TSTP Solution File: NUM474+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM474+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 06:22:38 EDT 2022
% Result : Theorem 26.03s 26.49s
% Output : Refutation 26.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM474+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jul 5 07:45:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.06 *** allocated 10000 integers for termspace/termends
% 0.41/1.06 *** allocated 10000 integers for clauses
% 0.41/1.06 *** allocated 10000 integers for justifications
% 0.41/1.06 Bliksem 1.12
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Automatic Strategy Selection
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Clauses:
% 0.41/1.06
% 0.41/1.06 { && }.
% 0.41/1.06 { aNaturalNumber0( sz00 ) }.
% 0.41/1.06 { aNaturalNumber0( sz10 ) }.
% 0.41/1.06 { ! sz10 = sz00 }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.41/1.06 ( X, Y ) ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.41/1.06 ( X, Y ) ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.41/1.06 sdtpldt0( Y, X ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.06 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.41/1.06 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.41/1.06 sdtasdt0( Y, X ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.06 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.41/1.06 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.41/1.06 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.06 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.41/1.06 , Z ) ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.06 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.41/1.06 , X ) ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.06 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.06 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.41/1.06 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.41/1.06 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.41/1.06 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.41/1.06 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.41/1.06 , X = sz00 }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.41/1.06 , Y = sz00 }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.41/1.06 , X = sz00, Y = sz00 }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.41/1.06 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.41/1.06 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.06 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.41/1.06 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.41/1.06 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.41/1.06 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.41/1.06 sdtlseqdt0( Y, X ), X = Y }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.06 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.41/1.06 X }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.41/1.06 sdtlseqdt0( Y, X ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.41/1.06 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.41/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.41/1.06 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.41/1.06 ) ) }.
% 0.41/1.06 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.41/1.06 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.41/1.06 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 14.31/14.74 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 14.31/14.74 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 14.31/14.74 ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 14.31/14.74 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 14.31/14.74 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 14.31/14.74 sdtasdt0( Z, X ) ) }.
% 14.31/14.74 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 14.31/14.74 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 14.31/14.74 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 14.31/14.74 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 14.31/14.74 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 14.31/14.74 ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 14.31/14.74 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 14.31/14.74 sdtasdt0( Y, X ) ) }.
% 14.31/14.74 { && }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 14.31/14.74 ), iLess0( X, Y ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 14.31/14.74 aNaturalNumber0( skol2( Z, T ) ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 14.31/14.74 sdtasdt0( X, skol2( X, Y ) ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 14.31/14.74 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 14.31/14.74 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 14.31/14.74 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 14.31/14.74 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 14.31/14.74 ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 14.31/14.74 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 14.31/14.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 14.31/14.74 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 14.31/14.74 ) ) }.
% 14.31/14.74 { aNaturalNumber0( xl ) }.
% 14.31/14.74 { aNaturalNumber0( xm ) }.
% 14.31/14.74 { aNaturalNumber0( xn ) }.
% 14.31/14.74 { doDivides0( xl, xm ) }.
% 14.31/14.74 { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 14.31/14.74 { ! xl = sz00 }.
% 14.31/14.74 { xp = sdtsldt0( xm, xl ) }.
% 14.31/14.74 { xq = sdtsldt0( sdtpldt0( xm, xn ), xl ) }.
% 14.31/14.74 { sdtlseqdt0( xp, xq ) }.
% 14.31/14.74 { xr = sdtmndt0( xq, xp ) }.
% 14.31/14.74 { ! sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0( xl, xr ) ) = sdtpldt0( sdtasdt0
% 14.31/14.74 ( xl, xp ), xn ) }.
% 14.31/14.74
% 14.31/14.74 percentage equality = 0.303644, percentage horn = 0.760563
% 14.31/14.74 This is a problem with some equality
% 14.31/14.74
% 14.31/14.74
% 14.31/14.74
% 14.31/14.74 Options Used:
% 14.31/14.74
% 14.31/14.74 useres = 1
% 14.31/14.74 useparamod = 1
% 14.31/14.74 useeqrefl = 1
% 14.31/14.74 useeqfact = 1
% 14.31/14.74 usefactor = 1
% 14.31/14.74 usesimpsplitting = 0
% 14.31/14.74 usesimpdemod = 5
% 14.31/14.74 usesimpres = 3
% 14.31/14.74
% 14.31/14.74 resimpinuse = 1000
% 14.31/14.74 resimpclauses = 20000
% 14.31/14.74 substype = eqrewr
% 14.31/14.74 backwardsubs = 1
% 14.31/14.74 selectoldest = 5
% 14.31/14.74
% 14.31/14.74 litorderings [0] = split
% 14.31/14.74 litorderings [1] = extend the termordering, first sorting on arguments
% 14.31/14.74
% 14.31/14.74 termordering = kbo
% 14.31/14.74
% 14.31/14.74 litapriori = 0
% 14.31/14.74 termapriori = 1
% 14.31/14.74 litaposteriori = 0
% 14.31/14.74 termaposteriori = 0
% 14.31/14.74 demodaposteriori = 0
% 14.31/14.74 ordereqreflfact = 0
% 14.31/14.74
% 14.31/14.74 litselect = negord
% 14.31/14.74
% 14.31/14.74 maxweight = 15
% 14.31/14.74 maxdepth = 30000
% 14.31/14.74 maxlength = 115
% 14.31/14.74 maxnrvars = 195
% 14.31/14.74 excuselevel = 1
% 14.31/14.74 increasemaxweight = 1
% 14.31/14.74
% 14.31/14.74 maxselected = 10000000
% 14.31/14.74 maxnrclauses = 10000000
% 14.31/14.74
% 14.31/14.74 showgenerated = 0
% 14.31/14.74 showkept = 0
% 14.31/14.74 showselected = 0
% 14.31/14.74 showdeleted = 0
% 14.31/14.74 showresimp = 1
% 14.31/14.74 showstatus = 2000
% 14.31/14.74
% 14.31/14.74 prologoutput = 0
% 14.31/14.74 nrgoals = 5000000
% 14.31/14.74 totalproof = 1
% 14.31/14.74
% 14.31/14.74 Symbols occurring in the translation:
% 14.31/14.74
% 14.31/14.74 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 14.31/14.74 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 14.31/14.74 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 14.31/14.74 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 14.31/14.74 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 14.31/14.74 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 14.31/14.74 aNaturalNumber0 [36, 1] (w:1, o:22, a:1, s:1, b:0),
% 26.03/26.49 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 26.03/26.49 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 26.03/26.49 sdtpldt0 [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 26.03/26.49 sdtasdt0 [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 26.03/26.49 sdtlseqdt0 [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 26.03/26.49 sdtmndt0 [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 26.03/26.49 iLess0 [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 26.03/26.49 doDivides0 [46, 2] (w:1, o:52, a:1, s:1, b:0),
% 26.03/26.49 sdtsldt0 [47, 2] (w:1, o:53, a:1, s:1, b:0),
% 26.03/26.49 xl [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 26.03/26.49 xm [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 26.03/26.49 xn [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 26.03/26.49 xp [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 26.03/26.49 xq [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 26.03/26.49 xr [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 26.03/26.49 alpha1 [54, 3] (w:1, o:56, a:1, s:1, b:1),
% 26.03/26.49 alpha2 [55, 3] (w:1, o:57, a:1, s:1, b:1),
% 26.03/26.49 skol1 [56, 2] (w:1, o:54, a:1, s:1, b:1),
% 26.03/26.49 skol2 [57, 2] (w:1, o:55, a:1, s:1, b:1).
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Starting Search:
% 26.03/26.49
% 26.03/26.49 *** allocated 15000 integers for clauses
% 26.03/26.49 *** allocated 22500 integers for clauses
% 26.03/26.49 *** allocated 33750 integers for clauses
% 26.03/26.49 *** allocated 50625 integers for clauses
% 26.03/26.49 *** allocated 15000 integers for termspace/termends
% 26.03/26.49 *** allocated 75937 integers for clauses
% 26.03/26.49 *** allocated 22500 integers for termspace/termends
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 113905 integers for clauses
% 26.03/26.49 *** allocated 33750 integers for termspace/termends
% 26.03/26.49 *** allocated 170857 integers for clauses
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 10435
% 26.03/26.49 Kept: 2001
% 26.03/26.49 Inuse: 106
% 26.03/26.49 Deleted: 5
% 26.03/26.49 Deletedinuse: 5
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 50625 integers for termspace/termends
% 26.03/26.49 *** allocated 256285 integers for clauses
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 75937 integers for termspace/termends
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 21726
% 26.03/26.49 Kept: 4025
% 26.03/26.49 Inuse: 154
% 26.03/26.49 Deleted: 7
% 26.03/26.49 Deletedinuse: 5
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 113905 integers for termspace/termends
% 26.03/26.49 *** allocated 384427 integers for clauses
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 44460
% 26.03/26.49 Kept: 6032
% 26.03/26.49 Inuse: 198
% 26.03/26.49 Deleted: 14
% 26.03/26.49 Deletedinuse: 7
% 26.03/26.49
% 26.03/26.49 *** allocated 170857 integers for termspace/termends
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 576640 integers for clauses
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 61263
% 26.03/26.49 Kept: 8333
% 26.03/26.49 Inuse: 233
% 26.03/26.49 Deleted: 16
% 26.03/26.49 Deletedinuse: 8
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 256285 integers for termspace/termends
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 80919
% 26.03/26.49 Kept: 10408
% 26.03/26.49 Inuse: 261
% 26.03/26.49 Deleted: 23
% 26.03/26.49 Deletedinuse: 12
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 864960 integers for clauses
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 92275
% 26.03/26.49 Kept: 12518
% 26.03/26.49 Inuse: 307
% 26.03/26.49 Deleted: 28
% 26.03/26.49 Deletedinuse: 15
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 114023
% 26.03/26.49 Kept: 14565
% 26.03/26.49 Inuse: 367
% 26.03/26.49 Deleted: 43
% 26.03/26.49 Deletedinuse: 24
% 26.03/26.49
% 26.03/26.49 *** allocated 384427 integers for termspace/termends
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 139268
% 26.03/26.49 Kept: 16583
% 26.03/26.49 Inuse: 436
% 26.03/26.49 Deleted: 49
% 26.03/26.49 Deletedinuse: 25
% 26.03/26.49
% 26.03/26.49 *** allocated 1297440 integers for clauses
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 157808
% 26.03/26.49 Kept: 18592
% 26.03/26.49 Inuse: 495
% 26.03/26.49 Deleted: 57
% 26.03/26.49 Deletedinuse: 27
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying clauses:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 187658
% 26.03/26.49 Kept: 21684
% 26.03/26.49 Inuse: 531
% 26.03/26.49 Deleted: 4001
% 26.03/26.49 Deletedinuse: 27
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 222298
% 26.03/26.49 Kept: 23713
% 26.03/26.49 Inuse: 577
% 26.03/26.49 Deleted: 4012
% 26.03/26.49 Deletedinuse: 36
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 576640 integers for termspace/termends
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 255229
% 26.03/26.49 Kept: 25721
% 26.03/26.49 Inuse: 629
% 26.03/26.49 Deleted: 4016
% 26.03/26.49 Deletedinuse: 40
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 1946160 integers for clauses
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 267425
% 26.03/26.49 Kept: 27722
% 26.03/26.49 Inuse: 656
% 26.03/26.49 Deleted: 4016
% 26.03/26.49 Deletedinuse: 40
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 278763
% 26.03/26.49 Kept: 30650
% 26.03/26.49 Inuse: 679
% 26.03/26.49 Deleted: 4016
% 26.03/26.49 Deletedinuse: 40
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 285055
% 26.03/26.49 Kept: 32845
% 26.03/26.49 Inuse: 689
% 26.03/26.49 Deleted: 4016
% 26.03/26.49 Deletedinuse: 40
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 298377
% 26.03/26.49 Kept: 34853
% 26.03/26.49 Inuse: 716
% 26.03/26.49 Deleted: 4016
% 26.03/26.49 Deletedinuse: 40
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 313799
% 26.03/26.49 Kept: 37067
% 26.03/26.49 Inuse: 745
% 26.03/26.49 Deleted: 4016
% 26.03/26.49 Deletedinuse: 40
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 *** allocated 864960 integers for termspace/termends
% 26.03/26.49 *** allocated 2919240 integers for clauses
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 330829
% 26.03/26.49 Kept: 39168
% 26.03/26.49 Inuse: 784
% 26.03/26.49 Deleted: 4016
% 26.03/26.49 Deletedinuse: 40
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Intermediate Status:
% 26.03/26.49 Generated: 354033
% 26.03/26.49 Kept: 41324
% 26.03/26.49 Inuse: 830
% 26.03/26.49 Deleted: 4108
% 26.03/26.49 Deletedinuse: 132
% 26.03/26.49
% 26.03/26.49 Resimplifying inuse:
% 26.03/26.49 Done
% 26.03/26.49
% 26.03/26.49 Resimplifying clauses:
% 26.03/26.49
% 26.03/26.49 Bliksems!, er is een bewijs:
% 26.03/26.49 % SZS status Theorem
% 26.03/26.49 % SZS output start Refutation
% 26.03/26.49
% 26.03/26.49 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 26.03/26.49 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 26.03/26.49 (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 26.03/26.49 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 26.03/26.49 (16) {G0,W19,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.03/26.49 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z )
% 26.03/26.49 ) ==> sdtasdt0( X, sdtpldt0( Y, Z ) ) }.
% 26.03/26.49 (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.03/26.49 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 26.03/26.49 }.
% 26.03/26.49 (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.03/26.49 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 26.03/26.49 }.
% 26.03/26.49 (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.03/26.49 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 26.03/26.49 aNaturalNumber0( Z ) }.
% 26.03/26.49 (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.03/26.49 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 26.03/26.49 ( X, Z ) }.
% 26.03/26.49 (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 26.03/26.49 (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 26.03/26.49 (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 26.03/26.49 (63) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xm ) }.
% 26.03/26.49 (64) {G0,W5,D3,L1,V0,M1} I { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 26.03/26.49 (65) {G0,W3,D2,L1,V0,M1} I { ! xl ==> sz00 }.
% 26.03/26.49 (66) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xm, xl ) ==> xp }.
% 26.03/26.49 (67) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtpldt0( xm, xn ), xl ) ==> xq }.
% 26.03/26.49 (68) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xq ) }.
% 26.03/26.49 (69) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xq, xp ) ==> xr }.
% 26.03/26.49 (70) {G0,W13,D4,L1,V0,M1} I { ! sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0( xl
% 26.03/26.49 , xr ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.03/26.49 (200) {G1,W6,D3,L2,V1,M2} R(4,61) { ! aNaturalNumber0( X ), aNaturalNumber0
% 26.03/26.49 ( sdtpldt0( xm, X ) ) }.
% 26.03/26.49 (251) {G1,W9,D3,L2,V1,M2} R(6,61) { ! aNaturalNumber0( X ), sdtpldt0( xm, X
% 26.03/26.49 ) = sdtpldt0( X, xm ) }.
% 26.03/26.49 (2270) {G2,W4,D3,L1,V0,M1} R(200,62) { aNaturalNumber0( sdtpldt0( xm, xn )
% 26.03/26.49 ) }.
% 26.03/26.49 (3114) {G1,W9,D2,L4,V1,M4} R(28,68);d(69) { ! aNaturalNumber0( xp ), !
% 26.03/26.49 aNaturalNumber0( xq ), aNaturalNumber0( X ), ! X = xr }.
% 26.03/26.49 (3143) {G2,W6,D2,L3,V0,M3} Q(3114) { ! aNaturalNumber0( xp ), !
% 26.03/26.49 aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 26.03/26.49 (3336) {G1,W12,D3,L4,V1,M4} R(29,68);d(69) { ! aNaturalNumber0( xp ), !
% 26.03/26.49 aNaturalNumber0( xq ), sdtpldt0( xp, X ) ==> xq, ! X = xr }.
% 26.03/26.49 (3440) {G2,W9,D3,L3,V0,M3} Q(3336) { ! aNaturalNumber0( xp ), !
% 26.03/26.49 aNaturalNumber0( xq ), sdtpldt0( xp, xr ) ==> xq }.
% 26.03/26.49 (4986) {G3,W13,D3,L4,V1,M4} R(3143,6) { ! aNaturalNumber0( xp ), !
% 26.03/26.49 aNaturalNumber0( xq ), ! aNaturalNumber0( X ), sdtpldt0( xr, X ) =
% 26.03/26.49 sdtpldt0( X, xr ) }.
% 26.03/26.49 (4999) {G4,W9,D3,L3,V0,M3} F(4986);d(3440) { ! aNaturalNumber0( xp ), !
% 26.03/26.49 aNaturalNumber0( xq ), sdtpldt0( xr, xp ) ==> xq }.
% 26.03/26.49 (9265) {G1,W12,D3,L4,V1,M4} R(55,64);d(67);r(60) { ! aNaturalNumber0(
% 26.03/26.49 sdtpldt0( xm, xn ) ), xl ==> sz00, aNaturalNumber0( X ), ! X = xq }.
% 26.03/26.49 (9276) {G1,W10,D2,L4,V1,M4} R(55,63);d(66);r(60) { ! aNaturalNumber0( xm )
% 26.03/26.49 , xl ==> sz00, aNaturalNumber0( X ), ! X = xp }.
% 26.03/26.49 (9395) {G2,W5,D2,L2,V0,M2} Q(9276);r(61) { xl ==> sz00, aNaturalNumber0( xp
% 26.03/26.49 ) }.
% 26.03/26.49 (9398) {G3,W5,D2,L2,V0,M2} Q(9265);r(2270) { xl ==> sz00, aNaturalNumber0(
% 26.03/26.49 xq ) }.
% 26.03/26.49 (9607) {G1,W17,D3,L4,V1,M4} R(56,64);d(67);r(60) { ! aNaturalNumber0(
% 26.03/26.49 sdtpldt0( xm, xn ) ), xl ==> sz00, sdtpldt0( xm, xn ) = sdtasdt0( xl, X )
% 26.03/26.49 , ! X = xq }.
% 26.03/26.49 (9612) {G1,W13,D3,L4,V1,M4} R(56,63);d(66);r(60) { ! aNaturalNumber0( xm )
% 26.03/26.49 , xl ==> sz00, sdtasdt0( xl, X ) ==> xm, ! X = xp }.
% 26.03/26.49 (9859) {G2,W8,D3,L2,V0,M2} Q(9612);r(61) { xl ==> sz00, sdtasdt0( xl, xp )
% 26.03/26.49 ==> xm }.
% 26.03/26.49 (9860) {G3,W10,D3,L2,V0,M2} Q(9607);r(2270) { xl ==> sz00, sdtasdt0( xl, xq
% 26.03/26.49 ) ==> sdtpldt0( xm, xn ) }.
% 26.03/26.49 (10465) {G4,W2,D2,L1,V0,M1} S(9398);r(65) { aNaturalNumber0( xq ) }.
% 26.03/26.49 (10485) {G5,W4,D2,L2,V0,M2} R(10465,3143) { ! aNaturalNumber0( xp ),
% 26.03/26.49 aNaturalNumber0( xr ) }.
% 26.03/26.49 (10796) {G6,W11,D3,L3,V1,M3} R(10485,6) { ! aNaturalNumber0( xp ), !
% 26.03/26.49 aNaturalNumber0( X ), sdtpldt0( xr, X ) = sdtpldt0( X, xr ) }.
% 26.03/26.49 (10806) {G7,W9,D3,L2,V0,M2} F(10796) { ! aNaturalNumber0( xp ), sdtpldt0(
% 26.03/26.49 xp, xr ) ==> sdtpldt0( xr, xp ) }.
% 26.03/26.49 (11277) {G8,W15,D4,L3,V0,M3} P(16,70);d(10806);r(60) { ! aNaturalNumber0(
% 26.03/26.49 xp ), ! aNaturalNumber0( xr ), ! sdtasdt0( xl, sdtpldt0( xr, xp ) ) ==>
% 26.03/26.49 sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.03/26.49 (12278) {G3,W2,D2,L1,V0,M1} S(9395);r(65) { aNaturalNumber0( xp ) }.
% 26.03/26.49 (12293) {G6,W2,D2,L1,V0,M1} R(12278,10485) { aNaturalNumber0( xr ) }.
% 26.03/26.49 (21126) {G9,W11,D4,L1,V0,M1} S(11277);r(12278);r(12293) { ! sdtasdt0( xl,
% 26.03/26.49 sdtpldt0( xr, xp ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.03/26.49 (21192) {G4,W7,D3,L1,V0,M1} S(9860);r(65) { sdtasdt0( xl, xq ) ==> sdtpldt0
% 26.03/26.49 ( xm, xn ) }.
% 26.03/26.49 (21194) {G3,W5,D3,L1,V0,M1} S(9859);r(65) { sdtasdt0( xl, xp ) ==> xm }.
% 26.03/26.49 (21436) {G5,W5,D3,L1,V0,M1} S(4999);r(12278);r(10465) { sdtpldt0( xr, xp )
% 26.03/26.49 ==> xq }.
% 26.03/26.49 (39683) {G2,W7,D3,L1,V0,M1} R(251,62) { sdtpldt0( xm, xn ) ==> sdtpldt0( xn
% 26.03/26.49 , xm ) }.
% 26.03/26.49 (42625) {G10,W0,D0,L0,V0,M0} S(21126);d(21436);d(21192);d(39683);d(21194);d
% 26.03/26.49 (39683);q { }.
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 % SZS output end Refutation
% 26.03/26.49 found a proof!
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Unprocessed initial clauses:
% 26.03/26.49
% 26.03/26.49 (42627) {G0,W1,D1,L1,V0,M1} { && }.
% 26.03/26.49 (42628) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 26.03/26.49 (42629) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 26.03/26.49 (42630) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 26.03/26.49 (42631) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.03/26.49 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 26.03/26.49 (42632) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.03/26.49 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 26.03/26.49 (42633) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 26.03/26.49 (42634) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 26.03/26.49 X, sdtpldt0( Y, Z ) ) }.
% 26.03/26.49 (42635) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 26.03/26.49 = X }.
% 26.03/26.49 (42636) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 26.03/26.49 X ) }.
% 26.03/26.49 (42637) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 26.03/26.49 (42638) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 26.03/26.49 X, sdtasdt0( Y, Z ) ) }.
% 26.03/26.49 (42639) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 26.03/26.49 = X }.
% 26.03/26.49 (42640) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 26.03/26.49 X ) }.
% 26.03/26.49 (42641) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 26.03/26.49 = sz00 }.
% 26.03/26.49 (42642) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 26.03/26.49 sz00, X ) }.
% 26.03/26.49 (42643) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 26.03/26.49 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 26.03/26.49 (42644) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 26.03/26.49 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 26.03/26.49 (42645) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 26.03/26.49 }.
% 26.03/26.49 (42646) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 26.03/26.49 }.
% 26.03/26.49 (42647) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 26.03/26.49 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 26.03/26.49 sdtasdt0( X, Z ), Y = Z }.
% 26.03/26.49 (42648) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 26.03/26.49 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 26.03/26.49 sdtasdt0( Z, X ), Y = Z }.
% 26.03/26.49 (42649) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 26.03/26.49 (42650) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 26.03/26.49 (42651) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 26.03/26.49 (42652) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 26.03/26.49 (42653) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 26.03/26.49 (42654) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 26.03/26.49 }.
% 26.03/26.49 (42655) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 26.03/26.49 }.
% 26.03/26.49 (42656) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 26.03/26.49 }.
% 26.03/26.49 (42657) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 26.03/26.49 , Z = sdtmndt0( Y, X ) }.
% 26.03/26.49 (42658) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 26.03/26.49 }.
% 26.03/26.49 (42659) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 26.03/26.49 (42660) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 26.03/26.49 sdtlseqdt0( X, Z ) }.
% 26.03/26.49 (42661) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 26.03/26.49 (42662) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 26.03/26.49 (42663) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 26.03/26.49 ) }.
% 26.03/26.49 (42664) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 26.03/26.49 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 26.03/26.49 (42665) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 26.03/26.49 sdtpldt0( Z, Y ) }.
% 26.03/26.49 (42666) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 26.03/26.49 Z, X ), sdtpldt0( Z, Y ) ) }.
% 26.03/26.49 (42667) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 26.03/26.49 sdtpldt0( Y, Z ) }.
% 26.03/26.49 (42668) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 26.03/26.49 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 26.03/26.49 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 26.03/26.49 (42669) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 26.03/26.49 alpha2( X, Y, Z ) }.
% 26.03/26.49 (42670) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 26.03/26.49 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 26.03/26.49 (42671) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 26.03/26.49 sdtasdt0( X, Z ) }.
% 26.03/26.49 (42672) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 26.03/26.49 X, Y ), sdtasdt0( X, Z ) ) }.
% 26.03/26.49 (42673) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 26.03/26.49 sdtasdt0( Z, X ) }.
% 26.03/26.49 (42674) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 26.03/26.49 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 26.03/26.49 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 26.03/26.49 (42675) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 26.03/26.49 , ! sz10 = X }.
% 26.03/26.49 (42676) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 26.03/26.49 , sdtlseqdt0( sz10, X ) }.
% 26.03/26.49 (42677) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 26.03/26.49 (42678) {G0,W1,D1,L1,V0,M1} { && }.
% 26.03/26.49 (42679) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 26.03/26.49 (42680) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 26.03/26.49 (42681) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 26.03/26.49 (42682) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 26.03/26.49 }.
% 26.03/26.49 (42683) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 26.03/26.49 aNaturalNumber0( Z ) }.
% 26.03/26.49 (42684) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 26.03/26.49 ( X, Z ) }.
% 26.03/26.49 (42685) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 26.03/26.49 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 26.03/26.49 (42686) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 26.03/26.49 doDivides0( X, Z ) }.
% 26.03/26.49 (42687) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.03/26.49 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 26.03/26.49 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 26.03/26.49 (42688) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 26.03/26.49 (42689) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 26.03/26.49 (42690) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 26.03/26.49 (42691) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 26.03/26.49 (42692) {G0,W5,D3,L1,V0,M1} { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 26.03/26.49 (42693) {G0,W3,D2,L1,V0,M1} { ! xl = sz00 }.
% 26.03/26.49 (42694) {G0,W5,D3,L1,V0,M1} { xp = sdtsldt0( xm, xl ) }.
% 26.03/26.49 (42695) {G0,W7,D4,L1,V0,M1} { xq = sdtsldt0( sdtpldt0( xm, xn ), xl ) }.
% 26.03/26.49 (42696) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xq ) }.
% 26.03/26.49 (42697) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xq, xp ) }.
% 26.03/26.49 (42698) {G0,W13,D4,L1,V0,M1} { ! sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0(
% 26.03/26.49 xl, xr ) ) = sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.03/26.49
% 26.03/26.49
% 26.03/26.49 Total Proof:
% 26.03/26.49
% 26.03/26.49 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 26.03/26.49 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 26.03/26.49 parent0: (42631) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 26.03/26.49 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 26.03/26.49 substitution0:
% 26.03/26.49 X := X
% 26.03/26.49 Y := Y
% 26.03/26.49 end
% 26.03/26.49 permutation0:
% 26.03/26.49 0 ==> 0
% 26.03/26.49 1 ==> 1
% 26.03/26.49 2 ==> 2
% 26.03/26.49 end
% 26.03/26.49
% 26.03/26.49 subsumption: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 26.03/26.49 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 26.03/26.49 parent0: (42633) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 26.03/26.49 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 26.03/26.49 substitution0:
% 26.03/26.49 X := X
% 26.03/26.49 Y := Y
% 26.03/26.49 end
% 26.03/26.49 permutation0:
% 26.03/26.49 0 ==> 0
% 26.03/26.49 1 ==> 1
% 26.03/26.49 2 ==> 2
% 26.03/26.49 end
% 26.03/26.49
% 26.03/26.49 eqswap: (42734) {G0,W19,D4,L4,V3,M4} { sdtpldt0( sdtasdt0( X, Y ),
% 26.03/26.49 sdtasdt0( X, Z ) ) = sdtasdt0( X, sdtpldt0( Y, Z ) ), ! aNaturalNumber0(
% 26.03/26.49 X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 26.03/26.49 parent0[3]: (42643) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 26.03/26.49 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z
% 26.03/26.49 ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (16) {G0,W19,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtasdt0( X, Y )
% 26.12/26.51 , sdtasdt0( X, Z ) ) ==> sdtasdt0( X, sdtpldt0( Y, Z ) ) }.
% 26.12/26.51 parent0: (42734) {G0,W19,D4,L4,V3,M4} { sdtpldt0( sdtasdt0( X, Y ),
% 26.12/26.51 sdtasdt0( X, Z ) ) = sdtasdt0( X, sdtpldt0( Y, Z ) ), ! aNaturalNumber0(
% 26.12/26.51 X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 3
% 26.12/26.51 1 ==> 0
% 26.12/26.51 2 ==> 1
% 26.12/26.51 3 ==> 2
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 26.12/26.51 aNaturalNumber0( Z ) }.
% 26.12/26.51 parent0: (42655) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 26.12/26.51 aNaturalNumber0( Z ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 2 ==> 2
% 26.12/26.51 3 ==> 3
% 26.12/26.51 4 ==> 4
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 26.12/26.51 sdtpldt0( X, Z ) = Y }.
% 26.12/26.51 parent0: (42656) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 26.12/26.51 sdtpldt0( X, Z ) = Y }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 2 ==> 2
% 26.12/26.51 3 ==> 3
% 26.12/26.51 4 ==> 4
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.12/26.51 X ), aNaturalNumber0( Z ) }.
% 26.12/26.51 parent0: (42683) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.12/26.51 X ), aNaturalNumber0( Z ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 2 ==> 2
% 26.12/26.51 3 ==> 3
% 26.12/26.51 4 ==> 4
% 26.12/26.51 5 ==> 5
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.12/26.51 X ), Y = sdtasdt0( X, Z ) }.
% 26.12/26.51 parent0: (42684) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.12/26.51 X ), Y = sdtasdt0( X, Z ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 2 ==> 2
% 26.12/26.51 3 ==> 3
% 26.12/26.51 4 ==> 4
% 26.12/26.51 5 ==> 5
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 26.12/26.51 parent0: (42688) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 26.12/26.51 parent0: (42689) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 26.12/26.51 parent0: (42690) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (63) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xm ) }.
% 26.12/26.51 parent0: (42691) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (64) {G0,W5,D3,L1,V0,M1} I { doDivides0( xl, sdtpldt0( xm, xn
% 26.12/26.51 ) ) }.
% 26.12/26.51 parent0: (42692) {G0,W5,D3,L1,V0,M1} { doDivides0( xl, sdtpldt0( xm, xn )
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (65) {G0,W3,D2,L1,V0,M1} I { ! xl ==> sz00 }.
% 26.12/26.51 parent0: (42693) {G0,W3,D2,L1,V0,M1} { ! xl = sz00 }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (46315) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xm, xl ) = xp }.
% 26.12/26.51 parent0[0]: (42694) {G0,W5,D3,L1,V0,M1} { xp = sdtsldt0( xm, xl ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (66) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xm, xl ) ==> xp }.
% 26.12/26.51 parent0: (46315) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xm, xl ) = xp }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (46692) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtpldt0( xm, xn ), xl ) =
% 26.12/26.51 xq }.
% 26.12/26.51 parent0[0]: (42695) {G0,W7,D4,L1,V0,M1} { xq = sdtsldt0( sdtpldt0( xm, xn
% 26.12/26.51 ), xl ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (67) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtpldt0( xm, xn ), xl
% 26.12/26.51 ) ==> xq }.
% 26.12/26.51 parent0: (46692) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtpldt0( xm, xn ), xl )
% 26.12/26.51 = xq }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (68) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xq ) }.
% 26.12/26.51 parent0: (42696) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47447) {G0,W5,D3,L1,V0,M1} { sdtmndt0( xq, xp ) = xr }.
% 26.12/26.51 parent0[0]: (42697) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xq, xp ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (69) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xq, xp ) ==> xr }.
% 26.12/26.51 parent0: (47447) {G0,W5,D3,L1,V0,M1} { sdtmndt0( xq, xp ) = xr }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (70) {G0,W13,D4,L1,V0,M1} I { ! sdtpldt0( sdtasdt0( xl, xp ),
% 26.12/26.51 sdtasdt0( xl, xr ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.51 parent0: (42698) {G0,W13,D4,L1,V0,M1} { ! sdtpldt0( sdtasdt0( xl, xp ),
% 26.12/26.51 sdtasdt0( xl, xr ) ) = sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47827) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 26.12/26.51 parent0[0]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 26.12/26.51 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xm
% 26.12/26.51 Y := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (200) {G1,W6,D3,L2,V1,M2} R(4,61) { ! aNaturalNumber0( X ),
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 26.12/26.51 parent0: (47827) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47829) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0
% 26.12/26.51 ( xm, X ) = sdtpldt0( X, xm ) }.
% 26.12/26.51 parent0[0]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 26.12/26.51 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xm
% 26.12/26.51 Y := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (251) {G1,W9,D3,L2,V1,M2} R(6,61) { ! aNaturalNumber0( X ),
% 26.12/26.51 sdtpldt0( xm, X ) = sdtpldt0( X, xm ) }.
% 26.12/26.51 parent0: (47829) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0(
% 26.12/26.51 xm, X ) = sdtpldt0( X, xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47831) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( xm,
% 26.12/26.51 xn ) ) }.
% 26.12/26.51 parent0[0]: (200) {G1,W6,D3,L2,V1,M2} R(4,61) { ! aNaturalNumber0( X ),
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 26.12/26.51 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xn
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (2270) {G2,W4,D3,L1,V0,M1} R(200,62) { aNaturalNumber0(
% 26.12/26.51 sdtpldt0( xm, xn ) ) }.
% 26.12/26.51 parent0: (47831) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( xm, xn )
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47832) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 26.12/26.51 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 26.12/26.51 aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 26.12/26.51 aNaturalNumber0( Z ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := Z
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47834) {G1,W11,D3,L4,V1,M4} { ! sdtmndt0( xq, xp ) = X, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[3]: (47832) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 26.12/26.51 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 26.12/26.51 aNaturalNumber0( X ) }.
% 26.12/26.51 parent1[0]: (68) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := xq
% 26.12/26.51 Z := xp
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 paramod: (47835) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp ),
% 26.12/26.51 ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[0]: (69) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xq, xp ) ==> xr }.
% 26.12/26.51 parent1[0; 2]: (47834) {G1,W11,D3,L4,V1,M4} { ! sdtmndt0( xq, xp ) = X, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47836) {G1,W9,D2,L4,V1,M4} { ! X = xr, ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[0]: (47835) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp
% 26.12/26.51 ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (3114) {G1,W9,D2,L4,V1,M4} R(28,68);d(69) { ! aNaturalNumber0
% 26.12/26.51 ( xp ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ), ! X = xr }.
% 26.12/26.51 parent0: (47836) {G1,W9,D2,L4,V1,M4} { ! X = xr, ! aNaturalNumber0( xp ),
% 26.12/26.51 ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 3
% 26.12/26.51 1 ==> 0
% 26.12/26.51 2 ==> 1
% 26.12/26.51 3 ==> 2
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47837) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[3]: (3114) {G1,W9,D2,L4,V1,M4} R(28,68);d(69) { ! aNaturalNumber0(
% 26.12/26.51 xp ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ), ! X = xr }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqrefl: (47838) {G0,W6,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 26.12/26.51 parent0[0]: (47837) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp
% 26.12/26.51 ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xr
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (3143) {G2,W6,D2,L3,V0,M3} Q(3114) { ! aNaturalNumber0( xp ),
% 26.12/26.51 ! aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 26.12/26.51 parent0: (47838) {G0,W6,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 2 ==> 2
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47839) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 26.12/26.51 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 26.12/26.51 sdtpldt0( Z, X ) = Y }.
% 26.12/26.51 parent0[3]: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 26.12/26.51 sdtpldt0( X, Z ) = Y }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := Z
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47843) {G1,W14,D3,L4,V1,M4} { ! sdtmndt0( xq, xp ) = X, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), sdtpldt0( xp, X ) = xq
% 26.12/26.51 }.
% 26.12/26.51 parent0[3]: (47839) {G0,W17,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 26.12/26.51 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 26.12/26.51 sdtpldt0( Z, X ) = Y }.
% 26.12/26.51 parent1[0]: (68) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := xq
% 26.12/26.51 Z := xp
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 paramod: (47844) {G1,W12,D3,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp )
% 26.12/26.51 , ! aNaturalNumber0( xq ), sdtpldt0( xp, X ) = xq }.
% 26.12/26.51 parent0[0]: (69) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xq, xp ) ==> xr }.
% 26.12/26.51 parent1[0; 2]: (47843) {G1,W14,D3,L4,V1,M4} { ! sdtmndt0( xq, xp ) = X, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), sdtpldt0( xp, X ) = xq
% 26.12/26.51 }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47845) {G1,W12,D3,L4,V1,M4} { ! X = xr, ! aNaturalNumber0( xp ),
% 26.12/26.51 ! aNaturalNumber0( xq ), sdtpldt0( xp, X ) = xq }.
% 26.12/26.51 parent0[0]: (47844) {G1,W12,D3,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp
% 26.12/26.51 ), ! aNaturalNumber0( xq ), sdtpldt0( xp, X ) = xq }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (3336) {G1,W12,D3,L4,V1,M4} R(29,68);d(69) { ! aNaturalNumber0
% 26.12/26.51 ( xp ), ! aNaturalNumber0( xq ), sdtpldt0( xp, X ) ==> xq, ! X = xr }.
% 26.12/26.51 parent0: (47845) {G1,W12,D3,L4,V1,M4} { ! X = xr, ! aNaturalNumber0( xp )
% 26.12/26.51 , ! aNaturalNumber0( xq ), sdtpldt0( xp, X ) = xq }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 3
% 26.12/26.51 1 ==> 0
% 26.12/26.51 2 ==> 1
% 26.12/26.51 3 ==> 2
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47848) {G1,W12,D3,L4,V1,M4} { xq ==> sdtpldt0( xp, X ), !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), ! X = xr }.
% 26.12/26.51 parent0[2]: (3336) {G1,W12,D3,L4,V1,M4} R(29,68);d(69) { ! aNaturalNumber0
% 26.12/26.51 ( xp ), ! aNaturalNumber0( xq ), sdtpldt0( xp, X ) ==> xq, ! X = xr }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqrefl: (47851) {G0,W9,D3,L3,V0,M3} { xq ==> sdtpldt0( xp, xr ), !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ) }.
% 26.12/26.51 parent0[3]: (47848) {G1,W12,D3,L4,V1,M4} { xq ==> sdtpldt0( xp, X ), !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), ! X = xr }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xr
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47852) {G0,W9,D3,L3,V0,M3} { sdtpldt0( xp, xr ) ==> xq, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ) }.
% 26.12/26.51 parent0[0]: (47851) {G0,W9,D3,L3,V0,M3} { xq ==> sdtpldt0( xp, xr ), !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (3440) {G2,W9,D3,L3,V0,M3} Q(3336) { ! aNaturalNumber0( xp ),
% 26.12/26.51 ! aNaturalNumber0( xq ), sdtpldt0( xp, xr ) ==> xq }.
% 26.12/26.51 parent0: (47852) {G0,W9,D3,L3,V0,M3} { sdtpldt0( xp, xr ) ==> xq, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 2
% 26.12/26.51 1 ==> 0
% 26.12/26.51 2 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47853) {G1,W13,D3,L4,V1,M4} { ! aNaturalNumber0( X ),
% 26.12/26.51 sdtpldt0( xr, X ) = sdtpldt0( X, xr ), ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ) }.
% 26.12/26.51 parent0[0]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 26.12/26.51 parent1[2]: (3143) {G2,W6,D2,L3,V0,M3} Q(3114) { ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xr
% 26.12/26.51 Y := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (4986) {G3,W13,D3,L4,V1,M4} R(3143,6) { ! aNaturalNumber0( xp
% 26.12/26.51 ), ! aNaturalNumber0( xq ), ! aNaturalNumber0( X ), sdtpldt0( xr, X ) =
% 26.12/26.51 sdtpldt0( X, xr ) }.
% 26.12/26.51 parent0: (47853) {G1,W13,D3,L4,V1,M4} { ! aNaturalNumber0( X ), sdtpldt0(
% 26.12/26.51 xr, X ) = sdtpldt0( X, xr ), ! aNaturalNumber0( xp ), ! aNaturalNumber0(
% 26.12/26.51 xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 2
% 26.12/26.51 1 ==> 3
% 26.12/26.51 2 ==> 0
% 26.12/26.51 3 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 factor: (47863) {G3,W11,D3,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ), sdtpldt0( xr, xp ) = sdtpldt0( xp, xr ) }.
% 26.12/26.51 parent0[0, 2]: (4986) {G3,W13,D3,L4,V1,M4} R(3143,6) { ! aNaturalNumber0(
% 26.12/26.51 xp ), ! aNaturalNumber0( xq ), ! aNaturalNumber0( X ), sdtpldt0( xr, X )
% 26.12/26.51 = sdtpldt0( X, xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xp
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 paramod: (47865) {G3,W13,D3,L5,V0,M5} { sdtpldt0( xr, xp ) = xq, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), ! aNaturalNumber0( xp ),
% 26.12/26.51 ! aNaturalNumber0( xq ) }.
% 26.12/26.51 parent0[2]: (3440) {G2,W9,D3,L3,V0,M3} Q(3336) { ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ), sdtpldt0( xp, xr ) ==> xq }.
% 26.12/26.51 parent1[2; 4]: (47863) {G3,W11,D3,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ), sdtpldt0( xr, xp ) = sdtpldt0( xp, xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 factor: (47869) {G3,W11,D3,L4,V0,M4} { sdtpldt0( xr, xp ) = xq, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), ! aNaturalNumber0( xq )
% 26.12/26.51 }.
% 26.12/26.51 parent0[1, 3]: (47865) {G3,W13,D3,L5,V0,M5} { sdtpldt0( xr, xp ) = xq, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), ! aNaturalNumber0( xp ),
% 26.12/26.51 ! aNaturalNumber0( xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 factor: (47870) {G3,W9,D3,L3,V0,M3} { sdtpldt0( xr, xp ) = xq, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ) }.
% 26.12/26.51 parent0[2, 3]: (47869) {G3,W11,D3,L4,V0,M4} { sdtpldt0( xr, xp ) = xq, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), ! aNaturalNumber0( xq )
% 26.12/26.51 }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (4999) {G4,W9,D3,L3,V0,M3} F(4986);d(3440) { ! aNaturalNumber0
% 26.12/26.51 ( xp ), ! aNaturalNumber0( xq ), sdtpldt0( xr, xp ) ==> xq }.
% 26.12/26.51 parent0: (47870) {G3,W9,D3,L3,V0,M3} { sdtpldt0( xr, xp ) = xq, !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 2
% 26.12/26.51 1 ==> 0
% 26.12/26.51 2 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47871) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 26.12/26.51 aNaturalNumber0( Z ) }.
% 26.12/26.51 parent0[2]: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.12/26.51 X ), aNaturalNumber0( Z ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47875) {G1,W18,D4,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0(
% 26.12/26.51 xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! X = sdtsldt0( sdtpldt0(
% 26.12/26.51 xm, xn ), xl ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[3]: (47871) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 26.12/26.51 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 26.12/26.51 , aNaturalNumber0( Z ) }.
% 26.12/26.51 parent1[0]: (64) {G0,W5,D3,L1,V0,M1} I { doDivides0( xl, sdtpldt0( xm, xn )
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xl
% 26.12/26.51 Y := sdtpldt0( xm, xn )
% 26.12/26.51 Z := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 paramod: (47876) {G1,W14,D3,L5,V1,M5} { ! X = xq, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ),
% 26.12/26.51 aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[0]: (67) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtpldt0( xm, xn ), xl )
% 26.12/26.51 ==> xq }.
% 26.12/26.51 parent1[3; 3]: (47875) {G1,W18,D4,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0
% 26.12/26.51 ( xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! X = sdtsldt0( sdtpldt0
% 26.12/26.51 ( xm, xn ), xl ), aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47877) {G1,W12,D3,L4,V1,M4} { ! X = xq, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[2]: (47876) {G1,W14,D3,L5,V1,M5} { ! X = xq, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ),
% 26.12/26.51 aNaturalNumber0( X ) }.
% 26.12/26.51 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47879) {G1,W12,D3,L4,V1,M4} { xl = sz00, ! X = xq, !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[1]: (47877) {G1,W12,D3,L4,V1,M4} { ! X = xq, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (9265) {G1,W12,D3,L4,V1,M4} R(55,64);d(67);r(60) { !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), xl ==> sz00, aNaturalNumber0( X )
% 26.12/26.51 , ! X = xq }.
% 26.12/26.51 parent0: (47879) {G1,W12,D3,L4,V1,M4} { xl = sz00, ! X = xq, !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 1
% 26.12/26.51 1 ==> 3
% 26.12/26.51 2 ==> 0
% 26.12/26.51 3 ==> 2
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47881) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 26.12/26.51 aNaturalNumber0( Z ) }.
% 26.12/26.51 parent0[2]: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.12/26.51 X ), aNaturalNumber0( Z ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47885) {G1,W14,D3,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0(
% 26.12/26.51 xl ), ! aNaturalNumber0( xm ), ! X = sdtsldt0( xm, xl ), aNaturalNumber0
% 26.12/26.51 ( X ) }.
% 26.12/26.51 parent0[3]: (47881) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 26.12/26.51 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 26.12/26.51 , aNaturalNumber0( Z ) }.
% 26.12/26.51 parent1[0]: (63) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xl
% 26.12/26.51 Y := xm
% 26.12/26.51 Z := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 paramod: (47886) {G1,W12,D2,L5,V1,M5} { ! X = xp, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[0]: (66) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xm, xl ) ==> xp }.
% 26.12/26.51 parent1[3; 3]: (47885) {G1,W14,D3,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0
% 26.12/26.51 ( xl ), ! aNaturalNumber0( xm ), ! X = sdtsldt0( xm, xl ),
% 26.12/26.51 aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47887) {G1,W10,D2,L4,V1,M4} { ! X = xp, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[2]: (47886) {G1,W12,D2,L5,V1,M5} { ! X = xp, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47889) {G1,W10,D2,L4,V1,M4} { xl = sz00, ! X = xp, !
% 26.12/26.51 aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[1]: (47887) {G1,W10,D2,L4,V1,M4} { ! X = xp, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (9276) {G1,W10,D2,L4,V1,M4} R(55,63);d(66);r(60) { !
% 26.12/26.51 aNaturalNumber0( xm ), xl ==> sz00, aNaturalNumber0( X ), ! X = xp }.
% 26.12/26.51 parent0: (47889) {G1,W10,D2,L4,V1,M4} { xl = sz00, ! X = xp, !
% 26.12/26.51 aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 1
% 26.12/26.51 1 ==> 3
% 26.12/26.51 2 ==> 0
% 26.12/26.51 3 ==> 2
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47891) {G1,W10,D2,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0( xm
% 26.12/26.51 ), aNaturalNumber0( X ), ! X = xp }.
% 26.12/26.51 parent0[1]: (9276) {G1,W10,D2,L4,V1,M4} R(55,63);d(66);r(60) { !
% 26.12/26.51 aNaturalNumber0( xm ), xl ==> sz00, aNaturalNumber0( X ), ! X = xp }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqrefl: (47894) {G0,W7,D2,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0( xm )
% 26.12/26.51 , aNaturalNumber0( xp ) }.
% 26.12/26.51 parent0[3]: (47891) {G1,W10,D2,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0
% 26.12/26.51 ( xm ), aNaturalNumber0( X ), ! X = xp }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xp
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47895) {G1,W5,D2,L2,V0,M2} { sz00 ==> xl, aNaturalNumber0( xp
% 26.12/26.51 ) }.
% 26.12/26.51 parent0[1]: (47894) {G0,W7,D2,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0(
% 26.12/26.51 xm ), aNaturalNumber0( xp ) }.
% 26.12/26.51 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47896) {G1,W5,D2,L2,V0,M2} { xl ==> sz00, aNaturalNumber0( xp )
% 26.12/26.51 }.
% 26.12/26.51 parent0[0]: (47895) {G1,W5,D2,L2,V0,M2} { sz00 ==> xl, aNaturalNumber0( xp
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (9395) {G2,W5,D2,L2,V0,M2} Q(9276);r(61) { xl ==> sz00,
% 26.12/26.51 aNaturalNumber0( xp ) }.
% 26.12/26.51 parent0: (47896) {G1,W5,D2,L2,V0,M2} { xl ==> sz00, aNaturalNumber0( xp )
% 26.12/26.51 }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47897) {G1,W12,D3,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0(
% 26.12/26.51 sdtpldt0( xm, xn ) ), aNaturalNumber0( X ), ! X = xq }.
% 26.12/26.51 parent0[1]: (9265) {G1,W12,D3,L4,V1,M4} R(55,64);d(67);r(60) { !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), xl ==> sz00, aNaturalNumber0( X )
% 26.12/26.51 , ! X = xq }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqrefl: (47900) {G0,W9,D3,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0(
% 26.12/26.51 sdtpldt0( xm, xn ) ), aNaturalNumber0( xq ) }.
% 26.12/26.51 parent0[3]: (47897) {G1,W12,D3,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0
% 26.12/26.51 ( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ), ! X = xq }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xq
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47901) {G1,W5,D2,L2,V0,M2} { sz00 ==> xl, aNaturalNumber0( xq
% 26.12/26.51 ) }.
% 26.12/26.51 parent0[1]: (47900) {G0,W9,D3,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0(
% 26.12/26.51 sdtpldt0( xm, xn ) ), aNaturalNumber0( xq ) }.
% 26.12/26.51 parent1[0]: (2270) {G2,W4,D3,L1,V0,M1} R(200,62) { aNaturalNumber0(
% 26.12/26.51 sdtpldt0( xm, xn ) ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47902) {G1,W5,D2,L2,V0,M2} { xl ==> sz00, aNaturalNumber0( xq )
% 26.12/26.51 }.
% 26.12/26.51 parent0[0]: (47901) {G1,W5,D2,L2,V0,M2} { sz00 ==> xl, aNaturalNumber0( xq
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (9398) {G3,W5,D2,L2,V0,M2} Q(9265);r(2270) { xl ==> sz00,
% 26.12/26.51 aNaturalNumber0( xq ) }.
% 26.12/26.51 parent0: (47902) {G1,W5,D2,L2,V0,M2} { xl ==> sz00, aNaturalNumber0( xq )
% 26.12/26.51 }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47903) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y =
% 26.12/26.51 sdtasdt0( X, Z ) }.
% 26.12/26.51 parent0[2]: (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.12/26.51 X ), Y = sdtasdt0( X, Z ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47911) {G1,W23,D4,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0(
% 26.12/26.51 xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! X = sdtsldt0( sdtpldt0(
% 26.12/26.51 xm, xn ), xl ), sdtpldt0( xm, xn ) = sdtasdt0( xl, X ) }.
% 26.12/26.51 parent0[3]: (47903) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 26.12/26.51 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 26.12/26.51 , Y = sdtasdt0( X, Z ) }.
% 26.12/26.51 parent1[0]: (64) {G0,W5,D3,L1,V0,M1} I { doDivides0( xl, sdtpldt0( xm, xn )
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xl
% 26.12/26.51 Y := sdtpldt0( xm, xn )
% 26.12/26.51 Z := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 paramod: (47912) {G1,W19,D3,L5,V1,M5} { ! X = xq, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), sdtpldt0
% 26.12/26.51 ( xm, xn ) = sdtasdt0( xl, X ) }.
% 26.12/26.51 parent0[0]: (67) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtpldt0( xm, xn ), xl )
% 26.12/26.51 ==> xq }.
% 26.12/26.51 parent1[3; 3]: (47911) {G1,W23,D4,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0
% 26.12/26.51 ( xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! X = sdtsldt0( sdtpldt0
% 26.12/26.51 ( xm, xn ), xl ), sdtpldt0( xm, xn ) = sdtasdt0( xl, X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47913) {G1,W17,D3,L4,V1,M4} { ! X = xq, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), sdtpldt0( xm, xn ) = sdtasdt0( xl
% 26.12/26.51 , X ) }.
% 26.12/26.51 parent0[2]: (47912) {G1,W19,D3,L5,V1,M5} { ! X = xq, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), sdtpldt0
% 26.12/26.51 ( xm, xn ) = sdtasdt0( xl, X ) }.
% 26.12/26.51 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47915) {G1,W17,D3,L4,V1,M4} { xl = sz00, ! X = xq, !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), sdtpldt0( xm, xn ) = sdtasdt0( xl
% 26.12/26.51 , X ) }.
% 26.12/26.51 parent0[1]: (47913) {G1,W17,D3,L4,V1,M4} { ! X = xq, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), sdtpldt0( xm, xn ) = sdtasdt0( xl
% 26.12/26.51 , X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (9607) {G1,W17,D3,L4,V1,M4} R(56,64);d(67);r(60) { !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), xl ==> sz00, sdtpldt0( xm, xn ) =
% 26.12/26.51 sdtasdt0( xl, X ), ! X = xq }.
% 26.12/26.51 parent0: (47915) {G1,W17,D3,L4,V1,M4} { xl = sz00, ! X = xq, !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), sdtpldt0( xm, xn ) = sdtasdt0( xl
% 26.12/26.51 , X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 1
% 26.12/26.51 1 ==> 3
% 26.12/26.51 2 ==> 0
% 26.12/26.51 3 ==> 2
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47921) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y =
% 26.12/26.51 sdtasdt0( X, Z ) }.
% 26.12/26.51 parent0[2]: (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.12/26.51 X ), Y = sdtasdt0( X, Z ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 Y := Y
% 26.12/26.51 Z := Z
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47929) {G1,W17,D3,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0(
% 26.12/26.51 xl ), ! aNaturalNumber0( xm ), ! X = sdtsldt0( xm, xl ), xm = sdtasdt0(
% 26.12/26.51 xl, X ) }.
% 26.12/26.51 parent0[3]: (47921) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 26.12/26.51 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 26.12/26.51 , Y = sdtasdt0( X, Z ) }.
% 26.12/26.51 parent1[0]: (63) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xl
% 26.12/26.51 Y := xm
% 26.12/26.51 Z := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 paramod: (47930) {G1,W15,D3,L5,V1,M5} { ! X = xp, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( xm ), xm = sdtasdt0( xl, X )
% 26.12/26.51 }.
% 26.12/26.51 parent0[0]: (66) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xm, xl ) ==> xp }.
% 26.12/26.51 parent1[3; 3]: (47929) {G1,W17,D3,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0
% 26.12/26.51 ( xl ), ! aNaturalNumber0( xm ), ! X = sdtsldt0( xm, xl ), xm = sdtasdt0
% 26.12/26.51 ( xl, X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47931) {G1,W13,D3,L4,V1,M4} { ! X = xp, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xm ), xm = sdtasdt0( xl, X ) }.
% 26.12/26.51 parent0[2]: (47930) {G1,W15,D3,L5,V1,M5} { ! X = xp, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( xm ), xm = sdtasdt0( xl, X )
% 26.12/26.51 }.
% 26.12/26.51 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47934) {G1,W13,D3,L4,V1,M4} { sdtasdt0( xl, X ) = xm, ! X = xp,
% 26.12/26.51 sz00 = xl, ! aNaturalNumber0( xm ) }.
% 26.12/26.51 parent0[3]: (47931) {G1,W13,D3,L4,V1,M4} { ! X = xp, sz00 = xl, !
% 26.12/26.51 aNaturalNumber0( xm ), xm = sdtasdt0( xl, X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47936) {G1,W13,D3,L4,V1,M4} { xl = sz00, sdtasdt0( xl, X ) = xm,
% 26.12/26.51 ! X = xp, ! aNaturalNumber0( xm ) }.
% 26.12/26.51 parent0[2]: (47934) {G1,W13,D3,L4,V1,M4} { sdtasdt0( xl, X ) = xm, ! X =
% 26.12/26.51 xp, sz00 = xl, ! aNaturalNumber0( xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (9612) {G1,W13,D3,L4,V1,M4} R(56,63);d(66);r(60) { !
% 26.12/26.51 aNaturalNumber0( xm ), xl ==> sz00, sdtasdt0( xl, X ) ==> xm, ! X = xp
% 26.12/26.51 }.
% 26.12/26.51 parent0: (47936) {G1,W13,D3,L4,V1,M4} { xl = sz00, sdtasdt0( xl, X ) = xm
% 26.12/26.51 , ! X = xp, ! aNaturalNumber0( xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 1
% 26.12/26.51 1 ==> 2
% 26.12/26.51 2 ==> 3
% 26.12/26.51 3 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47939) {G1,W13,D3,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0( xm
% 26.12/26.51 ), sdtasdt0( xl, X ) ==> xm, ! X = xp }.
% 26.12/26.51 parent0[1]: (9612) {G1,W13,D3,L4,V1,M4} R(56,63);d(66);r(60) { !
% 26.12/26.51 aNaturalNumber0( xm ), xl ==> sz00, sdtasdt0( xl, X ) ==> xm, ! X = xp
% 26.12/26.51 }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqrefl: (47946) {G0,W10,D3,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0( xm
% 26.12/26.51 ), sdtasdt0( xl, xp ) ==> xm }.
% 26.12/26.51 parent0[3]: (47939) {G1,W13,D3,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0
% 26.12/26.51 ( xm ), sdtasdt0( xl, X ) ==> xm, ! X = xp }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xp
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47947) {G1,W8,D3,L2,V0,M2} { sz00 ==> xl, sdtasdt0( xl, xp )
% 26.12/26.51 ==> xm }.
% 26.12/26.51 parent0[1]: (47946) {G0,W10,D3,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0
% 26.12/26.51 ( xm ), sdtasdt0( xl, xp ) ==> xm }.
% 26.12/26.51 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47948) {G1,W8,D3,L2,V0,M2} { xl ==> sz00, sdtasdt0( xl, xp ) ==>
% 26.12/26.51 xm }.
% 26.12/26.51 parent0[0]: (47947) {G1,W8,D3,L2,V0,M2} { sz00 ==> xl, sdtasdt0( xl, xp )
% 26.12/26.51 ==> xm }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (9859) {G2,W8,D3,L2,V0,M2} Q(9612);r(61) { xl ==> sz00,
% 26.12/26.51 sdtasdt0( xl, xp ) ==> xm }.
% 26.12/26.51 parent0: (47948) {G1,W8,D3,L2,V0,M2} { xl ==> sz00, sdtasdt0( xl, xp ) ==>
% 26.12/26.51 xm }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47951) {G1,W17,D3,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0(
% 26.12/26.51 sdtpldt0( xm, xn ) ), sdtpldt0( xm, xn ) = sdtasdt0( xl, X ), ! X = xq
% 26.12/26.51 }.
% 26.12/26.51 parent0[1]: (9607) {G1,W17,D3,L4,V1,M4} R(56,64);d(67);r(60) { !
% 26.12/26.51 aNaturalNumber0( sdtpldt0( xm, xn ) ), xl ==> sz00, sdtpldt0( xm, xn ) =
% 26.12/26.51 sdtasdt0( xl, X ), ! X = xq }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqrefl: (47958) {G0,W14,D3,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0(
% 26.12/26.51 sdtpldt0( xm, xn ) ), sdtpldt0( xm, xn ) = sdtasdt0( xl, xq ) }.
% 26.12/26.51 parent0[3]: (47951) {G1,W17,D3,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0
% 26.12/26.51 ( sdtpldt0( xm, xn ) ), sdtpldt0( xm, xn ) = sdtasdt0( xl, X ), ! X = xq
% 26.12/26.51 }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xq
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47959) {G1,W10,D3,L2,V0,M2} { sz00 ==> xl, sdtpldt0( xm, xn )
% 26.12/26.51 = sdtasdt0( xl, xq ) }.
% 26.12/26.51 parent0[1]: (47958) {G0,W14,D3,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0
% 26.12/26.51 ( sdtpldt0( xm, xn ) ), sdtpldt0( xm, xn ) = sdtasdt0( xl, xq ) }.
% 26.12/26.51 parent1[0]: (2270) {G2,W4,D3,L1,V0,M1} R(200,62) { aNaturalNumber0(
% 26.12/26.51 sdtpldt0( xm, xn ) ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47961) {G1,W10,D3,L2,V0,M2} { sdtasdt0( xl, xq ) = sdtpldt0( xm,
% 26.12/26.51 xn ), sz00 ==> xl }.
% 26.12/26.51 parent0[1]: (47959) {G1,W10,D3,L2,V0,M2} { sz00 ==> xl, sdtpldt0( xm, xn )
% 26.12/26.51 = sdtasdt0( xl, xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47962) {G1,W10,D3,L2,V0,M2} { xl ==> sz00, sdtasdt0( xl, xq ) =
% 26.12/26.51 sdtpldt0( xm, xn ) }.
% 26.12/26.51 parent0[1]: (47961) {G1,W10,D3,L2,V0,M2} { sdtasdt0( xl, xq ) = sdtpldt0(
% 26.12/26.51 xm, xn ), sz00 ==> xl }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (9860) {G3,W10,D3,L2,V0,M2} Q(9607);r(2270) { xl ==> sz00,
% 26.12/26.51 sdtasdt0( xl, xq ) ==> sdtpldt0( xm, xn ) }.
% 26.12/26.51 parent0: (47962) {G1,W10,D3,L2,V0,M2} { xl ==> sz00, sdtasdt0( xl, xq ) =
% 26.12/26.51 sdtpldt0( xm, xn ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47965) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xq ) }.
% 26.12/26.51 parent0[0]: (65) {G0,W3,D2,L1,V0,M1} I { ! xl ==> sz00 }.
% 26.12/26.51 parent1[0]: (9398) {G3,W5,D2,L2,V0,M2} Q(9265);r(2270) { xl ==> sz00,
% 26.12/26.51 aNaturalNumber0( xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (10465) {G4,W2,D2,L1,V0,M1} S(9398);r(65) { aNaturalNumber0(
% 26.12/26.51 xq ) }.
% 26.12/26.51 parent0: (47965) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xq ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47966) {G3,W4,D2,L2,V0,M2} { ! aNaturalNumber0( xp ),
% 26.12/26.51 aNaturalNumber0( xr ) }.
% 26.12/26.51 parent0[1]: (3143) {G2,W6,D2,L3,V0,M3} Q(3114) { ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 26.12/26.51 parent1[0]: (10465) {G4,W2,D2,L1,V0,M1} S(9398);r(65) { aNaturalNumber0( xq
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (10485) {G5,W4,D2,L2,V0,M2} R(10465,3143) { ! aNaturalNumber0
% 26.12/26.51 ( xp ), aNaturalNumber0( xr ) }.
% 26.12/26.51 parent0: (47966) {G3,W4,D2,L2,V0,M2} { ! aNaturalNumber0( xp ),
% 26.12/26.51 aNaturalNumber0( xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 1 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47967) {G1,W11,D3,L3,V1,M3} { ! aNaturalNumber0( X ),
% 26.12/26.51 sdtpldt0( xr, X ) = sdtpldt0( X, xr ), ! aNaturalNumber0( xp ) }.
% 26.12/26.51 parent0[0]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 26.12/26.51 parent1[1]: (10485) {G5,W4,D2,L2,V0,M2} R(10465,3143) { ! aNaturalNumber0(
% 26.12/26.51 xp ), aNaturalNumber0( xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xr
% 26.12/26.51 Y := X
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (10796) {G6,W11,D3,L3,V1,M3} R(10485,6) { ! aNaturalNumber0(
% 26.12/26.51 xp ), ! aNaturalNumber0( X ), sdtpldt0( xr, X ) = sdtpldt0( X, xr ) }.
% 26.12/26.51 parent0: (47967) {G1,W11,D3,L3,V1,M3} { ! aNaturalNumber0( X ), sdtpldt0(
% 26.12/26.51 xr, X ) = sdtpldt0( X, xr ), ! aNaturalNumber0( xp ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 1
% 26.12/26.51 1 ==> 2
% 26.12/26.51 2 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47971) {G6,W11,D3,L3,V1,M3} { sdtpldt0( X, xr ) = sdtpldt0( xr, X
% 26.12/26.51 ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 26.12/26.51 parent0[2]: (10796) {G6,W11,D3,L3,V1,M3} R(10485,6) { ! aNaturalNumber0( xp
% 26.12/26.51 ), ! aNaturalNumber0( X ), sdtpldt0( xr, X ) = sdtpldt0( X, xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := X
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 factor: (47973) {G6,W9,D3,L2,V0,M2} { sdtpldt0( xp, xr ) = sdtpldt0( xr,
% 26.12/26.51 xp ), ! aNaturalNumber0( xp ) }.
% 26.12/26.51 parent0[1, 2]: (47971) {G6,W11,D3,L3,V1,M3} { sdtpldt0( X, xr ) = sdtpldt0
% 26.12/26.51 ( xr, X ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xp
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (10806) {G7,W9,D3,L2,V0,M2} F(10796) { ! aNaturalNumber0( xp )
% 26.12/26.51 , sdtpldt0( xp, xr ) ==> sdtpldt0( xr, xp ) }.
% 26.12/26.51 parent0: (47973) {G6,W9,D3,L2,V0,M2} { sdtpldt0( xp, xr ) = sdtpldt0( xr,
% 26.12/26.51 xp ), ! aNaturalNumber0( xp ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 1
% 26.12/26.51 1 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47975) {G0,W13,D4,L1,V0,M1} { ! sdtpldt0( sdtasdt0( xl, xp ), xn
% 26.12/26.51 ) ==> sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0( xl, xr ) ) }.
% 26.12/26.51 parent0[0]: (70) {G0,W13,D4,L1,V0,M1} I { ! sdtpldt0( sdtasdt0( xl, xp ),
% 26.12/26.51 sdtasdt0( xl, xr ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 paramod: (47977) {G1,W17,D4,L4,V0,M4} { ! sdtpldt0( sdtasdt0( xl, xp ), xn
% 26.12/26.51 ) ==> sdtasdt0( xl, sdtpldt0( xp, xr ) ), ! aNaturalNumber0( xl ), !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xr ) }.
% 26.12/26.51 parent0[3]: (16) {G0,W19,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 26.12/26.51 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtasdt0( X, Y )
% 26.12/26.51 , sdtasdt0( X, Z ) ) ==> sdtasdt0( X, sdtpldt0( Y, Z ) ) }.
% 26.12/26.51 parent1[0; 7]: (47975) {G0,W13,D4,L1,V0,M1} { ! sdtpldt0( sdtasdt0( xl, xp
% 26.12/26.51 ), xn ) ==> sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0( xl, xr ) ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 X := xl
% 26.12/26.51 Y := xp
% 26.12/26.51 Z := xr
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 paramod: (47978) {G2,W19,D4,L5,V0,M5} { ! sdtpldt0( sdtasdt0( xl, xp ), xn
% 26.12/26.51 ) ==> sdtasdt0( xl, sdtpldt0( xr, xp ) ), ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( xr )
% 26.12/26.51 }.
% 26.12/26.51 parent0[1]: (10806) {G7,W9,D3,L2,V0,M2} F(10796) { ! aNaturalNumber0( xp )
% 26.12/26.51 , sdtpldt0( xp, xr ) ==> sdtpldt0( xr, xp ) }.
% 26.12/26.51 parent1[0; 9]: (47977) {G1,W17,D4,L4,V0,M4} { ! sdtpldt0( sdtasdt0( xl, xp
% 26.12/26.51 ), xn ) ==> sdtasdt0( xl, sdtpldt0( xp, xr ) ), ! aNaturalNumber0( xl )
% 26.12/26.51 , ! aNaturalNumber0( xp ), ! aNaturalNumber0( xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 factor: (47979) {G2,W17,D4,L4,V0,M4} { ! sdtpldt0( sdtasdt0( xl, xp ), xn
% 26.12/26.51 ) ==> sdtasdt0( xl, sdtpldt0( xr, xp ) ), ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( xr ) }.
% 26.12/26.51 parent0[1, 3]: (47978) {G2,W19,D4,L5,V0,M5} { ! sdtpldt0( sdtasdt0( xl, xp
% 26.12/26.51 ), xn ) ==> sdtasdt0( xl, sdtpldt0( xr, xp ) ), ! aNaturalNumber0( xp )
% 26.12/26.51 , ! aNaturalNumber0( xl ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( xr
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47980) {G1,W15,D4,L3,V0,M3} { ! sdtpldt0( sdtasdt0( xl, xp )
% 26.12/26.51 , xn ) ==> sdtasdt0( xl, sdtpldt0( xr, xp ) ), ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xr ) }.
% 26.12/26.51 parent0[2]: (47979) {G2,W17,D4,L4,V0,M4} { ! sdtpldt0( sdtasdt0( xl, xp )
% 26.12/26.51 , xn ) ==> sdtasdt0( xl, sdtpldt0( xr, xp ) ), ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xl ), ! aNaturalNumber0( xr ) }.
% 26.12/26.51 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 eqswap: (47981) {G1,W15,D4,L3,V0,M3} { ! sdtasdt0( xl, sdtpldt0( xr, xp )
% 26.12/26.51 ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ), ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xr ) }.
% 26.12/26.51 parent0[0]: (47980) {G1,W15,D4,L3,V0,M3} { ! sdtpldt0( sdtasdt0( xl, xp )
% 26.12/26.51 , xn ) ==> sdtasdt0( xl, sdtpldt0( xr, xp ) ), ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (11277) {G8,W15,D4,L3,V0,M3} P(16,70);d(10806);r(60) { !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xr ), ! sdtasdt0( xl, sdtpldt0
% 26.12/26.51 ( xr, xp ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.51 parent0: (47981) {G1,W15,D4,L3,V0,M3} { ! sdtasdt0( xl, sdtpldt0( xr, xp )
% 26.12/26.51 ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ), ! aNaturalNumber0( xp ), !
% 26.12/26.51 aNaturalNumber0( xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 2
% 26.12/26.51 1 ==> 0
% 26.12/26.51 2 ==> 1
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47984) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 26.12/26.51 parent0[0]: (65) {G0,W3,D2,L1,V0,M1} I { ! xl ==> sz00 }.
% 26.12/26.51 parent1[0]: (9395) {G2,W5,D2,L2,V0,M2} Q(9276);r(61) { xl ==> sz00,
% 26.12/26.51 aNaturalNumber0( xp ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (12278) {G3,W2,D2,L1,V0,M1} S(9395);r(65) { aNaturalNumber0(
% 26.12/26.51 xp ) }.
% 26.12/26.51 parent0: (47984) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47985) {G4,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 26.12/26.51 parent0[0]: (10485) {G5,W4,D2,L2,V0,M2} R(10465,3143) { ! aNaturalNumber0(
% 26.12/26.51 xp ), aNaturalNumber0( xr ) }.
% 26.12/26.51 parent1[0]: (12278) {G3,W2,D2,L1,V0,M1} S(9395);r(65) { aNaturalNumber0( xp
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (12293) {G6,W2,D2,L1,V0,M1} R(12278,10485) { aNaturalNumber0(
% 26.12/26.51 xr ) }.
% 26.12/26.51 parent0: (47985) {G4,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47987) {G4,W13,D4,L2,V0,M2} { ! aNaturalNumber0( xr ), !
% 26.12/26.51 sdtasdt0( xl, sdtpldt0( xr, xp ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn )
% 26.12/26.51 }.
% 26.12/26.51 parent0[0]: (11277) {G8,W15,D4,L3,V0,M3} P(16,70);d(10806);r(60) { !
% 26.12/26.51 aNaturalNumber0( xp ), ! aNaturalNumber0( xr ), ! sdtasdt0( xl, sdtpldt0
% 26.12/26.51 ( xr, xp ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.51 parent1[0]: (12278) {G3,W2,D2,L1,V0,M1} S(9395);r(65) { aNaturalNumber0( xp
% 26.12/26.51 ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47988) {G5,W11,D4,L1,V0,M1} { ! sdtasdt0( xl, sdtpldt0( xr,
% 26.12/26.51 xp ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.51 parent0[0]: (47987) {G4,W13,D4,L2,V0,M2} { ! aNaturalNumber0( xr ), !
% 26.12/26.51 sdtasdt0( xl, sdtpldt0( xr, xp ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn )
% 26.12/26.51 }.
% 26.12/26.51 parent1[0]: (12293) {G6,W2,D2,L1,V0,M1} R(12278,10485) { aNaturalNumber0(
% 26.12/26.51 xr ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 subsumption: (21126) {G9,W11,D4,L1,V0,M1} S(11277);r(12278);r(12293) { !
% 26.12/26.51 sdtasdt0( xl, sdtpldt0( xr, xp ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn )
% 26.12/26.51 }.
% 26.12/26.51 parent0: (47988) {G5,W11,D4,L1,V0,M1} { ! sdtasdt0( xl, sdtpldt0( xr, xp )
% 26.12/26.51 ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 permutation0:
% 26.12/26.51 0 ==> 0
% 26.12/26.51 end
% 26.12/26.51
% 26.12/26.51 resolution: (47994) {G1,W7,D3,L1,V0,M1} { sdtasdt0( xl, xq ) ==> sdtpldt0
% 26.12/26.51 ( xm, xn ) }.
% 26.12/26.51 parent0[0]: (65) {G0,W3,D2,L1,V0,M1} I { ! xl ==> sz00 }.
% 26.12/26.51 parent1[0]: (9860) {G3,W10,D3,L2,V0,M2} Q(9607);r(2270) { xl ==> sz00,
% 26.12/26.51 sdtasdt0( xl, xq ) ==> sdtpldt0( xm, xn ) }.
% 26.12/26.51 substitution0:
% 26.12/26.51 end
% 26.12/26.51 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 subsumption: (21192) {G4,W7,D3,L1,V0,M1} S(9860);r(65) { sdtasdt0( xl, xq )
% 26.12/26.52 ==> sdtpldt0( xm, xn ) }.
% 26.12/26.52 parent0: (47994) {G1,W7,D3,L1,V0,M1} { sdtasdt0( xl, xq ) ==> sdtpldt0( xm
% 26.12/26.52 , xn ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 permutation0:
% 26.12/26.52 0 ==> 0
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 resolution: (48000) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xl, xp ) ==> xm }.
% 26.12/26.52 parent0[0]: (65) {G0,W3,D2,L1,V0,M1} I { ! xl ==> sz00 }.
% 26.12/26.52 parent1[0]: (9859) {G2,W8,D3,L2,V0,M2} Q(9612);r(61) { xl ==> sz00,
% 26.12/26.52 sdtasdt0( xl, xp ) ==> xm }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 subsumption: (21194) {G3,W5,D3,L1,V0,M1} S(9859);r(65) { sdtasdt0( xl, xp )
% 26.12/26.52 ==> xm }.
% 26.12/26.52 parent0: (48000) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xl, xp ) ==> xm }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 permutation0:
% 26.12/26.52 0 ==> 0
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 resolution: (48003) {G4,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xq ),
% 26.12/26.52 sdtpldt0( xr, xp ) ==> xq }.
% 26.12/26.52 parent0[0]: (4999) {G4,W9,D3,L3,V0,M3} F(4986);d(3440) { ! aNaturalNumber0
% 26.12/26.52 ( xp ), ! aNaturalNumber0( xq ), sdtpldt0( xr, xp ) ==> xq }.
% 26.12/26.52 parent1[0]: (12278) {G3,W2,D2,L1,V0,M1} S(9395);r(65) { aNaturalNumber0( xp
% 26.12/26.52 ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 resolution: (48004) {G5,W5,D3,L1,V0,M1} { sdtpldt0( xr, xp ) ==> xq }.
% 26.12/26.52 parent0[0]: (48003) {G4,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xq ),
% 26.12/26.52 sdtpldt0( xr, xp ) ==> xq }.
% 26.12/26.52 parent1[0]: (10465) {G4,W2,D2,L1,V0,M1} S(9398);r(65) { aNaturalNumber0( xq
% 26.12/26.52 ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 subsumption: (21436) {G5,W5,D3,L1,V0,M1} S(4999);r(12278);r(10465) {
% 26.12/26.52 sdtpldt0( xr, xp ) ==> xq }.
% 26.12/26.52 parent0: (48004) {G5,W5,D3,L1,V0,M1} { sdtpldt0( xr, xp ) ==> xq }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 permutation0:
% 26.12/26.52 0 ==> 0
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 eqswap: (48006) {G1,W9,D3,L2,V1,M2} { sdtpldt0( X, xm ) = sdtpldt0( xm, X
% 26.12/26.52 ), ! aNaturalNumber0( X ) }.
% 26.12/26.52 parent0[1]: (251) {G1,W9,D3,L2,V1,M2} R(6,61) { ! aNaturalNumber0( X ),
% 26.12/26.52 sdtpldt0( xm, X ) = sdtpldt0( X, xm ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 X := X
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 resolution: (48007) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xn, xm ) = sdtpldt0(
% 26.12/26.52 xm, xn ) }.
% 26.12/26.52 parent0[1]: (48006) {G1,W9,D3,L2,V1,M2} { sdtpldt0( X, xm ) = sdtpldt0( xm
% 26.12/26.52 , X ), ! aNaturalNumber0( X ) }.
% 26.12/26.52 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 X := xn
% 26.12/26.52 end
% 26.12/26.52 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 eqswap: (48008) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xm, xn ) = sdtpldt0( xn,
% 26.12/26.52 xm ) }.
% 26.12/26.52 parent0[0]: (48007) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xn, xm ) = sdtpldt0(
% 26.12/26.52 xm, xn ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 subsumption: (39683) {G2,W7,D3,L1,V0,M1} R(251,62) { sdtpldt0( xm, xn ) ==>
% 26.12/26.52 sdtpldt0( xn, xm ) }.
% 26.12/26.52 parent0: (48008) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xm, xn ) = sdtpldt0( xn,
% 26.12/26.52 xm ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 permutation0:
% 26.12/26.52 0 ==> 0
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 paramod: (48015) {G6,W9,D4,L1,V0,M1} { ! sdtasdt0( xl, xq ) ==> sdtpldt0(
% 26.12/26.52 sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.52 parent0[0]: (21436) {G5,W5,D3,L1,V0,M1} S(4999);r(12278);r(10465) {
% 26.12/26.52 sdtpldt0( xr, xp ) ==> xq }.
% 26.12/26.52 parent1[0; 4]: (21126) {G9,W11,D4,L1,V0,M1} S(11277);r(12278);r(12293) { !
% 26.12/26.52 sdtasdt0( xl, sdtpldt0( xr, xp ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn )
% 26.12/26.52 }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 paramod: (48016) {G5,W9,D4,L1,V0,M1} { ! sdtpldt0( xm, xn ) ==> sdtpldt0(
% 26.12/26.52 sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.52 parent0[0]: (21192) {G4,W7,D3,L1,V0,M1} S(9860);r(65) { sdtasdt0( xl, xq )
% 26.12/26.52 ==> sdtpldt0( xm, xn ) }.
% 26.12/26.52 parent1[0; 2]: (48015) {G6,W9,D4,L1,V0,M1} { ! sdtasdt0( xl, xq ) ==>
% 26.12/26.52 sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 paramod: (48017) {G3,W9,D4,L1,V0,M1} { ! sdtpldt0( xn, xm ) ==> sdtpldt0(
% 26.12/26.52 sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.52 parent0[0]: (39683) {G2,W7,D3,L1,V0,M1} R(251,62) { sdtpldt0( xm, xn ) ==>
% 26.12/26.52 sdtpldt0( xn, xm ) }.
% 26.12/26.52 parent1[0; 2]: (48016) {G5,W9,D4,L1,V0,M1} { ! sdtpldt0( xm, xn ) ==>
% 26.12/26.52 sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 paramod: (48018) {G4,W7,D3,L1,V0,M1} { ! sdtpldt0( xn, xm ) ==> sdtpldt0(
% 26.12/26.52 xm, xn ) }.
% 26.12/26.52 parent0[0]: (21194) {G3,W5,D3,L1,V0,M1} S(9859);r(65) { sdtasdt0( xl, xp )
% 26.12/26.52 ==> xm }.
% 26.12/26.52 parent1[0; 6]: (48017) {G3,W9,D4,L1,V0,M1} { ! sdtpldt0( xn, xm ) ==>
% 26.12/26.52 sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 paramod: (48019) {G3,W7,D3,L1,V0,M1} { ! sdtpldt0( xn, xm ) ==> sdtpldt0(
% 26.12/26.52 xn, xm ) }.
% 26.12/26.52 parent0[0]: (39683) {G2,W7,D3,L1,V0,M1} R(251,62) { sdtpldt0( xm, xn ) ==>
% 26.12/26.52 sdtpldt0( xn, xm ) }.
% 26.12/26.52 parent1[0; 5]: (48018) {G4,W7,D3,L1,V0,M1} { ! sdtpldt0( xn, xm ) ==>
% 26.12/26.52 sdtpldt0( xm, xn ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 substitution1:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 eqrefl: (48020) {G0,W0,D0,L0,V0,M0} { }.
% 26.12/26.52 parent0[0]: (48019) {G3,W7,D3,L1,V0,M1} { ! sdtpldt0( xn, xm ) ==>
% 26.12/26.52 sdtpldt0( xn, xm ) }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 subsumption: (42625) {G10,W0,D0,L0,V0,M0} S(21126);d(21436);d(21192);d(
% 26.12/26.52 39683);d(21194);d(39683);q { }.
% 26.12/26.52 parent0: (48020) {G0,W0,D0,L0,V0,M0} { }.
% 26.12/26.52 substitution0:
% 26.12/26.52 end
% 26.12/26.52 permutation0:
% 26.12/26.52 end
% 26.12/26.52
% 26.12/26.52 Proof check complete!
% 26.12/26.52
% 26.12/26.52 Memory use:
% 26.12/26.52
% 26.12/26.52 space for terms: 641444
% 26.12/26.52 space for clauses: 2190075
% 26.12/26.52
% 26.12/26.52
% 26.12/26.52 clauses generated: 361683
% 26.12/26.52 clauses kept: 42626
% 26.12/26.52 clauses selected: 837
% 26.12/26.52 clauses deleted: 8708
% 26.12/26.52 clauses inuse deleted: 132
% 26.12/26.52
% 26.12/26.52 subsentry: 1159565
% 26.12/26.52 literals s-matched: 571037
% 26.12/26.52 literals matched: 457926
% 26.12/26.52 full subsumption: 263820
% 26.12/26.52
% 26.12/26.52 checksum: 596420133
% 26.12/26.52
% 26.12/26.52
% 26.12/26.52 Bliksem ended
%------------------------------------------------------------------------------