TSTP Solution File: NUM525+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM525+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 06:23:14 EDT 2022
% Result : Theorem 26.99s 27.39s
% Output : Refutation 26.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM525+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.32 % Computer : n023.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % DateTime : Thu Jul 7 15:17:11 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10
% 0.70/1.10 { && }.
% 0.70/1.10 { aNaturalNumber0( sz00 ) }.
% 0.70/1.10 { aNaturalNumber0( sz10 ) }.
% 0.70/1.10 { ! sz10 = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.70/1.10 ( X, Y ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.70/1.10 ( X, Y ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.70/1.10 sdtpldt0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.70/1.10 sdtasdt0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.70/1.10 , Z ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.70/1.10 , X ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.70/1.10 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.70/1.10 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.70/1.10 , X = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.70/1.10 , Y = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.70/1.10 , X = sz00, Y = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.70/1.10 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.70/1.10 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.70/1.10 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.70/1.10 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.70/1.10 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.70/1.10 sdtlseqdt0( Y, X ), X = Y }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.70/1.10 X }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.70/1.10 sdtlseqdt0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.10 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.10 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.70/1.10 ) ) }.
% 0.70/1.10 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.70/1.10 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.70/1.10 { ! 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 ) }.
% 26.99/27.39 { sdtasdt0( xp, sdtasdt0( xm, xm ) ) = sdtasdt0( xn, xn ) }.
% 26.99/27.39 { isPrime0( xp ) }.
% 26.99/27.39 { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 26.99/27.39 { doDivides0( xp, xn ) }.
% 26.99/27.39 { xq = sdtsldt0( xn, xp ) }.
% 26.99/27.39 { ! sdtasdt0( xp, sdtasdt0( xm, xm ) ) = sdtasdt0( xp, sdtasdt0( xp,
% 26.99/27.39 sdtasdt0( xq, xq ) ) ) }.
% 26.99/27.39
% 26.99/27.39 percentage equality = 0.293051, percentage horn = 0.705263
% 26.99/27.39 This is a problem with some equality
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Options Used:
% 26.99/27.39
% 26.99/27.39 useres = 1
% 26.99/27.39 useparamod = 1
% 26.99/27.39 useeqrefl = 1
% 26.99/27.39 useeqfact = 1
% 26.99/27.39 usefactor = 1
% 26.99/27.39 usesimpsplitting = 0
% 26.99/27.39 usesimpdemod = 5
% 26.99/27.39 usesimpres = 3
% 26.99/27.39
% 26.99/27.39 resimpinuse = 1000
% 26.99/27.39 resimpclauses = 20000
% 26.99/27.39 substype = eqrewr
% 26.99/27.39 backwardsubs = 1
% 26.99/27.39 selectoldest = 5
% 26.99/27.39
% 26.99/27.39 litorderings [0] = split
% 26.99/27.39 litorderings [1] = extend the termordering, first sorting on arguments
% 26.99/27.39
% 26.99/27.39 termordering = kbo
% 26.99/27.39
% 26.99/27.39 litapriori = 0
% 26.99/27.39 termapriori = 1
% 26.99/27.39 litaposteriori = 0
% 26.99/27.39 termaposteriori = 0
% 26.99/27.39 demodaposteriori = 0
% 26.99/27.39 ordereqreflfact = 0
% 26.99/27.39
% 26.99/27.39 litselect = negord
% 26.99/27.39
% 26.99/27.39 maxweight = 15
% 26.99/27.39 maxdepth = 30000
% 26.99/27.39 maxlength = 115
% 26.99/27.39 maxnrvars = 195
% 26.99/27.39 excuselevel = 1
% 26.99/27.39 increasemaxweight = 1
% 26.99/27.39
% 26.99/27.39 maxselected = 10000000
% 26.99/27.39 maxnrclauses = 10000000
% 26.99/27.39
% 26.99/27.39 showgenerated = 0
% 26.99/27.39 showkept = 0
% 26.99/27.39 showselected = 0
% 26.99/27.39 showdeleted = 0
% 26.99/27.39 showresimp = 1
% 26.99/27.39 showstatus = 2000
% 26.99/27.39
% 26.99/27.39 prologoutput = 0
% 26.99/27.39 nrgoals = 5000000
% 26.99/27.39 totalproof = 1
% 26.99/27.39
% 26.99/27.39 Symbols occurring in the translation:
% 26.99/27.39
% 26.99/27.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 26.99/27.39 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 26.99/27.39 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 26.99/27.39 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 26.99/27.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 26.99/27.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 26.99/27.39 aNaturalNumber0 [36, 1] (w:1, o:20, a:1, s:1, b:0),
% 26.99/27.39 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 26.99/27.39 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 26.99/27.39 sdtpldt0 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 26.99/27.39 sdtasdt0 [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 26.99/27.39 sdtlseqdt0 [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 26.99/27.39 sdtmndt0 [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 26.99/27.39 iLess0 [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 26.99/27.39 doDivides0 [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 26.99/27.39 sdtsldt0 [47, 2] (w:1, o:56, a:1, s:1, b:0),
% 26.99/27.39 isPrime0 [48, 1] (w:1, o:21, a:1, s:1, b:0),
% 26.99/27.39 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 26.99/27.39 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 26.99/27.39 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 26.99/27.39 xq [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 26.99/27.39 alpha1 [53, 1] (w:1, o:22, a:1, s:1, b:1),
% 26.99/27.39 alpha2 [54, 1] (w:1, o:23, a:1, s:1, b:1),
% 26.99/27.39 alpha3 [55, 2] (w:1, o:57, a:1, s:1, b:1),
% 26.99/27.39 alpha4 [56, 2] (w:1, o:58, a:1, s:1, b:1),
% 26.99/27.39 alpha5 [57, 3] (w:1, o:61, a:1, s:1, b:1),
% 26.99/27.39 alpha6 [58, 3] (w:1, o:62, a:1, s:1, b:1),
% 26.99/27.39 skol1 [59, 2] (w:1, o:59, a:1, s:1, b:1),
% 26.99/27.39 skol2 [60, 2] (w:1, o:60, a:1, s:1, b:1),
% 26.99/27.39 skol3 [61, 1] (w:1, o:24, a:1, s:1, b:1),
% 26.99/27.39 skol4 [62, 1] (w:1, o:25, a:1, s:1, b:1).
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Starting Search:
% 26.99/27.39
% 26.99/27.39 *** allocated 15000 integers for clauses
% 26.99/27.39 *** allocated 22500 integers for clauses
% 26.99/27.39 *** allocated 33750 integers for clauses
% 26.99/27.39 *** allocated 15000 integers for termspace/termends
% 26.99/27.39 *** allocated 50625 integers for clauses
% 26.99/27.39 *** allocated 22500 integers for termspace/termends
% 26.99/27.39 *** allocated 75937 integers for clauses
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 33750 integers for termspace/termends
% 26.99/27.39 *** allocated 113905 integers for clauses
% 26.99/27.39 *** allocated 50625 integers for termspace/termends
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 12310
% 26.99/27.39 Kept: 2056
% 26.99/27.39 Inuse: 133
% 26.99/27.39 Deleted: 7
% 26.99/27.39 Deletedinuse: 4
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 170857 integers for clauses
% 26.99/27.39 *** allocated 75937 integers for termspace/termends
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 256285 integers for clauses
% 26.99/27.39 *** allocated 113905 integers for termspace/termends
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 27639
% 26.99/27.39 Kept: 4105
% 26.99/27.39 Inuse: 191
% 26.99/27.39 Deleted: 10
% 26.99/27.39 Deletedinuse: 5
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 170857 integers for termspace/termends
% 26.99/27.39 *** allocated 384427 integers for clauses
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 51207
% 26.99/27.39 Kept: 6592
% 26.99/27.39 Inuse: 236
% 26.99/27.39 Deleted: 15
% 26.99/27.39 Deletedinuse: 5
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 256285 integers for termspace/termends
% 26.99/27.39 *** allocated 576640 integers for clauses
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 69970
% 26.99/27.39 Kept: 8617
% 26.99/27.39 Inuse: 274
% 26.99/27.39 Deleted: 20
% 26.99/27.39 Deletedinuse: 8
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 88352
% 26.99/27.39 Kept: 11273
% 26.99/27.39 Inuse: 320
% 26.99/27.39 Deleted: 25
% 26.99/27.39 Deletedinuse: 9
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 384427 integers for termspace/termends
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 864960 integers for clauses
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 107480
% 26.99/27.39 Kept: 13285
% 26.99/27.39 Inuse: 377
% 26.99/27.39 Deleted: 32
% 26.99/27.39 Deletedinuse: 16
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 124427
% 26.99/27.39 Kept: 15365
% 26.99/27.39 Inuse: 464
% 26.99/27.39 Deleted: 39
% 26.99/27.39 Deletedinuse: 17
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 149887
% 26.99/27.39 Kept: 17372
% 26.99/27.39 Inuse: 580
% 26.99/27.39 Deleted: 54
% 26.99/27.39 Deletedinuse: 19
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 1297440 integers for clauses
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 166367
% 26.99/27.39 Kept: 19393
% 26.99/27.39 Inuse: 607
% 26.99/27.39 Deleted: 60
% 26.99/27.39 Deletedinuse: 24
% 26.99/27.39
% 26.99/27.39 Resimplifying clauses:
% 26.99/27.39 *** allocated 576640 integers for termspace/termends
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 182693
% 26.99/27.39 Kept: 21649
% 26.99/27.39 Inuse: 635
% 26.99/27.39 Deleted: 5074
% 26.99/27.39 Deletedinuse: 24
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 206906
% 26.99/27.39 Kept: 23697
% 26.99/27.39 Inuse: 689
% 26.99/27.39 Deleted: 5088
% 26.99/27.39 Deletedinuse: 38
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 231708
% 26.99/27.39 Kept: 25812
% 26.99/27.39 Inuse: 746
% 26.99/27.39 Deleted: 5094
% 26.99/27.39 Deletedinuse: 41
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 244385
% 26.99/27.39 Kept: 27925
% 26.99/27.39 Inuse: 776
% 26.99/27.39 Deleted: 5094
% 26.99/27.39 Deletedinuse: 41
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 1946160 integers for clauses
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 258245
% 26.99/27.39 Kept: 30384
% 26.99/27.39 Inuse: 811
% 26.99/27.39 Deleted: 5094
% 26.99/27.39 Deletedinuse: 41
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 265906
% 26.99/27.39 Kept: 32820
% 26.99/27.39 Inuse: 826
% 26.99/27.39 Deleted: 5094
% 26.99/27.39 Deletedinuse: 41
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 274601
% 26.99/27.39 Kept: 34854
% 26.99/27.39 Inuse: 850
% 26.99/27.39 Deleted: 5094
% 26.99/27.39 Deletedinuse: 41
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 864960 integers for termspace/termends
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 291728
% 26.99/27.39 Kept: 36969
% 26.99/27.39 Inuse: 896
% 26.99/27.39 Deleted: 5094
% 26.99/27.39 Deletedinuse: 41
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 306093
% 26.99/27.39 Kept: 39100
% 26.99/27.39 Inuse: 936
% 26.99/27.39 Deleted: 5094
% 26.99/27.39 Deletedinuse: 41
% 26.99/27.39
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39 *** allocated 2919240 integers for clauses
% 26.99/27.39 Resimplifying inuse:
% 26.99/27.39 Done
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Intermediate Status:
% 26.99/27.39 Generated: 323680
% 26.99/27.39 Kept: 41122
% 26.99/27.39 Inuse: 983
% 26.99/27.39 Deleted: 5142
% 26.99/27.39 Deletedinuse: 89
% 26.99/27.39
% 26.99/27.39 Resimplifying clauses:
% 26.99/27.39
% 26.99/27.39 Bliksems!, er is een bewijs:
% 26.99/27.39 % SZS status Theorem
% 26.99/27.39 % SZS output start Refutation
% 26.99/27.39
% 26.99/27.39 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 26.99/27.39 (3) {G0,W3,D2,L1,V0,M1} I { ! sz10 ==> sz00 }.
% 26.99/27.39 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 26.99/27.39 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 26.99/27.39 (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.99/27.39 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 26.99/27.39 (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.99/27.39 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) ==> sdtasdt0
% 26.99/27.39 ( sdtasdt0( X, Y ), Z ) }.
% 26.99/27.39 (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 26.99/27.39 sz10 = X }.
% 26.99/27.39 (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.99/27.39 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 26.99/27.39 aNaturalNumber0( Z ) }.
% 26.99/27.39 (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.99/27.39 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 26.99/27.39 ( X, Z ) }.
% 26.99/27.39 (57) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.99/27.39 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 26.99/27.39 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 26.99/27.39 (62) {G0,W23,D4,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.99/27.39 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtsldt0(
% 26.99/27.39 sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) ) }.
% 26.99/27.39 (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 26.99/27.39 (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 26.99/27.39 (74) {G0,W6,D2,L2,V2,M2} I { ! Y = X, alpha4( X, Y ) }.
% 26.99/27.39 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 26.99/27.39 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 26.99/27.39 (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 26.99/27.39 (87) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 26.99/27.39 (89) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm ) ) ==>
% 26.99/27.39 sdtasdt0( xn, xn ) }.
% 26.99/27.39 (91) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 26.99/27.39 (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 26.99/27.39 (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 26.99/27.39 (94) {G1,W11,D5,L1,V0,M1} I;d(89) { ! sdtasdt0( xp, sdtasdt0( xp, sdtasdt0
% 26.99/27.39 ( xq, xq ) ) ) ==> sdtasdt0( xn, xn ) }.
% 26.99/27.39 (225) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10 }.
% 26.99/27.39 (251) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ), aNaturalNumber0
% 26.99/27.39 ( sdtasdt0( xn, X ) ) }.
% 26.99/27.39 (253) {G1,W6,D3,L2,V1,M2} R(5,83) { ! aNaturalNumber0( X ), aNaturalNumber0
% 26.99/27.39 ( sdtasdt0( xm, X ) ) }.
% 26.99/27.39 (396) {G2,W6,D2,L2,V1,M2} P(225,3) { ! X = sz00, ! alpha4( sz10, X ) }.
% 26.99/27.39 (397) {G2,W5,D2,L2,V1,M2} P(225,2) { aNaturalNumber0( X ), ! alpha4( sz10,
% 26.99/27.39 X ) }.
% 26.99/27.39 (417) {G1,W15,D4,L3,V2,M3} R(11,84) { ! aNaturalNumber0( X ), !
% 26.99/27.39 aNaturalNumber0( Y ), sdtasdt0( xp, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 26.99/27.39 sdtasdt0( xp, X ), Y ) }.
% 26.99/27.39 (423) {G2,W13,D4,L2,V1,M2} F(417) { ! aNaturalNumber0( X ), sdtasdt0( xp,
% 26.99/27.39 sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 26.99/27.39 (434) {G3,W5,D2,L2,V1,M2} R(397,73) { aNaturalNumber0( X ), ! X = sz10 }.
% 26.99/27.39 (586) {G3,W6,D2,L2,V1,M2} R(396,73) { ! X = sz00, ! X = sz10 }.
% 26.99/27.39 (1463) {G2,W4,D3,L1,V0,M1} R(251,82) { aNaturalNumber0( sdtasdt0( xn, xn )
% 26.99/27.39 ) }.
% 26.99/27.39 (1674) {G2,W4,D3,L1,V0,M1} R(253,83) { aNaturalNumber0( sdtasdt0( xm, xm )
% 26.99/27.39 ) }.
% 26.99/27.39 (5596) {G4,W6,D2,L2,V1,M2} S(48);r(434);r(586) { X = sz10, ! sz10 = X }.
% 26.99/27.39 (7416) {G1,W10,D2,L4,V1,M4} R(55,92);d(93);r(84) { ! aNaturalNumber0( xn )
% 26.99/27.39 , xp ==> sz00, aNaturalNumber0( X ), ! X = xq }.
% 26.99/27.39 (7509) {G2,W5,D2,L2,V0,M2} Q(7416);r(82) { xp ==> sz00, aNaturalNumber0( xq
% 26.99/27.39 ) }.
% 26.99/27.39 (7674) {G1,W13,D3,L4,V1,M4} R(56,92);d(93);r(84) { ! aNaturalNumber0( xn )
% 26.99/27.39 , xp ==> sz00, sdtasdt0( xp, X ) ==> xn, ! X = xq }.
% 26.99/27.39 (7893) {G2,W8,D3,L2,V0,M2} Q(7674);r(82) { xp ==> sz00, sdtasdt0( xp, xq )
% 26.99/27.39 ==> xn }.
% 26.99/27.39 (8369) {G3,W2,D2,L1,V0,M1} S(7509);r(87) { aNaturalNumber0( xq ) }.
% 26.99/27.39 (9121) {G1,W16,D4,L4,V1,M4} R(62,92);d(93);r(84) { ! aNaturalNumber0( xn )
% 26.99/27.39 , xp ==> sz00, ! aNaturalNumber0( X ), sdtsldt0( sdtasdt0( X, xn ), xp )
% 26.99/27.39 ==> sdtasdt0( X, xq ) }.
% 26.99/27.39 (9294) {G2,W12,D4,L2,V0,M2} F(9121);r(82) { xp ==> sz00, sdtsldt0( sdtasdt0
% 26.99/27.39 ( xn, xn ), xp ) ==> sdtasdt0( xn, xq ) }.
% 26.99/27.39 (10505) {G5,W12,D2,L4,V3,M4} P(72,5596) { Y = X, ! X = Y, ! alpha4( Z, X )
% 26.99/27.39 , X = Z }.
% 26.99/27.39 (11245) {G6,W6,D2,L2,V2,M2} E(10505);q;r(74) { Y = X, ! X = Y }.
% 26.99/27.39 (12753) {G1,W24,D3,L6,V1,M6} P(89,57);r(84) { ! aNaturalNumber0( X ), xp
% 26.99/27.39 ==> sz00, ! doDivides0( xp, X ), ! aNaturalNumber0( sdtasdt0( xm, xm ) )
% 26.99/27.39 , ! X = sdtasdt0( xn, xn ), sdtasdt0( xm, xm ) = sdtsldt0( X, xp ) }.
% 26.99/27.39 (12851) {G4,W11,D5,L1,V0,M1} P(10,94);f;d(423);r(8369) { ! sdtasdt0( xp,
% 26.99/27.39 sdtasdt0( sdtasdt0( xp, xq ), xq ) ) ==> sdtasdt0( xn, xn ) }.
% 26.99/27.39 (18999) {G7,W7,D3,L2,V1,M2} P(11245,1463) { aNaturalNumber0( X ), ! X =
% 26.99/27.39 sdtasdt0( xn, xn ) }.
% 26.99/27.39 (19012) {G7,W8,D3,L2,V1,M2} P(11245,91) { doDivides0( xp, X ), ! X =
% 26.99/27.39 sdtasdt0( xn, xn ) }.
% 26.99/27.39 (20930) {G8,W12,D3,L2,V1,M2} S(12753);r(18999);r(87);r(19012);r(1674) { ! X
% 26.99/27.39 = sdtasdt0( xn, xn ), sdtasdt0( xm, xm ) = sdtsldt0( X, xp ) }.
% 26.99/27.39 (21147) {G3,W9,D4,L1,V0,M1} S(9294);r(87) { sdtsldt0( sdtasdt0( xn, xn ),
% 26.99/27.39 xp ) ==> sdtasdt0( xn, xq ) }.
% 26.99/27.39 (21214) {G3,W5,D3,L1,V0,M1} S(7893);r(87) { sdtasdt0( xp, xq ) ==> xn }.
% 26.99/27.39 (21638) {G9,W7,D3,L1,V0,M1} Q(20930);d(21147) { sdtasdt0( xn, xq ) ==>
% 26.99/27.39 sdtasdt0( xm, xm ) }.
% 26.99/27.39 (42711) {G10,W0,D0,L0,V0,M0} S(12851);d(21214);d(21638);d(89);q { }.
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 % SZS output end Refutation
% 26.99/27.39 found a proof!
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Unprocessed initial clauses:
% 26.99/27.39
% 26.99/27.39 (42713) {G0,W1,D1,L1,V0,M1} { && }.
% 26.99/27.39 (42714) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 26.99/27.39 (42715) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 26.99/27.39 (42716) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 26.99/27.39 (42717) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.99/27.39 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 26.99/27.39 (42718) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 26.99/27.39 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 26.99/27.39 (42719) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 26.99/27.39 (42720) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 26.99/27.39 X, sdtpldt0( Y, Z ) ) }.
% 26.99/27.39 (42721) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 26.99/27.39 = X }.
% 26.99/27.39 (42722) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 26.99/27.39 X ) }.
% 26.99/27.39 (42723) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 26.99/27.39 (42724) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 26.99/27.39 X, sdtasdt0( Y, Z ) ) }.
% 26.99/27.39 (42725) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 26.99/27.39 = X }.
% 26.99/27.39 (42726) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 26.99/27.39 X ) }.
% 26.99/27.39 (42727) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 26.99/27.39 = sz00 }.
% 26.99/27.39 (42728) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 26.99/27.39 sz00, X ) }.
% 26.99/27.39 (42729) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 26.99/27.39 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 26.99/27.39 (42730) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 26.99/27.39 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 26.99/27.39 (42731) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 26.99/27.39 }.
% 26.99/27.39 (42732) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 26.99/27.39 }.
% 26.99/27.39 (42733) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 26.99/27.39 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 26.99/27.39 sdtasdt0( X, Z ), Y = Z }.
% 26.99/27.39 (42734) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 26.99/27.39 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 26.99/27.39 sdtasdt0( Z, X ), Y = Z }.
% 26.99/27.39 (42735) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 26.99/27.39 (42736) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 26.99/27.39 (42737) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 26.99/27.39 (42738) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 26.99/27.39 (42739) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 26.99/27.39 (42740) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 26.99/27.39 }.
% 26.99/27.39 (42741) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 26.99/27.39 }.
% 26.99/27.39 (42742) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 26.99/27.39 }.
% 26.99/27.39 (42743) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 26.99/27.39 , Z = sdtmndt0( Y, X ) }.
% 26.99/27.39 (42744) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 26.99/27.39 }.
% 26.99/27.39 (42745) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 26.99/27.39 (42746) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 26.99/27.39 sdtlseqdt0( X, Z ) }.
% 26.99/27.39 (42747) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 26.99/27.39 (42748) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 26.99/27.39 (42749) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 26.99/27.39 ) }.
% 26.99/27.39 (42750) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 26.99/27.39 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 26.99/27.39 (42751) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 26.99/27.39 sdtpldt0( Z, Y ) }.
% 26.99/27.39 (42752) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 26.99/27.39 Z, X ), sdtpldt0( Z, Y ) ) }.
% 26.99/27.39 (42753) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 26.99/27.39 sdtpldt0( Y, Z ) }.
% 26.99/27.39 (42754) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 26.99/27.39 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 26.99/27.39 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 26.99/27.39 (42755) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 26.99/27.39 alpha6( X, Y, Z ) }.
% 26.99/27.39 (42756) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 26.99/27.39 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 26.99/27.39 (42757) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 26.99/27.39 sdtasdt0( X, Z ) }.
% 26.99/27.39 (42758) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 26.99/27.39 X, Y ), sdtasdt0( X, Z ) ) }.
% 26.99/27.39 (42759) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 26.99/27.39 sdtasdt0( Z, X ) }.
% 26.99/27.39 (42760) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 26.99/27.39 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 26.99/27.39 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 26.99/27.39 (42761) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 26.99/27.39 , ! sz10 = X }.
% 26.99/27.39 (42762) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 26.99/27.39 , sdtlseqdt0( sz10, X ) }.
% 26.99/27.39 (42763) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 26.99/27.39 (42764) {G0,W1,D1,L1,V0,M1} { && }.
% 26.99/27.39 (42765) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 26.99/27.39 (42766) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 26.99/27.39 (42767) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 26.99/27.39 (42768) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 26.99/27.39 }.
% 26.99/27.39 (42769) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 26.99/27.39 aNaturalNumber0( Z ) }.
% 26.99/27.39 (42770) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 26.99/27.39 ( X, Z ) }.
% 26.99/27.39 (42771) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 26.99/27.39 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 26.99/27.39 (42772) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 26.99/27.39 doDivides0( X, Z ) }.
% 26.99/27.39 (42773) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 26.99/27.39 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 26.99/27.39 (42774) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 26.99/27.39 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 26.99/27.39 (42775) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 26.99/27.39 (42776) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 26.99/27.39 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 26.99/27.39 (42777) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 26.99/27.39 = sz00 }.
% 26.99/27.39 (42778) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 26.99/27.39 alpha1( X ) }.
% 26.99/27.39 (42779) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 26.99/27.39 X ), isPrime0( X ) }.
% 26.99/27.39 (42780) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 26.99/27.39 (42781) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 26.99/27.39 (42782) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 26.99/27.39 (42783) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 26.99/27.39 Y ) }.
% 26.99/27.39 (42784) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 26.99/27.39 (42785) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 26.99/27.39 (42786) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 26.99/27.39 (42787) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 26.99/27.39 (42788) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 26.99/27.39 (42789) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 26.99/27.39 (42790) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 26.99/27.39 (42791) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 26.99/27.39 , alpha3( X, Y ) }.
% 26.99/27.39 (42792) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 26.99/27.39 , aNaturalNumber0( skol4( Y ) ) }.
% 26.99/27.39 (42793) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 26.99/27.39 , isPrime0( skol4( Y ) ) }.
% 26.99/27.39 (42794) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 26.99/27.39 , doDivides0( skol4( X ), X ) }.
% 26.99/27.39 (42795) {G0,W19,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 26.99/27.39 X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 26.99/27.39 (42796) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 26.99/27.39 (42797) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 26.99/27.39 (42798) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 26.99/27.39 (42799) {G0,W3,D2,L1,V0,M1} { ! xn = sz00 }.
% 26.99/27.39 (42800) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 26.99/27.39 (42801) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 26.99/27.39 (42802) {G0,W29,D4,L9,V3,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 26.99/27.39 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z
% 26.99/27.39 , sdtasdt0( Y, Y ) ) = sdtasdt0( X, X ), ! iLess0( X, xn ), ! isPrime0( Z
% 26.99/27.39 ) }.
% 26.99/27.39 (42803) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) ) =
% 26.99/27.39 sdtasdt0( xn, xn ) }.
% 26.99/27.39 (42804) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 26.99/27.39 (42805) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 26.99/27.39 (42806) {G0,W3,D2,L1,V0,M1} { doDivides0( xp, xn ) }.
% 26.99/27.39 (42807) {G0,W5,D3,L1,V0,M1} { xq = sdtsldt0( xn, xp ) }.
% 26.99/27.39 (42808) {G0,W13,D5,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xm, xm ) ) =
% 26.99/27.39 sdtasdt0( xp, sdtasdt0( xp, sdtasdt0( xq, xq ) ) ) }.
% 26.99/27.39
% 26.99/27.39
% 26.99/27.39 Total Proof:
% 26.99/27.39
% 26.99/27.39 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 26.99/27.39 parent0: (42715) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 26.99/27.39 substitution0:
% 26.99/27.39 end
% 26.99/27.39 permutation0:
% 26.99/27.39 0 ==> 0
% 26.99/27.39 end
% 26.99/27.39
% 26.99/27.39 subsumption: (3) {G0,W3,D2,L1,V0,M1} I { ! sz10 ==> sz00 }.
% 26.99/27.39 parent0: (42716) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 26.99/27.39 substitution0:
% 26.99/27.39 end
% 26.99/27.39 permutation0:
% 26.99/27.39 0 ==> 0
% 26.99/27.39 end
% 26.99/27.39
% 26.99/27.39 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 26.99/27.39 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 26.99/27.39 parent0: (42718) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 26.99/27.39 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 26.99/27.40 substitution0:
% 26.99/27.40 X := X
% 26.99/27.40 Y := Y
% 26.99/27.40 end
% 26.99/27.40 permutation0:
% 26.99/27.40 0 ==> 0
% 26.99/27.40 1 ==> 1
% 26.99/27.40 2 ==> 2
% 26.99/27.40 end
% 26.99/27.40
% 26.99/27.40 subsumption: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 26.99/27.40 parent0: (42723) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 26.99/27.40 substitution0:
% 26.99/27.40 X := X
% 26.99/27.40 Y := Y
% 26.99/27.40 end
% 26.99/27.40 permutation0:
% 26.99/27.40 0 ==> 0
% 26.99/27.40 1 ==> 1
% 26.99/27.40 2 ==> 2
% 26.99/27.40 end
% 26.99/27.40
% 26.99/27.40 eqswap: (42845) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 26.99/27.40 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 26.99/27.40 parent0[3]: (42724) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y )
% 26.99/27.40 , Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 26.99/27.40 substitution0:
% 26.99/27.40 X := X
% 26.99/27.40 Y := Y
% 26.99/27.40 Z := Z
% 26.99/27.40 end
% 26.99/27.40
% 26.99/27.40 subsumption: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 26.99/27.40 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 26.99/27.40 parent0: (42845) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 26.99/27.40 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 26.99/27.40 substitution0:
% 26.99/27.40 X := X
% 26.99/27.40 Y := Y
% 26.99/27.40 Z := Z
% 26.99/27.40 end
% 26.99/27.40 permutation0:
% 26.99/27.40 0 ==> 3
% 26.99/27.40 1 ==> 0
% 26.99/27.40 2 ==> 1
% 26.99/27.40 3 ==> 2
% 26.99/27.40 end
% 26.99/27.40
% 26.99/27.40 subsumption: (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 26.99/27.40 , X = sz10, ! sz10 = X }.
% 26.99/27.40 parent0: (42761) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00,
% 26.99/27.40 X = sz10, ! sz10 = X }.
% 26.99/27.40 substitution0:
% 26.99/27.40 X := X
% 26.99/27.40 end
% 26.99/27.40 permutation0:
% 26.99/27.40 0 ==> 0
% 26.99/27.40 1 ==> 1
% 26.99/27.40 2 ==> 2
% 26.99/27.40 3 ==> 3
% 26.99/27.40 end
% 26.99/27.40
% 26.99/27.40 subsumption: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.99/27.40 X ), aNaturalNumber0( Z ) }.
% 26.99/27.40 parent0: (42769) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.99/27.40 X ), aNaturalNumber0( Z ) }.
% 26.99/27.40 substitution0:
% 26.99/27.40 X := X
% 26.99/27.40 Y := Y
% 26.99/27.40 Z := Z
% 26.99/27.40 end
% 26.99/27.40 permutation0:
% 26.99/27.40 0 ==> 0
% 26.99/27.40 1 ==> 1
% 26.99/27.40 2 ==> 2
% 26.99/27.40 3 ==> 3
% 26.99/27.40 4 ==> 4
% 26.99/27.40 5 ==> 5
% 26.99/27.40 end
% 26.99/27.40
% 26.99/27.40 subsumption: (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.99/27.40 X ), Y = sdtasdt0( X, Z ) }.
% 26.99/27.40 parent0: (42770) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 26.99/27.40 X ), Y = sdtasdt0( X, Z ) }.
% 26.99/27.40 substitution0:
% 26.99/27.40 X := X
% 26.99/27.40 Y := Y
% 26.99/27.40 Z := Z
% 26.99/27.40 end
% 26.99/27.40 permutation0:
% 26.99/27.40 0 ==> 0
% 26.99/27.40 1 ==> 1
% 26.99/27.40 2 ==> 2
% 26.99/27.40 3 ==> 3
% 26.99/27.40 4 ==> 4
% 26.99/27.40 5 ==> 5
% 26.99/27.40 end
% 26.99/27.40
% 26.99/27.40 subsumption: (57) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 26.99/27.40 Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 26.99/27.40 parent0: (42771) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 26.99/27.40 Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 26.99/27.40 substitution0:
% 26.99/27.40 X := X
% 26.99/27.40 Y := Y
% 26.99/27.40 Z := Z
% 26.99/27.40 end
% 26.99/27.40 permutation0:
% 26.99/27.40 0 ==> 0
% 26.99/27.40 1 ==> 1
% 26.99/27.40 2 ==> 2
% 26.99/27.40 3 ==> 3
% 26.99/27.40 4 ==> 4
% 26.99/27.40 5 ==> 5
% 26.99/27.40 6 ==> 6
% 26.99/27.40 end
% 26.99/27.40
% 26.99/27.40 eqswap: (44505) {G0,W23,D4,L6,V3,M6} { sdtsldt0( sdtasdt0( X, Y ), Z ) =
% 26.99/27.40 sdtasdt0( X, sdtsldt0( Y, Z ) ), ! aNaturalNumber0( Z ), !
% 26.99/27.40 aNaturalNumber0( Y ), Z = sz00, ! doDivides0( Z, Y ), ! aNaturalNumber0(
% 26.99/27.40 X ) }.
% 26.99/27.40 parent0[5]: (42776) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 26.99/27.40 Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X )
% 26.99/27.40 }.
% 26.99/27.40 substitution0:
% 26.99/27.40 X := Z
% 26.99/27.40 Y := Y
% 26.99/27.40 Z := X
% 26.99/27.40 end
% 26.99/27.40
% 26.99/27.40 subsumption: (62) {G0,W23,D4,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 26.99/27.40 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 26.99/27.40 Z ), sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) )
% 26.99/27.40 }.
% 26.99/27.40 parent0: (44505) {G0,W23,D4,L6,V3,M6} { sdtsldt0( sdtasdt0( X, Y ), Z ) =
% 26.99/27.40 sdtasdt0( X, sdtsldt0( Y, Z ) ), ! aNaturalNumber0( Z ), !
% 26.99/27.40 aNaturalNumber0( Y ), Z = sz00, ! doDivides0( Z, Y ), ! aNaturalNumber0(
% 26.99/27.42 X ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 X := Z
% 26.99/27.42 Y := Y
% 26.99/27.42 Z := X
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 5
% 26.99/27.42 1 ==> 0
% 26.99/27.42 2 ==> 1
% 26.99/27.42 3 ==> 2
% 26.99/27.42 4 ==> 3
% 26.99/27.42 5 ==> 4
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y = X
% 26.99/27.42 }.
% 26.99/27.42 parent0: (42786) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X
% 26.99/27.42 }.
% 26.99/27.42 substitution0:
% 26.99/27.42 X := X
% 26.99/27.42 Y := Y
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 1 ==> 1
% 26.99/27.42 2 ==> 2
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 26.99/27.42 parent0: (42787) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 X := X
% 26.99/27.42 Y := Y
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 1 ==> 1
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (74) {G0,W6,D2,L2,V2,M2} I { ! Y = X, alpha4( X, Y ) }.
% 26.99/27.42 parent0: (42788) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 X := X
% 26.99/27.42 Y := Y
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 1 ==> 1
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 26.99/27.42 parent0: (42796) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 26.99/27.42 parent0: (42797) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 26.99/27.42 parent0: (42798) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (87) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 26.99/27.42 parent0: (42801) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (89) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm )
% 26.99/27.42 ) ==> sdtasdt0( xn, xn ) }.
% 26.99/27.42 parent0: (42803) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) )
% 26.99/27.42 = sdtasdt0( xn, xn ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (91) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xn
% 26.99/27.42 ) ) }.
% 26.99/27.42 parent0: (42805) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xn )
% 26.99/27.42 ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 26.99/27.42 parent0: (42806) {G0,W3,D2,L1,V0,M1} { doDivides0( xp, xn ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 eqswap: (49548) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xn, xp ) = xq }.
% 26.99/27.42 parent0[0]: (42807) {G0,W5,D3,L1,V0,M1} { xq = sdtsldt0( xn, xp ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 26.99/27.42 parent0: (49548) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xn, xp ) = xq }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 paramod: (50205) {G1,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xn ) = sdtasdt0(
% 26.99/27.42 xp, sdtasdt0( xp, sdtasdt0( xq, xq ) ) ) }.
% 26.99/27.42 parent0[0]: (89) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm ) )
% 26.99/27.42 ==> sdtasdt0( xn, xn ) }.
% 26.99/27.42 parent1[0; 2]: (42808) {G0,W13,D5,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xm
% 26.99/27.42 , xm ) ) = sdtasdt0( xp, sdtasdt0( xp, sdtasdt0( xq, xq ) ) ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 substitution1:
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 eqswap: (50206) {G1,W11,D5,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xp,
% 26.99/27.42 sdtasdt0( xq, xq ) ) ) = sdtasdt0( xn, xn ) }.
% 26.99/27.42 parent0[0]: (50205) {G1,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xn ) = sdtasdt0
% 26.99/27.42 ( xp, sdtasdt0( xp, sdtasdt0( xq, xq ) ) ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (94) {G1,W11,D5,L1,V0,M1} I;d(89) { ! sdtasdt0( xp, sdtasdt0(
% 26.99/27.42 xp, sdtasdt0( xq, xq ) ) ) ==> sdtasdt0( xn, xn ) }.
% 26.99/27.42 parent0: (50206) {G1,W11,D5,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xp,
% 26.99/27.42 sdtasdt0( xq, xq ) ) ) = sdtasdt0( xn, xn ) }.
% 26.99/27.42 substitution0:
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 factor: (50210) {G0,W6,D2,L2,V1,M2} { ! alpha4( sz10, X ), X = sz10 }.
% 26.99/27.42 parent0[1, 2]: (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y =
% 26.99/27.42 X }.
% 26.99/27.42 substitution0:
% 26.99/27.42 X := sz10
% 26.99/27.42 Y := X
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 subsumption: (225) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X =
% 26.99/27.42 sz10 }.
% 26.99/27.42 parent0: (50210) {G0,W6,D2,L2,V1,M2} { ! alpha4( sz10, X ), X = sz10 }.
% 26.99/27.42 substitution0:
% 26.99/27.42 X := X
% 26.99/27.42 end
% 26.99/27.42 permutation0:
% 26.99/27.42 0 ==> 0
% 26.99/27.42 1 ==> 1
% 26.99/27.42 end
% 26.99/27.42
% 26.99/27.42 resolution: (50212) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 26.99/27.42 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 26.99/27.42 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 30.50/30.92 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 30.50/30.92 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := xn
% 30.50/30.92 Y := X
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (251) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 30.50/30.92 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 30.50/30.92 parent0: (50212) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 30.50/30.92 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 0
% 30.50/30.92 1 ==> 1
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 resolution: (50214) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 30.50/30.92 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 30.50/30.92 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 30.50/30.92 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 30.50/30.92 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := xm
% 30.50/30.92 Y := X
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (253) {G1,W6,D3,L2,V1,M2} R(5,83) { ! aNaturalNumber0( X ),
% 30.50/30.92 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 30.50/30.92 parent0: (50214) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 30.50/30.92 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 0
% 30.50/30.92 1 ==> 1
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 *** allocated 15000 integers for justifications
% 30.50/30.92 *** allocated 22500 integers for justifications
% 30.50/30.92 *** allocated 33750 integers for justifications
% 30.50/30.92 *** allocated 50625 integers for justifications
% 30.50/30.92 eqswap: (50216) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X ) }.
% 30.50/30.92 parent0[1]: (225) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10
% 30.50/30.92 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (50217) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> sz10 }.
% 30.50/30.92 parent0[0]: (3) {G0,W3,D2,L1,V0,M1} I { ! sz10 ==> sz00 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 paramod: (50218) {G1,W6,D2,L2,V1,M2} { ! sz00 ==> X, ! alpha4( sz10, X )
% 30.50/30.92 }.
% 30.50/30.92 parent0[0]: (50216) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X )
% 30.50/30.92 }.
% 30.50/30.92 parent1[0; 3]: (50217) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> sz10 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (50239) {G1,W6,D2,L2,V1,M2} { ! X ==> sz00, ! alpha4( sz10, X )
% 30.50/30.92 }.
% 30.50/30.92 parent0[0]: (50218) {G1,W6,D2,L2,V1,M2} { ! sz00 ==> X, ! alpha4( sz10, X
% 30.50/30.92 ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (396) {G2,W6,D2,L2,V1,M2} P(225,3) { ! X = sz00, ! alpha4(
% 30.50/30.92 sz10, X ) }.
% 30.50/30.92 parent0: (50239) {G1,W6,D2,L2,V1,M2} { ! X ==> sz00, ! alpha4( sz10, X )
% 30.50/30.92 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 0
% 30.50/30.92 1 ==> 1
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51126) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X ) }.
% 30.50/30.92 parent0[1]: (225) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10
% 30.50/30.92 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 paramod: (51127) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! alpha4(
% 30.50/30.92 sz10, X ) }.
% 30.50/30.92 parent0[0]: (51126) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X )
% 30.50/30.92 }.
% 30.50/30.92 parent1[0; 1]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (397) {G2,W5,D2,L2,V1,M2} P(225,2) { aNaturalNumber0( X ), !
% 30.50/30.92 alpha4( sz10, X ) }.
% 30.50/30.92 parent0: (51127) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! alpha4(
% 30.50/30.92 sz10, X ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 0
% 30.50/30.92 1 ==> 1
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51581) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ), Z ) ==>
% 30.50/30.92 sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 30.50/30.92 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 30.50/30.92 parent0[3]: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 30.50/30.92 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 30.50/30.92 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 Y := Y
% 30.50/30.92 Z := Z
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 resolution: (51582) {G1,W15,D4,L3,V2,M3} { sdtasdt0( sdtasdt0( xp, X ), Y
% 30.50/30.92 ) ==> sdtasdt0( xp, sdtasdt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 30.50/30.92 aNaturalNumber0( Y ) }.
% 30.50/30.92 parent0[1]: (51581) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ), Z )
% 30.50/30.92 ==> sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 30.50/30.92 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 30.50/30.92 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := xp
% 30.50/30.92 Y := X
% 30.50/30.92 Z := Y
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51587) {G1,W15,D4,L3,V2,M3} { sdtasdt0( xp, sdtasdt0( X, Y ) )
% 30.50/30.92 ==> sdtasdt0( sdtasdt0( xp, X ), Y ), ! aNaturalNumber0( X ), !
% 30.50/30.92 aNaturalNumber0( Y ) }.
% 30.50/30.92 parent0[0]: (51582) {G1,W15,D4,L3,V2,M3} { sdtasdt0( sdtasdt0( xp, X ), Y
% 30.50/30.92 ) ==> sdtasdt0( xp, sdtasdt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 30.50/30.92 aNaturalNumber0( Y ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 Y := Y
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (417) {G1,W15,D4,L3,V2,M3} R(11,84) { ! aNaturalNumber0( X ),
% 30.50/30.92 ! aNaturalNumber0( Y ), sdtasdt0( xp, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 30.50/30.92 sdtasdt0( xp, X ), Y ) }.
% 30.50/30.92 parent0: (51587) {G1,W15,D4,L3,V2,M3} { sdtasdt0( xp, sdtasdt0( X, Y ) )
% 30.50/30.92 ==> sdtasdt0( sdtasdt0( xp, X ), Y ), ! aNaturalNumber0( X ), !
% 30.50/30.92 aNaturalNumber0( Y ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 Y := Y
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 2
% 30.50/30.92 1 ==> 0
% 30.50/30.92 2 ==> 1
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 factor: (51595) {G1,W13,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0(
% 30.50/30.92 xp, sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 30.50/30.92 parent0[0, 1]: (417) {G1,W15,D4,L3,V2,M3} R(11,84) { ! aNaturalNumber0( X )
% 30.50/30.92 , ! aNaturalNumber0( Y ), sdtasdt0( xp, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 30.50/30.92 sdtasdt0( xp, X ), Y ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 Y := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (423) {G2,W13,D4,L2,V1,M2} F(417) { ! aNaturalNumber0( X ),
% 30.50/30.92 sdtasdt0( xp, sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 30.50/30.92 parent0: (51595) {G1,W13,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0(
% 30.50/30.92 xp, sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 0
% 30.50/30.92 1 ==> 1
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51597) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 30.50/30.92 parent0[0]: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := Y
% 30.50/30.92 Y := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 resolution: (51598) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! sz10 = X
% 30.50/30.92 }.
% 30.50/30.92 parent0[1]: (397) {G2,W5,D2,L2,V1,M2} P(225,2) { aNaturalNumber0( X ), !
% 30.50/30.92 alpha4( sz10, X ) }.
% 30.50/30.92 parent1[1]: (51597) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 X := X
% 30.50/30.92 Y := sz10
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51599) {G1,W5,D2,L2,V1,M2} { ! X = sz10, aNaturalNumber0( X ) }.
% 30.50/30.92 parent0[1]: (51598) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! sz10 = X
% 30.50/30.92 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (434) {G3,W5,D2,L2,V1,M2} R(397,73) { aNaturalNumber0( X ), !
% 30.50/30.92 X = sz10 }.
% 30.50/30.92 parent0: (51599) {G1,W5,D2,L2,V1,M2} { ! X = sz10, aNaturalNumber0( X )
% 30.50/30.92 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 1
% 30.50/30.92 1 ==> 0
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51600) {G2,W6,D2,L2,V1,M2} { ! sz00 = X, ! alpha4( sz10, X ) }.
% 30.50/30.92 parent0[0]: (396) {G2,W6,D2,L2,V1,M2} P(225,3) { ! X = sz00, ! alpha4( sz10
% 30.50/30.92 , X ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51601) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 30.50/30.92 parent0[0]: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := Y
% 30.50/30.92 Y := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 resolution: (51602) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, ! sz10 = X }.
% 30.50/30.92 parent0[1]: (51600) {G2,W6,D2,L2,V1,M2} { ! sz00 = X, ! alpha4( sz10, X )
% 30.50/30.92 }.
% 30.50/30.92 parent1[1]: (51601) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 X := X
% 30.50/30.92 Y := sz10
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51604) {G1,W6,D2,L2,V1,M2} { ! X = sz10, ! sz00 = X }.
% 30.50/30.92 parent0[1]: (51602) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, ! sz10 = X }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51605) {G1,W6,D2,L2,V1,M2} { ! X = sz00, ! X = sz10 }.
% 30.50/30.92 parent0[1]: (51604) {G1,W6,D2,L2,V1,M2} { ! X = sz10, ! sz00 = X }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (586) {G3,W6,D2,L2,V1,M2} R(396,73) { ! X = sz00, ! X = sz10
% 30.50/30.92 }.
% 30.50/30.92 parent0: (51605) {G1,W6,D2,L2,V1,M2} { ! X = sz00, ! X = sz10 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 0
% 30.50/30.92 1 ==> 1
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 resolution: (51606) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn,
% 30.50/30.92 xn ) ) }.
% 30.50/30.92 parent0[0]: (251) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 30.50/30.92 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 30.50/30.92 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := xn
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (1463) {G2,W4,D3,L1,V0,M1} R(251,82) { aNaturalNumber0(
% 30.50/30.92 sdtasdt0( xn, xn ) ) }.
% 30.50/30.92 parent0: (51606) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn, xn )
% 30.50/30.92 ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 0
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 resolution: (51607) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 30.50/30.92 xm ) ) }.
% 30.50/30.92 parent0[0]: (253) {G1,W6,D3,L2,V1,M2} R(5,83) { ! aNaturalNumber0( X ),
% 30.50/30.92 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 30.50/30.92 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := xm
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (1674) {G2,W4,D3,L1,V0,M1} R(253,83) { aNaturalNumber0(
% 30.50/30.92 sdtasdt0( xm, xm ) ) }.
% 30.50/30.92 parent0: (51607) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm, xm )
% 30.50/30.92 ) }.
% 30.50/30.92 substitution0:
% 30.50/30.92 end
% 30.50/30.92 permutation0:
% 30.50/30.92 0 ==> 0
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51615) {G3,W5,D2,L2,V1,M2} { ! sz10 = X, aNaturalNumber0( X ) }.
% 30.50/30.92 parent0[1]: (434) {G3,W5,D2,L2,V1,M2} R(397,73) { aNaturalNumber0( X ), ! X
% 30.50/30.92 = sz10 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 eqswap: (51617) {G3,W6,D2,L2,V1,M2} { ! sz10 = X, ! X = sz00 }.
% 30.50/30.92 parent0[1]: (586) {G3,W6,D2,L2,V1,M2} R(396,73) { ! X = sz00, ! X = sz10
% 30.50/30.92 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 resolution: (51619) {G1,W12,D2,L4,V1,M4} { X = sz00, X = sz10, ! sz10 = X
% 30.50/30.92 , ! sz10 = X }.
% 30.50/30.92 parent0[0]: (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 30.50/30.92 , X = sz10, ! sz10 = X }.
% 30.50/30.92 parent1[1]: (51615) {G3,W5,D2,L2,V1,M2} { ! sz10 = X, aNaturalNumber0( X )
% 30.50/30.92 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 factor: (51620) {G1,W9,D2,L3,V1,M3} { X = sz00, X = sz10, ! sz10 = X }.
% 30.50/30.92 parent0[2, 3]: (51619) {G1,W12,D2,L4,V1,M4} { X = sz00, X = sz10, ! sz10 =
% 30.50/30.92 X, ! sz10 = X }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 resolution: (51629) {G2,W9,D2,L3,V1,M3} { ! sz10 = X, X = sz10, ! sz10 = X
% 30.50/30.92 }.
% 30.50/30.92 parent0[1]: (51617) {G3,W6,D2,L2,V1,M2} { ! sz10 = X, ! X = sz00 }.
% 30.50/30.92 parent1[0]: (51620) {G1,W9,D2,L3,V1,M3} { X = sz00, X = sz10, ! sz10 = X
% 30.50/30.92 }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92 substitution1:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 factor: (51632) {G2,W6,D2,L2,V1,M2} { ! sz10 = X, X = sz10 }.
% 30.50/30.92 parent0[0, 2]: (51629) {G2,W9,D2,L3,V1,M3} { ! sz10 = X, X = sz10, ! sz10
% 30.50/30.92 = X }.
% 30.50/30.92 substitution0:
% 30.50/30.92 X := X
% 30.50/30.92 end
% 30.50/30.92
% 30.50/30.92 subsumption: (5596) {G4,W6,D2,L2,V1,M2} S(48);r(434);r(586) { X = sz10, !
% 30.50/30.93 sz10 = X }.
% 30.50/30.93 parent0: (51632) {G2,W6,D2,L2,V1,M2} { ! sz10 = X, X = sz10 }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93 permutation0:
% 30.50/30.93 0 ==> 1
% 30.50/30.93 1 ==> 0
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51633) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 30.50/30.93 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 30.50/30.93 aNaturalNumber0( Z ) }.
% 30.50/30.93 parent0[2]: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 30.50/30.93 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 30.50/30.93 X ), aNaturalNumber0( Z ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 Y := Y
% 30.50/30.93 Z := Z
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 resolution: (51637) {G1,W14,D3,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0(
% 30.50/30.93 xp ), ! aNaturalNumber0( xn ), ! X = sdtsldt0( xn, xp ), aNaturalNumber0
% 30.50/30.93 ( X ) }.
% 30.50/30.93 parent0[3]: (51633) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 30.50/30.93 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 30.50/30.93 , aNaturalNumber0( Z ) }.
% 30.50/30.93 parent1[0]: (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := xp
% 30.50/30.93 Y := xn
% 30.50/30.93 Z := X
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 paramod: (51638) {G1,W12,D2,L5,V1,M5} { ! X = xq, sz00 = xp, !
% 30.50/30.93 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 30.50/30.93 parent0[0]: (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 30.50/30.93 parent1[3; 3]: (51637) {G1,W14,D3,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0
% 30.50/30.93 ( xp ), ! aNaturalNumber0( xn ), ! X = sdtsldt0( xn, xp ),
% 30.50/30.93 aNaturalNumber0( X ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 resolution: (51639) {G1,W10,D2,L4,V1,M4} { ! X = xq, sz00 = xp, !
% 30.50/30.93 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 30.50/30.93 parent0[2]: (51638) {G1,W12,D2,L5,V1,M5} { ! X = xq, sz00 = xp, !
% 30.50/30.93 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 30.50/30.93 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51641) {G1,W10,D2,L4,V1,M4} { xp = sz00, ! X = xq, !
% 30.50/30.93 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 30.50/30.93 parent0[1]: (51639) {G1,W10,D2,L4,V1,M4} { ! X = xq, sz00 = xp, !
% 30.50/30.93 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 subsumption: (7416) {G1,W10,D2,L4,V1,M4} R(55,92);d(93);r(84) { !
% 30.50/30.93 aNaturalNumber0( xn ), xp ==> sz00, aNaturalNumber0( X ), ! X = xq }.
% 30.50/30.93 parent0: (51641) {G1,W10,D2,L4,V1,M4} { xp = sz00, ! X = xq, !
% 30.50/30.93 aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93 permutation0:
% 30.50/30.93 0 ==> 1
% 30.50/30.93 1 ==> 3
% 30.50/30.93 2 ==> 0
% 30.50/30.93 3 ==> 2
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51643) {G1,W10,D2,L4,V1,M4} { sz00 ==> xp, ! aNaturalNumber0( xn
% 30.50/30.93 ), aNaturalNumber0( X ), ! X = xq }.
% 30.50/30.93 parent0[1]: (7416) {G1,W10,D2,L4,V1,M4} R(55,92);d(93);r(84) { !
% 30.50/30.93 aNaturalNumber0( xn ), xp ==> sz00, aNaturalNumber0( X ), ! X = xq }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqrefl: (51646) {G0,W7,D2,L3,V0,M3} { sz00 ==> xp, ! aNaturalNumber0( xn )
% 30.50/30.93 , aNaturalNumber0( xq ) }.
% 30.50/30.93 parent0[3]: (51643) {G1,W10,D2,L4,V1,M4} { sz00 ==> xp, ! aNaturalNumber0
% 30.50/30.93 ( xn ), aNaturalNumber0( X ), ! X = xq }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := xq
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 resolution: (51647) {G1,W5,D2,L2,V0,M2} { sz00 ==> xp, aNaturalNumber0( xq
% 30.50/30.93 ) }.
% 30.50/30.93 parent0[1]: (51646) {G0,W7,D2,L3,V0,M3} { sz00 ==> xp, ! aNaturalNumber0(
% 30.50/30.93 xn ), aNaturalNumber0( xq ) }.
% 30.50/30.93 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51648) {G1,W5,D2,L2,V0,M2} { xp ==> sz00, aNaturalNumber0( xq )
% 30.50/30.93 }.
% 30.50/30.93 parent0[0]: (51647) {G1,W5,D2,L2,V0,M2} { sz00 ==> xp, aNaturalNumber0( xq
% 30.50/30.93 ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 subsumption: (7509) {G2,W5,D2,L2,V0,M2} Q(7416);r(82) { xp ==> sz00,
% 30.50/30.93 aNaturalNumber0( xq ) }.
% 30.50/30.93 parent0: (51648) {G1,W5,D2,L2,V0,M2} { xp ==> sz00, aNaturalNumber0( xq )
% 30.50/30.93 }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93 permutation0:
% 30.50/30.93 0 ==> 0
% 30.50/30.93 1 ==> 1
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51649) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 30.50/30.93 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y =
% 30.50/30.93 sdtasdt0( X, Z ) }.
% 30.50/30.93 parent0[2]: (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 30.50/30.93 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 30.50/30.93 X ), Y = sdtasdt0( X, Z ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 Y := Y
% 30.50/30.93 Z := Z
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 resolution: (51657) {G1,W17,D3,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0(
% 30.50/30.93 xp ), ! aNaturalNumber0( xn ), ! X = sdtsldt0( xn, xp ), xn = sdtasdt0(
% 30.50/30.93 xp, X ) }.
% 30.50/30.93 parent0[3]: (51649) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 30.50/30.93 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 30.50/30.93 , Y = sdtasdt0( X, Z ) }.
% 30.50/30.93 parent1[0]: (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := xp
% 30.50/30.93 Y := xn
% 30.50/30.93 Z := X
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 paramod: (51658) {G1,W15,D3,L5,V1,M5} { ! X = xq, sz00 = xp, !
% 30.50/30.93 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), xn = sdtasdt0( xp, X )
% 30.50/30.93 }.
% 30.50/30.93 parent0[0]: (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 30.50/30.93 parent1[3; 3]: (51657) {G1,W17,D3,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0
% 30.50/30.93 ( xp ), ! aNaturalNumber0( xn ), ! X = sdtsldt0( xn, xp ), xn = sdtasdt0
% 30.50/30.93 ( xp, X ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 resolution: (51659) {G1,W13,D3,L4,V1,M4} { ! X = xq, sz00 = xp, !
% 30.50/30.93 aNaturalNumber0( xn ), xn = sdtasdt0( xp, X ) }.
% 30.50/30.93 parent0[2]: (51658) {G1,W15,D3,L5,V1,M5} { ! X = xq, sz00 = xp, !
% 30.50/30.93 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), xn = sdtasdt0( xp, X )
% 30.50/30.93 }.
% 30.50/30.93 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51662) {G1,W13,D3,L4,V1,M4} { sdtasdt0( xp, X ) = xn, ! X = xq,
% 30.50/30.93 sz00 = xp, ! aNaturalNumber0( xn ) }.
% 30.50/30.93 parent0[3]: (51659) {G1,W13,D3,L4,V1,M4} { ! X = xq, sz00 = xp, !
% 30.50/30.93 aNaturalNumber0( xn ), xn = sdtasdt0( xp, X ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51664) {G1,W13,D3,L4,V1,M4} { xp = sz00, sdtasdt0( xp, X ) = xn,
% 30.50/30.93 ! X = xq, ! aNaturalNumber0( xn ) }.
% 30.50/30.93 parent0[2]: (51662) {G1,W13,D3,L4,V1,M4} { sdtasdt0( xp, X ) = xn, ! X =
% 30.50/30.93 xq, sz00 = xp, ! aNaturalNumber0( xn ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 subsumption: (7674) {G1,W13,D3,L4,V1,M4} R(56,92);d(93);r(84) { !
% 30.50/30.93 aNaturalNumber0( xn ), xp ==> sz00, sdtasdt0( xp, X ) ==> xn, ! X = xq
% 30.50/30.93 }.
% 30.50/30.93 parent0: (51664) {G1,W13,D3,L4,V1,M4} { xp = sz00, sdtasdt0( xp, X ) = xn
% 30.50/30.93 , ! X = xq, ! aNaturalNumber0( xn ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93 permutation0:
% 30.50/30.93 0 ==> 1
% 30.50/30.93 1 ==> 2
% 30.50/30.93 2 ==> 3
% 30.50/30.93 3 ==> 0
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51667) {G1,W13,D3,L4,V1,M4} { sz00 ==> xp, ! aNaturalNumber0( xn
% 30.50/30.93 ), sdtasdt0( xp, X ) ==> xn, ! X = xq }.
% 30.50/30.93 parent0[1]: (7674) {G1,W13,D3,L4,V1,M4} R(56,92);d(93);r(84) { !
% 30.50/30.93 aNaturalNumber0( xn ), xp ==> sz00, sdtasdt0( xp, X ) ==> xn, ! X = xq
% 30.50/30.93 }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqrefl: (51674) {G0,W10,D3,L3,V0,M3} { sz00 ==> xp, ! aNaturalNumber0( xn
% 30.50/30.93 ), sdtasdt0( xp, xq ) ==> xn }.
% 30.50/30.93 parent0[3]: (51667) {G1,W13,D3,L4,V1,M4} { sz00 ==> xp, ! aNaturalNumber0
% 30.50/30.93 ( xn ), sdtasdt0( xp, X ) ==> xn, ! X = xq }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := xq
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 resolution: (51675) {G1,W8,D3,L2,V0,M2} { sz00 ==> xp, sdtasdt0( xp, xq )
% 30.50/30.93 ==> xn }.
% 30.50/30.93 parent0[1]: (51674) {G0,W10,D3,L3,V0,M3} { sz00 ==> xp, ! aNaturalNumber0
% 30.50/30.93 ( xn ), sdtasdt0( xp, xq ) ==> xn }.
% 30.50/30.93 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51676) {G1,W8,D3,L2,V0,M2} { xp ==> sz00, sdtasdt0( xp, xq ) ==>
% 30.50/30.93 xn }.
% 30.50/30.93 parent0[0]: (51675) {G1,W8,D3,L2,V0,M2} { sz00 ==> xp, sdtasdt0( xp, xq )
% 30.50/30.93 ==> xn }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 subsumption: (7893) {G2,W8,D3,L2,V0,M2} Q(7674);r(82) { xp ==> sz00,
% 30.50/30.93 sdtasdt0( xp, xq ) ==> xn }.
% 30.50/30.93 parent0: (51676) {G1,W8,D3,L2,V0,M2} { xp ==> sz00, sdtasdt0( xp, xq ) ==>
% 30.50/30.93 xn }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93 permutation0:
% 30.50/30.93 0 ==> 0
% 30.50/30.93 1 ==> 1
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 resolution: (51681) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xq ) }.
% 30.50/30.93 parent0[0]: (87) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 30.50/30.93 parent1[0]: (7509) {G2,W5,D2,L2,V0,M2} Q(7416);r(82) { xp ==> sz00,
% 30.50/30.93 aNaturalNumber0( xq ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 subsumption: (8369) {G3,W2,D2,L1,V0,M1} S(7509);r(87) { aNaturalNumber0( xq
% 30.50/30.93 ) }.
% 30.50/30.93 parent0: (51681) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xq ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93 permutation0:
% 30.50/30.93 0 ==> 0
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51682) {G0,W23,D4,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 30.50/30.93 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! aNaturalNumber0( Z ),
% 30.50/30.93 sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) ) }.
% 30.50/30.93 parent0[2]: (62) {G0,W23,D4,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 30.50/30.93 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 30.50/30.93 Z ), sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) )
% 30.50/30.93 }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 Y := Y
% 30.50/30.93 Z := Z
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 resolution: (51686) {G1,W20,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0(
% 30.50/30.93 xp ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( X ), sdtsldt0( sdtasdt0
% 30.50/30.93 ( X, xn ), xp ) ==> sdtasdt0( X, sdtsldt0( xn, xp ) ) }.
% 30.50/30.93 parent0[3]: (51682) {G0,W23,D4,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 30.50/30.93 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! aNaturalNumber0( Z )
% 30.50/30.93 , sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) ) }.
% 30.50/30.93 parent1[0]: (92) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := xp
% 30.50/30.93 Y := xn
% 30.50/30.93 Z := X
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 paramod: (51699) {G1,W18,D4,L5,V1,M5} { sdtsldt0( sdtasdt0( X, xn ), xp )
% 30.50/30.93 ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xp ), !
% 30.50/30.93 aNaturalNumber0( xn ), ! aNaturalNumber0( X ) }.
% 30.50/30.93 parent0[0]: (93) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 30.50/30.93 parent1[4; 8]: (51686) {G1,W20,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0
% 30.50/30.93 ( xp ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( X ), sdtsldt0(
% 30.50/30.93 sdtasdt0( X, xn ), xp ) ==> sdtasdt0( X, sdtsldt0( xn, xp ) ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 resolution: (51710) {G1,W16,D4,L4,V1,M4} { sdtsldt0( sdtasdt0( X, xn ), xp
% 30.50/30.93 ) ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xn ), !
% 30.50/30.93 aNaturalNumber0( X ) }.
% 30.50/30.93 parent0[2]: (51699) {G1,W18,D4,L5,V1,M5} { sdtsldt0( sdtasdt0( X, xn ), xp
% 30.50/30.93 ) ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xp ), !
% 30.50/30.93 aNaturalNumber0( xn ), ! aNaturalNumber0( X ) }.
% 30.50/30.93 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 30.50/30.93 substitution0:
% 30.50/30.93 X := X
% 30.50/30.93 end
% 30.50/30.93 substitution1:
% 30.50/30.93 end
% 30.50/30.93
% 30.50/30.93 eqswap: (51712) {G1,W16,D4,L4,V1,M4} { xp = sz00, sdtsldt0( sdtasdt0( X,
% 30.50/30.93 xn ), xp ) ==> sdtasdt0( X, xq ), ! Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------