TSTP Solution File: NUM524+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM524+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 06:23:13 EDT 2022
% Result : Theorem 27.62s 28.04s
% Output : Refutation 27.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM524+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jul 5 03:12:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.08 *** allocated 10000 integers for termspace/termends
% 0.71/1.08 *** allocated 10000 integers for clauses
% 0.71/1.08 *** allocated 10000 integers for justifications
% 0.71/1.08 Bliksem 1.12
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Automatic Strategy Selection
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Clauses:
% 0.71/1.08
% 0.71/1.08 { && }.
% 0.71/1.08 { aNaturalNumber0( sz00 ) }.
% 0.71/1.08 { aNaturalNumber0( sz10 ) }.
% 0.71/1.08 { ! sz10 = sz00 }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.71/1.08 ( X, Y ) ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.71/1.08 ( X, Y ) ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.71/1.08 sdtpldt0( Y, X ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.08 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.71/1.08 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.71/1.08 sdtasdt0( Y, X ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.08 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.71/1.08 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.71/1.08 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.08 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.71/1.08 , Z ) ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.08 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.71/1.08 , X ) ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.08 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.08 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.71/1.08 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.71/1.08 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.71/1.08 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.71/1.08 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.71/1.08 , X = sz00 }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.71/1.08 , Y = sz00 }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.71/1.08 , X = sz00, Y = sz00 }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.71/1.08 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.71/1.08 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.08 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.71/1.08 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.71/1.08 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.71/1.08 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.71/1.08 sdtlseqdt0( Y, X ), X = Y }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.08 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.71/1.08 X }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.71/1.08 sdtlseqdt0( Y, X ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.71/1.08 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.71/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.71/1.08 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.71/1.08 ) ) }.
% 0.71/1.08 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.71/1.08 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.71/1.08 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 1.92/2.33 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 1.92/2.33 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 1.92/2.33 ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.92/2.33 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.92/2.33 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 1.92/2.33 sdtasdt0( Z, X ) ) }.
% 1.92/2.33 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 1.92/2.33 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 1.92/2.33 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 1.92/2.33 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 1.92/2.33 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 1.92/2.33 ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 1.92/2.33 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 1.92/2.33 sdtasdt0( Y, X ) ) }.
% 1.92/2.33 { && }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.92/2.33 ), iLess0( X, Y ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 1.92/2.33 aNaturalNumber0( skol2( Z, T ) ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.92/2.33 sdtasdt0( X, skol2( X, Y ) ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.92/2.33 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.92/2.33 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.92/2.33 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.92/2.33 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 1.92/2.33 ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.92/2.33 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.92/2.33 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 1.92/2.33 ) ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.92/2.33 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 1.92/2.33 Z ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.92/2.33 sz00, sdtlseqdt0( X, Y ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.92/2.33 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 1.92/2.33 ( sdtasdt0( Z, Y ), X ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 1.92/2.33 { ! alpha1( X ), ! X = sz10 }.
% 1.92/2.33 { ! alpha1( X ), alpha2( X ) }.
% 1.92/2.33 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 1.92/2.33 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 1.92/2.33 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 1.92/2.33 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 1.92/2.33 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 1.92/2.33 { ! Y = sz10, alpha4( X, Y ) }.
% 1.92/2.33 { ! Y = X, alpha4( X, Y ) }.
% 1.92/2.33 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 1.92/2.33 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 1.92/2.33 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 1.92/2.33 }.
% 1.92/2.33 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 1.92/2.33 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 1.92/2.33 .
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.92/2.33 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ),
% 1.92/2.33 doDivides0( Z, Y ) }.
% 1.92/2.33 { aNaturalNumber0( xn ) }.
% 1.92/2.33 { aNaturalNumber0( xm ) }.
% 1.92/2.33 { aNaturalNumber0( xp ) }.
% 1.92/2.33 { ! xn = sz00 }.
% 1.92/2.33 { ! xm = sz00 }.
% 1.92/2.33 { ! xp = sz00 }.
% 1.92/2.33 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.92/2.33 = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z, sdtasdt0( Y, Y ) ) = sdtasdt0
% 1.92/2.33 ( X, X ), ! iLess0( X, xn ), ! isPrime0( Z ) }.
% 27.62/28.04 { sdtasdt0( xp, sdtasdt0( xm, xm ) ) = sdtasdt0( xn, xn ) }.
% 27.62/28.04 { isPrime0( xp ) }.
% 27.62/28.04 { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 27.62/28.04 { doDivides0( xp, xn ) }.
% 27.62/28.04 { xq = sdtsldt0( xn, xp ) }.
% 27.62/28.04 { ! sdtasdt0( xm, xm ) = sdtasdt0( xp, sdtasdt0( xq, xq ) ) }.
% 27.62/28.04
% 27.62/28.04 percentage equality = 0.293051, percentage horn = 0.705263
% 27.62/28.04 This is a problem with some equality
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Options Used:
% 27.62/28.04
% 27.62/28.04 useres = 1
% 27.62/28.04 useparamod = 1
% 27.62/28.04 useeqrefl = 1
% 27.62/28.04 useeqfact = 1
% 27.62/28.04 usefactor = 1
% 27.62/28.04 usesimpsplitting = 0
% 27.62/28.04 usesimpdemod = 5
% 27.62/28.04 usesimpres = 3
% 27.62/28.04
% 27.62/28.04 resimpinuse = 1000
% 27.62/28.04 resimpclauses = 20000
% 27.62/28.04 substype = eqrewr
% 27.62/28.04 backwardsubs = 1
% 27.62/28.04 selectoldest = 5
% 27.62/28.04
% 27.62/28.04 litorderings [0] = split
% 27.62/28.04 litorderings [1] = extend the termordering, first sorting on arguments
% 27.62/28.04
% 27.62/28.04 termordering = kbo
% 27.62/28.04
% 27.62/28.04 litapriori = 0
% 27.62/28.04 termapriori = 1
% 27.62/28.04 litaposteriori = 0
% 27.62/28.04 termaposteriori = 0
% 27.62/28.04 demodaposteriori = 0
% 27.62/28.04 ordereqreflfact = 0
% 27.62/28.04
% 27.62/28.04 litselect = negord
% 27.62/28.04
% 27.62/28.04 maxweight = 15
% 27.62/28.04 maxdepth = 30000
% 27.62/28.04 maxlength = 115
% 27.62/28.04 maxnrvars = 195
% 27.62/28.04 excuselevel = 1
% 27.62/28.04 increasemaxweight = 1
% 27.62/28.04
% 27.62/28.04 maxselected = 10000000
% 27.62/28.04 maxnrclauses = 10000000
% 27.62/28.04
% 27.62/28.04 showgenerated = 0
% 27.62/28.04 showkept = 0
% 27.62/28.04 showselected = 0
% 27.62/28.04 showdeleted = 0
% 27.62/28.04 showresimp = 1
% 27.62/28.04 showstatus = 2000
% 27.62/28.04
% 27.62/28.04 prologoutput = 0
% 27.62/28.04 nrgoals = 5000000
% 27.62/28.04 totalproof = 1
% 27.62/28.04
% 27.62/28.04 Symbols occurring in the translation:
% 27.62/28.04
% 27.62/28.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 27.62/28.04 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 27.62/28.04 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 27.62/28.04 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 27.62/28.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.62/28.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.62/28.04 aNaturalNumber0 [36, 1] (w:1, o:20, a:1, s:1, b:0),
% 27.62/28.04 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 27.62/28.04 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 27.62/28.04 sdtpldt0 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 27.62/28.04 sdtasdt0 [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 27.62/28.04 sdtlseqdt0 [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 27.62/28.04 sdtmndt0 [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 27.62/28.04 iLess0 [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 27.62/28.04 doDivides0 [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 27.62/28.04 sdtsldt0 [47, 2] (w:1, o:56, a:1, s:1, b:0),
% 27.62/28.04 isPrime0 [48, 1] (w:1, o:21, a:1, s:1, b:0),
% 27.62/28.04 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 27.62/28.04 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 27.62/28.04 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 27.62/28.04 xq [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 27.62/28.04 alpha1 [53, 1] (w:1, o:22, a:1, s:1, b:1),
% 27.62/28.04 alpha2 [54, 1] (w:1, o:23, a:1, s:1, b:1),
% 27.62/28.04 alpha3 [55, 2] (w:1, o:57, a:1, s:1, b:1),
% 27.62/28.04 alpha4 [56, 2] (w:1, o:58, a:1, s:1, b:1),
% 27.62/28.04 alpha5 [57, 3] (w:1, o:61, a:1, s:1, b:1),
% 27.62/28.04 alpha6 [58, 3] (w:1, o:62, a:1, s:1, b:1),
% 27.62/28.04 skol1 [59, 2] (w:1, o:59, a:1, s:1, b:1),
% 27.62/28.04 skol2 [60, 2] (w:1, o:60, a:1, s:1, b:1),
% 27.62/28.04 skol3 [61, 1] (w:1, o:24, a:1, s:1, b:1),
% 27.62/28.04 skol4 [62, 1] (w:1, o:25, a:1, s:1, b:1).
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Starting Search:
% 27.62/28.04
% 27.62/28.04 *** allocated 15000 integers for clauses
% 27.62/28.04 *** allocated 22500 integers for clauses
% 27.62/28.04 *** allocated 33750 integers for clauses
% 27.62/28.04 *** allocated 15000 integers for termspace/termends
% 27.62/28.04 *** allocated 50625 integers for clauses
% 27.62/28.04 *** allocated 22500 integers for termspace/termends
% 27.62/28.04 *** allocated 75937 integers for clauses
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 33750 integers for termspace/termends
% 27.62/28.04 *** allocated 113905 integers for clauses
% 27.62/28.04 *** allocated 50625 integers for termspace/termends
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 12310
% 27.62/28.04 Kept: 2056
% 27.62/28.04 Inuse: 133
% 27.62/28.04 Deleted: 7
% 27.62/28.04 Deletedinuse: 4
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 170857 integers for clauses
% 27.62/28.04 *** allocated 75937 integers for termspace/termends
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 256285 integers for clauses
% 27.62/28.04 *** allocated 113905 integers for termspace/termends
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 27639
% 27.62/28.04 Kept: 4105
% 27.62/28.04 Inuse: 191
% 27.62/28.04 Deleted: 10
% 27.62/28.04 Deletedinuse: 5
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 170857 integers for termspace/termends
% 27.62/28.04 *** allocated 384427 integers for clauses
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 51207
% 27.62/28.04 Kept: 6592
% 27.62/28.04 Inuse: 236
% 27.62/28.04 Deleted: 15
% 27.62/28.04 Deletedinuse: 5
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 256285 integers for termspace/termends
% 27.62/28.04 *** allocated 576640 integers for clauses
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 69970
% 27.62/28.04 Kept: 8617
% 27.62/28.04 Inuse: 274
% 27.62/28.04 Deleted: 20
% 27.62/28.04 Deletedinuse: 8
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 88352
% 27.62/28.04 Kept: 11273
% 27.62/28.04 Inuse: 320
% 27.62/28.04 Deleted: 25
% 27.62/28.04 Deletedinuse: 9
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 384427 integers for termspace/termends
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 864960 integers for clauses
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 107249
% 27.62/28.04 Kept: 13314
% 27.62/28.04 Inuse: 376
% 27.62/28.04 Deleted: 32
% 27.62/28.04 Deletedinuse: 16
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 124460
% 27.62/28.04 Kept: 15438
% 27.62/28.04 Inuse: 464
% 27.62/28.04 Deleted: 39
% 27.62/28.04 Deletedinuse: 17
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 149924
% 27.62/28.04 Kept: 17445
% 27.62/28.04 Inuse: 580
% 27.62/28.04 Deleted: 53
% 27.62/28.04 Deletedinuse: 18
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 1297440 integers for clauses
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 166394
% 27.62/28.04 Kept: 19465
% 27.62/28.04 Inuse: 607
% 27.62/28.04 Deleted: 60
% 27.62/28.04 Deletedinuse: 24
% 27.62/28.04
% 27.62/28.04 Resimplifying clauses:
% 27.62/28.04 *** allocated 576640 integers for termspace/termends
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 182443
% 27.62/28.04 Kept: 21673
% 27.62/28.04 Inuse: 630
% 27.62/28.04 Deleted: 5118
% 27.62/28.04 Deletedinuse: 24
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 206980
% 27.62/28.04 Kept: 23735
% 27.62/28.04 Inuse: 685
% 27.62/28.04 Deleted: 5132
% 27.62/28.04 Deletedinuse: 38
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 231835
% 27.62/28.04 Kept: 25885
% 27.62/28.04 Inuse: 742
% 27.62/28.04 Deleted: 5138
% 27.62/28.04 Deletedinuse: 41
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 244062
% 27.62/28.04 Kept: 27956
% 27.62/28.04 Inuse: 772
% 27.62/28.04 Deleted: 5138
% 27.62/28.04 Deletedinuse: 41
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 1946160 integers for clauses
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 257922
% 27.62/28.04 Kept: 30415
% 27.62/28.04 Inuse: 807
% 27.62/28.04 Deleted: 5138
% 27.62/28.04 Deletedinuse: 41
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 265583
% 27.62/28.04 Kept: 32851
% 27.62/28.04 Inuse: 822
% 27.62/28.04 Deleted: 5138
% 27.62/28.04 Deletedinuse: 41
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 274278
% 27.62/28.04 Kept: 34885
% 27.62/28.04 Inuse: 846
% 27.62/28.04 Deleted: 5138
% 27.62/28.04 Deletedinuse: 41
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 864960 integers for termspace/termends
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 291405
% 27.62/28.04 Kept: 37000
% 27.62/28.04 Inuse: 892
% 27.62/28.04 Deleted: 5138
% 27.62/28.04 Deletedinuse: 41
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 306194
% 27.62/28.04 Kept: 39190
% 27.62/28.04 Inuse: 932
% 27.62/28.04 Deleted: 5138
% 27.62/28.04 Deletedinuse: 41
% 27.62/28.04
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04 *** allocated 2919240 integers for clauses
% 27.62/28.04 Resimplifying inuse:
% 27.62/28.04 Done
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Intermediate Status:
% 27.62/28.04 Generated: 324086
% 27.62/28.04 Kept: 41209
% 27.62/28.04 Inuse: 980
% 27.62/28.04 Deleted: 5168
% 27.62/28.04 Deletedinuse: 71
% 27.62/28.04
% 27.62/28.04 Resimplifying clauses:
% 27.62/28.04
% 27.62/28.04 Bliksems!, er is een bewijs:
% 27.62/28.04 % SZS status Theorem
% 27.62/28.04 % SZS output start Refutation
% 27.62/28.04
% 27.62/28.04 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 27.62/28.04 (3) {G0,W3,D2,L1,V0,M1} I { ! sz10 ==> sz00 }.
% 27.62/28.04 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 27.62/28.04 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.62/28.04 (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.62/28.04 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.62/28.04 (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.62/28.04 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) ==> sdtasdt0
% 27.62/28.04 ( sdtasdt0( X, Y ), Z ) }.
% 27.62/28.04 (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 27.62/28.04 sz10 = X }.
% 27.62/28.04 (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.62/28.04 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 27.62/28.04 aNaturalNumber0( Z ) }.
% 27.62/28.04 (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.62/28.04 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 27.62/28.04 ( X, Z ) }.
% 27.62/28.04 (57) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.62/28.04 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 27.62/28.04 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 27.62/28.04 (62) {G0,W23,D4,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.62/28.04 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtsldt0(
% 27.62/28.04 sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) ) }.
% 27.62/28.04 (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 27.62/28.04 (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 27.62/28.04 (74) {G0,W6,D2,L2,V2,M2} I { ! Y = X, alpha4( X, Y ) }.
% 27.62/28.04 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.62/28.04 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.62/28.04 (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 27.62/28.04 (87) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 27.62/28.04 (89) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm ) ) ==>
% 27.62/28.04 sdtasdt0( xn, xn ) }.
% 27.62/28.04 (91) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 27.62/28.04 (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 27.62/28.04 (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 27.62/28.04 (94) {G0,W9,D4,L1,V0,M1} I { ! sdtasdt0( xp, sdtasdt0( xq, xq ) ) ==>
% 27.62/28.04 sdtasdt0( xm, xm ) }.
% 27.62/28.04 (225) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10 }.
% 27.62/28.04 (251) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ), aNaturalNumber0
% 27.62/28.04 ( sdtasdt0( xn, X ) ) }.
% 27.62/28.04 (253) {G1,W6,D3,L2,V1,M2} R(5,83) { ! aNaturalNumber0( X ), aNaturalNumber0
% 27.62/28.04 ( sdtasdt0( xm, X ) ) }.
% 27.62/28.04 (396) {G2,W6,D2,L2,V1,M2} P(225,3) { ! X = sz00, ! alpha4( sz10, X ) }.
% 27.62/28.04 (397) {G2,W5,D2,L2,V1,M2} P(225,2) { aNaturalNumber0( X ), ! alpha4( sz10,
% 27.62/28.04 X ) }.
% 27.62/28.04 (417) {G1,W15,D4,L3,V2,M3} R(11,84) { ! aNaturalNumber0( X ), !
% 27.62/28.04 aNaturalNumber0( Y ), sdtasdt0( xp, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 27.62/28.04 sdtasdt0( xp, X ), Y ) }.
% 27.62/28.04 (423) {G2,W13,D4,L2,V1,M2} F(417) { ! aNaturalNumber0( X ), sdtasdt0( xp,
% 27.62/28.04 sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 27.62/28.04 (434) {G3,W5,D2,L2,V1,M2} R(397,73) { aNaturalNumber0( X ), ! X = sz10 }.
% 27.62/28.04 (586) {G3,W6,D2,L2,V1,M2} R(396,73) { ! X = sz00, ! X = sz10 }.
% 27.62/28.04 (1463) {G2,W4,D3,L1,V0,M1} R(251,82) { aNaturalNumber0( sdtasdt0( xn, xn )
% 27.62/28.04 ) }.
% 27.62/28.04 (1674) {G2,W4,D3,L1,V0,M1} R(253,83) { aNaturalNumber0( sdtasdt0( xm, xm )
% 27.62/28.04 ) }.
% 27.62/28.04 (5596) {G4,W6,D2,L2,V1,M2} S(48);r(434);r(586) { X = sz10, ! sz10 = X }.
% 27.62/28.04 (7416) {G1,W10,D2,L4,V1,M4} R(55,92);d(93);r(84) { ! aNaturalNumber0( xn )
% 27.62/28.04 , xp ==> sz00, aNaturalNumber0( X ), ! X = xq }.
% 27.62/28.04 (7509) {G2,W5,D2,L2,V0,M2} Q(7416);r(82) { xp ==> sz00, aNaturalNumber0( xq
% 27.62/28.04 ) }.
% 27.62/28.04 (7674) {G1,W13,D3,L4,V1,M4} R(56,92);d(93);r(84) { ! aNaturalNumber0( xn )
% 27.62/28.04 , xp ==> sz00, sdtasdt0( xp, X ) ==> xn, ! X = xq }.
% 27.62/28.04 (7893) {G2,W8,D3,L2,V0,M2} Q(7674);r(82) { xp ==> sz00, sdtasdt0( xp, xq )
% 27.62/28.04 ==> xn }.
% 27.62/28.04 (8369) {G3,W2,D2,L1,V0,M1} S(7509);r(87) { aNaturalNumber0( xq ) }.
% 27.62/28.04 (9121) {G1,W16,D4,L4,V1,M4} R(62,92);d(93);r(84) { ! aNaturalNumber0( xn )
% 27.62/28.04 , xp ==> sz00, ! aNaturalNumber0( X ), sdtsldt0( sdtasdt0( X, xn ), xp )
% 27.62/28.04 ==> sdtasdt0( X, xq ) }.
% 27.62/28.04 (9294) {G2,W12,D4,L2,V0,M2} F(9121);r(82) { xp ==> sz00, sdtsldt0( sdtasdt0
% 27.62/28.04 ( xn, xn ), xp ) ==> sdtasdt0( xn, xq ) }.
% 27.62/28.04 (10505) {G5,W12,D2,L4,V3,M4} P(72,5596) { Y = X, ! X = Y, ! alpha4( Z, X )
% 27.62/28.04 , X = Z }.
% 27.62/28.04 (11245) {G6,W6,D2,L2,V2,M2} E(10505);q;r(74) { Y = X, ! X = Y }.
% 27.62/28.04 (12753) {G1,W24,D3,L6,V1,M6} P(89,57);r(84) { ! aNaturalNumber0( X ), xp
% 27.62/28.04 ==> sz00, ! doDivides0( xp, X ), ! aNaturalNumber0( sdtasdt0( xm, xm ) )
% 27.62/28.04 , ! X = sdtasdt0( xn, xn ), sdtasdt0( xm, xm ) = sdtsldt0( X, xp ) }.
% 27.62/28.04 (12923) {G4,W9,D4,L1,V0,M1} P(10,94);f;d(423);r(8369) { ! sdtasdt0(
% 27.62/28.04 sdtasdt0( xp, xq ), xq ) ==> sdtasdt0( xm, xm ) }.
% 27.62/28.04 (19071) {G7,W7,D3,L2,V1,M2} P(11245,1463) { aNaturalNumber0( X ), ! X =
% 27.62/28.04 sdtasdt0( xn, xn ) }.
% 27.62/28.04 (19084) {G7,W8,D3,L2,V1,M2} P(11245,91) { doDivides0( xp, X ), ! X =
% 27.62/28.04 sdtasdt0( xn, xn ) }.
% 27.62/28.04 (20953) {G8,W12,D3,L2,V1,M2} S(12753);r(19071);r(87);r(19084);r(1674) { ! X
% 27.62/28.04 = sdtasdt0( xn, xn ), sdtasdt0( xm, xm ) = sdtsldt0( X, xp ) }.
% 27.62/28.04 (21170) {G3,W9,D4,L1,V0,M1} S(9294);r(87) { sdtsldt0( sdtasdt0( xn, xn ),
% 27.62/28.04 xp ) ==> sdtasdt0( xn, xq ) }.
% 27.62/28.04 (21237) {G3,W5,D3,L1,V0,M1} S(7893);r(87) { sdtasdt0( xp, xq ) ==> xn }.
% 27.62/28.04 (21661) {G9,W7,D3,L1,V0,M1} Q(20953);d(21170) { sdtasdt0( xn, xq ) ==>
% 27.62/28.04 sdtasdt0( xm, xm ) }.
% 27.62/28.04 (42620) {G10,W0,D0,L0,V0,M0} S(12923);d(21237);d(21661);q { }.
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 % SZS output end Refutation
% 27.62/28.04 found a proof!
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Unprocessed initial clauses:
% 27.62/28.04
% 27.62/28.04 (42622) {G0,W1,D1,L1,V0,M1} { && }.
% 27.62/28.04 (42623) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 27.62/28.04 (42624) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 27.62/28.04 (42625) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 27.62/28.04 (42626) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.62/28.04 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.62/28.04 (42627) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.62/28.04 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.62/28.04 (42628) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.62/28.04 (42629) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 27.62/28.04 X, sdtpldt0( Y, Z ) ) }.
% 27.62/28.04 (42630) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 27.62/28.04 = X }.
% 27.62/28.04 (42631) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 27.62/28.04 X ) }.
% 27.62/28.04 (42632) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.62/28.04 (42633) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 27.62/28.04 X, sdtasdt0( Y, Z ) ) }.
% 27.62/28.04 (42634) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 27.62/28.04 = X }.
% 27.62/28.04 (42635) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 27.62/28.04 X ) }.
% 27.62/28.04 (42636) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 27.62/28.04 = sz00 }.
% 27.62/28.04 (42637) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 27.62/28.04 sz00, X ) }.
% 27.62/28.04 (42638) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 27.62/28.04 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 27.62/28.04 (42639) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 27.62/28.04 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.62/28.04 (42640) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 27.62/28.04 }.
% 27.62/28.04 (42641) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 27.62/28.04 }.
% 27.62/28.04 (42642) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 27.62/28.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 27.62/28.04 sdtasdt0( X, Z ), Y = Z }.
% 27.62/28.04 (42643) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 27.62/28.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 27.62/28.04 sdtasdt0( Z, X ), Y = Z }.
% 27.62/28.04 (42644) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 27.62/28.04 (42645) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 27.62/28.04 (42646) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 27.62/28.04 (42647) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 27.62/28.04 (42648) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 27.62/28.04 (42649) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 27.62/28.04 }.
% 27.62/28.04 (42650) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 27.62/28.04 }.
% 27.62/28.04 (42651) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 27.62/28.04 }.
% 27.62/28.04 (42652) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 27.62/28.04 , Z = sdtmndt0( Y, X ) }.
% 27.62/28.04 (42653) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 27.62/28.04 }.
% 27.62/28.04 (42654) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 27.62/28.04 (42655) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 27.62/28.04 sdtlseqdt0( X, Z ) }.
% 27.62/28.04 (42656) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 27.62/28.04 (42657) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 27.62/28.04 (42658) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 27.62/28.04 ) }.
% 27.62/28.04 (42659) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 27.62/28.04 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 27.62/28.04 (42660) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 27.62/28.04 sdtpldt0( Z, Y ) }.
% 27.62/28.04 (42661) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 27.62/28.04 Z, X ), sdtpldt0( Z, Y ) ) }.
% 27.62/28.04 (42662) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 27.62/28.04 sdtpldt0( Y, Z ) }.
% 27.62/28.04 (42663) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 27.62/28.04 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 27.62/28.04 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 27.62/28.04 (42664) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 27.62/28.04 alpha6( X, Y, Z ) }.
% 27.62/28.04 (42665) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 27.62/28.04 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.62/28.04 (42666) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 27.62/28.04 sdtasdt0( X, Z ) }.
% 27.62/28.04 (42667) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 27.62/28.04 X, Y ), sdtasdt0( X, Z ) ) }.
% 27.62/28.04 (42668) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 27.62/28.04 sdtasdt0( Z, X ) }.
% 27.62/28.04 (42669) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 27.62/28.04 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 27.62/28.04 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 27.62/28.04 (42670) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.62/28.04 , ! sz10 = X }.
% 27.62/28.04 (42671) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.62/28.04 , sdtlseqdt0( sz10, X ) }.
% 27.62/28.04 (42672) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 27.62/28.04 (42673) {G0,W1,D1,L1,V0,M1} { && }.
% 27.62/28.04 (42674) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 27.62/28.04 (42675) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 27.62/28.04 (42676) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 27.62/28.04 (42677) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 27.62/28.04 }.
% 27.62/28.04 (42678) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 27.62/28.04 aNaturalNumber0( Z ) }.
% 27.62/28.04 (42679) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 27.62/28.04 ( X, Z ) }.
% 27.62/28.04 (42680) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 27.62/28.04 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 27.62/28.04 (42681) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 27.62/28.04 doDivides0( X, Z ) }.
% 27.62/28.04 (42682) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 27.62/28.04 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 27.62/28.04 (42683) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 27.62/28.04 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 27.62/28.04 (42684) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 27.62/28.04 (42685) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 27.62/28.04 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 27.62/28.04 (42686) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 27.62/28.04 = sz00 }.
% 27.62/28.04 (42687) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 27.62/28.04 alpha1( X ) }.
% 27.62/28.04 (42688) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 27.62/28.04 X ), isPrime0( X ) }.
% 27.62/28.04 (42689) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 27.62/28.04 (42690) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 27.62/28.04 (42691) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 27.62/28.04 (42692) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 27.62/28.04 Y ) }.
% 27.62/28.04 (42693) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 27.62/28.04 (42694) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 27.62/28.04 (42695) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 27.62/28.04 (42696) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 27.62/28.04 (42697) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 27.62/28.04 (42698) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 27.62/28.04 (42699) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 27.62/28.04 (42700) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 27.62/28.04 , alpha3( X, Y ) }.
% 27.62/28.04 (42701) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.62/28.04 , aNaturalNumber0( skol4( Y ) ) }.
% 27.62/28.04 (42702) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.62/28.04 , isPrime0( skol4( Y ) ) }.
% 27.62/28.04 (42703) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.62/28.04 , doDivides0( skol4( X ), X ) }.
% 27.62/28.04 (42704) {G0,W19,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 27.62/28.04 X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 27.62/28.04 (42705) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 27.62/28.04 (42706) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 27.62/28.04 (42707) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 27.62/28.04 (42708) {G0,W3,D2,L1,V0,M1} { ! xn = sz00 }.
% 27.62/28.04 (42709) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 27.62/28.04 (42710) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 27.62/28.04 (42711) {G0,W29,D4,L9,V3,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.62/28.04 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z
% 27.62/28.04 , sdtasdt0( Y, Y ) ) = sdtasdt0( X, X ), ! iLess0( X, xn ), ! isPrime0( Z
% 27.62/28.04 ) }.
% 27.62/28.04 (42712) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) ) =
% 27.62/28.04 sdtasdt0( xn, xn ) }.
% 27.62/28.04 (42713) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 27.62/28.04 (42714) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 27.62/28.04 (42715) {G0,W3,D2,L1,V0,M1} { doDivides0( xp, xn ) }.
% 27.62/28.04 (42716) {G0,W5,D3,L1,V0,M1} { xq = sdtsldt0( xn, xp ) }.
% 27.62/28.04 (42717) {G0,W9,D4,L1,V0,M1} { ! sdtasdt0( xm, xm ) = sdtasdt0( xp,
% 27.62/28.04 sdtasdt0( xq, xq ) ) }.
% 27.62/28.04
% 27.62/28.04
% 27.62/28.04 Total Proof:
% 27.62/28.04
% 27.62/28.04 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 27.62/28.04 parent0: (42624) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 27.62/28.04 substitution0:
% 27.62/28.04 end
% 27.62/28.04 permutation0:
% 27.62/28.04 0 ==> 0
% 27.62/28.04 end
% 27.62/28.04
% 27.62/28.04 subsumption: (3) {G0,W3,D2,L1,V0,M1} I { ! sz10 ==> sz00 }.
% 27.62/28.04 parent0: (42625) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 27.62/28.04 substitution0:
% 27.62/28.04 end
% 27.62/28.04 permutation0:
% 27.62/28.04 0 ==> 0
% 27.62/28.04 end
% 27.62/28.04
% 27.62/28.04 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.62/28.04 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.62/28.04 parent0: (42627) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 27.62/28.04 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.62/28.04 substitution0:
% 27.62/28.04 X := X
% 27.62/28.04 Y := Y
% 27.62/28.04 end
% 27.62/28.04 permutation0:
% 27.62/28.04 0 ==> 0
% 27.62/28.04 1 ==> 1
% 27.62/28.04 2 ==> 2
% 27.62/28.04 end
% 27.62/28.04
% 27.62/28.04 subsumption: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.62/28.05 parent0: (42632) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.62/28.05 substitution0:
% 27.62/28.05 X := X
% 27.62/28.05 Y := Y
% 27.62/28.05 end
% 27.62/28.05 permutation0:
% 27.62/28.05 0 ==> 0
% 27.62/28.05 1 ==> 1
% 27.62/28.05 2 ==> 2
% 27.62/28.05 end
% 27.62/28.05
% 27.62/28.05 eqswap: (42754) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 27.62/28.05 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 27.62/28.05 parent0[3]: (42633) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y )
% 27.62/28.05 , Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 27.62/28.05 substitution0:
% 27.62/28.05 X := X
% 27.62/28.05 Y := Y
% 27.62/28.05 Z := Z
% 27.62/28.05 end
% 27.62/28.05
% 27.62/28.05 subsumption: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 27.62/28.05 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 27.62/28.05 parent0: (42754) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 27.62/28.05 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 27.62/28.05 substitution0:
% 27.62/28.05 X := X
% 27.62/28.05 Y := Y
% 27.62/28.05 Z := Z
% 27.62/28.05 end
% 27.62/28.05 permutation0:
% 27.62/28.05 0 ==> 3
% 27.62/28.05 1 ==> 0
% 27.62/28.05 2 ==> 1
% 27.62/28.05 3 ==> 2
% 27.62/28.05 end
% 27.62/28.05
% 27.62/28.05 subsumption: (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 27.62/28.05 , X = sz10, ! sz10 = X }.
% 27.62/28.05 parent0: (42670) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00,
% 27.62/28.05 X = sz10, ! sz10 = X }.
% 27.62/28.05 substitution0:
% 27.62/28.05 X := X
% 27.62/28.05 end
% 27.62/28.05 permutation0:
% 27.62/28.05 0 ==> 0
% 27.62/28.05 1 ==> 1
% 27.62/28.05 2 ==> 2
% 27.62/28.05 3 ==> 3
% 27.62/28.05 end
% 27.62/28.05
% 27.62/28.05 subsumption: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 27.62/28.05 X ), aNaturalNumber0( Z ) }.
% 27.62/28.05 parent0: (42678) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 27.62/28.05 X ), aNaturalNumber0( Z ) }.
% 27.62/28.05 substitution0:
% 27.62/28.05 X := X
% 27.62/28.05 Y := Y
% 27.62/28.05 Z := Z
% 27.62/28.05 end
% 27.62/28.05 permutation0:
% 27.62/28.05 0 ==> 0
% 27.62/28.05 1 ==> 1
% 27.62/28.05 2 ==> 2
% 27.62/28.05 3 ==> 3
% 27.62/28.05 4 ==> 4
% 27.62/28.05 5 ==> 5
% 27.62/28.05 end
% 27.62/28.05
% 27.62/28.05 subsumption: (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 27.62/28.05 X ), Y = sdtasdt0( X, Z ) }.
% 27.62/28.05 parent0: (42679) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 27.62/28.05 X ), Y = sdtasdt0( X, Z ) }.
% 27.62/28.05 substitution0:
% 27.62/28.05 X := X
% 27.62/28.05 Y := Y
% 27.62/28.05 Z := Z
% 27.62/28.05 end
% 27.62/28.05 permutation0:
% 27.62/28.05 0 ==> 0
% 27.62/28.05 1 ==> 1
% 27.62/28.05 2 ==> 2
% 27.62/28.05 3 ==> 3
% 27.62/28.05 4 ==> 4
% 27.62/28.05 5 ==> 5
% 27.62/28.05 end
% 27.62/28.05
% 27.62/28.05 subsumption: (57) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 27.62/28.05 Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 27.62/28.05 parent0: (42680) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 27.62/28.05 Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 27.62/28.05 substitution0:
% 27.62/28.05 X := X
% 27.62/28.05 Y := Y
% 27.62/28.05 Z := Z
% 27.62/28.05 end
% 27.62/28.05 permutation0:
% 27.62/28.05 0 ==> 0
% 27.62/28.05 1 ==> 1
% 27.62/28.05 2 ==> 2
% 27.62/28.05 3 ==> 3
% 27.62/28.05 4 ==> 4
% 27.62/28.05 5 ==> 5
% 27.62/28.05 6 ==> 6
% 27.62/28.05 end
% 27.62/28.05
% 27.62/28.05 eqswap: (44414) {G0,W23,D4,L6,V3,M6} { sdtsldt0( sdtasdt0( X, Y ), Z ) =
% 27.62/28.05 sdtasdt0( X, sdtsldt0( Y, Z ) ), ! aNaturalNumber0( Z ), !
% 27.62/28.05 aNaturalNumber0( Y ), Z = sz00, ! doDivides0( Z, Y ), ! aNaturalNumber0(
% 27.62/28.05 X ) }.
% 27.62/28.05 parent0[5]: (42685) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 27.62/28.05 Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X )
% 27.62/28.05 }.
% 27.62/28.05 substitution0:
% 27.62/28.05 X := Z
% 27.62/28.05 Y := Y
% 27.62/28.05 Z := X
% 27.62/28.05 end
% 27.62/28.05
% 27.62/28.05 subsumption: (62) {G0,W23,D4,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 27.62/28.05 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 27.62/28.05 Z ), sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) )
% 27.62/28.05 }.
% 27.62/28.05 parent0: (44414) {G0,W23,D4,L6,V3,M6} { sdtsldt0( sdtasdt0( X, Y ), Z ) =
% 27.62/28.05 sdtasdt0( X, sdtsldt0( Y, Z ) ), ! aNaturalNumber0( Z ), !
% 27.62/28.05 aNaturalNumber0( Y ), Z = sz00, ! doDivides0( Z, Y ), ! aNaturalNumber0(
% 27.62/28.05 X ) }.
% 27.62/28.05 substitution0:
% 27.62/28.05 X := Z
% 27.62/28.05 Y := Y
% 27.62/28.05 Z := X
% 27.62/28.05 end
% 27.62/28.05 permutation0:
% 27.62/28.05 0 ==> 5
% 27.62/28.07 1 ==> 0
% 27.62/28.07 2 ==> 1
% 27.62/28.07 3 ==> 2
% 27.62/28.07 4 ==> 3
% 27.62/28.07 5 ==> 4
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y = X
% 27.62/28.07 }.
% 27.62/28.07 parent0: (42695) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X
% 27.62/28.07 }.
% 27.62/28.07 substitution0:
% 27.62/28.07 X := X
% 27.62/28.07 Y := Y
% 27.62/28.07 end
% 27.62/28.07 permutation0:
% 27.62/28.07 0 ==> 0
% 27.62/28.07 1 ==> 1
% 27.62/28.07 2 ==> 2
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 27.62/28.07 parent0: (42696) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 27.62/28.07 substitution0:
% 27.62/28.07 X := X
% 27.62/28.07 Y := Y
% 27.62/28.07 end
% 27.62/28.07 permutation0:
% 27.62/28.07 0 ==> 0
% 27.62/28.07 1 ==> 1
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (74) {G0,W6,D2,L2,V2,M2} I { ! Y = X, alpha4( X, Y ) }.
% 27.62/28.07 parent0: (42697) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 27.62/28.07 substitution0:
% 27.62/28.07 X := X
% 27.62/28.07 Y := Y
% 27.62/28.07 end
% 27.62/28.07 permutation0:
% 27.62/28.07 0 ==> 0
% 27.62/28.07 1 ==> 1
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.62/28.07 parent0: (42705) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 27.62/28.07 substitution0:
% 27.62/28.07 end
% 27.62/28.07 permutation0:
% 27.62/28.07 0 ==> 0
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.62/28.07 parent0: (42706) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 27.62/28.07 substitution0:
% 27.62/28.07 end
% 27.62/28.07 permutation0:
% 27.62/28.07 0 ==> 0
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 27.62/28.07 parent0: (42707) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 27.62/28.07 substitution0:
% 27.62/28.07 end
% 27.62/28.07 permutation0:
% 27.62/28.07 0 ==> 0
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (87) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 27.62/28.07 parent0: (42710) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 27.62/28.07 substitution0:
% 27.62/28.07 end
% 27.62/28.07 permutation0:
% 27.62/28.07 0 ==> 0
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (89) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm )
% 27.62/28.07 ) ==> sdtasdt0( xn, xn ) }.
% 27.62/28.07 parent0: (42712) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) )
% 27.62/28.07 = sdtasdt0( xn, xn ) }.
% 27.62/28.07 substitution0:
% 27.62/28.07 end
% 27.62/28.07 permutation0:
% 27.62/28.07 0 ==> 0
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (91) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xn
% 27.62/28.07 ) ) }.
% 27.62/28.07 parent0: (42714) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xn )
% 27.62/28.07 ) }.
% 27.62/28.07 substitution0:
% 27.62/28.07 end
% 27.62/28.07 permutation0:
% 27.62/28.07 0 ==> 0
% 27.62/28.07 end
% 27.62/28.07
% 27.62/28.07 subsumption: (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 27.62/28.07 parent0: (42715) {G0,W3,D2,L1,V0,M1} { doDivides0( xp, xn ) }.
% 27.62/28.08 substitution0:
% 27.62/28.08 end
% 27.62/28.08 permutation0:
% 27.62/28.08 0 ==> 0
% 27.62/28.08 end
% 27.62/28.08
% 27.62/28.08 eqswap: (49457) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xn, xp ) = xq }.
% 27.62/28.08 parent0[0]: (42716) {G0,W5,D3,L1,V0,M1} { xq = sdtsldt0( xn, xp ) }.
% 27.62/28.08 substitution0:
% 27.62/28.08 end
% 27.62/28.08
% 27.62/28.08 subsumption: (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 27.62/28.08 parent0: (49457) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xn, xp ) = xq }.
% 27.62/28.08 substitution0:
% 27.62/28.08 end
% 27.62/28.08 permutation0:
% 27.62/28.08 0 ==> 0
% 27.62/28.08 end
% 27.62/28.08
% 27.62/28.08 eqswap: (49981) {G0,W9,D4,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xq, xq ) )
% 27.62/28.08 = sdtasdt0( xm, xm ) }.
% 27.62/28.08 parent0[0]: (42717) {G0,W9,D4,L1,V0,M1} { ! sdtasdt0( xm, xm ) = sdtasdt0
% 27.62/28.08 ( xp, sdtasdt0( xq, xq ) ) }.
% 27.62/28.08 substitution0:
% 27.62/28.08 end
% 27.62/28.08
% 27.62/28.08 subsumption: (94) {G0,W9,D4,L1,V0,M1} I { ! sdtasdt0( xp, sdtasdt0( xq, xq
% 27.62/28.08 ) ) ==> sdtasdt0( xm, xm ) }.
% 27.62/28.08 parent0: (49981) {G0,W9,D4,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xq, xq )
% 27.62/28.08 ) = sdtasdt0( xm, xm ) }.
% 27.62/28.08 substitution0:
% 27.62/28.08 end
% 27.62/28.08 permutation0:
% 27.62/28.08 0 ==> 0
% 27.62/28.08 end
% 27.62/28.08
% 27.62/28.08 factor: (49985) {G0,W6,D2,L2,V1,M2} { ! alpha4( sz10, X ), X = sz10 }.
% 27.62/28.08 parent0[1, 2]: (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y =
% 27.62/28.08 X }.
% 27.62/28.08 substitution0:
% 27.62/28.08 X := sz10
% 27.62/28.08 Y := X
% 27.62/28.08 end
% 27.62/28.08
% 27.62/28.08 subsumption: (225) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X =
% 27.62/28.08 sz10 }.
% 27.62/28.08 parent0: (49985) {G0,W6,D2,L2,V1,M2} { ! alpha4( sz10, X ), X = sz10 }.
% 27.62/28.08 substitution0:
% 27.62/28.08 X := X
% 27.62/28.08 end
% 27.62/28.08 permutation0:
% 27.62/28.08 0 ==> 0
% 27.62/28.08 1 ==> 1
% 27.62/28.08 end
% 27.62/28.08
% 27.62/28.08 resolution: (49987) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 27.62/28.08 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 27.62/28.08 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.62/28.08 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.62/28.08 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.62/28.08 substitution0:
% 27.62/28.08 X := xn
% 27.62/28.08 Y := X
% 27.62/28.08 end
% 27.62/28.08 substitution1:
% 27.62/28.08 end
% 27.62/28.08
% 27.62/28.08 subsumption: (251) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 27.62/28.08 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 27.62/28.08 parent0: (49987) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 27.62/28.08 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 27.62/28.08 substitution0:
% 27.62/28.08 X := X
% 27.62/28.08 end
% 27.62/28.08 permutation0:
% 27.62/28.08 0 ==> 0
% 27.62/28.08 1 ==> 1
% 27.62/28.08 end
% 27.62/28.08
% 27.62/28.08 resolution: (49989) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 31.25/31.66 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 31.25/31.66 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 31.25/31.66 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := xm
% 31.25/31.66 Y := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (253) {G1,W6,D3,L2,V1,M2} R(5,83) { ! aNaturalNumber0( X ),
% 31.25/31.66 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 31.25/31.66 parent0: (49989) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 31.25/31.66 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 1 ==> 1
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 *** allocated 15000 integers for justifications
% 31.25/31.66 *** allocated 22500 integers for justifications
% 31.25/31.66 *** allocated 33750 integers for justifications
% 31.25/31.66 *** allocated 50625 integers for justifications
% 31.25/31.66 eqswap: (49991) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X ) }.
% 31.25/31.66 parent0[1]: (225) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (49992) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> sz10 }.
% 31.25/31.66 parent0[0]: (3) {G0,W3,D2,L1,V0,M1} I { ! sz10 ==> sz00 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 paramod: (49993) {G1,W6,D2,L2,V1,M2} { ! sz00 ==> X, ! alpha4( sz10, X )
% 31.25/31.66 }.
% 31.25/31.66 parent0[0]: (49991) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X )
% 31.25/31.66 }.
% 31.25/31.66 parent1[0; 3]: (49992) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> sz10 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (50014) {G1,W6,D2,L2,V1,M2} { ! X ==> sz00, ! alpha4( sz10, X )
% 31.25/31.66 }.
% 31.25/31.66 parent0[0]: (49993) {G1,W6,D2,L2,V1,M2} { ! sz00 ==> X, ! alpha4( sz10, X
% 31.25/31.66 ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (396) {G2,W6,D2,L2,V1,M2} P(225,3) { ! X = sz00, ! alpha4(
% 31.25/31.66 sz10, X ) }.
% 31.25/31.66 parent0: (50014) {G1,W6,D2,L2,V1,M2} { ! X ==> sz00, ! alpha4( sz10, X )
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 1 ==> 1
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (50901) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X ) }.
% 31.25/31.66 parent0[1]: (225) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 paramod: (50902) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! alpha4(
% 31.25/31.66 sz10, X ) }.
% 31.25/31.66 parent0[0]: (50901) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X )
% 31.25/31.66 }.
% 31.25/31.66 parent1[0; 1]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (397) {G2,W5,D2,L2,V1,M2} P(225,2) { aNaturalNumber0( X ), !
% 31.25/31.66 alpha4( sz10, X ) }.
% 31.25/31.66 parent0: (50902) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! alpha4(
% 31.25/31.66 sz10, X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 1 ==> 1
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51356) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ), Z ) ==>
% 31.25/31.66 sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 31.25/31.66 parent0[3]: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 31.25/31.66 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 Y := Y
% 31.25/31.66 Z := Z
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51357) {G1,W15,D4,L3,V2,M3} { sdtasdt0( sdtasdt0( xp, X ), Y
% 31.25/31.66 ) ==> sdtasdt0( xp, sdtasdt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ) }.
% 31.25/31.66 parent0[1]: (51356) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ), Z )
% 31.25/31.66 ==> sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 31.25/31.66 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := xp
% 31.25/31.66 Y := X
% 31.25/31.66 Z := Y
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51362) {G1,W15,D4,L3,V2,M3} { sdtasdt0( xp, sdtasdt0( X, Y ) )
% 31.25/31.66 ==> sdtasdt0( sdtasdt0( xp, X ), Y ), ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ) }.
% 31.25/31.66 parent0[0]: (51357) {G1,W15,D4,L3,V2,M3} { sdtasdt0( sdtasdt0( xp, X ), Y
% 31.25/31.66 ) ==> sdtasdt0( xp, sdtasdt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 Y := Y
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (417) {G1,W15,D4,L3,V2,M3} R(11,84) { ! aNaturalNumber0( X ),
% 31.25/31.66 ! aNaturalNumber0( Y ), sdtasdt0( xp, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 31.25/31.66 sdtasdt0( xp, X ), Y ) }.
% 31.25/31.66 parent0: (51362) {G1,W15,D4,L3,V2,M3} { sdtasdt0( xp, sdtasdt0( X, Y ) )
% 31.25/31.66 ==> sdtasdt0( sdtasdt0( xp, X ), Y ), ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 Y := Y
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 2
% 31.25/31.66 1 ==> 0
% 31.25/31.66 2 ==> 1
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 factor: (51370) {G1,W13,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0(
% 31.25/31.66 xp, sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 31.25/31.66 parent0[0, 1]: (417) {G1,W15,D4,L3,V2,M3} R(11,84) { ! aNaturalNumber0( X )
% 31.25/31.66 , ! aNaturalNumber0( Y ), sdtasdt0( xp, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 31.25/31.66 sdtasdt0( xp, X ), Y ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 Y := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (423) {G2,W13,D4,L2,V1,M2} F(417) { ! aNaturalNumber0( X ),
% 31.25/31.66 sdtasdt0( xp, sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 31.25/31.66 parent0: (51370) {G1,W13,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0(
% 31.25/31.66 xp, sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 1 ==> 1
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51372) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 31.25/31.66 parent0[0]: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := Y
% 31.25/31.66 Y := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51373) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! sz10 = X
% 31.25/31.66 }.
% 31.25/31.66 parent0[1]: (397) {G2,W5,D2,L2,V1,M2} P(225,2) { aNaturalNumber0( X ), !
% 31.25/31.66 alpha4( sz10, X ) }.
% 31.25/31.66 parent1[1]: (51372) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 X := X
% 31.25/31.66 Y := sz10
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51374) {G1,W5,D2,L2,V1,M2} { ! X = sz10, aNaturalNumber0( X ) }.
% 31.25/31.66 parent0[1]: (51373) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! sz10 = X
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (434) {G3,W5,D2,L2,V1,M2} R(397,73) { aNaturalNumber0( X ), !
% 31.25/31.66 X = sz10 }.
% 31.25/31.66 parent0: (51374) {G1,W5,D2,L2,V1,M2} { ! X = sz10, aNaturalNumber0( X )
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 1
% 31.25/31.66 1 ==> 0
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51375) {G2,W6,D2,L2,V1,M2} { ! sz00 = X, ! alpha4( sz10, X ) }.
% 31.25/31.66 parent0[0]: (396) {G2,W6,D2,L2,V1,M2} P(225,3) { ! X = sz00, ! alpha4( sz10
% 31.25/31.66 , X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51376) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 31.25/31.66 parent0[0]: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := Y
% 31.25/31.66 Y := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51377) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, ! sz10 = X }.
% 31.25/31.66 parent0[1]: (51375) {G2,W6,D2,L2,V1,M2} { ! sz00 = X, ! alpha4( sz10, X )
% 31.25/31.66 }.
% 31.25/31.66 parent1[1]: (51376) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 X := X
% 31.25/31.66 Y := sz10
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51379) {G1,W6,D2,L2,V1,M2} { ! X = sz10, ! sz00 = X }.
% 31.25/31.66 parent0[1]: (51377) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, ! sz10 = X }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51380) {G1,W6,D2,L2,V1,M2} { ! X = sz00, ! X = sz10 }.
% 31.25/31.66 parent0[1]: (51379) {G1,W6,D2,L2,V1,M2} { ! X = sz10, ! sz00 = X }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (586) {G3,W6,D2,L2,V1,M2} R(396,73) { ! X = sz00, ! X = sz10
% 31.25/31.66 }.
% 31.25/31.66 parent0: (51380) {G1,W6,D2,L2,V1,M2} { ! X = sz00, ! X = sz10 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 1 ==> 1
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51381) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn,
% 31.25/31.66 xn ) ) }.
% 31.25/31.66 parent0[0]: (251) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 31.25/31.66 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 31.25/31.66 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := xn
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (1463) {G2,W4,D3,L1,V0,M1} R(251,82) { aNaturalNumber0(
% 31.25/31.66 sdtasdt0( xn, xn ) ) }.
% 31.25/31.66 parent0: (51381) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn, xn )
% 31.25/31.66 ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51382) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 31.25/31.66 xm ) ) }.
% 31.25/31.66 parent0[0]: (253) {G1,W6,D3,L2,V1,M2} R(5,83) { ! aNaturalNumber0( X ),
% 31.25/31.66 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 31.25/31.66 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := xm
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (1674) {G2,W4,D3,L1,V0,M1} R(253,83) { aNaturalNumber0(
% 31.25/31.66 sdtasdt0( xm, xm ) ) }.
% 31.25/31.66 parent0: (51382) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm, xm )
% 31.25/31.66 ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51390) {G3,W5,D2,L2,V1,M2} { ! sz10 = X, aNaturalNumber0( X ) }.
% 31.25/31.66 parent0[1]: (434) {G3,W5,D2,L2,V1,M2} R(397,73) { aNaturalNumber0( X ), ! X
% 31.25/31.66 = sz10 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51392) {G3,W6,D2,L2,V1,M2} { ! sz10 = X, ! X = sz00 }.
% 31.25/31.66 parent0[1]: (586) {G3,W6,D2,L2,V1,M2} R(396,73) { ! X = sz00, ! X = sz10
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51394) {G1,W12,D2,L4,V1,M4} { X = sz00, X = sz10, ! sz10 = X
% 31.25/31.66 , ! sz10 = X }.
% 31.25/31.66 parent0[0]: (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 31.25/31.66 , X = sz10, ! sz10 = X }.
% 31.25/31.66 parent1[1]: (51390) {G3,W5,D2,L2,V1,M2} { ! sz10 = X, aNaturalNumber0( X )
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 factor: (51395) {G1,W9,D2,L3,V1,M3} { X = sz00, X = sz10, ! sz10 = X }.
% 31.25/31.66 parent0[2, 3]: (51394) {G1,W12,D2,L4,V1,M4} { X = sz00, X = sz10, ! sz10 =
% 31.25/31.66 X, ! sz10 = X }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51404) {G2,W9,D2,L3,V1,M3} { ! sz10 = X, X = sz10, ! sz10 = X
% 31.25/31.66 }.
% 31.25/31.66 parent0[1]: (51392) {G3,W6,D2,L2,V1,M2} { ! sz10 = X, ! X = sz00 }.
% 31.25/31.66 parent1[0]: (51395) {G1,W9,D2,L3,V1,M3} { X = sz00, X = sz10, ! sz10 = X
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 factor: (51407) {G2,W6,D2,L2,V1,M2} { ! sz10 = X, X = sz10 }.
% 31.25/31.66 parent0[0, 2]: (51404) {G2,W9,D2,L3,V1,M3} { ! sz10 = X, X = sz10, ! sz10
% 31.25/31.66 = X }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (5596) {G4,W6,D2,L2,V1,M2} S(48);r(434);r(586) { X = sz10, !
% 31.25/31.66 sz10 = X }.
% 31.25/31.66 parent0: (51407) {G2,W6,D2,L2,V1,M2} { ! sz10 = X, X = sz10 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 1
% 31.25/31.66 1 ==> 0
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51408) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 31.25/31.66 aNaturalNumber0( Z ) }.
% 31.25/31.66 parent0[2]: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 31.25/31.66 X ), aNaturalNumber0( Z ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 Y := Y
% 31.25/31.66 Z := Z
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51412) {G1,W14,D3,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0(
% 31.25/31.66 xp ), ! aNaturalNumber0( xn ), ! X = sdtsldt0( xn, xp ), aNaturalNumber0
% 31.25/31.66 ( X ) }.
% 31.25/31.66 parent0[3]: (51408) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 31.25/31.66 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 31.25/31.66 , aNaturalNumber0( Z ) }.
% 31.25/31.66 parent1[0]: (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := xp
% 31.25/31.66 Y := xn
% 31.25/31.66 Z := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 paramod: (51413) {G1,W12,D2,L5,V1,M5} { ! X = xq, sz00 = xp, !
% 31.25/31.66 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 31.25/31.66 parent0[0]: (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 31.25/31.66 parent1[3; 3]: (51412) {G1,W14,D3,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0
% 31.25/31.66 ( xp ), ! aNaturalNumber0( xn ), ! X = sdtsldt0( xn, xp ),
% 31.25/31.66 aNaturalNumber0( X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51414) {G1,W10,D2,L4,V1,M4} { ! X = xq, sz00 = xp, !
% 31.25/31.66 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 31.25/31.66 parent0[2]: (51413) {G1,W12,D2,L5,V1,M5} { ! X = xq, sz00 = xp, !
% 31.25/31.66 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 31.25/31.66 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51416) {G1,W10,D2,L4,V1,M4} { xp = sz00, ! X = xq, !
% 31.25/31.66 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 31.25/31.66 parent0[1]: (51414) {G1,W10,D2,L4,V1,M4} { ! X = xq, sz00 = xp, !
% 31.25/31.66 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (7416) {G1,W10,D2,L4,V1,M4} R(55,92);d(93);r(84) { !
% 31.25/31.66 aNaturalNumber0( xn ), xp ==> sz00, aNaturalNumber0( X ), ! X = xq }.
% 31.25/31.66 parent0: (51416) {G1,W10,D2,L4,V1,M4} { xp = sz00, ! X = xq, !
% 31.25/31.66 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 1
% 31.25/31.66 1 ==> 3
% 31.25/31.66 2 ==> 0
% 31.25/31.66 3 ==> 2
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51418) {G1,W10,D2,L4,V1,M4} { sz00 ==> xp, ! aNaturalNumber0( xn
% 31.25/31.66 ), aNaturalNumber0( X ), ! X = xq }.
% 31.25/31.66 parent0[1]: (7416) {G1,W10,D2,L4,V1,M4} R(55,92);d(93);r(84) { !
% 31.25/31.66 aNaturalNumber0( xn ), xp ==> sz00, aNaturalNumber0( X ), ! X = xq }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqrefl: (51421) {G0,W7,D2,L3,V0,M3} { sz00 ==> xp, ! aNaturalNumber0( xn )
% 31.25/31.66 , aNaturalNumber0( xq ) }.
% 31.25/31.66 parent0[3]: (51418) {G1,W10,D2,L4,V1,M4} { sz00 ==> xp, ! aNaturalNumber0
% 31.25/31.66 ( xn ), aNaturalNumber0( X ), ! X = xq }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := xq
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51422) {G1,W5,D2,L2,V0,M2} { sz00 ==> xp, aNaturalNumber0( xq
% 31.25/31.66 ) }.
% 31.25/31.66 parent0[1]: (51421) {G0,W7,D2,L3,V0,M3} { sz00 ==> xp, ! aNaturalNumber0(
% 31.25/31.66 xn ), aNaturalNumber0( xq ) }.
% 31.25/31.66 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51423) {G1,W5,D2,L2,V0,M2} { xp ==> sz00, aNaturalNumber0( xq )
% 31.25/31.66 }.
% 31.25/31.66 parent0[0]: (51422) {G1,W5,D2,L2,V0,M2} { sz00 ==> xp, aNaturalNumber0( xq
% 31.25/31.66 ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (7509) {G2,W5,D2,L2,V0,M2} Q(7416);r(82) { xp ==> sz00,
% 31.25/31.66 aNaturalNumber0( xq ) }.
% 31.25/31.66 parent0: (51423) {G1,W5,D2,L2,V0,M2} { xp ==> sz00, aNaturalNumber0( xq )
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 1 ==> 1
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51424) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y =
% 31.25/31.66 sdtasdt0( X, Z ) }.
% 31.25/31.66 parent0[2]: (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 31.25/31.66 X ), Y = sdtasdt0( X, Z ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 Y := Y
% 31.25/31.66 Z := Z
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51432) {G1,W17,D3,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0(
% 31.25/31.66 xp ), ! aNaturalNumber0( xn ), ! X = sdtsldt0( xn, xp ), xn = sdtasdt0(
% 31.25/31.66 xp, X ) }.
% 31.25/31.66 parent0[3]: (51424) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 31.25/31.66 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 31.25/31.66 , Y = sdtasdt0( X, Z ) }.
% 31.25/31.66 parent1[0]: (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := xp
% 31.25/31.66 Y := xn
% 31.25/31.66 Z := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 paramod: (51433) {G1,W15,D3,L5,V1,M5} { ! X = xq, sz00 = xp, !
% 31.25/31.66 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), xn = sdtasdt0( xp, X )
% 31.25/31.66 }.
% 31.25/31.66 parent0[0]: (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 31.25/31.66 parent1[3; 3]: (51432) {G1,W17,D3,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0
% 31.25/31.66 ( xp ), ! aNaturalNumber0( xn ), ! X = sdtsldt0( xn, xp ), xn = sdtasdt0
% 31.25/31.66 ( xp, X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51434) {G1,W13,D3,L4,V1,M4} { ! X = xq, sz00 = xp, !
% 31.25/31.66 aNaturalNumber0( xn ), xn = sdtasdt0( xp, X ) }.
% 31.25/31.66 parent0[2]: (51433) {G1,W15,D3,L5,V1,M5} { ! X = xq, sz00 = xp, !
% 31.25/31.66 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), xn = sdtasdt0( xp, X )
% 31.25/31.66 }.
% 31.25/31.66 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51437) {G1,W13,D3,L4,V1,M4} { sdtasdt0( xp, X ) = xn, ! X = xq,
% 31.25/31.66 sz00 = xp, ! aNaturalNumber0( xn ) }.
% 31.25/31.66 parent0[3]: (51434) {G1,W13,D3,L4,V1,M4} { ! X = xq, sz00 = xp, !
% 31.25/31.66 aNaturalNumber0( xn ), xn = sdtasdt0( xp, X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51439) {G1,W13,D3,L4,V1,M4} { xp = sz00, sdtasdt0( xp, X ) = xn,
% 31.25/31.66 ! X = xq, ! aNaturalNumber0( xn ) }.
% 31.25/31.66 parent0[2]: (51437) {G1,W13,D3,L4,V1,M4} { sdtasdt0( xp, X ) = xn, ! X =
% 31.25/31.66 xq, sz00 = xp, ! aNaturalNumber0( xn ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (7674) {G1,W13,D3,L4,V1,M4} R(56,92);d(93);r(84) { !
% 31.25/31.66 aNaturalNumber0( xn ), xp ==> sz00, sdtasdt0( xp, X ) ==> xn, ! X = xq
% 31.25/31.66 }.
% 31.25/31.66 parent0: (51439) {G1,W13,D3,L4,V1,M4} { xp = sz00, sdtasdt0( xp, X ) = xn
% 31.25/31.66 , ! X = xq, ! aNaturalNumber0( xn ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 1
% 31.25/31.66 1 ==> 2
% 31.25/31.66 2 ==> 3
% 31.25/31.66 3 ==> 0
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51442) {G1,W13,D3,L4,V1,M4} { sz00 ==> xp, ! aNaturalNumber0( xn
% 31.25/31.66 ), sdtasdt0( xp, X ) ==> xn, ! X = xq }.
% 31.25/31.66 parent0[1]: (7674) {G1,W13,D3,L4,V1,M4} R(56,92);d(93);r(84) { !
% 31.25/31.66 aNaturalNumber0( xn ), xp ==> sz00, sdtasdt0( xp, X ) ==> xn, ! X = xq
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqrefl: (51449) {G0,W10,D3,L3,V0,M3} { sz00 ==> xp, ! aNaturalNumber0( xn
% 31.25/31.66 ), sdtasdt0( xp, xq ) ==> xn }.
% 31.25/31.66 parent0[3]: (51442) {G1,W13,D3,L4,V1,M4} { sz00 ==> xp, ! aNaturalNumber0
% 31.25/31.66 ( xn ), sdtasdt0( xp, X ) ==> xn, ! X = xq }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := xq
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51450) {G1,W8,D3,L2,V0,M2} { sz00 ==> xp, sdtasdt0( xp, xq )
% 31.25/31.66 ==> xn }.
% 31.25/31.66 parent0[1]: (51449) {G0,W10,D3,L3,V0,M3} { sz00 ==> xp, ! aNaturalNumber0
% 31.25/31.66 ( xn ), sdtasdt0( xp, xq ) ==> xn }.
% 31.25/31.66 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51451) {G1,W8,D3,L2,V0,M2} { xp ==> sz00, sdtasdt0( xp, xq ) ==>
% 31.25/31.66 xn }.
% 31.25/31.66 parent0[0]: (51450) {G1,W8,D3,L2,V0,M2} { sz00 ==> xp, sdtasdt0( xp, xq )
% 31.25/31.66 ==> xn }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (7893) {G2,W8,D3,L2,V0,M2} Q(7674);r(82) { xp ==> sz00,
% 31.25/31.66 sdtasdt0( xp, xq ) ==> xn }.
% 31.25/31.66 parent0: (51451) {G1,W8,D3,L2,V0,M2} { xp ==> sz00, sdtasdt0( xp, xq ) ==>
% 31.25/31.66 xn }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 1 ==> 1
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51456) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xq ) }.
% 31.25/31.66 parent0[0]: (87) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 31.25/31.66 parent1[0]: (7509) {G2,W5,D2,L2,V0,M2} Q(7416);r(82) { xp ==> sz00,
% 31.25/31.66 aNaturalNumber0( xq ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (8369) {G3,W2,D2,L1,V0,M1} S(7509);r(87) { aNaturalNumber0( xq
% 31.25/31.66 ) }.
% 31.25/31.66 parent0: (51456) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xq ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 permutation0:
% 31.25/31.66 0 ==> 0
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51457) {G0,W23,D4,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! aNaturalNumber0( Z ),
% 31.25/31.66 sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) ) }.
% 31.25/31.66 parent0[2]: (62) {G0,W23,D4,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 31.25/31.66 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 31.25/31.66 Z ), sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) )
% 31.25/31.66 }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 Y := Y
% 31.25/31.66 Z := Z
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51461) {G1,W20,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0(
% 31.25/31.66 xp ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( X ), sdtsldt0( sdtasdt0
% 31.25/31.66 ( X, xn ), xp ) ==> sdtasdt0( X, sdtsldt0( xn, xp ) ) }.
% 31.25/31.66 parent0[3]: (51457) {G0,W23,D4,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 31.25/31.66 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! aNaturalNumber0( Z )
% 31.25/31.66 , sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) ) }.
% 31.25/31.66 parent1[0]: (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := xp
% 31.25/31.66 Y := xn
% 31.25/31.66 Z := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 paramod: (51474) {G1,W18,D4,L5,V1,M5} { sdtsldt0( sdtasdt0( X, xn ), xp )
% 31.25/31.66 ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xp ), !
% 31.25/31.66 aNaturalNumber0( xn ), ! aNaturalNumber0( X ) }.
% 31.25/31.66 parent0[0]: (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 31.25/31.66 parent1[4; 8]: (51461) {G1,W20,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0
% 31.25/31.66 ( xp ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( X ), sdtsldt0(
% 31.25/31.66 sdtasdt0( X, xn ), xp ) ==> sdtasdt0( X, sdtsldt0( xn, xp ) ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 resolution: (51485) {G1,W16,D4,L4,V1,M4} { sdtsldt0( sdtasdt0( X, xn ), xp
% 31.25/31.66 ) ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xn ), !
% 31.25/31.66 aNaturalNumber0( X ) }.
% 31.25/31.66 parent0[2]: (51474) {G1,W18,D4,L5,V1,M5} { sdtsldt0( sdtasdt0( X, xn ), xp
% 31.25/31.66 ) ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xp ), !
% 31.25/31.66 aNaturalNumber0( xn ), ! aNaturalNumber0( X ) }.
% 31.25/31.66 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66 substitution1:
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 eqswap: (51487) {G1,W16,D4,L4,V1,M4} { xp = sz00, sdtsldt0( sdtasdt0( X,
% 31.25/31.66 xn ), xp ) ==> sdtasdt0( X, xq ), ! aNaturalNumber0( xn ), !
% 31.25/31.66 aNaturalNumber0( X ) }.
% 31.25/31.66 parent0[1]: (51485) {G1,W16,D4,L4,V1,M4} { sdtsldt0( sdtasdt0( X, xn ), xp
% 31.25/31.66 ) ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xn ), !
% 31.25/31.66 aNaturalNumber0( X ) }.
% 31.25/31.66 substitution0:
% 31.25/31.66 X := X
% 31.25/31.66 end
% 31.25/31.66
% 31.25/31.66 subsumption: (9121) {G1,W16,D4,L4,V1,M4} R(62,92);d(93);r(84) { !
% 31.25/31.66 aNaturalNumber0( xn ), xp ==> sz00, ! aNaturalNumber0( X ), sdtsldt0(
% 31.25/31.66 sdtasdt0( X, xn ), xp ) ==> sdtasdt0( X, xq ) }.
% 31.25/31.66 parent0: (51487) {G1,W16,D4,L4,V1,M4} { xp = sz00, sdtsldt0( sdtasdt0( X,
% 31.25/31.66 xn ), xp ) ==> sdtasdt0( X, xq ), ! aNaturalNumber0( xn ), !
% 31.25/31.66 aNaturalNumbCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------