TSTP Solution File: NUM505+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM505+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 06:23:00 EDT 2022
% Result : Theorem 10.35s 10.76s
% Output : Refutation 10.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM505+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.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 12:23:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/1.07 *** allocated 10000 integers for termspace/termends
% 0.40/1.07 *** allocated 10000 integers for clauses
% 0.40/1.07 *** allocated 10000 integers for justifications
% 0.40/1.07 Bliksem 1.12
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 Automatic Strategy Selection
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 Clauses:
% 0.40/1.07
% 0.40/1.07 { && }.
% 0.40/1.07 { aNaturalNumber0( sz00 ) }.
% 0.40/1.07 { aNaturalNumber0( sz10 ) }.
% 0.40/1.07 { ! sz10 = sz00 }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.40/1.07 ( X, Y ) ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.40/1.07 ( X, Y ) ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.40/1.07 sdtpldt0( Y, X ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.40/1.07 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.40/1.07 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.40/1.07 sdtasdt0( Y, X ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.40/1.07 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.40/1.07 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.40/1.07 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.40/1.07 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.40/1.07 , Z ) ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.40/1.07 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.40/1.07 , X ) ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.40/1.07 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.40/1.07 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.40/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.40/1.07 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.40/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.40/1.07 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.40/1.07 , X = sz00 }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.40/1.07 , Y = sz00 }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.40/1.07 , X = sz00, Y = sz00 }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.40/1.07 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.40/1.07 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.40/1.07 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.40/1.07 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.40/1.07 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.40/1.07 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.40/1.07 sdtlseqdt0( Y, X ), X = Y }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.40/1.07 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.40/1.07 X }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.40/1.07 sdtlseqdt0( Y, X ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.40/1.07 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.40/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.40/1.07 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.40/1.07 ) ) }.
% 0.40/1.07 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.40/1.07 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.40/1.07 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 1.46/1.86 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 1.46/1.86 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 1.46/1.86 ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.46/1.86 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.46/1.86 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 1.46/1.86 sdtasdt0( Z, X ) ) }.
% 1.46/1.86 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 1.46/1.86 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 1.46/1.86 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 1.46/1.86 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 1.46/1.86 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 1.46/1.86 ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 1.46/1.86 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 1.46/1.86 sdtasdt0( Y, X ) ) }.
% 1.46/1.86 { && }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.46/1.86 ), iLess0( X, Y ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 1.46/1.86 aNaturalNumber0( skol2( Z, T ) ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.46/1.86 sdtasdt0( X, skol2( X, Y ) ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.46/1.86 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.46/1.86 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.46/1.86 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.46/1.86 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 1.46/1.86 ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.46/1.86 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.46/1.86 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 1.46/1.86 ) ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.46/1.86 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 1.46/1.86 Z ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.46/1.86 sz00, sdtlseqdt0( X, Y ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.46/1.86 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 1.46/1.86 ( sdtasdt0( Z, Y ), X ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 1.46/1.86 { ! alpha1( X ), ! X = sz10 }.
% 1.46/1.86 { ! alpha1( X ), alpha2( X ) }.
% 1.46/1.86 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 1.46/1.86 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 1.46/1.86 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 1.46/1.86 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 1.46/1.86 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 1.46/1.86 { ! Y = sz10, alpha4( X, Y ) }.
% 1.46/1.86 { ! Y = X, alpha4( X, Y ) }.
% 1.46/1.86 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 1.46/1.86 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 1.46/1.86 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 1.46/1.86 }.
% 1.46/1.86 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 1.46/1.86 .
% 1.46/1.86 { aNaturalNumber0( xn ) }.
% 1.46/1.86 { aNaturalNumber0( xm ) }.
% 1.46/1.86 { aNaturalNumber0( xp ) }.
% 1.46/1.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.46/1.86 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 1.46/1.86 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), doDivides0(
% 1.46/1.86 Z, X ), doDivides0( Z, Y ) }.
% 1.46/1.86 { isPrime0( xp ) }.
% 1.46/1.86 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 1.46/1.86 { ! sdtlseqdt0( xp, xn ) }.
% 1.46/1.86 { ! sdtlseqdt0( xp, xm ) }.
% 1.46/1.86 { ! xn = xp }.
% 1.46/1.86 { sdtlseqdt0( xn, xp ) }.
% 10.35/10.76 { ! xm = xp }.
% 10.35/10.76 { sdtlseqdt0( xm, xp ) }.
% 10.35/10.76 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 10.35/10.76 { ! xk = sz00 }.
% 10.35/10.76 { ! xk = sz10 }.
% 10.35/10.76 { ! xk = sz00 }.
% 10.35/10.76 { ! xk = sz10 }.
% 10.35/10.76 { aNaturalNumber0( xr ) }.
% 10.35/10.76 { doDivides0( xr, xk ) }.
% 10.35/10.76 { isPrime0( xr ) }.
% 10.35/10.76 { sdtlseqdt0( xr, xk ) }.
% 10.35/10.76 { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 10.35/10.76 { ! sdtlseqdt0( xp, xk ) }.
% 10.35/10.76 { xk = xp, ! sdtlseqdt0( xk, xp ) }.
% 10.35/10.76
% 10.35/10.76 percentage equality = 0.279279, percentage horn = 0.737864
% 10.35/10.76 This is a problem with some equality
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Options Used:
% 10.35/10.76
% 10.35/10.76 useres = 1
% 10.35/10.76 useparamod = 1
% 10.35/10.76 useeqrefl = 1
% 10.35/10.76 useeqfact = 1
% 10.35/10.76 usefactor = 1
% 10.35/10.76 usesimpsplitting = 0
% 10.35/10.76 usesimpdemod = 5
% 10.35/10.76 usesimpres = 3
% 10.35/10.76
% 10.35/10.76 resimpinuse = 1000
% 10.35/10.76 resimpclauses = 20000
% 10.35/10.76 substype = eqrewr
% 10.35/10.76 backwardsubs = 1
% 10.35/10.76 selectoldest = 5
% 10.35/10.76
% 10.35/10.76 litorderings [0] = split
% 10.35/10.76 litorderings [1] = extend the termordering, first sorting on arguments
% 10.35/10.76
% 10.35/10.76 termordering = kbo
% 10.35/10.76
% 10.35/10.76 litapriori = 0
% 10.35/10.76 termapriori = 1
% 10.35/10.76 litaposteriori = 0
% 10.35/10.76 termaposteriori = 0
% 10.35/10.76 demodaposteriori = 0
% 10.35/10.76 ordereqreflfact = 0
% 10.35/10.76
% 10.35/10.76 litselect = negord
% 10.35/10.76
% 10.35/10.76 maxweight = 15
% 10.35/10.76 maxdepth = 30000
% 10.35/10.76 maxlength = 115
% 10.35/10.76 maxnrvars = 195
% 10.35/10.76 excuselevel = 1
% 10.35/10.76 increasemaxweight = 1
% 10.35/10.76
% 10.35/10.76 maxselected = 10000000
% 10.35/10.76 maxnrclauses = 10000000
% 10.35/10.76
% 10.35/10.76 showgenerated = 0
% 10.35/10.76 showkept = 0
% 10.35/10.76 showselected = 0
% 10.35/10.76 showdeleted = 0
% 10.35/10.76 showresimp = 1
% 10.35/10.76 showstatus = 2000
% 10.35/10.76
% 10.35/10.76 prologoutput = 0
% 10.35/10.76 nrgoals = 5000000
% 10.35/10.76 totalproof = 1
% 10.35/10.76
% 10.35/10.76 Symbols occurring in the translation:
% 10.35/10.76
% 10.35/10.76 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 10.35/10.76 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 10.35/10.76 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 10.35/10.76 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 10.35/10.76 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.35/10.76 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.35/10.76 aNaturalNumber0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 10.35/10.76 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 10.35/10.76 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 10.35/10.76 sdtpldt0 [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 10.35/10.76 sdtasdt0 [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 10.35/10.76 sdtlseqdt0 [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 10.35/10.76 sdtmndt0 [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 10.35/10.76 iLess0 [45, 2] (w:1, o:55, a:1, s:1, b:0),
% 10.35/10.76 doDivides0 [46, 2] (w:1, o:56, a:1, s:1, b:0),
% 10.35/10.76 sdtsldt0 [47, 2] (w:1, o:57, a:1, s:1, b:0),
% 10.35/10.76 isPrime0 [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 10.35/10.76 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 10.35/10.76 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 10.35/10.76 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 10.35/10.76 xk [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 10.35/10.76 xr [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 10.35/10.76 alpha1 [54, 1] (w:1, o:23, a:1, s:1, b:1),
% 10.35/10.76 alpha2 [55, 1] (w:1, o:24, a:1, s:1, b:1),
% 10.35/10.76 alpha3 [56, 2] (w:1, o:58, a:1, s:1, b:1),
% 10.35/10.76 alpha4 [57, 2] (w:1, o:59, a:1, s:1, b:1),
% 10.35/10.76 alpha5 [58, 3] (w:1, o:62, a:1, s:1, b:1),
% 10.35/10.76 alpha6 [59, 3] (w:1, o:63, a:1, s:1, b:1),
% 10.35/10.76 skol1 [60, 2] (w:1, o:60, a:1, s:1, b:1),
% 10.35/10.76 skol2 [61, 2] (w:1, o:61, a:1, s:1, b:1),
% 10.35/10.76 skol3 [62, 1] (w:1, o:25, a:1, s:1, b:1),
% 10.35/10.76 skol4 [63, 1] (w:1, o:26, a:1, s:1, b:1).
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Starting Search:
% 10.35/10.76
% 10.35/10.76 *** allocated 15000 integers for clauses
% 10.35/10.76 *** allocated 22500 integers for clauses
% 10.35/10.76 *** allocated 33750 integers for clauses
% 10.35/10.76 *** allocated 15000 integers for termspace/termends
% 10.35/10.76 *** allocated 50625 integers for clauses
% 10.35/10.76 *** allocated 75937 integers for clauses
% 10.35/10.76 *** allocated 22500 integers for termspace/termends
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 *** allocated 33750 integers for termspace/termends
% 10.35/10.76 *** allocated 113905 integers for clauses
% 10.35/10.76 *** allocated 50625 integers for termspace/termends
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 12255
% 10.35/10.76 Kept: 2005
% 10.35/10.76 Inuse: 135
% 10.35/10.76 Deleted: 3
% 10.35/10.76 Deletedinuse: 0
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 *** allocated 170857 integers for clauses
% 10.35/10.76 *** allocated 75937 integers for termspace/termends
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 *** allocated 256285 integers for clauses
% 10.35/10.76 *** allocated 113905 integers for termspace/termends
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 24342
% 10.35/10.76 Kept: 4024
% 10.35/10.76 Inuse: 180
% 10.35/10.76 Deleted: 8
% 10.35/10.76 Deletedinuse: 4
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 *** allocated 170857 integers for termspace/termends
% 10.35/10.76 *** allocated 384427 integers for clauses
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 43119
% 10.35/10.76 Kept: 6027
% 10.35/10.76 Inuse: 219
% 10.35/10.76 Deleted: 13
% 10.35/10.76 Deletedinuse: 7
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 56200
% 10.35/10.76 Kept: 8140
% 10.35/10.76 Inuse: 257
% 10.35/10.76 Deleted: 23
% 10.35/10.76 Deletedinuse: 14
% 10.35/10.76
% 10.35/10.76 *** allocated 256285 integers for termspace/termends
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 *** allocated 576640 integers for clauses
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 79182
% 10.35/10.76 Kept: 10153
% 10.35/10.76 Inuse: 294
% 10.35/10.76 Deleted: 34
% 10.35/10.76 Deletedinuse: 20
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 88552
% 10.35/10.76 Kept: 12170
% 10.35/10.76 Inuse: 334
% 10.35/10.76 Deleted: 43
% 10.35/10.76 Deletedinuse: 26
% 10.35/10.76
% 10.35/10.76 *** allocated 384427 integers for termspace/termends
% 10.35/10.76 *** allocated 864960 integers for clauses
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 107667
% 10.35/10.76 Kept: 14204
% 10.35/10.76 Inuse: 385
% 10.35/10.76 Deleted: 44
% 10.35/10.76 Deletedinuse: 26
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 121600
% 10.35/10.76 Kept: 16375
% 10.35/10.76 Inuse: 460
% 10.35/10.76 Deleted: 49
% 10.35/10.76 Deletedinuse: 28
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 146436
% 10.35/10.76 Kept: 18378
% 10.35/10.76 Inuse: 559
% 10.35/10.76 Deleted: 64
% 10.35/10.76 Deletedinuse: 30
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 *** allocated 1297440 integers for clauses
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 Resimplifying clauses:
% 10.35/10.76 *** allocated 576640 integers for termspace/termends
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Intermediate Status:
% 10.35/10.76 Generated: 162258
% 10.35/10.76 Kept: 21663
% 10.35/10.76 Inuse: 608
% 10.35/10.76 Deleted: 5350
% 10.35/10.76 Deletedinuse: 32
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76 Resimplifying inuse:
% 10.35/10.76 Done
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Bliksems!, er is een bewijs:
% 10.35/10.76 % SZS status Theorem
% 10.35/10.76 % SZS output start Refutation
% 10.35/10.76
% 10.35/10.76 (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 10.35/10.76 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 10.35/10.76 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 10.35/10.76 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.35/10.76 (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) ==>
% 10.35/10.76 X }.
% 10.35/10.76 (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( sz00, X ) ==>
% 10.35/10.76 X }.
% 10.35/10.76 (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 10.35/10.76 }.
% 10.35/10.76 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 10.35/10.76 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 10.35/10.76 sdtasdt0( X, Z ), Y = Z }.
% 10.35/10.76 (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 10.35/10.76 (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 10.35/10.76 (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 10.35/10.76 }.
% 10.35/10.76 (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 10.35/10.76 }.
% 10.35/10.76 (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 10.35/10.76 }.
% 10.35/10.76 (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 10.35/10.76 , Z = sdtmndt0( Y, X ) }.
% 10.35/10.76 (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 10.35/10.76 (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 10.35/10.76 (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 10.35/10.76 (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 10.35/10.76 (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 10.35/10.76 aNaturalNumber0( Z ) }.
% 10.35/10.76 (63) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X =
% 10.35/10.76 sz00 }.
% 10.35/10.76 (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 10.35/10.76 (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 10.35/10.76 (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 10.35/10.76 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 10.35/10.76 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 10.35/10.76 (85) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 10.35/10.76 (86) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 10.35/10.76 (93) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtasdt0( xn, xm ), xp ) ==> xk }.
% 10.35/10.76 (101) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xk ) }.
% 10.35/10.76 (102) {G0,W6,D2,L2,V0,M2} I { xk ==> xp, ! sdtlseqdt0( xk, xp ) }.
% 10.35/10.76 (231) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 10.35/10.76 (233) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10 }.
% 10.35/10.76 (263) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ), aNaturalNumber0
% 10.35/10.76 ( sdtasdt0( X, xm ) ) }.
% 10.35/10.76 (365) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==> sz00 }.
% 10.35/10.76 (620) {G2,W5,D2,L2,V1,M2} P(233,2) { aNaturalNumber0( X ), ! alpha4( sz10,
% 10.35/10.76 X ) }.
% 10.35/10.76 (801) {G3,W5,D2,L2,V1,M2} R(620,73) { aNaturalNumber0( X ), ! X = sz10 }.
% 10.35/10.76 (1001) {G1,W17,D3,L5,V2,M5} R(20,83) { ! aNaturalNumber0( X ), X = sz00, !
% 10.35/10.76 aNaturalNumber0( Y ), ! sdtasdt0( X, xp ) = sdtasdt0( X, Y ), xp = Y }.
% 10.35/10.76 (1136) {G2,W15,D3,L4,V1,M4} E(1001);f { ! xp ==> sz00, ! aNaturalNumber0( X
% 10.35/10.76 ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X ) }.
% 10.35/10.76 (1139) {G3,W6,D2,L2,V0,M2} Q(1136);r(83) { ! xp ==> sz00, xp ==> sz00 }.
% 10.35/10.76 (1459) {G2,W9,D3,L3,V1,M3} P(22,85);r(231) { ! aNaturalNumber0( xp ), !
% 10.35/10.76 aNaturalNumber0( X ), ! sdtpldt0( xp, X ) ==> sz00 }.
% 10.35/10.76 (1462) {G3,W5,D3,L1,V0,M1} F(1459);r(83) { ! sdtpldt0( xp, xp ) ==> sz00
% 10.35/10.76 }.
% 10.35/10.76 (1796) {G4,W3,D2,L1,V0,M1} P(1139,1462);d(365);q { ! xp ==> sz00 }.
% 10.35/10.76 (1907) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0( X ), !
% 10.35/10.76 aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 10.35/10.76 (1946) {G2,W5,D2,L2,V1,M2} F(1907);q { ! aNaturalNumber0( X ), sdtlseqdt0(
% 10.35/10.76 sz00, X ) }.
% 10.35/10.76 (1985) {G3,W3,D2,L1,V0,M1} R(1946,83) { sdtlseqdt0( sz00, xp ) }.
% 10.35/10.76 (2527) {G3,W12,D3,L4,V2,M4} R(30,1946);f;d(9);r(1) { ! aNaturalNumber0( X )
% 10.35/10.76 , ! aNaturalNumber0( Y ), Y = sdtmndt0( X, sz00 ), ! Y = X }.
% 10.35/10.76 (2564) {G1,W15,D3,L5,V2,M5} R(30,1);d(8) { ! aNaturalNumber0( X ), !
% 10.35/10.76 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==> sz00, !
% 10.35/10.76 X = Y }.
% 10.35/10.76 (2635) {G2,W7,D3,L2,V1,M2} F(2564);q;r(31) { ! aNaturalNumber0( X ),
% 10.35/10.76 sdtmndt0( X, X ) ==> sz00 }.
% 10.35/10.76 (2652) {G4,W7,D3,L2,V1,M2} F(2527);q { ! aNaturalNumber0( X ), sdtmndt0( X
% 10.35/10.76 , sz00 ) ==> X }.
% 10.35/10.76 (3173) {G4,W6,D2,L2,V1,M2} R(34,2);r(801) { sdtlseqdt0( sz10, X ), ! X =
% 10.35/10.76 sz10 }.
% 10.35/10.76 (3252) {G1,W5,D2,L2,V0,M2} R(35,101);r(83) { ! aNaturalNumber0( xk ),
% 10.35/10.76 sdtlseqdt0( xk, xp ) }.
% 10.35/10.76 (3980) {G5,W12,D3,L4,V2,M4} R(3173,28);r(2) { ! X = sz10, ! aNaturalNumber0
% 10.35/10.76 ( X ), ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 10.35/10.76 (3991) {G6,W5,D2,L2,V1,M2} Q(3980);d(2635);r(2) { aNaturalNumber0( X ), ! X
% 10.35/10.76 = sz00 }.
% 10.35/10.76 (4004) {G7,W13,D3,L4,V2,M4} R(3991,23) { ! X = sz00, ! aNaturalNumber0( Y )
% 10.35/10.76 , ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 10.35/10.76 (4019) {G8,W6,D2,L2,V1,M2} Q(4004);d(9);r(3991) { X = sz00, ! X = sz00 }.
% 10.35/10.76 (4043) {G9,W6,D2,L2,V1,M2} P(4019,1985) { sdtlseqdt0( X, xp ), ! X = sz00
% 10.35/10.76 }.
% 10.35/10.76 (5616) {G10,W15,D3,L4,V2,M4} R(4043,29);r(3991) { ! X = sz00, !
% 10.35/10.76 aNaturalNumber0( xp ), ! Y = sdtmndt0( xp, X ), sdtpldt0( X, Y ) ==> xp
% 10.35/10.76 }.
% 10.35/10.76 (5617) {G10,W12,D3,L4,V2,M4} R(4043,28);r(3991) { ! X = sz00, !
% 10.35/10.76 aNaturalNumber0( xp ), ! Y = sdtmndt0( xp, X ), aNaturalNumber0( Y ) }.
% 10.35/10.76 (5628) {G11,W5,D2,L2,V1,M2} Q(5617);d(2652);r(83) { aNaturalNumber0( X ), !
% 10.35/10.76 X = xp }.
% 10.35/10.76 (5631) {G11,W8,D3,L2,V1,M2} Q(5616);d(2652);r(83) { sdtpldt0( sz00, X ) ==>
% 10.35/10.76 xp, ! X = xp }.
% 10.35/10.76 (5775) {G12,W6,D2,L2,V1,M2} R(5628,9);d(5631) { ! X = xp, xp = X }.
% 10.35/10.76 (6024) {G13,W6,D2,L2,V1,M2} P(5775,101) { ! sdtlseqdt0( X, xk ), ! X = xp
% 10.35/10.76 }.
% 10.35/10.76 (6606) {G14,W14,D2,L5,V2,M5} P(32,6024);r(83) { ! sdtlseqdt0( Y, xk ), ! Y
% 10.35/10.76 = X, ! aNaturalNumber0( X ), ! sdtlseqdt0( xp, X ), ! sdtlseqdt0( X, xp )
% 10.35/10.76 }.
% 10.35/10.76 (6608) {G15,W5,D2,L2,V0,M2} F(6606);d(102);d(102);d(102);q;r(31) { !
% 10.35/10.76 sdtlseqdt0( xk, xp ), ! aNaturalNumber0( xp ) }.
% 10.35/10.76 (6906) {G16,W3,D2,L1,V0,M1} S(6608);r(83) { ! sdtlseqdt0( xk, xp ) }.
% 10.35/10.76 (6908) {G17,W2,D2,L1,V0,M1} R(6906,3252) { ! aNaturalNumber0( xk ) }.
% 10.35/10.76 (8300) {G1,W12,D3,L4,V1,M4} R(55,86);d(93);r(83) { ! aNaturalNumber0(
% 10.35/10.76 sdtasdt0( xn, xm ) ), xp ==> sz00, aNaturalNumber0( X ), ! X = xk }.
% 10.35/10.76 (8426) {G5,W6,D3,L2,V0,M2} Q(8300);r(1796) { ! aNaturalNumber0( sdtasdt0(
% 10.35/10.76 xn, xm ) ), aNaturalNumber0( xk ) }.
% 10.35/10.76 (21166) {G18,W4,D3,L1,V0,M1} S(8426);r(6908) { ! aNaturalNumber0( sdtasdt0
% 10.35/10.76 ( xn, xm ) ) }.
% 10.35/10.76 (23397) {G19,W13,D3,L4,V2,M4} P(18,21166);r(263) { ! aNaturalNumber0( Y ),
% 10.35/10.76 ! aNaturalNumber0( xn ), ! aNaturalNumber0( X ), ! sdtpldt0( Y, xn ) =
% 10.35/10.76 sdtpldt0( Y, X ) }.
% 10.35/10.76 (23400) {G20,W9,D3,L2,V1,M2} F(23397);r(81) { ! aNaturalNumber0( X ), !
% 10.35/10.76 sdtpldt0( X, xn ) = sdtpldt0( X, X ) }.
% 10.35/10.76 (23402) {G21,W0,D0,L0,V0,M0} Q(23400);r(81) { }.
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 % SZS output end Refutation
% 10.35/10.76 found a proof!
% 10.35/10.76
% 10.35/10.76
% 10.35/10.76 Unprocessed initial clauses:
% 10.35/10.76
% 10.35/10.76 (23404) {G0,W1,D1,L1,V0,M1} { && }.
% 10.35/10.76 (23405) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 10.35/10.76 (23406) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 10.35/10.76 (23407) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 10.35/10.76 (23408) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 10.35/10.76 (23409) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.35/10.76 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.35/10.76 (23410) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 10.35/10.76 (23411) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 10.35/10.76 X, sdtpldt0( Y, Z ) ) }.
% 10.35/10.76 (23412) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 10.35/10.76 = X }.
% 10.35/10.76 (23413) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 10.35/10.76 X ) }.
% 10.35/10.76 (23414) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 10.35/10.76 (23415) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 10.35/10.76 X, sdtasdt0( Y, Z ) ) }.
% 10.35/10.76 (23416) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 10.35/10.76 = X }.
% 10.35/10.76 (23417) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 10.35/10.76 X ) }.
% 10.35/10.76 (23418) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 10.35/10.76 = sz00 }.
% 10.35/10.76 (23419) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 10.35/10.76 sz00, X ) }.
% 10.35/10.76 (23420) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 10.35/10.76 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 10.35/10.76 (23421) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 10.35/10.76 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 10.35/10.76 (23422) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 10.35/10.76 }.
% 10.35/10.76 (23423) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 10.35/10.76 }.
% 10.35/10.76 (23424) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 10.35/10.76 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 10.35/10.76 sdtasdt0( X, Z ), Y = Z }.
% 10.35/10.76 (23425) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 10.35/10.76 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 10.35/10.76 sdtasdt0( Z, X ), Y = Z }.
% 10.35/10.76 (23426) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 10.35/10.76 (23427) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 10.35/10.76 (23428) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 10.35/10.76 (23429) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 10.35/10.76 (23430) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 10.35/10.76 (23431) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 10.35/10.76 }.
% 10.35/10.76 (23432) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 10.35/10.76 }.
% 10.35/10.76 (23433) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 10.35/10.76 }.
% 10.35/10.76 (23434) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 10.35/10.76 , Z = sdtmndt0( Y, X ) }.
% 10.35/10.76 (23435) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 10.35/10.76 }.
% 10.35/10.76 (23436) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 10.35/10.76 (23437) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 10.35/10.76 sdtlseqdt0( X, Z ) }.
% 10.35/10.76 (23438) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 10.35/10.76 (23439) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 10.35/10.76 (23440) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 10.35/10.76 ) }.
% 10.35/10.76 (23441) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 10.35/10.76 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 10.35/10.76 (23442) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 10.35/10.76 sdtpldt0( Z, Y ) }.
% 10.35/10.76 (23443) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 10.35/10.76 Z, X ), sdtpldt0( Z, Y ) ) }.
% 10.35/10.76 (23444) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 10.35/10.76 sdtpldt0( Y, Z ) }.
% 10.35/10.76 (23445) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 10.35/10.76 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 10.35/10.76 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 10.35/10.76 (23446) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 10.35/10.76 alpha6( X, Y, Z ) }.
% 10.35/10.76 (23447) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 10.35/10.76 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 10.35/10.76 (23448) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 10.35/10.76 sdtasdt0( X, Z ) }.
% 10.35/10.76 (23449) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 10.35/10.76 X, Y ), sdtasdt0( X, Z ) ) }.
% 10.35/10.76 (23450) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 10.35/10.76 sdtasdt0( Z, X ) }.
% 10.35/10.76 (23451) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 10.35/10.76 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 10.35/10.76 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 10.35/10.76 (23452) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.35/10.76 , ! sz10 = X }.
% 10.35/10.76 (23453) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.35/10.76 , sdtlseqdt0( sz10, X ) }.
% 10.35/10.76 (23454) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 10.35/10.76 (23455) {G0,W1,D1,L1,V0,M1} { && }.
% 10.35/10.76 (23456) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 10.35/10.76 (23457) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 10.35/10.76 (23458) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 10.35/10.76 (23459) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 10.35/10.76 }.
% 10.35/10.76 (23460) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 10.35/10.76 aNaturalNumber0( Z ) }.
% 10.35/10.76 (23461) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 10.35/10.76 ( X, Z ) }.
% 10.35/10.76 (23462) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 10.35/10.76 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 10.35/10.76 (23463) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 10.35/10.76 doDivides0( X, Z ) }.
% 10.35/10.76 (23464) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 10.35/10.76 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 10.35/10.76 (23465) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 10.35/10.76 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 10.35/10.76 (23466) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 10.35/10.76 (23467) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 10.35/10.76 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 10.35/10.76 (23468) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 10.35/10.76 = sz00 }.
% 10.35/10.76 (23469) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 10.35/10.76 alpha1( X ) }.
% 10.35/10.76 (23470) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 10.35/10.76 X ), isPrime0( X ) }.
% 10.35/10.76 (23471) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 10.35/10.76 (23472) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 10.35/10.76 (23473) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 10.35/10.76 (23474) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 10.35/10.76 Y ) }.
% 10.35/10.76 (23475) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 10.35/10.76 (23476) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 10.35/10.76 (23477) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 10.35/10.76 (23478) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 10.35/10.76 (23479) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 10.35/10.76 (23480) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 10.35/10.76 (23481) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 10.35/10.76 (23482) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 10.35/10.76 , alpha3( X, Y ) }.
% 10.35/10.76 (23483) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.35/10.76 , aNaturalNumber0( skol4( Y ) ) }.
% 10.35/10.76 (23484) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.35/10.76 , isPrime0( skol4( Y ) ) }.
% 10.35/10.76 (23485) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.35/10.76 , doDivides0( skol4( X ), X ) }.
% 10.35/10.76 (23486) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 10.35/10.76 (23487) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 10.35/10.76 (23488) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 10.35/10.76 (23489) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.35/10.76 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 10.35/10.76 X, Y ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0(
% 10.35/10.76 xn, xm ), xp ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 10.35/10.76 (23490) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 10.35/10.76 (23491) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 10.35/10.76 (23492) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 10.35/10.76 (23493) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 10.35/10.76 (23494) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 10.35/10.76 (23495) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 10.35/10.76 (23496) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 10.35/10.76 (23497) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 10.35/10.76 (23498) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 10.35/10.76 (23499) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 10.35/10.76 (23500) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 10.35/10.76 (23501) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 10.35/10.76 (23502) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 10.35/10.76 (23503) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 10.35/10.76 (23504) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xk ) }.
% 10.35/10.76 (23505) {G0,W2,D2,L1,V0,M1} { isPrime0( xr ) }.
% 10.35/10.76 (23506) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xr, xk ) }.
% 10.35/10.76 (23507) {G0,W5,D3,L1,V0,M1} { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 10.35/10.77 (23508) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xk ) }.
% 10.35/10.77 (23509) {G0,W6,D2,L2,V0,M2} { xk = xp, ! sdtlseqdt0( xk, xp ) }.
% 10.35/10.77
% 10.35/10.77
% 10.35/10.77 Total Proof:
% 10.35/10.77
% 10.35/10.77 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 10.35/10.77 parent0: (23405) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 10.35/10.77 substitution0:
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 0
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 10.35/10.77 parent0: (23406) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 10.35/10.77 substitution0:
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 0
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.35/10.77 parent0: (23409) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.35/10.77 substitution0:
% 10.35/10.77 X := X
% 10.35/10.77 Y := Y
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 0
% 10.35/10.77 1 ==> 1
% 10.35/10.77 2 ==> 2
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 10.35/10.77 X, sz00 ) ==> X }.
% 10.35/10.77 parent0: (23412) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X
% 10.35/10.77 , sz00 ) = X }.
% 10.35/10.77 substitution0:
% 10.35/10.77 X := X
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 0
% 10.35/10.77 1 ==> 1
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 eqswap: (23541) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 10.35/10.77 aNaturalNumber0( X ) }.
% 10.35/10.77 parent0[1]: (23413) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 10.35/10.77 sdtpldt0( sz00, X ) }.
% 10.35/10.77 substitution0:
% 10.35/10.77 X := X
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 10.35/10.77 sz00, X ) ==> X }.
% 10.35/10.77 parent0: (23541) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 10.35/10.77 aNaturalNumber0( X ) }.
% 10.35/10.77 substitution0:
% 10.35/10.77 X := X
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 1
% 10.35/10.77 1 ==> 0
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 10.35/10.77 sdtpldt0( X, Z ), Y = Z }.
% 10.35/10.77 parent0: (23422) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 10.35/10.77 sdtpldt0( X, Z ), Y = Z }.
% 10.35/10.77 substitution0:
% 10.35/10.77 X := X
% 10.35/10.77 Y := Y
% 10.35/10.77 Z := Z
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 0
% 10.35/10.77 1 ==> 1
% 10.35/10.77 2 ==> 2
% 10.35/10.77 3 ==> 3
% 10.35/10.77 4 ==> 4
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 10.35/10.77 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 10.35/10.77 sdtasdt0( X, Z ), Y = Z }.
% 10.35/10.77 parent0: (23424) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00,
% 10.35/10.77 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 10.35/10.77 sdtasdt0( X, Z ), Y = Z }.
% 10.35/10.77 substitution0:
% 10.35/10.77 X := X
% 10.35/10.77 Y := Y
% 10.35/10.77 Z := Z
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 0
% 10.35/10.77 1 ==> 1
% 10.35/10.77 2 ==> 2
% 10.35/10.77 3 ==> 3
% 10.35/10.77 4 ==> 4
% 10.35/10.77 5 ==> 5
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 10.35/10.77 parent0: (23426) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 10.35/10.77 substitution0:
% 10.35/10.77 X := X
% 10.35/10.77 Y := Y
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 0
% 10.35/10.77 1 ==> 1
% 10.35/10.77 2 ==> 2
% 10.35/10.77 3 ==> 3
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 10.35/10.77 parent0: (23427) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 10.35/10.77 substitution0:
% 10.35/10.77 X := X
% 10.35/10.77 Y := Y
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 0
% 10.35/10.77 1 ==> 1
% 10.35/10.77 2 ==> 2
% 10.35/10.77 3 ==> 3
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 10.35/10.77 sdtlseqdt0( X, Y ) }.
% 10.35/10.77 parent0: (23431) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 10.35/10.77 sdtlseqdt0( X, Y ) }.
% 10.35/10.77 substitution0:
% 10.35/10.77 X := X
% 10.35/10.77 Y := Y
% 10.35/10.77 Z := Z
% 10.35/10.77 end
% 10.35/10.77 permutation0:
% 10.35/10.77 0 ==> 0
% 10.35/10.77 1 ==> 1
% 10.35/10.77 2 ==> 2
% 10.35/10.77 3 ==> 3
% 10.35/10.77 4 ==> 4
% 10.35/10.77 end
% 10.35/10.77
% 10.35/10.77 subsumption: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 10.35/10.77 aNaturalNumber0( Z ) }.
% 10.35/10.77 parent0: (23432) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 10.35/10.77 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 10.35/10.78 aNaturalNumber0( Z ) }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 Y := Y
% 10.35/10.78 Z := Z
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 2 ==> 2
% 10.35/10.78 3 ==> 3
% 10.35/10.78 4 ==> 4
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (29) {G0,W17,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 10.35/10.78 sdtpldt0( X, Z ) = Y }.
% 10.35/10.78 parent0: (23433) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 10.35/10.78 sdtpldt0( X, Z ) = Y }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 Y := Y
% 10.35/10.78 Z := Z
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 2 ==> 2
% 10.35/10.78 3 ==> 3
% 10.35/10.78 4 ==> 4
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 10.35/10.78 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 10.35/10.78 parent0: (23434) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 10.35/10.78 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 Y := Y
% 10.35/10.78 Z := Z
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 2 ==> 2
% 10.35/10.78 3 ==> 3
% 10.35/10.78 4 ==> 4
% 10.35/10.78 5 ==> 5
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 10.35/10.78 sdtlseqdt0( X, X ) }.
% 10.35/10.78 parent0: (23435) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 10.35/10.78 ( X, X ) }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 10.35/10.78 }.
% 10.35/10.78 parent0: (23436) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 10.35/10.78 }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 Y := Y
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 2 ==> 2
% 10.35/10.78 3 ==> 3
% 10.35/10.78 4 ==> 4
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 10.35/10.78 parent0: (23438) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 Y := Y
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 2 ==> 2
% 10.35/10.78 3 ==> 3
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 10.35/10.78 parent0: (23439) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 Y := Y
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 2 ==> 2
% 10.35/10.78 3 ==> 3
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 10.35/10.78 X ), aNaturalNumber0( Z ) }.
% 10.35/10.78 parent0: (23460) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 10.35/10.78 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 10.35/10.78 X ), aNaturalNumber0( Z ) }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 Y := Y
% 10.35/10.78 Z := Z
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 2 ==> 2
% 10.35/10.78 3 ==> 3
% 10.35/10.78 4 ==> 4
% 10.35/10.78 5 ==> 5
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (63) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), !
% 10.35/10.78 isPrime0( X ), ! X = sz00 }.
% 10.35/10.78 parent0: (23468) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0
% 10.35/10.78 ( X ), ! X = sz00 }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 2 ==> 2
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y = X
% 10.35/10.78 }.
% 10.35/10.78 parent0: (23477) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X
% 10.35/10.78 }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 Y := Y
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 2 ==> 2
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 10.35/10.78 parent0: (23478) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 10.35/10.78 substitution0:
% 10.35/10.78 X := X
% 10.35/10.78 Y := Y
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 1 ==> 1
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 10.35/10.78 parent0: (23486) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 10.35/10.78 substitution0:
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.78 0 ==> 0
% 10.35/10.78 end
% 10.35/10.78
% 10.35/10.78 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 10.35/10.78 parent0: (23487) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 10.35/10.78 substitution0:
% 10.35/10.78 end
% 10.35/10.78 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 10.35/10.79 parent0: (23488) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (85) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 10.35/10.79 parent0: (23490) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (86) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xm
% 10.35/10.79 ) ) }.
% 10.35/10.79 parent0: (23491) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm )
% 10.35/10.79 ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 eqswap: (29418) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtasdt0( xn, xm ), xp ) =
% 10.35/10.79 xk }.
% 10.35/10.79 parent0[0]: (23498) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm
% 10.35/10.79 ), xp ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (93) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtasdt0( xn, xm ), xp
% 10.35/10.79 ) ==> xk }.
% 10.35/10.79 parent0: (29418) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtasdt0( xn, xm ), xp )
% 10.35/10.79 = xk }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (101) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xk ) }.
% 10.35/10.79 parent0: (23508) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xk ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (102) {G0,W6,D2,L2,V0,M2} I { xk ==> xp, ! sdtlseqdt0( xk, xp
% 10.35/10.79 ) }.
% 10.35/10.79 parent0: (23509) {G0,W6,D2,L2,V0,M2} { xk = xp, ! sdtlseqdt0( xk, xp ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 1 ==> 1
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 eqswap: (30286) {G0,W7,D2,L3,V1,M3} { ! sz00 = X, ! aNaturalNumber0( X ),
% 10.35/10.79 ! isPrime0( X ) }.
% 10.35/10.79 parent0[2]: (63) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), ! isPrime0
% 10.35/10.79 ( X ), ! X = sz00 }.
% 10.35/10.79 substitution0:
% 10.35/10.79 X := X
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 eqrefl: (30287) {G0,W4,D2,L2,V0,M2} { ! aNaturalNumber0( sz00 ), !
% 10.35/10.79 isPrime0( sz00 ) }.
% 10.35/10.79 parent0[0]: (30286) {G0,W7,D2,L3,V1,M3} { ! sz00 = X, ! aNaturalNumber0( X
% 10.35/10.79 ), ! isPrime0( X ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 X := sz00
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 resolution: (30288) {G1,W2,D2,L1,V0,M1} { ! isPrime0( sz00 ) }.
% 10.35/10.79 parent0[0]: (30287) {G0,W4,D2,L2,V0,M2} { ! aNaturalNumber0( sz00 ), !
% 10.35/10.79 isPrime0( sz00 ) }.
% 10.35/10.79 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79 substitution1:
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (231) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 10.35/10.79 parent0: (30288) {G1,W2,D2,L1,V0,M1} { ! isPrime0( sz00 ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 factor: (30292) {G0,W6,D2,L2,V1,M2} { ! alpha4( sz10, X ), X = sz10 }.
% 10.35/10.79 parent0[1, 2]: (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y =
% 10.35/10.79 X }.
% 10.35/10.79 substitution0:
% 10.35/10.79 X := sz10
% 10.35/10.79 Y := X
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (233) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X =
% 10.35/10.79 sz10 }.
% 10.35/10.79 parent0: (30292) {G0,W6,D2,L2,V1,M2} { ! alpha4( sz10, X ), X = sz10 }.
% 10.35/10.79 substitution0:
% 10.35/10.79 X := X
% 10.35/10.79 end
% 10.35/10.79 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 1 ==> 1
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 resolution: (30295) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 10.35/10.79 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 10.35/10.79 parent0[1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 10.35/10.79 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.35/10.79 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 X := X
% 10.35/10.79 Y := xm
% 10.35/10.79 end
% 10.35/10.79 substitution1:
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (263) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 10.35/10.79 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 10.35/10.79 parent0: (30295) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 10.35/10.79 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 X := X
% 10.35/10.79 end
% 10.35/10.79 permutation0:
% 10.35/10.79 0 ==> 0
% 10.35/10.79 1 ==> 1
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 eqswap: (30296) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( X, sz00 ), !
% 10.35/10.79 aNaturalNumber0( X ) }.
% 10.35/10.79 parent0[1]: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X
% 10.35/10.79 , sz00 ) ==> X }.
% 10.35/10.79 substitution0:
% 10.35/10.79 X := X
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 resolution: (30297) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtpldt0( sz00, sz00 )
% 10.35/10.79 }.
% 10.35/10.79 parent0[1]: (30296) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( X, sz00 ), !
% 10.35/10.79 aNaturalNumber0( X ) }.
% 10.35/10.79 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 10.35/10.79 substitution0:
% 10.35/10.79 X := sz00
% 10.35/10.79 end
% 10.35/10.79 substitution1:
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 eqswap: (30298) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, sz00 ) ==> sz00 }.
% 10.35/10.79 parent0[0]: (30297) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtpldt0( sz00, sz00 )
% 10.35/10.79 }.
% 10.35/10.79 substitution0:
% 10.35/10.79 end
% 10.35/10.79
% 10.35/10.79 subsumption: (365) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==>
% 11.50/11.93 sz00 }.
% 11.50/11.93 parent0: (30298) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, sz00 ) ==> sz00 }.
% 11.50/11.93 substitution0:
% 11.50/11.93 end
% 11.50/11.93 permutation0:
% 11.50/11.93 0 ==> 0
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 *** allocated 15000 integers for justifications
% 11.50/11.93 *** allocated 22500 integers for justifications
% 11.50/11.93 eqswap: (30299) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X ) }.
% 11.50/11.93 parent0[1]: (233) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10
% 11.50/11.93 }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := X
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 paramod: (30300) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! alpha4(
% 11.50/11.93 sz10, X ) }.
% 11.50/11.93 parent0[0]: (30299) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X )
% 11.50/11.93 }.
% 11.50/11.93 parent1[0; 1]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := X
% 11.50/11.93 end
% 11.50/11.93 substitution1:
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 subsumption: (620) {G2,W5,D2,L2,V1,M2} P(233,2) { aNaturalNumber0( X ), !
% 11.50/11.93 alpha4( sz10, X ) }.
% 11.50/11.93 parent0: (30300) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! alpha4(
% 11.50/11.93 sz10, X ) }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := X
% 11.50/11.93 end
% 11.50/11.93 permutation0:
% 11.50/11.93 0 ==> 0
% 11.50/11.93 1 ==> 1
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 eqswap: (30754) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 11.50/11.93 parent0[0]: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := Y
% 11.50/11.93 Y := X
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 resolution: (30755) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! sz10 = X
% 11.50/11.93 }.
% 11.50/11.93 parent0[1]: (620) {G2,W5,D2,L2,V1,M2} P(233,2) { aNaturalNumber0( X ), !
% 11.50/11.93 alpha4( sz10, X ) }.
% 11.50/11.93 parent1[1]: (30754) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := X
% 11.50/11.93 end
% 11.50/11.93 substitution1:
% 11.50/11.93 X := X
% 11.50/11.93 Y := sz10
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 eqswap: (30756) {G1,W5,D2,L2,V1,M2} { ! X = sz10, aNaturalNumber0( X ) }.
% 11.50/11.93 parent0[1]: (30755) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! sz10 = X
% 11.50/11.93 }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := X
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 subsumption: (801) {G3,W5,D2,L2,V1,M2} R(620,73) { aNaturalNumber0( X ), !
% 11.50/11.93 X = sz10 }.
% 11.50/11.93 parent0: (30756) {G1,W5,D2,L2,V1,M2} { ! X = sz10, aNaturalNumber0( X )
% 11.50/11.93 }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := X
% 11.50/11.93 end
% 11.50/11.93 permutation0:
% 11.50/11.93 0 ==> 1
% 11.50/11.93 1 ==> 0
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 eqswap: (30757) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 11.50/11.93 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 11.50/11.93 sdtasdt0( X, Z ), Y = Z }.
% 11.50/11.93 parent0[1]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 11.50/11.93 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 11.50/11.93 sdtasdt0( X, Z ), Y = Z }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := X
% 11.50/11.93 Y := Y
% 11.50/11.93 Z := Z
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 resolution: (30762) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 11.50/11.93 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xp ), Y =
% 11.50/11.93 xp }.
% 11.50/11.93 parent0[3]: (30757) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 11.50/11.93 ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 11.50/11.93 sdtasdt0( X, Z ), Y = Z }.
% 11.50/11.93 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := X
% 11.50/11.93 Y := Y
% 11.50/11.93 Z := xp
% 11.50/11.93 end
% 11.50/11.93 substitution1:
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 eqswap: (30765) {G1,W17,D3,L5,V2,M5} { xp = X, sz00 = Y, ! aNaturalNumber0
% 11.50/11.93 ( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) = sdtasdt0( Y, xp ) }.
% 11.50/11.93 parent0[4]: (30762) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 11.50/11.93 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xp ), Y =
% 11.50/11.93 xp }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := Y
% 11.50/11.93 Y := X
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 eqswap: (30766) {G1,W17,D3,L5,V2,M5} { X = sz00, xp = Y, ! aNaturalNumber0
% 11.50/11.93 ( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xp ) }.
% 11.50/11.93 parent0[1]: (30765) {G1,W17,D3,L5,V2,M5} { xp = X, sz00 = Y, !
% 11.50/11.93 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 11.50/11.93 sdtasdt0( Y, xp ) }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := Y
% 11.50/11.93 Y := X
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 eqswap: (30767) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xp ) = sdtasdt0( X,
% 11.50/11.93 Y ), X = sz00, xp = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 11.50/11.93 parent0[4]: (30766) {G1,W17,D3,L5,V2,M5} { X = sz00, xp = Y, !
% 11.50/11.93 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 11.50/11.93 sdtasdt0( X, xp ) }.
% 11.50/11.93 substitution0:
% 11.50/11.93 X := X
% 11.50/11.93 Y := Y
% 11.50/11.93 end
% 11.50/11.93
% 11.50/11.93 subsumption: (1001) {G1,W17,D3,L5,V2,M5} R(20,83) { ! aNaturalNumber0( X )
% 11.50/11.93 , X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xp ) = sdtasdt0( X, Y
% 11.50/11.93 ), xp = Y }.
% 11.50/11.93 parent0: (30767) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xp ) = sdtasdt0( X
% 12.05/12.42 , Y ), X = sz00, xp = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 12.05/12.42 }.
% 12.05/12.42 substitution0:
% 12.05/12.42 X := X
% 12.05/12.42 Y := Y
% 12.05/12.42 end
% 12.05/12.42 permutation0:
% 12.05/12.42 0 ==> 3
% 12.05/12.42 1 ==> 1
% 12.05/12.42 2 ==> 4
% 12.05/12.42 3 ==> 0
% 12.05/12.42 4 ==> 2
% 12.05/12.42 end
% 12.05/12.42
% 12.05/12.42 eqswap: (30788) {G1,W17,D3,L5,V2,M5} { X = xp, ! aNaturalNumber0( Y ), Y =
% 12.05/12.42 sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xp ) = sdtasdt0( Y, X ) }.
% 12.05/12.42 parent0[4]: (1001) {G1,W17,D3,L5,V2,M5} R(20,83) { ! aNaturalNumber0( X ),
% 12.05/12.42 X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xp ) = sdtasdt0( X, Y )
% 12.05/12.42 , xp = Y }.
% 12.05/12.42 substitution0:
% 12.05/12.42 X := Y
% 12.05/12.42 Y := X
% 12.05/12.42 end
% 12.05/12.42
% 12.05/12.42 eqswap: (30790) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) = sdtasdt0( X,
% 12.05/12.42 xp ), Y = xp, ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y )
% 12.05/12.42 }.
% 12.05/12.42 parent0[4]: (30788) {G1,W17,D3,L5,V2,M5} { X = xp, ! aNaturalNumber0( Y )
% 12.05/12.42 , Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xp ) = sdtasdt0( Y, X
% 12.05/12.42 ) }.
% 12.05/12.42 substitution0:
% 12.05/12.42 X := Y
% 12.05/12.42 Y := X
% 12.05/12.42 end
% 12.05/12.42
% 12.05/12.42 eqfact: (30871) {G0,W17,D3,L5,V1,M5} { ! xp = sz00, ! sdtasdt0( X, X ) =
% 12.05/12.42 sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( X
% 12.05/12.42 ) }.
% 12.05/12.42 parent0[1, 3]: (30790) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) =
% 12.05/12.42 sdtasdt0( X, xp ), Y = xp, ! aNaturalNumber0( X ), X = sz00, !
% 12.05/12.42 aNaturalNumber0( Y ) }.
% 12.05/12.42 substitution0:
% 12.05/12.42 X := X
% 12.05/12.42 Y := X
% 12.05/12.42 end
% 12.05/12.42
% 12.05/12.42 factor: (30874) {G0,W15,D3,L4,V1,M4} { ! xp = sz00, ! sdtasdt0( X, X ) =
% 12.05/12.42 sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00 }.
% 12.05/12.42 parent0[2, 4]: (30871) {G0,W17,D3,L5,V1,M5} { ! xp = sz00, ! sdtasdt0( X,
% 12.05/12.42 X ) = sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00, !
% 12.05/12.42 aNaturalNumber0( X ) }.
% 12.05/12.42 substitution0:
% 12.05/12.42 X := X
% 12.05/12.42 end
% 12.05/12.42
% 12.05/12.42 eqswap: (30876) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xp ) = sdtasdt0( X,
% 12.05/12.42 X ), ! xp = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 12.05/12.42 parent0[1]: (30874) {G0,W15,D3,L4,V1,M4} { ! xp = sz00, ! sdtasdt0( X, X )
% 12.05/12.42 = sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00 }.
% 12.05/12.42 substitution0:
% 12.05/12.42 X := X
% 12.05/12.42 end
% 12.05/12.42
% 12.05/12.42 subsumption: (1136) {G2,W15,D3,L4,V1,M4} E(1001);f { ! xp ==> sz00, !
% 12.05/12.42 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X )
% 12.05/12.43 }.
% 12.05/12.43 parent0: (30876) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xp ) = sdtasdt0( X
% 12.05/12.43 , X ), ! xp = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := X
% 12.05/12.43 end
% 12.05/12.43 permutation0:
% 12.05/12.43 0 ==> 3
% 12.05/12.43 1 ==> 0
% 12.05/12.43 2 ==> 1
% 12.05/12.43 3 ==> 2
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqswap: (30903) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xp, ! aNaturalNumber0( X
% 12.05/12.43 ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X ) }.
% 12.05/12.43 parent0[0]: (1136) {G2,W15,D3,L4,V1,M4} E(1001);f { ! xp ==> sz00, !
% 12.05/12.43 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X )
% 12.05/12.43 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := X
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqrefl: (30910) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xp, ! aNaturalNumber0( xp
% 12.05/12.43 ), xp = sz00 }.
% 12.05/12.43 parent0[3]: (30903) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xp, !
% 12.05/12.43 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X )
% 12.05/12.43 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := xp
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 resolution: (30911) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp = sz00 }.
% 12.05/12.43 parent0[1]: (30910) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xp, ! aNaturalNumber0
% 12.05/12.43 ( xp ), xp = sz00 }.
% 12.05/12.43 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqswap: (30912) {G1,W6,D2,L2,V0,M2} { ! xp ==> sz00, xp = sz00 }.
% 12.05/12.43 parent0[0]: (30911) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp = sz00 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 subsumption: (1139) {G3,W6,D2,L2,V0,M2} Q(1136);r(83) { ! xp ==> sz00, xp
% 12.05/12.43 ==> sz00 }.
% 12.05/12.43 parent0: (30912) {G1,W6,D2,L2,V0,M2} { ! xp ==> sz00, xp = sz00 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 permutation0:
% 12.05/12.43 0 ==> 0
% 12.05/12.43 1 ==> 1
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 *** allocated 864960 integers for termspace/termends
% 12.05/12.43 eqswap: (30915) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.05/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 12.05/12.43 parent0[2]: (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 12.05/12.43 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := X
% 12.05/12.43 Y := Y
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 paramod: (30918) {G1,W11,D3,L4,V1,M4} { isPrime0( sz00 ), ! sz00 ==>
% 12.05/12.43 sdtpldt0( xp, X ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.05/12.43 parent0[3]: (30915) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.05/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 12.05/12.43 parent1[0; 1]: (85) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := xp
% 12.05/12.43 Y := X
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 resolution: (31458) {G2,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( xp, X ), !
% 12.05/12.43 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.05/12.43 parent0[0]: (231) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 12.05/12.43 parent1[0]: (30918) {G1,W11,D3,L4,V1,M4} { isPrime0( sz00 ), ! sz00 ==>
% 12.05/12.43 sdtpldt0( xp, X ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 X := X
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqswap: (31459) {G2,W9,D3,L3,V1,M3} { ! sdtpldt0( xp, X ) ==> sz00, !
% 12.05/12.43 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.05/12.43 parent0[0]: (31458) {G2,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( xp, X ), !
% 12.05/12.43 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := X
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 subsumption: (1459) {G2,W9,D3,L3,V1,M3} P(22,85);r(231) { ! aNaturalNumber0
% 12.05/12.43 ( xp ), ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) ==> sz00 }.
% 12.05/12.43 parent0: (31459) {G2,W9,D3,L3,V1,M3} { ! sdtpldt0( xp, X ) ==> sz00, !
% 12.05/12.43 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := X
% 12.05/12.43 end
% 12.05/12.43 permutation0:
% 12.05/12.43 0 ==> 2
% 12.05/12.43 1 ==> 0
% 12.05/12.43 2 ==> 1
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 factor: (31464) {G2,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xp ), ! sdtpldt0
% 12.05/12.43 ( xp, xp ) ==> sz00 }.
% 12.05/12.43 parent0[0, 1]: (1459) {G2,W9,D3,L3,V1,M3} P(22,85);r(231) { !
% 12.05/12.43 aNaturalNumber0( xp ), ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) ==>
% 12.05/12.43 sz00 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := xp
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 resolution: (31465) {G1,W5,D3,L1,V0,M1} { ! sdtpldt0( xp, xp ) ==> sz00
% 12.05/12.43 }.
% 12.05/12.43 parent0[0]: (31464) {G2,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xp ), !
% 12.05/12.43 sdtpldt0( xp, xp ) ==> sz00 }.
% 12.05/12.43 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 subsumption: (1462) {G3,W5,D3,L1,V0,M1} F(1459);r(83) { ! sdtpldt0( xp, xp
% 12.05/12.43 ) ==> sz00 }.
% 12.05/12.43 parent0: (31465) {G1,W5,D3,L1,V0,M1} { ! sdtpldt0( xp, xp ) ==> sz00 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 permutation0:
% 12.05/12.43 0 ==> 0
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqswap: (31467) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 12.05/12.43 parent0[0]: (1139) {G3,W6,D2,L2,V0,M2} Q(1136);r(83) { ! xp ==> sz00, xp
% 12.05/12.43 ==> sz00 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqswap: (31470) {G3,W5,D3,L1,V0,M1} { ! sz00 ==> sdtpldt0( xp, xp ) }.
% 12.05/12.43 parent0[0]: (1462) {G3,W5,D3,L1,V0,M1} F(1459);r(83) { ! sdtpldt0( xp, xp )
% 12.05/12.43 ==> sz00 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 paramod: (31473) {G4,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( xp, sz00 ), !
% 12.05/12.43 sz00 ==> xp }.
% 12.05/12.43 parent0[1]: (31467) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 12.05/12.43 parent1[0; 5]: (31470) {G3,W5,D3,L1,V0,M1} { ! sz00 ==> sdtpldt0( xp, xp )
% 12.05/12.43 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 paramod: (31475) {G4,W11,D3,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==> xp, !
% 12.05/12.43 sz00 ==> sdtpldt0( xp, sz00 ) }.
% 12.05/12.43 parent0[1]: (31467) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 12.05/12.43 parent1[1; 3]: (31473) {G4,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( xp, sz00
% 12.05/12.43 ), ! sz00 ==> xp }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 paramod: (31477) {G4,W14,D3,L4,V0,M4} { ! sz00 ==> sdtpldt0( sz00, sz00 )
% 12.05/12.43 , ! sz00 ==> xp, ! sz00 ==> sz00, ! sz00 ==> xp }.
% 12.05/12.43 parent0[1]: (31467) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 12.05/12.43 parent1[2; 4]: (31475) {G4,W11,D3,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==>
% 12.05/12.43 xp, ! sz00 ==> sdtpldt0( xp, sz00 ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 paramod: (31487) {G2,W12,D2,L4,V0,M4} { ! sz00 ==> sz00, ! sz00 ==> xp, !
% 12.05/12.43 sz00 ==> sz00, ! sz00 ==> xp }.
% 12.05/12.43 parent0[0]: (365) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==>
% 12.05/12.43 sz00 }.
% 12.05/12.43 parent1[0; 3]: (31477) {G4,W14,D3,L4,V0,M4} { ! sz00 ==> sdtpldt0( sz00,
% 12.05/12.43 sz00 ), ! sz00 ==> xp, ! sz00 ==> sz00, ! sz00 ==> xp }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 factor: (31488) {G2,W9,D2,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==> xp, !
% 12.05/12.43 sz00 ==> xp }.
% 12.05/12.43 parent0[0, 2]: (31487) {G2,W12,D2,L4,V0,M4} { ! sz00 ==> sz00, ! sz00 ==>
% 12.05/12.43 xp, ! sz00 ==> sz00, ! sz00 ==> xp }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 factor: (31489) {G2,W6,D2,L2,V0,M2} { ! sz00 ==> sz00, ! sz00 ==> xp }.
% 12.05/12.43 parent0[1, 2]: (31488) {G2,W9,D2,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==>
% 12.05/12.43 xp, ! sz00 ==> xp }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqrefl: (31490) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> xp }.
% 12.05/12.43 parent0[0]: (31489) {G2,W6,D2,L2,V0,M2} { ! sz00 ==> sz00, ! sz00 ==> xp
% 12.05/12.43 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqswap: (31491) {G0,W3,D2,L1,V0,M1} { ! xp ==> sz00 }.
% 12.05/12.43 parent0[0]: (31490) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> xp }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 subsumption: (1796) {G4,W3,D2,L1,V0,M1} P(1139,1462);d(365);q { ! xp ==>
% 12.05/12.43 sz00 }.
% 12.05/12.43 parent0: (31491) {G0,W3,D2,L1,V0,M1} { ! xp ==> sz00 }.
% 12.05/12.43 substitution0:
% 12.05/12.43 end
% 12.05/12.43 permutation0:
% 12.05/12.43 0 ==> 0
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqswap: (31492) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 12.05/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 12.05/12.43 sdtlseqdt0( X, Z ) }.
% 12.05/12.43 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 12.05/12.43 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 12.05/12.43 sdtlseqdt0( X, Y ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := X
% 12.05/12.43 Y := Z
% 12.05/12.43 Z := Y
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 resolution: (31494) {G1,W12,D3,L4,V2,M4} { ! X = sdtpldt0( sz00, Y ), !
% 12.05/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 12.05/12.43 parent0[1]: (31492) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 12.05/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 12.05/12.43 sdtlseqdt0( X, Z ) }.
% 12.05/12.43 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := sz00
% 12.05/12.43 Y := Y
% 12.05/12.43 Z := X
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 paramod: (31502) {G1,W12,D2,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y ), !
% 12.05/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 12.05/12.43 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 12.05/12.43 sz00, X ) ==> X }.
% 12.05/12.43 parent1[0; 3]: (31494) {G1,W12,D3,L4,V2,M4} { ! X = sdtpldt0( sz00, Y ), !
% 12.05/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 12.05/12.43 substitution0:
% 12.05/12.43 X := Y
% 12.05/12.43 end
% 12.05/12.43 substitution1:
% 12.05/12.43 X := X
% 12.05/12.43 Y := Y
% 12.05/12.43 end
% 12.05/12.43
% 12.05/12.43 eqswap: (31503) {G1,W12,D2,L5,V2,M5} { ! Y = X, ! aNaturalNumber0( Y ), !
% 12.05/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ) }.
% 12.05/12.43 parent0[0]: (31502) {G1,W12,D2,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y )
% 12.05/12.43 , ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X )
% 12.06/12.43 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31505) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( X ), !
% 12.06/12.43 aNaturalNumber0( Y ), sdtlseqdt0( sz00, Y ) }.
% 12.06/12.43 parent0[1, 3]: (31503) {G1,W12,D2,L5,V2,M5} { ! Y = X, ! aNaturalNumber0(
% 12.06/12.43 Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X
% 12.06/12.43 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (1907) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0(
% 12.06/12.43 X ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 12.06/12.43 parent0: (31505) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( X ), !
% 12.06/12.43 aNaturalNumber0( Y ), sdtlseqdt0( sz00, Y ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 3
% 12.06/12.43 1 ==> 1
% 12.06/12.43 2 ==> 0
% 12.06/12.43 3 ==> 2
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31508) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 12.06/12.43 aNaturalNumber0( X ), sdtlseqdt0( sz00, Y ) }.
% 12.06/12.43 parent0[3]: (1907) {G1,W10,D2,L4,V2,M4} R(27,1);d(9) { ! aNaturalNumber0( X
% 12.06/12.43 ), ! aNaturalNumber0( Y ), sdtlseqdt0( sz00, X ), ! Y = X }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31509) {G1,W8,D2,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X ),
% 12.06/12.43 sdtlseqdt0( sz00, X ) }.
% 12.06/12.43 parent0[1, 2]: (31508) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0(
% 12.06/12.43 Y ), ! aNaturalNumber0( X ), sdtlseqdt0( sz00, Y ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqrefl: (31510) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0(
% 12.06/12.43 sz00, X ) }.
% 12.06/12.43 parent0[0]: (31509) {G1,W8,D2,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X )
% 12.06/12.43 , sdtlseqdt0( sz00, X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (1946) {G2,W5,D2,L2,V1,M2} F(1907);q { ! aNaturalNumber0( X )
% 12.06/12.43 , sdtlseqdt0( sz00, X ) }.
% 12.06/12.43 parent0: (31510) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 12.06/12.43 ( sz00, X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 0
% 12.06/12.43 1 ==> 1
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31511) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xp ) }.
% 12.06/12.43 parent0[0]: (1946) {G2,W5,D2,L2,V1,M2} F(1907);q { ! aNaturalNumber0( X ),
% 12.06/12.43 sdtlseqdt0( sz00, X ) }.
% 12.06/12.43 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := xp
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (1985) {G3,W3,D2,L1,V0,M1} R(1946,83) { sdtlseqdt0( sz00, xp )
% 12.06/12.43 }.
% 12.06/12.43 parent0: (31511) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, xp ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 0
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31512) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 12.06/12.43 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 12.06/12.43 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 12.06/12.43 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 12.06/12.43 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Z
% 12.06/12.43 Z := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31516) {G1,W18,D3,L6,V2,M6} { ! X = sdtpldt0( sz00, Y ), !
% 12.06/12.43 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ),
% 12.06/12.43 Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[3]: (31512) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 12.06/12.43 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 12.06/12.43 parent1[1]: (1946) {G2,W5,D2,L2,V1,M2} F(1907);q { ! aNaturalNumber0( X ),
% 12.06/12.43 sdtlseqdt0( sz00, X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := sz00
% 12.06/12.43 Y := Y
% 12.06/12.43 Z := X
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 paramod: (31525) {G1,W18,D3,L7,V2,M7} { ! X = Y, ! aNaturalNumber0( Y ), !
% 12.06/12.43 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 12.06/12.43 , Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 12.06/12.43 sz00, X ) ==> X }.
% 12.06/12.43 parent1[0; 3]: (31516) {G1,W18,D3,L6,V2,M6} { ! X = sdtpldt0( sz00, Y ), !
% 12.06/12.43 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 12.06/12.43 , Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31528) {G1,W16,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y ), !
% 12.06/12.43 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 )
% 12.06/12.43 , ! aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[1, 4]: (31525) {G1,W18,D3,L7,V2,M7} { ! X = Y, ! aNaturalNumber0(
% 12.06/12.43 Y ), ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! aNaturalNumber0
% 12.06/12.43 ( Y ), Y = sdtmndt0( X, sz00 ), ! aNaturalNumber0( X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31532) {G1,W14,D3,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y ), !
% 12.06/12.43 aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 )
% 12.06/12.43 }.
% 12.06/12.43 parent0[3, 5]: (31528) {G1,W16,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0(
% 12.06/12.43 Y ), ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X,
% 12.06/12.43 sz00 ), ! aNaturalNumber0( X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31585) {G1,W12,D3,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( Y )
% 12.06/12.43 , ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 12.06/12.43 parent0[2]: (31532) {G1,W14,D3,L5,V2,M5} { ! X = Y, ! aNaturalNumber0( Y )
% 12.06/12.43 , ! aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), Y = sdtmndt0( X,
% 12.06/12.43 sz00 ) }.
% 12.06/12.43 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31586) {G1,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 12.06/12.43 aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 12.06/12.43 parent0[0]: (31585) {G1,W12,D3,L4,V2,M4} { ! X = Y, ! aNaturalNumber0( Y )
% 12.06/12.43 , ! aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (2527) {G3,W12,D3,L4,V2,M4} R(30,1946);f;d(9);r(1) { !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sdtmndt0( X, sz00 ), !
% 12.06/12.43 Y = X }.
% 12.06/12.43 parent0: (31586) {G1,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 12.06/12.43 aNaturalNumber0( X ), Y = sdtmndt0( X, sz00 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 3
% 12.06/12.43 1 ==> 1
% 12.06/12.43 2 ==> 0
% 12.06/12.43 3 ==> 2
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31591) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 12.06/12.43 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 12.06/12.43 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 12.06/12.43 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 12.06/12.43 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Z
% 12.06/12.43 Z := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31597) {G1,W17,D3,L5,V2,M5} { ! X = sdtpldt0( Y, sz00 ), !
% 12.06/12.43 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), sz00
% 12.06/12.43 = sdtmndt0( X, Y ) }.
% 12.06/12.43 parent0[4]: (31591) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 12.06/12.43 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 12.06/12.43 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 Y := sz00
% 12.06/12.43 Z := X
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 paramod: (31605) {G1,W17,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y ), !
% 12.06/12.43 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), sz00
% 12.06/12.43 = sdtmndt0( X, Y ) }.
% 12.06/12.43 parent0[1]: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X
% 12.06/12.43 , sz00 ) ==> X }.
% 12.06/12.43 parent1[0; 3]: (31597) {G1,W17,D3,L5,V2,M5} { ! X = sdtpldt0( Y, sz00 ), !
% 12.06/12.43 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), sz00
% 12.06/12.43 = sdtmndt0( X, Y ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31607) {G1,W17,D3,L6,V2,M6} { sdtmndt0( X, Y ) = sz00, ! X = Y, !
% 12.06/12.43 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 12.06/12.43 sdtlseqdt0( Y, X ) }.
% 12.06/12.43 parent0[5]: (31605) {G1,W17,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y )
% 12.06/12.43 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ),
% 12.06/12.43 sz00 = sdtmndt0( X, Y ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31608) {G1,W17,D3,L6,V2,M6} { ! Y = X, sdtmndt0( X, Y ) = sz00, !
% 12.06/12.43 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 12.06/12.43 sdtlseqdt0( Y, X ) }.
% 12.06/12.43 parent0[1]: (31607) {G1,W17,D3,L6,V2,M6} { sdtmndt0( X, Y ) = sz00, ! X =
% 12.06/12.43 Y, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X )
% 12.06/12.43 , ! sdtlseqdt0( Y, X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31611) {G1,W15,D3,L5,V2,M5} { ! X = Y, sdtmndt0( Y, X ) = sz00, !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ) }.
% 12.06/12.43 parent0[2, 3]: (31608) {G1,W17,D3,L6,V2,M6} { ! Y = X, sdtmndt0( X, Y ) =
% 12.06/12.43 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 12.06/12.43 X ), ! sdtlseqdt0( Y, X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (2564) {G1,W15,D3,L5,V2,M5} R(30,1);d(8) { ! aNaturalNumber0(
% 12.06/12.43 X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 12.06/12.43 sz00, ! X = Y }.
% 12.06/12.43 parent0: (31611) {G1,W15,D3,L5,V2,M5} { ! X = Y, sdtmndt0( Y, X ) = sz00,
% 12.06/12.43 ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 4
% 12.06/12.43 1 ==> 3
% 12.06/12.43 2 ==> 0
% 12.06/12.43 3 ==> 1
% 12.06/12.43 4 ==> 2
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31616) {G1,W15,D3,L5,V2,M5} { ! Y = X, ! aNaturalNumber0( X ), !
% 12.06/12.43 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==> sz00 }.
% 12.06/12.43 parent0[4]: (2564) {G1,W15,D3,L5,V2,M5} R(30,1);d(8) { ! aNaturalNumber0( X
% 12.06/12.43 ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 12.06/12.43 sz00, ! X = Y }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31619) {G1,W13,D3,L4,V1,M4} { ! X = X, ! aNaturalNumber0( X ), !
% 12.06/12.43 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.06/12.43 parent0[1, 2]: (31616) {G1,W15,D3,L5,V2,M5} { ! Y = X, ! aNaturalNumber0(
% 12.06/12.43 X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 12.06/12.43 sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqrefl: (31620) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 12.06/12.43 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.06/12.43 parent0[0]: (31619) {G1,W13,D3,L4,V1,M4} { ! X = X, ! aNaturalNumber0( X )
% 12.06/12.43 , ! sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31621) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( X ), sdtmndt0
% 12.06/12.43 ( X, X ) ==> sz00, ! aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[1]: (31620) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 12.06/12.43 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.06/12.43 parent1[1]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 12.06/12.43 ( X, X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31624) {G1,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0( X
% 12.06/12.43 , X ) ==> sz00 }.
% 12.06/12.43 parent0[0, 2]: (31621) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( X ),
% 12.06/12.43 sdtmndt0( X, X ) ==> sz00, ! aNaturalNumber0( X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (2635) {G2,W7,D3,L2,V1,M2} F(2564);q;r(31) { ! aNaturalNumber0
% 12.06/12.43 ( X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.06/12.43 parent0: (31624) {G1,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0( X
% 12.06/12.43 , X ) ==> sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 0
% 12.06/12.43 1 ==> 1
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31626) {G3,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 12.06/12.43 aNaturalNumber0( X ), X = sdtmndt0( Y, sz00 ) }.
% 12.06/12.43 parent0[3]: (2527) {G3,W12,D3,L4,V2,M4} R(30,1946);f;d(9);r(1) { !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sdtmndt0( X, sz00 ), !
% 12.06/12.43 Y = X }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31629) {G3,W10,D3,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X ), X
% 12.06/12.43 = sdtmndt0( X, sz00 ) }.
% 12.06/12.43 parent0[1, 2]: (31626) {G3,W12,D3,L4,V2,M4} { ! Y = X, ! aNaturalNumber0(
% 12.06/12.43 Y ), ! aNaturalNumber0( X ), X = sdtmndt0( Y, sz00 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqrefl: (31630) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtmndt0
% 12.06/12.43 ( X, sz00 ) }.
% 12.06/12.43 parent0[0]: (31629) {G3,W10,D3,L3,V1,M3} { ! X = X, ! aNaturalNumber0( X )
% 12.06/12.43 , X = sdtmndt0( X, sz00 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31631) {G0,W7,D3,L2,V1,M2} { sdtmndt0( X, sz00 ) = X, !
% 12.06/12.43 aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[1]: (31630) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 12.06/12.43 sdtmndt0( X, sz00 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (2652) {G4,W7,D3,L2,V1,M2} F(2527);q { ! aNaturalNumber0( X )
% 12.06/12.43 , sdtmndt0( X, sz00 ) ==> X }.
% 12.06/12.43 parent0: (31631) {G0,W7,D3,L2,V1,M2} { sdtmndt0( X, sz00 ) = X, !
% 12.06/12.43 aNaturalNumber0( X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 1
% 12.06/12.43 1 ==> 0
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31632) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 12.06/12.43 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 12.06/12.43 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 12.06/12.43 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31634) {G1,W8,D2,L3,V1,M3} { ! sz10 = X, ! aNaturalNumber0( X
% 12.06/12.43 ), sdtlseqdt0( sz10, X ) }.
% 12.06/12.43 parent0[1]: (31632) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 12.06/12.43 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 12.06/12.43 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := sz10
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31638) {G2,W9,D2,L3,V1,M3} { ! sz10 = X, sdtlseqdt0( sz10, X
% 12.06/12.43 ), ! X = sz10 }.
% 12.06/12.43 parent0[1]: (31634) {G1,W8,D2,L3,V1,M3} { ! sz10 = X, ! aNaturalNumber0( X
% 12.06/12.43 ), sdtlseqdt0( sz10, X ) }.
% 12.06/12.43 parent1[0]: (801) {G3,W5,D2,L2,V1,M2} R(620,73) { aNaturalNumber0( X ), ! X
% 12.06/12.43 = sz10 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31639) {G2,W9,D2,L3,V1,M3} { ! X = sz10, sdtlseqdt0( sz10, X ), !
% 12.06/12.43 X = sz10 }.
% 12.06/12.43 parent0[0]: (31638) {G2,W9,D2,L3,V1,M3} { ! sz10 = X, sdtlseqdt0( sz10, X
% 12.06/12.43 ), ! X = sz10 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31641) {G2,W6,D2,L2,V1,M2} { ! X = sz10, sdtlseqdt0( sz10, X )
% 12.06/12.43 }.
% 12.06/12.43 parent0[0, 2]: (31639) {G2,W9,D2,L3,V1,M3} { ! X = sz10, sdtlseqdt0( sz10
% 12.06/12.43 , X ), ! X = sz10 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (3173) {G4,W6,D2,L2,V1,M2} R(34,2);r(801) { sdtlseqdt0( sz10,
% 12.06/12.43 X ), ! X = sz10 }.
% 12.06/12.43 parent0: (31641) {G2,W6,D2,L2,V1,M2} { ! X = sz10, sdtlseqdt0( sz10, X )
% 12.06/12.43 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 1
% 12.06/12.43 1 ==> 0
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31643) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 12.06/12.43 aNaturalNumber0( xk ), sdtlseqdt0( xk, xp ) }.
% 12.06/12.43 parent0[0]: (101) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xk ) }.
% 12.06/12.43 parent1[2]: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 12.06/12.43 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := xp
% 12.06/12.43 Y := xk
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31644) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xk ),
% 12.06/12.43 sdtlseqdt0( xk, xp ) }.
% 12.06/12.43 parent0[0]: (31643) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 12.06/12.43 aNaturalNumber0( xk ), sdtlseqdt0( xk, xp ) }.
% 12.06/12.43 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (3252) {G1,W5,D2,L2,V0,M2} R(35,101);r(83) { ! aNaturalNumber0
% 12.06/12.43 ( xk ), sdtlseqdt0( xk, xp ) }.
% 12.06/12.43 parent0: (31644) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xk ), sdtlseqdt0
% 12.06/12.43 ( xk, xp ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 0
% 12.06/12.43 1 ==> 1
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31645) {G4,W6,D2,L2,V1,M2} { ! sz10 = X, sdtlseqdt0( sz10, X )
% 12.06/12.43 }.
% 12.06/12.43 parent0[1]: (3173) {G4,W6,D2,L2,V1,M2} R(34,2);r(801) { sdtlseqdt0( sz10, X
% 12.06/12.43 ), ! X = sz10 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31646) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 12.06/12.43 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 12.06/12.43 aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 12.06/12.43 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 12.06/12.43 aNaturalNumber0( Z ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Z
% 12.06/12.43 Y := Y
% 12.06/12.43 Z := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31647) {G1,W14,D3,L5,V2,M5} { ! sdtmndt0( X, sz10 ) = Y, !
% 12.06/12.43 aNaturalNumber0( sz10 ), ! aNaturalNumber0( X ), aNaturalNumber0( Y ), !
% 12.06/12.43 sz10 = X }.
% 12.06/12.43 parent0[3]: (31646) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 12.06/12.43 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 12.06/12.43 aNaturalNumber0( X ) }.
% 12.06/12.43 parent1[1]: (31645) {G4,W6,D2,L2,V1,M2} { ! sz10 = X, sdtlseqdt0( sz10, X
% 12.06/12.43 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := Y
% 12.06/12.43 Y := X
% 12.06/12.43 Z := sz10
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31651) {G1,W12,D3,L4,V2,M4} { ! sdtmndt0( X, sz10 ) = Y, !
% 12.06/12.43 aNaturalNumber0( X ), aNaturalNumber0( Y ), ! sz10 = X }.
% 12.06/12.43 parent0[1]: (31647) {G1,W14,D3,L5,V2,M5} { ! sdtmndt0( X, sz10 ) = Y, !
% 12.06/12.43 aNaturalNumber0( sz10 ), ! aNaturalNumber0( X ), aNaturalNumber0( Y ), !
% 12.06/12.43 sz10 = X }.
% 12.06/12.43 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31653) {G1,W12,D3,L4,V2,M4} { ! X = sz10, ! sdtmndt0( X, sz10 ) =
% 12.06/12.43 Y, ! aNaturalNumber0( X ), aNaturalNumber0( Y ) }.
% 12.06/12.43 parent0[3]: (31651) {G1,W12,D3,L4,V2,M4} { ! sdtmndt0( X, sz10 ) = Y, !
% 12.06/12.43 aNaturalNumber0( X ), aNaturalNumber0( Y ), ! sz10 = X }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31654) {G1,W12,D3,L4,V2,M4} { ! Y = sdtmndt0( X, sz10 ), ! X =
% 12.06/12.43 sz10, ! aNaturalNumber0( X ), aNaturalNumber0( Y ) }.
% 12.06/12.43 parent0[1]: (31653) {G1,W12,D3,L4,V2,M4} { ! X = sz10, ! sdtmndt0( X, sz10
% 12.06/12.43 ) = Y, ! aNaturalNumber0( X ), aNaturalNumber0( Y ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (3980) {G5,W12,D3,L4,V2,M4} R(3173,28);r(2) { ! X = sz10, !
% 12.06/12.43 aNaturalNumber0( X ), ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 12.06/12.43 parent0: (31654) {G1,W12,D3,L4,V2,M4} { ! Y = sdtmndt0( X, sz10 ), ! X =
% 12.06/12.43 sz10, ! aNaturalNumber0( X ), aNaturalNumber0( Y ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 2
% 12.06/12.43 1 ==> 0
% 12.06/12.43 2 ==> 1
% 12.06/12.43 3 ==> 3
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31655) {G5,W12,D3,L4,V2,M4} { ! sz10 = X, ! aNaturalNumber0( X )
% 12.06/12.43 , ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 12.06/12.43 parent0[0]: (3980) {G5,W12,D3,L4,V2,M4} R(3173,28);r(2) { ! X = sz10, !
% 12.06/12.43 aNaturalNumber0( X ), ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqrefl: (31659) {G0,W9,D3,L3,V1,M3} { ! aNaturalNumber0( sz10 ), ! X =
% 12.06/12.43 sdtmndt0( sz10, sz10 ), aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[0]: (31655) {G5,W12,D3,L4,V2,M4} { ! sz10 = X, ! aNaturalNumber0(
% 12.06/12.43 X ), ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := sz10
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 paramod: (31661) {G1,W9,D2,L4,V1,M4} { ! X = sz00, ! aNaturalNumber0( sz10
% 12.06/12.43 ), ! aNaturalNumber0( sz10 ), aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[1]: (2635) {G2,W7,D3,L2,V1,M2} F(2564);q;r(31) { ! aNaturalNumber0
% 12.06/12.43 ( X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.06/12.43 parent1[1; 3]: (31659) {G0,W9,D3,L3,V1,M3} { ! aNaturalNumber0( sz10 ), !
% 12.06/12.43 X = sdtmndt0( sz10, sz10 ), aNaturalNumber0( X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := sz10
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31662) {G1,W7,D2,L3,V1,M3} { ! X = sz00, ! aNaturalNumber0( sz10
% 12.06/12.43 ), aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[1, 2]: (31661) {G1,W9,D2,L4,V1,M4} { ! X = sz00, ! aNaturalNumber0
% 12.06/12.43 ( sz10 ), ! aNaturalNumber0( sz10 ), aNaturalNumber0( X ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31663) {G1,W5,D2,L2,V1,M2} { ! X = sz00, aNaturalNumber0( X )
% 12.06/12.43 }.
% 12.06/12.43 parent0[1]: (31662) {G1,W7,D2,L3,V1,M3} { ! X = sz00, ! aNaturalNumber0(
% 12.06/12.43 sz10 ), aNaturalNumber0( X ) }.
% 12.06/12.43 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (3991) {G6,W5,D2,L2,V1,M2} Q(3980);d(2635);r(2) {
% 12.06/12.43 aNaturalNumber0( X ), ! X = sz00 }.
% 12.06/12.43 parent0: (31663) {G1,W5,D2,L2,V1,M2} { ! X = sz00, aNaturalNumber0( X )
% 12.06/12.43 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 1
% 12.06/12.43 1 ==> 0
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31665) {G6,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[1]: (3991) {G6,W5,D2,L2,V1,M2} Q(3980);d(2635);r(2) {
% 12.06/12.43 aNaturalNumber0( X ), ! X = sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31666) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.06/12.43 parent0[2]: (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 12.06/12.43 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31673) {G1,W13,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.06/12.43 aNaturalNumber0( Y ), Y = sz00, ! sz00 = X }.
% 12.06/12.43 parent0[1]: (31666) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.06/12.43 parent1[1]: (31665) {G6,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X )
% 12.06/12.43 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31684) {G1,W13,D3,L4,V2,M4} { ! X = sz00, ! sz00 ==> sdtpldt0( X
% 12.06/12.43 , Y ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.06/12.43 parent0[3]: (31673) {G1,W13,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.06/12.43 aNaturalNumber0( Y ), Y = sz00, ! sz00 = X }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31685) {G1,W13,D3,L4,V2,M4} { ! sdtpldt0( X, Y ) ==> sz00, ! X =
% 12.06/12.43 sz00, ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.06/12.43 parent0[1]: (31684) {G1,W13,D3,L4,V2,M4} { ! X = sz00, ! sz00 ==> sdtpldt0
% 12.06/12.43 ( X, Y ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 subsumption: (4004) {G7,W13,D3,L4,V2,M4} R(3991,23) { ! X = sz00, !
% 12.06/12.43 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 12.06/12.43 parent0: (31685) {G1,W13,D3,L4,V2,M4} { ! sdtpldt0( X, Y ) ==> sz00, ! X =
% 12.06/12.43 sz00, ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43 permutation0:
% 12.06/12.43 0 ==> 2
% 12.06/12.43 1 ==> 0
% 12.06/12.43 2 ==> 1
% 12.06/12.43 3 ==> 3
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31689) {G7,W13,D3,L4,V2,M4} { ! sz00 = X, ! aNaturalNumber0( Y )
% 12.06/12.43 , ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 12.06/12.43 parent0[0]: (4004) {G7,W13,D3,L4,V2,M4} R(3991,23) { ! X = sz00, !
% 12.06/12.43 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 Y := Y
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqswap: (31697) {G6,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X ) }.
% 12.06/12.43 parent0[1]: (3991) {G6,W5,D2,L2,V1,M2} Q(3980);d(2635);r(2) {
% 12.06/12.43 aNaturalNumber0( X ), ! X = sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 eqrefl: (31698) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), ! sdtpldt0
% 12.06/12.43 ( sz00, X ) ==> sz00, X = sz00 }.
% 12.06/12.43 parent0[0]: (31689) {G7,W13,D3,L4,V2,M4} { ! sz00 = X, ! aNaturalNumber0(
% 12.06/12.43 Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := sz00
% 12.06/12.43 Y := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 paramod: (31699) {G1,W10,D2,L4,V1,M4} { ! X ==> sz00, ! aNaturalNumber0( X
% 12.06/12.43 ), ! aNaturalNumber0( X ), X = sz00 }.
% 12.06/12.43 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 12.06/12.43 sz00, X ) ==> X }.
% 12.06/12.43 parent1[1; 2]: (31698) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 12.06/12.43 sdtpldt0( sz00, X ) ==> sz00, X = sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43 substitution1:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 factor: (31700) {G1,W8,D2,L3,V1,M3} { ! X ==> sz00, ! aNaturalNumber0( X )
% 12.06/12.43 , X = sz00 }.
% 12.06/12.43 parent0[1, 2]: (31699) {G1,W10,D2,L4,V1,M4} { ! X ==> sz00, !
% 12.06/12.43 aNaturalNumber0( X ), ! aNaturalNumber0( X ), X = sz00 }.
% 12.06/12.43 substitution0:
% 12.06/12.43 X := X
% 12.06/12.43 end
% 12.06/12.43
% 12.06/12.43 resolution: (31701) {G2,W9,D2,L3,V1,M3} { ! X ==> sz00, X = sz00, ! sz00 =
% 12.06/12.43 X }.
% 12.06/12.43 parent0[1]: (31700) {G1,W8,D2,L3,V1,M3} { ! X ==> sz00, ! aNaturalNCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------