TSTP Solution File: NUM459+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM459+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 06:22:28 EDT 2022
% Result : Theorem 25.04s 25.44s
% Output : Refutation 25.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM459+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jul 6 17:15:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 12.15/12.55 *** allocated 10000 integers for termspace/termends
% 12.15/12.55 *** allocated 10000 integers for clauses
% 12.15/12.55 *** allocated 10000 integers for justifications
% 12.15/12.55 Bliksem 1.12
% 12.15/12.55
% 12.15/12.55
% 12.15/12.55 Automatic Strategy Selection
% 12.15/12.55
% 12.15/12.55
% 12.15/12.55 Clauses:
% 12.15/12.55
% 12.15/12.55 { && }.
% 12.15/12.55 { aNaturalNumber0( sz00 ) }.
% 12.15/12.55 { aNaturalNumber0( sz10 ) }.
% 12.15/12.55 { ! sz10 = sz00 }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 12.15/12.55 ( X, Y ) ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 12.15/12.55 ( X, Y ) ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 12.15/12.55 sdtpldt0( Y, X ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 12.15/12.55 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 12.15/12.55 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 12.15/12.55 sdtasdt0( Y, X ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 12.15/12.55 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 12.15/12.55 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 12.15/12.55 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 12.15/12.55 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 12.15/12.55 , Z ) ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 12.15/12.55 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 12.15/12.55 , X ) ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 12.15/12.55 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 12.15/12.55 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 12.15/12.55 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 12.15/12.55 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 12.15/12.55 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 12.15/12.55 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 12.15/12.55 , X = sz00 }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 12.15/12.55 , Y = sz00 }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 12.15/12.55 , X = sz00, Y = sz00 }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 12.15/12.55 aNaturalNumber0( skol1( Z, T ) ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 12.15/12.55 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 12.15/12.55 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 12.15/12.55 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 12.15/12.55 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 12.15/12.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 12.15/12.55 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 12.15/12.55 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 12.15/12.55 { aNaturalNumber0( xm ) }.
% 12.15/12.55 { aNaturalNumber0( xn ) }.
% 12.15/12.55 { aNaturalNumber0( skol2 ) }.
% 12.15/12.55 { sdtpldt0( xm, skol2 ) = xn }.
% 12.15/12.55 { sdtlseqdt0( xm, xn ) }.
% 12.15/12.55 { aNaturalNumber0( skol3 ) }.
% 12.15/12.55 { sdtpldt0( xn, skol3 ) = xm }.
% 12.15/12.55 { sdtlseqdt0( xn, xm ) }.
% 12.15/12.55 { ! xm = xn }.
% 12.15/12.55
% 12.15/12.55 percentage equality = 0.336134, percentage horn = 0.926829
% 12.15/12.55 This is a problem with some equality
% 12.15/12.55
% 12.15/12.55
% 12.15/12.55
% 12.15/12.55 Options Used:
% 12.15/12.55
% 12.15/12.55 useres = 1
% 12.15/12.55 useparamod = 1
% 12.15/12.55 useeqrefl = 1
% 12.15/12.55 useeqfact = 1
% 12.15/12.55 usefactor = 1
% 12.15/12.55 usesimpsplitting = 0
% 12.15/12.55 usesimpdemod = 5
% 12.15/12.55 usesimpres = 3
% 12.15/12.55
% 12.15/12.55 resimpinuse = 1000
% 12.15/12.55 resimpclauses = 20000
% 12.15/12.55 substype = eqrewr
% 12.15/12.55 backwardsubs = 1
% 12.15/12.55 selectoldest = 5
% 12.15/12.55
% 12.15/12.55 litorderings [0] = split
% 12.15/12.55 litorderings [1] = extend the termordering, first sorting on arguments
% 12.15/12.55
% 12.15/12.55 termordering = kbo
% 12.15/12.55
% 12.15/12.55 litapriori = 0
% 12.15/12.55 termapriori = 1
% 12.15/12.55 litaposteriori = 0
% 12.15/12.55 termaposteriori = 0
% 12.15/12.55 demodaposteriori = 0
% 12.15/12.55 ordereqreflfact = 0
% 25.04/25.44
% 25.04/25.44 litselect = negord
% 25.04/25.44
% 25.04/25.44 maxweight = 15
% 25.04/25.44 maxdepth = 30000
% 25.04/25.44 maxlength = 115
% 25.04/25.44 maxnrvars = 195
% 25.04/25.44 excuselevel = 1
% 25.04/25.44 increasemaxweight = 1
% 25.04/25.44
% 25.04/25.44 maxselected = 10000000
% 25.04/25.44 maxnrclauses = 10000000
% 25.04/25.44
% 25.04/25.44 showgenerated = 0
% 25.04/25.44 showkept = 0
% 25.04/25.44 showselected = 0
% 25.04/25.44 showdeleted = 0
% 25.04/25.44 showresimp = 1
% 25.04/25.44 showstatus = 2000
% 25.04/25.44
% 25.04/25.44 prologoutput = 0
% 25.04/25.44 nrgoals = 5000000
% 25.04/25.44 totalproof = 1
% 25.04/25.44
% 25.04/25.44 Symbols occurring in the translation:
% 25.04/25.44
% 25.04/25.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 25.04/25.44 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 25.04/25.44 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 25.04/25.44 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 25.04/25.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 25.04/25.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 25.04/25.44 aNaturalNumber0 [36, 1] (w:1, o:20, a:1, s:1, b:0),
% 25.04/25.44 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 25.04/25.44 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 25.04/25.44 sdtpldt0 [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 25.04/25.44 sdtasdt0 [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 25.04/25.44 sdtlseqdt0 [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 25.04/25.44 sdtmndt0 [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 25.04/25.44 xm [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 25.04/25.44 xn [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 25.04/25.44 skol1 [47, 2] (w:1, o:49, a:1, s:1, b:1),
% 25.04/25.44 skol2 [48, 0] (w:1, o:13, a:1, s:1, b:1),
% 25.04/25.44 skol3 [49, 0] (w:1, o:14, a:1, s:1, b:1).
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Starting Search:
% 25.04/25.44
% 25.04/25.44 *** allocated 15000 integers for clauses
% 25.04/25.44 *** allocated 22500 integers for clauses
% 25.04/25.44 *** allocated 33750 integers for clauses
% 25.04/25.44 *** allocated 50625 integers for clauses
% 25.04/25.44 *** allocated 75937 integers for clauses
% 25.04/25.44 *** allocated 15000 integers for termspace/termends
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 22500 integers for termspace/termends
% 25.04/25.44 *** allocated 113905 integers for clauses
% 25.04/25.44 *** allocated 33750 integers for termspace/termends
% 25.04/25.44 *** allocated 170857 integers for clauses
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 12246
% 25.04/25.44 Kept: 2053
% 25.04/25.44 Inuse: 119
% 25.04/25.44 Deleted: 11
% 25.04/25.44 Deletedinuse: 6
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 50625 integers for termspace/termends
% 25.04/25.44 *** allocated 256285 integers for clauses
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 75937 integers for termspace/termends
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 25220
% 25.04/25.44 Kept: 4071
% 25.04/25.44 Inuse: 212
% 25.04/25.44 Deleted: 27
% 25.04/25.44 Deletedinuse: 17
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 384427 integers for clauses
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 113905 integers for termspace/termends
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 41436
% 25.04/25.44 Kept: 6100
% 25.04/25.44 Inuse: 267
% 25.04/25.44 Deleted: 30
% 25.04/25.44 Deletedinuse: 17
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 576640 integers for clauses
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 58630
% 25.04/25.44 Kept: 8249
% 25.04/25.44 Inuse: 320
% 25.04/25.44 Deleted: 34
% 25.04/25.44 Deletedinuse: 18
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 170857 integers for termspace/termends
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 864960 integers for clauses
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 73538
% 25.04/25.44 Kept: 11029
% 25.04/25.44 Inuse: 365
% 25.04/25.44 Deleted: 41
% 25.04/25.44 Deletedinuse: 20
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 256285 integers for termspace/termends
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 86950
% 25.04/25.44 Kept: 14194
% 25.04/25.44 Inuse: 400
% 25.04/25.44 Deleted: 41
% 25.04/25.44 Deletedinuse: 20
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 1297440 integers for clauses
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 93101
% 25.04/25.44 Kept: 17337
% 25.04/25.44 Inuse: 410
% 25.04/25.44 Deleted: 41
% 25.04/25.44 Deletedinuse: 20
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 384427 integers for termspace/termends
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 99490
% 25.04/25.44 Kept: 20664
% 25.04/25.44 Inuse: 420
% 25.04/25.44 Deleted: 41
% 25.04/25.44 Deletedinuse: 20
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying clauses:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 1946160 integers for clauses
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 109217
% 25.04/25.44 Kept: 22742
% 25.04/25.44 Inuse: 451
% 25.04/25.44 Deleted: 1072
% 25.04/25.44 Deletedinuse: 43
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 125746
% 25.04/25.44 Kept: 24919
% 25.04/25.44 Inuse: 502
% 25.04/25.44 Deleted: 1081
% 25.04/25.44 Deletedinuse: 48
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 134242
% 25.04/25.44 Kept: 26952
% 25.04/25.44 Inuse: 526
% 25.04/25.44 Deleted: 1082
% 25.04/25.44 Deletedinuse: 48
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 141164
% 25.04/25.44 Kept: 29188
% 25.04/25.44 Inuse: 552
% 25.04/25.44 Deleted: 1086
% 25.04/25.44 Deletedinuse: 48
% 25.04/25.44
% 25.04/25.44 *** allocated 576640 integers for termspace/termends
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 155376
% 25.04/25.44 Kept: 31282
% 25.04/25.44 Inuse: 585
% 25.04/25.44 Deleted: 1130
% 25.04/25.44 Deletedinuse: 81
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 *** allocated 2919240 integers for clauses
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 167617
% 25.04/25.44 Kept: 33307
% 25.04/25.44 Inuse: 609
% 25.04/25.44 Deleted: 1179
% 25.04/25.44 Deletedinuse: 125
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 178913
% 25.04/25.44 Kept: 35489
% 25.04/25.44 Inuse: 632
% 25.04/25.44 Deleted: 1183
% 25.04/25.44 Deletedinuse: 125
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 187979
% 25.04/25.44 Kept: 37569
% 25.04/25.44 Inuse: 648
% 25.04/25.44 Deleted: 1221
% 25.04/25.44 Deletedinuse: 125
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44
% 25.04/25.44 Intermediate Status:
% 25.04/25.44 Generated: 210003
% 25.04/25.44 Kept: 39574
% 25.04/25.44 Inuse: 682
% 25.04/25.44 Deleted: 1262
% 25.04/25.44 Deletedinuse: 125
% 25.04/25.44
% 25.04/25.44 Resimplifying inuse:
% 25.04/25.44 Done
% 25.04/25.44
% 25.04/25.44 Resimplifying clauses:
% 25.04/25.44
% 25.04/25.44 Bliksems!, er is een bewijs:
% 25.04/25.44 % SZS status Theorem
% 25.04/25.44 % SZS output start Refutation
% 25.04/25.44
% 25.04/25.44 (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 25.04/25.44 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 25.04/25.44 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 25.04/25.44 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.44 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 25.04/25.44 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.04/25.44 (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 25.04/25.44 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.04/25.44 (7) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 25.04/25.44 , ! aNaturalNumber0( Z ), sdtpldt0( X, sdtpldt0( Y, Z ) ) ==> sdtpldt0(
% 25.04/25.44 sdtpldt0( X, Y ), Z ) }.
% 25.04/25.44 (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) ==>
% 25.04/25.44 X }.
% 25.04/25.44 (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( sz00, X ) ==>
% 25.04/25.44 X }.
% 25.04/25.44 (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 25.04/25.44 ==> X }.
% 25.04/25.44 (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( sz10, X )
% 25.04/25.44 ==> X }.
% 25.04/25.44 (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( sz00, X )
% 25.04/25.44 ==> sz00 }.
% 25.04/25.44 (17) {G0,W19,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.44 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z, X )
% 25.04/25.44 ) ==> sdtasdt0( sdtpldt0( Y, Z ), X ) }.
% 25.04/25.44 (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.44 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 25.04/25.44 }.
% 25.04/25.44 (19) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.44 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 25.04/25.44 }.
% 25.04/25.44 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 25.04/25.44 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.04/25.44 sdtasdt0( X, Z ), Y = Z }.
% 25.04/25.44 (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.44 ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 25.04/25.44 (24) {G0,W15,D3,L5,V2,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.44 ), ! sdtasdt0( X, Y ) ==> sz00, X = sz00, Y = sz00 }.
% 25.04/25.44 (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.44 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 25.04/25.44 }.
% 25.04/25.44 (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.44 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 25.04/25.44 }.
% 25.04/25.44 (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.44 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 25.04/25.44 }.
% 25.04/25.44 (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.44 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 25.04/25.44 , Z = sdtmndt0( Y, X ) }.
% 25.04/25.44 (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.04/25.44 (33) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.04/25.44 (34) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 25.04/25.44 (35) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xm, skol2 ) ==> xn }.
% 25.04/25.44 (37) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 25.04/25.44 (38) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xn, skol3 ) ==> xm }.
% 25.04/25.44 (40) {G0,W3,D2,L1,V0,M1} I { ! xn ==> xm }.
% 25.04/25.44 (59) {G1,W14,D3,L4,V2,M4} F(18) { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 25.04/25.44 ( Y ), ! sdtpldt0( X, X ) = sdtpldt0( X, Y ), X = Y }.
% 25.04/25.44 (71) {G1,W8,D2,L3,V1,M3} E(24);d(15);q;r(1) { ! sz00 = X, ! aNaturalNumber0
% 25.04/25.44 ( X ), X = sz00 }.
% 25.04/25.44 (74) {G1,W12,D3,L4,V2,M4} F(27) { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 25.04/25.44 ( Y ), ! sdtpldt0( X, X ) = Y, sdtlseqdt0( X, Y ) }.
% 25.04/25.44 (76) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ), !
% 25.04/25.44 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 25.04/25.44 (87) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X ), ! sdtlseqdt0
% 25.04/25.44 ( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0( sdtpldt0( X, Y
% 25.04/25.44 ), X ) ==> Y }.
% 25.04/25.44 (88) {G2,W9,D4,L2,V1,M2} F(87);r(76) { ! aNaturalNumber0( X ), sdtmndt0(
% 25.04/25.45 sdtpldt0( X, X ), X ) ==> X }.
% 25.04/25.45 (98) {G1,W6,D3,L2,V1,M2} R(4,2) { ! aNaturalNumber0( X ), aNaturalNumber0(
% 25.04/25.45 sdtpldt0( sz10, X ) ) }.
% 25.04/25.45 (101) {G1,W6,D3,L2,V1,M2} R(4,32) { ! aNaturalNumber0( X ), aNaturalNumber0
% 25.04/25.45 ( sdtpldt0( X, xm ) ) }.
% 25.04/25.45 (105) {G1,W6,D3,L2,V1,M2} R(4,34) { ! aNaturalNumber0( X ), aNaturalNumber0
% 25.04/25.45 ( sdtpldt0( X, skol2 ) ) }.
% 25.04/25.45 (107) {G1,W6,D3,L2,V1,M2} R(4,37) { ! aNaturalNumber0( X ), aNaturalNumber0
% 25.04/25.45 ( sdtpldt0( X, skol3 ) ) }.
% 25.04/25.45 (119) {G1,W6,D3,L2,V1,M2} R(5,32) { ! aNaturalNumber0( X ), aNaturalNumber0
% 25.04/25.45 ( sdtasdt0( xm, X ) ) }.
% 25.04/25.45 (120) {G1,W6,D3,L2,V1,M2} R(5,32) { ! aNaturalNumber0( X ), aNaturalNumber0
% 25.04/25.45 ( sdtasdt0( X, xm ) ) }.
% 25.04/25.45 (167) {G2,W4,D3,L1,V0,M1} R(119,2) { aNaturalNumber0( sdtasdt0( xm, sz10 )
% 25.04/25.45 ) }.
% 25.04/25.45 (188) {G1,W7,D3,L2,V0,M2} P(6,35);r(32) { sdtpldt0( skol2, xm ) ==> xn, !
% 25.04/25.45 aNaturalNumber0( skol2 ) }.
% 25.04/25.45 (189) {G1,W7,D3,L2,V0,M2} P(6,38);r(33) { sdtpldt0( skol3, xn ) ==> xm, !
% 25.04/25.45 aNaturalNumber0( skol3 ) }.
% 25.04/25.45 (245) {G1,W15,D4,L3,V2,M3} R(7,37) { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtpldt0( skol3, sdtpldt0( X, Y ) ) ==> sdtpldt0(
% 25.04/25.45 sdtpldt0( skol3, X ), Y ) }.
% 25.04/25.45 (335) {G1,W5,D3,L1,V0,M1} R(8,32) { sdtpldt0( xm, sz00 ) ==> xm }.
% 25.04/25.45 (395) {G1,W5,D3,L1,V0,M1} R(9,37) { sdtpldt0( sz00, skol3 ) ==> skol3 }.
% 25.04/25.45 (520) {G1,W5,D3,L1,V0,M1} R(12,32) { sdtasdt0( xm, sz10 ) ==> xm }.
% 25.04/25.45 (579) {G3,W5,D3,L1,V0,M1} R(13,167);d(520) { sdtasdt0( sz10, xm ) ==> xm
% 25.04/25.45 }.
% 25.04/25.45 (711) {G4,W15,D4,L3,V1,M3} P(579,17);r(32) { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( sz10 ), sdtasdt0( sdtpldt0( X, sz10 ), xm ) ==> sdtpldt0
% 25.04/25.45 ( sdtasdt0( X, xm ), xm ) }.
% 25.04/25.45 (714) {G5,W9,D4,L1,V0,M1} F(711);d(579);r(2) { sdtasdt0( sdtpldt0( sz10,
% 25.04/25.45 sz10 ), xm ) ==> sdtpldt0( xm, xm ) }.
% 25.04/25.45 (1170) {G1,W17,D3,L5,V2,M5} R(20,34) { ! aNaturalNumber0( X ), X = sz00, !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtasdt0( X, skol2 ) = sdtasdt0( X, Y ), skol2 =
% 25.04/25.45 Y }.
% 25.04/25.45 (1254) {G2,W15,D3,L4,V1,M4} E(1170);f { ! skol2 ==> sz00, ! aNaturalNumber0
% 25.04/25.45 ( X ), X = sz00, ! sdtasdt0( X, skol2 ) = sdtasdt0( X, X ) }.
% 25.04/25.45 (1257) {G3,W6,D2,L2,V0,M2} Q(1254);r(34) { ! skol2 ==> sz00, skol2 ==> sz00
% 25.04/25.45 }.
% 25.04/25.45 (1605) {G4,W6,D2,L2,V0,M2} P(1257,35);d(335) { ! skol2 ==> sz00, xn ==> xm
% 25.04/25.45 }.
% 25.04/25.45 (1606) {G5,W3,D2,L1,V0,M1} S(1605);r(40) { ! skol2 ==> sz00 }.
% 25.04/25.45 (1739) {G6,W7,D3,L2,V1,M2} P(23,1606);q;r(34) { ! aNaturalNumber0( X ), !
% 25.04/25.45 sdtpldt0( X, skol2 ) ==> sz00 }.
% 25.04/25.45 (2039) {G2,W4,D3,L1,V0,M1} R(98,2) { aNaturalNumber0( sdtpldt0( sz10, sz10
% 25.04/25.45 ) ) }.
% 25.04/25.45 (2068) {G6,W4,D3,L1,V0,M1} R(2039,120);d(714) { aNaturalNumber0( sdtpldt0(
% 25.04/25.45 xm, xm ) ) }.
% 25.04/25.45 (2252) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 25.04/25.45 (2305) {G2,W5,D2,L2,V1,M2} F(2252);q { ! aNaturalNumber0( X ), sdtlseqdt0(
% 25.04/25.45 sz00, X ) }.
% 25.04/25.45 (3054) {G3,W12,D3,L4,V2,M4} R(2305,30);f;d(9);r(1) { ! aNaturalNumber0( X )
% 25.04/25.45 , ! aNaturalNumber0( Y ), Y = sdtmndt0( X, sz00 ), ! Y = X }.
% 25.04/25.45 (3102) {G3,W3,D2,L1,V0,M1} R(2305,32) { sdtlseqdt0( sz00, xm ) }.
% 25.04/25.45 (3118) {G4,W7,D3,L2,V1,M2} F(3054);q { ! aNaturalNumber0( X ), sdtmndt0( X
% 25.04/25.45 , sz00 ) ==> X }.
% 25.04/25.45 (3128) {G5,W10,D3,L3,V1,M3} R(3102,29);d(3118);r(1) { ! aNaturalNumber0( xm
% 25.04/25.45 ), sdtpldt0( sz00, X ) ==> xm, ! X = xm }.
% 25.04/25.45 (4606) {G2,W4,D3,L1,V0,M1} R(105,37) { aNaturalNumber0( sdtpldt0( skol3,
% 25.04/25.45 skol2 ) ) }.
% 25.04/25.45 (4616) {G3,W6,D4,L1,V0,M1} R(4606,101) { aNaturalNumber0( sdtpldt0(
% 25.04/25.45 sdtpldt0( skol3, skol2 ), xm ) ) }.
% 25.04/25.45 (4889) {G2,W12,D3,L4,V2,M4} P(59,9);d(8);d(9);r(1) { ! aNaturalNumber0( Y )
% 25.04/25.45 , sdtpldt0( X, Y ) ==> Y, ! aNaturalNumber0( X ), ! sz00 = X }.
% 25.04/25.45 (4997) {G3,W6,D4,L1,V0,M1} R(107,4606) { aNaturalNumber0( sdtpldt0(
% 25.04/25.45 sdtpldt0( skol3, skol2 ), skol3 ) ) }.
% 25.04/25.45 (6725) {G3,W10,D3,L2,V0,M2} R(71,4606) { ! sdtpldt0( skol3, skol2 ) ==>
% 25.04/25.45 sz00, sdtpldt0( skol3, skol2 ) ==> sz00 }.
% 25.04/25.45 (6774) {G7,W7,D3,L2,V0,M2} P(71,4997);d(395);d(6725);r(1739) { ! sdtpldt0(
% 25.04/25.45 skol3, skol2 ) ==> sz00, ! aNaturalNumber0( sz00 ) }.
% 25.04/25.45 (7145) {G2,W10,D3,L3,V1,M3} R(74,32) { ! aNaturalNumber0( X ), ! sdtpldt0(
% 25.04/25.45 xm, xm ) = X, sdtlseqdt0( xm, X ) }.
% 25.04/25.45 (7152) {G7,W5,D3,L1,V0,M1} Q(7145);r(2068) { sdtlseqdt0( xm, sdtpldt0( xm,
% 25.04/25.45 xm ) ) }.
% 25.04/25.45 (7159) {G8,W9,D3,L3,V1,M3} R(7152,28);d(88);r(32) { ! aNaturalNumber0(
% 25.04/25.45 sdtpldt0( xm, xm ) ), aNaturalNumber0( X ), ! X = xm }.
% 25.04/25.45 (20674) {G9,W5,D2,L2,V1,M2} S(7159);r(2068) { aNaturalNumber0( X ), ! X =
% 25.04/25.45 xm }.
% 25.04/25.45 (20683) {G8,W5,D3,L1,V0,M1} S(6774);r(1) { ! sdtpldt0( skol3, skol2 ) ==>
% 25.04/25.45 sz00 }.
% 25.04/25.45 (20821) {G6,W8,D3,L2,V1,M2} S(3128);r(32) { sdtpldt0( sz00, X ) ==> xm, ! X
% 25.04/25.45 = xm }.
% 25.04/25.45 (20942) {G2,W5,D3,L1,V0,M1} S(188);r(34) { sdtpldt0( skol2, xm ) ==> xn }.
% 25.04/25.45 (20943) {G2,W5,D3,L1,V0,M1} S(189);r(37) { sdtpldt0( skol3, xn ) ==> xm }.
% 25.04/25.45 (21366) {G10,W6,D2,L2,V1,M2} R(20674,9);d(20821) { ! X = xm, xm = X }.
% 25.04/25.45 (21954) {G9,W14,D4,L4,V2,M4} P(19,20683);d(4889);r(4606) { ! X = sz00, !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtpldt0( sdtpldt0( skol3
% 25.04/25.45 , skol2 ), Y ) ==> Y }.
% 25.04/25.45 (21959) {G10,W9,D4,L2,V1,M2} Q(21954);r(1) { ! aNaturalNumber0( X ), !
% 25.04/25.45 sdtpldt0( sdtpldt0( skol3, skol2 ), X ) ==> X }.
% 25.04/25.45 (23074) {G11,W7,D4,L1,V0,M1} P(21366,4616);r(21959) { ! sdtpldt0( sdtpldt0
% 25.04/25.45 ( skol3, skol2 ), xm ) ==> xm }.
% 25.04/25.45 (40784) {G3,W9,D4,L2,V0,M2} P(20942,245);d(20943);r(34) { ! aNaturalNumber0
% 25.04/25.45 ( xm ), sdtpldt0( sdtpldt0( skol3, skol2 ), xm ) ==> xm }.
% 25.04/25.45 (40981) {G12,W0,D0,L0,V0,M0} S(40784);r(32);r(23074) { }.
% 25.04/25.45
% 25.04/25.45
% 25.04/25.45 % SZS output end Refutation
% 25.04/25.45 found a proof!
% 25.04/25.45
% 25.04/25.45
% 25.04/25.45 Unprocessed initial clauses:
% 25.04/25.45
% 25.04/25.45 (40983) {G0,W1,D1,L1,V0,M1} { && }.
% 25.04/25.45 (40984) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 25.04/25.45 (40985) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 25.04/25.45 (40986) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 25.04/25.45 (40987) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.45 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.45 (40988) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.45 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.04/25.45 (40989) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.04/25.45 (40990) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 25.04/25.45 X, sdtpldt0( Y, Z ) ) }.
% 25.04/25.45 (40991) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 25.04/25.45 = X }.
% 25.04/25.45 (40992) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 25.04/25.45 X ) }.
% 25.04/25.45 (40993) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 25.04/25.45 (40994) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 25.04/25.45 X, sdtasdt0( Y, Z ) ) }.
% 25.04/25.45 (40995) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 25.04/25.45 = X }.
% 25.04/25.45 (40996) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 25.04/25.45 X ) }.
% 25.04/25.45 (40997) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 25.04/25.45 = sz00 }.
% 25.04/25.45 (40998) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 25.04/25.45 sz00, X ) }.
% 25.04/25.45 (40999) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 25.04/25.45 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 25.04/25.45 (41000) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 25.04/25.45 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 25.04/25.45 (41001) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 25.04/25.45 }.
% 25.04/25.45 (41002) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 25.04/25.45 }.
% 25.04/25.45 (41003) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.04/25.45 sdtasdt0( X, Z ), Y = Z }.
% 25.04/25.45 (41004) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 25.04/25.45 sdtasdt0( Z, X ), Y = Z }.
% 25.04/25.45 (41005) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 25.04/25.45 (41006) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 25.04/25.45 (41007) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 25.04/25.45 (41008) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 25.04/25.45 (41009) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 25.04/25.45 (41010) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 25.04/25.45 }.
% 25.04/25.45 (41011) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 25.04/25.45 }.
% 25.04/25.45 (41012) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 25.04/25.45 }.
% 25.04/25.45 (41013) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.04/25.45 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 25.04/25.45 , Z = sdtmndt0( Y, X ) }.
% 25.04/25.45 (41014) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 25.04/25.45 }.
% 25.04/25.45 (41015) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 25.04/25.45 (41016) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 25.04/25.45 (41017) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol2 ) }.
% 25.04/25.45 (41018) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol2 ) = xn }.
% 25.04/25.45 (41019) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xn ) }.
% 25.04/25.45 (41020) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 25.04/25.45 (41021) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol3 ) = xm }.
% 25.04/25.45 (41022) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xm ) }.
% 25.04/25.45 (41023) {G0,W3,D2,L1,V0,M1} { ! xm = xn }.
% 25.04/25.45
% 25.04/25.45
% 25.04/25.45 Total Proof:
% 25.04/25.45
% 25.04/25.45 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 25.04/25.45 parent0: (40984) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 25.04/25.45 parent0: (40985) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.45 parent0: (40987) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.04/25.45 parent0: (40988) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.04/25.45 parent0: (40989) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (41037) {G0,W17,D4,L4,V3,M4} { sdtpldt0( X, sdtpldt0( Y, Z ) ) =
% 25.04/25.45 sdtpldt0( sdtpldt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.04/25.45 parent0[3]: (40990) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y )
% 25.04/25.45 , Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := Z
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (7) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( X, sdtpldt0( Y, Z
% 25.04/25.45 ) ) ==> sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 25.04/25.45 parent0: (41037) {G0,W17,D4,L4,V3,M4} { sdtpldt0( X, sdtpldt0( Y, Z ) ) =
% 25.04/25.45 sdtpldt0( sdtpldt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := Z
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 3
% 25.04/25.45 1 ==> 0
% 25.04/25.45 2 ==> 1
% 25.04/25.45 3 ==> 2
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 25.04/25.45 X, sz00 ) ==> X }.
% 25.04/25.45 parent0: (40991) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X
% 25.04/25.45 , sz00 ) = X }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (41074) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 parent0[1]: (40992) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 25.04/25.45 sdtpldt0( sz00, X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 25.04/25.45 sz00, X ) ==> X }.
% 25.04/25.45 parent0: (41074) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 1
% 25.04/25.45 1 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 25.04/25.45 ( X, sz10 ) ==> X }.
% 25.04/25.45 parent0: (40995) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X
% 25.04/25.45 , sz10 ) = X }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (41127) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 parent0[1]: (40996) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 25.04/25.45 sdtasdt0( sz10, X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 25.04/25.45 ( sz10, X ) ==> X }.
% 25.04/25.45 parent0: (41127) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 1
% 25.04/25.45 1 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (41156) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 parent0[1]: (40998) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 =
% 25.04/25.45 sdtasdt0( sz00, X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 25.04/25.45 ( sz00, X ) ==> sz00 }.
% 25.04/25.45 parent0: (41156) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 1
% 25.04/25.45 1 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (41195) {G0,W19,D4,L4,V3,M4} { sdtpldt0( sdtasdt0( X, Z ),
% 25.04/25.45 sdtasdt0( Y, Z ) ) = sdtasdt0( sdtpldt0( X, Y ), Z ), ! aNaturalNumber0(
% 25.04/25.45 Z ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 25.04/25.45 parent0[3]: (41000) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z )
% 25.04/25.45 , X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := Z
% 25.04/25.45 Y := X
% 25.04/25.45 Z := Y
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (17) {G0,W19,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtasdt0( Y, X )
% 25.04/25.45 , sdtasdt0( Z, X ) ) ==> sdtasdt0( sdtpldt0( Y, Z ), X ) }.
% 25.04/25.45 parent0: (41195) {G0,W19,D4,L4,V3,M4} { sdtpldt0( sdtasdt0( X, Z ),
% 25.04/25.45 sdtasdt0( Y, Z ) ) = sdtasdt0( sdtpldt0( X, Y ), Z ), ! aNaturalNumber0(
% 25.04/25.45 Z ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := Y
% 25.04/25.45 Y := Z
% 25.04/25.45 Z := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 3
% 25.04/25.45 1 ==> 0
% 25.04/25.45 2 ==> 1
% 25.04/25.45 3 ==> 2
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 25.04/25.45 sdtpldt0( X, Z ), Y = Z }.
% 25.04/25.45 parent0: (41001) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 25.04/25.45 sdtpldt0( X, Z ), Y = Z }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := Z
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 4 ==> 4
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (19) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) =
% 25.04/25.45 sdtpldt0( Z, X ), Y = Z }.
% 25.04/25.45 parent0: (41002) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) =
% 25.04/25.45 sdtpldt0( Z, X ), Y = Z }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := Z
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 4 ==> 4
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 25.04/25.45 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.04/25.45 sdtasdt0( X, Z ), Y = Z }.
% 25.04/25.45 parent0: (41003) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00,
% 25.04/25.45 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.04/25.45 sdtasdt0( X, Z ), Y = Z }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := Z
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 4 ==> 4
% 25.04/25.45 5 ==> 5
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 25.04/25.45 parent0: (41006) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (24) {G0,W15,D3,L5,V2,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) ==> sz00, X = sz00, Y = sz00 }.
% 25.04/25.45 parent0: (41007) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 4 ==> 4
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 25.04/25.45 sdtlseqdt0( X, Y ) }.
% 25.04/25.45 parent0: (41010) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 25.04/25.45 sdtlseqdt0( X, Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := Z
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 4 ==> 4
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 25.04/25.45 aNaturalNumber0( Z ) }.
% 25.04/25.45 parent0: (41011) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 25.04/25.45 aNaturalNumber0( Z ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := Z
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 4 ==> 4
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 25.04/25.45 sdtpldt0( X, Z ) = Y }.
% 25.04/25.45 parent0: (41012) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 25.04/25.45 sdtpldt0( X, Z ) = Y }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := Z
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 4 ==> 4
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 25.04/25.45 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 25.04/25.45 parent0: (41013) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 25.04/25.45 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := Z
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 4 ==> 4
% 25.04/25.45 5 ==> 5
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.04/25.45 parent0: (41015) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (33) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.04/25.45 parent0: (41016) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (34) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 25.04/25.45 parent0: (41017) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol2 ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (35) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xm, skol2 ) ==> xn }.
% 25.04/25.45 parent0: (41018) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol2 ) = xn }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (37) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 25.04/25.45 parent0: (41020) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (38) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xn, skol3 ) ==> xm }.
% 25.04/25.45 parent0: (41021) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol3 ) = xm }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (43628) {G0,W3,D2,L1,V0,M1} { ! xn = xm }.
% 25.04/25.45 parent0[0]: (41023) {G0,W3,D2,L1,V0,M1} { ! xm = xn }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (40) {G0,W3,D2,L1,V0,M1} I { ! xn ==> xm }.
% 25.04/25.45 parent0: (43628) {G0,W3,D2,L1,V0,M1} { ! xn = xm }.
% 25.04/25.45 substitution0:
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43630) {G0,W14,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = sdtpldt0( X, Y ), X = Y }.
% 25.04/25.45 parent0[0, 1]: (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 25.04/25.45 sdtpldt0( X, Z ), Y = Z }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := X
% 25.04/25.45 Z := Y
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (59) {G1,W14,D3,L4,V2,M4} F(18) { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = sdtpldt0( X, Y ), X = Y }.
% 25.04/25.45 parent0: (43630) {G0,W14,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = sdtpldt0( X, Y ), X = Y }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (43638) {G0,W15,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( Y ), !
% 25.04/25.45 aNaturalNumber0( X ), ! sdtasdt0( Y, X ) ==> sz00, Y = sz00 }.
% 25.04/25.45 parent0[4]: (24) {G0,W15,D3,L5,V2,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) ==> sz00, X = sz00, Y = sz00 }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := Y
% 25.04/25.45 Y := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (43639) {G0,W15,D3,L5,V2,M5} { ! sz00 ==> sdtasdt0( X, Y ), sz00 =
% 25.04/25.45 Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 25.04/25.45 parent0[3]: (43638) {G0,W15,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( Y
% 25.04/25.45 ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) ==> sz00, Y = sz00 }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := Y
% 25.04/25.45 Y := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqfact: (43667) {G0,W15,D3,L5,V1,M5} { ! sz00 = X, ! sz00 ==> sdtasdt0(
% 25.04/25.45 sz00, X ), sz00 = X, ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X )
% 25.04/25.45 }.
% 25.04/25.45 parent0[4, 1]: (43639) {G0,W15,D3,L5,V2,M5} { ! sz00 ==> sdtasdt0( X, Y )
% 25.04/25.45 , sz00 = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := sz00
% 25.04/25.45 Y := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 paramod: (43715) {G1,W15,D2,L6,V1,M6} { ! sz00 ==> sz00, ! aNaturalNumber0
% 25.04/25.45 ( X ), ! sz00 = X, sz00 = X, ! aNaturalNumber0( sz00 ), ! aNaturalNumber0
% 25.04/25.45 ( X ) }.
% 25.04/25.45 parent0[1]: (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 25.04/25.45 sz00, X ) ==> sz00 }.
% 25.04/25.45 parent1[1; 3]: (43667) {G0,W15,D3,L5,V1,M5} { ! sz00 = X, ! sz00 ==>
% 25.04/25.45 sdtasdt0( sz00, X ), sz00 = X, ! aNaturalNumber0( sz00 ), !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 substitution1:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43717) {G1,W13,D2,L5,V1,M5} { ! sz00 ==> sz00, ! aNaturalNumber0
% 25.04/25.45 ( X ), ! sz00 = X, sz00 = X, ! aNaturalNumber0( sz00 ) }.
% 25.04/25.45 parent0[1, 5]: (43715) {G1,W15,D2,L6,V1,M6} { ! sz00 ==> sz00, !
% 25.04/25.45 aNaturalNumber0( X ), ! sz00 = X, sz00 = X, ! aNaturalNumber0( sz00 ), !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqrefl: (43733) {G0,W10,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! sz00 = X
% 25.04/25.45 , sz00 = X, ! aNaturalNumber0( sz00 ) }.
% 25.04/25.45 parent0[0]: (43717) {G1,W13,D2,L5,V1,M5} { ! sz00 ==> sz00, !
% 25.04/25.45 aNaturalNumber0( X ), ! sz00 = X, sz00 = X, ! aNaturalNumber0( sz00 ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 resolution: (43736) {G1,W8,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! sz00 =
% 25.04/25.45 X, sz00 = X }.
% 25.04/25.45 parent0[3]: (43733) {G0,W10,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! sz00
% 25.04/25.45 = X, sz00 = X, ! aNaturalNumber0( sz00 ) }.
% 25.04/25.45 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 substitution1:
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (43738) {G1,W8,D2,L3,V1,M3} { X = sz00, ! aNaturalNumber0( X ), !
% 25.04/25.45 sz00 = X }.
% 25.04/25.45 parent0[2]: (43736) {G1,W8,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! sz00 =
% 25.04/25.45 X, sz00 = X }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (71) {G1,W8,D2,L3,V1,M3} E(24);d(15);q;r(1) { ! sz00 = X, !
% 25.04/25.45 aNaturalNumber0( X ), X = sz00 }.
% 25.04/25.45 parent0: (43738) {G1,W8,D2,L3,V1,M3} { X = sz00, ! aNaturalNumber0( X ), !
% 25.04/25.45 sz00 = X }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 2
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 0
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43742) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = Y, sdtlseqdt0( X, Y ) }.
% 25.04/25.45 parent0[0, 2]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 25.04/25.45 sdtlseqdt0( X, Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (74) {G1,W12,D3,L4,V2,M4} F(27) { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = Y, sdtlseqdt0( X, Y ) }.
% 25.04/25.45 parent0: (43742) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = Y, sdtlseqdt0( X, Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 3 ==> 3
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (43749) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 25.04/25.45 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 25.04/25.45 sdtlseqdt0( X, Z ) }.
% 25.04/25.45 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 25.04/25.45 sdtlseqdt0( X, Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Z
% 25.04/25.45 Z := Y
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqrefl: (43750) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 25.04/25.45 X, sdtpldt0( X, Y ) ) }.
% 25.04/25.45 parent0[0]: (43749) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 25.04/25.45 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 25.04/25.45 sdtlseqdt0( X, Z ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := sdtpldt0( X, Y )
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 resolution: (43755) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 25.04/25.45 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 25.04/25.45 parent0[1]: (43750) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 25.04/25.45 X, sdtpldt0( X, Y ) ) }.
% 25.04/25.45 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 substitution1:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43757) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 25.04/25.45 aNaturalNumber0( Y ) }.
% 25.04/25.45 parent0[0, 3]: (43755) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 25.04/25.45 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43759) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 25.04/25.45 parent0[1, 3]: (43757) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 25.04/25.45 aNaturalNumber0( Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (76) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ),
% 25.04/25.45 ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 25.04/25.45 parent0: (43759) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 2 ==> 2
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (43761) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 25.04/25.45 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 25.04/25.45 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 25.04/25.45 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 25.04/25.45 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Z
% 25.04/25.45 Z := Y
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqrefl: (43764) {G0,W20,D4,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, Y ) ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) )
% 25.04/25.45 , ! aNaturalNumber0( Y ), Y = sdtmndt0( sdtpldt0( X, Y ), X ) }.
% 25.04/25.45 parent0[0]: (43761) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 25.04/25.45 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 25.04/25.45 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 Z := sdtpldt0( X, Y )
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 resolution: (43772) {G1,W20,D4,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 25.04/25.45 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), Y = sdtmndt0(
% 25.04/25.45 sdtpldt0( X, Y ), X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 25.04/25.45 parent0[1]: (43764) {G0,W20,D4,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, Y ) ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) )
% 25.04/25.45 , ! aNaturalNumber0( Y ), Y = sdtmndt0( sdtpldt0( X, Y ), X ) }.
% 25.04/25.45 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 substitution1:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 eqswap: (43773) {G1,W20,D4,L6,V2,M6} { sdtmndt0( sdtpldt0( Y, X ), Y ) = X
% 25.04/25.45 , ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, sdtpldt0( Y, X ) ), !
% 25.04/25.45 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 25.04/25.45 parent0[3]: (43772) {G1,W20,D4,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 25.04/25.45 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), Y = sdtmndt0(
% 25.04/25.45 sdtpldt0( X, Y ), X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := Y
% 25.04/25.45 Y := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43775) {G1,W18,D4,L5,V2,M5} { sdtmndt0( sdtpldt0( X, Y ), X ) = Y
% 25.04/25.45 , ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 25.04/25.45 parent0[1, 4]: (43773) {G1,W20,D4,L6,V2,M6} { sdtmndt0( sdtpldt0( Y, X ),
% 25.04/25.45 Y ) = X, ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, sdtpldt0( Y, X ) ), !
% 25.04/25.45 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := Y
% 25.04/25.45 Y := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43777) {G1,W16,D4,L4,V2,M4} { sdtmndt0( sdtpldt0( X, Y ), X ) = Y
% 25.04/25.45 , ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 25.04/25.45 aNaturalNumber0( Y ) }.
% 25.04/25.45 parent0[3, 4]: (43775) {G1,W18,D4,L5,V2,M5} { sdtmndt0( sdtpldt0( X, Y ),
% 25.04/25.45 X ) = Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 25.04/25.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (87) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X )
% 25.04/25.45 , ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0(
% 25.04/25.45 sdtpldt0( X, Y ), X ) ==> Y }.
% 25.04/25.45 parent0: (43777) {G1,W16,D4,L4,V2,M4} { sdtmndt0( sdtpldt0( X, Y ), X ) =
% 25.04/25.45 Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 25.04/25.45 aNaturalNumber0( Y ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := Y
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 3
% 25.04/25.45 1 ==> 0
% 25.04/25.45 2 ==> 1
% 25.04/25.45 3 ==> 2
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43786) {G1,W14,D4,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 25.04/25.45 sdtlseqdt0( X, sdtpldt0( X, X ) ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X
% 25.04/25.45 }.
% 25.04/25.45 parent0[0, 2]: (87) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X
% 25.04/25.45 ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0
% 25.04/25.45 ( sdtpldt0( X, Y ), X ) ==> Y }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 resolution: (43787) {G2,W13,D4,L4,V1,M4} { ! aNaturalNumber0( X ),
% 25.04/25.45 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 parent0[1]: (43786) {G1,W14,D4,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 25.04/25.45 sdtlseqdt0( X, sdtpldt0( X, X ) ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X
% 25.04/25.45 }.
% 25.04/25.45 parent1[2]: (76) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 substitution1:
% 25.04/25.45 X := X
% 25.04/25.45 Y := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43791) {G2,W11,D4,L3,V1,M3} { ! aNaturalNumber0( X ), sdtmndt0(
% 25.04/25.45 sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ) }.
% 25.04/25.45 parent0[0, 2]: (43787) {G2,W13,D4,L4,V1,M4} { ! aNaturalNumber0( X ),
% 25.04/25.45 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 factor: (43792) {G2,W9,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0(
% 25.04/25.45 sdtpldt0( X, X ), X ) ==> X }.
% 25.04/25.45 parent0[0, 2]: (43791) {G2,W11,D4,L3,V1,M3} { ! aNaturalNumber0( X ),
% 25.04/25.45 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (88) {G2,W9,D4,L2,V1,M2} F(87);r(76) { ! aNaturalNumber0( X )
% 25.04/25.45 , sdtmndt0( sdtpldt0( X, X ), X ) ==> X }.
% 25.04/25.45 parent0: (43792) {G2,W9,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0(
% 25.04/25.45 sdtpldt0( X, X ), X ) ==> X }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 resolution: (43793) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( sz10, X ) ) }.
% 25.04/25.45 parent0[0]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.45 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := sz10
% 25.04/25.45 Y := X
% 25.04/25.45 end
% 25.04/25.45 substitution1:
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (98) {G1,W6,D3,L2,V1,M2} R(4,2) { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( sz10, X ) ) }.
% 25.04/25.45 parent0: (43793) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( sz10, X ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 resolution: (43796) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, xm ) ) }.
% 25.04/25.45 parent0[1]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.45 parent1[0]: (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := xm
% 25.04/25.45 end
% 25.04/25.45 substitution1:
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (101) {G1,W6,D3,L2,V1,M2} R(4,32) { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, xm ) ) }.
% 25.04/25.45 parent0: (43796) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, xm ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 resolution: (43798) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, skol2 ) ) }.
% 25.04/25.45 parent0[1]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.45 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.45 parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 Y := skol2
% 25.04/25.45 end
% 25.04/25.45 substitution1:
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 subsumption: (105) {G1,W6,D3,L2,V1,M2} R(4,34) { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, skol2 ) ) }.
% 25.04/25.45 parent0: (43798) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, skol2 ) ) }.
% 25.04/25.45 substitution0:
% 25.04/25.45 X := X
% 25.04/25.45 end
% 25.04/25.45 permutation0:
% 25.04/25.45 0 ==> 0
% 25.04/25.45 1 ==> 1
% 25.04/25.45 end
% 25.04/25.45
% 25.04/25.45 resolution: (43800) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.45 aNaturalNumber0( sdtpldt0( X, skol3 ) ) }.
% 25.04/25.45 parent0[1]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.04/25.46 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := skol3
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (107) {G1,W6,D3,L2,V1,M2} R(4,37) { ! aNaturalNumber0( X ),
% 25.04/25.46 aNaturalNumber0( sdtpldt0( X, skol3 ) ) }.
% 25.04/25.46 parent0: (43800) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.46 aNaturalNumber0( sdtpldt0( X, skol3 ) ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 1 ==> 1
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43801) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.46 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 25.04/25.46 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.04/25.46 parent1[0]: (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := xm
% 25.04/25.46 Y := X
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (119) {G1,W6,D3,L2,V1,M2} R(5,32) { ! aNaturalNumber0( X ),
% 25.04/25.46 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 25.04/25.46 parent0: (43801) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.46 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 1 ==> 1
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43804) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.46 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 25.04/25.46 parent0[1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.04/25.46 parent1[0]: (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := xm
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (120) {G1,W6,D3,L2,V1,M2} R(5,32) { ! aNaturalNumber0( X ),
% 25.04/25.46 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 25.04/25.46 parent0: (43804) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.04/25.46 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 1 ==> 1
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43805) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 25.04/25.46 sz10 ) ) }.
% 25.04/25.46 parent0[0]: (119) {G1,W6,D3,L2,V1,M2} R(5,32) { ! aNaturalNumber0( X ),
% 25.04/25.46 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 25.04/25.46 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := sz10
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (167) {G2,W4,D3,L1,V0,M1} R(119,2) { aNaturalNumber0( sdtasdt0
% 25.04/25.46 ( xm, sz10 ) ) }.
% 25.04/25.46 parent0: (43805) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm, sz10
% 25.04/25.46 ) ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43806) {G0,W5,D3,L1,V0,M1} { xn ==> sdtpldt0( xm, skol2 ) }.
% 25.04/25.46 parent0[0]: (35) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xm, skol2 ) ==> xn }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 paramod: (43807) {G1,W9,D3,L3,V0,M3} { xn ==> sdtpldt0( skol2, xm ), !
% 25.04/25.46 aNaturalNumber0( xm ), ! aNaturalNumber0( skol2 ) }.
% 25.04/25.46 parent0[2]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.04/25.46 parent1[0; 2]: (43806) {G0,W5,D3,L1,V0,M1} { xn ==> sdtpldt0( xm, skol2 )
% 25.04/25.46 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := xm
% 25.04/25.46 Y := skol2
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43847) {G1,W7,D3,L2,V0,M2} { xn ==> sdtpldt0( skol2, xm ), !
% 25.04/25.46 aNaturalNumber0( skol2 ) }.
% 25.04/25.46 parent0[1]: (43807) {G1,W9,D3,L3,V0,M3} { xn ==> sdtpldt0( skol2, xm ), !
% 25.04/25.46 aNaturalNumber0( xm ), ! aNaturalNumber0( skol2 ) }.
% 25.04/25.46 parent1[0]: (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43848) {G1,W7,D3,L2,V0,M2} { sdtpldt0( skol2, xm ) ==> xn, !
% 25.04/25.46 aNaturalNumber0( skol2 ) }.
% 25.04/25.46 parent0[0]: (43847) {G1,W7,D3,L2,V0,M2} { xn ==> sdtpldt0( skol2, xm ), !
% 25.04/25.46 aNaturalNumber0( skol2 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (188) {G1,W7,D3,L2,V0,M2} P(6,35);r(32) { sdtpldt0( skol2, xm
% 25.04/25.46 ) ==> xn, ! aNaturalNumber0( skol2 ) }.
% 25.04/25.46 parent0: (43848) {G1,W7,D3,L2,V0,M2} { sdtpldt0( skol2, xm ) ==> xn, !
% 25.04/25.46 aNaturalNumber0( skol2 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 1 ==> 1
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 *** allocated 864960 integers for termspace/termends
% 25.04/25.46 eqswap: (43849) {G0,W5,D3,L1,V0,M1} { xm ==> sdtpldt0( xn, skol3 ) }.
% 25.04/25.46 parent0[0]: (38) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xn, skol3 ) ==> xm }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 paramod: (43850) {G1,W9,D3,L3,V0,M3} { xm ==> sdtpldt0( skol3, xn ), !
% 25.04/25.46 aNaturalNumber0( xn ), ! aNaturalNumber0( skol3 ) }.
% 25.04/25.46 parent0[2]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.04/25.46 parent1[0; 2]: (43849) {G0,W5,D3,L1,V0,M1} { xm ==> sdtpldt0( xn, skol3 )
% 25.04/25.46 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := xn
% 25.04/25.46 Y := skol3
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43890) {G1,W7,D3,L2,V0,M2} { xm ==> sdtpldt0( skol3, xn ), !
% 25.04/25.46 aNaturalNumber0( skol3 ) }.
% 25.04/25.46 parent0[1]: (43850) {G1,W9,D3,L3,V0,M3} { xm ==> sdtpldt0( skol3, xn ), !
% 25.04/25.46 aNaturalNumber0( xn ), ! aNaturalNumber0( skol3 ) }.
% 25.04/25.46 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43891) {G1,W7,D3,L2,V0,M2} { sdtpldt0( skol3, xn ) ==> xm, !
% 25.04/25.46 aNaturalNumber0( skol3 ) }.
% 25.04/25.46 parent0[0]: (43890) {G1,W7,D3,L2,V0,M2} { xm ==> sdtpldt0( skol3, xn ), !
% 25.04/25.46 aNaturalNumber0( skol3 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (189) {G1,W7,D3,L2,V0,M2} P(6,38);r(33) { sdtpldt0( skol3, xn
% 25.04/25.46 ) ==> xm, ! aNaturalNumber0( skol3 ) }.
% 25.04/25.46 parent0: (43891) {G1,W7,D3,L2,V0,M2} { sdtpldt0( skol3, xn ) ==> xm, !
% 25.04/25.46 aNaturalNumber0( skol3 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 1 ==> 1
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43892) {G0,W17,D4,L4,V3,M4} { sdtpldt0( sdtpldt0( X, Y ), Z ) ==>
% 25.04/25.46 sdtpldt0( X, sdtpldt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.04/25.46 parent0[3]: (7) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( X, sdtpldt0( Y, Z
% 25.04/25.46 ) ) ==> sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := Y
% 25.04/25.46 Z := Z
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43893) {G1,W15,D4,L3,V2,M3} { sdtpldt0( sdtpldt0( skol3, X )
% 25.04/25.46 , Y ) ==> sdtpldt0( skol3, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ) }.
% 25.04/25.46 parent0[1]: (43892) {G0,W17,D4,L4,V3,M4} { sdtpldt0( sdtpldt0( X, Y ), Z )
% 25.04/25.46 ==> sdtpldt0( X, sdtpldt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.04/25.46 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := skol3
% 25.04/25.46 Y := X
% 25.04/25.46 Z := Y
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43898) {G1,W15,D4,L3,V2,M3} { sdtpldt0( skol3, sdtpldt0( X, Y ) )
% 25.04/25.46 ==> sdtpldt0( sdtpldt0( skol3, X ), Y ), ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ) }.
% 25.04/25.46 parent0[0]: (43893) {G1,W15,D4,L3,V2,M3} { sdtpldt0( sdtpldt0( skol3, X )
% 25.04/25.46 , Y ) ==> sdtpldt0( skol3, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := Y
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (245) {G1,W15,D4,L3,V2,M3} R(7,37) { ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), sdtpldt0( skol3, sdtpldt0( X, Y ) ) ==> sdtpldt0(
% 25.04/25.46 sdtpldt0( skol3, X ), Y ) }.
% 25.04/25.46 parent0: (43898) {G1,W15,D4,L3,V2,M3} { sdtpldt0( skol3, sdtpldt0( X, Y )
% 25.04/25.46 ) ==> sdtpldt0( sdtpldt0( skol3, X ), Y ), ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := Y
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 2
% 25.04/25.46 1 ==> 0
% 25.04/25.46 2 ==> 1
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43905) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( X, sz00 ), !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 parent0[1]: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X
% 25.04/25.46 , sz00 ) ==> X }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43906) {G1,W5,D3,L1,V0,M1} { xm ==> sdtpldt0( xm, sz00 ) }.
% 25.04/25.46 parent0[1]: (43905) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( X, sz00 ), !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 parent1[0]: (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := xm
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43907) {G1,W5,D3,L1,V0,M1} { sdtpldt0( xm, sz00 ) ==> xm }.
% 25.04/25.46 parent0[0]: (43906) {G1,W5,D3,L1,V0,M1} { xm ==> sdtpldt0( xm, sz00 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (335) {G1,W5,D3,L1,V0,M1} R(8,32) { sdtpldt0( xm, sz00 ) ==>
% 25.04/25.46 xm }.
% 25.04/25.46 parent0: (43907) {G1,W5,D3,L1,V0,M1} { sdtpldt0( xm, sz00 ) ==> xm }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43908) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( sz00, X ), !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 25.04/25.46 sz00, X ) ==> X }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43909) {G1,W5,D3,L1,V0,M1} { skol3 ==> sdtpldt0( sz00, skol3
% 25.04/25.46 ) }.
% 25.04/25.46 parent0[1]: (43908) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( sz00, X ), !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := skol3
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43910) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, skol3 ) ==> skol3
% 25.04/25.46 }.
% 25.04/25.46 parent0[0]: (43909) {G1,W5,D3,L1,V0,M1} { skol3 ==> sdtpldt0( sz00, skol3
% 25.04/25.46 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (395) {G1,W5,D3,L1,V0,M1} R(9,37) { sdtpldt0( sz00, skol3 )
% 25.04/25.46 ==> skol3 }.
% 25.04/25.46 parent0: (43910) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, skol3 ) ==> skol3
% 25.04/25.46 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43911) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 parent0[1]: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 25.04/25.46 X, sz10 ) ==> X }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43912) {G1,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xm, sz10 ) }.
% 25.04/25.46 parent0[1]: (43911) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 parent1[0]: (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := xm
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43913) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> xm }.
% 25.04/25.46 parent0[0]: (43912) {G1,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xm, sz10 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (520) {G1,W5,D3,L1,V0,M1} R(12,32) { sdtasdt0( xm, sz10 ) ==>
% 25.04/25.46 xm }.
% 25.04/25.46 parent0: (43913) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> xm }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43914) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( sz10, X ), !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 parent0[1]: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 25.04/25.46 sz10, X ) ==> X }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43916) {G1,W9,D4,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 25.04/25.46 sdtasdt0( sz10, sdtasdt0( xm, sz10 ) ) }.
% 25.04/25.46 parent0[1]: (43914) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( sz10, X ), !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 parent1[0]: (167) {G2,W4,D3,L1,V0,M1} R(119,2) { aNaturalNumber0( sdtasdt0
% 25.04/25.46 ( xm, sz10 ) ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := sdtasdt0( xm, sz10 )
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 paramod: (43918) {G2,W7,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> sdtasdt0(
% 25.04/25.46 sz10, xm ) }.
% 25.04/25.46 parent0[0]: (520) {G1,W5,D3,L1,V0,M1} R(12,32) { sdtasdt0( xm, sz10 ) ==>
% 25.04/25.46 xm }.
% 25.04/25.46 parent1[0; 6]: (43916) {G1,W9,D4,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 25.04/25.46 sdtasdt0( sz10, sdtasdt0( xm, sz10 ) ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 paramod: (43919) {G2,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( sz10, xm ) }.
% 25.04/25.46 parent0[0]: (520) {G1,W5,D3,L1,V0,M1} R(12,32) { sdtasdt0( xm, sz10 ) ==>
% 25.04/25.46 xm }.
% 25.04/25.46 parent1[0; 1]: (43918) {G2,W7,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 25.04/25.46 sdtasdt0( sz10, xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43921) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz10, xm ) ==> xm }.
% 25.04/25.46 parent0[0]: (43919) {G2,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( sz10, xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (579) {G3,W5,D3,L1,V0,M1} R(13,167);d(520) { sdtasdt0( sz10,
% 25.04/25.46 xm ) ==> xm }.
% 25.04/25.46 parent0: (43921) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz10, xm ) ==> xm }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43924) {G0,W19,D4,L4,V3,M4} { sdtasdt0( sdtpldt0( X, Z ), Y ) ==>
% 25.04/25.46 sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( Z, Y ) ), ! aNaturalNumber0( Y ),
% 25.04/25.46 ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ) }.
% 25.04/25.46 parent0[3]: (17) {G0,W19,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtasdt0( Y, X )
% 25.04/25.46 , sdtasdt0( Z, X ) ) ==> sdtasdt0( sdtpldt0( Y, Z ), X ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := Y
% 25.04/25.46 Y := X
% 25.04/25.46 Z := Z
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 paramod: (43926) {G1,W17,D4,L4,V1,M4} { sdtasdt0( sdtpldt0( X, sz10 ), xm
% 25.04/25.46 ) ==> sdtpldt0( sdtasdt0( X, xm ), xm ), ! aNaturalNumber0( xm ), !
% 25.04/25.46 aNaturalNumber0( X ), ! aNaturalNumber0( sz10 ) }.
% 25.04/25.46 parent0[0]: (579) {G3,W5,D3,L1,V0,M1} R(13,167);d(520) { sdtasdt0( sz10, xm
% 25.04/25.46 ) ==> xm }.
% 25.04/25.46 parent1[0; 10]: (43924) {G0,W19,D4,L4,V3,M4} { sdtasdt0( sdtpldt0( X, Z )
% 25.04/25.46 , Y ) ==> sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( Z, Y ) ), !
% 25.04/25.46 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 X := X
% 25.04/25.46 Y := xm
% 25.04/25.46 Z := sz10
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43935) {G1,W15,D4,L3,V1,M3} { sdtasdt0( sdtpldt0( X, sz10 ),
% 25.04/25.46 xm ) ==> sdtpldt0( sdtasdt0( X, xm ), xm ), ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( sz10 ) }.
% 25.04/25.46 parent0[1]: (43926) {G1,W17,D4,L4,V1,M4} { sdtasdt0( sdtpldt0( X, sz10 ),
% 25.04/25.46 xm ) ==> sdtpldt0( sdtasdt0( X, xm ), xm ), ! aNaturalNumber0( xm ), !
% 25.04/25.46 aNaturalNumber0( X ), ! aNaturalNumber0( sz10 ) }.
% 25.04/25.46 parent1[0]: (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (711) {G4,W15,D4,L3,V1,M3} P(579,17);r(32) { ! aNaturalNumber0
% 25.04/25.46 ( X ), ! aNaturalNumber0( sz10 ), sdtasdt0( sdtpldt0( X, sz10 ), xm ) ==>
% 25.04/25.46 sdtpldt0( sdtasdt0( X, xm ), xm ) }.
% 25.04/25.46 parent0: (43935) {G1,W15,D4,L3,V1,M3} { sdtasdt0( sdtpldt0( X, sz10 ), xm
% 25.04/25.46 ) ==> sdtpldt0( sdtasdt0( X, xm ), xm ), ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( sz10 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 2
% 25.04/25.46 1 ==> 0
% 25.04/25.46 2 ==> 1
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 factor: (43942) {G4,W13,D4,L2,V0,M2} { ! aNaturalNumber0( sz10 ), sdtasdt0
% 25.04/25.46 ( sdtpldt0( sz10, sz10 ), xm ) ==> sdtpldt0( sdtasdt0( sz10, xm ), xm )
% 25.04/25.46 }.
% 25.04/25.46 parent0[0, 1]: (711) {G4,W15,D4,L3,V1,M3} P(579,17);r(32) { !
% 25.04/25.46 aNaturalNumber0( X ), ! aNaturalNumber0( sz10 ), sdtasdt0( sdtpldt0( X,
% 25.04/25.46 sz10 ), xm ) ==> sdtpldt0( sdtasdt0( X, xm ), xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := sz10
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 paramod: (43943) {G4,W11,D4,L2,V0,M2} { sdtasdt0( sdtpldt0( sz10, sz10 ),
% 25.04/25.46 xm ) ==> sdtpldt0( xm, xm ), ! aNaturalNumber0( sz10 ) }.
% 25.04/25.46 parent0[0]: (579) {G3,W5,D3,L1,V0,M1} R(13,167);d(520) { sdtasdt0( sz10, xm
% 25.04/25.46 ) ==> xm }.
% 25.04/25.46 parent1[1; 7]: (43942) {G4,W13,D4,L2,V0,M2} { ! aNaturalNumber0( sz10 ),
% 25.04/25.46 sdtasdt0( sdtpldt0( sz10, sz10 ), xm ) ==> sdtpldt0( sdtasdt0( sz10, xm )
% 25.04/25.46 , xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43944) {G1,W9,D4,L1,V0,M1} { sdtasdt0( sdtpldt0( sz10, sz10 )
% 25.04/25.46 , xm ) ==> sdtpldt0( xm, xm ) }.
% 25.04/25.46 parent0[1]: (43943) {G4,W11,D4,L2,V0,M2} { sdtasdt0( sdtpldt0( sz10, sz10
% 25.04/25.46 ), xm ) ==> sdtpldt0( xm, xm ), ! aNaturalNumber0( sz10 ) }.
% 25.04/25.46 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (714) {G5,W9,D4,L1,V0,M1} F(711);d(579);r(2) { sdtasdt0(
% 25.04/25.46 sdtpldt0( sz10, sz10 ), xm ) ==> sdtpldt0( xm, xm ) }.
% 25.04/25.46 parent0: (43944) {G1,W9,D4,L1,V0,M1} { sdtasdt0( sdtpldt0( sz10, sz10 ),
% 25.04/25.46 xm ) ==> sdtpldt0( xm, xm ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43946) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 25.04/25.46 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.04/25.46 sdtasdt0( X, Z ), Y = Z }.
% 25.04/25.46 parent0[1]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 25.04/25.46 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.04/25.46 sdtasdt0( X, Z ), Y = Z }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := Y
% 25.04/25.46 Z := Z
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (43951) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 25.04/25.46 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, skol2 ), Y
% 25.04/25.46 = skol2 }.
% 25.04/25.46 parent0[3]: (43946) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 25.04/25.46 ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.04/25.46 sdtasdt0( X, Z ), Y = Z }.
% 25.04/25.46 parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := Y
% 25.04/25.46 Z := skol2
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43954) {G1,W17,D3,L5,V2,M5} { skol2 = X, sz00 = Y, !
% 25.04/25.46 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 25.04/25.46 sdtasdt0( Y, skol2 ) }.
% 25.04/25.46 parent0[4]: (43951) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 25.04/25.46 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, skol2 ), Y
% 25.04/25.46 = skol2 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := Y
% 25.04/25.46 Y := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43955) {G1,W17,D3,L5,V2,M5} { X = sz00, skol2 = Y, !
% 25.04/25.46 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 25.04/25.46 sdtasdt0( X, skol2 ) }.
% 25.04/25.46 parent0[1]: (43954) {G1,W17,D3,L5,V2,M5} { skol2 = X, sz00 = Y, !
% 25.04/25.46 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 25.04/25.46 sdtasdt0( Y, skol2 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := Y
% 25.04/25.46 Y := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43956) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, skol2 ) = sdtasdt0(
% 25.04/25.46 X, Y ), X = sz00, skol2 = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.04/25.46 ) }.
% 25.04/25.46 parent0[4]: (43955) {G1,W17,D3,L5,V2,M5} { X = sz00, skol2 = Y, !
% 25.04/25.46 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 25.04/25.46 sdtasdt0( X, skol2 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := Y
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (1170) {G1,W17,D3,L5,V2,M5} R(20,34) { ! aNaturalNumber0( X )
% 25.04/25.46 , X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, skol2 ) = sdtasdt0( X
% 25.04/25.46 , Y ), skol2 = Y }.
% 25.04/25.46 parent0: (43956) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, skol2 ) = sdtasdt0
% 25.04/25.46 ( X, Y ), X = sz00, skol2 = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0
% 25.04/25.46 ( Y ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := Y
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 3
% 25.04/25.46 1 ==> 1
% 25.04/25.46 2 ==> 4
% 25.04/25.46 3 ==> 0
% 25.04/25.46 4 ==> 2
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43977) {G1,W17,D3,L5,V2,M5} { X = skol2, ! aNaturalNumber0( Y ),
% 25.04/25.46 Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, skol2 ) = sdtasdt0( Y, X
% 25.04/25.46 ) }.
% 25.04/25.46 parent0[4]: (1170) {G1,W17,D3,L5,V2,M5} R(20,34) { ! aNaturalNumber0( X ),
% 25.04/25.46 X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, skol2 ) = sdtasdt0( X, Y
% 25.04/25.46 ), skol2 = Y }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := Y
% 25.04/25.46 Y := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (43979) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) = sdtasdt0( X,
% 25.04/25.46 skol2 ), Y = skol2, ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0(
% 25.04/25.46 Y ) }.
% 25.04/25.46 parent0[4]: (43977) {G1,W17,D3,L5,V2,M5} { X = skol2, ! aNaturalNumber0( Y
% 25.04/25.46 ), Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, skol2 ) = sdtasdt0(
% 25.04/25.46 Y, X ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := Y
% 25.04/25.46 Y := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqfact: (44060) {G0,W17,D3,L5,V1,M5} { ! skol2 = sz00, ! sdtasdt0( X, X )
% 25.04/25.46 = sdtasdt0( X, skol2 ), ! aNaturalNumber0( X ), X = sz00, !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 parent0[1, 3]: (43979) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) =
% 25.04/25.46 sdtasdt0( X, skol2 ), Y = skol2, ! aNaturalNumber0( X ), X = sz00, !
% 25.04/25.46 aNaturalNumber0( Y ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 Y := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 factor: (44063) {G0,W15,D3,L4,V1,M4} { ! skol2 = sz00, ! sdtasdt0( X, X )
% 25.04/25.46 = sdtasdt0( X, skol2 ), ! aNaturalNumber0( X ), X = sz00 }.
% 25.04/25.46 parent0[2, 4]: (44060) {G0,W17,D3,L5,V1,M5} { ! skol2 = sz00, ! sdtasdt0(
% 25.04/25.46 X, X ) = sdtasdt0( X, skol2 ), ! aNaturalNumber0( X ), X = sz00, !
% 25.04/25.46 aNaturalNumber0( X ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (44065) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, skol2 ) = sdtasdt0(
% 25.04/25.46 X, X ), ! skol2 = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 25.04/25.46 parent0[1]: (44063) {G0,W15,D3,L4,V1,M4} { ! skol2 = sz00, ! sdtasdt0( X,
% 25.04/25.46 X ) = sdtasdt0( X, skol2 ), ! aNaturalNumber0( X ), X = sz00 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (1254) {G2,W15,D3,L4,V1,M4} E(1170);f { ! skol2 ==> sz00, !
% 25.04/25.46 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, skol2 ) = sdtasdt0( X, X )
% 25.04/25.46 }.
% 25.04/25.46 parent0: (44065) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, skol2 ) = sdtasdt0
% 25.04/25.46 ( X, X ), ! skol2 = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 3
% 25.04/25.46 1 ==> 0
% 25.04/25.46 2 ==> 1
% 25.04/25.46 3 ==> 2
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (44092) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> skol2, ! aNaturalNumber0
% 25.04/25.46 ( X ), X = sz00, ! sdtasdt0( X, skol2 ) = sdtasdt0( X, X ) }.
% 25.04/25.46 parent0[0]: (1254) {G2,W15,D3,L4,V1,M4} E(1170);f { ! skol2 ==> sz00, !
% 25.04/25.46 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, skol2 ) = sdtasdt0( X, X )
% 25.04/25.46 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := X
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqrefl: (44099) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> skol2, ! aNaturalNumber0
% 25.04/25.46 ( skol2 ), skol2 = sz00 }.
% 25.04/25.46 parent0[3]: (44092) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> skol2, !
% 25.04/25.46 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, skol2 ) = sdtasdt0( X, X )
% 25.04/25.46 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 X := skol2
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 resolution: (44100) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> skol2, skol2 = sz00
% 25.04/25.46 }.
% 25.04/25.46 parent0[1]: (44099) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> skol2, !
% 25.04/25.46 aNaturalNumber0( skol2 ), skol2 = sz00 }.
% 25.04/25.46 parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (44101) {G1,W6,D2,L2,V0,M2} { ! skol2 ==> sz00, skol2 = sz00 }.
% 25.04/25.46 parent0[0]: (44100) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> skol2, skol2 = sz00
% 25.04/25.46 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 subsumption: (1257) {G3,W6,D2,L2,V0,M2} Q(1254);r(34) { ! skol2 ==> sz00,
% 25.04/25.46 skol2 ==> sz00 }.
% 25.04/25.46 parent0: (44101) {G1,W6,D2,L2,V0,M2} { ! skol2 ==> sz00, skol2 = sz00 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 permutation0:
% 25.04/25.46 0 ==> 0
% 25.04/25.46 1 ==> 1
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (44104) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> skol2, skol2 ==> sz00 }.
% 25.04/25.46 parent0[0]: (1257) {G3,W6,D2,L2,V0,M2} Q(1254);r(34) { ! skol2 ==> sz00,
% 25.04/25.46 skol2 ==> sz00 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 eqswap: (44107) {G0,W5,D3,L1,V0,M1} { xn ==> sdtpldt0( xm, skol2 ) }.
% 25.04/25.46 parent0[0]: (35) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xm, skol2 ) ==> xn }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 paramod: (44109) {G1,W8,D3,L2,V0,M2} { xn ==> sdtpldt0( xm, sz00 ), ! sz00
% 25.04/25.46 ==> skol2 }.
% 25.04/25.46 parent0[1]: (44104) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> skol2, skol2 ==> sz00
% 25.04/25.46 }.
% 25.04/25.46 parent1[0; 4]: (44107) {G0,W5,D3,L1,V0,M1} { xn ==> sdtpldt0( xm, skol2 )
% 25.04/25.46 }.
% 25.04/25.46 substitution0:
% 25.04/25.46 end
% 25.04/25.46 substitution1:
% 25.04/25.46 end
% 25.04/25.46
% 25.04/25.46 paramod: (44120) {G2,W6,D2,L2,V0,M2} { xn ==> xm, ! sz00 ==> skol2 }.
% 25.04/25.46 parent0[0]: (335) {G1,W5,D3,L1,V0,M1} R(8,32) { sdtpldt0( xm, sz00 ) ==> xm
% 25.04/25.46 }.
% 25.04/25.46 parent1[0; 2]: (44109) {G1,W8,D3,L2,V0,M2} { xn ==> sdtpldt0( xm, sz00 ),
% 25.34/25.71 ! sz00 ==> skol2 }.
% 25.34/25.71 substitution0:
% 25.34/25.71 end
% 25.34/25.71 substitution1:
% 25.34/25.71 end
% 25.34/25.71
% 25.34/25.71 eqswap: (44122) {G2,W6,D2,L2,V0,M2} { ! skol2 ==> sz00, xn ==> xm }.
% 25.34/25.71 parent0[1]: (44120) {G2,W6,D2,L2,V0,M2} { xn ==> xm, ! sz00 ==> skol2 }.
% 25.34/25.71 substitution0:
% 25.34/25.71 end
% 25.34/25.71
% 25.34/25.71 subsumption: (1605) {G4,W6,D2,L2,V0,M2} P(1257,35);d(335) { ! skol2 ==>
% 25.34/25.71 sz00, xn ==> xm }.
% 25.34/25.71 parent0: (44122) {G2,W6,D2,L2,V0,M2} { ! skol2 ==> sz00, xn ==> xm }.
% 25.34/25.71 substitution0:
% 25.34/25.71 end
% 25.34/25.71 permutation0:
% 25.34/25.71 0 ==> 0
% 25.34/25.71 1 ==> 1
% 25.34/25.71 end
% 25.34/25.71
% 25.34/25.71 resolution: (44128) {G1,W3,D2,L1,V0,M1} { ! skol2 ==> sz00 }.
% 25.34/25.71 parent0[0]: (40) {G0,W3,D2,L1,V0,M1} I { ! xn ==> xm }.
% 25.34/25.71 parent1[1]: (1605) {G4,W6,D2,L2,V0,M2} P(1257,35);d(335) { ! skol2 ==> sz00
% 25.34/25.71 , xn ==> xm }.
% 25.34/25.71 substitution0:
% 25.34/25.71 end
% 25.34/25.71 substitution1:
% 25.34/25.71 end
% 25.34/25.71
% 25.34/25.71 subsumption: (1606) {G5,W3,D2,L1,V0,M1} S(1605);r(40) { ! skol2 ==> sz00
% 25.34/25.71 }.
% 25.34/25.71 parent0: (44128) {G1,W3,D2,L1,V0,M1} { ! skol2 ==> sz00 }.
% 25.34/25.71 substitution0:
% 25.34/25.71 end
% 25.34/25.71 permutation0:
% 25.34/25.71 0 ==> 0
% 25.34/25.71 end
% 25.34/25.71
% 25.34/25.71 eqswap: (44130) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 25.34/25.71 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 25.34/25.71 parent0[2]: (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 25.34/25.71 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 25.34/25.71 substitution0:
% 25.34/25.71 X := X
% 25.34/25.71 Y := Y
% 25.34/25.71 end
% 25.34/25.71
% 25.34/25.71 eqswap: (44133) {G5,W3,D2,L1,V0,M1} { ! sz00 ==> skol2 }.
% 25.34/25.71 parent0[0]: (1606) {G5,W3,D2,L1,V0,M1} S(1605);r(40) { ! skol2 ==> sz00 }.
% 25.34/25.71 substitution0:
% 25.34/25.71 end
% 25.34/25.71
% 25.34/25.71 paramod: (44135) {G1,W12,D3,L4,V1,M4} { ! sz00 ==> sz00, ! sz00 ==>
% 25.34/25.71 sdtpldt0( X, skol2 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( skol2 )
% 25.34/25.71 }.
% 25.34/25.71 parent0[3]: (44130) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 25.34/25.71 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 25.34/25.71 parent1[0; 3]: (44133) {G5,W3,D2,L1,V0,M1} { ! sz00 ==> skol2 }.
% 25.34/25.71 substitution0:
% 25.34/25.71 X := X
% 25.34/25.71 Y := skol2
% 25.34/25.71 end
% 25.34/25.71 substitution1:
% 25.34/25.71 end
% 25.34/25.71
% 25.34/25.71 eqrefl: (44497) {G0,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( X, skol2 ), !
% 25.34/25.71 aNaturalNumber0( X ), ! aNaturalNumber0( skol2 ) }.
% 25.34/25.71 parent0[0]: (44135) {G1,W12,D3,L4,V1,M4} { ! sz00 ==> sz00, ! sz00 ==>
% 25.34/25.71 sdtpldt0( X, skol2 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( skol2 )
% 25.34/25.71 }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44501) {G1,W7,D3,L2,V1,M2} { ! sz00 ==> sdtpldt0( X, skol2 )
% 25.34/25.72 , ! aNaturalNumber0( X ) }.
% 25.34/25.72 parent0[2]: (44497) {G0,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( X, skol2 )
% 25.34/25.72 , ! aNaturalNumber0( X ), ! aNaturalNumber0( skol2 ) }.
% 25.34/25.72 parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44502) {G1,W7,D3,L2,V1,M2} { ! sdtpldt0( X, skol2 ) ==> sz00, !
% 25.34/25.72 aNaturalNumber0( X ) }.
% 25.34/25.72 parent0[0]: (44501) {G1,W7,D3,L2,V1,M2} { ! sz00 ==> sdtpldt0( X, skol2 )
% 25.34/25.72 , ! aNaturalNumber0( X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (1739) {G6,W7,D3,L2,V1,M2} P(23,1606);q;r(34) { !
% 25.34/25.72 aNaturalNumber0( X ), ! sdtpldt0( X, skol2 ) ==> sz00 }.
% 25.34/25.72 parent0: (44502) {G1,W7,D3,L2,V1,M2} { ! sdtpldt0( X, skol2 ) ==> sz00, !
% 25.34/25.72 aNaturalNumber0( X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72 permutation0:
% 25.34/25.72 0 ==> 1
% 25.34/25.72 1 ==> 0
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44503) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( sz10
% 25.34/25.72 , sz10 ) ) }.
% 25.34/25.72 parent0[0]: (98) {G1,W6,D3,L2,V1,M2} R(4,2) { ! aNaturalNumber0( X ),
% 25.34/25.72 aNaturalNumber0( sdtpldt0( sz10, X ) ) }.
% 25.34/25.72 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := sz10
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (2039) {G2,W4,D3,L1,V0,M1} R(98,2) { aNaturalNumber0( sdtpldt0
% 25.34/25.72 ( sz10, sz10 ) ) }.
% 25.34/25.72 parent0: (44503) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( sz10,
% 25.34/25.72 sz10 ) ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 end
% 25.34/25.72 permutation0:
% 25.34/25.72 0 ==> 0
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44505) {G2,W6,D4,L1,V0,M1} { aNaturalNumber0( sdtasdt0(
% 25.34/25.72 sdtpldt0( sz10, sz10 ), xm ) ) }.
% 25.34/25.72 parent0[0]: (120) {G1,W6,D3,L2,V1,M2} R(5,32) { ! aNaturalNumber0( X ),
% 25.34/25.72 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 25.34/25.72 parent1[0]: (2039) {G2,W4,D3,L1,V0,M1} R(98,2) { aNaturalNumber0( sdtpldt0
% 25.34/25.72 ( sz10, sz10 ) ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := sdtpldt0( sz10, sz10 )
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 paramod: (44506) {G3,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( xm, xm )
% 25.34/25.72 ) }.
% 25.34/25.72 parent0[0]: (714) {G5,W9,D4,L1,V0,M1} F(711);d(579);r(2) { sdtasdt0(
% 25.34/25.72 sdtpldt0( sz10, sz10 ), xm ) ==> sdtpldt0( xm, xm ) }.
% 25.34/25.72 parent1[0; 1]: (44505) {G2,W6,D4,L1,V0,M1} { aNaturalNumber0( sdtasdt0(
% 25.34/25.72 sdtpldt0( sz10, sz10 ), xm ) ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (2068) {G6,W4,D3,L1,V0,M1} R(2039,120);d(714) {
% 25.34/25.72 aNaturalNumber0( sdtpldt0( xm, xm ) ) }.
% 25.34/25.72 parent0: (44506) {G3,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( xm, xm )
% 25.34/25.72 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 end
% 25.34/25.72 permutation0:
% 25.34/25.72 0 ==> 0
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44507) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 25.34/25.72 sdtlseqdt0( X, Z ) }.
% 25.34/25.72 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.34/25.72 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 25.34/25.72 sdtlseqdt0( X, Y ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Z
% 25.34/25.72 Z := Y
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44509) {G1,W12,D3,L4,V2,M4} { ! X = sdtpldt0( sz00, Y ), !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 25.34/25.72 parent0[1]: (44507) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 25.34/25.72 sdtlseqdt0( X, Z ) }.
% 25.34/25.72 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := sz00
% 25.34/25.72 Y := Y
% 25.34/25.72 Z := X
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 paramod: (44517) {G1,W12,D2,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y ), !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 25.34/25.72 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 25.34/25.72 sz00, X ) ==> X }.
% 25.34/25.72 parent1[0; 3]: (44509) {G1,W12,D3,L4,V2,M4} { ! X = sdtpldt0( sz00, Y ), !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := Y
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Y
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44518) {G1,W12,D2,L5,V2,M5} { ! Y = X, ! aNaturalNumber0( Y ), !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 25.34/25.72 parent0[0]: (44517) {G1,W12,D2,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y )
% 25.34/25.72 , ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X )
% 25.34/25.72 }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Y
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 factor: (44520) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( X ), !
% 25.34/25.72 aNaturalNumber0( Y ), sdtlseqdt0( sz00, Y ) }.
% 25.34/25.72 parent0[1, 3]: (44518) {G1,W12,D2,L5,V2,M5} { ! Y = X, ! aNaturalNumber0(
% 25.34/25.72 Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X
% 25.34/25.72 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := Y
% 25.34/25.72 Y := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (2252) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0(
% 25.34/25.72 X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 25.34/25.72 parent0: (44520) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( X ), !
% 25.34/25.72 aNaturalNumber0( Y ), sdtlseqdt0( sz00, Y ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := Y
% 25.34/25.72 Y := X
% 25.34/25.72 end
% 25.34/25.72 permutation0:
% 25.34/25.72 0 ==> 3
% 25.34/25.72 1 ==> 1
% 25.34/25.72 2 ==> 0
% 25.34/25.72 3 ==> 2
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44523) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 25.34/25.72 aNaturalNumber0( X ), sdtlseqdt0( sz00, Y ) }.
% 25.34/25.72 parent0[3]: (2252) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0( X
% 25.34/25.72 ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := Y
% 25.34/25.72 Y := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 factor: (44524) {G1,W8,D2,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X ),
% 25.34/25.72 sdtlseqdt0( sz00, X ) }.
% 25.34/25.72 parent0[1, 2]: (44523) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0(
% 25.34/25.72 Y ), ! aNaturalNumber0( X ), sdtlseqdt0( sz00, Y ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqrefl: (44525) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0(
% 25.34/25.72 sz00, X ) }.
% 25.34/25.72 parent0[0]: (44524) {G1,W8,D2,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X )
% 25.34/25.72 , sdtlseqdt0( sz00, X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (2305) {G2,W5,D2,L2,V1,M2} F(2252);q { ! aNaturalNumber0( X )
% 25.34/25.72 , sdtlseqdt0( sz00, X ) }.
% 25.34/25.72 parent0: (44525) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 25.34/25.72 ( sz00, X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72 permutation0:
% 25.34/25.72 0 ==> 0
% 25.34/25.72 1 ==> 1
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44526) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 25.34/25.72 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 25.34/25.72 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 25.34/25.72 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 25.34/25.72 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Z
% 25.34/25.72 Z := Y
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44530) {G1,W18,D3,L6,V2,M6} { ! X = sdtpldt0( sz00, Y ), !
% 25.34/25.72 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ),
% 25.34/25.72 Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 25.34/25.72 parent0[3]: (44526) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 25.34/25.72 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 25.34/25.72 parent1[1]: (2305) {G2,W5,D2,L2,V1,M2} F(2252);q { ! aNaturalNumber0( X ),
% 25.34/25.72 sdtlseqdt0( sz00, X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := sz00
% 25.34/25.72 Y := Y
% 25.34/25.72 Z := X
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 paramod: (44539) {G1,W18,D3,L7,V2,M7} { ! X = Y, ! aNaturalNumber0( Y ), !
% 25.34/25.72 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 25.34/25.72 , Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 25.34/25.72 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 25.34/25.72 sz00, X ) ==> X }.
% 25.34/25.72 parent1[0; 3]: (44530) {G1,W18,D3,L6,V2,M6} { ! X = sdtpldt0( sz00, Y ), !
% 25.34/25.72 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 25.34/25.72 , Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := Y
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Y
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 factor: (44542) {G1,W16,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y ), !
% 25.34/25.72 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 )
% 25.34/25.72 , ! aNaturalNumber0( X ) }.
% 25.34/25.72 parent0[1, 4]: (44539) {G1,W18,D3,L7,V2,M7} { ! X = Y, ! aNaturalNumber0(
% 25.34/25.72 Y ), ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0
% 25.34/25.72 ( Y ), Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Y
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 factor: (44546) {G1,W14,D3,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y ), !
% 25.34/25.72 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 )
% 25.34/25.72 }.
% 25.34/25.72 parent0[3, 5]: (44542) {G1,W16,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0(
% 25.34/25.72 Y ), ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X,
% 25.34/25.72 sz00 ), ! aNaturalNumber0( X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Y
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44599) {G1,W12,D3,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( Y )
% 25.34/25.72 , ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 25.34/25.72 parent0[2]: (44546) {G1,W14,D3,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y )
% 25.34/25.72 , ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X,
% 25.34/25.72 sz00 ) }.
% 25.34/25.72 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Y
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44600) {G1,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 25.34/25.72 aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 25.34/25.72 parent0[0]: (44599) {G1,W12,D3,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( Y )
% 25.34/25.72 , ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Y
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (3054) {G3,W12,D3,L4,V2,M4} R(2305,30);f;d(9);r(1) { !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sdtmndt0( X, sz00 ), !
% 25.34/25.72 Y = X }.
% 25.34/25.72 parent0: (44600) {G1,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 25.34/25.72 aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := Y
% 25.34/25.72 end
% 25.34/25.72 permutation0:
% 25.34/25.72 0 ==> 3
% 25.34/25.72 1 ==> 1
% 25.34/25.72 2 ==> 0
% 25.34/25.72 3 ==> 2
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44605) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xm ) }.
% 25.34/25.72 parent0[0]: (2305) {G2,W5,D2,L2,V1,M2} F(2252);q { ! aNaturalNumber0( X ),
% 25.34/25.72 sdtlseqdt0( sz00, X ) }.
% 25.34/25.72 parent1[0]: (32) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := xm
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (3102) {G3,W3,D2,L1,V0,M1} R(2305,32) { sdtlseqdt0( sz00, xm )
% 25.34/25.72 }.
% 25.34/25.72 parent0: (44605) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xm ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 end
% 25.34/25.72 permutation0:
% 25.34/25.72 0 ==> 0
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44607) {G3,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 25.34/25.72 aNaturalNumber0( X ), X = sdtmndt0( Y, sz00 ) }.
% 25.34/25.72 parent0[3]: (3054) {G3,W12,D3,L4,V2,M4} R(2305,30);f;d(9);r(1) { !
% 25.34/25.72 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sdtmndt0( X, sz00 ), !
% 25.34/25.72 Y = X }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := Y
% 25.34/25.72 Y := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 factor: (44610) {G3,W10,D3,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X ), X
% 25.34/25.72 = sdtmndt0( X, sz00 ) }.
% 25.34/25.72 parent0[1, 2]: (44607) {G3,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0(
% 25.34/25.72 Y ), ! aNaturalNumber0( X ), X = sdtmndt0( Y, sz00 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqrefl: (44611) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtmndt0
% 25.34/25.72 ( X, sz00 ) }.
% 25.34/25.72 parent0[0]: (44610) {G3,W10,D3,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X )
% 25.34/25.72 , X = sdtmndt0( X, sz00 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44612) {G0,W7,D3,L2,V1,M2} { sdtmndt0( X, sz00 ) = X, !
% 25.34/25.72 aNaturalNumber0( X ) }.
% 25.34/25.72 parent0[1]: (44611) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 25.34/25.72 sdtmndt0( X, sz00 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (3118) {G4,W7,D3,L2,V1,M2} F(3054);q { ! aNaturalNumber0( X )
% 25.34/25.72 , sdtmndt0( X, sz00 ) ==> X }.
% 25.34/25.72 parent0: (44612) {G0,W7,D3,L2,V1,M2} { sdtmndt0( X, sz00 ) = X, !
% 25.34/25.72 aNaturalNumber0( X ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72 permutation0:
% 25.34/25.72 0 ==> 1
% 25.34/25.72 1 ==> 0
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44613) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 25.34/25.72 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 25.34/25.72 sdtpldt0( Z, X ) = Y }.
% 25.34/25.72 parent0[3]: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.34/25.72 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 25.34/25.72 sdtpldt0( X, Z ) = Y }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := Z
% 25.34/25.72 Y := Y
% 25.34/25.72 Z := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44617) {G1,W14,D3,L4,V1,M4} { ! sdtmndt0( xm, sz00 ) = X, !
% 25.34/25.72 aNaturalNumber0( sz00 ), ! aNaturalNumber0( xm ), sdtpldt0( sz00, X ) =
% 25.34/25.72 xm }.
% 25.34/25.72 parent0[3]: (44613) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 25.34/25.72 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 25.34/25.72 sdtpldt0( Z, X ) = Y }.
% 25.34/25.72 parent1[0]: (3102) {G3,W3,D2,L1,V0,M1} R(2305,32) { sdtlseqdt0( sz00, xm )
% 25.34/25.72 }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 Y := xm
% 25.34/25.72 Z := sz00
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 paramod: (44618) {G2,W14,D3,L5,V1,M5} { ! xm = X, ! aNaturalNumber0( xm )
% 25.34/25.72 , ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( xm ), sdtpldt0( sz00, X )
% 25.34/25.72 = xm }.
% 25.34/25.72 parent0[1]: (3118) {G4,W7,D3,L2,V1,M2} F(3054);q { ! aNaturalNumber0( X ),
% 25.34/25.72 sdtmndt0( X, sz00 ) ==> X }.
% 25.34/25.72 parent1[0; 2]: (44617) {G1,W14,D3,L4,V1,M4} { ! sdtmndt0( xm, sz00 ) = X,
% 25.34/25.72 ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( xm ), sdtpldt0( sz00, X ) =
% 25.34/25.72 xm }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := xm
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 factor: (44619) {G2,W12,D3,L4,V1,M4} { ! xm = X, ! aNaturalNumber0( xm ),
% 25.34/25.72 ! aNaturalNumber0( sz00 ), sdtpldt0( sz00, X ) = xm }.
% 25.34/25.72 parent0[1, 3]: (44618) {G2,W14,D3,L5,V1,M5} { ! xm = X, ! aNaturalNumber0
% 25.34/25.72 ( xm ), ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( xm ), sdtpldt0(
% 25.34/25.72 sz00, X ) = xm }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44620) {G1,W10,D3,L3,V1,M3} { ! xm = X, ! aNaturalNumber0( xm
% 25.34/25.72 ), sdtpldt0( sz00, X ) = xm }.
% 25.34/25.72 parent0[2]: (44619) {G2,W12,D3,L4,V1,M4} { ! xm = X, ! aNaturalNumber0( xm
% 25.34/25.72 ), ! aNaturalNumber0( sz00 ), sdtpldt0( sz00, X ) = xm }.
% 25.34/25.72 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 eqswap: (44621) {G1,W10,D3,L3,V1,M3} { ! X = xm, ! aNaturalNumber0( xm ),
% 25.34/25.72 sdtpldt0( sz00, X ) = xm }.
% 25.34/25.72 parent0[0]: (44620) {G1,W10,D3,L3,V1,M3} { ! xm = X, ! aNaturalNumber0( xm
% 25.34/25.72 ), sdtpldt0( sz00, X ) = xm }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (3128) {G5,W10,D3,L3,V1,M3} R(3102,29);d(3118);r(1) { !
% 25.34/25.72 aNaturalNumber0( xm ), sdtpldt0( sz00, X ) ==> xm, ! X = xm }.
% 25.34/25.72 parent0: (44621) {G1,W10,D3,L3,V1,M3} { ! X = xm, ! aNaturalNumber0( xm )
% 25.34/25.72 , sdtpldt0( sz00, X ) = xm }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := X
% 25.34/25.72 end
% 25.34/25.72 permutation0:
% 25.34/25.72 0 ==> 2
% 25.34/25.72 1 ==> 0
% 25.34/25.72 2 ==> 1
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 resolution: (44624) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( skol3
% 25.34/25.72 , skol2 ) ) }.
% 25.34/25.72 parent0[0]: (105) {G1,W6,D3,L2,V1,M2} R(4,34) { ! aNaturalNumber0( X ),
% 25.34/25.72 aNaturalNumber0( sdtpldt0( X, skol2 ) ) }.
% 25.34/25.72 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 25.34/25.72 substitution0:
% 25.34/25.72 X := skol3
% 25.34/25.72 end
% 25.34/25.72 substitution1:
% 25.34/25.72 end
% 25.34/25.72
% 25.34/25.72 subsumption: (4606) {G2,W4,D3,L1,V0,M1} R(105,37) { aNaturalNumber0(
% 25.34/25.72 sdtpldt0( skol3, skol2 ) ) }.
% 25.34/25.72 parent0: (44624) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( skol3,
% 25.34/25.72 skol2 ) ) }.
% 25.34/25.72 substitution0:
% 300.09/300.53 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------