TSTP Solution File: NUM465+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM465+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 06:22:32 EDT 2022
% Result : Theorem 18.66s 19.02s
% Output : Refutation 18.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM465+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Tue Jul 5 17:32:32 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.32/1.68 *** allocated 10000 integers for termspace/termends
% 1.32/1.68 *** allocated 10000 integers for clauses
% 1.32/1.68 *** allocated 10000 integers for justifications
% 1.32/1.68 Bliksem 1.12
% 1.32/1.68
% 1.32/1.68
% 1.32/1.68 Automatic Strategy Selection
% 1.32/1.68
% 1.32/1.68
% 1.32/1.68 Clauses:
% 1.32/1.68
% 1.32/1.68 { && }.
% 1.32/1.68 { aNaturalNumber0( sz00 ) }.
% 1.32/1.68 { aNaturalNumber0( sz10 ) }.
% 1.32/1.68 { ! sz10 = sz00 }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 1.32/1.68 ( X, Y ) ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 1.32/1.68 ( X, Y ) ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 1.32/1.68 sdtpldt0( Y, X ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.32/1.68 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 1.32/1.68 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 1.32/1.68 sdtasdt0( Y, X ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.32/1.68 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 1.32/1.68 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 1.32/1.68 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.32/1.68 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 1.32/1.68 , Z ) ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.32/1.68 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 1.32/1.68 , X ) ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.32/1.68 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.32/1.68 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 1.32/1.68 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 1.32/1.68 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 1.32/1.68 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 1.32/1.68 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 1.32/1.68 , X = sz00 }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 1.32/1.68 , Y = sz00 }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 1.32/1.68 , X = sz00, Y = sz00 }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 1.32/1.68 aNaturalNumber0( skol1( Z, T ) ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 1.32/1.68 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.32/1.68 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 1.32/1.68 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 1.32/1.68 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 1.32/1.68 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 1.32/1.68 sdtlseqdt0( Y, X ), X = Y }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.32/1.68 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 1.32/1.68 X }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 1.32/1.68 sdtlseqdt0( Y, X ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.32/1.68 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 1.32/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.32/1.68 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 1.32/1.68 ) ) }.
% 1.32/1.68 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 1.32/1.68 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 1.32/1.68 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 18.66/19.02 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 18.66/19.02 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 18.66/19.02 ) }.
% 18.66/19.02 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 18.66/19.02 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 18.66/19.02 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 18.66/19.02 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 18.66/19.02 sdtasdt0( Z, X ) ) }.
% 18.66/19.02 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 18.66/19.02 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 18.66/19.02 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 18.66/19.02 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 18.66/19.02 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 18.66/19.02 ) }.
% 18.66/19.02 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 18.66/19.02 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 18.66/19.02 { aNaturalNumber0( xm ) }.
% 18.66/19.02 { aNaturalNumber0( xn ) }.
% 18.66/19.02 { xm = sz00, sdtlseqdt0( sz10, xm ) }.
% 18.66/19.02 { ! xm = sz00 }.
% 18.66/19.02 { ! sdtlseqdt0( xn, sdtasdt0( xn, xm ) ) }.
% 18.66/19.02
% 18.66/19.02 percentage equality = 0.317460, percentage horn = 0.763636
% 18.66/19.02 This is a problem with some equality
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Options Used:
% 18.66/19.02
% 18.66/19.02 useres = 1
% 18.66/19.02 useparamod = 1
% 18.66/19.02 useeqrefl = 1
% 18.66/19.02 useeqfact = 1
% 18.66/19.02 usefactor = 1
% 18.66/19.02 usesimpsplitting = 0
% 18.66/19.02 usesimpdemod = 5
% 18.66/19.02 usesimpres = 3
% 18.66/19.02
% 18.66/19.02 resimpinuse = 1000
% 18.66/19.02 resimpclauses = 20000
% 18.66/19.02 substype = eqrewr
% 18.66/19.02 backwardsubs = 1
% 18.66/19.02 selectoldest = 5
% 18.66/19.02
% 18.66/19.02 litorderings [0] = split
% 18.66/19.02 litorderings [1] = extend the termordering, first sorting on arguments
% 18.66/19.02
% 18.66/19.02 termordering = kbo
% 18.66/19.02
% 18.66/19.02 litapriori = 0
% 18.66/19.02 termapriori = 1
% 18.66/19.02 litaposteriori = 0
% 18.66/19.02 termaposteriori = 0
% 18.66/19.02 demodaposteriori = 0
% 18.66/19.02 ordereqreflfact = 0
% 18.66/19.02
% 18.66/19.02 litselect = negord
% 18.66/19.02
% 18.66/19.02 maxweight = 15
% 18.66/19.02 maxdepth = 30000
% 18.66/19.02 maxlength = 115
% 18.66/19.02 maxnrvars = 195
% 18.66/19.02 excuselevel = 1
% 18.66/19.02 increasemaxweight = 1
% 18.66/19.02
% 18.66/19.02 maxselected = 10000000
% 18.66/19.02 maxnrclauses = 10000000
% 18.66/19.02
% 18.66/19.02 showgenerated = 0
% 18.66/19.02 showkept = 0
% 18.66/19.02 showselected = 0
% 18.66/19.02 showdeleted = 0
% 18.66/19.02 showresimp = 1
% 18.66/19.02 showstatus = 2000
% 18.66/19.02
% 18.66/19.02 prologoutput = 0
% 18.66/19.02 nrgoals = 5000000
% 18.66/19.02 totalproof = 1
% 18.66/19.02
% 18.66/19.02 Symbols occurring in the translation:
% 18.66/19.02
% 18.66/19.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 18.66/19.02 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 18.66/19.02 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 18.66/19.02 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 18.66/19.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 18.66/19.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 18.66/19.02 aNaturalNumber0 [36, 1] (w:1, o:18, a:1, s:1, b:0),
% 18.66/19.02 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 18.66/19.02 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 18.66/19.02 sdtpldt0 [40, 2] (w:1, o:43, a:1, s:1, b:0),
% 18.66/19.02 sdtasdt0 [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 18.66/19.02 sdtlseqdt0 [43, 2] (w:1, o:45, a:1, s:1, b:0),
% 18.66/19.02 sdtmndt0 [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 18.66/19.02 xm [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 18.66/19.02 xn [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 18.66/19.02 alpha1 [47, 3] (w:1, o:48, a:1, s:1, b:1),
% 18.66/19.02 alpha2 [48, 3] (w:1, o:49, a:1, s:1, b:1),
% 18.66/19.02 skol1 [49, 2] (w:1, o:47, a:1, s:1, b:1).
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Starting Search:
% 18.66/19.02
% 18.66/19.02 *** allocated 15000 integers for clauses
% 18.66/19.02 *** allocated 22500 integers for clauses
% 18.66/19.02 *** allocated 33750 integers for clauses
% 18.66/19.02 *** allocated 50625 integers for clauses
% 18.66/19.02 *** allocated 15000 integers for termspace/termends
% 18.66/19.02 *** allocated 75937 integers for clauses
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 *** allocated 22500 integers for termspace/termends
% 18.66/19.02 *** allocated 113905 integers for clauses
% 18.66/19.02 *** allocated 33750 integers for termspace/termends
% 18.66/19.02 *** allocated 170857 integers for clauses
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 10289
% 18.66/19.02 Kept: 2109
% 18.66/19.02 Inuse: 105
% 18.66/19.02 Deleted: 10
% 18.66/19.02 Deletedinuse: 9
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 *** allocated 50625 integers for termspace/termends
% 18.66/19.02 *** allocated 256285 integers for clauses
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 *** allocated 75937 integers for termspace/termends
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 26841
% 18.66/19.02 Kept: 4189
% 18.66/19.02 Inuse: 166
% 18.66/19.02 Deleted: 16
% 18.66/19.02 Deletedinuse: 11
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 *** allocated 113905 integers for termspace/termends
% 18.66/19.02 *** allocated 384427 integers for clauses
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 *** allocated 170857 integers for termspace/termends
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 48032
% 18.66/19.02 Kept: 6200
% 18.66/19.02 Inuse: 206
% 18.66/19.02 Deleted: 23
% 18.66/19.02 Deletedinuse: 12
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 *** allocated 576640 integers for clauses
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 72552
% 18.66/19.02 Kept: 8200
% 18.66/19.02 Inuse: 278
% 18.66/19.02 Deleted: 39
% 18.66/19.02 Deletedinuse: 13
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 110384
% 18.66/19.02 Kept: 10215
% 18.66/19.02 Inuse: 345
% 18.66/19.02 Deleted: 46
% 18.66/19.02 Deletedinuse: 14
% 18.66/19.02
% 18.66/19.02 *** allocated 864960 integers for clauses
% 18.66/19.02 *** allocated 256285 integers for termspace/termends
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 136112
% 18.66/19.02 Kept: 12355
% 18.66/19.02 Inuse: 396
% 18.66/19.02 Deleted: 85
% 18.66/19.02 Deletedinuse: 15
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 185920
% 18.66/19.02 Kept: 14384
% 18.66/19.02 Inuse: 455
% 18.66/19.02 Deleted: 129
% 18.66/19.02 Deletedinuse: 22
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 *** allocated 1297440 integers for clauses
% 18.66/19.02 *** allocated 384427 integers for termspace/termends
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 215718
% 18.66/19.02 Kept: 17763
% 18.66/19.02 Inuse: 512
% 18.66/19.02 Deleted: 152
% 18.66/19.02 Deletedinuse: 23
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 229986
% 18.66/19.02 Kept: 19897
% 18.66/19.02 Inuse: 541
% 18.66/19.02 Deleted: 158
% 18.66/19.02 Deletedinuse: 23
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 Resimplifying clauses:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 235303
% 18.66/19.02 Kept: 22255
% 18.66/19.02 Inuse: 545
% 18.66/19.02 Deleted: 2878
% 18.66/19.02 Deletedinuse: 23
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 *** allocated 1946160 integers for clauses
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 241084
% 18.66/19.02 Kept: 25588
% 18.66/19.02 Inuse: 555
% 18.66/19.02 Deleted: 2880
% 18.66/19.02 Deletedinuse: 25
% 18.66/19.02
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02 *** allocated 576640 integers for termspace/termends
% 18.66/19.02 Resimplifying inuse:
% 18.66/19.02 Done
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Intermediate Status:
% 18.66/19.02 Generated: 247332
% 18.66/19.02 Kept: 27606
% 18.66/19.02 Inuse: 568
% 18.66/19.02 Deleted: 2880
% 18.66/19.02 Deletedinuse: 25
% 18.66/19.02
% 18.66/19.02
% 18.66/19.02 Bliksems!, er is een bewijs:
% 18.66/19.02 % SZS status Theorem
% 18.66/19.02 % SZS output start Refutation
% 18.66/19.02
% 18.66/19.02 (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 18.66/19.02 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 18.66/19.02 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 18.66/19.02 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 18.66/19.02 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 18.66/19.02 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 18.66/19.02 (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 18.66/19.02 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 18.66/19.02 (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) ==>
% 18.66/19.02 X }.
% 18.66/19.02 (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( sz00, X ) ==>
% 18.66/19.02 X }.
% 18.66/19.02 (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.02 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 18.66/19.02 (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 18.66/19.02 ==> X }.
% 18.66/19.02 (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( sz10, X )
% 18.66/19.02 ==> X }.
% 18.66/19.02 (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 18.66/19.02 ==> sz00 }.
% 18.66/19.02 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 18.66/19.02 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 18.66/19.02 sdtasdt0( X, Z ), Y = Z }.
% 18.66/19.02 (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.02 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 18.66/19.02 }.
% 18.66/19.02 (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.02 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 18.66/19.02 }.
% 18.66/19.02 (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.02 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 18.66/19.02 }.
% 18.66/19.02 (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.02 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 18.66/19.02 , Z = sdtmndt0( Y, X ) }.
% 18.66/19.02 (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 18.66/19.02 (33) {G0,W15,D2,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.02 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 18.66/19.02 sdtlseqdt0( X, Z ) }.
% 18.66/19.02 (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.02 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 18.66/19.02 (43) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.02 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 18.66/19.02 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 18.66/19.02 (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 18.66/19.02 (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 18.66/19.02 (52) {G0,W6,D2,L2,V0,M2} I { xm ==> sz00, sdtlseqdt0( sz10, xm ) }.
% 18.66/19.02 (53) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 18.66/19.02 (54) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn, xm ) ) }.
% 18.66/19.02 (75) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X = sz00, !
% 18.66/19.02 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 18.66/19.02 (89) {G1,W12,D3,L4,V2,M4} F(27) { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 18.66/19.02 ( Y ), ! sdtpldt0( X, Y ) ==> Y, sdtlseqdt0( X, Y ) }.
% 18.66/19.02 (90) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ), !
% 18.66/19.02 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 18.66/19.02 (101) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X ), !
% 18.66/19.02 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0(
% 18.66/19.02 sdtpldt0( X, Y ), X ) ==> Y }.
% 18.66/19.02 (102) {G2,W9,D4,L2,V1,M2} F(101);r(90) { ! aNaturalNumber0( X ), sdtmndt0(
% 18.66/19.02 sdtpldt0( X, X ), X ) ==> X }.
% 18.66/19.02 (142) {G1,W3,D2,L1,V0,M1} R(31,1) { sdtlseqdt0( sz00, sz00 ) }.
% 18.66/19.02 (165) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ), aNaturalNumber0
% 18.66/19.02 ( sdtasdt0( xm, X ) ) }.
% 18.66/19.02 (166) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ), aNaturalNumber0
% 18.66/19.02 ( sdtasdt0( X, xm ) ) }.
% 18.66/19.02 (189) {G1,W3,D2,L1,V0,M1} S(52);r(53) { sdtlseqdt0( sz10, xm ) }.
% 18.66/19.02 (226) {G2,W4,D3,L1,V0,M1} R(165,2) { aNaturalNumber0( sdtasdt0( xm, sz10 )
% 18.66/19.02 ) }.
% 18.66/19.02 (228) {G2,W4,D3,L1,V0,M1} R(165,51) { aNaturalNumber0( sdtasdt0( xm, xn ) )
% 18.66/19.02 }.
% 18.66/19.02 (285) {G3,W6,D4,L1,V0,M1} R(228,165) { aNaturalNumber0( sdtasdt0( xm,
% 18.66/19.02 sdtasdt0( xm, xn ) ) ) }.
% 18.66/19.02 (309) {G2,W4,D3,L1,V0,M1} R(166,2) { aNaturalNumber0( sdtasdt0( sz10, xm )
% 18.66/19.03 ) }.
% 18.66/19.03 (310) {G2,W4,D3,L1,V0,M1} R(166,51) { aNaturalNumber0( sdtasdt0( xn, xm ) )
% 18.66/19.03 }.
% 18.66/19.03 (350) {G3,W6,D4,L1,V0,M1} R(310,166) { aNaturalNumber0( sdtasdt0( sdtasdt0
% 18.66/19.03 ( xn, xm ), xm ) ) }.
% 18.66/19.03 (387) {G1,W7,D3,L2,V0,M2} P(10,54);r(51) { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 18.66/19.03 xn ) ), ! aNaturalNumber0( xm ) }.
% 18.66/19.03 (577) {G1,W5,D3,L1,V0,M1} R(12,50) { sdtasdt0( xm, sz10 ) ==> xm }.
% 18.66/19.03 (578) {G1,W5,D3,L1,V0,M1} R(12,51) { sdtasdt0( xn, sz10 ) ==> xn }.
% 18.66/19.03 (593) {G3,W5,D3,L1,V0,M1} R(13,226);d(577) { sdtasdt0( sz10, xm ) ==> xm
% 18.66/19.03 }.
% 18.66/19.03 (648) {G4,W5,D3,L1,V0,M1} R(14,309);d(593) { sdtasdt0( xm, sz00 ) ==> sz00
% 18.66/19.03 }.
% 18.66/19.03 (2604) {G1,W9,D3,L3,V2,M3} R(27,6);f;f;r(4) { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ) }.
% 18.66/19.03 (2612) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 18.66/19.03 (2652) {G2,W5,D2,L2,V1,M2} F(2612);q { ! aNaturalNumber0( X ), sdtlseqdt0(
% 18.66/19.03 sz00, X ) }.
% 18.66/19.03 (2734) {G3,W3,D2,L1,V0,M1} R(2652,50) { sdtlseqdt0( sz00, xm ) }.
% 18.66/19.03 (2735) {G3,W3,D2,L1,V0,M1} R(2652,51) { sdtlseqdt0( sz00, xn ) }.
% 18.66/19.03 (2825) {G1,W20,D4,L6,V4,M6} R(28,4) { ! aNaturalNumber0( X ), ! sdtlseqdt0
% 18.66/19.03 ( X, sdtpldt0( Y, Z ) ), ! T = sdtmndt0( sdtpldt0( Y, Z ), X ),
% 18.66/19.03 aNaturalNumber0( T ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 18.66/19.03 (2864) {G2,W13,D4,L4,V3,M4} F(2825);r(2604) { ! aNaturalNumber0( X ), ! Z =
% 18.66/19.03 sdtmndt0( sdtpldt0( Y, X ), X ), aNaturalNumber0( Z ), ! aNaturalNumber0
% 18.66/19.03 ( Y ) }.
% 18.66/19.03 (2865) {G3,W7,D2,L3,V2,M3} F(2864);d(102) { ! aNaturalNumber0( X ),
% 18.66/19.03 aNaturalNumber0( Y ), ! Y = X }.
% 18.66/19.03 (3219) {G1,W15,D3,L5,V2,M5} R(30,1);d(8) { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==> sz00, !
% 18.66/19.03 X = Y }.
% 18.66/19.03 (3287) {G2,W7,D3,L2,V1,M2} F(3219);q;r(31) { ! aNaturalNumber0( X ),
% 18.66/19.03 sdtmndt0( X, X ) ==> sz00 }.
% 18.66/19.03 (3475) {G1,W22,D3,L7,V4,M7} R(33,29);f;f { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 18.66/19.03 sdtlseqdt0( Y, Z ), ! T = sdtmndt0( Z, X ), sdtpldt0( X, T ) = Z }.
% 18.66/19.03 (3479) {G1,W19,D3,L7,V4,M7} R(33,28);f;f { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 18.66/19.03 sdtlseqdt0( Y, Z ), ! T = sdtmndt0( Z, X ), aNaturalNumber0( T ) }.
% 18.66/19.03 (3515) {G3,W7,D2,L3,V2,M3} F(3479);f;f;d(3287);r(31) { ! aNaturalNumber0( X
% 18.66/19.03 ), aNaturalNumber0( Y ), ! Y = sz00 }.
% 18.66/19.03 (3516) {G3,W10,D3,L3,V2,M3} F(3475);f;f;d(3287);r(31) { ! aNaturalNumber0(
% 18.66/19.03 X ), sdtpldt0( X, Y ) ==> X, ! Y = sz00 }.
% 18.66/19.03 (3631) {G1,W9,D3,L2,V0,M2} R(34,54);r(51) { ! aNaturalNumber0( sdtasdt0( xn
% 18.66/19.03 , xm ) ), ! sdtasdt0( xn, xm ) ==> xn }.
% 18.66/19.03 (5368) {G2,W15,D3,L5,V1,M5} R(43,189);d(13);r(2) { ! aNaturalNumber0( X ),
% 18.66/19.03 ! aNaturalNumber0( xm ), X = sz00, xm ==> sz10, sdtlseqdt0( X, sdtasdt0(
% 18.66/19.03 xm, X ) ) }.
% 18.66/19.03 (12672) {G4,W5,D2,L2,V1,M2} R(3515,285) { aNaturalNumber0( X ), ! X = sz00
% 18.66/19.03 }.
% 18.66/19.03 (12678) {G4,W15,D3,L5,V3,M5} R(3515,89) { ! aNaturalNumber0( X ), ! Y =
% 18.66/19.03 sz00, ! aNaturalNumber0( Z ), ! sdtpldt0( Y, Z ) ==> Z, sdtlseqdt0( Y, Z
% 18.66/19.03 ) }.
% 18.66/19.03 (12705) {G4,W12,D3,L4,V3,M4} R(3515,6);d(3516) { ! aNaturalNumber0( X ), !
% 18.66/19.03 Y = sz00, ! aNaturalNumber0( Z ), sdtpldt0( Y, Z ) ==> Z }.
% 18.66/19.03 (12714) {G5,W10,D3,L3,V2,M3} F(12705) { ! aNaturalNumber0( X ), ! Y = sz00
% 18.66/19.03 , sdtpldt0( Y, X ) ==> X }.
% 18.66/19.03 (12725) {G6,W8,D2,L3,V2,M3} F(12678);d(12714);q { ! aNaturalNumber0( X ), !
% 18.66/19.03 Y = sz00, sdtlseqdt0( Y, X ) }.
% 18.66/19.03 (12747) {G7,W15,D3,L5,V3,M5} R(12672,30);d(12714);r(12725) { ! X = sz00, !
% 18.66/19.03 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), Z = sdtmndt0( Y, X ), ! Z =
% 18.66/19.03 Y }.
% 18.66/19.03 (12770) {G5,W8,D3,L2,V1,M2} R(12672,9) { ! X = sz00, sdtpldt0( sz00, X )
% 18.66/19.03 ==> X }.
% 18.66/19.03 (12774) {G5,W6,D2,L2,V1,M2} R(12672,31) { ! X = sz00, sdtlseqdt0( X, X )
% 18.66/19.03 }.
% 18.66/19.03 (12777) {G8,W10,D3,L3,V2,M3} F(12747);q { ! X = sz00, ! aNaturalNumber0( Y
% 18.66/19.03 ), sdtmndt0( Y, X ) ==> Y }.
% 18.66/19.03 (12778) {G9,W11,D3,L3,V2,M3} R(12774,29);f;d(12777);r(12672) { ! X = sz00,
% 18.66/19.03 sdtpldt0( X, Y ) ==> X, ! Y = X }.
% 18.66/19.03 (12793) {G10,W6,D2,L2,V1,M2} Q(12778);d(12770) { ! X = sz00, X = sz00 }.
% 18.66/19.03 (12873) {G11,W6,D2,L2,V1,M2} P(12793,2735) { sdtlseqdt0( X, xn ), ! X =
% 18.66/19.03 sz00 }.
% 18.66/19.03 (12874) {G11,W6,D2,L2,V1,M2} P(12793,2734) { sdtlseqdt0( X, xm ), ! X =
% 18.66/19.03 sz00 }.
% 18.66/19.03 (13199) {G12,W13,D3,L4,V2,M4} R(12873,29);d(12777);r(12672) { ! X = sz00, !
% 18.66/19.03 aNaturalNumber0( xn ), sdtpldt0( X, Y ) ==> xn, ! Y = xn }.
% 18.66/19.03 (13216) {G13,W8,D3,L2,V1,M2} Q(13199);r(51) { sdtpldt0( sz00, X ) ==> xn, !
% 18.66/19.03 X = xn }.
% 18.66/19.03 (13220) {G12,W13,D3,L4,V2,M4} R(12874,29);d(12777);r(12672) { ! X = sz00, !
% 18.66/19.03 aNaturalNumber0( xm ), sdtpldt0( X, Y ) ==> xm, ! Y = xm }.
% 18.66/19.03 (13237) {G13,W8,D3,L2,V1,M2} Q(13220);r(50) { sdtpldt0( sz00, X ) ==> xm, !
% 18.66/19.03 X = xm }.
% 18.66/19.03 (13536) {G4,W5,D2,L2,V1,M2} R(2865,50) { aNaturalNumber0( X ), ! X = xm }.
% 18.66/19.03 (13537) {G4,W5,D2,L2,V1,M2} R(2865,51) { aNaturalNumber0( X ), ! X = xn }.
% 18.66/19.03 (13686) {G14,W6,D2,L2,V1,M2} R(13536,9);d(13237) { ! X = xm, xm = X }.
% 18.66/19.03 (13759) {G14,W6,D2,L2,V1,M2} R(13537,9);d(13216) { ! X = xn, xn = X }.
% 18.66/19.03 (13797) {G15,W5,D3,L1,V0,M1} P(13759,350);r(3631) { ! sdtasdt0( xn, xm )
% 18.66/19.03 ==> xn }.
% 18.66/19.03 (14378) {G16,W3,D2,L1,V0,M1} P(13686,578);r(13797) { ! xm ==> sz10 }.
% 18.66/19.03 (22082) {G17,W10,D3,L3,V1,M3} S(5368);r(50);r(14378) { ! aNaturalNumber0( X
% 18.66/19.03 ), X = sz00, sdtlseqdt0( X, sdtasdt0( xm, X ) ) }.
% 18.66/19.03 (22254) {G2,W5,D3,L1,V0,M1} S(387);r(50) { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 18.66/19.03 xn ) ) }.
% 18.66/19.03 (27983) {G15,W8,D3,L2,V1,M2} P(13759,22254) { ! sdtlseqdt0( X, sdtasdt0( xm
% 18.66/19.03 , X ) ), ! X = xn }.
% 18.66/19.03 (27995) {G18,W14,D3,L4,V1,M4} P(75,22254);r(22082) { ! aNaturalNumber0( X )
% 18.66/19.03 , X = sz00, ! aNaturalNumber0( xn ), ! sdtasdt0( X, X ) = sdtasdt0( X, xn
% 18.66/19.03 ) }.
% 18.66/19.03 (28009) {G19,W3,D2,L1,V0,M1} F(27995);q;r(51) { xn ==> sz00 }.
% 18.66/19.03 (28010) {G20,W0,D0,L0,V0,M0} Q(27983);d(28009);d(648);r(142) { }.
% 18.66/19.03
% 18.66/19.03
% 18.66/19.03 % SZS output end Refutation
% 18.66/19.03 found a proof!
% 18.66/19.03
% 18.66/19.03
% 18.66/19.03 Unprocessed initial clauses:
% 18.66/19.03
% 18.66/19.03 (28012) {G0,W1,D1,L1,V0,M1} { && }.
% 18.66/19.03 (28013) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 18.66/19.03 (28014) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 18.66/19.03 (28015) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 18.66/19.03 (28016) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.03 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 18.66/19.03 (28017) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 18.66/19.03 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 18.66/19.03 (28018) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 18.66/19.03 (28019) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 18.66/19.03 X, sdtpldt0( Y, Z ) ) }.
% 18.66/19.03 (28020) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 18.66/19.03 = X }.
% 18.66/19.03 (28021) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 18.66/19.03 X ) }.
% 18.66/19.03 (28022) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 18.66/19.03 (28023) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 18.66/19.03 X, sdtasdt0( Y, Z ) ) }.
% 18.66/19.03 (28024) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 18.66/19.03 = X }.
% 18.66/19.03 (28025) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 18.66/19.03 X ) }.
% 18.66/19.03 (28026) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 18.66/19.03 = sz00 }.
% 18.66/19.03 (28027) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 18.66/19.03 sz00, X ) }.
% 18.66/19.03 (28028) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 18.66/19.03 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 18.66/19.03 (28029) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 18.66/19.03 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 18.66/19.03 (28030) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 18.66/19.03 }.
% 18.66/19.03 (28031) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 18.66/19.03 }.
% 18.66/19.03 (28032) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 18.66/19.03 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 18.66/19.03 sdtasdt0( X, Z ), Y = Z }.
% 18.66/19.03 (28033) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 18.66/19.03 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 18.66/19.03 sdtasdt0( Z, X ), Y = Z }.
% 18.66/19.03 (28034) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 18.66/19.03 (28035) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 18.66/19.03 (28036) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 18.66/19.03 (28037) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 18.66/19.03 (28038) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 18.66/19.03 (28039) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 18.66/19.03 }.
% 18.66/19.03 (28040) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 18.66/19.03 }.
% 18.66/19.03 (28041) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 18.66/19.03 }.
% 18.66/19.03 (28042) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 18.66/19.03 , Z = sdtmndt0( Y, X ) }.
% 18.66/19.03 (28043) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 18.66/19.03 }.
% 18.66/19.03 (28044) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 18.66/19.03 (28045) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 18.66/19.03 sdtlseqdt0( X, Z ) }.
% 18.66/19.03 (28046) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 18.66/19.03 (28047) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 18.66/19.03 (28048) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 18.66/19.03 ) }.
% 18.66/19.03 (28049) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 18.66/19.03 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 18.66/19.03 (28050) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 18.66/19.03 sdtpldt0( Z, Y ) }.
% 18.66/19.03 (28051) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 18.66/19.03 Z, X ), sdtpldt0( Z, Y ) ) }.
% 18.66/19.03 (28052) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 18.66/19.03 sdtpldt0( Y, Z ) }.
% 18.66/19.03 (28053) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 18.66/19.03 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 18.66/19.03 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 18.66/19.03 (28054) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 18.66/19.03 alpha2( X, Y, Z ) }.
% 18.66/19.03 (28055) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 18.66/19.03 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 18.66/19.03 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 18.66/19.03 (28056) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 18.66/19.03 sdtasdt0( X, Z ) }.
% 18.66/19.03 (28057) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 18.66/19.03 X, Y ), sdtasdt0( X, Z ) ) }.
% 18.66/19.03 (28058) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 18.66/19.03 sdtasdt0( Z, X ) }.
% 18.66/19.03 (28059) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 18.66/19.03 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 18.66/19.03 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 18.66/19.03 (28060) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 18.66/19.03 , ! sz10 = X }.
% 18.66/19.03 (28061) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 18.66/19.03 , sdtlseqdt0( sz10, X ) }.
% 18.66/19.03 (28062) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 18.66/19.03 (28063) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 18.66/19.03 (28064) {G0,W6,D2,L2,V0,M2} { xm = sz00, sdtlseqdt0( sz10, xm ) }.
% 18.66/19.03 (28065) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 18.66/19.03 (28066) {G0,W5,D3,L1,V0,M1} { ! sdtlseqdt0( xn, sdtasdt0( xn, xm ) ) }.
% 18.66/19.03
% 18.66/19.03
% 18.66/19.03 Total Proof:
% 18.66/19.03
% 18.66/19.03 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 18.66/19.03 parent0: (28013) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 18.66/19.03 parent0: (28014) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 18.66/19.03 parent0: (28016) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 Y := Y
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 2 ==> 2
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 18.66/19.03 parent0: (28017) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 Y := Y
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 2 ==> 2
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 18.66/19.03 parent0: (28018) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 Y := Y
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 2 ==> 2
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 18.66/19.03 X, sz00 ) ==> X }.
% 18.66/19.03 parent0: (28020) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X
% 18.66/19.03 , sz00 ) = X }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 eqswap: (28104) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 18.66/19.03 aNaturalNumber0( X ) }.
% 18.66/19.03 parent0[1]: (28021) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 18.66/19.03 sdtpldt0( sz00, X ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 18.66/19.03 sz00, X ) ==> X }.
% 18.66/19.03 parent0: (28104) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 18.66/19.03 aNaturalNumber0( X ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 1
% 18.66/19.03 1 ==> 0
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 18.66/19.03 parent0: (28022) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 Y := Y
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 2 ==> 2
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 18.66/19.03 ( X, sz10 ) ==> X }.
% 18.66/19.03 parent0: (28024) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X
% 18.66/19.03 , sz10 ) = X }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 eqswap: (28173) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 18.66/19.03 aNaturalNumber0( X ) }.
% 18.66/19.03 parent0[1]: (28025) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 18.66/19.03 sdtasdt0( sz10, X ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 18.66/19.03 ( sz10, X ) ==> X }.
% 18.66/19.03 parent0: (28173) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 18.66/19.03 aNaturalNumber0( X ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 1
% 18.66/19.03 1 ==> 0
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 18.66/19.03 ( X, sz00 ) ==> sz00 }.
% 18.66/19.03 parent0: (28026) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X
% 18.66/19.03 , sz00 ) = sz00 }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 18.66/19.03 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 18.66/19.03 sdtasdt0( X, Z ), Y = Z }.
% 18.66/19.03 parent0: (28032) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00,
% 18.66/19.03 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 18.66/19.03 sdtasdt0( X, Z ), Y = Z }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 Y := Y
% 18.66/19.03 Z := Z
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 2 ==> 2
% 18.66/19.03 3 ==> 3
% 18.66/19.03 4 ==> 4
% 18.66/19.03 5 ==> 5
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 18.66/19.03 sdtlseqdt0( X, Y ) }.
% 18.66/19.03 parent0: (28039) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 18.66/19.03 sdtlseqdt0( X, Y ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 Y := Y
% 18.66/19.03 Z := Z
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 2 ==> 2
% 18.66/19.03 3 ==> 3
% 18.66/19.03 4 ==> 4
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 18.66/19.03 aNaturalNumber0( Z ) }.
% 18.66/19.03 parent0: (28040) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 18.66/19.03 aNaturalNumber0( Z ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 Y := Y
% 18.66/19.03 Z := Z
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 2 ==> 2
% 18.66/19.03 3 ==> 3
% 18.66/19.03 4 ==> 4
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 18.66/19.03 sdtpldt0( X, Z ) = Y }.
% 18.66/19.03 parent0: (28041) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 18.66/19.03 sdtpldt0( X, Z ) = Y }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 Y := Y
% 18.66/19.03 Z := Z
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 2 ==> 2
% 18.66/19.03 3 ==> 3
% 18.66/19.03 4 ==> 4
% 18.66/19.03 end
% 18.66/19.03
% 18.66/19.03 subsumption: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 18.66/19.03 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 18.66/19.03 parent0: (28042) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 18.66/19.03 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 18.66/19.03 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 18.66/19.03 substitution0:
% 18.66/19.03 X := X
% 18.66/19.03 Y := Y
% 18.66/19.03 Z := Z
% 18.66/19.03 end
% 18.66/19.03 permutation0:
% 18.66/19.03 0 ==> 0
% 18.66/19.03 1 ==> 1
% 18.66/19.03 2 ==> 2
% 18.66/19.03 3 ==> 3
% 18.66/19.03 4 ==> 4
% 18.69/19.04 5 ==> 5
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 18.69/19.04 sdtlseqdt0( X, X ) }.
% 18.69/19.04 parent0: (28043) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 18.69/19.04 ( X, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (33) {G0,W15,D2,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 18.69/19.04 sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 18.69/19.04 parent0: (28045) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 18.69/19.04 sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := Z
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 2 ==> 2
% 18.69/19.04 3 ==> 3
% 18.69/19.04 4 ==> 4
% 18.69/19.04 5 ==> 5
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 18.69/19.04 parent0: (28046) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 2 ==> 2
% 18.69/19.04 3 ==> 3
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (43) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, !
% 18.69/19.04 sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 18.69/19.04 parent0: (28055) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, !
% 18.69/19.04 sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := Z
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 2 ==> 2
% 18.69/19.04 3 ==> 3
% 18.69/19.04 4 ==> 4
% 18.69/19.04 5 ==> 5
% 18.69/19.04 6 ==> 6
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 18.69/19.04 parent0: (28062) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 18.69/19.04 parent0: (28063) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (52) {G0,W6,D2,L2,V0,M2} I { xm ==> sz00, sdtlseqdt0( sz10, xm
% 18.69/19.04 ) }.
% 18.69/19.04 parent0: (28064) {G0,W6,D2,L2,V0,M2} { xm = sz00, sdtlseqdt0( sz10, xm )
% 18.69/19.04 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (53) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 18.69/19.04 parent0: (28065) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (54) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn,
% 18.69/19.04 xm ) ) }.
% 18.69/19.04 parent0: (28066) {G0,W5,D3,L1,V0,M1} { ! sdtlseqdt0( xn, sdtasdt0( xn, xm
% 18.69/19.04 ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31206) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00, !
% 18.69/19.04 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 18.69/19.04 parent0[0, 2]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X =
% 18.69/19.04 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y )
% 18.69/19.04 = sdtasdt0( X, Z ), Y = Z }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := X
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (75) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X =
% 18.69/19.04 sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X =
% 18.69/19.04 Y }.
% 18.69/19.04 parent0: (31206) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00,
% 18.69/19.04 ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 2 ==> 2
% 18.69/19.04 3 ==> 3
% 18.69/19.04 4 ==> 4
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31231) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = Y, sdtlseqdt0( X, Y ) }.
% 18.69/19.04 parent0[1, 2]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 18.69/19.04 sdtlseqdt0( X, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (89) {G1,W12,D3,L4,V2,M4} F(27) { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> Y, sdtlseqdt0( X, Y ) }.
% 18.69/19.04 parent0: (31231) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = Y, sdtlseqdt0( X, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 2 ==> 2
% 18.69/19.04 3 ==> 3
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31237) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 18.69/19.04 sdtlseqdt0( X, Z ) }.
% 18.69/19.04 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 18.69/19.04 sdtlseqdt0( X, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Z
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqrefl: (31238) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 18.69/19.04 X, sdtpldt0( X, Y ) ) }.
% 18.69/19.04 parent0[0]: (31237) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 18.69/19.04 sdtlseqdt0( X, Z ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := sdtpldt0( X, Y )
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31243) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[1]: (31238) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 18.69/19.04 X, sdtpldt0( X, Y ) ) }.
% 18.69/19.04 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31245) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 18.69/19.04 aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[0, 3]: (31243) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31247) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 18.69/19.04 parent0[1, 3]: (31245) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 18.69/19.04 aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (90) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ),
% 18.69/19.04 ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 18.69/19.04 parent0: (31247) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 2 ==> 2
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31249) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 18.69/19.04 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 18.69/19.04 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 18.69/19.04 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Z
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqrefl: (31252) {G0,W20,D4,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( X, Y ) ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) )
% 18.69/19.04 , ! aNaturalNumber0( Y ), Y = sdtmndt0( sdtpldt0( X, Y ), X ) }.
% 18.69/19.04 parent0[0]: (31249) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 18.69/19.04 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := sdtpldt0( X, Y )
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31260) {G1,W20,D4,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), Y = sdtmndt0(
% 18.69/19.04 sdtpldt0( X, Y ), X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[1]: (31252) {G0,W20,D4,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( X, Y ) ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) )
% 18.69/19.04 , ! aNaturalNumber0( Y ), Y = sdtmndt0( sdtpldt0( X, Y ), X ) }.
% 18.69/19.04 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31261) {G1,W20,D4,L6,V2,M6} { sdtmndt0( sdtpldt0( Y, X ), Y ) = X
% 18.69/19.04 , ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, sdtpldt0( Y, X ) ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[3]: (31260) {G1,W20,D4,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), Y = sdtmndt0(
% 18.69/19.04 sdtpldt0( X, Y ), X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31263) {G1,W18,D4,L5,V2,M5} { sdtmndt0( sdtpldt0( X, Y ), X ) = Y
% 18.69/19.04 , ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[1, 4]: (31261) {G1,W20,D4,L6,V2,M6} { sdtmndt0( sdtpldt0( Y, X ),
% 18.69/19.04 Y ) = X, ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, sdtpldt0( Y, X ) ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31265) {G1,W16,D4,L4,V2,M4} { sdtmndt0( sdtpldt0( X, Y ), X ) = Y
% 18.69/19.04 , ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 18.69/19.04 aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[3, 4]: (31263) {G1,W18,D4,L5,V2,M5} { sdtmndt0( sdtpldt0( X, Y ),
% 18.69/19.04 X ) = Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (101) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X )
% 18.69/19.04 , ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0(
% 18.69/19.04 sdtpldt0( X, Y ), X ) ==> Y }.
% 18.69/19.04 parent0: (31265) {G1,W16,D4,L4,V2,M4} { sdtmndt0( sdtpldt0( X, Y ), X ) =
% 18.69/19.04 Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 18.69/19.04 aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 3
% 18.69/19.04 1 ==> 0
% 18.69/19.04 2 ==> 1
% 18.69/19.04 3 ==> 2
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31274) {G1,W14,D4,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( X, sdtpldt0( X, X ) ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X
% 18.69/19.04 }.
% 18.69/19.04 parent0[0, 2]: (101) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X
% 18.69/19.04 ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0
% 18.69/19.04 ( sdtpldt0( X, Y ), X ) ==> Y }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31275) {G2,W13,D4,L4,V1,M4} { ! aNaturalNumber0( X ),
% 18.69/19.04 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[1]: (31274) {G1,W14,D4,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( X, sdtpldt0( X, X ) ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X
% 18.69/19.04 }.
% 18.69/19.04 parent1[2]: (90) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := X
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31279) {G2,W11,D4,L3,V1,M3} { ! aNaturalNumber0( X ), sdtmndt0(
% 18.69/19.04 sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[0, 2]: (31275) {G2,W13,D4,L4,V1,M4} { ! aNaturalNumber0( X ),
% 18.69/19.04 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31280) {G2,W9,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0(
% 18.69/19.04 sdtpldt0( X, X ), X ) ==> X }.
% 18.69/19.04 parent0[0, 2]: (31279) {G2,W11,D4,L3,V1,M3} { ! aNaturalNumber0( X ),
% 18.69/19.04 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (102) {G2,W9,D4,L2,V1,M2} F(101);r(90) { ! aNaturalNumber0( X
% 18.69/19.04 ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X }.
% 18.69/19.04 parent0: (31280) {G2,W9,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0(
% 18.69/19.04 sdtpldt0( X, X ), X ) ==> X }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31281) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, sz00 ) }.
% 18.69/19.04 parent0[0]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 18.69/19.04 ( X, X ) }.
% 18.69/19.04 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := sz00
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (142) {G1,W3,D2,L1,V0,M1} R(31,1) { sdtlseqdt0( sz00, sz00 )
% 18.69/19.04 }.
% 18.69/19.04 parent0: (31281) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, sz00 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31282) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 18.69/19.04 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 18.69/19.04 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := xm
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (165) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 18.69/19.04 parent0: (31282) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31285) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 18.69/19.04 parent0[1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 18.69/19.04 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := xm
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (166) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 18.69/19.04 parent0: (31285) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31288) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz10, xm ) }.
% 18.69/19.04 parent0[0]: (53) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 18.69/19.04 parent1[0]: (52) {G0,W6,D2,L2,V0,M2} I { xm ==> sz00, sdtlseqdt0( sz10, xm
% 18.69/19.04 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (189) {G1,W3,D2,L1,V0,M1} S(52);r(53) { sdtlseqdt0( sz10, xm )
% 18.69/19.04 }.
% 18.69/19.04 parent0: (31288) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz10, xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31289) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 18.69/19.04 sz10 ) ) }.
% 18.69/19.04 parent0[0]: (165) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 18.69/19.04 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := sz10
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (226) {G2,W4,D3,L1,V0,M1} R(165,2) { aNaturalNumber0( sdtasdt0
% 18.69/19.04 ( xm, sz10 ) ) }.
% 18.69/19.04 parent0: (31289) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm, sz10
% 18.69/19.04 ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31290) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 18.69/19.04 xn ) ) }.
% 18.69/19.04 parent0[0]: (165) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 18.69/19.04 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := xn
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (228) {G2,W4,D3,L1,V0,M1} R(165,51) { aNaturalNumber0(
% 18.69/19.04 sdtasdt0( xm, xn ) ) }.
% 18.69/19.04 parent0: (31290) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm, xn )
% 18.69/19.04 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31291) {G2,W6,D4,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 18.69/19.04 sdtasdt0( xm, xn ) ) ) }.
% 18.69/19.04 parent0[0]: (165) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 18.69/19.04 parent1[0]: (228) {G2,W4,D3,L1,V0,M1} R(165,51) { aNaturalNumber0( sdtasdt0
% 18.69/19.04 ( xm, xn ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := sdtasdt0( xm, xn )
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (285) {G3,W6,D4,L1,V0,M1} R(228,165) { aNaturalNumber0(
% 18.69/19.04 sdtasdt0( xm, sdtasdt0( xm, xn ) ) ) }.
% 18.69/19.04 parent0: (31291) {G2,W6,D4,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 18.69/19.04 sdtasdt0( xm, xn ) ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31292) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( sz10
% 18.69/19.04 , xm ) ) }.
% 18.69/19.04 parent0[0]: (166) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 18.69/19.04 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := sz10
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (309) {G2,W4,D3,L1,V0,M1} R(166,2) { aNaturalNumber0( sdtasdt0
% 18.69/19.04 ( sz10, xm ) ) }.
% 18.69/19.04 parent0: (31292) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( sz10, xm
% 18.69/19.04 ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31293) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn,
% 18.69/19.04 xm ) ) }.
% 18.69/19.04 parent0[0]: (166) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 18.69/19.04 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := xn
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (310) {G2,W4,D3,L1,V0,M1} R(166,51) { aNaturalNumber0(
% 18.69/19.04 sdtasdt0( xn, xm ) ) }.
% 18.69/19.04 parent0: (31293) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn, xm )
% 18.69/19.04 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31294) {G2,W6,D4,L1,V0,M1} { aNaturalNumber0( sdtasdt0(
% 18.69/19.04 sdtasdt0( xn, xm ), xm ) ) }.
% 18.69/19.04 parent0[0]: (166) {G1,W6,D3,L2,V1,M2} R(5,50) { ! aNaturalNumber0( X ),
% 18.69/19.04 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 18.69/19.04 parent1[0]: (310) {G2,W4,D3,L1,V0,M1} R(166,51) { aNaturalNumber0( sdtasdt0
% 18.69/19.04 ( xn, xm ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := sdtasdt0( xn, xm )
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (350) {G3,W6,D4,L1,V0,M1} R(310,166) { aNaturalNumber0(
% 18.69/19.04 sdtasdt0( sdtasdt0( xn, xm ), xm ) ) }.
% 18.69/19.04 parent0: (31294) {G2,W6,D4,L1,V0,M1} { aNaturalNumber0( sdtasdt0( sdtasdt0
% 18.69/19.04 ( xn, xm ), xm ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 paramod: (31295) {G1,W9,D3,L3,V0,M3} { ! sdtlseqdt0( xn, sdtasdt0( xm, xn
% 18.69/19.04 ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xm ) }.
% 18.69/19.04 parent0[2]: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 18.69/19.04 parent1[0; 3]: (54) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn
% 18.69/19.04 , xm ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := xn
% 18.69/19.04 Y := xm
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31335) {G1,W7,D3,L2,V0,M2} { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 18.69/19.04 xn ) ), ! aNaturalNumber0( xm ) }.
% 18.69/19.04 parent0[1]: (31295) {G1,W9,D3,L3,V0,M3} { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 18.69/19.04 xn ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xm ) }.
% 18.69/19.04 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (387) {G1,W7,D3,L2,V0,M2} P(10,54);r(51) { ! sdtlseqdt0( xn,
% 18.69/19.04 sdtasdt0( xm, xn ) ), ! aNaturalNumber0( xm ) }.
% 18.69/19.04 parent0: (31335) {G1,W7,D3,L2,V0,M2} { ! sdtlseqdt0( xn, sdtasdt0( xm, xn
% 18.69/19.04 ) ), ! aNaturalNumber0( xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31336) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[1]: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 18.69/19.04 X, sz10 ) ==> X }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31337) {G1,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xm, sz10 ) }.
% 18.69/19.04 parent0[1]: (31336) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := xm
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31338) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> xm }.
% 18.69/19.04 parent0[0]: (31337) {G1,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xm, sz10 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (577) {G1,W5,D3,L1,V0,M1} R(12,50) { sdtasdt0( xm, sz10 ) ==>
% 18.69/19.04 xm }.
% 18.69/19.04 parent0: (31338) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> xm }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31339) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[1]: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 18.69/19.04 X, sz10 ) ==> X }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31340) {G1,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xn, sz10 ) }.
% 18.69/19.04 parent0[1]: (31339) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := xn
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31341) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xn, sz10 ) ==> xn }.
% 18.69/19.04 parent0[0]: (31340) {G1,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xn, sz10 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (578) {G1,W5,D3,L1,V0,M1} R(12,51) { sdtasdt0( xn, sz10 ) ==>
% 18.69/19.04 xn }.
% 18.69/19.04 parent0: (31341) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xn, sz10 ) ==> xn }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31342) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( sz10, X ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[1]: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 18.69/19.04 sz10, X ) ==> X }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31344) {G1,W9,D4,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 18.69/19.04 sdtasdt0( sz10, sdtasdt0( xm, sz10 ) ) }.
% 18.69/19.04 parent0[1]: (31342) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( sz10, X ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent1[0]: (226) {G2,W4,D3,L1,V0,M1} R(165,2) { aNaturalNumber0( sdtasdt0
% 18.69/19.04 ( xm, sz10 ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := sdtasdt0( xm, sz10 )
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 paramod: (31346) {G2,W7,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> sdtasdt0(
% 18.69/19.04 sz10, xm ) }.
% 18.69/19.04 parent0[0]: (577) {G1,W5,D3,L1,V0,M1} R(12,50) { sdtasdt0( xm, sz10 ) ==>
% 18.69/19.04 xm }.
% 18.69/19.04 parent1[0; 6]: (31344) {G1,W9,D4,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 18.69/19.04 sdtasdt0( sz10, sdtasdt0( xm, sz10 ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 paramod: (31347) {G2,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( sz10, xm ) }.
% 18.69/19.04 parent0[0]: (577) {G1,W5,D3,L1,V0,M1} R(12,50) { sdtasdt0( xm, sz10 ) ==>
% 18.69/19.04 xm }.
% 18.69/19.04 parent1[0; 1]: (31346) {G2,W7,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 18.69/19.04 sdtasdt0( sz10, xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31349) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz10, xm ) ==> xm }.
% 18.69/19.04 parent0[0]: (31347) {G2,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( sz10, xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (593) {G3,W5,D3,L1,V0,M1} R(13,226);d(577) { sdtasdt0( sz10,
% 18.69/19.04 xm ) ==> xm }.
% 18.69/19.04 parent0: (31349) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz10, xm ) ==> xm }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31351) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[1]: (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 18.69/19.04 X, sz00 ) ==> sz00 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31353) {G1,W7,D4,L1,V0,M1} { sz00 ==> sdtasdt0( sdtasdt0(
% 18.69/19.04 sz10, xm ), sz00 ) }.
% 18.69/19.04 parent0[1]: (31351) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent1[0]: (309) {G2,W4,D3,L1,V0,M1} R(166,2) { aNaturalNumber0( sdtasdt0
% 18.69/19.04 ( sz10, xm ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := sdtasdt0( sz10, xm )
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 paramod: (31354) {G2,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xm, sz00 ) }.
% 18.69/19.04 parent0[0]: (593) {G3,W5,D3,L1,V0,M1} R(13,226);d(577) { sdtasdt0( sz10, xm
% 18.69/19.04 ) ==> xm }.
% 18.69/19.04 parent1[0; 3]: (31353) {G1,W7,D4,L1,V0,M1} { sz00 ==> sdtasdt0( sdtasdt0(
% 18.69/19.04 sz10, xm ), sz00 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31355) {G2,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz00 ) ==> sz00 }.
% 18.69/19.04 parent0[0]: (31354) {G2,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xm, sz00 )
% 18.69/19.04 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (648) {G4,W5,D3,L1,V0,M1} R(14,309);d(593) { sdtasdt0( xm,
% 18.69/19.04 sz00 ) ==> sz00 }.
% 18.69/19.04 parent0: (31355) {G2,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz00 ) ==> sz00 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31356) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 18.69/19.04 sdtlseqdt0( X, Z ) }.
% 18.69/19.04 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 18.69/19.04 sdtlseqdt0( X, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Z
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31357) {G1,W17,D3,L6,V2,M6} { ! aNaturalNumber0( Y ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), sdtlseqdt0(
% 18.69/19.04 Y, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[0]: (31356) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 18.69/19.04 sdtlseqdt0( X, Z ) }.
% 18.69/19.04 parent1[2]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 Z := sdtpldt0( X, Y )
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31359) {G1,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 18.69/19.04 X, sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[0, 5]: (31357) {G1,W17,D3,L6,V2,M6} { ! aNaturalNumber0( Y ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), sdtlseqdt0(
% 18.69/19.04 Y, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31361) {G1,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 18.69/19.04 X, sdtpldt0( Y, X ) ) }.
% 18.69/19.04 parent0[2, 4]: (31359) {G1,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 18.69/19.04 X, sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31375) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[1]: (31361) {G1,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( sdtpldt0( Y, X ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 18.69/19.04 X, sdtpldt0( Y, X ) ) }.
% 18.69/19.04 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31377) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ), !
% 18.69/19.04 aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[0, 4]: (31375) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31379) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ) }.
% 18.69/19.04 parent0[1, 3]: (31377) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ), !
% 18.69/19.04 aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (2604) {G1,W9,D3,L3,V2,M3} R(27,6);f;f;r(4) { !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y
% 18.69/19.04 , X ) ) }.
% 18.69/19.04 parent0: (31379) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 2 ==> 2
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31381) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 18.69/19.04 sdtlseqdt0( X, Z ) }.
% 18.69/19.04 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 18.69/19.04 sdtlseqdt0( X, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Z
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31383) {G1,W12,D3,L4,V2,M4} { ! X = sdtpldt0( sz00, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 18.69/19.04 parent0[1]: (31381) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 18.69/19.04 sdtlseqdt0( X, Z ) }.
% 18.69/19.04 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := sz00
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := X
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 paramod: (31391) {G1,W12,D2,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 18.69/19.04 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 18.69/19.04 sz00, X ) ==> X }.
% 18.69/19.04 parent1[0; 3]: (31383) {G1,W12,D3,L4,V2,M4} { ! X = sdtpldt0( sz00, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31392) {G1,W12,D2,L5,V2,M5} { ! Y = X, ! aNaturalNumber0( Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 18.69/19.04 parent0[0]: (31391) {G1,W12,D2,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y )
% 18.69/19.04 , ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X )
% 18.69/19.04 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31394) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( sz00, Y ) }.
% 18.69/19.04 parent0[1, 3]: (31392) {G1,W12,D2,L5,V2,M5} { ! Y = X, ! aNaturalNumber0(
% 18.69/19.04 Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X
% 18.69/19.04 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (2612) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0(
% 18.69/19.04 X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 18.69/19.04 parent0: (31394) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), sdtlseqdt0( sz00, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 3
% 18.69/19.04 1 ==> 1
% 18.69/19.04 2 ==> 0
% 18.69/19.04 3 ==> 2
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31397) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 18.69/19.04 aNaturalNumber0( X ), sdtlseqdt0( sz00, Y ) }.
% 18.69/19.04 parent0[3]: (2612) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0( X
% 18.69/19.04 ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31398) {G1,W8,D2,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X ),
% 18.69/19.04 sdtlseqdt0( sz00, X ) }.
% 18.69/19.04 parent0[1, 2]: (31397) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0(
% 18.69/19.04 Y ), ! aNaturalNumber0( X ), sdtlseqdt0( sz00, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqrefl: (31399) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0(
% 18.69/19.04 sz00, X ) }.
% 18.69/19.04 parent0[0]: (31398) {G1,W8,D2,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X )
% 18.69/19.04 , sdtlseqdt0( sz00, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (2652) {G2,W5,D2,L2,V1,M2} F(2612);q { ! aNaturalNumber0( X )
% 18.69/19.04 , sdtlseqdt0( sz00, X ) }.
% 18.69/19.04 parent0: (31399) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 18.69/19.04 ( sz00, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31400) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xm ) }.
% 18.69/19.04 parent0[0]: (2652) {G2,W5,D2,L2,V1,M2} F(2612);q { ! aNaturalNumber0( X ),
% 18.69/19.04 sdtlseqdt0( sz00, X ) }.
% 18.69/19.04 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := xm
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (2734) {G3,W3,D2,L1,V0,M1} R(2652,50) { sdtlseqdt0( sz00, xm )
% 18.69/19.04 }.
% 18.69/19.04 parent0: (31400) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xm ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31401) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xn ) }.
% 18.69/19.04 parent0[0]: (2652) {G2,W5,D2,L2,V1,M2} F(2612);q { ! aNaturalNumber0( X ),
% 18.69/19.04 sdtlseqdt0( sz00, X ) }.
% 18.69/19.04 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := xn
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (2735) {G3,W3,D2,L1,V0,M1} R(2652,51) { sdtlseqdt0( sz00, xn )
% 18.69/19.04 }.
% 18.69/19.04 parent0: (31401) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xn ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31402) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 18.69/19.04 aNaturalNumber0( Z ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Z
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31404) {G1,W20,D4,L6,V4,M6} { ! sdtmndt0( sdtpldt0( X, Y ), Z
% 18.69/19.04 ) = T, ! aNaturalNumber0( Z ), ! sdtlseqdt0( Z, sdtpldt0( X, Y ) ),
% 18.69/19.04 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[2]: (31402) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := T
% 18.69/19.04 Y := sdtpldt0( X, Y )
% 18.69/19.04 Z := Z
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31405) {G1,W20,D4,L6,V4,M6} { ! T = sdtmndt0( sdtpldt0( X, Y ), Z
% 18.69/19.04 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( Z, sdtpldt0( X, Y ) ),
% 18.69/19.04 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[0]: (31404) {G1,W20,D4,L6,V4,M6} { ! sdtmndt0( sdtpldt0( X, Y ), Z
% 18.69/19.04 ) = T, ! aNaturalNumber0( Z ), ! sdtlseqdt0( Z, sdtpldt0( X, Y ) ),
% 18.69/19.04 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := Z
% 18.69/19.04 T := T
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (2825) {G1,W20,D4,L6,V4,M6} R(28,4) { ! aNaturalNumber0( X ),
% 18.69/19.04 ! sdtlseqdt0( X, sdtpldt0( Y, Z ) ), ! T = sdtmndt0( sdtpldt0( Y, Z ), X
% 18.69/19.04 ), aNaturalNumber0( T ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z )
% 18.69/19.04 }.
% 18.69/19.04 parent0: (31405) {G1,W20,D4,L6,V4,M6} { ! T = sdtmndt0( sdtpldt0( X, Y ),
% 18.69/19.04 Z ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( Z, sdtpldt0( X, Y ) ),
% 18.69/19.04 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := Z
% 18.69/19.04 Z := X
% 18.69/19.04 T := T
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 2
% 18.69/19.04 1 ==> 0
% 18.69/19.04 2 ==> 1
% 18.69/19.04 3 ==> 3
% 18.69/19.04 4 ==> 4
% 18.69/19.04 5 ==> 5
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31429) {G1,W18,D4,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( X, sdtpldt0( Y, X ) ), ! Z = sdtmndt0( sdtpldt0( Y, X ), X )
% 18.69/19.04 , aNaturalNumber0( Z ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[0, 5]: (2825) {G1,W20,D4,L6,V4,M6} R(28,4) { ! aNaturalNumber0( X )
% 18.69/19.04 , ! sdtlseqdt0( X, sdtpldt0( Y, Z ) ), ! T = sdtmndt0( sdtpldt0( Y, Z ),
% 18.69/19.04 X ), aNaturalNumber0( T ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z )
% 18.69/19.04 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := X
% 18.69/19.04 T := Z
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31452) {G2,W17,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! Z =
% 18.69/19.04 sdtmndt0( sdtpldt0( Y, X ), X ), aNaturalNumber0( Z ), ! aNaturalNumber0
% 18.69/19.04 ( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[1]: (31429) {G1,W18,D4,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( X, sdtpldt0( Y, X ) ), ! Z = sdtmndt0( sdtpldt0( Y, X ), X )
% 18.69/19.04 , aNaturalNumber0( Z ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent1[2]: (2604) {G1,W9,D3,L3,V2,M3} R(27,6);f;f;r(4) { ! aNaturalNumber0
% 18.69/19.04 ( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( Y, X ) ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := Z
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31460) {G2,W15,D4,L5,V3,M5} { ! aNaturalNumber0( X ), ! Y =
% 18.69/19.04 sdtmndt0( sdtpldt0( Z, X ), X ), aNaturalNumber0( Y ), ! aNaturalNumber0
% 18.69/19.04 ( Z ), ! aNaturalNumber0( Z ) }.
% 18.69/19.04 parent0[0, 4]: (31452) {G2,W17,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! Z
% 18.69/19.04 = sdtmndt0( sdtpldt0( Y, X ), X ), aNaturalNumber0( Z ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Z
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31462) {G2,W13,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! Y =
% 18.69/19.04 sdtmndt0( sdtpldt0( Z, X ), X ), aNaturalNumber0( Y ), ! aNaturalNumber0
% 18.69/19.04 ( Z ) }.
% 18.69/19.04 parent0[3, 4]: (31460) {G2,W15,D4,L5,V3,M5} { ! aNaturalNumber0( X ), ! Y
% 18.69/19.04 = sdtmndt0( sdtpldt0( Z, X ), X ), aNaturalNumber0( Y ), !
% 18.69/19.04 aNaturalNumber0( Z ), ! aNaturalNumber0( Z ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := Z
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (2864) {G2,W13,D4,L4,V3,M4} F(2825);r(2604) { !
% 18.69/19.04 aNaturalNumber0( X ), ! Z = sdtmndt0( sdtpldt0( Y, X ), X ),
% 18.69/19.04 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0: (31462) {G2,W13,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! Y =
% 18.69/19.04 sdtmndt0( sdtpldt0( Z, X ), X ), aNaturalNumber0( Y ), ! aNaturalNumber0
% 18.69/19.04 ( Z ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Z
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 2 ==> 2
% 18.69/19.04 3 ==> 3
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31467) {G2,W11,D4,L3,V2,M3} { ! aNaturalNumber0( X ), ! Y =
% 18.69/19.04 sdtmndt0( sdtpldt0( X, X ), X ), aNaturalNumber0( Y ) }.
% 18.69/19.04 parent0[0, 3]: (2864) {G2,W13,D4,L4,V3,M4} F(2825);r(2604) { !
% 18.69/19.04 aNaturalNumber0( X ), ! Z = sdtmndt0( sdtpldt0( Y, X ), X ),
% 18.69/19.04 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := X
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 paramod: (31468) {G3,W9,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( Y ), !
% 18.69/19.04 aNaturalNumber0( Y ), aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[1]: (102) {G2,W9,D4,L2,V1,M2} F(101);r(90) { ! aNaturalNumber0( X )
% 18.69/19.04 , sdtmndt0( sdtpldt0( X, X ), X ) ==> X }.
% 18.69/19.04 parent1[1; 3]: (31467) {G2,W11,D4,L3,V2,M3} { ! aNaturalNumber0( X ), ! Y
% 18.69/19.04 = sdtmndt0( sdtpldt0( X, X ), X ), aNaturalNumber0( Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31471) {G3,W7,D2,L3,V2,M3} { ! X = Y, ! aNaturalNumber0( Y ),
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[1, 2]: (31468) {G3,W9,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( Y
% 18.69/19.04 ), ! aNaturalNumber0( Y ), aNaturalNumber0( X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (2865) {G3,W7,D2,L3,V2,M3} F(2864);d(102) { ! aNaturalNumber0
% 18.69/19.04 ( X ), aNaturalNumber0( Y ), ! Y = X }.
% 18.69/19.04 parent0: (31471) {G3,W7,D2,L3,V2,M3} { ! X = Y, ! aNaturalNumber0( Y ),
% 18.69/19.04 aNaturalNumber0( X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 2
% 18.69/19.04 1 ==> 0
% 18.69/19.04 2 ==> 1
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31472) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 18.69/19.04 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 18.69/19.04 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 18.69/19.04 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Z
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31478) {G1,W17,D3,L5,V2,M5} { ! X = sdtpldt0( Y, sz00 ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), sz00
% 18.69/19.04 = sdtmndt0( X, Y ) }.
% 18.69/19.04 parent0[4]: (31472) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 18.69/19.04 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 18.69/19.04 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := sz00
% 18.69/19.04 Z := X
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 paramod: (31486) {G1,W17,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), sz00
% 18.69/19.04 = sdtmndt0( X, Y ) }.
% 18.69/19.04 parent0[1]: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X
% 18.69/19.04 , sz00 ) ==> X }.
% 18.69/19.04 parent1[0; 3]: (31478) {G1,W17,D3,L5,V2,M5} { ! X = sdtpldt0( Y, sz00 ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), sz00
% 18.69/19.04 = sdtmndt0( X, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31488) {G1,W17,D3,L6,V2,M6} { sdtmndt0( X, Y ) = sz00, ! X = Y, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( Y, X ) }.
% 18.69/19.04 parent0[5]: (31486) {G1,W17,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y )
% 18.69/19.04 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ),
% 18.69/19.04 sz00 = sdtmndt0( X, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31489) {G1,W17,D3,L6,V2,M6} { ! Y = X, sdtmndt0( X, Y ) = sz00, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( Y, X ) }.
% 18.69/19.04 parent0[1]: (31488) {G1,W17,D3,L6,V2,M6} { sdtmndt0( X, Y ) = sz00, ! X =
% 18.69/19.04 Y, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X )
% 18.69/19.04 , ! sdtlseqdt0( Y, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31492) {G1,W15,D3,L5,V2,M5} { ! X = Y, sdtmndt0( Y, X ) = sz00, !
% 18.69/19.04 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ) }.
% 18.69/19.04 parent0[2, 3]: (31489) {G1,W17,D3,L6,V2,M6} { ! Y = X, sdtmndt0( X, Y ) =
% 18.69/19.04 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 18.69/19.04 X ), ! sdtlseqdt0( Y, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (3219) {G1,W15,D3,L5,V2,M5} R(30,1);d(8) { ! aNaturalNumber0(
% 18.69/19.04 X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 18.69/19.04 sz00, ! X = Y }.
% 18.69/19.04 parent0: (31492) {G1,W15,D3,L5,V2,M5} { ! X = Y, sdtmndt0( Y, X ) = sz00,
% 18.69/19.04 ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 4
% 18.69/19.04 1 ==> 3
% 18.69/19.04 2 ==> 0
% 18.69/19.04 3 ==> 1
% 18.69/19.04 4 ==> 2
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31497) {G1,W15,D3,L5,V2,M5} { ! Y = X, ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==> sz00 }.
% 18.69/19.04 parent0[4]: (3219) {G1,W15,D3,L5,V2,M5} R(30,1);d(8) { ! aNaturalNumber0( X
% 18.69/19.04 ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 18.69/19.04 sz00, ! X = Y }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31500) {G1,W13,D3,L4,V1,M4} { ! X = X, ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 18.69/19.04 parent0[1, 2]: (31497) {G1,W15,D3,L5,V2,M5} { ! Y = X, ! aNaturalNumber0(
% 18.69/19.04 X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 18.69/19.04 sz00 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqrefl: (31501) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 18.69/19.04 parent0[0]: (31500) {G1,W13,D3,L4,V1,M4} { ! X = X, ! aNaturalNumber0( X )
% 18.69/19.04 , ! sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31502) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( X ), sdtmndt0
% 18.69/19.04 ( X, X ) ==> sz00, ! aNaturalNumber0( X ) }.
% 18.69/19.04 parent0[1]: (31501) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 18.69/19.04 parent1[1]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 18.69/19.04 ( X, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31505) {G1,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0( X
% 18.69/19.04 , X ) ==> sz00 }.
% 18.69/19.04 parent0[0, 2]: (31502) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( X ),
% 18.69/19.04 sdtmndt0( X, X ) ==> sz00, ! aNaturalNumber0( X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (3287) {G2,W7,D3,L2,V1,M2} F(3219);q;r(31) { ! aNaturalNumber0
% 18.69/19.04 ( X ), sdtmndt0( X, X ) ==> sz00 }.
% 18.69/19.04 parent0: (31505) {G1,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0( X
% 18.69/19.04 , X ) ==> sz00 }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 end
% 18.69/19.04 permutation0:
% 18.69/19.04 0 ==> 0
% 18.69/19.04 1 ==> 1
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31506) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 18.69/19.04 sdtpldt0( Z, X ) = Y }.
% 18.69/19.04 parent0[3]: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 18.69/19.04 sdtpldt0( X, Z ) = Y }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Z
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 resolution: (31509) {G1,W26,D3,L9,V4,M9} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), sdtpldt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( T ), ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.04 parent0[3]: (31506) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 18.69/19.04 sdtpldt0( Z, X ) = Y }.
% 18.69/19.04 parent1[5]: (33) {G0,W15,D2,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 18.69/19.04 sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Z
% 18.69/19.04 Y := X
% 18.69/19.04 Z := Y
% 18.69/19.04 end
% 18.69/19.04 substitution1:
% 18.69/19.04 X := Y
% 18.69/19.04 Y := T
% 18.69/19.04 Z := X
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31511) {G1,W24,D3,L8,V4,M8} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), sdtpldt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, T ), !
% 18.69/19.04 sdtlseqdt0( T, X ) }.
% 18.69/19.04 parent0[1, 4]: (31509) {G1,W26,D3,L9,V4,M9} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), sdtpldt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( T ), ! aNaturalNumber0( X ), !
% 18.69/19.04 sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := Z
% 18.69/19.04 T := T
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 factor: (31520) {G1,W22,D3,L7,V4,M7} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), sdtpldt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( T ), ! sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.04 parent0[2, 5]: (31511) {G1,W24,D3,L8,V4,M8} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), sdtpldt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, T ), !
% 18.69/19.04 sdtlseqdt0( T, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := Z
% 18.69/19.04 T := T
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 eqswap: (31545) {G1,W22,D3,L7,V4,M7} { ! Z = sdtmndt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), sdtpldt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( T ), ! sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.04 parent0[0]: (31520) {G1,W22,D3,L7,V4,M7} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), sdtpldt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( T ), ! sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := X
% 18.69/19.04 Y := Y
% 18.69/19.04 Z := Z
% 18.69/19.04 T := T
% 18.69/19.04 end
% 18.69/19.04
% 18.69/19.04 subsumption: (3475) {G1,W22,D3,L7,V4,M7} R(33,29);f;f { ! aNaturalNumber0(
% 18.69/19.04 X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y )
% 18.69/19.04 , ! sdtlseqdt0( Y, Z ), ! T = sdtmndt0( Z, X ), sdtpldt0( X, T ) = Z }.
% 18.69/19.04 parent0: (31545) {G1,W22,D3,L7,V4,M7} { ! Z = sdtmndt0( X, Y ), !
% 18.69/19.04 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), sdtpldt0( Y, Z ) = X, !
% 18.69/19.04 aNaturalNumber0( T ), ! sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.04 substitution0:
% 18.69/19.04 X := Z
% 18.69/19.04 Y := X
% 18.69/19.05 Z := T
% 18.69/19.05 T := Y
% 18.69/19.05 end
% 18.69/19.05 permutation0:
% 18.69/19.05 0 ==> 5
% 18.69/19.05 1 ==> 0
% 18.69/19.05 2 ==> 2
% 18.69/19.05 3 ==> 6
% 18.69/19.05 4 ==> 1
% 18.69/19.05 5 ==> 3
% 18.69/19.05 6 ==> 4
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31557) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 18.69/19.05 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 18.69/19.05 aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 18.69/19.05 aNaturalNumber0( Z ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Z
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31727) {G1,W23,D3,L9,V4,M9} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), aNaturalNumber0( Z ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( T ), ! aNaturalNumber0( X ), !
% 18.69/19.05 sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.05 parent0[3]: (31557) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 18.69/19.05 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 18.69/19.05 aNaturalNumber0( X ) }.
% 18.69/19.05 parent1[5]: (33) {G0,W15,D2,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 18.69/19.05 sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Z
% 18.69/19.05 Y := X
% 18.69/19.05 Z := Y
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := T
% 18.69/19.05 Z := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31729) {G1,W21,D3,L8,V4,M8} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), aNaturalNumber0( Z ), !
% 18.69/19.05 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, T ), !
% 18.69/19.05 sdtlseqdt0( T, X ) }.
% 18.69/19.05 parent0[1, 4]: (31727) {G1,W23,D3,L9,V4,M9} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), aNaturalNumber0( Z ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( T ), ! aNaturalNumber0( X ), !
% 18.69/19.05 sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := Z
% 18.69/19.05 T := T
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31738) {G1,W19,D3,L7,V4,M7} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), aNaturalNumber0( Z ), !
% 18.69/19.05 aNaturalNumber0( T ), ! sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.05 parent0[2, 5]: (31729) {G1,W21,D3,L8,V4,M8} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), aNaturalNumber0( Z ), !
% 18.69/19.05 aNaturalNumber0( T ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, T ), !
% 18.69/19.05 sdtlseqdt0( T, X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := Z
% 18.69/19.05 T := T
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31749) {G1,W19,D3,L7,V4,M7} { ! Z = sdtmndt0( X, Y ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), aNaturalNumber0( Z ), !
% 18.69/19.05 aNaturalNumber0( T ), ! sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.05 parent0[0]: (31738) {G1,W19,D3,L7,V4,M7} { ! sdtmndt0( X, Y ) = Z, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), aNaturalNumber0( Z ), !
% 18.69/19.05 aNaturalNumber0( T ), ! sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := Z
% 18.69/19.05 T := T
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 subsumption: (3479) {G1,W19,D3,L7,V4,M7} R(33,28);f;f { ! aNaturalNumber0(
% 18.69/19.05 X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y )
% 18.69/19.05 , ! sdtlseqdt0( Y, Z ), ! T = sdtmndt0( Z, X ), aNaturalNumber0( T ) }.
% 18.69/19.05 parent0: (31749) {G1,W19,D3,L7,V4,M7} { ! Z = sdtmndt0( X, Y ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), aNaturalNumber0( Z ), !
% 18.69/19.05 aNaturalNumber0( T ), ! sdtlseqdt0( Y, T ), ! sdtlseqdt0( T, X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Z
% 18.69/19.05 Y := X
% 18.69/19.05 Z := T
% 18.69/19.05 T := Y
% 18.69/19.05 end
% 18.69/19.05 permutation0:
% 18.69/19.05 0 ==> 5
% 18.69/19.05 1 ==> 0
% 18.69/19.05 2 ==> 2
% 18.69/19.05 3 ==> 6
% 18.69/19.05 4 ==> 1
% 18.69/19.05 5 ==> 3
% 18.69/19.05 6 ==> 4
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31762) {G1,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), ! Z =
% 18.69/19.05 sdtmndt0( X, X ), aNaturalNumber0( Z ) }.
% 18.69/19.05 parent0[0, 2]: (3479) {G1,W19,D3,L7,V4,M7} R(33,28);f;f { ! aNaturalNumber0
% 18.69/19.05 ( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y
% 18.69/19.05 ), ! sdtlseqdt0( Y, Z ), ! T = sdtmndt0( Z, X ), aNaturalNumber0( T )
% 18.69/19.05 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := X
% 18.69/19.05 T := Z
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 paramod: (31767) {G2,W17,D2,L7,V3,M7} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( Y, Z ), !
% 18.69/19.05 sdtlseqdt0( Z, Y ), aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[1]: (3287) {G2,W7,D3,L2,V1,M2} F(3219);q;r(31) { ! aNaturalNumber0
% 18.69/19.05 ( X ), sdtmndt0( X, X ) ==> sz00 }.
% 18.69/19.05 parent1[4; 3]: (31762) {G1,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), ! Z =
% 18.69/19.05 sdtmndt0( X, X ), aNaturalNumber0( Z ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := Z
% 18.69/19.05 Z := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31769) {G2,W14,D2,L6,V2,M6} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, Y ),
% 18.69/19.05 aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[4, 5]: (31767) {G2,W17,D2,L7,V3,M7} { ! X = sz00, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 18.69/19.05 sdtlseqdt0( Y, Z ), ! sdtlseqdt0( Z, Y ), aNaturalNumber0( X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31770) {G2,W12,D2,L5,V2,M5} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, Y ), aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[1, 2]: (31769) {G2,W14,D2,L6,V2,M6} { ! X = sz00, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), !
% 18.69/19.05 sdtlseqdt0( Y, Y ), aNaturalNumber0( X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31771) {G2,W10,D2,L4,V2,M4} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , ! sdtlseqdt0( Y, Y ), aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[1, 2]: (31770) {G2,W12,D2,L5,V2,M5} { ! X = sz00, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, Y ),
% 18.69/19.05 aNaturalNumber0( X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31780) {G1,W9,D2,L4,V2,M4} { ! X = sz00, ! aNaturalNumber0( Y
% 18.69/19.05 ), aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.05 parent0[2]: (31771) {G2,W10,D2,L4,V2,M4} { ! X = sz00, ! aNaturalNumber0(
% 18.69/19.05 Y ), ! sdtlseqdt0( Y, Y ), aNaturalNumber0( X ) }.
% 18.69/19.05 parent1[1]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 18.69/19.05 ( X, X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31783) {G1,W7,D2,L3,V2,M3} { ! X = sz00, ! aNaturalNumber0( Y ),
% 18.69/19.05 aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[1, 3]: (31780) {G1,W9,D2,L4,V2,M4} { ! X = sz00, ! aNaturalNumber0
% 18.69/19.05 ( Y ), aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 subsumption: (3515) {G3,W7,D2,L3,V2,M3} F(3479);f;f;d(3287);r(31) { !
% 18.69/19.05 aNaturalNumber0( X ), aNaturalNumber0( Y ), ! Y = sz00 }.
% 18.69/19.05 parent0: (31783) {G1,W7,D2,L3,V2,M3} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , aNaturalNumber0( X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 end
% 18.69/19.05 permutation0:
% 18.69/19.05 0 ==> 2
% 18.69/19.05 1 ==> 0
% 18.69/19.05 2 ==> 1
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31807) {G1,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), ! Z =
% 18.69/19.05 sdtmndt0( X, X ), sdtpldt0( X, Z ) = X }.
% 18.69/19.05 parent0[0, 2]: (3475) {G1,W22,D3,L7,V4,M7} R(33,29);f;f { ! aNaturalNumber0
% 18.69/19.05 ( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y
% 18.69/19.05 ), ! sdtlseqdt0( Y, Z ), ! T = sdtmndt0( Z, X ), sdtpldt0( X, T ) = Z
% 18.69/19.05 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := X
% 18.69/19.05 T := Z
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 paramod: (31812) {G2,W20,D3,L7,V3,M7} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( Y, Z ), !
% 18.69/19.05 sdtlseqdt0( Z, Y ), sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 parent0[1]: (3287) {G2,W7,D3,L2,V1,M2} F(3219);q;r(31) { ! aNaturalNumber0
% 18.69/19.05 ( X ), sdtmndt0( X, X ) ==> sz00 }.
% 18.69/19.05 parent1[4; 3]: (31807) {G1,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), ! Z =
% 18.69/19.05 sdtmndt0( X, X ), sdtpldt0( X, Z ) = X }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := Z
% 18.69/19.05 Z := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31814) {G2,W17,D3,L6,V2,M6} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, Y ),
% 18.69/19.05 sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 parent0[4, 5]: (31812) {G2,W20,D3,L7,V3,M7} { ! X = sz00, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 18.69/19.05 sdtlseqdt0( Y, Z ), ! sdtlseqdt0( Z, Y ), sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31815) {G2,W15,D3,L5,V2,M5} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, Y ), sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 parent0[1, 2]: (31814) {G2,W17,D3,L6,V2,M6} { ! X = sz00, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), !
% 18.69/19.05 sdtlseqdt0( Y, Y ), sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31816) {G2,W13,D3,L4,V2,M4} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , ! sdtlseqdt0( Y, Y ), sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 parent0[1, 2]: (31815) {G2,W15,D3,L5,V2,M5} { ! X = sz00, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, Y ),
% 18.69/19.05 sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31817) {G1,W12,D3,L4,V2,M4} { ! X = sz00, ! aNaturalNumber0(
% 18.69/19.05 Y ), sdtpldt0( Y, X ) = Y, ! aNaturalNumber0( Y ) }.
% 18.69/19.05 parent0[2]: (31816) {G2,W13,D3,L4,V2,M4} { ! X = sz00, ! aNaturalNumber0(
% 18.69/19.05 Y ), ! sdtlseqdt0( Y, Y ), sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 parent1[1]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 18.69/19.05 ( X, X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31824) {G1,W10,D3,L3,V2,M3} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 parent0[1, 3]: (31817) {G1,W12,D3,L4,V2,M4} { ! X = sz00, !
% 18.69/19.05 aNaturalNumber0( Y ), sdtpldt0( Y, X ) = Y, ! aNaturalNumber0( Y ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 subsumption: (3516) {G3,W10,D3,L3,V2,M3} F(3475);f;f;d(3287);r(31) { !
% 18.69/19.05 aNaturalNumber0( X ), sdtpldt0( X, Y ) ==> X, ! Y = sz00 }.
% 18.69/19.05 parent0: (31824) {G1,W10,D3,L3,V2,M3} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.05 , sdtpldt0( Y, X ) = Y }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 end
% 18.69/19.05 permutation0:
% 18.69/19.05 0 ==> 2
% 18.69/19.05 1 ==> 0
% 18.69/19.05 2 ==> 1
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31825) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 18.69/19.05 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 18.69/19.05 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31826) {G1,W11,D3,L3,V0,M3} { ! xn = sdtasdt0( xn, xm ), !
% 18.69/19.05 aNaturalNumber0( xn ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ) }.
% 18.69/19.05 parent0[0]: (54) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn, xm
% 18.69/19.05 ) ) }.
% 18.69/19.05 parent1[3]: (31825) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 18.69/19.05 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := sdtasdt0( xn, xm )
% 18.69/19.05 Y := xn
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31827) {G1,W9,D3,L2,V0,M2} { ! xn = sdtasdt0( xn, xm ), !
% 18.69/19.05 aNaturalNumber0( sdtasdt0( xn, xm ) ) }.
% 18.69/19.05 parent0[1]: (31826) {G1,W11,D3,L3,V0,M3} { ! xn = sdtasdt0( xn, xm ), !
% 18.69/19.05 aNaturalNumber0( xn ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ) }.
% 18.69/19.05 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31828) {G1,W9,D3,L2,V0,M2} { ! sdtasdt0( xn, xm ) = xn, !
% 18.69/19.05 aNaturalNumber0( sdtasdt0( xn, xm ) ) }.
% 18.69/19.05 parent0[0]: (31827) {G1,W9,D3,L2,V0,M2} { ! xn = sdtasdt0( xn, xm ), !
% 18.69/19.05 aNaturalNumber0( sdtasdt0( xn, xm ) ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 subsumption: (3631) {G1,W9,D3,L2,V0,M2} R(34,54);r(51) { ! aNaturalNumber0
% 18.69/19.05 ( sdtasdt0( xn, xm ) ), ! sdtasdt0( xn, xm ) ==> xn }.
% 18.69/19.05 parent0: (31828) {G1,W9,D3,L2,V0,M2} { ! sdtasdt0( xn, xm ) = xn, !
% 18.69/19.05 aNaturalNumber0( sdtasdt0( xn, xm ) ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 end
% 18.69/19.05 permutation0:
% 18.69/19.05 0 ==> 1
% 18.69/19.05 1 ==> 0
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31829) {G0,W22,D3,L7,V3,M7} { sz00 = X, ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), Y = Z, ! sdtlseqdt0( Y, Z
% 18.69/19.05 ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 18.69/19.05 parent0[3]: (43) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, !
% 18.69/19.05 sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := Z
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31833) {G1,W19,D3,L6,V1,M6} { sz00 = X, ! aNaturalNumber0( X
% 18.69/19.05 ), ! aNaturalNumber0( sz10 ), ! aNaturalNumber0( xm ), sz10 = xm,
% 18.69/19.05 sdtlseqdt0( sdtasdt0( sz10, X ), sdtasdt0( xm, X ) ) }.
% 18.69/19.05 parent0[5]: (31829) {G0,W22,D3,L7,V3,M7} { sz00 = X, ! aNaturalNumber0( X
% 18.69/19.05 ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), Y = Z, ! sdtlseqdt0(
% 18.69/19.05 Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 18.69/19.05 parent1[0]: (189) {G1,W3,D2,L1,V0,M1} S(52);r(53) { sdtlseqdt0( sz10, xm )
% 18.69/19.05 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := sz10
% 18.69/19.05 Z := xm
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 paramod: (31860) {G1,W19,D3,L7,V1,M7} { sdtlseqdt0( X, sdtasdt0( xm, X ) )
% 18.69/19.05 , ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( sz10 ), ! aNaturalNumber0( xm ), sz10 = xm }.
% 18.69/19.05 parent0[1]: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 18.69/19.05 sz10, X ) ==> X }.
% 18.69/19.05 parent1[5; 1]: (31833) {G1,W19,D3,L6,V1,M6} { sz00 = X, ! aNaturalNumber0
% 18.69/19.05 ( X ), ! aNaturalNumber0( sz10 ), ! aNaturalNumber0( xm ), sz10 = xm,
% 18.69/19.05 sdtlseqdt0( sdtasdt0( sz10, X ), sdtasdt0( xm, X ) ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31861) {G1,W17,D3,L6,V1,M6} { sdtlseqdt0( X, sdtasdt0( xm, X ) )
% 18.69/19.05 , ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( sz10 ), !
% 18.69/19.05 aNaturalNumber0( xm ), sz10 = xm }.
% 18.69/19.05 parent0[1, 3]: (31860) {G1,W19,D3,L7,V1,M7} { sdtlseqdt0( X, sdtasdt0( xm
% 18.69/19.05 , X ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( sz10 ), ! aNaturalNumber0( xm ), sz10 = xm }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31872) {G1,W15,D3,L5,V1,M5} { sdtlseqdt0( X, sdtasdt0( xm, X
% 18.69/19.05 ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( xm ), sz10 =
% 18.69/19.05 xm }.
% 18.69/19.05 parent0[3]: (31861) {G1,W17,D3,L6,V1,M6} { sdtlseqdt0( X, sdtasdt0( xm, X
% 18.69/19.05 ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( sz10 ), !
% 18.69/19.05 aNaturalNumber0( xm ), sz10 = xm }.
% 18.69/19.05 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31874) {G1,W15,D3,L5,V1,M5} { xm = sz10, sdtlseqdt0( X, sdtasdt0
% 18.69/19.05 ( xm, X ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( xm )
% 18.69/19.05 }.
% 18.69/19.05 parent0[4]: (31872) {G1,W15,D3,L5,V1,M5} { sdtlseqdt0( X, sdtasdt0( xm, X
% 18.69/19.05 ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( xm ), sz10 =
% 18.69/19.05 xm }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31875) {G1,W15,D3,L5,V1,M5} { X = sz00, xm = sz10, sdtlseqdt0( X
% 18.69/19.05 , sdtasdt0( xm, X ) ), ! aNaturalNumber0( X ), ! aNaturalNumber0( xm )
% 18.69/19.05 }.
% 18.69/19.05 parent0[3]: (31874) {G1,W15,D3,L5,V1,M5} { xm = sz10, sdtlseqdt0( X,
% 18.69/19.05 sdtasdt0( xm, X ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0
% 18.69/19.05 ( xm ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 subsumption: (5368) {G2,W15,D3,L5,V1,M5} R(43,189);d(13);r(2) { !
% 18.69/19.05 aNaturalNumber0( X ), ! aNaturalNumber0( xm ), X = sz00, xm ==> sz10,
% 18.69/19.05 sdtlseqdt0( X, sdtasdt0( xm, X ) ) }.
% 18.69/19.05 parent0: (31875) {G1,W15,D3,L5,V1,M5} { X = sz00, xm = sz10, sdtlseqdt0( X
% 18.69/19.05 , sdtasdt0( xm, X ) ), ! aNaturalNumber0( X ), ! aNaturalNumber0( xm )
% 18.69/19.05 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 end
% 18.69/19.05 permutation0:
% 18.69/19.05 0 ==> 2
% 18.69/19.05 1 ==> 3
% 18.69/19.05 2 ==> 4
% 18.69/19.05 3 ==> 0
% 18.69/19.05 4 ==> 1
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31880) {G3,W7,D2,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0( Y ),
% 18.69/19.05 aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[2]: (3515) {G3,W7,D2,L3,V2,M3} F(3479);f;f;d(3287);r(31) { !
% 18.69/19.05 aNaturalNumber0( X ), aNaturalNumber0( Y ), ! Y = sz00 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31881) {G4,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X )
% 18.69/19.05 }.
% 18.69/19.05 parent0[1]: (31880) {G3,W7,D2,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0( Y
% 18.69/19.05 ), aNaturalNumber0( X ) }.
% 18.69/19.05 parent1[0]: (285) {G3,W6,D4,L1,V0,M1} R(228,165) { aNaturalNumber0(
% 18.69/19.05 sdtasdt0( xm, sdtasdt0( xm, xn ) ) ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := sdtasdt0( xm, sdtasdt0( xm, xn ) )
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31882) {G4,W5,D2,L2,V1,M2} { ! X = sz00, aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[0]: (31881) {G4,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X )
% 18.69/19.05 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 subsumption: (12672) {G4,W5,D2,L2,V1,M2} R(3515,285) { aNaturalNumber0( X )
% 18.69/19.05 , ! X = sz00 }.
% 18.69/19.05 parent0: (31882) {G4,W5,D2,L2,V1,M2} { ! X = sz00, aNaturalNumber0( X )
% 18.69/19.05 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 end
% 18.69/19.05 permutation0:
% 18.69/19.05 0 ==> 1
% 18.69/19.05 1 ==> 0
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31883) {G3,W7,D2,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0( Y ),
% 18.69/19.05 aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[2]: (3515) {G3,W7,D2,L3,V2,M3} F(3479);f;f;d(3287);r(31) { !
% 18.69/19.05 aNaturalNumber0( X ), aNaturalNumber0( Y ), ! Y = sz00 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31884) {G1,W12,D3,L4,V2,M4} { ! Y ==> sdtpldt0( X, Y ), !
% 18.69/19.05 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ) }.
% 18.69/19.05 parent0[2]: (89) {G1,W12,D3,L4,V2,M4} F(27) { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> Y, sdtlseqdt0( X, Y ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31885) {G2,W15,D3,L5,V3,M5} { ! X ==> sdtpldt0( Y, X ), !
% 18.69/19.05 aNaturalNumber0( X ), sdtlseqdt0( Y, X ), ! sz00 = Y, ! aNaturalNumber0(
% 18.69/19.05 Z ) }.
% 18.69/19.05 parent0[1]: (31884) {G1,W12,D3,L4,V2,M4} { ! Y ==> sdtpldt0( X, Y ), !
% 18.69/19.05 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ) }.
% 18.69/19.05 parent1[2]: (31883) {G3,W7,D2,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0( Y
% 18.69/19.05 ), aNaturalNumber0( X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := Z
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31891) {G2,W15,D3,L5,V3,M5} { ! X = sz00, ! Y ==> sdtpldt0( X, Y
% 18.69/19.05 ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z )
% 18.69/19.05 }.
% 18.69/19.05 parent0[3]: (31885) {G2,W15,D3,L5,V3,M5} { ! X ==> sdtpldt0( Y, X ), !
% 18.69/19.05 aNaturalNumber0( X ), sdtlseqdt0( Y, X ), ! sz00 = Y, ! aNaturalNumber0(
% 18.69/19.05 Z ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 Z := Z
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31892) {G2,W15,D3,L5,V3,M5} { ! sdtpldt0( Y, X ) ==> X, ! Y =
% 18.69/19.05 sz00, ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ), ! aNaturalNumber0( Z )
% 18.69/19.05 }.
% 18.69/19.05 parent0[1]: (31891) {G2,W15,D3,L5,V3,M5} { ! X = sz00, ! Y ==> sdtpldt0( X
% 18.69/19.05 , Y ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z )
% 18.69/19.05 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 Z := Z
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 subsumption: (12678) {G4,W15,D3,L5,V3,M5} R(3515,89) { ! aNaturalNumber0( X
% 18.69/19.05 ), ! Y = sz00, ! aNaturalNumber0( Z ), ! sdtpldt0( Y, Z ) ==> Z,
% 18.69/19.05 sdtlseqdt0( Y, Z ) }.
% 18.69/19.05 parent0: (31892) {G2,W15,D3,L5,V3,M5} { ! sdtpldt0( Y, X ) ==> X, ! Y =
% 18.69/19.05 sz00, ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ), ! aNaturalNumber0( Z )
% 18.69/19.05 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Z
% 18.69/19.05 Y := Y
% 18.69/19.05 Z := X
% 18.69/19.05 end
% 18.69/19.05 permutation0:
% 18.69/19.05 0 ==> 3
% 18.69/19.05 1 ==> 1
% 18.69/19.05 2 ==> 2
% 18.69/19.05 3 ==> 4
% 18.69/19.05 4 ==> 0
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31901) {G3,W7,D2,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0( Y ),
% 18.69/19.05 aNaturalNumber0( X ) }.
% 18.69/19.05 parent0[2]: (3515) {G3,W7,D2,L3,V2,M3} F(3479);f;f;d(3287);r(31) { !
% 18.69/19.05 aNaturalNumber0( X ), aNaturalNumber0( Y ), ! Y = sz00 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 resolution: (31905) {G1,W14,D3,L4,V3,M4} { ! aNaturalNumber0( Y ),
% 18.69/19.05 sdtpldt0( X, Y ) = sdtpldt0( Y, X ), ! sz00 = X, ! aNaturalNumber0( Z )
% 18.69/19.05 }.
% 18.69/19.05 parent0[0]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 18.69/19.05 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 18.69/19.05 parent1[2]: (31901) {G3,W7,D2,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0( Y
% 18.69/19.05 ), aNaturalNumber0( X ) }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Z
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31908) {G1,W12,D3,L3,V2,M3} { ! aNaturalNumber0( X ), sdtpldt0( Y
% 18.69/19.05 , X ) = sdtpldt0( X, Y ), ! sz00 = Y }.
% 18.69/19.05 parent0[0, 3]: (31905) {G1,W14,D3,L4,V3,M4} { ! aNaturalNumber0( Y ),
% 18.69/19.05 sdtpldt0( X, Y ) = sdtpldt0( Y, X ), ! sz00 = X, ! aNaturalNumber0( Z )
% 18.69/19.05 }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 Z := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 paramod: (31946) {G2,W15,D3,L5,V2,M5} { sdtpldt0( X, Y ) = Y, !
% 18.69/19.05 aNaturalNumber0( Y ), ! X = sz00, ! aNaturalNumber0( Y ), ! sz00 = X }.
% 18.69/19.05 parent0[1]: (3516) {G3,W10,D3,L3,V2,M3} F(3475);f;f;d(3287);r(31) { !
% 18.69/19.05 aNaturalNumber0( X ), sdtpldt0( X, Y ) ==> X, ! Y = sz00 }.
% 18.69/19.05 parent1[1; 4]: (31908) {G1,W12,D3,L3,V2,M3} { ! aNaturalNumber0( X ),
% 18.69/19.05 sdtpldt0( Y, X ) = sdtpldt0( X, Y ), ! sz00 = Y }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 end
% 18.69/19.05 substitution1:
% 18.69/19.05 X := Y
% 18.69/19.05 Y := X
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 eqswap: (31963) {G2,W15,D3,L5,V2,M5} { ! X = sz00, sdtpldt0( X, Y ) = Y, !
% 18.69/19.05 aNaturalNumber0( Y ), ! X = sz00, ! aNaturalNumber0( Y ) }.
% 18.69/19.05 parent0[4]: (31946) {G2,W15,D3,L5,V2,M5} { sdtpldt0( X, Y ) = Y, !
% 18.69/19.05 aNaturalNumber0( Y ), ! X = sz00, ! aNaturalNumber0( Y ), ! sz00 = X }.
% 18.69/19.05 substitution0:
% 18.69/19.05 X := X
% 18.69/19.05 Y := Y
% 18.69/19.05 end
% 18.69/19.05
% 18.69/19.05 factor: (31975) {G2,W12,D3,L4,V2,M4} { ! X = sz00, sdtpldt0( X, Y ) = Y, !
% 18.69/19.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 18.69/19.05 parent0[0, 3]: (31963) {G2,W15,D3,L5,V2,M5} { ! X = sz00, sdtpldt0( X, Y )
% 18.69/19.05 = Y, ! aNaturalNumber0( Y ), ! X = sz00, ! aNaturalNumber0( Y ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 subsumption: (12705) {G4,W12,D3,L4,V3,M4} R(3515,6);d(3516) { !
% 18.69/19.07 aNaturalNumber0( X ), ! Y = sz00, ! aNaturalNumber0( Z ), sdtpldt0( Y, Z
% 18.69/19.07 ) ==> Z }.
% 18.69/19.07 parent0: (31975) {G2,W12,D3,L4,V2,M4} { ! X = sz00, sdtpldt0( X, Y ) = Y,
% 18.69/19.07 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := Z
% 18.69/19.07 end
% 18.69/19.07 permutation0:
% 18.69/19.07 0 ==> 1
% 18.69/19.07 1 ==> 3
% 18.69/19.07 2 ==> 2
% 18.69/19.07 3 ==> 2
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (32012) {G4,W10,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! Y = sz00
% 18.69/19.07 , sdtpldt0( Y, X ) ==> X }.
% 18.69/19.07 parent0[0, 2]: (12705) {G4,W12,D3,L4,V3,M4} R(3515,6);d(3516) { !
% 18.69/19.07 aNaturalNumber0( X ), ! Y = sz00, ! aNaturalNumber0( Z ), sdtpldt0( Y, Z
% 18.69/19.07 ) ==> Z }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 subsumption: (12714) {G5,W10,D3,L3,V2,M3} F(12705) { ! aNaturalNumber0( X )
% 18.69/19.07 , ! Y = sz00, sdtpldt0( Y, X ) ==> X }.
% 18.69/19.07 parent0: (32012) {G4,W10,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! Y = sz00
% 18.69/19.07 , sdtpldt0( Y, X ) ==> X }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07 permutation0:
% 18.69/19.07 0 ==> 0
% 18.69/19.07 1 ==> 1
% 18.69/19.07 2 ==> 2
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (32019) {G5,W10,D3,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0( Y )
% 18.69/19.07 , sdtpldt0( X, Y ) ==> Y }.
% 18.69/19.07 parent0[1]: (12714) {G5,W10,D3,L3,V2,M3} F(12705) { ! aNaturalNumber0( X )
% 18.69/19.07 , ! Y = sz00, sdtpldt0( Y, X ) ==> X }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (32025) {G4,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! Y = sz00
% 18.69/19.07 , ! sdtpldt0( Y, X ) ==> X, sdtlseqdt0( Y, X ) }.
% 18.69/19.07 parent0[0, 2]: (12678) {G4,W15,D3,L5,V3,M5} R(3515,89) { ! aNaturalNumber0
% 18.69/19.07 ( X ), ! Y = sz00, ! aNaturalNumber0( Z ), ! sdtpldt0( Y, Z ) ==> Z,
% 18.69/19.07 sdtlseqdt0( Y, Z ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 paramod: (32026) {G5,W16,D2,L6,V2,M6} { ! Y ==> Y, ! sz00 = X, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! X = sz00, sdtlseqdt0( X,
% 18.69/19.07 Y ) }.
% 18.69/19.07 parent0[2]: (32019) {G5,W10,D3,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0(
% 18.69/19.07 Y ), sdtpldt0( X, Y ) ==> Y }.
% 18.69/19.07 parent1[2; 2]: (32025) {G4,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! Y
% 18.69/19.07 = sz00, ! sdtpldt0( Y, X ) ==> X, sdtlseqdt0( Y, X ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07 substitution1:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (32029) {G5,W14,D2,L5,V2,M5} { ! X ==> X, ! sz00 = Y, !
% 18.69/19.07 aNaturalNumber0( X ), ! Y = sz00, sdtlseqdt0( Y, X ) }.
% 18.69/19.07 parent0[2, 3]: (32026) {G5,W16,D2,L6,V2,M6} { ! Y ==> Y, ! sz00 = X, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! X = sz00, sdtlseqdt0( X,
% 18.69/19.07 Y ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqrefl: (32049) {G0,W11,D2,L4,V2,M4} { ! sz00 = Y, ! aNaturalNumber0( X )
% 18.69/19.07 , ! Y = sz00, sdtlseqdt0( Y, X ) }.
% 18.69/19.07 parent0[0]: (32029) {G5,W14,D2,L5,V2,M5} { ! X ==> X, ! sz00 = Y, !
% 18.69/19.07 aNaturalNumber0( X ), ! Y = sz00, sdtlseqdt0( Y, X ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (32050) {G0,W11,D2,L4,V2,M4} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.07 , ! X = sz00, sdtlseqdt0( X, Y ) }.
% 18.69/19.07 parent0[0]: (32049) {G0,W11,D2,L4,V2,M4} { ! sz00 = Y, ! aNaturalNumber0(
% 18.69/19.07 X ), ! Y = sz00, sdtlseqdt0( Y, X ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (32052) {G0,W8,D2,L3,V2,M3} { ! X = sz00, ! aNaturalNumber0( Y ),
% 18.69/19.07 sdtlseqdt0( X, Y ) }.
% 18.69/19.07 parent0[0, 2]: (32050) {G0,W11,D2,L4,V2,M4} { ! X = sz00, !
% 18.69/19.07 aNaturalNumber0( Y ), ! X = sz00, sdtlseqdt0( X, Y ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 subsumption: (12725) {G6,W8,D2,L3,V2,M3} F(12678);d(12714);q { !
% 18.69/19.07 aNaturalNumber0( X ), ! Y = sz00, sdtlseqdt0( Y, X ) }.
% 18.69/19.07 parent0: (32052) {G0,W8,D2,L3,V2,M3} { ! X = sz00, ! aNaturalNumber0( Y )
% 18.69/19.07 , sdtlseqdt0( X, Y ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := X
% 18.69/19.07 end
% 18.69/19.07 permutation0:
% 18.69/19.07 0 ==> 1
% 18.69/19.07 1 ==> 0
% 18.69/19.07 2 ==> 2
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (32054) {G4,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X ) }.
% 18.69/19.07 parent0[1]: (12672) {G4,W5,D2,L2,V1,M2} R(3515,285) { aNaturalNumber0( X )
% 18.69/19.07 , ! X = sz00 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (32055) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.07 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 18.69/19.07 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 18.69/19.07 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 18.69/19.07 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 18.69/19.07 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Z
% 18.69/19.07 Z := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (32058) {G5,W10,D3,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0( Y )
% 18.69/19.07 , sdtpldt0( X, Y ) ==> Y }.
% 18.69/19.07 parent0[1]: (12714) {G5,W10,D3,L3,V2,M3} F(12705) { ! aNaturalNumber0( X )
% 18.69/19.07 , ! Y = sz00, sdtpldt0( Y, X ) ==> X }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 resolution: (35076) {G1,W20,D3,L6,V3,M6} { ! X = sdtpldt0( Y, Z ), !
% 18.69/19.07 aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), ! aNaturalNumber0( Z ), Z =
% 18.69/19.07 sdtmndt0( X, Y ), ! sz00 = Y }.
% 18.69/19.07 parent0[1]: (32055) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 18.69/19.07 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 18.69/19.07 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 18.69/19.07 parent1[1]: (32054) {G4,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X )
% 18.69/19.07 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := Z
% 18.69/19.07 Z := X
% 18.69/19.07 end
% 18.69/19.07 substitution1:
% 18.69/19.07 X := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 paramod: (35497) {G2,W23,D3,L8,V3,M8} { ! X = Z, ! sz00 = Y, !
% 18.69/19.07 aNaturalNumber0( Z ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), !
% 18.69/19.07 aNaturalNumber0( Z ), Z = sdtmndt0( X, Y ), ! sz00 = Y }.
% 18.69/19.07 parent0[2]: (32058) {G5,W10,D3,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0(
% 18.69/19.07 Y ), sdtpldt0( X, Y ) ==> Y }.
% 18.69/19.07 parent1[0; 3]: (35076) {G1,W20,D3,L6,V3,M6} { ! X = sdtpldt0( Y, Z ), !
% 18.69/19.07 aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), ! aNaturalNumber0( Z ), Z =
% 18.69/19.07 sdtmndt0( X, Y ), ! sz00 = Y }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := Z
% 18.69/19.07 end
% 18.69/19.07 substitution1:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := Z
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (35499) {G2,W20,D3,L7,V3,M7} { ! X = Y, ! sz00 = Z, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Z, X ), !
% 18.69/19.07 aNaturalNumber0( Y ), Y = sdtmndt0( X, Z ) }.
% 18.69/19.07 parent0[1, 7]: (35497) {G2,W23,D3,L8,V3,M8} { ! X = Z, ! sz00 = Y, !
% 18.69/19.07 aNaturalNumber0( Z ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), !
% 18.69/19.07 aNaturalNumber0( Z ), Z = sdtmndt0( X, Y ), ! sz00 = Y }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Z
% 18.69/19.07 Z := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (35502) {G2,W18,D3,L6,V3,M6} { ! X = Y, ! sz00 = Z, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Z, X ), Y =
% 18.69/19.07 sdtmndt0( X, Z ) }.
% 18.69/19.07 parent0[2, 5]: (35499) {G2,W20,D3,L7,V3,M7} { ! X = Y, ! sz00 = Z, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Z, X ), !
% 18.69/19.07 aNaturalNumber0( Y ), Y = sdtmndt0( X, Z ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := Z
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 resolution: (35728) {G3,W20,D3,L7,V3,M7} { ! X = Y, ! sz00 = Z, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, Z ), !
% 18.69/19.07 aNaturalNumber0( X ), ! Z = sz00 }.
% 18.69/19.07 parent0[4]: (35502) {G2,W18,D3,L6,V3,M6} { ! X = Y, ! sz00 = Z, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Z, X ), Y =
% 18.69/19.07 sdtmndt0( X, Z ) }.
% 18.69/19.07 parent1[2]: (12725) {G6,W8,D2,L3,V2,M3} F(12678);d(12714);q { !
% 18.69/19.07 aNaturalNumber0( X ), ! Y = sz00, sdtlseqdt0( Y, X ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := Z
% 18.69/19.07 end
% 18.69/19.07 substitution1:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Z
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35731) {G3,W20,D3,L7,V3,M7} { sdtmndt0( Y, Z ) = X, ! Y = X, !
% 18.69/19.07 sz00 = Z, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), !
% 18.69/19.07 aNaturalNumber0( Y ), ! Z = sz00 }.
% 18.69/19.07 parent0[4]: (35728) {G3,W20,D3,L7,V3,M7} { ! X = Y, ! sz00 = Z, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, Z ), !
% 18.69/19.07 aNaturalNumber0( X ), ! Z = sz00 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := X
% 18.69/19.07 Z := Z
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35736) {G3,W20,D3,L7,V3,M7} { ! X = sz00, sdtmndt0( Y, X ) = Z, !
% 18.69/19.07 Y = Z, ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! aNaturalNumber0
% 18.69/19.07 ( Y ), ! X = sz00 }.
% 18.69/19.07 parent0[2]: (35731) {G3,W20,D3,L7,V3,M7} { sdtmndt0( Y, Z ) = X, ! Y = X,
% 18.69/19.07 ! sz00 = Z, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), !
% 18.69/19.07 aNaturalNumber0( Y ), ! Z = sz00 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Z
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35737) {G3,W20,D3,L7,V3,M7} { ! Y = X, ! Z = sz00, sdtmndt0( X, Z
% 18.69/19.07 ) = Y, ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0
% 18.69/19.07 ( X ), ! Z = sz00 }.
% 18.69/19.07 parent0[2]: (35736) {G3,W20,D3,L7,V3,M7} { ! X = sz00, sdtmndt0( Y, X ) =
% 18.69/19.07 Z, ! Y = Z, ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), !
% 18.69/19.07 aNaturalNumber0( Y ), ! X = sz00 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Z
% 18.69/19.07 Y := X
% 18.69/19.07 Z := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35738) {G3,W20,D3,L7,V3,M7} { Z = sdtmndt0( X, Y ), ! Z = X, ! Y
% 18.69/19.07 = sz00, ! aNaturalNumber0( Z ), ! aNaturalNumber0( X ), ! aNaturalNumber0
% 18.69/19.07 ( X ), ! Y = sz00 }.
% 18.69/19.07 parent0[2]: (35737) {G3,W20,D3,L7,V3,M7} { ! Y = X, ! Z = sz00, sdtmndt0(
% 18.69/19.07 X, Z ) = Y, ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 18.69/19.07 aNaturalNumber0( X ), ! Z = sz00 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Z
% 18.69/19.07 Z := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (35761) {G3,W17,D3,L6,V3,M6} { X = sdtmndt0( Y, Z ), ! X = Y, ! Z
% 18.69/19.07 = sz00, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0
% 18.69/19.07 ( Y ) }.
% 18.69/19.07 parent0[2, 6]: (35738) {G3,W20,D3,L7,V3,M7} { Z = sdtmndt0( X, Y ), ! Z =
% 18.69/19.07 X, ! Y = sz00, ! aNaturalNumber0( Z ), ! aNaturalNumber0( X ), !
% 18.69/19.07 aNaturalNumber0( X ), ! Y = sz00 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := Z
% 18.69/19.07 Z := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (35763) {G3,W15,D3,L5,V3,M5} { X = sdtmndt0( Y, Z ), ! X = Y, ! Z
% 18.69/19.07 = sz00, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.07 parent0[4, 5]: (35761) {G3,W17,D3,L6,V3,M6} { X = sdtmndt0( Y, Z ), ! X =
% 18.69/19.07 Y, ! Z = sz00, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), !
% 18.69/19.07 aNaturalNumber0( Y ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := Z
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 subsumption: (12747) {G7,W15,D3,L5,V3,M5} R(12672,30);d(12714);r(12725) { !
% 18.69/19.07 X = sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), Z = sdtmndt0(
% 18.69/19.07 Y, X ), ! Z = Y }.
% 18.69/19.07 parent0: (35763) {G3,W15,D3,L5,V3,M5} { X = sdtmndt0( Y, Z ), ! X = Y, ! Z
% 18.69/19.07 = sz00, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Z
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := X
% 18.69/19.07 end
% 18.69/19.07 permutation0:
% 18.69/19.07 0 ==> 3
% 18.69/19.07 1 ==> 4
% 18.69/19.07 2 ==> 0
% 18.69/19.07 3 ==> 2
% 18.69/19.07 4 ==> 1
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35802) {G4,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X ) }.
% 18.69/19.07 parent0[1]: (12672) {G4,W5,D2,L2,V1,M2} R(3515,285) { aNaturalNumber0( X )
% 18.69/19.07 , ! X = sz00 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35803) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( sz00, X ), !
% 18.69/19.07 aNaturalNumber0( X ) }.
% 18.69/19.07 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 18.69/19.07 sz00, X ) ==> X }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 resolution: (35805) {G1,W8,D3,L2,V1,M2} { X ==> sdtpldt0( sz00, X ), !
% 18.69/19.07 sz00 = X }.
% 18.69/19.07 parent0[1]: (35803) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( sz00, X ), !
% 18.69/19.07 aNaturalNumber0( X ) }.
% 18.69/19.07 parent1[1]: (35802) {G4,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X )
% 18.69/19.07 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07 substitution1:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35807) {G1,W8,D3,L2,V1,M2} { ! X = sz00, X ==> sdtpldt0( sz00, X
% 18.69/19.07 ) }.
% 18.69/19.07 parent0[1]: (35805) {G1,W8,D3,L2,V1,M2} { X ==> sdtpldt0( sz00, X ), !
% 18.69/19.07 sz00 = X }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35808) {G1,W8,D3,L2,V1,M2} { sdtpldt0( sz00, X ) ==> X, ! X =
% 18.69/19.07 sz00 }.
% 18.69/19.07 parent0[1]: (35807) {G1,W8,D3,L2,V1,M2} { ! X = sz00, X ==> sdtpldt0( sz00
% 18.69/19.07 , X ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 subsumption: (12770) {G5,W8,D3,L2,V1,M2} R(12672,9) { ! X = sz00, sdtpldt0
% 18.69/19.07 ( sz00, X ) ==> X }.
% 18.69/19.07 parent0: (35808) {G1,W8,D3,L2,V1,M2} { sdtpldt0( sz00, X ) ==> X, ! X =
% 18.69/19.07 sz00 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07 permutation0:
% 18.69/19.07 0 ==> 1
% 18.69/19.07 1 ==> 0
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35809) {G4,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X ) }.
% 18.69/19.07 parent0[1]: (12672) {G4,W5,D2,L2,V1,M2} R(3515,285) { aNaturalNumber0( X )
% 18.69/19.07 , ! X = sz00 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 resolution: (35810) {G1,W6,D2,L2,V1,M2} { sdtlseqdt0( X, X ), ! sz00 = X
% 18.69/19.07 }.
% 18.69/19.07 parent0[0]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 18.69/19.07 ( X, X ) }.
% 18.69/19.07 parent1[1]: (35809) {G4,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X )
% 18.69/19.07 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07 substitution1:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35811) {G1,W6,D2,L2,V1,M2} { ! X = sz00, sdtlseqdt0( X, X ) }.
% 18.69/19.07 parent0[1]: (35810) {G1,W6,D2,L2,V1,M2} { sdtlseqdt0( X, X ), ! sz00 = X
% 18.69/19.07 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 subsumption: (12774) {G5,W6,D2,L2,V1,M2} R(12672,31) { ! X = sz00,
% 18.69/19.07 sdtlseqdt0( X, X ) }.
% 18.69/19.07 parent0: (35811) {G1,W6,D2,L2,V1,M2} { ! X = sz00, sdtlseqdt0( X, X ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07 permutation0:
% 18.69/19.07 0 ==> 0
% 18.69/19.07 1 ==> 1
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35814) {G7,W15,D3,L5,V3,M5} { ! Y = X, ! Z = sz00, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), X = sdtmndt0( Y, Z ) }.
% 18.69/19.07 parent0[4]: (12747) {G7,W15,D3,L5,V3,M5} R(12672,30);d(12714);r(12725) { !
% 18.69/19.07 X = sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), Z = sdtmndt0( Y
% 18.69/19.07 , X ), ! Z = Y }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Z
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (35831) {G7,W13,D3,L4,V2,M4} { ! X = X, ! Y = sz00, !
% 18.69/19.07 aNaturalNumber0( X ), X = sdtmndt0( X, Y ) }.
% 18.69/19.07 parent0[2, 3]: (35814) {G7,W15,D3,L5,V3,M5} { ! Y = X, ! Z = sz00, !
% 18.69/19.07 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), X = sdtmndt0( Y, Z ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := X
% 18.69/19.07 Z := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqrefl: (35833) {G0,W10,D3,L3,V2,M3} { ! Y = sz00, ! aNaturalNumber0( X )
% 18.69/19.07 , X = sdtmndt0( X, Y ) }.
% 18.69/19.07 parent0[0]: (35831) {G7,W13,D3,L4,V2,M4} { ! X = X, ! Y = sz00, !
% 18.69/19.07 aNaturalNumber0( X ), X = sdtmndt0( X, Y ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35835) {G0,W10,D3,L3,V2,M3} { sdtmndt0( X, Y ) = X, ! Y = sz00, !
% 18.69/19.07 aNaturalNumber0( X ) }.
% 18.69/19.07 parent0[2]: (35833) {G0,W10,D3,L3,V2,M3} { ! Y = sz00, ! aNaturalNumber0(
% 18.69/19.07 X ), X = sdtmndt0( X, Y ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 subsumption: (12777) {G8,W10,D3,L3,V2,M3} F(12747);q { ! X = sz00, !
% 18.69/19.07 aNaturalNumber0( Y ), sdtmndt0( Y, X ) ==> Y }.
% 18.69/19.07 parent0: (35835) {G0,W10,D3,L3,V2,M3} { sdtmndt0( X, Y ) = X, ! Y = sz00,
% 18.69/19.07 ! aNaturalNumber0( X ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := X
% 18.69/19.07 end
% 18.69/19.07 permutation0:
% 18.69/19.07 0 ==> 2
% 18.69/19.07 1 ==> 0
% 18.69/19.07 2 ==> 1
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35837) {G5,W6,D2,L2,V1,M2} { ! sz00 = X, sdtlseqdt0( X, X ) }.
% 18.69/19.07 parent0[0]: (12774) {G5,W6,D2,L2,V1,M2} R(12672,31) { ! X = sz00,
% 18.69/19.07 sdtlseqdt0( X, X ) }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35838) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 18.69/19.07 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 18.69/19.07 sdtpldt0( Z, X ) = Y }.
% 18.69/19.07 parent0[3]: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 18.69/19.07 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 18.69/19.07 sdtpldt0( X, Z ) = Y }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Z
% 18.69/19.07 Y := Y
% 18.69/19.07 Z := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 eqswap: (35841) {G8,W10,D3,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0( Y )
% 18.69/19.07 , sdtmndt0( Y, X ) ==> Y }.
% 18.69/19.07 parent0[0]: (12777) {G8,W10,D3,L3,V2,M3} F(12747);q { ! X = sz00, !
% 18.69/19.07 aNaturalNumber0( Y ), sdtmndt0( Y, X ) ==> Y }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 resolution: (35845) {G1,W17,D3,L5,V2,M5} { ! sdtmndt0( X, X ) = Y, !
% 18.69/19.07 aNaturalNumber0( X ), ! aNaturalNumber0( X ), sdtpldt0( X, Y ) = X, !
% 18.69/19.07 sz00 = X }.
% 18.69/19.07 parent0[3]: (35838) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 18.69/19.07 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 18.69/19.07 sdtpldt0( Z, X ) = Y }.
% 18.69/19.07 parent1[1]: (35837) {G5,W6,D2,L2,V1,M2} { ! sz00 = X, sdtlseqdt0( X, X )
% 18.69/19.07 }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := Y
% 18.69/19.07 Y := X
% 18.69/19.07 Z := X
% 18.69/19.07 end
% 18.69/19.07 substitution1:
% 18.69/19.07 X := X
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 paramod: (35847) {G2,W20,D3,L7,V2,M7} { ! X = Y, ! sz00 = X, !
% 18.69/19.07 aNaturalNumber0( X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( X ),
% 18.69/19.07 sdtpldt0( X, Y ) = X, ! sz00 = X }.
% 18.69/19.07 parent0[2]: (35841) {G8,W10,D3,L3,V2,M3} { ! sz00 = X, ! aNaturalNumber0(
% 18.69/19.07 Y ), sdtmndt0( Y, X ) ==> Y }.
% 18.69/19.07 parent1[0; 2]: (35845) {G1,W17,D3,L5,V2,M5} { ! sdtmndt0( X, X ) = Y, !
% 18.69/19.07 aNaturalNumber0( X ), ! aNaturalNumber0( X ), sdtpldt0( X, Y ) = X, !
% 18.69/19.07 sz00 = X }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := X
% 18.69/19.07 end
% 18.69/19.07 substitution1:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (35849) {G2,W17,D3,L6,V2,M6} { ! X = Y, ! sz00 = X, !
% 18.69/19.07 aNaturalNumber0( X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( X ),
% 18.69/19.07 sdtpldt0( X, Y ) = X }.
% 18.69/19.07 parent0[1, 6]: (35847) {G2,W20,D3,L7,V2,M7} { ! X = Y, ! sz00 = X, !
% 18.69/19.07 aNaturalNumber0( X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( X ),
% 18.69/19.07 sdtpldt0( X, Y ) = X, ! sz00 = X }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (35851) {G2,W15,D3,L5,V2,M5} { ! X = Y, ! sz00 = X, !
% 18.69/19.07 aNaturalNumber0( X ), ! aNaturalNumber0( X ), sdtpldt0( X, Y ) = X }.
% 18.69/19.07 parent0[2, 3]: (35849) {G2,W17,D3,L6,V2,M6} { ! X = Y, ! sz00 = X, !
% 18.69/19.07 aNaturalNumber0( X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( X ),
% 18.69/19.07 sdtpldt0( X, Y ) = X }.
% 18.69/19.07 substitution0:
% 18.69/19.07 X := X
% 18.69/19.07 Y := Y
% 18.69/19.07 end
% 18.69/19.07
% 18.69/19.07 factor: (35853) {G2,W13,D3,L4,V2,M4} { ! X = Y, ! sz00 = X, !
% 18.69/19.07 aNaturalNumber0( X ), sdtpldt0( X, Y ) = X }.
% 18.69/19.07 parent0[2, 3]: (35851) {G2,W15,D3,L5,V2,M5} { ! X = Y, ! sCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------