TSTP Solution File: NUM463+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM463+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : Mon Jul 18 06:22:31 EDT 2022
% Result : Theorem 163.62s 164.00s
% Output : Refutation 163.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM463+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jul 6 19:04:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.61 *** allocated 10000 integers for termspace/termends
% 0.73/1.61 *** allocated 10000 integers for clauses
% 0.73/1.61 *** allocated 10000 integers for justifications
% 0.73/1.61 Bliksem 1.12
% 0.73/1.61
% 0.73/1.61
% 0.73/1.61 Automatic Strategy Selection
% 0.73/1.61
% 0.73/1.61
% 0.73/1.61 Clauses:
% 0.73/1.61
% 0.73/1.61 { && }.
% 0.73/1.61 { aNaturalNumber0( sz00 ) }.
% 0.73/1.61 { aNaturalNumber0( sz10 ) }.
% 0.73/1.61 { ! sz10 = sz00 }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.73/1.61 ( X, Y ) ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.73/1.61 ( X, Y ) ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.73/1.61 sdtpldt0( Y, X ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.61 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.73/1.61 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.73/1.61 sdtasdt0( Y, X ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.61 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.73/1.61 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.73/1.61 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.61 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.73/1.61 , Z ) ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.61 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.73/1.61 , X ) ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.61 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.61 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.73/1.61 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.73/1.61 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.73/1.61 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.73/1.61 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.73/1.61 , X = sz00 }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.73/1.61 , Y = sz00 }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.73/1.61 , X = sz00, Y = sz00 }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.73/1.61 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.73/1.61 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.61 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.73/1.61 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.73/1.61 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.73/1.61 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.73/1.61 sdtlseqdt0( Y, X ), X = Y }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.61 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.73/1.61 X }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.73/1.61 sdtlseqdt0( Y, X ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.73/1.61 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.73/1.61 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.73/1.61 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.73/1.61 ) ) }.
% 0.73/1.61 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.73/1.61 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.73/1.61 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 39.02/39.44 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 39.02/39.44 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 39.02/39.44 ) }.
% 39.02/39.44 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 39.02/39.44 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 39.02/39.44 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 39.02/39.44 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 39.02/39.44 sdtasdt0( Z, X ) ) }.
% 39.02/39.44 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 39.02/39.44 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 39.02/39.44 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 39.02/39.44 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 39.02/39.44 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 39.02/39.44 ) }.
% 39.02/39.44 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 39.02/39.44 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 39.02/39.44 { aNaturalNumber0( xm ) }.
% 39.02/39.44 { aNaturalNumber0( xn ) }.
% 39.02/39.44 { ! xm = sz00 }.
% 39.02/39.44 { ! aNaturalNumber0( X ), ! sdtpldt0( xn, X ) = sdtasdt0( xn, xm ) }.
% 39.02/39.44 { ! sdtlseqdt0( xn, sdtasdt0( xn, xm ) ) }.
% 39.02/39.44
% 39.02/39.44 percentage equality = 0.317460, percentage horn = 0.781818
% 39.02/39.44 This is a problem with some equality
% 39.02/39.44
% 39.02/39.44
% 39.02/39.44
% 39.02/39.44 Options Used:
% 39.02/39.44
% 39.02/39.44 useres = 1
% 39.02/39.44 useparamod = 1
% 39.02/39.44 useeqrefl = 1
% 39.02/39.44 useeqfact = 1
% 39.02/39.44 usefactor = 1
% 39.02/39.44 usesimpsplitting = 0
% 39.02/39.44 usesimpdemod = 5
% 39.02/39.44 usesimpres = 3
% 39.02/39.44
% 39.02/39.44 resimpinuse = 1000
% 39.02/39.44 resimpclauses = 20000
% 39.02/39.44 substype = eqrewr
% 39.02/39.44 backwardsubs = 1
% 39.02/39.44 selectoldest = 5
% 39.02/39.44
% 39.02/39.44 litorderings [0] = split
% 39.02/39.44 litorderings [1] = extend the termordering, first sorting on arguments
% 39.02/39.44
% 39.02/39.44 termordering = kbo
% 39.02/39.44
% 39.02/39.44 litapriori = 0
% 39.02/39.44 termapriori = 1
% 39.02/39.44 litaposteriori = 0
% 39.02/39.44 termaposteriori = 0
% 39.02/39.44 demodaposteriori = 0
% 39.02/39.44 ordereqreflfact = 0
% 39.02/39.44
% 39.02/39.44 litselect = negord
% 39.02/39.44
% 39.02/39.44 maxweight = 15
% 39.02/39.44 maxdepth = 30000
% 39.02/39.44 maxlength = 115
% 39.02/39.44 maxnrvars = 195
% 39.02/39.44 excuselevel = 1
% 39.02/39.44 increasemaxweight = 1
% 39.02/39.44
% 39.02/39.44 maxselected = 10000000
% 39.02/39.44 maxnrclauses = 10000000
% 39.02/39.44
% 39.02/39.44 showgenerated = 0
% 39.02/39.44 showkept = 0
% 39.02/39.44 showselected = 0
% 39.02/39.44 showdeleted = 0
% 39.02/39.44 showresimp = 1
% 39.02/39.44 showstatus = 2000
% 39.02/39.44
% 39.02/39.44 prologoutput = 0
% 39.02/39.44 nrgoals = 5000000
% 39.02/39.44 totalproof = 1
% 39.02/39.44
% 39.02/39.44 Symbols occurring in the translation:
% 39.02/39.44
% 39.02/39.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 39.02/39.44 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 39.02/39.44 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 39.02/39.44 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 39.02/39.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 39.02/39.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 39.02/39.44 aNaturalNumber0 [36, 1] (w:1, o:18, a:1, s:1, b:0),
% 39.02/39.44 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 39.02/39.44 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 39.02/39.44 sdtpldt0 [40, 2] (w:1, o:43, a:1, s:1, b:0),
% 39.02/39.44 sdtasdt0 [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 39.02/39.44 sdtlseqdt0 [43, 2] (w:1, o:45, a:1, s:1, b:0),
% 39.02/39.44 sdtmndt0 [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 39.02/39.44 xm [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 39.02/39.44 xn [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 39.02/39.44 alpha1 [47, 3] (w:1, o:48, a:1, s:1, b:1),
% 39.02/39.44 alpha2 [48, 3] (w:1, o:49, a:1, s:1, b:1),
% 39.02/39.44 skol1 [49, 2] (w:1, o:47, a:1, s:1, b:1).
% 39.02/39.44
% 39.02/39.44
% 39.02/39.44 Starting Search:
% 39.02/39.44
% 39.02/39.44 *** allocated 15000 integers for clauses
% 39.02/39.44 *** allocated 22500 integers for clauses
% 39.02/39.44 *** allocated 33750 integers for clauses
% 39.02/39.44 *** allocated 50625 integers for clauses
% 39.02/39.44 *** allocated 15000 integers for termspace/termends
% 39.02/39.44 *** allocated 75937 integers for clauses
% 39.02/39.44 Resimplifying inuse:
% 39.02/39.44 Done
% 39.02/39.44
% 39.02/39.44 *** allocated 22500 integers for termspace/termends
% 39.02/39.44 *** allocated 113905 integers for clauses
% 39.02/39.44 *** allocated 33750 integers for termspace/termends
% 39.02/39.44 *** allocated 170857 integers for clauses
% 39.02/39.44
% 39.02/39.44 Intermediate Status:
% 39.02/39.44 Generated: 9603
% 39.02/39.44 Kept: 2003
% 39.02/39.44 Inuse: 104
% 39.02/39.44 Deleted: 9
% 39.02/39.44 Deletedinuse: 9
% 39.02/39.44
% 39.02/39.44 Resimplifying inuse:
% 39.02/39.44 Done
% 39.02/39.44
% 39.02/39.44 *** allocated 50625 integers for termspace/termends
% 39.02/39.44 *** allocated 256285 integers for clauses
% 39.02/39.44 Resimplifying inuse:
% 39.02/39.44 Done
% 39.02/39.44
% 39.02/39.44 *** allocated 75937 integers for termspace/termends
% 39.02/39.44
% 39.02/39.44 Intermediate Status:
% 39.02/39.44 Generated: 24630
% 39.02/39.44 Kept: 4012
% 39.02/39.44 Inuse: 165
% 39.02/39.44 Deleted: 15
% 39.02/39.44 Deletedinuse: 10
% 39.02/39.44
% 39.02/39.44 Resimplifying inuse:
% 39.02/39.44 Done
% 117.30/117.74
% 117.30/117.74 *** allocated 384427 integers for clauses
% 117.30/117.74 *** allocated 113905 integers for termspace/termends
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 47391
% 117.30/117.74 Kept: 6033
% 117.30/117.74 Inuse: 202
% 117.30/117.74 Deleted: 21
% 117.30/117.74 Deletedinuse: 12
% 117.30/117.74
% 117.30/117.74 *** allocated 170857 integers for termspace/termends
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 *** allocated 576640 integers for clauses
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 69046
% 117.30/117.74 Kept: 8036
% 117.30/117.74 Inuse: 266
% 117.30/117.74 Deleted: 36
% 117.30/117.74 Deletedinuse: 13
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 108031
% 117.30/117.74 Kept: 10060
% 117.30/117.74 Inuse: 343
% 117.30/117.74 Deleted: 44
% 117.30/117.74 Deletedinuse: 14
% 117.30/117.74
% 117.30/117.74 *** allocated 864960 integers for clauses
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 *** allocated 256285 integers for termspace/termends
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 134451
% 117.30/117.74 Kept: 12188
% 117.30/117.74 Inuse: 391
% 117.30/117.74 Deleted: 95
% 117.30/117.74 Deletedinuse: 15
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 196251
% 117.30/117.74 Kept: 14218
% 117.30/117.74 Inuse: 486
% 117.30/117.74 Deleted: 146
% 117.30/117.74 Deletedinuse: 20
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 *** allocated 1297440 integers for clauses
% 117.30/117.74 *** allocated 384427 integers for termspace/termends
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 217390
% 117.30/117.74 Kept: 17101
% 117.30/117.74 Inuse: 519
% 117.30/117.74 Deleted: 147
% 117.30/117.74 Deletedinuse: 20
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 230583
% 117.30/117.74 Kept: 20259
% 117.30/117.74 Inuse: 542
% 117.30/117.74 Deleted: 159
% 117.30/117.74 Deletedinuse: 20
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying clauses:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 238871
% 117.30/117.74 Kept: 22267
% 117.30/117.74 Inuse: 548
% 117.30/117.74 Deleted: 5562
% 117.30/117.74 Deletedinuse: 109
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 *** allocated 1946160 integers for clauses
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 245429
% 117.30/117.74 Kept: 25194
% 117.30/117.74 Inuse: 557
% 117.30/117.74 Deleted: 5562
% 117.30/117.74 Deletedinuse: 109
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 *** allocated 576640 integers for termspace/termends
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 256247
% 117.30/117.74 Kept: 27416
% 117.30/117.74 Inuse: 580
% 117.30/117.74 Deleted: 5562
% 117.30/117.74 Deletedinuse: 109
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 273270
% 117.30/117.74 Kept: 29418
% 117.30/117.74 Inuse: 618
% 117.30/117.74 Deleted: 5564
% 117.30/117.74 Deletedinuse: 111
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 284386
% 117.30/117.74 Kept: 31473
% 117.30/117.74 Inuse: 645
% 117.30/117.74 Deleted: 5576
% 117.30/117.74 Deletedinuse: 116
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 291021
% 117.30/117.74 Kept: 33777
% 117.30/117.74 Inuse: 667
% 117.30/117.74 Deleted: 5579
% 117.30/117.74 Deletedinuse: 116
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 303386
% 117.30/117.74 Kept: 35867
% 117.30/117.74 Inuse: 719
% 117.30/117.74 Deleted: 5638
% 117.30/117.74 Deletedinuse: 173
% 117.30/117.74
% 117.30/117.74 *** allocated 2919240 integers for clauses
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 319045
% 117.30/117.74 Kept: 37910
% 117.30/117.74 Inuse: 741
% 117.30/117.74 Deleted: 5684
% 117.30/117.74 Deletedinuse: 214
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 *** allocated 864960 integers for termspace/termends
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 335142
% 117.30/117.74 Kept: 40053
% 117.30/117.74 Inuse: 793
% 117.30/117.74 Deleted: 5691
% 117.30/117.74 Deletedinuse: 214
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying clauses:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 365304
% 117.30/117.74 Kept: 42085
% 117.30/117.74 Inuse: 843
% 117.30/117.74 Deleted: 14196
% 117.30/117.74 Deletedinuse: 216
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 391143
% 117.30/117.74 Kept: 44216
% 117.30/117.74 Inuse: 943
% 117.30/117.74 Deleted: 14202
% 117.30/117.74 Deletedinuse: 222
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 399589
% 117.30/117.74 Kept: 46270
% 117.30/117.74 Inuse: 955
% 117.30/117.74 Deleted: 14202
% 117.30/117.74 Deletedinuse: 222
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 406619
% 117.30/117.74 Kept: 48456
% 117.30/117.74 Inuse: 967
% 117.30/117.74 Deleted: 14202
% 117.30/117.74 Deletedinuse: 222
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74 Resimplifying inuse:
% 117.30/117.74 Done
% 117.30/117.74
% 117.30/117.74
% 117.30/117.74 Intermediate Status:
% 117.30/117.74 Generated: 413692
% 117.30/117.74 Kept: 50496
% 117.30/117.74 Inuse: 978
% 163.62/164.00 Deleted: 14202
% 163.62/164.00 Deletedinuse: 222
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 422146
% 163.62/164.00 Kept: 52640
% 163.62/164.00 Inuse: 992
% 163.62/164.00 Deleted: 14202
% 163.62/164.00 Deletedinuse: 222
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 *** allocated 4378860 integers for clauses
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 436304
% 163.62/164.00 Kept: 54966
% 163.62/164.00 Inuse: 1021
% 163.62/164.00 Deleted: 14202
% 163.62/164.00 Deletedinuse: 222
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 484275
% 163.62/164.00 Kept: 57123
% 163.62/164.00 Inuse: 1130
% 163.62/164.00 Deleted: 14202
% 163.62/164.00 Deletedinuse: 222
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 494533
% 163.62/164.00 Kept: 59305
% 163.62/164.00 Inuse: 1146
% 163.62/164.00 Deleted: 14207
% 163.62/164.00 Deletedinuse: 222
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 509357
% 163.62/164.00 Kept: 61427
% 163.62/164.00 Inuse: 1171
% 163.62/164.00 Deleted: 14212
% 163.62/164.00 Deletedinuse: 222
% 163.62/164.00
% 163.62/164.00 Resimplifying clauses:
% 163.62/164.00 *** allocated 1297440 integers for termspace/termends
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 530661
% 163.62/164.00 Kept: 63601
% 163.62/164.00 Inuse: 1220
% 163.62/164.00 Deleted: 16268
% 163.62/164.00 Deletedinuse: 282
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 560748
% 163.62/164.00 Kept: 65755
% 163.62/164.00 Inuse: 1274
% 163.62/164.00 Deleted: 16278
% 163.62/164.00 Deletedinuse: 292
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 581048
% 163.62/164.00 Kept: 68033
% 163.62/164.00 Inuse: 1312
% 163.62/164.00 Deleted: 16280
% 163.62/164.00 Deletedinuse: 292
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 594997
% 163.62/164.00 Kept: 70035
% 163.62/164.00 Inuse: 1334
% 163.62/164.00 Deleted: 16289
% 163.62/164.00 Deletedinuse: 292
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 609361
% 163.62/164.00 Kept: 72058
% 163.62/164.00 Inuse: 1356
% 163.62/164.00 Deleted: 16296
% 163.62/164.00 Deletedinuse: 292
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 643696
% 163.62/164.00 Kept: 74224
% 163.62/164.00 Inuse: 1417
% 163.62/164.00 Deleted: 16302
% 163.62/164.00 Deletedinuse: 292
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 668839
% 163.62/164.00 Kept: 76395
% 163.62/164.00 Inuse: 1457
% 163.62/164.00 Deleted: 16307
% 163.62/164.00 Deletedinuse: 296
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 696004
% 163.62/164.00 Kept: 78456
% 163.62/164.00 Inuse: 1507
% 163.62/164.00 Deleted: 16312
% 163.62/164.00 Deletedinuse: 300
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 710935
% 163.62/164.00 Kept: 80462
% 163.62/164.00 Inuse: 1524
% 163.62/164.00 Deleted: 16312
% 163.62/164.00 Deletedinuse: 300
% 163.62/164.00
% 163.62/164.00 *** allocated 6568290 integers for clauses
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying clauses:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 727866
% 163.62/164.00 Kept: 82537
% 163.62/164.00 Inuse: 1530
% 163.62/164.00 Deleted: 28505
% 163.62/164.00 Deletedinuse: 300
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 742578
% 163.62/164.00 Kept: 84629
% 163.62/164.00 Inuse: 1564
% 163.62/164.00 Deleted: 28507
% 163.62/164.00 Deletedinuse: 302
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 763039
% 163.62/164.00 Kept: 86645
% 163.62/164.00 Inuse: 1608
% 163.62/164.00 Deleted: 28507
% 163.62/164.00 Deletedinuse: 302
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 814167
% 163.62/164.00 Kept: 88667
% 163.62/164.00 Inuse: 1738
% 163.62/164.00 Deleted: 28507
% 163.62/164.00 Deletedinuse: 302
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 829845
% 163.62/164.00 Kept: 90887
% 163.62/164.00 Inuse: 1778
% 163.62/164.00 Deleted: 28507
% 163.62/164.00 Deletedinuse: 302
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 *** allocated 1946160 integers for termspace/termends
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 840584
% 163.62/164.00 Kept: 92896
% 163.62/164.00 Inuse: 1818
% 163.62/164.00 Deleted: 28509
% 163.62/164.00 Deletedinuse: 304
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 852942
% 163.62/164.00 Kept: 94928
% 163.62/164.00 Inuse: 1853
% 163.62/164.00 Deleted: 28509
% 163.62/164.00 Deletedinuse: 304
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 862545
% 163.62/164.00 Kept: 97415
% 163.62/164.00 Inuse: 1873
% 163.62/164.00 Deleted: 28509
% 163.62/164.00 Deletedinuse: 304
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 890918
% 163.62/164.00 Kept: 99418
% 163.62/164.00 Inuse: 1935
% 163.62/164.00 Deleted: 28509
% 163.62/164.00 Deletedinuse: 304
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 911405
% 163.62/164.00 Kept: 101543
% 163.62/164.00 Inuse: 1965
% 163.62/164.00 Deleted: 28509
% 163.62/164.00 Deletedinuse: 304
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying clauses:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 930436
% 163.62/164.00 Kept: 103684
% 163.62/164.00 Inuse: 2001
% 163.62/164.00 Deleted: 29978
% 163.62/164.00 Deletedinuse: 304
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 939229
% 163.62/164.00 Kept: 105751
% 163.62/164.00 Inuse: 2017
% 163.62/164.00 Deleted: 29978
% 163.62/164.00 Deletedinuse: 304
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 964242
% 163.62/164.00 Kept: 107913
% 163.62/164.00 Inuse: 2078
% 163.62/164.00 Deleted: 29982
% 163.62/164.00 Deletedinuse: 308
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 988826
% 163.62/164.00 Kept: 110210
% 163.62/164.00 Inuse: 2128
% 163.62/164.00 Deleted: 29982
% 163.62/164.00 Deletedinuse: 308
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Intermediate Status:
% 163.62/164.00 Generated: 1002208
% 163.62/164.00 Kept: 112527
% 163.62/164.00 Inuse: 2148
% 163.62/164.00 Deleted: 29982
% 163.62/164.00 Deletedinuse: 308
% 163.62/164.00
% 163.62/164.00 Resimplifying inuse:
% 163.62/164.00 Done
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Bliksems!, er is een bewijs:
% 163.62/164.00 % SZS status Theorem
% 163.62/164.00 % SZS output start Refutation
% 163.62/164.00
% 163.62/164.00 (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 163.62/164.00 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 163.62/164.00 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 163.62/164.00 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 163.62/164.00 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 163.62/164.00 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 163.62/164.00 (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 163.62/164.00 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 163.62/164.00 (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) ==>
% 163.62/164.00 X }.
% 163.62/164.00 (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( sz00, X ) ==>
% 163.62/164.00 X }.
% 163.62/164.00 (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 163.62/164.00 (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 163.62/164.00 ==> X }.
% 163.62/164.00 (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( sz10, X )
% 163.62/164.00 ==> X }.
% 163.62/164.00 (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( sz00, X )
% 163.62/164.00 ==> sz00 }.
% 163.62/164.00 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.00 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 163.62/164.00 sdtasdt0( X, Z ), Y = Z }.
% 163.62/164.00 (21) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.00 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 163.62/164.00 sdtasdt0( Z, X ), Y = Z }.
% 163.62/164.00 (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 163.62/164.00 (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 163.62/164.00 }.
% 163.62/164.00 (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 163.62/164.00 }.
% 163.62/164.00 (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 163.62/164.00 }.
% 163.62/164.00 (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 163.62/164.00 , Z = sdtmndt0( Y, X ) }.
% 163.62/164.00 (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 163.62/164.00 (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 163.62/164.00 (33) {G0,W15,D2,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 163.62/164.00 sdtlseqdt0( X, Z ) }.
% 163.62/164.00 (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 163.62/164.00 (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 163.62/164.00 (43) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 163.62/164.00 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 163.62/164.00 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 163.62/164.00 (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 163.62/164.00 sz10 = X }.
% 163.62/164.00 (49) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 163.62/164.00 sdtlseqdt0( sz10, X ) }.
% 163.62/164.00 (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 163.62/164.00 (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 163.62/164.00 (52) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 163.62/164.00 (54) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn, xm ) ) }.
% 163.62/164.00 (75) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.00 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 163.62/164.00 (81) {G1,W17,D3,L5,V2,M5} F(21) { ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.00 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, X ), X = Y }.
% 163.62/164.00 (90) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 163.62/164.00 (93) {G1,W11,D3,L4,V2,M4} Q(28) { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( sdtmndt0( Y, X ) ) }.
% 163.62/164.00 (94) {G2,W6,D3,L2,V1,M2} F(93);r(31) { ! aNaturalNumber0( X ),
% 163.62/164.00 aNaturalNumber0( sdtmndt0( X, X ) ) }.
% 163.62/164.00 (101) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X ), !
% 163.62/164.00 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0(
% 163.62/164.00 sdtpldt0( X, Y ), X ) ==> Y }.
% 163.62/164.00 (102) {G2,W9,D4,L2,V1,M2} F(101);r(90) { ! aNaturalNumber0( X ), sdtmndt0(
% 163.62/164.00 sdtpldt0( X, X ), X ) ==> X }.
% 163.62/164.00 (142) {G1,W3,D2,L1,V0,M1} R(31,1) { sdtlseqdt0( sz00, sz00 ) }.
% 163.62/164.00 (145) {G1,W3,D2,L1,V0,M1} R(31,51) { sdtlseqdt0( xn, xn ) }.
% 163.62/164.00 (165) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ), aNaturalNumber0
% 163.62/164.00 ( sdtasdt0( xm, X ) ) }.
% 163.62/164.00 (166) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ), aNaturalNumber0
% 163.62/164.00 ( sdtasdt0( X, xm ) ) }.
% 163.62/164.00 (210) {G2,W4,D3,L1,V0,M1} R(165,2) { aNaturalNumber0( sdtasdt0( xm, sz10 )
% 163.62/164.00 ) }.
% 163.62/164.00 (307) {G2,W4,D3,L1,V0,M1} R(166,2) { aNaturalNumber0( sdtasdt0( sz10, xm )
% 163.62/164.00 ) }.
% 163.62/164.00 (419) {G1,W7,D3,L2,V0,M2} P(10,54);r(51) { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 163.62/164.00 xn ) ), ! aNaturalNumber0( xm ) }.
% 163.62/164.00 (635) {G1,W5,D3,L1,V0,M1} R(12,50) { sdtasdt0( xm, sz10 ) ==> xm }.
% 163.62/164.00 (636) {G1,W5,D3,L1,V0,M1} R(12,51) { sdtasdt0( xn, sz10 ) ==> xn }.
% 163.62/164.00 (685) {G3,W5,D3,L1,V0,M1} R(13,210);d(635) { sdtasdt0( sz10, xm ) ==> xm
% 163.62/164.00 }.
% 163.62/164.00 (721) {G4,W5,D3,L1,V0,M1} R(15,307);d(685) { sdtasdt0( sz00, xm ) ==> sz00
% 163.62/164.00 }.
% 163.62/164.00 (1274) {G3,W4,D3,L1,V0,M1} R(94,1) { aNaturalNumber0( sdtmndt0( sz00, sz00
% 163.62/164.00 ) ) }.
% 163.62/164.00 (1522) {G1,W17,D3,L5,V2,M5} R(20,51) { ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.00 aNaturalNumber0( Y ), ! sdtasdt0( X, xn ) = sdtasdt0( X, Y ), xn = Y }.
% 163.62/164.00 (1575) {G2,W15,D3,L4,V1,M4} E(1522);f { ! xn ==> sz00, ! aNaturalNumber0( X
% 163.62/164.00 ), X = sz00, ! sdtasdt0( X, xn ) = sdtasdt0( X, X ) }.
% 163.62/164.00 (1578) {G3,W6,D2,L2,V0,M2} Q(1575);r(51) { ! xn ==> sz00, xn ==> sz00 }.
% 163.62/164.00 (1593) {G5,W3,D2,L1,V0,M1} P(1578,54);d(721);r(142) { ! xn ==> sz00 }.
% 163.62/164.00 (2644) {G1,W9,D3,L3,V2,M3} R(27,6);f;f;r(4) { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ) }.
% 163.62/164.00 (2652) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 163.62/164.00 (2692) {G2,W5,D2,L2,V1,M2} F(2652);q { ! aNaturalNumber0( X ), sdtlseqdt0(
% 163.62/164.00 sz00, X ) }.
% 163.62/164.00 (2776) {G3,W3,D2,L1,V0,M1} R(2692,51) { sdtlseqdt0( sz00, xn ) }.
% 163.62/164.00 (2811) {G4,W9,D3,L3,V1,M3} R(28,2776);r(1) { ! aNaturalNumber0( xn ), ! X =
% 163.62/164.00 sdtmndt0( xn, sz00 ), aNaturalNumber0( X ) }.
% 163.62/164.00 (2865) {G1,W20,D4,L6,V4,M6} R(28,4) { ! aNaturalNumber0( X ), ! sdtlseqdt0
% 163.62/164.00 ( X, sdtpldt0( Y, Z ) ), ! T = sdtmndt0( sdtpldt0( Y, Z ), X ),
% 163.62/164.00 aNaturalNumber0( T ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 163.62/164.00 (2904) {G2,W13,D4,L4,V3,M4} F(2865);r(2644) { ! aNaturalNumber0( X ), ! Z =
% 163.62/164.00 sdtmndt0( sdtpldt0( Y, X ), X ), aNaturalNumber0( Z ), ! aNaturalNumber0
% 163.62/164.00 ( Y ) }.
% 163.62/164.00 (2905) {G3,W7,D2,L3,V2,M3} F(2904);d(102) { ! aNaturalNumber0( X ),
% 163.62/164.00 aNaturalNumber0( Y ), ! Y = X }.
% 163.62/164.00 (2935) {G5,W4,D3,L1,V0,M1} Q(2811);r(51) { aNaturalNumber0( sdtmndt0( xn,
% 163.62/164.00 sz00 ) ) }.
% 163.62/164.00 (3095) {G1,W20,D3,L7,V3,M7} P(29,23);f { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), ! Z = sz00, Y = sz00, ! aNaturalNumber0( Z ), !
% 163.62/164.00 sdtlseqdt0( X, Z ), ! Y = sdtmndt0( Z, X ) }.
% 163.62/164.00 (3156) {G2,W15,D3,L5,V2,M5} F(3095);r(31) { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), ! X = sz00, Y = sz00, ! Y = sdtmndt0( X, X ) }.
% 163.62/164.00 (3160) {G3,W10,D3,L3,V1,M3} Q(3156);r(94) { ! aNaturalNumber0( X ), ! X =
% 163.62/164.00 sz00, sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.00 (3161) {G4,W5,D3,L1,V0,M1} Q(3160);r(1) { sdtmndt0( sz00, sz00 ) ==> sz00
% 163.62/164.00 }.
% 163.62/164.00 (3203) {G3,W12,D3,L4,V2,M4} R(30,2692);f;d(9);r(1) { ! aNaturalNumber0( X )
% 163.62/164.00 , ! aNaturalNumber0( Y ), Y = sdtmndt0( X, sz00 ), ! Y = X }.
% 163.62/164.00 (3209) {G5,W15,D3,L5,V2,M5} R(30,1274);d(3161);d(3161);d(8) { !
% 163.62/164.00 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 163.62/164.00 sdtmndt0( Y, X ) ==> sz00, ! X = Y }.
% 163.62/164.00 (3288) {G6,W7,D3,L2,V1,M2} F(3209);q;r(31) { ! aNaturalNumber0( X ),
% 163.62/164.00 sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.00 (3289) {G4,W7,D3,L2,V1,M2} F(3203);q { ! aNaturalNumber0( X ), sdtmndt0( X
% 163.62/164.00 , sz00 ) ==> X }.
% 163.62/164.00 (3382) {G1,W15,D3,L5,V2,M5} P(32,13);r(2) { ! aNaturalNumber0( Y ),
% 163.62/164.00 sdtasdt0( X, Y ) ==> Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( sz10, X ),
% 163.62/164.00 ! sdtlseqdt0( X, sz10 ) }.
% 163.62/164.00 (3383) {G1,W15,D3,L5,V2,M5} P(32,12);r(2) { ! aNaturalNumber0( Y ),
% 163.62/164.00 sdtasdt0( Y, X ) ==> Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( sz10, X ),
% 163.62/164.00 ! sdtlseqdt0( X, sz10 ) }.
% 163.62/164.00 (3470) {G1,W22,D3,L7,V4,M7} R(33,29);f;f { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 163.62/164.00 sdtlseqdt0( Y, Z ), ! T = sdtmndt0( Z, X ), sdtpldt0( X, T ) = Z }.
% 163.62/164.00 (3509) {G7,W10,D3,L3,V2,M3} F(3470);f;f;d(3288);r(31) { ! aNaturalNumber0(
% 163.62/164.00 X ), sdtpldt0( X, Y ) ==> X, ! Y = sz00 }.
% 163.62/164.00 (3551) {G6,W12,D3,L3,V1,M3} R(34,2935) { ! aNaturalNumber0( X ), sdtlseqdt0
% 163.62/164.00 ( sdtmndt0( xn, sz00 ), X ), ! X = sdtmndt0( xn, sz00 ) }.
% 163.62/164.00 (3627) {G1,W8,D2,L3,V1,M3} R(34,2) { ! aNaturalNumber0( X ), sdtlseqdt0(
% 163.62/164.00 sz10, X ), ! X = sz10 }.
% 163.62/164.00 (6705) {G1,W9,D2,L3,V0,M3} R(48,50) { xm ==> sz00, xm ==> sz10, ! xm ==>
% 163.62/164.00 sz10 }.
% 163.62/164.00 (6805) {G2,W8,D2,L3,V0,M3} P(48,54);d(636);d(6705);r(145) { xm ==> sz00, !
% 163.62/164.00 xm ==> sz10, ! aNaturalNumber0( sz10 ) }.
% 163.62/164.00 (6910) {G2,W8,D2,L3,V1,M3} S(49);r(3627) { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.00 , sdtlseqdt0( sz10, X ) }.
% 163.62/164.00 (13025) {G4,W13,D2,L5,V3,M5} R(2905,34) { ! aNaturalNumber0( X ), ! Y = X,
% 163.62/164.00 ! aNaturalNumber0( Z ), sdtlseqdt0( Z, Y ), ! Y = Z }.
% 163.62/164.00 (13108) {G4,W5,D2,L2,V1,M2} R(2905,2) { aNaturalNumber0( X ), ! X = sz10
% 163.62/164.00 }.
% 163.62/164.00 (13110) {G4,W5,D2,L2,V1,M2} R(2905,51) { aNaturalNumber0( X ), ! X = xn }.
% 163.62/164.00 (13119) {G5,W8,D2,L3,V2,M3} F(13025);f { ! aNaturalNumber0( X ), ! Y = X,
% 163.62/164.00 sdtlseqdt0( X, Y ) }.
% 163.62/164.00 (18460) {G5,W5,D3,L1,V0,M1} R(3289,51) { sdtmndt0( xn, sz00 ) ==> xn }.
% 163.62/164.00 (20558) {G3,W3,D2,L1,V0,M1} S(6805);r(52);r(2) { ! xm ==> sz10 }.
% 163.62/164.00 (20610) {G7,W6,D2,L2,V1,M2} S(3551);d(18460);d(18460);r(13110) { sdtlseqdt0
% 163.62/164.00 ( xn, X ), ! X = xn }.
% 163.62/164.00 (20659) {G6,W12,D3,L4,V2,M4} S(3209);r(13119) { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), sdtmndt0( Y, X ) ==> sz00, ! X = Y }.
% 163.62/164.00 (20698) {G2,W5,D3,L1,V0,M1} S(419);r(50) { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 163.62/164.00 xn ) ) }.
% 163.62/164.00 (20721) {G5,W11,D2,L4,V1,M4} P(32,20558);r(13108) { ! X = sz10, !
% 163.62/164.00 aNaturalNumber0( xm ), ! sdtlseqdt0( X, xm ), ! sdtlseqdt0( xm, X ) }.
% 163.62/164.00 (20745) {G6,W6,D2,L2,V0,M2} Q(20721);r(50) { ! sdtlseqdt0( sz10, xm ), !
% 163.62/164.00 sdtlseqdt0( xm, sz10 ) }.
% 163.62/164.00 (29091) {G8,W11,D2,L4,V2,M4} R(20610,29);d(20659);d(3509);r(51) { ! X = xn
% 163.62/164.00 , ! aNaturalNumber0( X ), ! Y = sz00, xn = X }.
% 163.62/164.00 (29094) {G9,W6,D2,L2,V1,M2} Q(29091);r(13110) { ! X = xn, xn = X }.
% 163.62/164.00 (29118) {G10,W8,D3,L2,V1,M2} P(29094,20698) { ! sdtlseqdt0( X, sdtasdt0( xm
% 163.62/164.00 , X ) ), ! X = xn }.
% 163.62/164.00 (29467) {G7,W13,D2,L5,V1,M5} P(81,20745);d(3382);d(3383);r(6910) { !
% 163.62/164.00 sdtlseqdt0( X, sz10 ), ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.00 aNaturalNumber0( xm ), ! X = xm }.
% 163.62/164.00 (29477) {G8,W6,D2,L2,V0,M2} F(29467);q;r(50) { ! sdtlseqdt0( xm, sz10 ), xm
% 163.62/164.00 ==> sz00 }.
% 163.62/164.00 (29611) {G9,W3,D2,L1,V0,M1} S(29477);r(52) { ! sdtlseqdt0( xm, sz10 ) }.
% 163.62/164.00 (29614) {G10,W5,D2,L2,V0,M2} R(29611,35);r(50) { ! aNaturalNumber0( sz10 )
% 163.62/164.00 , sdtlseqdt0( sz10, xm ) }.
% 163.62/164.00 (29732) {G11,W3,D2,L1,V0,M1} S(29614);r(2) { sdtlseqdt0( sz10, xm ) }.
% 163.62/164.00 (29849) {G12,W15,D3,L5,V1,M5} R(29732,43);d(13);r(2) { ! aNaturalNumber0( X
% 163.62/164.00 ), ! aNaturalNumber0( xm ), X = sz00, xm ==> sz10, sdtlseqdt0( X,
% 163.62/164.00 sdtasdt0( xm, X ) ) }.
% 163.62/164.00 (40999) {G13,W10,D3,L3,V1,M3} S(29849);r(50);r(20558) { ! aNaturalNumber0(
% 163.62/164.00 X ), X = sz00, sdtlseqdt0( X, sdtasdt0( xm, X ) ) }.
% 163.62/164.00 (113218) {G14,W14,D3,L4,V1,M4} R(29118,75);r(40999) { ! aNaturalNumber0( X
% 163.62/164.00 ), X = sz00, ! aNaturalNumber0( xn ), ! sdtasdt0( X, X ) = sdtasdt0( X,
% 163.62/164.00 xn ) }.
% 163.62/164.00 (113229) {G15,W3,D2,L1,V0,M1} F(113218);q;r(51) { xn ==> sz00 }.
% 163.62/164.00 (113230) {G16,W0,D0,L0,V0,M0} S(113229);r(1593) { }.
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 % SZS output end Refutation
% 163.62/164.00 found a proof!
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Unprocessed initial clauses:
% 163.62/164.00
% 163.62/164.00 (113232) {G0,W1,D1,L1,V0,M1} { && }.
% 163.62/164.00 (113233) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 163.62/164.00 (113234) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 163.62/164.00 (113235) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 163.62/164.00 (113236) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 163.62/164.00 Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 163.62/164.00 (113237) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 163.62/164.00 Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 163.62/164.00 (113238) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 163.62/164.00 (113239) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0
% 163.62/164.00 ( X, sdtpldt0( Y, Z ) ) }.
% 163.62/164.00 (113240) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 163.62/164.00 = X }.
% 163.62/164.00 (113241) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00
% 163.62/164.00 , X ) }.
% 163.62/164.00 (113242) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 163.62/164.00 (113243) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0
% 163.62/164.00 ( X, sdtasdt0( Y, Z ) ) }.
% 163.62/164.00 (113244) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 163.62/164.00 = X }.
% 163.62/164.00 (113245) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10
% 163.62/164.00 , X ) }.
% 163.62/164.00 (113246) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 163.62/164.00 = sz00 }.
% 163.62/164.00 (113247) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 163.62/164.00 sz00, X ) }.
% 163.62/164.00 (113248) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0
% 163.62/164.00 ( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 163.62/164.00 (113249) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0
% 163.62/164.00 ( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 163.62/164.00 (113250) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y =
% 163.62/164.00 Z }.
% 163.62/164.00 (113251) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y =
% 163.62/164.00 Z }.
% 163.62/164.00 (113252) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.00 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 163.62/164.00 sdtasdt0( X, Z ), Y = Z }.
% 163.62/164.00 (113253) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.00 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 163.62/164.00 sdtasdt0( Z, X ), Y = Z }.
% 163.62/164.00 (113254) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 163.62/164.00 (113255) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 163.62/164.00 (113256) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 163.62/164.00 (113257) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 163.62/164.00 (113258) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 163.62/164.00 (113259) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 163.62/164.00 }.
% 163.62/164.00 (113260) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 163.62/164.00 }.
% 163.62/164.00 (113261) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 163.62/164.00 }.
% 163.62/164.00 (113262) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) =
% 163.62/164.00 Y, Z = sdtmndt0( Y, X ) }.
% 163.62/164.00 (113263) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 163.62/164.00 }.
% 163.62/164.00 (113264) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 163.62/164.00 (113265) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z )
% 163.62/164.00 , sdtlseqdt0( X, Z ) }.
% 163.62/164.00 (113266) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 163.62/164.00 (113267) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 163.62/164.00 (113268) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y
% 163.62/164.00 , Z ) }.
% 163.62/164.00 (113269) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 163.62/164.00 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 163.62/164.00 (113270) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 163.62/164.00 sdtpldt0( Z, Y ) }.
% 163.62/164.00 (113271) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0
% 163.62/164.00 ( Z, X ), sdtpldt0( Z, Y ) ) }.
% 163.62/164.00 (113272) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 163.62/164.00 sdtpldt0( Y, Z ) }.
% 163.62/164.00 (113273) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 163.62/164.00 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 163.62/164.00 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 163.62/164.00 (113274) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 163.62/164.00 alpha2( X, Y, Z ) }.
% 163.62/164.00 (113275) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 163.62/164.00 ( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 163.62/164.00 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 163.62/164.00 (113276) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 163.62/164.00 sdtasdt0( X, Z ) }.
% 163.62/164.00 (113277) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0
% 163.62/164.00 ( X, Y ), sdtasdt0( X, Z ) ) }.
% 163.62/164.00 (113278) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 163.62/164.00 sdtasdt0( Z, X ) }.
% 163.62/164.00 (113279) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 163.62/164.00 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 163.62/164.00 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 163.62/164.00 (113280) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 163.62/164.00 , ! sz10 = X }.
% 163.62/164.00 (113281) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 163.62/164.00 , sdtlseqdt0( sz10, X ) }.
% 163.62/164.00 (113282) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 163.62/164.00 (113283) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 163.62/164.00 (113284) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 163.62/164.00 (113285) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xn, X )
% 163.62/164.00 = sdtasdt0( xn, xm ) }.
% 163.62/164.00 (113286) {G0,W5,D3,L1,V0,M1} { ! sdtlseqdt0( xn, sdtasdt0( xn, xm ) ) }.
% 163.62/164.00
% 163.62/164.00
% 163.62/164.00 Total Proof:
% 163.62/164.00
% 163.62/164.00 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 163.62/164.00 parent0: (113233) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 163.62/164.00 parent0: (113234) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 163.62/164.00 parent0: (113236) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 Y := Y
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 1 ==> 1
% 163.62/164.00 2 ==> 2
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 163.62/164.00 parent0: (113237) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 Y := Y
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 1 ==> 1
% 163.62/164.00 2 ==> 2
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 163.62/164.00 parent0: (113238) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 Y := Y
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 1 ==> 1
% 163.62/164.00 2 ==> 2
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 163.62/164.00 X, sz00 ) ==> X }.
% 163.62/164.00 parent0: (113240) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0(
% 163.62/164.00 X, sz00 ) = X }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 1 ==> 1
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 eqswap: (113324) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 163.62/164.00 aNaturalNumber0( X ) }.
% 163.62/164.00 parent0[1]: (113241) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 163.62/164.00 sdtpldt0( sz00, X ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 163.62/164.00 sz00, X ) ==> X }.
% 163.62/164.00 parent0: (113324) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 163.62/164.00 aNaturalNumber0( X ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 1
% 163.62/164.00 1 ==> 0
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 163.62/164.00 parent0: (113242) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.00 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 Y := Y
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 1 ==> 1
% 163.62/164.00 2 ==> 2
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 163.62/164.00 ( X, sz10 ) ==> X }.
% 163.62/164.00 parent0: (113244) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0(
% 163.62/164.00 X, sz10 ) = X }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 1 ==> 1
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 eqswap: (113393) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 163.62/164.00 aNaturalNumber0( X ) }.
% 163.62/164.00 parent0[1]: (113245) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 163.62/164.00 sdtasdt0( sz10, X ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 163.62/164.00 ( sz10, X ) ==> X }.
% 163.62/164.00 parent0: (113393) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 163.62/164.00 aNaturalNumber0( X ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 1
% 163.62/164.00 1 ==> 0
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 eqswap: (113422) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 163.62/164.00 aNaturalNumber0( X ) }.
% 163.62/164.00 parent0[1]: (113247) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 =
% 163.62/164.00 sdtasdt0( sz00, X ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 163.62/164.00 ( sz00, X ) ==> sz00 }.
% 163.62/164.00 parent0: (113422) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 163.62/164.00 aNaturalNumber0( X ) }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 1
% 163.62/164.00 1 ==> 0
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.00 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 163.62/164.00 sdtasdt0( X, Z ), Y = Z }.
% 163.62/164.00 parent0: (113252) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.00 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 163.62/164.00 sdtasdt0( X, Z ), Y = Z }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 Y := Y
% 163.62/164.00 Z := Z
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 1 ==> 1
% 163.62/164.00 2 ==> 2
% 163.62/164.00 3 ==> 3
% 163.62/164.00 4 ==> 4
% 163.62/164.00 5 ==> 5
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (21) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.00 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 163.62/164.00 sdtasdt0( Z, X ), Y = Z }.
% 163.62/164.00 parent0: (113253) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.00 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 163.62/164.00 sdtasdt0( Z, X ), Y = Z }.
% 163.62/164.00 substitution0:
% 163.62/164.00 X := X
% 163.62/164.00 Y := Y
% 163.62/164.00 Z := Z
% 163.62/164.00 end
% 163.62/164.00 permutation0:
% 163.62/164.00 0 ==> 0
% 163.62/164.00 1 ==> 1
% 163.62/164.00 2 ==> 2
% 163.62/164.00 3 ==> 3
% 163.62/164.00 4 ==> 4
% 163.62/164.00 5 ==> 5
% 163.62/164.00 end
% 163.62/164.00
% 163.62/164.00 subsumption: (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 163.62/164.01 parent0: (113255) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 Y := Y
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.01 1 ==> 1
% 163.62/164.01 2 ==> 2
% 163.62/164.01 3 ==> 3
% 163.62/164.01 end
% 163.62/164.01
% 163.62/164.01 subsumption: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 163.62/164.01 sdtlseqdt0( X, Y ) }.
% 163.62/164.01 parent0: (113259) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 163.62/164.01 sdtlseqdt0( X, Y ) }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 Y := Y
% 163.62/164.01 Z := Z
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.01 1 ==> 1
% 163.62/164.01 2 ==> 2
% 163.62/164.01 3 ==> 3
% 163.62/164.01 4 ==> 4
% 163.62/164.01 end
% 163.62/164.01
% 163.62/164.01 subsumption: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 163.62/164.01 aNaturalNumber0( Z ) }.
% 163.62/164.01 parent0: (113260) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 163.62/164.01 aNaturalNumber0( Z ) }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 Y := Y
% 163.62/164.01 Z := Z
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.01 1 ==> 1
% 163.62/164.01 2 ==> 2
% 163.62/164.01 3 ==> 3
% 163.62/164.01 4 ==> 4
% 163.62/164.01 end
% 163.62/164.01
% 163.62/164.01 subsumption: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 163.62/164.01 sdtpldt0( X, Z ) = Y }.
% 163.62/164.01 parent0: (113261) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 163.62/164.01 sdtpldt0( X, Z ) = Y }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 Y := Y
% 163.62/164.01 Z := Z
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.01 1 ==> 1
% 163.62/164.01 2 ==> 2
% 163.62/164.01 3 ==> 3
% 163.62/164.01 4 ==> 4
% 163.62/164.01 end
% 163.62/164.01
% 163.62/164.01 subsumption: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 163.62/164.01 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 163.62/164.01 parent0: (113262) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 163.62/164.01 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 Y := Y
% 163.62/164.01 Z := Z
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.01 1 ==> 1
% 163.62/164.01 2 ==> 2
% 163.62/164.01 3 ==> 3
% 163.62/164.01 4 ==> 4
% 163.62/164.01 5 ==> 5
% 163.62/164.01 end
% 163.62/164.01
% 163.62/164.01 subsumption: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 163.62/164.01 sdtlseqdt0( X, X ) }.
% 163.62/164.01 parent0: (113263) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 163.62/164.01 ( X, X ) }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.01 1 ==> 1
% 163.62/164.01 end
% 163.62/164.01
% 163.62/164.01 subsumption: (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 163.62/164.01 }.
% 163.62/164.01 parent0: (113264) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 163.62/164.01 }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 Y := Y
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.01 1 ==> 1
% 163.62/164.01 2 ==> 2
% 163.62/164.01 3 ==> 3
% 163.62/164.01 4 ==> 4
% 163.62/164.01 end
% 163.62/164.01
% 163.62/164.01 subsumption: (33) {G0,W15,D2,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 163.62/164.01 sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 163.62/164.01 parent0: (113265) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 163.62/164.01 sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 Y := Y
% 163.62/164.01 Z := Z
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.01 1 ==> 1
% 163.62/164.01 2 ==> 2
% 163.62/164.01 3 ==> 3
% 163.62/164.01 4 ==> 4
% 163.62/164.01 5 ==> 5
% 163.62/164.01 end
% 163.62/164.01
% 163.62/164.01 subsumption: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 163.62/164.01 parent0: (113266) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 Y := Y
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.01 1 ==> 1
% 163.62/164.01 2 ==> 2
% 163.62/164.01 3 ==> 3
% 163.62/164.01 end
% 163.62/164.01
% 163.62/164.01 subsumption: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 163.62/164.01 parent0: (113267) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.01 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 163.62/164.01 substitution0:
% 163.62/164.01 X := X
% 163.62/164.01 Y := Y
% 163.62/164.01 end
% 163.62/164.01 permutation0:
% 163.62/164.01 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 3 ==> 3
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (43) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, !
% 163.62/164.02 sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 163.62/164.02 parent0: (113275) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, !
% 163.62/164.02 sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := Z
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 3 ==> 3
% 163.62/164.02 4 ==> 4
% 163.62/164.02 5 ==> 5
% 163.62/164.02 6 ==> 6
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.02 , X = sz10, ! sz10 = X }.
% 163.62/164.02 parent0: (113280) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.02 , X = sz10, ! sz10 = X }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 3 ==> 3
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (49) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.02 , X = sz10, sdtlseqdt0( sz10, X ) }.
% 163.62/164.02 parent0: (113281) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.02 , X = sz10, sdtlseqdt0( sz10, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 3 ==> 3
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 163.62/164.02 parent0: (113282) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 163.62/164.02 parent0: (113283) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (52) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 163.62/164.02 parent0: (113284) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (54) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn,
% 163.62/164.02 xm ) ) }.
% 163.62/164.02 parent0: (113286) {G0,W5,D3,L1,V0,M1} { ! sdtlseqdt0( xn, sdtasdt0( xn, xm
% 163.62/164.02 ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117325) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00,
% 163.62/164.02 ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 163.62/164.02 parent0[0, 2]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X =
% 163.62/164.02 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y )
% 163.62/164.02 = sdtasdt0( X, Z ), Y = Z }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := X
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (75) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X =
% 163.62/164.02 sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X =
% 163.62/164.02 Y }.
% 163.62/164.02 parent0: (117325) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.02 , ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 3 ==> 3
% 163.62/164.02 4 ==> 4
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117350) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00,
% 163.62/164.02 ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, X ), X = Y }.
% 163.62/164.02 parent0[0, 2]: (21) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X =
% 163.62/164.02 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X )
% 163.62/164.02 = sdtasdt0( Z, X ), Y = Z }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := X
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (81) {G1,W17,D3,L5,V2,M5} F(21) { ! aNaturalNumber0( X ), X =
% 163.62/164.02 sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, X ), X =
% 163.62/164.02 Y }.
% 163.62/164.02 parent0: (117350) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.02 , ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, X ), X = Y
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 3 ==> 3
% 163.62/164.02 4 ==> 4
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117372) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 163.62/164.02 sdtlseqdt0( X, Z ) }.
% 163.62/164.02 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 163.62/164.02 sdtlseqdt0( X, Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqrefl: (117373) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 163.62/164.02 X, sdtpldt0( X, Y ) ) }.
% 163.62/164.02 parent0[0]: (117372) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 163.62/164.02 sdtlseqdt0( X, Z ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := sdtpldt0( X, Y )
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117378) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[1]: (117373) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 163.62/164.02 X, sdtpldt0( X, Y ) ) }.
% 163.62/164.02 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117380) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 163.62/164.02 aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[0, 3]: (117378) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117382) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 163.62/164.02 parent0[1, 3]: (117380) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 163.62/164.02 aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (90) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ),
% 163.62/164.02 ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 163.62/164.02 parent0: (117382) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117384) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 163.62/164.02 aNaturalNumber0( Z ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Z
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqrefl: (117385) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), aNaturalNumber0( sdtmndt0( X
% 163.62/164.02 , Y ) ) }.
% 163.62/164.02 parent0[0]: (117384) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sdtmndt0( X, Y )
% 163.62/164.02 Y := X
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (93) {G1,W11,D3,L4,V2,M4} Q(28) { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( sdtmndt0( Y
% 163.62/164.02 , X ) ) }.
% 163.62/164.02 parent0: (117385) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), aNaturalNumber0( sdtmndt0( X
% 163.62/164.02 , Y ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 3 ==> 3
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117387) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, X ), aNaturalNumber0( sdtmndt0( X, X ) ) }.
% 163.62/164.02 parent0[0, 1]: (93) {G1,W11,D3,L4,V2,M4} Q(28) { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( sdtmndt0( Y
% 163.62/164.02 , X ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117388) {G1,W8,D3,L3,V1,M3} { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtmndt0( X, X ) ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (117387) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, X ), aNaturalNumber0( sdtmndt0( X, X ) ) }.
% 163.62/164.02 parent1[1]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 163.62/164.02 ( X, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117389) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtmndt0( X, X ) ) }.
% 163.62/164.02 parent0[0, 2]: (117388) {G1,W8,D3,L3,V1,M3} { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtmndt0( X, X ) ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (94) {G2,W6,D3,L2,V1,M2} F(93);r(31) { ! aNaturalNumber0( X )
% 163.62/164.02 , aNaturalNumber0( sdtmndt0( X, X ) ) }.
% 163.62/164.02 parent0: (117389) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtmndt0( X, X ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117390) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 163.62/164.02 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 163.62/164.02 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 163.62/164.02 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqrefl: (117393) {G0,W20,D4,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( X, Y ) ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) )
% 163.62/164.02 , ! aNaturalNumber0( Y ), Y = sdtmndt0( sdtpldt0( X, Y ), X ) }.
% 163.62/164.02 parent0[0]: (117390) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 163.62/164.02 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := sdtpldt0( X, Y )
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117401) {G1,W20,D4,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), Y = sdtmndt0(
% 163.62/164.02 sdtpldt0( X, Y ), X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[1]: (117393) {G0,W20,D4,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( X, Y ) ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) )
% 163.62/164.02 , ! aNaturalNumber0( Y ), Y = sdtmndt0( sdtpldt0( X, Y ), X ) }.
% 163.62/164.02 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117402) {G1,W20,D4,L6,V2,M6} { sdtmndt0( sdtpldt0( Y, X ), Y ) =
% 163.62/164.02 X, ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, sdtpldt0( Y, X ) ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[3]: (117401) {G1,W20,D4,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), Y = sdtmndt0(
% 163.62/164.02 sdtpldt0( X, Y ), X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117404) {G1,W18,D4,L5,V2,M5} { sdtmndt0( sdtpldt0( X, Y ), X ) =
% 163.62/164.02 Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[1, 4]: (117402) {G1,W20,D4,L6,V2,M6} { sdtmndt0( sdtpldt0( Y, X )
% 163.62/164.02 , Y ) = X, ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, sdtpldt0( Y, X ) ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117406) {G1,W16,D4,L4,V2,M4} { sdtmndt0( sdtpldt0( X, Y ), X ) =
% 163.62/164.02 Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 163.62/164.02 aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[3, 4]: (117404) {G1,W18,D4,L5,V2,M5} { sdtmndt0( sdtpldt0( X, Y )
% 163.62/164.02 , X ) = Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (101) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X )
% 163.62/164.02 , ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0(
% 163.62/164.02 sdtpldt0( X, Y ), X ) ==> Y }.
% 163.62/164.02 parent0: (117406) {G1,W16,D4,L4,V2,M4} { sdtmndt0( sdtpldt0( X, Y ), X ) =
% 163.62/164.02 Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 163.62/164.02 aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 3
% 163.62/164.02 1 ==> 0
% 163.62/164.02 2 ==> 1
% 163.62/164.02 3 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117415) {G1,W14,D4,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, sdtpldt0( X, X ) ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X
% 163.62/164.02 }.
% 163.62/164.02 parent0[0, 2]: (101) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X
% 163.62/164.02 ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0
% 163.62/164.02 ( sdtpldt0( X, Y ), X ) ==> Y }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117416) {G2,W13,D4,L4,V1,M4} { ! aNaturalNumber0( X ),
% 163.62/164.02 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (117415) {G1,W14,D4,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, sdtpldt0( X, X ) ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X
% 163.62/164.02 }.
% 163.62/164.02 parent1[2]: (90) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117420) {G2,W11,D4,L3,V1,M3} { ! aNaturalNumber0( X ), sdtmndt0(
% 163.62/164.02 sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[0, 2]: (117416) {G2,W13,D4,L4,V1,M4} { ! aNaturalNumber0( X ),
% 163.62/164.02 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117421) {G2,W9,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0(
% 163.62/164.02 sdtpldt0( X, X ), X ) ==> X }.
% 163.62/164.02 parent0[0, 2]: (117420) {G2,W11,D4,L3,V1,M3} { ! aNaturalNumber0( X ),
% 163.62/164.02 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (102) {G2,W9,D4,L2,V1,M2} F(101);r(90) { ! aNaturalNumber0( X
% 163.62/164.02 ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X }.
% 163.62/164.02 parent0: (117421) {G2,W9,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0(
% 163.62/164.02 sdtpldt0( X, X ), X ) ==> X }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117422) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, sz00 ) }.
% 163.62/164.02 parent0[0]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 163.62/164.02 ( X, X ) }.
% 163.62/164.02 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sz00
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (142) {G1,W3,D2,L1,V0,M1} R(31,1) { sdtlseqdt0( sz00, sz00 )
% 163.62/164.02 }.
% 163.62/164.02 parent0: (117422) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, sz00 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117423) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xn ) }.
% 163.62/164.02 parent0[0]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 163.62/164.02 ( X, X ) }.
% 163.62/164.02 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := xn
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (145) {G1,W3,D2,L1,V0,M1} R(31,51) { sdtlseqdt0( xn, xn ) }.
% 163.62/164.02 parent0: (117423) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117424) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 163.62/164.02 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 163.62/164.02 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := xm
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (165) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 163.62/164.02 parent0: (117424) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117427) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 163.62/164.02 parent0[1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 163.62/164.02 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := xm
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (166) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 163.62/164.02 parent0: (117427) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117428) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 163.62/164.02 sz10 ) ) }.
% 163.62/164.02 parent0[0]: (165) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 163.62/164.02 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sz10
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (210) {G2,W4,D3,L1,V0,M1} R(165,2) { aNaturalNumber0( sdtasdt0
% 163.62/164.02 ( xm, sz10 ) ) }.
% 163.62/164.02 parent0: (117428) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 163.62/164.02 sz10 ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117429) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( sz10
% 163.62/164.02 , xm ) ) }.
% 163.62/164.02 parent0[0]: (166) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 163.62/164.02 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sz10
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (307) {G2,W4,D3,L1,V0,M1} R(166,2) { aNaturalNumber0( sdtasdt0
% 163.62/164.02 ( sz10, xm ) ) }.
% 163.62/164.02 parent0: (117429) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( sz10,
% 163.62/164.02 xm ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (117430) {G1,W9,D3,L3,V0,M3} { ! sdtlseqdt0( xn, sdtasdt0( xm, xn
% 163.62/164.02 ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xm ) }.
% 163.62/164.02 parent0[2]: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 163.62/164.02 parent1[0; 3]: (54) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn
% 163.62/164.02 , xm ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := xn
% 163.62/164.02 Y := xm
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117470) {G1,W7,D3,L2,V0,M2} { ! sdtlseqdt0( xn, sdtasdt0( xm
% 163.62/164.02 , xn ) ), ! aNaturalNumber0( xm ) }.
% 163.62/164.02 parent0[1]: (117430) {G1,W9,D3,L3,V0,M3} { ! sdtlseqdt0( xn, sdtasdt0( xm
% 163.62/164.02 , xn ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xm ) }.
% 163.62/164.02 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (419) {G1,W7,D3,L2,V0,M2} P(10,54);r(51) { ! sdtlseqdt0( xn,
% 163.62/164.02 sdtasdt0( xm, xn ) ), ! aNaturalNumber0( xm ) }.
% 163.62/164.02 parent0: (117470) {G1,W7,D3,L2,V0,M2} { ! sdtlseqdt0( xn, sdtasdt0( xm, xn
% 163.62/164.02 ) ), ! aNaturalNumber0( xm ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117471) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 163.62/164.02 X, sz10 ) ==> X }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117472) {G1,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xm, sz10 ) }.
% 163.62/164.02 parent0[1]: (117471) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := xm
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117473) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> xm }.
% 163.62/164.02 parent0[0]: (117472) {G1,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xm, sz10 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (635) {G1,W5,D3,L1,V0,M1} R(12,50) { sdtasdt0( xm, sz10 ) ==>
% 163.62/164.02 xm }.
% 163.62/164.02 parent0: (117473) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> xm }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117474) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 163.62/164.02 X, sz10 ) ==> X }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117475) {G1,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xn, sz10 ) }.
% 163.62/164.02 parent0[1]: (117474) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := xn
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117476) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xn, sz10 ) ==> xn }.
% 163.62/164.02 parent0[0]: (117475) {G1,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xn, sz10 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (636) {G1,W5,D3,L1,V0,M1} R(12,51) { sdtasdt0( xn, sz10 ) ==>
% 163.62/164.02 xn }.
% 163.62/164.02 parent0: (117476) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xn, sz10 ) ==> xn }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117477) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( sz10, X ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 163.62/164.02 sz10, X ) ==> X }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117479) {G1,W9,D4,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 163.62/164.02 sdtasdt0( sz10, sdtasdt0( xm, sz10 ) ) }.
% 163.62/164.02 parent0[1]: (117477) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( sz10, X ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent1[0]: (210) {G2,W4,D3,L1,V0,M1} R(165,2) { aNaturalNumber0( sdtasdt0
% 163.62/164.02 ( xm, sz10 ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sdtasdt0( xm, sz10 )
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (117481) {G2,W7,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> sdtasdt0
% 163.62/164.02 ( sz10, xm ) }.
% 163.62/164.02 parent0[0]: (635) {G1,W5,D3,L1,V0,M1} R(12,50) { sdtasdt0( xm, sz10 ) ==>
% 163.62/164.02 xm }.
% 163.62/164.02 parent1[0; 6]: (117479) {G1,W9,D4,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 163.62/164.02 sdtasdt0( sz10, sdtasdt0( xm, sz10 ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (117482) {G2,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( sz10, xm ) }.
% 163.62/164.02 parent0[0]: (635) {G1,W5,D3,L1,V0,M1} R(12,50) { sdtasdt0( xm, sz10 ) ==>
% 163.62/164.02 xm }.
% 163.62/164.02 parent1[0; 1]: (117481) {G2,W7,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 163.62/164.02 sdtasdt0( sz10, xm ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117484) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz10, xm ) ==> xm }.
% 163.62/164.02 parent0[0]: (117482) {G2,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( sz10, xm ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (685) {G3,W5,D3,L1,V0,M1} R(13,210);d(635) { sdtasdt0( sz10,
% 163.62/164.02 xm ) ==> xm }.
% 163.62/164.02 parent0: (117484) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz10, xm ) ==> xm }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117486) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 163.62/164.02 sz00, X ) ==> sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117488) {G1,W7,D4,L1,V0,M1} { sz00 ==> sdtasdt0( sz00,
% 163.62/164.02 sdtasdt0( sz10, xm ) ) }.
% 163.62/164.02 parent0[1]: (117486) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent1[0]: (307) {G2,W4,D3,L1,V0,M1} R(166,2) { aNaturalNumber0( sdtasdt0
% 163.62/164.02 ( sz10, xm ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sdtasdt0( sz10, xm )
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (117489) {G2,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, xm ) }.
% 163.62/164.02 parent0[0]: (685) {G3,W5,D3,L1,V0,M1} R(13,210);d(635) { sdtasdt0( sz10, xm
% 163.62/164.02 ) ==> xm }.
% 163.62/164.02 parent1[0; 4]: (117488) {G1,W7,D4,L1,V0,M1} { sz00 ==> sdtasdt0( sz00,
% 163.62/164.02 sdtasdt0( sz10, xm ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117490) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz00, xm ) ==> sz00 }.
% 163.62/164.02 parent0[0]: (117489) {G2,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, xm )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (721) {G4,W5,D3,L1,V0,M1} R(15,307);d(685) { sdtasdt0( sz00,
% 163.62/164.02 xm ) ==> sz00 }.
% 163.62/164.02 parent0: (117490) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz00, xm ) ==> sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117491) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtmndt0( sz00
% 163.62/164.02 , sz00 ) ) }.
% 163.62/164.02 parent0[0]: (94) {G2,W6,D3,L2,V1,M2} F(93);r(31) { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtmndt0( X, X ) ) }.
% 163.62/164.02 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sz00
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (1274) {G3,W4,D3,L1,V0,M1} R(94,1) { aNaturalNumber0( sdtmndt0
% 163.62/164.02 ( sz00, sz00 ) ) }.
% 163.62/164.02 parent0: (117491) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtmndt0( sz00,
% 163.62/164.02 sz00 ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117492) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ),
% 163.62/164.02 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 163.62/164.02 sdtasdt0( X, Z ), Y = Z }.
% 163.62/164.02 parent0[1]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 163.62/164.02 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 163.62/164.02 sdtasdt0( X, Z ), Y = Z }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := Z
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117497) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 163.62/164.02 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xn ), Y =
% 163.62/164.02 xn }.
% 163.62/164.02 parent0[3]: (117492) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 163.62/164.02 ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 163.62/164.02 sdtasdt0( X, Z ), Y = Z }.
% 163.62/164.02 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := xn
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117500) {G1,W17,D3,L5,V2,M5} { xn = X, sz00 = Y, !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 163.62/164.02 sdtasdt0( Y, xn ) }.
% 163.62/164.02 parent0[4]: (117497) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 163.62/164.02 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xn ), Y =
% 163.62/164.02 xn }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117501) {G1,W17,D3,L5,V2,M5} { X = sz00, xn = Y, !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 163.62/164.02 sdtasdt0( X, xn ) }.
% 163.62/164.02 parent0[1]: (117500) {G1,W17,D3,L5,V2,M5} { xn = X, sz00 = Y, !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 163.62/164.02 sdtasdt0( Y, xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117502) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xn ) = sdtasdt0( X
% 163.62/164.02 , Y ), X = sz00, xn = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 163.62/164.02 }.
% 163.62/164.02 parent0[4]: (117501) {G1,W17,D3,L5,V2,M5} { X = sz00, xn = Y, !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 163.62/164.02 sdtasdt0( X, xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (1522) {G1,W17,D3,L5,V2,M5} R(20,51) { ! aNaturalNumber0( X )
% 163.62/164.02 , X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xn ) = sdtasdt0( X, Y
% 163.62/164.02 ), xn = Y }.
% 163.62/164.02 parent0: (117502) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xn ) = sdtasdt0( X
% 163.62/164.02 , Y ), X = sz00, xn = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 3
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 4
% 163.62/164.02 3 ==> 0
% 163.62/164.02 4 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117523) {G1,W17,D3,L5,V2,M5} { X = xn, ! aNaturalNumber0( Y ), Y
% 163.62/164.02 = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xn ) = sdtasdt0( Y, X )
% 163.62/164.02 }.
% 163.62/164.02 parent0[4]: (1522) {G1,W17,D3,L5,V2,M5} R(20,51) { ! aNaturalNumber0( X ),
% 163.62/164.02 X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xn ) = sdtasdt0( X, Y )
% 163.62/164.02 , xn = Y }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117525) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) = sdtasdt0( X,
% 163.62/164.02 xn ), Y = xn, ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y )
% 163.62/164.02 }.
% 163.62/164.02 parent0[4]: (117523) {G1,W17,D3,L5,V2,M5} { X = xn, ! aNaturalNumber0( Y )
% 163.62/164.02 , Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xn ) = sdtasdt0( Y, X
% 163.62/164.02 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqfact: (117606) {G0,W17,D3,L5,V1,M5} { ! xn = sz00, ! sdtasdt0( X, X ) =
% 163.62/164.02 sdtasdt0( X, xn ), ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( X
% 163.62/164.02 ) }.
% 163.62/164.02 parent0[1, 3]: (117525) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) =
% 163.62/164.02 sdtasdt0( X, xn ), Y = xn, ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.02 aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117609) {G0,W15,D3,L4,V1,M4} { ! xn = sz00, ! sdtasdt0( X, X ) =
% 163.62/164.02 sdtasdt0( X, xn ), ! aNaturalNumber0( X ), X = sz00 }.
% 163.62/164.02 parent0[2, 4]: (117606) {G0,W17,D3,L5,V1,M5} { ! xn = sz00, ! sdtasdt0( X
% 163.62/164.02 , X ) = sdtasdt0( X, xn ), ! aNaturalNumber0( X ), X = sz00, !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117611) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xn ) = sdtasdt0( X
% 163.62/164.02 , X ), ! xn = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 163.62/164.02 parent0[1]: (117609) {G0,W15,D3,L4,V1,M4} { ! xn = sz00, ! sdtasdt0( X, X
% 163.62/164.02 ) = sdtasdt0( X, xn ), ! aNaturalNumber0( X ), X = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (1575) {G2,W15,D3,L4,V1,M4} E(1522);f { ! xn ==> sz00, !
% 163.62/164.02 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xn ) = sdtasdt0( X, X )
% 163.62/164.02 }.
% 163.62/164.02 parent0: (117611) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xn ) = sdtasdt0( X
% 163.62/164.02 , X ), ! xn = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 3
% 163.62/164.02 1 ==> 0
% 163.62/164.02 2 ==> 1
% 163.62/164.02 3 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117638) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xn, ! aNaturalNumber0(
% 163.62/164.02 X ), X = sz00, ! sdtasdt0( X, xn ) = sdtasdt0( X, X ) }.
% 163.62/164.02 parent0[0]: (1575) {G2,W15,D3,L4,V1,M4} E(1522);f { ! xn ==> sz00, !
% 163.62/164.02 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xn ) = sdtasdt0( X, X )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqrefl: (117645) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xn, ! aNaturalNumber0(
% 163.62/164.02 xn ), xn = sz00 }.
% 163.62/164.02 parent0[3]: (117638) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xn, !
% 163.62/164.02 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xn ) = sdtasdt0( X, X )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := xn
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117646) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xn, xn = sz00 }.
% 163.62/164.02 parent0[1]: (117645) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xn, !
% 163.62/164.02 aNaturalNumber0( xn ), xn = sz00 }.
% 163.62/164.02 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117647) {G1,W6,D2,L2,V0,M2} { ! xn ==> sz00, xn = sz00 }.
% 163.62/164.02 parent0[0]: (117646) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xn, xn = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (1578) {G3,W6,D2,L2,V0,M2} Q(1575);r(51) { ! xn ==> sz00, xn
% 163.62/164.02 ==> sz00 }.
% 163.62/164.02 parent0: (117647) {G1,W6,D2,L2,V0,M2} { ! xn ==> sz00, xn = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117650) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xn, xn ==> sz00 }.
% 163.62/164.02 parent0[0]: (1578) {G3,W6,D2,L2,V0,M2} Q(1575);r(51) { ! xn ==> sz00, xn
% 163.62/164.02 ==> sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (117655) {G1,W8,D3,L2,V0,M2} { ! sdtlseqdt0( xn, sdtasdt0( sz00,
% 163.62/164.02 xm ) ), ! sz00 ==> xn }.
% 163.62/164.02 parent0[1]: (117650) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xn, xn ==> sz00 }.
% 163.62/164.02 parent1[0; 4]: (54) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn
% 163.62/164.02 , xm ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (117656) {G2,W11,D3,L3,V0,M3} { ! sdtlseqdt0( sz00, sdtasdt0(
% 163.62/164.02 sz00, xm ) ), ! sz00 ==> xn, ! sz00 ==> xn }.
% 163.62/164.02 parent0[1]: (117650) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xn, xn ==> sz00 }.
% 163.62/164.02 parent1[0; 2]: (117655) {G1,W8,D3,L2,V0,M2} { ! sdtlseqdt0( xn, sdtasdt0(
% 163.62/164.02 sz00, xm ) ), ! sz00 ==> xn }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117668) {G2,W8,D3,L2,V0,M2} { ! sdtlseqdt0( sz00, sdtasdt0( sz00
% 163.62/164.02 , xm ) ), ! sz00 ==> xn }.
% 163.62/164.02 parent0[1, 2]: (117656) {G2,W11,D3,L3,V0,M3} { ! sdtlseqdt0( sz00,
% 163.62/164.02 sdtasdt0( sz00, xm ) ), ! sz00 ==> xn, ! sz00 ==> xn }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (117955) {G3,W6,D2,L2,V0,M2} { ! sdtlseqdt0( sz00, sz00 ), ! sz00
% 163.62/164.02 ==> xn }.
% 163.62/164.02 parent0[0]: (721) {G4,W5,D3,L1,V0,M1} R(15,307);d(685) { sdtasdt0( sz00, xm
% 163.62/164.02 ) ==> sz00 }.
% 163.62/164.02 parent1[0; 3]: (117668) {G2,W8,D3,L2,V0,M2} { ! sdtlseqdt0( sz00, sdtasdt0
% 163.62/164.02 ( sz00, xm ) ), ! sz00 ==> xn }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117956) {G2,W3,D2,L1,V0,M1} { ! sz00 ==> xn }.
% 163.62/164.02 parent0[0]: (117955) {G3,W6,D2,L2,V0,M2} { ! sdtlseqdt0( sz00, sz00 ), !
% 163.62/164.02 sz00 ==> xn }.
% 163.62/164.02 parent1[0]: (142) {G1,W3,D2,L1,V0,M1} R(31,1) { sdtlseqdt0( sz00, sz00 )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117957) {G2,W3,D2,L1,V0,M1} { ! xn ==> sz00 }.
% 163.62/164.02 parent0[0]: (117956) {G2,W3,D2,L1,V0,M1} { ! sz00 ==> xn }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (1593) {G5,W3,D2,L1,V0,M1} P(1578,54);d(721);r(142) { ! xn ==>
% 163.62/164.02 sz00 }.
% 163.62/164.02 parent0: (117957) {G2,W3,D2,L1,V0,M1} { ! xn ==> sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117958) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 163.62/164.02 sdtlseqdt0( X, Z ) }.
% 163.62/164.02 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 163.62/164.02 sdtlseqdt0( X, Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117959) {G1,W17,D3,L6,V2,M6} { ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), sdtlseqdt0(
% 163.62/164.02 Y, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[0]: (117958) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 163.62/164.02 sdtlseqdt0( X, Z ) }.
% 163.62/164.02 parent1[2]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 Z := sdtpldt0( X, Y )
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117961) {G1,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 163.62/164.02 X, sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[0, 5]: (117959) {G1,W17,D3,L6,V2,M6} { ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), sdtlseqdt0(
% 163.62/164.02 Y, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117963) {G1,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 163.62/164.02 X, sdtpldt0( Y, X ) ) }.
% 163.62/164.02 parent0[2, 4]: (117961) {G1,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 163.62/164.02 X, sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117977) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (117963) {G1,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 163.62/164.02 X, sdtpldt0( Y, X ) ) }.
% 163.62/164.02 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117979) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ), !
% 163.62/164.02 aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[0, 4]: (117977) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117981) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ) }.
% 163.62/164.02 parent0[1, 3]: (117979) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ), !
% 163.62/164.02 aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (2644) {G1,W9,D3,L3,V2,M3} R(27,6);f;f;r(4) { !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y
% 163.62/164.02 , X ) ) }.
% 163.62/164.02 parent0: (117981) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117983) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 163.62/164.02 sdtlseqdt0( X, Z ) }.
% 163.62/164.02 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 163.62/164.02 sdtlseqdt0( X, Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (117985) {G1,W12,D3,L4,V2,M4} { ! X = sdtpldt0( sz00, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 163.62/164.02 parent0[1]: (117983) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 163.62/164.02 sdtlseqdt0( X, Z ) }.
% 163.62/164.02 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sz00
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (117993) {G1,W12,D2,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y ),
% 163.62/164.02 ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 163.62/164.02 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 163.62/164.02 sz00, X ) ==> X }.
% 163.62/164.02 parent1[0; 3]: (117985) {G1,W12,D3,L4,V2,M4} { ! X = sdtpldt0( sz00, Y ),
% 163.62/164.02 ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117994) {G1,W12,D2,L5,V2,M5} { ! Y = X, ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 163.62/164.02 parent0[0]: (117993) {G1,W12,D2,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y
% 163.62/164.02 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (117996) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), sdtlseqdt0( sz00, Y ) }.
% 163.62/164.02 parent0[1, 3]: (117994) {G1,W12,D2,L5,V2,M5} { ! Y = X, ! aNaturalNumber0
% 163.62/164.02 ( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00,
% 163.62/164.02 X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (2652) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0(
% 163.62/164.02 X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 163.62/164.02 parent0: (117996) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( X ),
% 163.62/164.02 ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 3
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 0
% 163.62/164.02 3 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (117999) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( X ), sdtlseqdt0( sz00, Y ) }.
% 163.62/164.02 parent0[3]: (2652) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0( X
% 163.62/164.02 ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118000) {G1,W8,D2,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X ),
% 163.62/164.02 sdtlseqdt0( sz00, X ) }.
% 163.62/164.02 parent0[1, 2]: (117999) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0
% 163.62/164.02 ( Y ), ! aNaturalNumber0( X ), sdtlseqdt0( sz00, Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqrefl: (118001) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 163.62/164.02 ( sz00, X ) }.
% 163.62/164.02 parent0[0]: (118000) {G1,W8,D2,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X )
% 163.62/164.02 , sdtlseqdt0( sz00, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (2692) {G2,W5,D2,L2,V1,M2} F(2652);q { ! aNaturalNumber0( X )
% 163.62/164.02 , sdtlseqdt0( sz00, X ) }.
% 163.62/164.02 parent0: (118001) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 163.62/164.02 ( sz00, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118002) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xn ) }.
% 163.62/164.02 parent0[0]: (2692) {G2,W5,D2,L2,V1,M2} F(2652);q { ! aNaturalNumber0( X ),
% 163.62/164.02 sdtlseqdt0( sz00, X ) }.
% 163.62/164.02 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := xn
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (2776) {G3,W3,D2,L1,V0,M1} R(2692,51) { sdtlseqdt0( sz00, xn )
% 163.62/164.02 }.
% 163.62/164.02 parent0: (118002) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118003) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 163.62/164.02 aNaturalNumber0( Z ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Z
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118004) {G1,W11,D3,L4,V1,M4} { ! sdtmndt0( xn, sz00 ) = X, !
% 163.62/164.02 aNaturalNumber0( sz00 ), ! aNaturalNumber0( xn ), aNaturalNumber0( X )
% 163.62/164.02 }.
% 163.62/164.02 parent0[3]: (118003) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent1[0]: (2776) {G3,W3,D2,L1,V0,M1} R(2692,51) { sdtlseqdt0( sz00, xn )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := xn
% 163.62/164.02 Z := sz00
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118005) {G1,W9,D3,L3,V1,M3} { ! sdtmndt0( xn, sz00 ) = X, !
% 163.62/164.02 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (118004) {G1,W11,D3,L4,V1,M4} { ! sdtmndt0( xn, sz00 ) = X, !
% 163.62/164.02 aNaturalNumber0( sz00 ), ! aNaturalNumber0( xn ), aNaturalNumber0( X )
% 163.62/164.02 }.
% 163.62/164.02 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118006) {G1,W9,D3,L3,V1,M3} { ! X = sdtmndt0( xn, sz00 ), !
% 163.62/164.02 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[0]: (118005) {G1,W9,D3,L3,V1,M3} { ! sdtmndt0( xn, sz00 ) = X, !
% 163.62/164.02 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (2811) {G4,W9,D3,L3,V1,M3} R(28,2776);r(1) { ! aNaturalNumber0
% 163.62/164.02 ( xn ), ! X = sdtmndt0( xn, sz00 ), aNaturalNumber0( X ) }.
% 163.62/164.02 parent0: (118006) {G1,W9,D3,L3,V1,M3} { ! X = sdtmndt0( xn, sz00 ), !
% 163.62/164.02 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 1
% 163.62/164.02 1 ==> 0
% 163.62/164.02 2 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118007) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 163.62/164.02 aNaturalNumber0( Z ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Z
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118009) {G1,W20,D4,L6,V4,M6} { ! sdtmndt0( sdtpldt0( X, Y ),
% 163.62/164.02 Z ) = T, ! aNaturalNumber0( Z ), ! sdtlseqdt0( Z, sdtpldt0( X, Y ) ),
% 163.62/164.02 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[2]: (118007) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := T
% 163.62/164.02 Y := sdtpldt0( X, Y )
% 163.62/164.02 Z := Z
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118010) {G1,W20,D4,L6,V4,M6} { ! T = sdtmndt0( sdtpldt0( X, Y ),
% 163.62/164.02 Z ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( Z, sdtpldt0( X, Y ) ),
% 163.62/164.02 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[0]: (118009) {G1,W20,D4,L6,V4,M6} { ! sdtmndt0( sdtpldt0( X, Y ),
% 163.62/164.02 Z ) = T, ! aNaturalNumber0( Z ), ! sdtlseqdt0( Z, sdtpldt0( X, Y ) ),
% 163.62/164.02 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := Z
% 163.62/164.02 T := T
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (2865) {G1,W20,D4,L6,V4,M6} R(28,4) { ! aNaturalNumber0( X ),
% 163.62/164.02 ! sdtlseqdt0( X, sdtpldt0( Y, Z ) ), ! T = sdtmndt0( sdtpldt0( Y, Z ), X
% 163.62/164.02 ), aNaturalNumber0( T ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z )
% 163.62/164.02 }.
% 163.62/164.02 parent0: (118010) {G1,W20,D4,L6,V4,M6} { ! T = sdtmndt0( sdtpldt0( X, Y )
% 163.62/164.02 , Z ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( Z, sdtpldt0( X, Y ) ),
% 163.62/164.02 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := X
% 163.62/164.02 T := T
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 2
% 163.62/164.02 1 ==> 0
% 163.62/164.02 2 ==> 1
% 163.62/164.02 3 ==> 3
% 163.62/164.02 4 ==> 4
% 163.62/164.02 5 ==> 5
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118034) {G1,W18,D4,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, sdtpldt0( Y, X ) ), ! Z = sdtmndt0( sdtpldt0( Y, X ), X )
% 163.62/164.02 , aNaturalNumber0( Z ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[0, 5]: (2865) {G1,W20,D4,L6,V4,M6} R(28,4) { ! aNaturalNumber0( X )
% 163.62/164.02 , ! sdtlseqdt0( X, sdtpldt0( Y, Z ) ), ! T = sdtmndt0( sdtpldt0( Y, Z ),
% 163.62/164.02 X ), aNaturalNumber0( T ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := X
% 163.62/164.02 T := Z
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118057) {G2,W17,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! Z =
% 163.62/164.02 sdtmndt0( sdtpldt0( Y, X ), X ), aNaturalNumber0( Z ), ! aNaturalNumber0
% 163.62/164.02 ( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[1]: (118034) {G1,W18,D4,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, sdtpldt0( Y, X ) ), ! Z = sdtmndt0( sdtpldt0( Y, X ), X )
% 163.62/164.02 , aNaturalNumber0( Z ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent1[2]: (2644) {G1,W9,D3,L3,V2,M3} R(27,6);f;f;r(4) { ! aNaturalNumber0
% 163.62/164.02 ( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := Z
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118065) {G2,W15,D4,L5,V3,M5} { ! aNaturalNumber0( X ), ! Y =
% 163.62/164.02 sdtmndt0( sdtpldt0( Z, X ), X ), aNaturalNumber0( Y ), ! aNaturalNumber0
% 163.62/164.02 ( Z ), ! aNaturalNumber0( Z ) }.
% 163.62/164.02 parent0[0, 4]: (118057) {G2,W17,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! Z
% 163.62/164.02 = sdtmndt0( sdtpldt0( Y, X ), X ), aNaturalNumber0( Z ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118067) {G2,W13,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! Y =
% 163.62/164.02 sdtmndt0( sdtpldt0( Z, X ), X ), aNaturalNumber0( Y ), ! aNaturalNumber0
% 163.62/164.02 ( Z ) }.
% 163.62/164.02 parent0[3, 4]: (118065) {G2,W15,D4,L5,V3,M5} { ! aNaturalNumber0( X ), ! Y
% 163.62/164.02 = sdtmndt0( sdtpldt0( Z, X ), X ), aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Z ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := Z
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (2904) {G2,W13,D4,L4,V3,M4} F(2865);r(2644) { !
% 163.62/164.02 aNaturalNumber0( X ), ! Z = sdtmndt0( sdtpldt0( Y, X ), X ),
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0: (118067) {G2,W13,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! Y =
% 163.62/164.02 sdtmndt0( sdtpldt0( Z, X ), X ), aNaturalNumber0( Y ), ! aNaturalNumber0
% 163.62/164.02 ( Z ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 3 ==> 3
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118072) {G2,W11,D4,L3,V2,M3} { ! aNaturalNumber0( X ), ! Y =
% 163.62/164.02 sdtmndt0( sdtpldt0( X, X ), X ), aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[0, 3]: (2904) {G2,W13,D4,L4,V3,M4} F(2865);r(2644) { !
% 163.62/164.02 aNaturalNumber0( X ), ! Z = sdtmndt0( sdtpldt0( Y, X ), X ),
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := X
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (118073) {G3,W9,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( Y ), aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (102) {G2,W9,D4,L2,V1,M2} F(101);r(90) { ! aNaturalNumber0( X )
% 163.62/164.02 , sdtmndt0( sdtpldt0( X, X ), X ) ==> X }.
% 163.62/164.02 parent1[1; 3]: (118072) {G2,W11,D4,L3,V2,M3} { ! aNaturalNumber0( X ), ! Y
% 163.62/164.02 = sdtmndt0( sdtpldt0( X, X ), X ), aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118076) {G3,W7,D2,L3,V2,M3} { ! X = Y, ! aNaturalNumber0( Y ),
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1, 2]: (118073) {G3,W9,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0(
% 163.62/164.02 Y ), ! aNaturalNumber0( Y ), aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (2905) {G3,W7,D2,L3,V2,M3} F(2904);d(102) { ! aNaturalNumber0
% 163.62/164.02 ( X ), aNaturalNumber0( Y ), ! Y = X }.
% 163.62/164.02 parent0: (118076) {G3,W7,D2,L3,V2,M3} { ! X = Y, ! aNaturalNumber0( Y ),
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 2
% 163.62/164.02 1 ==> 0
% 163.62/164.02 2 ==> 1
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118077) {G4,W9,D3,L3,V1,M3} { ! sdtmndt0( xn, sz00 ) = X, !
% 163.62/164.02 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (2811) {G4,W9,D3,L3,V1,M3} R(28,2776);r(1) { ! aNaturalNumber0
% 163.62/164.02 ( xn ), ! X = sdtmndt0( xn, sz00 ), aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqrefl: (118078) {G0,W6,D3,L2,V0,M2} { ! aNaturalNumber0( xn ),
% 163.62/164.02 aNaturalNumber0( sdtmndt0( xn, sz00 ) ) }.
% 163.62/164.02 parent0[0]: (118077) {G4,W9,D3,L3,V1,M3} { ! sdtmndt0( xn, sz00 ) = X, !
% 163.62/164.02 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sdtmndt0( xn, sz00 )
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118079) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtmndt0( xn,
% 163.62/164.02 sz00 ) ) }.
% 163.62/164.02 parent0[0]: (118078) {G0,W6,D3,L2,V0,M2} { ! aNaturalNumber0( xn ),
% 163.62/164.02 aNaturalNumber0( sdtmndt0( xn, sz00 ) ) }.
% 163.62/164.02 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (2935) {G5,W4,D3,L1,V0,M1} Q(2811);r(51) { aNaturalNumber0(
% 163.62/164.02 sdtmndt0( xn, sz00 ) ) }.
% 163.62/164.02 parent0: (118079) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtmndt0( xn,
% 163.62/164.02 sz00 ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118080) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 163.62/164.02 sdtpldt0( Z, X ) = Y }.
% 163.62/164.02 parent0[3]: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 163.62/164.02 sdtpldt0( X, Z ) = Y }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Z
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118083) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 163.62/164.02 parent0[2]: (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (118086) {G1,W22,D3,L8,V3,M8} { ! sz00 ==> Z, ! sdtmndt0( Z, X )
% 163.62/164.02 = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z )
% 163.62/164.02 , ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 163.62/164.02 parent0[4]: (118080) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 163.62/164.02 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 163.62/164.02 sdtpldt0( Z, X ) = Y }.
% 163.62/164.02 parent1[0; 3]: (118083) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y )
% 163.62/164.02 , ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118088) {G1,W20,D3,L7,V3,M7} { ! sz00 ==> X, ! sdtmndt0( X, Y ) =
% 163.62/164.02 Z, ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X )
% 163.62/164.02 , ! aNaturalNumber0( Z ), Z = sz00 }.
% 163.62/164.02 parent0[2, 5]: (118086) {G1,W22,D3,L8,V3,M8} { ! sz00 ==> Z, ! sdtmndt0( Z
% 163.62/164.02 , X ) = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0(
% 163.62/164.02 X, Z ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118130) {G1,W20,D3,L7,V3,M7} { sz00 = X, ! sz00 ==> Y, ! sdtmndt0
% 163.62/164.02 ( Y, Z ) = X, ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), !
% 163.62/164.02 sdtlseqdt0( Z, Y ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[6]: (118088) {G1,W20,D3,L7,V3,M7} { ! sz00 ==> X, ! sdtmndt0( X, Y
% 163.62/164.02 ) = Z, ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y,
% 163.62/164.02 X ), ! aNaturalNumber0( Z ), Z = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118132) {G1,W20,D3,L7,V3,M7} { ! Z = sdtmndt0( X, Y ), sz00 = Z,
% 163.62/164.02 ! sz00 ==> X, ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( Y, X ), ! aNaturalNumber0( Z ) }.
% 163.62/164.02 parent0[2]: (118130) {G1,W20,D3,L7,V3,M7} { sz00 = X, ! sz00 ==> Y, !
% 163.62/164.02 sdtmndt0( Y, Z ) = X, ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), !
% 163.62/164.02 sdtlseqdt0( Z, Y ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Z
% 163.62/164.02 Y := X
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118133) {G1,W20,D3,L7,V3,M7} { ! X ==> sz00, ! Y = sdtmndt0( X, Z
% 163.62/164.02 ), sz00 = Y, ! aNaturalNumber0( Z ), ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( Z, X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 parent0[2]: (118132) {G1,W20,D3,L7,V3,M7} { ! Z = sdtmndt0( X, Y ), sz00 =
% 163.62/164.02 Z, ! sz00 ==> X, ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( Y, X ), ! aNaturalNumber0( Z ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118134) {G1,W20,D3,L7,V3,M7} { X = sz00, ! Y ==> sz00, ! X =
% 163.62/164.02 sdtmndt0( Y, Z ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), !
% 163.62/164.02 sdtlseqdt0( Z, Y ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[2]: (118133) {G1,W20,D3,L7,V3,M7} { ! X ==> sz00, ! Y = sdtmndt0(
% 163.62/164.02 X, Z ), sz00 = Y, ! aNaturalNumber0( Z ), ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( Z, X ), ! aNaturalNumber0( Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 Z := Z
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (3095) {G1,W20,D3,L7,V3,M7} P(29,23);f { ! aNaturalNumber0( X
% 163.62/164.02 ), ! aNaturalNumber0( Y ), ! Z = sz00, Y = sz00, ! aNaturalNumber0( Z )
% 163.62/164.02 , ! sdtlseqdt0( X, Z ), ! Y = sdtmndt0( Z, X ) }.
% 163.62/164.02 parent0: (118134) {G1,W20,D3,L7,V3,M7} { X = sz00, ! Y ==> sz00, ! X =
% 163.62/164.02 sdtmndt0( Y, Z ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), !
% 163.62/164.02 sdtlseqdt0( Z, Y ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 3
% 163.62/164.02 1 ==> 2
% 163.62/164.02 2 ==> 6
% 163.62/164.02 3 ==> 0
% 163.62/164.02 4 ==> 4
% 163.62/164.02 5 ==> 5
% 163.62/164.02 6 ==> 1
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118178) {G1,W18,D3,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! X = sz00, Y = sz00, ! sdtlseqdt0( X, X ), ! Y =
% 163.62/164.02 sdtmndt0( X, X ) }.
% 163.62/164.02 parent0[0, 4]: (3095) {G1,W20,D3,L7,V3,M7} P(29,23);f { ! aNaturalNumber0(
% 163.62/164.02 X ), ! aNaturalNumber0( Y ), ! Z = sz00, Y = sz00, ! aNaturalNumber0( Z )
% 163.62/164.02 , ! sdtlseqdt0( X, Z ), ! Y = sdtmndt0( Z, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118181) {G1,W17,D3,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! X = sz00, Y = sz00, ! Y = sdtmndt0( X, X ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[4]: (118178) {G1,W18,D3,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! X = sz00, Y = sz00, ! sdtlseqdt0( X, X ), ! Y =
% 163.62/164.02 sdtmndt0( X, X ) }.
% 163.62/164.02 parent1[1]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 163.62/164.02 ( X, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118211) {G1,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! X = sz00, Y = sz00, ! Y = sdtmndt0( X, X ) }.
% 163.62/164.02 parent0[0, 5]: (118181) {G1,W17,D3,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! X = sz00, Y = sz00, ! Y = sdtmndt0( X, X ), !
% 163.62/164.02 aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (3156) {G2,W15,D3,L5,V2,M5} F(3095);r(31) { ! aNaturalNumber0
% 163.62/164.02 ( X ), ! aNaturalNumber0( Y ), ! X = sz00, Y = sz00, ! Y = sdtmndt0( X, X
% 163.62/164.02 ) }.
% 163.62/164.02 parent0: (118211) {G1,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! X = sz00, Y = sz00, ! Y = sdtmndt0( X, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 2
% 163.62/164.02 3 ==> 3
% 163.62/164.02 4 ==> 4
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118213) {G2,W15,D3,L5,V2,M5} { ! sz00 = X, ! aNaturalNumber0( X )
% 163.62/164.02 , ! aNaturalNumber0( Y ), Y = sz00, ! Y = sdtmndt0( X, X ) }.
% 163.62/164.02 parent0[2]: (3156) {G2,W15,D3,L5,V2,M5} F(3095);r(31) { ! aNaturalNumber0(
% 163.62/164.02 X ), ! aNaturalNumber0( Y ), ! X = sz00, Y = sz00, ! Y = sdtmndt0( X, X )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqrefl: (118221) {G0,W14,D3,L4,V1,M4} { ! sz00 = X, ! aNaturalNumber0( X )
% 163.62/164.02 , ! aNaturalNumber0( sdtmndt0( X, X ) ), sdtmndt0( X, X ) = sz00 }.
% 163.62/164.02 parent0[4]: (118213) {G2,W15,D3,L5,V2,M5} { ! sz00 = X, ! aNaturalNumber0
% 163.62/164.02 ( X ), ! aNaturalNumber0( Y ), Y = sz00, ! Y = sdtmndt0( X, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := sdtmndt0( X, X )
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118223) {G1,W12,D3,L4,V1,M4} { ! sz00 = X, ! aNaturalNumber0
% 163.62/164.02 ( X ), sdtmndt0( X, X ) = sz00, ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[2]: (118221) {G0,W14,D3,L4,V1,M4} { ! sz00 = X, ! aNaturalNumber0
% 163.62/164.02 ( X ), ! aNaturalNumber0( sdtmndt0( X, X ) ), sdtmndt0( X, X ) = sz00 }.
% 163.62/164.02 parent1[1]: (94) {G2,W6,D3,L2,V1,M2} F(93);r(31) { ! aNaturalNumber0( X ),
% 163.62/164.02 aNaturalNumber0( sdtmndt0( X, X ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118224) {G1,W12,D3,L4,V1,M4} { ! X = sz00, ! aNaturalNumber0( X )
% 163.62/164.02 , sdtmndt0( X, X ) = sz00, ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[0]: (118223) {G1,W12,D3,L4,V1,M4} { ! sz00 = X, ! aNaturalNumber0
% 163.62/164.02 ( X ), sdtmndt0( X, X ) = sz00, ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118227) {G1,W10,D3,L3,V1,M3} { ! X = sz00, ! aNaturalNumber0( X )
% 163.62/164.02 , sdtmndt0( X, X ) = sz00 }.
% 163.62/164.02 parent0[1, 3]: (118224) {G1,W12,D3,L4,V1,M4} { ! X = sz00, !
% 163.62/164.02 aNaturalNumber0( X ), sdtmndt0( X, X ) = sz00, ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (3160) {G3,W10,D3,L3,V1,M3} Q(3156);r(94) { ! aNaturalNumber0
% 163.62/164.02 ( X ), ! X = sz00, sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.02 parent0: (118227) {G1,W10,D3,L3,V1,M3} { ! X = sz00, ! aNaturalNumber0( X
% 163.62/164.02 ), sdtmndt0( X, X ) = sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 1
% 163.62/164.02 1 ==> 0
% 163.62/164.02 2 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118231) {G3,W10,D3,L3,V1,M3} { ! sz00 = X, ! aNaturalNumber0( X )
% 163.62/164.02 , sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.02 parent0[1]: (3160) {G3,W10,D3,L3,V1,M3} Q(3156);r(94) { ! aNaturalNumber0(
% 163.62/164.02 X ), ! X = sz00, sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqrefl: (118234) {G0,W7,D3,L2,V0,M2} { ! aNaturalNumber0( sz00 ), sdtmndt0
% 163.62/164.02 ( sz00, sz00 ) ==> sz00 }.
% 163.62/164.02 parent0[0]: (118231) {G3,W10,D3,L3,V1,M3} { ! sz00 = X, ! aNaturalNumber0
% 163.62/164.02 ( X ), sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sz00
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118235) {G1,W5,D3,L1,V0,M1} { sdtmndt0( sz00, sz00 ) ==> sz00
% 163.62/164.02 }.
% 163.62/164.02 parent0[0]: (118234) {G0,W7,D3,L2,V0,M2} { ! aNaturalNumber0( sz00 ),
% 163.62/164.02 sdtmndt0( sz00, sz00 ) ==> sz00 }.
% 163.62/164.02 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (3161) {G4,W5,D3,L1,V0,M1} Q(3160);r(1) { sdtmndt0( sz00, sz00
% 163.62/164.02 ) ==> sz00 }.
% 163.62/164.02 parent0: (118235) {G1,W5,D3,L1,V0,M1} { sdtmndt0( sz00, sz00 ) ==> sz00
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 0
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118237) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 163.62/164.02 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 163.62/164.02 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 163.62/164.02 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118241) {G1,W18,D3,L6,V2,M6} { ! X = sdtpldt0( sz00, Y ), !
% 163.62/164.02 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ),
% 163.62/164.02 Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[3]: (118237) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 163.62/164.02 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 163.62/164.02 parent1[1]: (2692) {G2,W5,D2,L2,V1,M2} F(2652);q { ! aNaturalNumber0( X ),
% 163.62/164.02 sdtlseqdt0( sz00, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := sz00
% 163.62/164.02 Y := Y
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (118250) {G1,W18,D3,L7,V2,M7} { ! X = Y, ! aNaturalNumber0( Y ),
% 163.62/164.02 ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 163.62/164.02 , Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 163.62/164.02 sz00, X ) ==> X }.
% 163.62/164.02 parent1[0; 3]: (118241) {G1,W18,D3,L6,V2,M6} { ! X = sdtpldt0( sz00, Y ),
% 163.62/164.02 ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 163.62/164.02 , Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118253) {G1,W16,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 )
% 163.62/164.02 , ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1, 4]: (118250) {G1,W18,D3,L7,V2,M7} { ! X = Y, ! aNaturalNumber0
% 163.62/164.02 ( Y ), ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118257) {G1,W14,D3,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 )
% 163.62/164.02 }.
% 163.62/164.02 parent0[3, 5]: (118253) {G1,W16,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0
% 163.62/164.02 ( Y ), ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X
% 163.62/164.02 , sz00 ), ! aNaturalNumber0( X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118310) {G1,W12,D3,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( Y
% 163.62/164.02 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 163.62/164.02 parent0[2]: (118257) {G1,W14,D3,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y
% 163.62/164.02 ), ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X,
% 163.62/164.02 sz00 ) }.
% 163.62/164.02 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118311) {G1,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 163.62/164.02 parent0[0]: (118310) {G1,W12,D3,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( Y
% 163.62/164.02 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (3203) {G3,W12,D3,L4,V2,M4} R(30,2692);f;d(9);r(1) { !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sdtmndt0( X, sz00 ), !
% 163.62/164.02 Y = X }.
% 163.62/164.02 parent0: (118311) {G1,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ),
% 163.62/164.02 ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 3
% 163.62/164.02 1 ==> 1
% 163.62/164.02 2 ==> 0
% 163.62/164.02 3 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118316) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 163.62/164.02 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 163.62/164.02 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 163.62/164.02 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Z
% 163.62/164.02 Z := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118324) {G1,W21,D4,L5,V2,M5} { ! X = sdtpldt0( Y, sdtmndt0(
% 163.62/164.02 sz00, sz00 ) ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( Y, X ), sdtmndt0( sz00, sz00 ) = sdtmndt0( X, Y ) }.
% 163.62/164.02 parent0[4]: (118316) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 163.62/164.02 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 163.62/164.02 parent1[0]: (1274) {G3,W4,D3,L1,V0,M1} R(94,1) { aNaturalNumber0( sdtmndt0
% 163.62/164.02 ( sz00, sz00 ) ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := sdtmndt0( sz00, sz00 )
% 163.62/164.02 Z := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (118480) {G2,W19,D4,L5,V2,M5} { sz00 = sdtmndt0( X, Y ), ! X =
% 163.62/164.02 sdtpldt0( Y, sdtmndt0( sz00, sz00 ) ), ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ) }.
% 163.62/164.02 parent0[0]: (3161) {G4,W5,D3,L1,V0,M1} Q(3160);r(1) { sdtmndt0( sz00, sz00
% 163.62/164.02 ) ==> sz00 }.
% 163.62/164.02 parent1[4; 1]: (118324) {G1,W21,D4,L5,V2,M5} { ! X = sdtpldt0( Y, sdtmndt0
% 163.62/164.02 ( sz00, sz00 ) ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( Y, X ), sdtmndt0( sz00, sz00 ) = sdtmndt0( X, Y ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (118490) {G3,W17,D3,L5,V2,M5} { ! X = sdtpldt0( Y, sz00 ), sz00 =
% 163.62/164.02 sdtmndt0( X, Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( Y, X ) }.
% 163.62/164.02 parent0[0]: (3161) {G4,W5,D3,L1,V0,M1} Q(3160);r(1) { sdtmndt0( sz00, sz00
% 163.62/164.02 ) ==> sz00 }.
% 163.62/164.02 parent1[1; 5]: (118480) {G2,W19,D4,L5,V2,M5} { sz00 = sdtmndt0( X, Y ), !
% 163.62/164.02 X = sdtpldt0( Y, sdtmndt0( sz00, sz00 ) ), ! aNaturalNumber0( Y ), !
% 163.62/164.02 aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 paramod: (118496) {G1,W17,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y ),
% 163.62/164.02 sz00 = sdtmndt0( X, Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ),
% 163.62/164.02 ! sdtlseqdt0( Y, X ) }.
% 163.62/164.02 parent0[1]: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X
% 163.62/164.02 , sz00 ) ==> X }.
% 163.62/164.02 parent1[0; 3]: (118490) {G3,W17,D3,L5,V2,M5} { ! X = sdtpldt0( Y, sz00 ),
% 163.62/164.02 sz00 = sdtmndt0( X, Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ),
% 163.62/164.02 ! sdtlseqdt0( Y, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118498) {G1,W17,D3,L6,V2,M6} { sdtmndt0( X, Y ) = sz00, ! X = Y,
% 163.62/164.02 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( Y, X ) }.
% 163.62/164.02 parent0[2]: (118496) {G1,W17,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y
% 163.62/164.02 ), sz00 = sdtmndt0( X, Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X
% 163.62/164.02 ), ! sdtlseqdt0( Y, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118499) {G1,W17,D3,L6,V2,M6} { ! Y = X, sdtmndt0( X, Y ) = sz00,
% 163.62/164.02 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( Y, X ) }.
% 163.62/164.02 parent0[1]: (118498) {G1,W17,D3,L6,V2,M6} { sdtmndt0( X, Y ) = sz00, ! X =
% 163.62/164.02 Y, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X
% 163.62/164.02 ), ! sdtlseqdt0( Y, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118502) {G1,W15,D3,L5,V2,M5} { ! X = Y, sdtmndt0( Y, X ) = sz00,
% 163.62/164.02 ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ) }.
% 163.62/164.02 parent0[2, 3]: (118499) {G1,W17,D3,L6,V2,M6} { ! Y = X, sdtmndt0( X, Y ) =
% 163.62/164.02 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0
% 163.62/164.02 ( X ), ! sdtlseqdt0( Y, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := Y
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 subsumption: (3209) {G5,W15,D3,L5,V2,M5} R(30,1274);d(3161);d(3161);d(8) {
% 163.62/164.02 ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 163.62/164.02 sdtmndt0( Y, X ) ==> sz00, ! X = Y }.
% 163.62/164.02 parent0: (118502) {G1,W15,D3,L5,V2,M5} { ! X = Y, sdtmndt0( Y, X ) = sz00
% 163.62/164.02 , ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y )
% 163.62/164.02 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02 permutation0:
% 163.62/164.02 0 ==> 4
% 163.62/164.02 1 ==> 3
% 163.62/164.02 2 ==> 0
% 163.62/164.02 3 ==> 1
% 163.62/164.02 4 ==> 2
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqswap: (118507) {G5,W15,D3,L5,V2,M5} { ! Y = X, ! aNaturalNumber0( X ), !
% 163.62/164.02 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==> sz00
% 163.62/164.02 }.
% 163.62/164.02 parent0[4]: (3209) {G5,W15,D3,L5,V2,M5} R(30,1274);d(3161);d(3161);d(8) { !
% 163.62/164.02 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 163.62/164.02 sdtmndt0( Y, X ) ==> sz00, ! X = Y }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := Y
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118510) {G5,W13,D3,L4,V1,M4} { ! X = X, ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.02 parent0[1, 2]: (118507) {G5,W15,D3,L5,V2,M5} { ! Y = X, ! aNaturalNumber0
% 163.62/164.02 ( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 163.62/164.02 sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 Y := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 eqrefl: (118511) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.02 parent0[0]: (118510) {G5,W13,D3,L4,V1,M4} { ! X = X, ! aNaturalNumber0( X
% 163.62/164.02 ), ! sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 resolution: (118512) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( X ),
% 163.62/164.02 sdtmndt0( X, X ) ==> sz00, ! aNaturalNumber0( X ) }.
% 163.62/164.02 parent0[1]: (118511) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 163.62/164.02 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 163.62/164.02 parent1[1]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 163.62/164.02 ( X, X ) }.
% 163.62/164.02 substitution0:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02 substitution1:
% 163.62/164.02 X := X
% 163.62/164.02 end
% 163.62/164.02
% 163.62/164.02 factor: (118515) {G1,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0( X
% 163.62/164.02 , X ) ==> sz00 }.
% 163.62/164.02 parent0[0, 2]: (118512) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------