524, [ =( select( a2, i1 ), 'e_19' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2538, [ =( select( a1, i1 ), 'e_21' ) ] )
% 1.57/1.92 , clause( 2427, [ =( 'e_21', select( a1, i1 ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 12, [ =( select( a1, i1 ), 'e_21' ) ] )
% 1.57/1.92 , clause( 2538, [ =( select( a1, i1 ), 'e_21' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2553, [ =( select( 'a_22', i2 ), 'e_23' ) ] )
% 1.57/1.92 , clause( 2428, [ =( 'e_23', select( 'a_22', i2 ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 13, [ =( select( 'a_22', i2 ), 'e_23' ) ] )
% 1.57/1.92 , clause( 2553, [ =( select( 'a_22', i2 ), 'e_23' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2569, [ =( select( 'a_20', i2 ), 'e_25' ) ] )
% 1.57/1.92 , clause( 2429, [ =( 'e_25', select( 'a_20', i2 ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 14, [ =( select( 'a_20', i2 ), 'e_25' ) ] )
% 1.57/1.92 , clause( 2569, [ =( select( 'a_20', i2 ), 'e_25' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2586, [ =( select( 'a_26', i3 ), 'e_27' ) ] )
% 1.57/1.92 , clause( 2430, [ =( 'e_27', select( 'a_26', i3 ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 15, [ =( select( 'a_26', i3 ), 'e_27' ) ] )
% 1.57/1.92 , clause( 2586, [ =( select( 'a_26', i3 ), 'e_27' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 eqswap(
% 1.57/1.92 clause( 2604, [ =( select( 'a_24', i3 ), 'e_29' ) ] )
% 1.57/1.92 , clause( 2431, [ =( 'e_29', select( 'a_24', i3 ) ) ] )
% 1.57/1.92 , 0, substitution( 0, [] )).
% 1.57/1.92
% 1.57/1.92
% 1.57/1.92 subsumption(
% 1.57/1.92 clause( 16, [ =( select( 'a_24', i3 ), 'e_29' ) ] )
% 1.57/1.92 , clause( 2604, [ =( select( 'a_24', i3 ), 'e_29' ) ] )
% 1.57/1.92 , substitution( 0, [] ), permutation( 0, [ ==Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------