TSTP Solution File: NUM475+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM475+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 06:22:40 EDT 2022
% Result : Theorem 98.74s 99.17s
% Output : Refutation 98.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM475+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 : Thu Jul 7 07:26:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08
% 0.42/1.08 { && }.
% 0.42/1.08 { aNaturalNumber0( sz00 ) }.
% 0.42/1.08 { aNaturalNumber0( sz10 ) }.
% 0.42/1.08 { ! sz10 = sz00 }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.42/1.08 ( X, Y ) ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.42/1.08 ( X, Y ) ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.42/1.08 sdtpldt0( Y, X ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.42/1.08 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.42/1.08 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.42/1.08 sdtasdt0( Y, X ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.42/1.08 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.42/1.08 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.42/1.08 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.42/1.08 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.42/1.08 , Z ) ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.42/1.08 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.42/1.08 , X ) ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.42/1.08 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.42/1.08 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.42/1.08 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.42/1.08 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.42/1.08 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.42/1.08 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.42/1.08 , X = sz00 }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.42/1.08 , Y = sz00 }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.42/1.08 , X = sz00, Y = sz00 }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.42/1.08 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.42/1.08 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.42/1.08 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.42/1.08 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.42/1.08 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.42/1.08 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.42/1.08 sdtlseqdt0( Y, X ), X = Y }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.42/1.08 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.42/1.08 X }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.42/1.08 sdtlseqdt0( Y, X ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.42/1.08 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.42/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.42/1.08 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.42/1.08 ) ) }.
% 0.42/1.08 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.42/1.08 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.42/1.08 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 10.47/10.87 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 10.47/10.87 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 10.47/10.87 ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 10.47/10.87 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 10.47/10.87 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 10.47/10.87 sdtasdt0( Z, X ) ) }.
% 10.47/10.87 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 10.47/10.87 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 10.47/10.87 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 10.47/10.87 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 10.47/10.87 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 10.47/10.87 ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 10.47/10.87 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 10.47/10.87 sdtasdt0( Y, X ) ) }.
% 10.47/10.87 { && }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 10.47/10.87 ), iLess0( X, Y ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 10.47/10.87 aNaturalNumber0( skol2( Z, T ) ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 10.47/10.87 sdtasdt0( X, skol2( X, Y ) ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 10.47/10.87 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 10.47/10.87 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 10.47/10.87 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 10.47/10.87 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 10.47/10.87 ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 10.47/10.87 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 10.47/10.87 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 10.47/10.87 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 10.47/10.87 ) ) }.
% 10.47/10.87 { aNaturalNumber0( xl ) }.
% 10.47/10.87 { aNaturalNumber0( xm ) }.
% 10.47/10.87 { aNaturalNumber0( xn ) }.
% 10.47/10.87 { aNaturalNumber0( skol3 ) }.
% 10.47/10.87 { xm = sdtasdt0( xl, skol3 ) }.
% 10.47/10.87 { doDivides0( xl, xm ) }.
% 10.47/10.87 { aNaturalNumber0( skol5 ) }.
% 10.47/10.87 { sdtpldt0( xm, xn ) = sdtasdt0( xl, skol5 ) }.
% 10.47/10.87 { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 10.47/10.87 { ! xl = sz00 }.
% 10.47/10.87 { aNaturalNumber0( xp ) }.
% 10.47/10.87 { xm = sdtasdt0( xl, xp ) }.
% 10.47/10.87 { xp = sdtsldt0( xm, xl ) }.
% 10.47/10.87 { aNaturalNumber0( xq ) }.
% 10.47/10.87 { sdtpldt0( xm, xn ) = sdtasdt0( xl, xq ) }.
% 10.47/10.87 { xq = sdtsldt0( sdtpldt0( xm, xn ), xl ) }.
% 10.47/10.87 { aNaturalNumber0( skol4 ) }.
% 10.47/10.87 { sdtpldt0( xp, skol4 ) = xq }.
% 10.47/10.87 { sdtlseqdt0( xp, xq ) }.
% 10.47/10.87 { aNaturalNumber0( xr ) }.
% 10.47/10.87 { sdtpldt0( xp, xr ) = xq }.
% 10.47/10.87 { xr = sdtmndt0( xq, xp ) }.
% 10.47/10.87 { sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0( xl, xr ) ) = sdtpldt0( sdtasdt0(
% 10.47/10.87 xl, xp ), xn ) }.
% 10.47/10.87 { ! xn = sdtasdt0( xl, xr ) }.
% 10.47/10.87
% 10.47/10.87 percentage equality = 0.315385, percentage horn = 0.797619
% 10.47/10.87 This is a problem with some equality
% 10.47/10.87
% 10.47/10.87
% 10.47/10.87
% 10.47/10.87 Options Used:
% 10.47/10.87
% 10.47/10.87 useres = 1
% 10.47/10.87 useparamod = 1
% 10.47/10.87 useeqrefl = 1
% 10.47/10.87 useeqfact = 1
% 10.47/10.87 usefactor = 1
% 10.47/10.87 usesimpsplitting = 0
% 10.47/10.87 usesimpdemod = 5
% 10.47/10.87 usesimpres = 3
% 10.47/10.87
% 10.47/10.87 resimpinuse = 1000
% 10.47/10.87 resimpclauses = 20000
% 10.47/10.87 substype = eqrewr
% 10.47/10.87 backwardsubs = 1
% 10.47/10.87 selectoldest = 5
% 10.47/10.87
% 10.47/10.87 litorderings [0] = split
% 10.47/10.87 litorderings [1] = extend the termordering, first sorting on arguments
% 10.47/10.87
% 10.47/10.87 termordering = kbo
% 10.47/10.87
% 10.47/10.87 litapriori = 0
% 10.47/10.87 termapriori = 1
% 10.47/10.87 litaposteriori = 0
% 10.47/10.87 termaposteriori = 0
% 10.47/10.87 demodaposteriori = 0
% 10.47/10.87 ordereqreflfact = 0
% 10.47/10.87
% 10.47/10.87 litselect = negord
% 10.47/10.87
% 10.47/10.87 maxweight = 15
% 10.47/10.87 maxdepth = 30000
% 10.47/10.87 maxlength = 115
% 10.47/10.87 maxnrvars = 195
% 10.47/10.87 excuselevel = 1
% 10.47/10.87 increasemaxweight = 1
% 10.47/10.87
% 10.47/10.87 maxselected = 10000000
% 10.47/10.87 maxnrclauses = 10000000
% 10.47/10.87
% 10.47/10.87 showgenerated = 0
% 10.47/10.87 showkept = 0
% 10.47/10.87 showselected = 0
% 10.47/10.87 showdeleted = 0
% 10.47/10.87 showresimp = 1
% 10.47/10.87 showstatus = 2000
% 10.47/10.87
% 10.47/10.87 prologoutput = 0
% 61.45/61.82 nrgoals = 5000000
% 61.45/61.82 totalproof = 1
% 61.45/61.82
% 61.45/61.82 Symbols occurring in the translation:
% 61.45/61.82
% 61.45/61.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 61.45/61.82 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 61.45/61.82 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 61.45/61.82 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 61.45/61.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 61.45/61.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 61.45/61.82 aNaturalNumber0 [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 61.45/61.82 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 61.45/61.82 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 61.45/61.82 sdtpldt0 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 61.45/61.82 sdtasdt0 [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 61.45/61.82 sdtlseqdt0 [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 61.45/61.82 sdtmndt0 [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 61.45/61.82 iLess0 [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 61.45/61.82 doDivides0 [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 61.45/61.82 sdtsldt0 [47, 2] (w:1, o:56, a:1, s:1, b:0),
% 61.45/61.82 xl [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 61.45/61.82 xm [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 61.45/61.82 xn [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 61.45/61.82 xp [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 61.45/61.82 xq [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 61.45/61.82 xr [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 61.45/61.82 alpha1 [54, 3] (w:1, o:59, a:1, s:1, b:1),
% 61.45/61.82 alpha2 [55, 3] (w:1, o:60, a:1, s:1, b:1),
% 61.45/61.82 skol1 [56, 2] (w:1, o:57, a:1, s:1, b:1),
% 61.45/61.82 skol2 [57, 2] (w:1, o:58, a:1, s:1, b:1),
% 61.45/61.82 skol3 [58, 0] (w:1, o:17, a:1, s:1, b:1),
% 61.45/61.82 skol4 [59, 0] (w:1, o:18, a:1, s:1, b:1),
% 61.45/61.82 skol5 [60, 0] (w:1, o:19, a:1, s:1, b:1).
% 61.45/61.82
% 61.45/61.82
% 61.45/61.82 Starting Search:
% 61.45/61.82
% 61.45/61.82 *** allocated 15000 integers for clauses
% 61.45/61.82 *** allocated 22500 integers for clauses
% 61.45/61.82 *** allocated 33750 integers for clauses
% 61.45/61.82 *** allocated 50625 integers for clauses
% 61.45/61.82 *** allocated 15000 integers for termspace/termends
% 61.45/61.82 *** allocated 75937 integers for clauses
% 61.45/61.82 *** allocated 22500 integers for termspace/termends
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 *** allocated 113905 integers for clauses
% 61.45/61.82 *** allocated 33750 integers for termspace/termends
% 61.45/61.82 *** allocated 50625 integers for termspace/termends
% 61.45/61.82 *** allocated 170857 integers for clauses
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 61.45/61.82 Generated: 13057
% 61.45/61.82 Kept: 2044
% 61.45/61.82 Inuse: 130
% 61.45/61.82 Deleted: 1
% 61.45/61.82 Deletedinuse: 0
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 *** allocated 75937 integers for termspace/termends
% 61.45/61.82 *** allocated 256285 integers for clauses
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 *** allocated 113905 integers for termspace/termends
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 61.45/61.82 Generated: 26287
% 61.45/61.82 Kept: 4193
% 61.45/61.82 Inuse: 179
% 61.45/61.82 Deleted: 2
% 61.45/61.82 Deletedinuse: 0
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 *** allocated 384427 integers for clauses
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 *** allocated 170857 integers for termspace/termends
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 61.45/61.82 Generated: 44389
% 61.45/61.82 Kept: 6195
% 61.45/61.82 Inuse: 216
% 61.45/61.82 Deleted: 18
% 61.45/61.82 Deletedinuse: 8
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 *** allocated 576640 integers for clauses
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 61.45/61.82 Generated: 58592
% 61.45/61.82 Kept: 8201
% 61.45/61.82 Inuse: 251
% 61.45/61.82 Deleted: 28
% 61.45/61.82 Deletedinuse: 15
% 61.45/61.82
% 61.45/61.82 *** allocated 256285 integers for termspace/termends
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 61.45/61.82 Generated: 78241
% 61.45/61.82 Kept: 10203
% 61.45/61.82 Inuse: 291
% 61.45/61.82 Deleted: 32
% 61.45/61.82 Deletedinuse: 19
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 *** allocated 864960 integers for clauses
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 61.45/61.82 Generated: 101241
% 61.45/61.82 Kept: 12221
% 61.45/61.82 Inuse: 386
% 61.45/61.82 Deleted: 51
% 61.45/61.82 Deletedinuse: 26
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 *** allocated 384427 integers for termspace/termends
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 61.45/61.82 Generated: 133028
% 61.45/61.82 Kept: 14292
% 61.45/61.82 Inuse: 471
% 61.45/61.82 Deleted: 57
% 61.45/61.82 Deletedinuse: 27
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 61.45/61.82 Generated: 146368
% 61.45/61.82 Kept: 16410
% 61.45/61.82 Inuse: 508
% 61.45/61.82 Deleted: 85
% 61.45/61.82 Deletedinuse: 32
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 *** allocated 1297440 integers for clauses
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 61.45/61.82 Generated: 182618
% 61.45/61.82 Kept: 18432
% 61.45/61.82 Inuse: 558
% 61.45/61.82 Deleted: 86
% 61.45/61.82 Deletedinuse: 32
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 Resimplifying inuse:
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82 Resimplifying clauses:
% 61.45/61.82 *** allocated 576640 integers for termspace/termends
% 61.45/61.82 Done
% 61.45/61.82
% 61.45/61.82
% 61.45/61.82 Intermediate Status:
% 98.74/99.17 Generated: 215461
% 98.74/99.17 Kept: 22349
% 98.74/99.17 Inuse: 599
% 98.74/99.17 Deleted: 5938
% 98.74/99.17 Deletedinuse: 34
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 235689
% 98.74/99.17 Kept: 24394
% 98.74/99.17 Inuse: 646
% 98.74/99.17 Deleted: 6094
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 260316
% 98.74/99.17 Kept: 26467
% 98.74/99.17 Inuse: 687
% 98.74/99.17 Deleted: 6096
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 *** allocated 1946160 integers for clauses
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 273170
% 98.74/99.17 Kept: 28498
% 98.74/99.17 Inuse: 715
% 98.74/99.17 Deleted: 6096
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 284295
% 98.74/99.17 Kept: 30542
% 98.74/99.17 Inuse: 738
% 98.74/99.17 Deleted: 6096
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 300744
% 98.74/99.17 Kept: 32628
% 98.74/99.17 Inuse: 777
% 98.74/99.17 Deleted: 6096
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 309039
% 98.74/99.17 Kept: 34901
% 98.74/99.17 Inuse: 792
% 98.74/99.17 Deleted: 6096
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 316009
% 98.74/99.17 Kept: 36916
% 98.74/99.17 Inuse: 804
% 98.74/99.17 Deleted: 6096
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 *** allocated 864960 integers for termspace/termends
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 *** allocated 2919240 integers for clauses
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 325294
% 98.74/99.17 Kept: 39172
% 98.74/99.17 Inuse: 822
% 98.74/99.17 Deleted: 6096
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 334563
% 98.74/99.17 Kept: 41192
% 98.74/99.17 Inuse: 841
% 98.74/99.17 Deleted: 6096
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying clauses:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 344720
% 98.74/99.17 Kept: 43346
% 98.74/99.17 Inuse: 852
% 98.74/99.17 Deleted: 12952
% 98.74/99.17 Deletedinuse: 186
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 362298
% 98.74/99.17 Kept: 45406
% 98.74/99.17 Inuse: 892
% 98.74/99.17 Deleted: 12954
% 98.74/99.17 Deletedinuse: 188
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 384883
% 98.74/99.17 Kept: 47413
% 98.74/99.17 Inuse: 940
% 98.74/99.17 Deleted: 12954
% 98.74/99.17 Deletedinuse: 188
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 402730
% 98.74/99.17 Kept: 49430
% 98.74/99.17 Inuse: 978
% 98.74/99.17 Deleted: 13030
% 98.74/99.17 Deletedinuse: 264
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 434179
% 98.74/99.17 Kept: 51433
% 98.74/99.17 Inuse: 1048
% 98.74/99.17 Deleted: 13044
% 98.74/99.17 Deletedinuse: 272
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 456285
% 98.74/99.17 Kept: 53442
% 98.74/99.17 Inuse: 1097
% 98.74/99.17 Deleted: 13048
% 98.74/99.17 Deletedinuse: 276
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 483911
% 98.74/99.17 Kept: 55459
% 98.74/99.17 Inuse: 1149
% 98.74/99.17 Deleted: 13048
% 98.74/99.17 Deletedinuse: 276
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 511557
% 98.74/99.17 Kept: 57469
% 98.74/99.17 Inuse: 1215
% 98.74/99.17 Deleted: 13058
% 98.74/99.17 Deletedinuse: 286
% 98.74/99.17
% 98.74/99.17 *** allocated 4378860 integers for clauses
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 *** allocated 1297440 integers for termspace/termends
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 539897
% 98.74/99.17 Kept: 59502
% 98.74/99.17 Inuse: 1283
% 98.74/99.17 Deleted: 13058
% 98.74/99.17 Deletedinuse: 286
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 557116
% 98.74/99.17 Kept: 61520
% 98.74/99.17 Inuse: 1325
% 98.74/99.17 Deleted: 13097
% 98.74/99.17 Deletedinuse: 325
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying clauses:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 598290
% 98.74/99.17 Kept: 65636
% 98.74/99.17 Inuse: 1401
% 98.74/99.17 Deleted: 26157
% 98.74/99.17 Deletedinuse: 338
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 615794
% 98.74/99.17 Kept: 67841
% 98.74/99.17 Inuse: 1441
% 98.74/99.17 Deleted: 26161
% 98.74/99.17 Deletedinuse: 342
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 638366
% 98.74/99.17 Kept: 69842
% 98.74/99.17 Inuse: 1491
% 98.74/99.17 Deleted: 26161
% 98.74/99.17 Deletedinuse: 342
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 663286
% 98.74/99.17 Kept: 71851
% 98.74/99.17 Inuse: 1548
% 98.74/99.17 Deleted: 26161
% 98.74/99.17 Deletedinuse: 342
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 684608
% 98.74/99.17 Kept: 73851
% 98.74/99.17 Inuse: 1613
% 98.74/99.17 Deleted: 26162
% 98.74/99.17 Deletedinuse: 343
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 701256
% 98.74/99.17 Kept: 75854
% 98.74/99.17 Inuse: 1652
% 98.74/99.17 Deleted: 26178
% 98.74/99.17 Deletedinuse: 343
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 733093
% 98.74/99.17 Kept: 77896
% 98.74/99.17 Inuse: 1705
% 98.74/99.17 Deleted: 26217
% 98.74/99.17 Deletedinuse: 348
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 762536
% 98.74/99.17 Kept: 79949
% 98.74/99.17 Inuse: 1758
% 98.74/99.17 Deleted: 26217
% 98.74/99.17 Deletedinuse: 348
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 800004
% 98.74/99.17 Kept: 81949
% 98.74/99.17 Inuse: 1841
% 98.74/99.17 Deleted: 26225
% 98.74/99.17 Deletedinuse: 348
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 869715
% 98.74/99.17 Kept: 84321
% 98.74/99.17 Inuse: 1998
% 98.74/99.17 Deleted: 26225
% 98.74/99.17 Deletedinuse: 348
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 *** allocated 6568290 integers for clauses
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 886374
% 98.74/99.17 Kept: 86540
% 98.74/99.17 Inuse: 2008
% 98.74/99.17 Deleted: 26225
% 98.74/99.17 Deletedinuse: 348
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17 Resimplifying clauses:
% 98.74/99.17 *** allocated 1946160 integers for termspace/termends
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Intermediate Status:
% 98.74/99.17 Generated: 892257
% 98.74/99.17 Kept: 89772
% 98.74/99.17 Inuse: 2008
% 98.74/99.17 Deleted: 33477
% 98.74/99.17 Deletedinuse: 348
% 98.74/99.17
% 98.74/99.17 Resimplifying inuse:
% 98.74/99.17 Done
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Bliksems!, er is een bewijs:
% 98.74/99.17 % SZS status Theorem
% 98.74/99.17 % SZS output start Refutation
% 98.74/99.17
% 98.74/99.17 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 98.74/99.17 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 98.74/99.17 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 98.74/99.17 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 98.74/99.17 (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 98.74/99.17 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 98.74/99.17 (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 98.74/99.17 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 98.74/99.17 (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 98.74/99.17 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 98.74/99.17 }.
% 98.74/99.17 (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 98.74/99.17 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 98.74/99.17 }.
% 98.74/99.17 (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 98.74/99.17 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 98.74/99.17 }.
% 98.74/99.17 (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 98.74/99.17 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 98.74/99.17 , Z = sdtmndt0( Y, X ) }.
% 98.74/99.17 (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 98.74/99.17 (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 98.74/99.17 (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 98.74/99.17 (71) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, xp ) ==> xm }.
% 98.74/99.17 (79) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 98.74/99.17 (82) {G1,W9,D4,L1,V0,M1} I;d(71) { sdtpldt0( xm, sdtasdt0( xl, xr ) ) ==>
% 98.74/99.17 sdtpldt0( xm, xn ) }.
% 98.74/99.17 (83) {G0,W5,D3,L1,V0,M1} I { ! sdtasdt0( xl, xr ) ==> xn }.
% 98.74/99.17 (84) {G1,W6,D3,L2,V1,M2} F(4) { ! aNaturalNumber0( X ), aNaturalNumber0(
% 98.74/99.17 sdtpldt0( X, X ) ) }.
% 98.74/99.17 (117) {G1,W12,D3,L4,V2,M4} F(27) { ! aNaturalNumber0( X ), !
% 98.74/99.17 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = Y, sdtlseqdt0( X, Y ) }.
% 98.74/99.17 (119) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ), !
% 98.74/99.17 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 98.74/99.17 (130) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X ), !
% 98.74/99.17 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0(
% 98.74/99.17 sdtpldt0( X, Y ), X ) ==> Y }.
% 98.74/99.17 (131) {G2,W9,D4,L2,V1,M2} F(130);r(119) { ! aNaturalNumber0( X ), sdtmndt0
% 98.74/99.17 ( sdtpldt0( X, X ), X ) ==> X }.
% 98.74/99.17 (253) {G1,W6,D3,L2,V1,M2} R(5,60) { ! aNaturalNumber0( X ), aNaturalNumber0
% 98.74/99.17 ( sdtasdt0( X, xl ) ) }.
% 98.74/99.17 (294) {G1,W9,D3,L2,V1,M2} R(6,61) { ! aNaturalNumber0( X ), sdtpldt0( xm, X
% 98.74/99.17 ) = sdtpldt0( X, xm ) }.
% 98.74/99.17 (422) {G1,W7,D3,L2,V0,M2} P(10,83);r(60) { ! sdtasdt0( xr, xl ) ==> xn, !
% 98.74/99.17 aNaturalNumber0( xr ) }.
% 98.74/99.17 (718) {G1,W14,D3,L4,V2,M4} R(18,61) { ! aNaturalNumber0( X ), !
% 98.74/99.17 aNaturalNumber0( Y ), ! sdtpldt0( xm, X ) = sdtpldt0( xm, Y ), X = Y }.
% 98.74/99.17 (10353) {G2,W11,D4,L2,V0,M2} P(10,82);r(60) { sdtpldt0( xm, sdtasdt0( xr,
% 98.74/99.17 xl ) ) ==> sdtpldt0( xm, xn ), ! aNaturalNumber0( xr ) }.
% 98.74/99.17 (10450) {G2,W4,D3,L1,V0,M1} R(84,62) { aNaturalNumber0( sdtpldt0( xn, xn )
% 98.74/99.17 ) }.
% 98.74/99.17 (13817) {G2,W10,D3,L3,V1,M3} R(117,62) { ! aNaturalNumber0( X ), ! sdtpldt0
% 98.74/99.17 ( xn, xn ) = X, sdtlseqdt0( xn, X ) }.
% 98.74/99.17 (13830) {G3,W5,D3,L1,V0,M1} Q(13817);r(10450) { sdtlseqdt0( xn, sdtpldt0(
% 98.74/99.17 xn, xn ) ) }.
% 98.74/99.17 (13865) {G4,W9,D3,L3,V1,M3} R(13830,28);d(131);r(62) { ! aNaturalNumber0(
% 98.74/99.17 sdtpldt0( xn, xn ) ), aNaturalNumber0( X ), ! X = xn }.
% 98.74/99.17 (15681) {G2,W4,D3,L1,V0,M1} R(253,79) { aNaturalNumber0( sdtasdt0( xr, xl )
% 98.74/99.17 ) }.
% 98.74/99.17 (21113) {G5,W5,D2,L2,V1,M2} S(13865);r(10450) { aNaturalNumber0( X ), ! X =
% 98.74/99.17 xn }.
% 98.74/99.17 (21680) {G3,W9,D4,L1,V0,M1} S(10353);r(79) { sdtpldt0( xm, sdtasdt0( xr, xl
% 98.74/99.17 ) ) ==> sdtpldt0( xm, xn ) }.
% 98.74/99.17 (22334) {G2,W5,D3,L1,V0,M1} S(422);r(79) { ! sdtasdt0( xr, xl ) ==> xn }.
% 98.74/99.17 (48148) {G2,W7,D3,L1,V0,M1} R(294,62) { sdtpldt0( xm, xn ) ==> sdtpldt0( xn
% 98.74/99.17 , xm ) }.
% 98.74/99.17 (65471) {G4,W9,D4,L1,V0,M1} S(21680);d(48148) { sdtpldt0( xm, sdtasdt0( xr
% 98.74/99.17 , xl ) ) ==> sdtpldt0( xn, xm ) }.
% 98.74/99.17 (91469) {G6,W14,D3,L3,V1,M3} P(718,22334);d(65471);r(21113) { ! X = xn, !
% 98.74/99.17 aNaturalNumber0( sdtasdt0( xr, xl ) ), ! sdtpldt0( xm, X ) = sdtpldt0( xn
% 98.74/99.17 , xm ) }.
% 98.74/99.17 (91949) {G7,W0,D0,L0,V0,M0} Q(91469);d(48148);q;r(15681) { }.
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 % SZS output end Refutation
% 98.74/99.17 found a proof!
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Unprocessed initial clauses:
% 98.74/99.17
% 98.74/99.17 (91951) {G0,W1,D1,L1,V0,M1} { && }.
% 98.74/99.17 (91952) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 98.74/99.17 (91953) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 98.74/99.17 (91954) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 98.74/99.17 (91955) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 98.74/99.17 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 98.74/99.17 (91956) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 98.74/99.17 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 98.74/99.17 (91957) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 98.74/99.17 (91958) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 98.74/99.17 X, sdtpldt0( Y, Z ) ) }.
% 98.74/99.17 (91959) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 98.74/99.17 = X }.
% 98.74/99.17 (91960) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 98.74/99.17 X ) }.
% 98.74/99.17 (91961) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 98.74/99.17 (91962) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 98.74/99.17 X, sdtasdt0( Y, Z ) ) }.
% 98.74/99.17 (91963) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 98.74/99.17 = X }.
% 98.74/99.17 (91964) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 98.74/99.17 X ) }.
% 98.74/99.17 (91965) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 98.74/99.17 = sz00 }.
% 98.74/99.17 (91966) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 98.74/99.17 sz00, X ) }.
% 98.74/99.17 (91967) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 98.74/99.17 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 98.74/99.17 (91968) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 98.74/99.17 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 98.74/99.17 (91969) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 98.74/99.17 }.
% 98.74/99.17 (91970) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 98.74/99.17 }.
% 98.74/99.17 (91971) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 98.74/99.17 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 98.74/99.17 sdtasdt0( X, Z ), Y = Z }.
% 98.74/99.17 (91972) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 98.74/99.17 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 98.74/99.17 sdtasdt0( Z, X ), Y = Z }.
% 98.74/99.17 (91973) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 98.74/99.17 (91974) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 98.74/99.17 (91975) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 98.74/99.17 (91976) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 98.74/99.17 (91977) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 98.74/99.17 (91978) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 98.74/99.17 }.
% 98.74/99.17 (91979) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 98.74/99.17 }.
% 98.74/99.17 (91980) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 98.74/99.17 }.
% 98.74/99.17 (91981) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 98.74/99.17 , Z = sdtmndt0( Y, X ) }.
% 98.74/99.17 (91982) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 98.74/99.17 }.
% 98.74/99.17 (91983) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 98.74/99.17 (91984) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 98.74/99.17 sdtlseqdt0( X, Z ) }.
% 98.74/99.17 (91985) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 98.74/99.17 (91986) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 98.74/99.17 (91987) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 98.74/99.17 ) }.
% 98.74/99.17 (91988) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 98.74/99.17 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 98.74/99.17 (91989) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 98.74/99.17 sdtpldt0( Z, Y ) }.
% 98.74/99.17 (91990) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 98.74/99.17 Z, X ), sdtpldt0( Z, Y ) ) }.
% 98.74/99.17 (91991) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 98.74/99.17 sdtpldt0( Y, Z ) }.
% 98.74/99.17 (91992) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 98.74/99.17 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 98.74/99.17 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 98.74/99.17 (91993) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 98.74/99.17 alpha2( X, Y, Z ) }.
% 98.74/99.17 (91994) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 98.74/99.17 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 98.74/99.17 (91995) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 98.74/99.17 sdtasdt0( X, Z ) }.
% 98.74/99.17 (91996) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 98.74/99.17 X, Y ), sdtasdt0( X, Z ) ) }.
% 98.74/99.17 (91997) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 98.74/99.17 sdtasdt0( Z, X ) }.
% 98.74/99.17 (91998) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 98.74/99.17 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 98.74/99.17 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 98.74/99.17 (91999) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 98.74/99.17 , ! sz10 = X }.
% 98.74/99.17 (92000) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 98.74/99.17 , sdtlseqdt0( sz10, X ) }.
% 98.74/99.17 (92001) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 98.74/99.17 (92002) {G0,W1,D1,L1,V0,M1} { && }.
% 98.74/99.17 (92003) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 98.74/99.17 (92004) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 98.74/99.17 (92005) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 98.74/99.17 (92006) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 98.74/99.17 }.
% 98.74/99.17 (92007) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 98.74/99.17 aNaturalNumber0( Z ) }.
% 98.74/99.17 (92008) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 98.74/99.17 ( X, Z ) }.
% 98.74/99.17 (92009) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 98.74/99.17 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 98.74/99.17 (92010) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 98.74/99.17 doDivides0( X, Z ) }.
% 98.74/99.17 (92011) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 98.74/99.17 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 98.74/99.17 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 98.74/99.17 (92012) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 98.74/99.17 (92013) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 98.74/99.17 (92014) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 98.74/99.17 (92015) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 98.74/99.17 (92016) {G0,W5,D3,L1,V0,M1} { xm = sdtasdt0( xl, skol3 ) }.
% 98.74/99.17 (92017) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 98.74/99.17 (92018) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol5 ) }.
% 98.74/99.17 (92019) {G0,W7,D3,L1,V0,M1} { sdtpldt0( xm, xn ) = sdtasdt0( xl, skol5 )
% 98.74/99.17 }.
% 98.74/99.17 (92020) {G0,W5,D3,L1,V0,M1} { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 98.74/99.17 (92021) {G0,W3,D2,L1,V0,M1} { ! xl = sz00 }.
% 98.74/99.17 (92022) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 98.74/99.17 (92023) {G0,W5,D3,L1,V0,M1} { xm = sdtasdt0( xl, xp ) }.
% 98.74/99.17 (92024) {G0,W5,D3,L1,V0,M1} { xp = sdtsldt0( xm, xl ) }.
% 98.74/99.17 (92025) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xq ) }.
% 98.74/99.17 (92026) {G0,W7,D3,L1,V0,M1} { sdtpldt0( xm, xn ) = sdtasdt0( xl, xq ) }.
% 98.74/99.17 (92027) {G0,W7,D4,L1,V0,M1} { xq = sdtsldt0( sdtpldt0( xm, xn ), xl ) }.
% 98.74/99.17 (92028) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol4 ) }.
% 98.74/99.17 (92029) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, skol4 ) = xq }.
% 98.74/99.17 (92030) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xq ) }.
% 98.74/99.17 (92031) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 98.74/99.17 (92032) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, xr ) = xq }.
% 98.74/99.17 (92033) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xq, xp ) }.
% 98.74/99.17 (92034) {G0,W13,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0( xl
% 98.74/99.17 , xr ) ) = sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 98.74/99.17 (92035) {G0,W5,D3,L1,V0,M1} { ! xn = sdtasdt0( xl, xr ) }.
% 98.74/99.17
% 98.74/99.17
% 98.74/99.17 Total Proof:
% 98.74/99.17
% 98.74/99.17 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.74/99.17 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 98.74/99.17 parent0: (91955) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 98.74/99.17 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 98.74/99.17 substitution0:
% 98.74/99.17 X := X
% 98.74/99.17 Y := Y
% 98.74/99.17 end
% 98.74/99.17 permutation0:
% 98.74/99.17 0 ==> 0
% 98.74/99.17 1 ==> 1
% 98.74/99.17 2 ==> 2
% 98.74/99.17 end
% 98.74/99.17
% 98.74/99.17 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.74/99.17 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 98.74/99.17 parent0: (91956) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 98.74/99.17 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 98.74/99.17 substitution0:
% 98.74/99.17 X := X
% 98.74/99.17 Y := Y
% 98.74/99.17 end
% 98.74/99.17 permutation0:
% 98.74/99.17 0 ==> 0
% 98.74/99.17 1 ==> 1
% 98.74/99.17 2 ==> 2
% 98.74/99.17 end
% 98.74/99.17
% 98.74/99.17 subsumption: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.74/99.17 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 98.74/99.17 parent0: (91957) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 98.74/99.17 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 2 ==> 2
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 98.81/99.18 parent0: (91961) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 2 ==> 2
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 98.81/99.18 sdtpldt0( X, Z ), Y = Z }.
% 98.81/99.18 parent0: (91969) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 98.81/99.18 sdtpldt0( X, Z ), Y = Z }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 Z := Z
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 2 ==> 2
% 98.81/99.18 3 ==> 3
% 98.81/99.18 4 ==> 4
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 98.81/99.18 sdtlseqdt0( X, Y ) }.
% 98.81/99.18 parent0: (91978) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 98.81/99.18 sdtlseqdt0( X, Y ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 Z := Z
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 2 ==> 2
% 98.81/99.18 3 ==> 3
% 98.81/99.18 4 ==> 4
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 98.81/99.18 aNaturalNumber0( Z ) }.
% 98.81/99.18 parent0: (91979) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 98.81/99.18 aNaturalNumber0( Z ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 Z := Z
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 2 ==> 2
% 98.81/99.18 3 ==> 3
% 98.81/99.18 4 ==> 4
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 98.81/99.18 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 98.81/99.18 parent0: (91981) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 98.81/99.18 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 Z := Z
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 2 ==> 2
% 98.81/99.18 3 ==> 3
% 98.81/99.18 4 ==> 4
% 98.81/99.18 5 ==> 5
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 98.81/99.18 parent0: (92012) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 98.81/99.18 parent0: (92013) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 98.81/99.18 parent0: (92014) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqswap: (94111) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xl, xp ) = xm }.
% 98.81/99.18 parent0[0]: (92023) {G0,W5,D3,L1,V0,M1} { xm = sdtasdt0( xl, xp ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (71) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, xp ) ==> xm }.
% 98.81/99.18 parent0: (94111) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xl, xp ) = xm }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (79) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 98.81/99.18 parent0: (92031) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 paramod: (94971) {G1,W11,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xl, xp ),
% 98.81/99.18 sdtasdt0( xl, xr ) ) = sdtpldt0( xm, xn ) }.
% 98.81/99.18 parent0[0]: (71) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, xp ) ==> xm }.
% 98.81/99.18 parent1[0; 9]: (92034) {G0,W13,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xl, xp )
% 98.81/99.18 , sdtasdt0( xl, xr ) ) = sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 substitution1:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 paramod: (94972) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xm, sdtasdt0( xl, xr ) )
% 98.81/99.18 = sdtpldt0( xm, xn ) }.
% 98.81/99.18 parent0[0]: (71) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, xp ) ==> xm }.
% 98.81/99.18 parent1[0; 2]: (94971) {G1,W11,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xl, xp )
% 98.81/99.18 , sdtasdt0( xl, xr ) ) = sdtpldt0( xm, xn ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 substitution1:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (82) {G1,W9,D4,L1,V0,M1} I;d(71) { sdtpldt0( xm, sdtasdt0( xl
% 98.81/99.18 , xr ) ) ==> sdtpldt0( xm, xn ) }.
% 98.81/99.18 parent0: (94972) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xm, sdtasdt0( xl, xr ) )
% 98.81/99.18 = sdtpldt0( xm, xn ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqswap: (95361) {G0,W5,D3,L1,V0,M1} { ! sdtasdt0( xl, xr ) = xn }.
% 98.81/99.18 parent0[0]: (92035) {G0,W5,D3,L1,V0,M1} { ! xn = sdtasdt0( xl, xr ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (83) {G0,W5,D3,L1,V0,M1} I { ! sdtasdt0( xl, xr ) ==> xn }.
% 98.81/99.18 parent0: (95361) {G0,W5,D3,L1,V0,M1} { ! sdtasdt0( xl, xr ) = xn }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 factor: (95362) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 98.81/99.18 aNaturalNumber0( sdtpldt0( X, X ) ) }.
% 98.81/99.18 parent0[0, 1]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := X
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (84) {G1,W6,D3,L2,V1,M2} F(4) { ! aNaturalNumber0( X ),
% 98.81/99.18 aNaturalNumber0( sdtpldt0( X, X ) ) }.
% 98.81/99.18 parent0: (95362) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 98.81/99.18 aNaturalNumber0( sdtpldt0( X, X ) ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 factor: (95365) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = Y, sdtlseqdt0( X, Y ) }.
% 98.81/99.18 parent0[0, 2]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 98.81/99.18 sdtlseqdt0( X, Y ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 Z := X
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (117) {G1,W12,D3,L4,V2,M4} F(27) { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = Y, sdtlseqdt0( X, Y ) }.
% 98.81/99.18 parent0: (95365) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = Y, sdtlseqdt0( X, Y ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 2 ==> 2
% 98.81/99.18 3 ==> 3
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqswap: (95372) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 98.81/99.18 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 98.81/99.18 sdtlseqdt0( X, Z ) }.
% 98.81/99.18 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 98.81/99.18 sdtlseqdt0( X, Y ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Z
% 98.81/99.18 Z := Y
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqrefl: (95373) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 98.81/99.18 X, sdtpldt0( X, Y ) ) }.
% 98.81/99.18 parent0[0]: (95372) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 98.81/99.18 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 98.81/99.18 sdtlseqdt0( X, Z ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 Z := sdtpldt0( X, Y )
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 resolution: (95378) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 98.81/99.18 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 98.81/99.18 parent0[1]: (95373) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 98.81/99.18 X, sdtpldt0( X, Y ) ) }.
% 98.81/99.18 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18 substitution1:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 factor: (95380) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 98.81/99.18 aNaturalNumber0( Y ) }.
% 98.81/99.18 parent0[0, 3]: (95378) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 98.81/99.18 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 factor: (95382) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 98.81/99.18 parent0[1, 3]: (95380) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 98.81/99.18 aNaturalNumber0( Y ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (119) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X )
% 98.81/99.18 , ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 98.81/99.18 parent0: (95382) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 2 ==> 2
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqswap: (95384) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 98.81/99.18 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 98.81/99.18 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 98.81/99.18 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 98.81/99.18 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Z
% 98.81/99.18 Z := Y
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqrefl: (95387) {G0,W20,D4,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( sdtpldt0( X, Y ) ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) )
% 98.81/99.18 , ! aNaturalNumber0( Y ), Y = sdtmndt0( sdtpldt0( X, Y ), X ) }.
% 98.81/99.18 parent0[0]: (95384) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 98.81/99.18 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 98.81/99.18 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 Z := sdtpldt0( X, Y )
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 resolution: (95395) {G1,W20,D4,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 98.81/99.18 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), Y = sdtmndt0(
% 98.81/99.18 sdtpldt0( X, Y ), X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 98.81/99.18 parent0[1]: (95387) {G0,W20,D4,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( sdtpldt0( X, Y ) ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) )
% 98.81/99.18 , ! aNaturalNumber0( Y ), Y = sdtmndt0( sdtpldt0( X, Y ), X ) }.
% 98.81/99.18 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18 substitution1:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqswap: (95396) {G1,W20,D4,L6,V2,M6} { sdtmndt0( sdtpldt0( Y, X ), Y ) = X
% 98.81/99.18 , ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, sdtpldt0( Y, X ) ), !
% 98.81/99.18 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 98.81/99.18 parent0[3]: (95395) {G1,W20,D4,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 98.81/99.18 sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), Y = sdtmndt0(
% 98.81/99.18 sdtpldt0( X, Y ), X ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := Y
% 98.81/99.18 Y := X
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 factor: (95398) {G1,W18,D4,L5,V2,M5} { sdtmndt0( sdtpldt0( X, Y ), X ) = Y
% 98.81/99.18 , ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 98.81/99.18 parent0[1, 4]: (95396) {G1,W20,D4,L6,V2,M6} { sdtmndt0( sdtpldt0( Y, X ),
% 98.81/99.18 Y ) = X, ! aNaturalNumber0( Y ), ! sdtlseqdt0( Y, sdtpldt0( Y, X ) ), !
% 98.81/99.18 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := Y
% 98.81/99.18 Y := X
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 factor: (95400) {G1,W16,D4,L4,V2,M4} { sdtmndt0( sdtpldt0( X, Y ), X ) = Y
% 98.81/99.18 , ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 98.81/99.18 aNaturalNumber0( Y ) }.
% 98.81/99.18 parent0[3, 4]: (95398) {G1,W18,D4,L5,V2,M5} { sdtmndt0( sdtpldt0( X, Y ),
% 98.81/99.18 X ) = Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 98.81/99.18 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (130) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X )
% 98.81/99.18 , ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0(
% 98.81/99.18 sdtpldt0( X, Y ), X ) ==> Y }.
% 98.81/99.18 parent0: (95400) {G1,W16,D4,L4,V2,M4} { sdtmndt0( sdtpldt0( X, Y ), X ) =
% 98.81/99.18 Y, ! aNaturalNumber0( X ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 98.81/99.18 aNaturalNumber0( Y ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := Y
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 3
% 98.81/99.18 1 ==> 0
% 98.81/99.18 2 ==> 1
% 98.81/99.18 3 ==> 2
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 factor: (95409) {G1,W14,D4,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 98.81/99.18 sdtlseqdt0( X, sdtpldt0( X, X ) ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X
% 98.81/99.18 }.
% 98.81/99.18 parent0[0, 2]: (130) {G1,W16,D4,L4,V2,M4} Q(30);r(4) { ! aNaturalNumber0( X
% 98.81/99.18 ), ! sdtlseqdt0( X, sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtmndt0
% 98.81/99.18 ( sdtpldt0( X, Y ), X ) ==> Y }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := X
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 resolution: (95410) {G2,W13,D4,L4,V1,M4} { ! aNaturalNumber0( X ),
% 98.81/99.18 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( X ) }.
% 98.81/99.18 parent0[1]: (95409) {G1,W14,D4,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 98.81/99.18 sdtlseqdt0( X, sdtpldt0( X, X ) ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X
% 98.81/99.18 }.
% 98.81/99.18 parent1[2]: (119) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ),
% 98.81/99.18 ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 end
% 98.81/99.18 substitution1:
% 98.81/99.18 X := X
% 98.81/99.18 Y := X
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 factor: (95414) {G2,W11,D4,L3,V1,M3} { ! aNaturalNumber0( X ), sdtmndt0(
% 98.81/99.18 sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ) }.
% 98.81/99.18 parent0[0, 2]: (95410) {G2,W13,D4,L4,V1,M4} { ! aNaturalNumber0( X ),
% 98.81/99.18 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( X ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 factor: (95415) {G2,W9,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0(
% 98.81/99.18 sdtpldt0( X, X ), X ) ==> X }.
% 98.81/99.18 parent0[0, 2]: (95414) {G2,W11,D4,L3,V1,M3} { ! aNaturalNumber0( X ),
% 98.81/99.18 sdtmndt0( sdtpldt0( X, X ), X ) ==> X, ! aNaturalNumber0( X ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (131) {G2,W9,D4,L2,V1,M2} F(130);r(119) { ! aNaturalNumber0( X
% 98.81/99.18 ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X }.
% 98.81/99.18 parent0: (95415) {G2,W9,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0(
% 98.81/99.18 sdtpldt0( X, X ), X ) ==> X }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 resolution: (95417) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 98.81/99.18 aNaturalNumber0( sdtasdt0( X, xl ) ) }.
% 98.81/99.18 parent0[1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 98.81/99.18 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 Y := xl
% 98.81/99.18 end
% 98.81/99.18 substitution1:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (253) {G1,W6,D3,L2,V1,M2} R(5,60) { ! aNaturalNumber0( X ),
% 98.81/99.18 aNaturalNumber0( sdtasdt0( X, xl ) ) }.
% 98.81/99.18 parent0: (95417) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 98.81/99.18 aNaturalNumber0( sdtasdt0( X, xl ) ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 resolution: (95418) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0
% 98.81/99.18 ( xm, X ) = sdtpldt0( X, xm ) }.
% 98.81/99.18 parent0[0]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 98.81/99.18 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := xm
% 98.81/99.18 Y := X
% 98.81/99.18 end
% 98.81/99.18 substitution1:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (294) {G1,W9,D3,L2,V1,M2} R(6,61) { ! aNaturalNumber0( X ),
% 98.81/99.18 sdtpldt0( xm, X ) = sdtpldt0( X, xm ) }.
% 98.81/99.18 parent0: (95418) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0(
% 98.81/99.18 xm, X ) = sdtpldt0( X, xm ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := X
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqswap: (95420) {G0,W5,D3,L1,V0,M1} { ! xn ==> sdtasdt0( xl, xr ) }.
% 98.81/99.18 parent0[0]: (83) {G0,W5,D3,L1,V0,M1} I { ! sdtasdt0( xl, xr ) ==> xn }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 paramod: (95421) {G1,W9,D3,L3,V0,M3} { ! xn ==> sdtasdt0( xr, xl ), !
% 98.81/99.18 aNaturalNumber0( xl ), ! aNaturalNumber0( xr ) }.
% 98.81/99.18 parent0[2]: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.81/99.18 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 98.81/99.18 parent1[0; 3]: (95420) {G0,W5,D3,L1,V0,M1} { ! xn ==> sdtasdt0( xl, xr )
% 98.81/99.18 }.
% 98.81/99.18 substitution0:
% 98.81/99.18 X := xl
% 98.81/99.18 Y := xr
% 98.81/99.18 end
% 98.81/99.18 substitution1:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 resolution: (95461) {G1,W7,D3,L2,V0,M2} { ! xn ==> sdtasdt0( xr, xl ), !
% 98.81/99.18 aNaturalNumber0( xr ) }.
% 98.81/99.18 parent0[1]: (95421) {G1,W9,D3,L3,V0,M3} { ! xn ==> sdtasdt0( xr, xl ), !
% 98.81/99.18 aNaturalNumber0( xl ), ! aNaturalNumber0( xr ) }.
% 98.81/99.18 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 substitution1:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqswap: (95462) {G1,W7,D3,L2,V0,M2} { ! sdtasdt0( xr, xl ) ==> xn, !
% 98.81/99.18 aNaturalNumber0( xr ) }.
% 98.81/99.18 parent0[0]: (95461) {G1,W7,D3,L2,V0,M2} { ! xn ==> sdtasdt0( xr, xl ), !
% 98.81/99.18 aNaturalNumber0( xr ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 subsumption: (422) {G1,W7,D3,L2,V0,M2} P(10,83);r(60) { ! sdtasdt0( xr, xl
% 98.81/99.18 ) ==> xn, ! aNaturalNumber0( xr ) }.
% 98.81/99.18 parent0: (95462) {G1,W7,D3,L2,V0,M2} { ! sdtasdt0( xr, xl ) ==> xn, !
% 98.81/99.18 aNaturalNumber0( xr ) }.
% 98.81/99.18 substitution0:
% 98.81/99.18 end
% 98.81/99.18 permutation0:
% 98.81/99.18 0 ==> 0
% 98.81/99.18 1 ==> 1
% 98.81/99.18 end
% 98.81/99.18
% 98.81/99.18 eqswap: (95463) {G0,W16,D3,L5,V3,M5} { ! sdtpldt0( X, Z ) = sdtpldt0( X, Y
% 98.81/99.19 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z
% 98.81/99.19 ), Y = Z }.
% 98.81/99.19 parent0[3]: (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 98.81/99.19 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 98.81/99.19 sdtpldt0( X, Z ), Y = Z }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 Y := Y
% 98.81/99.19 Z := Z
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95464) {G1,W14,D3,L4,V2,M4} { ! sdtpldt0( xm, X ) = sdtpldt0
% 98.81/99.19 ( xm, Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), Y = X }.
% 98.81/99.19 parent0[1]: (95463) {G0,W16,D3,L5,V3,M5} { ! sdtpldt0( X, Z ) = sdtpldt0(
% 98.81/99.19 X, Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0
% 98.81/99.19 ( Z ), Y = Z }.
% 98.81/99.19 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := xm
% 98.81/99.19 Y := Y
% 98.81/99.19 Z := X
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95469) {G1,W14,D3,L4,V2,M4} { ! sdtpldt0( xm, Y ) = sdtpldt0( xm
% 98.81/99.19 , X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), Y = X }.
% 98.81/99.19 parent0[0]: (95464) {G1,W14,D3,L4,V2,M4} { ! sdtpldt0( xm, X ) = sdtpldt0
% 98.81/99.19 ( xm, Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), Y = X }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 Y := Y
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (718) {G1,W14,D3,L4,V2,M4} R(18,61) { ! aNaturalNumber0( X ),
% 98.81/99.19 ! aNaturalNumber0( Y ), ! sdtpldt0( xm, X ) = sdtpldt0( xm, Y ), X = Y
% 98.81/99.19 }.
% 98.81/99.19 parent0: (95469) {G1,W14,D3,L4,V2,M4} { ! sdtpldt0( xm, Y ) = sdtpldt0( xm
% 98.81/99.19 , X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), Y = X }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := Y
% 98.81/99.19 Y := X
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 2
% 98.81/99.19 1 ==> 0
% 98.81/99.19 2 ==> 1
% 98.81/99.19 3 ==> 3
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95475) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xm, xn ) ==> sdtpldt0( xm
% 98.81/99.19 , sdtasdt0( xl, xr ) ) }.
% 98.81/99.19 parent0[0]: (82) {G1,W9,D4,L1,V0,M1} I;d(71) { sdtpldt0( xm, sdtasdt0( xl,
% 98.81/99.19 xr ) ) ==> sdtpldt0( xm, xn ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 paramod: (95476) {G1,W13,D4,L3,V0,M3} { sdtpldt0( xm, xn ) ==> sdtpldt0(
% 98.81/99.19 xm, sdtasdt0( xr, xl ) ), ! aNaturalNumber0( xl ), ! aNaturalNumber0( xr
% 98.81/99.19 ) }.
% 98.81/99.19 parent0[2]: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 98.81/99.19 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 98.81/99.19 parent1[0; 6]: (95475) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xm, xn ) ==>
% 98.81/99.19 sdtpldt0( xm, sdtasdt0( xl, xr ) ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := xl
% 98.81/99.19 Y := xr
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95516) {G1,W11,D4,L2,V0,M2} { sdtpldt0( xm, xn ) ==> sdtpldt0
% 98.81/99.19 ( xm, sdtasdt0( xr, xl ) ), ! aNaturalNumber0( xr ) }.
% 98.81/99.19 parent0[1]: (95476) {G1,W13,D4,L3,V0,M3} { sdtpldt0( xm, xn ) ==> sdtpldt0
% 98.81/99.19 ( xm, sdtasdt0( xr, xl ) ), ! aNaturalNumber0( xl ), ! aNaturalNumber0(
% 98.81/99.19 xr ) }.
% 98.81/99.19 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95517) {G1,W11,D4,L2,V0,M2} { sdtpldt0( xm, sdtasdt0( xr, xl ) )
% 98.81/99.19 ==> sdtpldt0( xm, xn ), ! aNaturalNumber0( xr ) }.
% 98.81/99.19 parent0[0]: (95516) {G1,W11,D4,L2,V0,M2} { sdtpldt0( xm, xn ) ==> sdtpldt0
% 98.81/99.19 ( xm, sdtasdt0( xr, xl ) ), ! aNaturalNumber0( xr ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (10353) {G2,W11,D4,L2,V0,M2} P(10,82);r(60) { sdtpldt0( xm,
% 98.81/99.19 sdtasdt0( xr, xl ) ) ==> sdtpldt0( xm, xn ), ! aNaturalNumber0( xr ) }.
% 98.81/99.19 parent0: (95517) {G1,W11,D4,L2,V0,M2} { sdtpldt0( xm, sdtasdt0( xr, xl ) )
% 98.81/99.19 ==> sdtpldt0( xm, xn ), ! aNaturalNumber0( xr ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 0
% 98.81/99.19 1 ==> 1
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95518) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( xn,
% 98.81/99.19 xn ) ) }.
% 98.81/99.19 parent0[0]: (84) {G1,W6,D3,L2,V1,M2} F(4) { ! aNaturalNumber0( X ),
% 98.81/99.19 aNaturalNumber0( sdtpldt0( X, X ) ) }.
% 98.81/99.19 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := xn
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (10450) {G2,W4,D3,L1,V0,M1} R(84,62) { aNaturalNumber0(
% 98.81/99.19 sdtpldt0( xn, xn ) ) }.
% 98.81/99.19 parent0: (95518) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( xn, xn )
% 98.81/99.19 ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 0
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95519) {G1,W12,D3,L4,V2,M4} { ! Y = sdtpldt0( X, X ), !
% 98.81/99.19 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ) }.
% 98.81/99.19 parent0[2]: (117) {G1,W12,D3,L4,V2,M4} F(27) { ! aNaturalNumber0( X ), !
% 98.81/99.19 aNaturalNumber0( Y ), ! sdtpldt0( X, X ) = Y, sdtlseqdt0( X, Y ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 Y := Y
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95520) {G1,W10,D3,L3,V1,M3} { ! X = sdtpldt0( xn, xn ), !
% 98.81/99.19 aNaturalNumber0( X ), sdtlseqdt0( xn, X ) }.
% 98.81/99.19 parent0[1]: (95519) {G1,W12,D3,L4,V2,M4} { ! Y = sdtpldt0( X, X ), !
% 98.81/99.19 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ) }.
% 98.81/99.19 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := xn
% 98.81/99.19 Y := X
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95523) {G1,W10,D3,L3,V1,M3} { ! sdtpldt0( xn, xn ) = X, !
% 98.81/99.19 aNaturalNumber0( X ), sdtlseqdt0( xn, X ) }.
% 98.81/99.19 parent0[0]: (95520) {G1,W10,D3,L3,V1,M3} { ! X = sdtpldt0( xn, xn ), !
% 98.81/99.19 aNaturalNumber0( X ), sdtlseqdt0( xn, X ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (13817) {G2,W10,D3,L3,V1,M3} R(117,62) { ! aNaturalNumber0( X
% 98.81/99.19 ), ! sdtpldt0( xn, xn ) = X, sdtlseqdt0( xn, X ) }.
% 98.81/99.19 parent0: (95523) {G1,W10,D3,L3,V1,M3} { ! sdtpldt0( xn, xn ) = X, !
% 98.81/99.19 aNaturalNumber0( X ), sdtlseqdt0( xn, X ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 1
% 98.81/99.19 1 ==> 0
% 98.81/99.19 2 ==> 2
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95524) {G2,W10,D3,L3,V1,M3} { ! X = sdtpldt0( xn, xn ), !
% 98.81/99.19 aNaturalNumber0( X ), sdtlseqdt0( xn, X ) }.
% 98.81/99.19 parent0[1]: (13817) {G2,W10,D3,L3,V1,M3} R(117,62) { ! aNaturalNumber0( X )
% 98.81/99.19 , ! sdtpldt0( xn, xn ) = X, sdtlseqdt0( xn, X ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqrefl: (95525) {G0,W9,D3,L2,V0,M2} { ! aNaturalNumber0( sdtpldt0( xn, xn
% 98.81/99.19 ) ), sdtlseqdt0( xn, sdtpldt0( xn, xn ) ) }.
% 98.81/99.19 parent0[0]: (95524) {G2,W10,D3,L3,V1,M3} { ! X = sdtpldt0( xn, xn ), !
% 98.81/99.19 aNaturalNumber0( X ), sdtlseqdt0( xn, X ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := sdtpldt0( xn, xn )
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95526) {G1,W5,D3,L1,V0,M1} { sdtlseqdt0( xn, sdtpldt0( xn, xn
% 98.81/99.19 ) ) }.
% 98.81/99.19 parent0[0]: (95525) {G0,W9,D3,L2,V0,M2} { ! aNaturalNumber0( sdtpldt0( xn
% 98.81/99.19 , xn ) ), sdtlseqdt0( xn, sdtpldt0( xn, xn ) ) }.
% 98.81/99.19 parent1[0]: (10450) {G2,W4,D3,L1,V0,M1} R(84,62) { aNaturalNumber0(
% 98.81/99.19 sdtpldt0( xn, xn ) ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (13830) {G3,W5,D3,L1,V0,M1} Q(13817);r(10450) { sdtlseqdt0( xn
% 98.81/99.19 , sdtpldt0( xn, xn ) ) }.
% 98.81/99.19 parent0: (95526) {G1,W5,D3,L1,V0,M1} { sdtlseqdt0( xn, sdtpldt0( xn, xn )
% 98.81/99.19 ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 0
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95527) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 98.81/99.19 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 98.81/99.19 aNaturalNumber0( X ) }.
% 98.81/99.19 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 98.81/99.19 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 98.81/99.19 aNaturalNumber0( Z ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := Z
% 98.81/99.19 Y := Y
% 98.81/99.19 Z := X
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95529) {G1,W15,D4,L4,V1,M4} { ! sdtmndt0( sdtpldt0( xn, xn )
% 98.81/99.19 , xn ) = X, ! aNaturalNumber0( xn ), ! aNaturalNumber0( sdtpldt0( xn, xn
% 98.81/99.19 ) ), aNaturalNumber0( X ) }.
% 98.81/99.19 parent0[3]: (95527) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 98.81/99.19 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 98.81/99.19 aNaturalNumber0( X ) }.
% 98.81/99.19 parent1[0]: (13830) {G3,W5,D3,L1,V0,M1} Q(13817);r(10450) { sdtlseqdt0( xn
% 98.81/99.19 , sdtpldt0( xn, xn ) ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 Y := sdtpldt0( xn, xn )
% 98.81/99.19 Z := xn
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 paramod: (95530) {G2,W13,D3,L5,V1,M5} { ! xn = X, ! aNaturalNumber0( xn )
% 98.81/99.19 , ! aNaturalNumber0( xn ), ! aNaturalNumber0( sdtpldt0( xn, xn ) ),
% 98.81/99.19 aNaturalNumber0( X ) }.
% 98.81/99.19 parent0[1]: (131) {G2,W9,D4,L2,V1,M2} F(130);r(119) { ! aNaturalNumber0( X
% 98.81/99.19 ), sdtmndt0( sdtpldt0( X, X ), X ) ==> X }.
% 98.81/99.19 parent1[0; 2]: (95529) {G1,W15,D4,L4,V1,M4} { ! sdtmndt0( sdtpldt0( xn, xn
% 98.81/99.19 ), xn ) = X, ! aNaturalNumber0( xn ), ! aNaturalNumber0( sdtpldt0( xn,
% 98.81/99.19 xn ) ), aNaturalNumber0( X ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := xn
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 factor: (95531) {G2,W11,D3,L4,V1,M4} { ! xn = X, ! aNaturalNumber0( xn ),
% 98.81/99.19 ! aNaturalNumber0( sdtpldt0( xn, xn ) ), aNaturalNumber0( X ) }.
% 98.81/99.19 parent0[1, 2]: (95530) {G2,W13,D3,L5,V1,M5} { ! xn = X, ! aNaturalNumber0
% 98.81/99.19 ( xn ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( sdtpldt0( xn, xn ) )
% 98.81/99.19 , aNaturalNumber0( X ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95532) {G1,W9,D3,L3,V1,M3} { ! xn = X, ! aNaturalNumber0(
% 98.81/99.19 sdtpldt0( xn, xn ) ), aNaturalNumber0( X ) }.
% 98.81/99.19 parent0[1]: (95531) {G2,W11,D3,L4,V1,M4} { ! xn = X, ! aNaturalNumber0( xn
% 98.81/99.19 ), ! aNaturalNumber0( sdtpldt0( xn, xn ) ), aNaturalNumber0( X ) }.
% 98.81/99.19 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95533) {G1,W9,D3,L3,V1,M3} { ! X = xn, ! aNaturalNumber0(
% 98.81/99.19 sdtpldt0( xn, xn ) ), aNaturalNumber0( X ) }.
% 98.81/99.19 parent0[0]: (95532) {G1,W9,D3,L3,V1,M3} { ! xn = X, ! aNaturalNumber0(
% 98.81/99.19 sdtpldt0( xn, xn ) ), aNaturalNumber0( X ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (13865) {G4,W9,D3,L3,V1,M3} R(13830,28);d(131);r(62) { !
% 98.81/99.19 aNaturalNumber0( sdtpldt0( xn, xn ) ), aNaturalNumber0( X ), ! X = xn }.
% 98.81/99.19 parent0: (95533) {G1,W9,D3,L3,V1,M3} { ! X = xn, ! aNaturalNumber0(
% 98.81/99.19 sdtpldt0( xn, xn ) ), aNaturalNumber0( X ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 2
% 98.81/99.19 1 ==> 0
% 98.81/99.19 2 ==> 1
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95534) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xr,
% 98.81/99.19 xl ) ) }.
% 98.81/99.19 parent0[0]: (253) {G1,W6,D3,L2,V1,M2} R(5,60) { ! aNaturalNumber0( X ),
% 98.81/99.19 aNaturalNumber0( sdtasdt0( X, xl ) ) }.
% 98.81/99.19 parent1[0]: (79) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := xr
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (15681) {G2,W4,D3,L1,V0,M1} R(253,79) { aNaturalNumber0(
% 98.81/99.19 sdtasdt0( xr, xl ) ) }.
% 98.81/99.19 parent0: (95534) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xr, xl )
% 98.81/99.19 ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 0
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95536) {G3,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! X = xn
% 98.81/99.19 }.
% 98.81/99.19 parent0[0]: (13865) {G4,W9,D3,L3,V1,M3} R(13830,28);d(131);r(62) { !
% 98.81/99.19 aNaturalNumber0( sdtpldt0( xn, xn ) ), aNaturalNumber0( X ), ! X = xn }.
% 98.81/99.19 parent1[0]: (10450) {G2,W4,D3,L1,V0,M1} R(84,62) { aNaturalNumber0(
% 98.81/99.19 sdtpldt0( xn, xn ) ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (21113) {G5,W5,D2,L2,V1,M2} S(13865);r(10450) {
% 98.81/99.19 aNaturalNumber0( X ), ! X = xn }.
% 98.81/99.19 parent0: (95536) {G3,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! X = xn }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 0
% 98.81/99.19 1 ==> 1
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95539) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xm, sdtasdt0( xr, xl )
% 98.81/99.19 ) ==> sdtpldt0( xm, xn ) }.
% 98.81/99.19 parent0[1]: (10353) {G2,W11,D4,L2,V0,M2} P(10,82);r(60) { sdtpldt0( xm,
% 98.81/99.19 sdtasdt0( xr, xl ) ) ==> sdtpldt0( xm, xn ), ! aNaturalNumber0( xr ) }.
% 98.81/99.19 parent1[0]: (79) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (21680) {G3,W9,D4,L1,V0,M1} S(10353);r(79) { sdtpldt0( xm,
% 98.81/99.19 sdtasdt0( xr, xl ) ) ==> sdtpldt0( xm, xn ) }.
% 98.81/99.19 parent0: (95539) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xm, sdtasdt0( xr, xl ) )
% 98.81/99.19 ==> sdtpldt0( xm, xn ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 0
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95542) {G1,W5,D3,L1,V0,M1} { ! sdtasdt0( xr, xl ) ==> xn }.
% 98.81/99.19 parent0[1]: (422) {G1,W7,D3,L2,V0,M2} P(10,83);r(60) { ! sdtasdt0( xr, xl )
% 98.81/99.19 ==> xn, ! aNaturalNumber0( xr ) }.
% 98.81/99.19 parent1[0]: (79) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (22334) {G2,W5,D3,L1,V0,M1} S(422);r(79) { ! sdtasdt0( xr, xl
% 98.81/99.19 ) ==> xn }.
% 98.81/99.19 parent0: (95542) {G1,W5,D3,L1,V0,M1} { ! sdtasdt0( xr, xl ) ==> xn }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19 permutation0:
% 98.81/99.19 0 ==> 0
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95544) {G1,W9,D3,L2,V1,M2} { sdtpldt0( X, xm ) = sdtpldt0( xm, X
% 98.81/99.19 ), ! aNaturalNumber0( X ) }.
% 98.81/99.19 parent0[1]: (294) {G1,W9,D3,L2,V1,M2} R(6,61) { ! aNaturalNumber0( X ),
% 98.81/99.19 sdtpldt0( xm, X ) = sdtpldt0( X, xm ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := X
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 resolution: (95545) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xn, xm ) = sdtpldt0(
% 98.81/99.19 xm, xn ) }.
% 98.81/99.19 parent0[1]: (95544) {G1,W9,D3,L2,V1,M2} { sdtpldt0( X, xm ) = sdtpldt0( xm
% 98.81/99.19 , X ), ! aNaturalNumber0( X ) }.
% 98.81/99.19 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 X := xn
% 98.81/99.19 end
% 98.81/99.19 substitution1:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 eqswap: (95546) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xm, xn ) = sdtpldt0( xn,
% 98.81/99.19 xm ) }.
% 98.81/99.19 parent0[0]: (95545) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xn, xm ) = sdtpldt0(
% 98.81/99.19 xm, xn ) }.
% 98.81/99.19 substitution0:
% 98.81/99.19 end
% 98.81/99.19
% 98.81/99.19 subsumption: (48148) {G2,W7,D3,L1,V0,M1} R(294,62) { sdtpldt0( xm, xn ) ==>
% 98.81/99.19 sdtpldt0( xn, xm ) }.
% 98.81/99.19 parent0: (95546) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xm, xn ) = sdtpldt0( xn,
% 98.81/99.19 xm ) }.
% 98.81/99.19 subCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------