TSTP Solution File: NUM514+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM514+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 06:23:06 EDT 2022
% Result : Theorem 10.37s 10.75s
% Output : Refutation 10.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM514+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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 : Wed Jul 6 18:47:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.07 *** allocated 10000 integers for termspace/termends
% 0.45/1.07 *** allocated 10000 integers for clauses
% 0.45/1.07 *** allocated 10000 integers for justifications
% 0.45/1.07 Bliksem 1.12
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Automatic Strategy Selection
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Clauses:
% 0.45/1.07
% 0.45/1.07 { && }.
% 0.45/1.07 { aNaturalNumber0( sz00 ) }.
% 0.45/1.07 { aNaturalNumber0( sz10 ) }.
% 0.45/1.07 { ! sz10 = sz00 }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.45/1.07 ( X, Y ) ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.45/1.07 ( X, Y ) ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.45/1.07 sdtpldt0( Y, X ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.45/1.07 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.45/1.07 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.45/1.07 sdtasdt0( Y, X ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.45/1.07 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.45/1.07 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.45/1.07 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.45/1.07 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.45/1.07 , Z ) ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.45/1.07 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.45/1.07 , X ) ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.45/1.07 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.45/1.07 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.45/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.45/1.07 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.45/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.45/1.07 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.45/1.07 , X = sz00 }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.45/1.07 , Y = sz00 }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.45/1.07 , X = sz00, Y = sz00 }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.45/1.07 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.45/1.07 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.45/1.07 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.45/1.07 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.45/1.07 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.45/1.07 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.45/1.07 sdtlseqdt0( Y, X ), X = Y }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.45/1.07 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.45/1.07 X }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.45/1.07 sdtlseqdt0( Y, X ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.45/1.07 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.45/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.45/1.07 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.45/1.07 ) ) }.
% 0.45/1.07 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.45/1.07 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.45/1.07 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.72/1.25 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.72/1.25 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.72/1.25 ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.72/1.25 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.72/1.25 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.72/1.25 sdtasdt0( Z, X ) ) }.
% 0.72/1.25 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.72/1.25 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.72/1.25 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.72/1.25 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.72/1.25 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.72/1.25 ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.72/1.25 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.72/1.25 sdtasdt0( Y, X ) ) }.
% 0.72/1.25 { && }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.72/1.25 ), iLess0( X, Y ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.72/1.25 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.72/1.25 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.25 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.25 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.25 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.25 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.72/1.25 ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.25 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.25 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.72/1.25 ) ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.25 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.72/1.25 Z ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.72/1.25 sz00, sdtlseqdt0( X, Y ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.25 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.72/1.25 ( sdtasdt0( Z, Y ), X ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.72/1.25 { ! alpha1( X ), ! X = sz10 }.
% 0.72/1.25 { ! alpha1( X ), alpha2( X ) }.
% 0.72/1.25 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.72/1.25 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.72/1.25 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.72/1.25 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.72/1.25 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.72/1.25 { ! Y = sz10, alpha4( X, Y ) }.
% 0.72/1.25 { ! Y = X, alpha4( X, Y ) }.
% 0.72/1.25 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.72/1.25 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.72/1.25 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.72/1.25 }.
% 0.72/1.25 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.72/1.25 .
% 0.72/1.25 { aNaturalNumber0( xn ) }.
% 0.72/1.25 { aNaturalNumber0( xm ) }.
% 0.72/1.25 { aNaturalNumber0( xp ) }.
% 0.72/1.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.25 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.72/1.25 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), doDivides0(
% 0.72/1.25 Z, X ), doDivides0( Z, Y ) }.
% 0.72/1.25 { isPrime0( xp ) }.
% 0.72/1.25 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.72/1.25 { ! sdtlseqdt0( xp, xn ) }.
% 0.72/1.25 { ! sdtlseqdt0( xp, xm ) }.
% 0.72/1.25 { ! xn = xp }.
% 0.72/1.25 { sdtlseqdt0( xn, xp ) }.
% 10.37/10.75 { ! xm = xp }.
% 10.37/10.75 { sdtlseqdt0( xm, xp ) }.
% 10.37/10.75 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 10.37/10.75 { ! xk = sz00 }.
% 10.37/10.75 { ! xk = sz10 }.
% 10.37/10.75 { ! xk = sz00 }.
% 10.37/10.75 { ! xk = sz10 }.
% 10.37/10.75 { aNaturalNumber0( xr ) }.
% 10.37/10.75 { doDivides0( xr, xk ) }.
% 10.37/10.75 { isPrime0( xr ) }.
% 10.37/10.75 { sdtlseqdt0( xr, xk ) }.
% 10.37/10.75 { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 10.37/10.75 { ! xk = xp }.
% 10.37/10.75 { sdtlseqdt0( xk, xp ) }.
% 10.37/10.75 { doDivides0( xr, xn ), doDivides0( xr, xm ) }.
% 10.37/10.75 { doDivides0( xr, xn ) }.
% 10.37/10.75 { ! sdtsldt0( xn, xr ) = xn }.
% 10.37/10.75 { sdtlseqdt0( sdtsldt0( xn, xr ), xn ) }.
% 10.37/10.75 { sdtasdt0( sdtasdt0( sdtsldt0( xn, xr ), xm ), xr ) = sdtasdt0( xn, xm ) }
% 10.37/10.75 .
% 10.37/10.75 { sdtasdt0( xn, xm ) = sdtasdt0( sdtsldt0( sdtasdt0( xp, xk ), xr ), xr ) }
% 10.37/10.75 .
% 10.37/10.75 { sdtasdt0( xp, sdtsldt0( xk, xr ) ) = sdtasdt0( sdtsldt0( xn, xr ), xm ) }
% 10.37/10.75 .
% 10.37/10.75 { ! doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr ), xm ) ) }.
% 10.37/10.75
% 10.37/10.75 percentage equality = 0.284457, percentage horn = 0.747748
% 10.37/10.75 This is a problem with some equality
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Options Used:
% 10.37/10.75
% 10.37/10.75 useres = 1
% 10.37/10.75 useparamod = 1
% 10.37/10.75 useeqrefl = 1
% 10.37/10.75 useeqfact = 1
% 10.37/10.75 usefactor = 1
% 10.37/10.75 usesimpsplitting = 0
% 10.37/10.75 usesimpdemod = 5
% 10.37/10.75 usesimpres = 3
% 10.37/10.75
% 10.37/10.75 resimpinuse = 1000
% 10.37/10.75 resimpclauses = 20000
% 10.37/10.75 substype = eqrewr
% 10.37/10.75 backwardsubs = 1
% 10.37/10.75 selectoldest = 5
% 10.37/10.75
% 10.37/10.75 litorderings [0] = split
% 10.37/10.75 litorderings [1] = extend the termordering, first sorting on arguments
% 10.37/10.75
% 10.37/10.75 termordering = kbo
% 10.37/10.75
% 10.37/10.75 litapriori = 0
% 10.37/10.75 termapriori = 1
% 10.37/10.75 litaposteriori = 0
% 10.37/10.75 termaposteriori = 0
% 10.37/10.75 demodaposteriori = 0
% 10.37/10.75 ordereqreflfact = 0
% 10.37/10.75
% 10.37/10.75 litselect = negord
% 10.37/10.75
% 10.37/10.75 maxweight = 15
% 10.37/10.75 maxdepth = 30000
% 10.37/10.75 maxlength = 115
% 10.37/10.75 maxnrvars = 195
% 10.37/10.75 excuselevel = 1
% 10.37/10.75 increasemaxweight = 1
% 10.37/10.75
% 10.37/10.75 maxselected = 10000000
% 10.37/10.75 maxnrclauses = 10000000
% 10.37/10.75
% 10.37/10.75 showgenerated = 0
% 10.37/10.75 showkept = 0
% 10.37/10.75 showselected = 0
% 10.37/10.75 showdeleted = 0
% 10.37/10.75 showresimp = 1
% 10.37/10.75 showstatus = 2000
% 10.37/10.75
% 10.37/10.75 prologoutput = 0
% 10.37/10.75 nrgoals = 5000000
% 10.37/10.75 totalproof = 1
% 10.37/10.75
% 10.37/10.75 Symbols occurring in the translation:
% 10.37/10.75
% 10.37/10.75 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 10.37/10.75 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 10.37/10.75 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 10.37/10.75 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 10.37/10.75 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.37/10.75 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.37/10.75 aNaturalNumber0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 10.37/10.75 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 10.37/10.75 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 10.37/10.75 sdtpldt0 [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 10.37/10.75 sdtasdt0 [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 10.37/10.75 sdtlseqdt0 [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 10.37/10.75 sdtmndt0 [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 10.37/10.75 iLess0 [45, 2] (w:1, o:55, a:1, s:1, b:0),
% 10.37/10.75 doDivides0 [46, 2] (w:1, o:56, a:1, s:1, b:0),
% 10.37/10.75 sdtsldt0 [47, 2] (w:1, o:57, a:1, s:1, b:0),
% 10.37/10.75 isPrime0 [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 10.37/10.75 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 10.37/10.75 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 10.37/10.75 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 10.37/10.75 xk [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 10.37/10.75 xr [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 10.37/10.75 alpha1 [54, 1] (w:1, o:23, a:1, s:1, b:1),
% 10.37/10.75 alpha2 [55, 1] (w:1, o:24, a:1, s:1, b:1),
% 10.37/10.75 alpha3 [56, 2] (w:1, o:58, a:1, s:1, b:1),
% 10.37/10.75 alpha4 [57, 2] (w:1, o:59, a:1, s:1, b:1),
% 10.37/10.75 alpha5 [58, 3] (w:1, o:62, a:1, s:1, b:1),
% 10.37/10.75 alpha6 [59, 3] (w:1, o:63, a:1, s:1, b:1),
% 10.37/10.75 skol1 [60, 2] (w:1, o:60, a:1, s:1, b:1),
% 10.37/10.75 skol2 [61, 2] (w:1, o:61, a:1, s:1, b:1),
% 10.37/10.75 skol3 [62, 1] (w:1, o:25, a:1, s:1, b:1),
% 10.37/10.75 skol4 [63, 1] (w:1, o:26, a:1, s:1, b:1).
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Starting Search:
% 10.37/10.75
% 10.37/10.75 *** allocated 15000 integers for clauses
% 10.37/10.75 *** allocated 22500 integers for clauses
% 10.37/10.75 *** allocated 33750 integers for clauses
% 10.37/10.75 *** allocated 15000 integers for termspace/termends
% 10.37/10.75 *** allocated 50625 integers for clauses
% 10.37/10.75 *** allocated 22500 integers for termspace/termends
% 10.37/10.75 *** allocated 75937 integers for clauses
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 *** allocated 33750 integers for termspace/termends
% 10.37/10.75 *** allocated 113905 integers for clauses
% 10.37/10.75 *** allocated 50625 integers for termspace/termends
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 12348
% 10.37/10.75 Kept: 2093
% 10.37/10.75 Inuse: 133
% 10.37/10.75 Deleted: 3
% 10.37/10.75 Deletedinuse: 0
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 *** allocated 170857 integers for clauses
% 10.37/10.75 *** allocated 75937 integers for termspace/termends
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 *** allocated 256285 integers for clauses
% 10.37/10.75 *** allocated 113905 integers for termspace/termends
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 24501
% 10.37/10.75 Kept: 4197
% 10.37/10.75 Inuse: 177
% 10.37/10.75 Deleted: 7
% 10.37/10.75 Deletedinuse: 3
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 *** allocated 384427 integers for clauses
% 10.37/10.75 *** allocated 170857 integers for termspace/termends
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 43485
% 10.37/10.75 Kept: 6249
% 10.37/10.75 Inuse: 218
% 10.37/10.75 Deleted: 12
% 10.37/10.75 Deletedinuse: 6
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 55698
% 10.37/10.75 Kept: 8250
% 10.37/10.75 Inuse: 253
% 10.37/10.75 Deleted: 19
% 10.37/10.75 Deletedinuse: 11
% 10.37/10.75
% 10.37/10.75 *** allocated 256285 integers for termspace/termends
% 10.37/10.75 *** allocated 576640 integers for clauses
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 75692
% 10.37/10.75 Kept: 10287
% 10.37/10.75 Inuse: 288
% 10.37/10.75 Deleted: 30
% 10.37/10.75 Deletedinuse: 17
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 *** allocated 384427 integers for termspace/termends
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 89181
% 10.37/10.75 Kept: 12556
% 10.37/10.75 Inuse: 329
% 10.37/10.75 Deleted: 36
% 10.37/10.75 Deletedinuse: 19
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 *** allocated 864960 integers for clauses
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 106815
% 10.37/10.75 Kept: 14592
% 10.37/10.75 Inuse: 368
% 10.37/10.75 Deleted: 41
% 10.37/10.75 Deletedinuse: 23
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 117709
% 10.37/10.75 Kept: 16600
% 10.37/10.75 Inuse: 442
% 10.37/10.75 Deleted: 44
% 10.37/10.75 Deletedinuse: 24
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 135609
% 10.37/10.75 Kept: 18601
% 10.37/10.75 Inuse: 511
% 10.37/10.75 Deleted: 47
% 10.37/10.75 Deletedinuse: 24
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 *** allocated 1297440 integers for clauses
% 10.37/10.75 *** allocated 576640 integers for termspace/termends
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying clauses:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 151612
% 10.37/10.75 Kept: 21546
% 10.37/10.75 Inuse: 575
% 10.37/10.75 Deleted: 5616
% 10.37/10.75 Deletedinuse: 26
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 170909
% 10.37/10.75 Kept: 23560
% 10.37/10.75 Inuse: 639
% 10.37/10.75 Deleted: 5726
% 10.37/10.75 Deletedinuse: 136
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Bliksems!, er is een bewijs:
% 10.37/10.75 % SZS status Theorem
% 10.37/10.75 % SZS output start Refutation
% 10.37/10.75
% 10.37/10.75 (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 10.37/10.75 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 10.37/10.75 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 10.37/10.75 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.37/10.75 (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) ==>
% 10.37/10.75 X }.
% 10.37/10.75 (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( sz00, X ) ==>
% 10.37/10.75 X }.
% 10.37/10.75 (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 10.37/10.75 }.
% 10.37/10.75 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 10.37/10.75 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 10.37/10.75 sdtasdt0( X, Z ), Y = Z }.
% 10.37/10.75 (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 10.37/10.75 (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 10.37/10.75 (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 10.37/10.75 }.
% 10.37/10.75 (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 10.37/10.75 , Z = sdtmndt0( Y, X ) }.
% 10.37/10.75 (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 10.37/10.75 (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 10.37/10.75 (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 10.37/10.75 }.
% 10.37/10.75 (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 10.37/10.75 aNaturalNumber0( Z ) }.
% 10.37/10.75 (63) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X =
% 10.37/10.75 sz00 }.
% 10.37/10.75 (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 10.37/10.75 (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 10.37/10.75 (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 10.37/10.75 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 10.37/10.75 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 10.37/10.75 (85) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 10.37/10.75 (86) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 10.37/10.75 (93) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtasdt0( xn, xm ), xp ) ==> xk }.
% 10.37/10.75 (96) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 10.37/10.75 (97) {G0,W3,D2,L1,V0,M1} I { doDivides0( xr, xk ) }.
% 10.37/10.75 (98) {G0,W2,D2,L1,V0,M1} I { isPrime0( xr ) }.
% 10.37/10.75 (109) {G0,W11,D4,L1,V0,M1} I { sdtasdt0( xp, sdtsldt0( xk, xr ) ) ==>
% 10.37/10.75 sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.37/10.75 (110) {G0,W7,D4,L1,V0,M1} I { ! doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr
% 10.37/10.75 ), xm ) ) }.
% 10.37/10.75 (239) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 10.37/10.75 (241) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10 }.
% 10.37/10.75 (271) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ), aNaturalNumber0
% 10.37/10.75 ( sdtasdt0( X, xm ) ) }.
% 10.37/10.75 (373) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==> sz00 }.
% 10.37/10.75 (834) {G2,W5,D2,L2,V1,M2} P(241,2) { aNaturalNumber0( X ), ! alpha4( sz10,
% 10.37/10.75 X ) }.
% 10.37/10.75 (1013) {G3,W5,D2,L2,V1,M2} R(834,73) { aNaturalNumber0( X ), ! X = sz10 }.
% 10.37/10.75 (1054) {G1,W17,D3,L5,V2,M5} R(20,83) { ! aNaturalNumber0( X ), X = sz00, !
% 10.37/10.75 aNaturalNumber0( Y ), ! sdtasdt0( X, xp ) = sdtasdt0( X, Y ), xp = Y }.
% 10.37/10.75 (1210) {G2,W15,D3,L4,V1,M4} E(1054);f { ! xp ==> sz00, ! aNaturalNumber0( X
% 10.37/10.75 ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X ) }.
% 10.37/10.75 (1213) {G3,W6,D2,L2,V0,M2} Q(1210);r(83) { ! xp ==> sz00, xp ==> sz00 }.
% 10.37/10.75 (1559) {G2,W9,D3,L3,V1,M3} P(22,85);r(239) { ! aNaturalNumber0( xp ), !
% 10.37/10.75 aNaturalNumber0( X ), ! sdtpldt0( xp, X ) ==> sz00 }.
% 10.37/10.75 (1560) {G2,W9,D3,L3,V1,M3} P(22,98);r(239) { ! aNaturalNumber0( xr ), !
% 10.37/10.75 aNaturalNumber0( X ), ! sdtpldt0( xr, X ) ==> sz00 }.
% 10.37/10.75 (1561) {G3,W5,D3,L1,V0,M1} F(1560);r(96) { ! sdtpldt0( xr, xr ) ==> sz00
% 10.37/10.75 }.
% 10.37/10.75 (1562) {G3,W5,D3,L1,V0,M1} F(1559);r(83) { ! sdtpldt0( xp, xp ) ==> sz00
% 10.37/10.75 }.
% 10.37/10.75 (1977) {G4,W3,D2,L1,V0,M1} P(1213,1562);d(373);q { ! xp ==> sz00 }.
% 10.37/10.75 (2694) {G1,W15,D3,L5,V2,M5} R(30,1);d(8) { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==> sz00, !
% 10.37/10.75 X = Y }.
% 10.37/10.75 (2770) {G2,W7,D3,L2,V1,M2} F(2694);q;r(31) { ! aNaturalNumber0( X ),
% 10.37/10.75 sdtmndt0( X, X ) ==> sz00 }.
% 10.37/10.75 (3312) {G4,W6,D2,L2,V1,M2} R(34,2);r(1013) { sdtlseqdt0( sz10, X ), ! X =
% 10.37/10.75 sz10 }.
% 10.37/10.75 (3863) {G5,W12,D3,L4,V2,M4} R(3312,28);r(2) { ! X = sz10, ! aNaturalNumber0
% 10.37/10.75 ( X ), ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 10.37/10.75 (3874) {G6,W5,D2,L2,V1,M2} Q(3863);d(2770);r(2) { aNaturalNumber0( X ), ! X
% 10.37/10.75 = sz00 }.
% 10.37/10.75 (3887) {G7,W13,D3,L4,V2,M4} R(3874,23) { ! X = sz00, ! aNaturalNumber0( Y )
% 10.37/10.75 , ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 10.37/10.75 (3902) {G8,W6,D2,L2,V1,M2} Q(3887);d(9);r(3874) { X = sz00, ! X = sz00 }.
% 10.37/10.75 (4234) {G9,W3,D2,L1,V0,M1} P(3902,1561);d(373);q { ! xr ==> sz00 }.
% 10.37/10.75 (8635) {G1,W12,D3,L4,V1,M4} R(55,86);d(93);r(83) { ! aNaturalNumber0(
% 10.37/10.75 sdtasdt0( xn, xm ) ), xp ==> sz00, aNaturalNumber0( X ), ! X = xk }.
% 10.37/10.75 (8668) {G1,W12,D3,L4,V1,M4} R(55,97);r(96) { ! aNaturalNumber0( xk ), xr
% 10.37/10.75 ==> sz00, ! X = sdtsldt0( xk, xr ), aNaturalNumber0( X ) }.
% 10.37/10.75 (8775) {G10,W6,D3,L2,V0,M2} Q(8668);r(4234) { ! aNaturalNumber0( xk ),
% 10.37/10.75 aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 10.37/10.75 (14829) {G1,W16,D4,L4,V1,M4} P(109,54);r(83) { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( sdtsldt0( xk, xr ) ), ! X = sdtasdt0( sdtsldt0( xn, xr )
% 10.37/10.75 , xm ), doDivides0( xp, X ) }.
% 10.37/10.75 (14919) {G1,W10,D4,L2,V0,M2} P(109,5);r(83) { ! aNaturalNumber0( sdtsldt0(
% 10.37/10.75 xk, xr ) ), aNaturalNumber0( sdtasdt0( sdtsldt0( xn, xr ), xm ) ) }.
% 10.37/10.75 (14920) {G2,W11,D4,L2,V0,M2} Q(14829);r(14919) { ! aNaturalNumber0(
% 10.37/10.75 sdtsldt0( xk, xr ) ), doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr ), xm )
% 10.37/10.75 ) }.
% 10.37/10.75 (20655) {G3,W4,D3,L1,V0,M1} S(14920);r(110) { ! aNaturalNumber0( sdtsldt0(
% 10.37/10.75 xk, xr ) ) }.
% 10.37/10.75 (21005) {G5,W9,D3,L3,V1,M3} S(8635);r(1977) { ! aNaturalNumber0( sdtasdt0(
% 10.37/10.75 xn, xm ) ), aNaturalNumber0( X ), ! X = xk }.
% 10.37/10.75 (21007) {G11,W2,D2,L1,V0,M1} S(8775);r(20655) { ! aNaturalNumber0( xk ) }.
% 10.37/10.75 (21527) {G12,W4,D3,L1,V0,M1} Q(21005);r(21007) { ! aNaturalNumber0(
% 10.37/10.75 sdtasdt0( xn, xm ) ) }.
% 10.37/10.75 (24566) {G13,W13,D3,L4,V2,M4} P(18,21527);r(271) { ! aNaturalNumber0( Y ),
% 10.37/10.75 ! aNaturalNumber0( xn ), ! aNaturalNumber0( X ), ! sdtpldt0( Y, xn ) =
% 10.37/10.75 sdtpldt0( Y, X ) }.
% 10.37/10.75 (24568) {G14,W9,D3,L2,V1,M2} F(24566);r(81) { ! aNaturalNumber0( X ), !
% 10.37/10.75 sdtpldt0( X, xn ) = sdtpldt0( X, X ) }.
% 10.37/10.75 (24570) {G15,W0,D0,L0,V0,M0} Q(24568);r(81) { }.
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 % SZS output end Refutation
% 10.37/10.75 found a proof!
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Unprocessed initial clauses:
% 10.37/10.75
% 10.37/10.75 (24572) {G0,W1,D1,L1,V0,M1} { && }.
% 10.37/10.75 (24573) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 10.37/10.75 (24574) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 10.37/10.75 (24575) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 10.37/10.75 (24576) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 10.37/10.75 (24577) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.37/10.75 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.37/10.75 (24578) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 10.37/10.75 (24579) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 10.37/10.75 X, sdtpldt0( Y, Z ) ) }.
% 10.37/10.75 (24580) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 10.37/10.75 = X }.
% 10.37/10.75 (24581) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 10.37/10.75 X ) }.
% 10.37/10.75 (24582) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 10.37/10.75 (24583) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 10.37/10.75 X, sdtasdt0( Y, Z ) ) }.
% 10.37/10.75 (24584) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 10.37/10.75 = X }.
% 10.37/10.75 (24585) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 10.37/10.75 X ) }.
% 10.37/10.75 (24586) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 10.37/10.75 = sz00 }.
% 10.37/10.75 (24587) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 10.37/10.75 sz00, X ) }.
% 10.37/10.75 (24588) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 10.37/10.75 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 10.37/10.75 (24589) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 10.37/10.75 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 10.37/10.75 (24590) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 10.37/10.75 }.
% 10.37/10.75 (24591) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 10.37/10.75 }.
% 10.37/10.75 (24592) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 10.37/10.75 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 10.37/10.75 sdtasdt0( X, Z ), Y = Z }.
% 10.37/10.75 (24593) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 10.37/10.75 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 10.37/10.75 sdtasdt0( Z, X ), Y = Z }.
% 10.37/10.75 (24594) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 10.37/10.75 (24595) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 10.37/10.75 (24596) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 10.37/10.75 (24597) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 10.37/10.75 (24598) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 10.37/10.75 (24599) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 10.37/10.75 }.
% 10.37/10.75 (24600) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 10.37/10.75 }.
% 10.37/10.75 (24601) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 10.37/10.75 }.
% 10.37/10.75 (24602) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 10.37/10.75 , Z = sdtmndt0( Y, X ) }.
% 10.37/10.75 (24603) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 10.37/10.75 }.
% 10.37/10.75 (24604) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 10.37/10.75 (24605) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 10.37/10.75 sdtlseqdt0( X, Z ) }.
% 10.37/10.75 (24606) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 10.37/10.75 (24607) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 10.37/10.75 (24608) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 10.37/10.75 ) }.
% 10.37/10.75 (24609) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 10.37/10.75 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 10.37/10.75 (24610) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 10.37/10.75 sdtpldt0( Z, Y ) }.
% 10.37/10.75 (24611) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 10.37/10.75 Z, X ), sdtpldt0( Z, Y ) ) }.
% 10.37/10.75 (24612) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 10.37/10.75 sdtpldt0( Y, Z ) }.
% 10.37/10.75 (24613) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 10.37/10.75 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 10.37/10.75 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 10.37/10.75 (24614) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 10.37/10.75 alpha6( X, Y, Z ) }.
% 10.37/10.75 (24615) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 10.37/10.75 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 10.37/10.75 (24616) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 10.37/10.75 sdtasdt0( X, Z ) }.
% 10.37/10.75 (24617) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 10.37/10.75 X, Y ), sdtasdt0( X, Z ) ) }.
% 10.37/10.75 (24618) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 10.37/10.75 sdtasdt0( Z, X ) }.
% 10.37/10.75 (24619) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 10.37/10.75 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 10.37/10.75 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 10.37/10.75 (24620) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.37/10.75 , ! sz10 = X }.
% 10.37/10.75 (24621) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.37/10.75 , sdtlseqdt0( sz10, X ) }.
% 10.37/10.75 (24622) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 10.37/10.75 (24623) {G0,W1,D1,L1,V0,M1} { && }.
% 10.37/10.75 (24624) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 10.37/10.75 (24625) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 10.37/10.75 (24626) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 10.37/10.75 (24627) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 10.37/10.75 }.
% 10.37/10.75 (24628) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 10.37/10.75 aNaturalNumber0( Z ) }.
% 10.37/10.75 (24629) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 10.37/10.75 ( X, Z ) }.
% 10.37/10.75 (24630) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 10.37/10.75 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 10.37/10.75 (24631) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 10.37/10.75 doDivides0( X, Z ) }.
% 10.37/10.75 (24632) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 10.37/10.75 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 10.37/10.75 (24633) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 10.37/10.75 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 10.37/10.75 (24634) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 10.37/10.75 (24635) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 10.37/10.75 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 10.37/10.75 (24636) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 10.37/10.75 = sz00 }.
% 10.37/10.75 (24637) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 10.37/10.75 alpha1( X ) }.
% 10.37/10.75 (24638) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 10.37/10.75 X ), isPrime0( X ) }.
% 10.37/10.75 (24639) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 10.37/10.75 (24640) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 10.37/10.75 (24641) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 10.37/10.75 (24642) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 10.37/10.75 Y ) }.
% 10.37/10.75 (24643) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 10.37/10.75 (24644) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 10.37/10.75 (24645) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 10.37/10.75 (24646) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 10.37/10.75 (24647) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 10.37/10.75 (24648) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 10.37/10.75 (24649) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 10.37/10.75 (24650) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 10.37/10.75 , alpha3( X, Y ) }.
% 10.37/10.75 (24651) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.37/10.75 , aNaturalNumber0( skol4( Y ) ) }.
% 10.37/10.75 (24652) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.37/10.75 , isPrime0( skol4( Y ) ) }.
% 10.37/10.75 (24653) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.37/10.75 , doDivides0( skol4( X ), X ) }.
% 10.37/10.75 (24654) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 10.37/10.75 (24655) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 10.37/10.75 (24656) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 10.37/10.75 (24657) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.37/10.75 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 10.37/10.75 X, Y ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0(
% 10.37/10.75 xn, xm ), xp ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 10.37/10.75 (24658) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 10.37/10.75 (24659) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 10.37/10.75 (24660) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 10.37/10.75 (24661) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 10.37/10.75 (24662) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 10.37/10.75 (24663) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 10.37/10.75 (24664) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 10.37/10.75 (24665) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 10.37/10.75 (24666) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 10.37/10.75 (24667) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 10.37/10.75 (24668) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 10.37/10.75 (24669) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 10.37/10.75 (24670) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 10.37/10.75 (24671) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 10.37/10.75 (24672) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xk ) }.
% 10.37/10.75 (24673) {G0,W2,D2,L1,V0,M1} { isPrime0( xr ) }.
% 10.37/10.75 (24674) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xr, xk ) }.
% 10.37/10.75 (24675) {G0,W5,D3,L1,V0,M1} { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 10.37/10.75 (24676) {G0,W3,D2,L1,V0,M1} { ! xk = xp }.
% 10.37/10.75 (24677) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xk, xp ) }.
% 10.37/10.75 (24678) {G0,W6,D2,L2,V0,M2} { doDivides0( xr, xn ), doDivides0( xr, xm )
% 10.37/10.75 }.
% 10.37/10.75 (24679) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xn ) }.
% 10.37/10.75 (24680) {G0,W5,D3,L1,V0,M1} { ! sdtsldt0( xn, xr ) = xn }.
% 10.37/10.75 (24681) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sdtsldt0( xn, xr ), xn ) }.
% 10.37/10.75 (24682) {G0,W11,D5,L1,V0,M1} { sdtasdt0( sdtasdt0( sdtsldt0( xn, xr ), xm
% 10.37/10.75 ), xr ) = sdtasdt0( xn, xm ) }.
% 10.37/10.75 (24683) {G0,W11,D5,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( sdtsldt0(
% 10.37/10.75 sdtasdt0( xp, xk ), xr ), xr ) }.
% 10.37/10.75 (24684) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xp, sdtsldt0( xk, xr ) ) =
% 10.37/10.75 sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.37/10.75 (24685) {G0,W7,D4,L1,V0,M1} { ! doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr
% 10.37/10.75 ), xm ) ) }.
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Total Proof:
% 10.37/10.75
% 10.37/10.75 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 10.37/10.75 parent0: (24573) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 10.37/10.75 substitution0:
% 10.37/10.75 end
% 10.37/10.75 permutation0:
% 10.37/10.75 0 ==> 0
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 10.37/10.75 parent0: (24574) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 10.37/10.75 substitution0:
% 10.37/10.75 end
% 10.37/10.75 permutation0:
% 10.37/10.75 0 ==> 0
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.37/10.75 parent0: (24577) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.37/10.75 substitution0:
% 10.37/10.75 X := X
% 10.37/10.75 Y := Y
% 10.37/10.75 end
% 10.37/10.75 permutation0:
% 10.37/10.75 0 ==> 0
% 10.37/10.75 1 ==> 1
% 10.37/10.75 2 ==> 2
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 subsumption: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 10.37/10.75 X, sz00 ) ==> X }.
% 10.37/10.75 parent0: (24580) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X
% 10.37/10.75 , sz00 ) = X }.
% 10.37/10.75 substitution0:
% 10.37/10.75 X := X
% 10.37/10.75 end
% 10.37/10.75 permutation0:
% 10.37/10.75 0 ==> 0
% 10.37/10.75 1 ==> 1
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 eqswap: (24717) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 10.37/10.75 aNaturalNumber0( X ) }.
% 10.37/10.75 parent0[1]: (24581) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 10.37/10.75 sdtpldt0( sz00, X ) }.
% 10.37/10.75 substitution0:
% 10.37/10.75 X := X
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 subsumption: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 10.37/10.75 sz00, X ) ==> X }.
% 10.37/10.75 parent0: (24717) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 10.37/10.75 aNaturalNumber0( X ) }.
% 10.37/10.75 substitution0:
% 10.37/10.75 X := X
% 10.37/10.75 end
% 10.37/10.75 permutation0:
% 10.37/10.75 0 ==> 1
% 10.37/10.75 1 ==> 0
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 subsumption: (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 10.37/10.75 sdtpldt0( X, Z ), Y = Z }.
% 10.37/10.75 parent0: (24590) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 10.37/10.75 sdtpldt0( X, Z ), Y = Z }.
% 10.37/10.75 substitution0:
% 10.37/10.75 X := X
% 10.37/10.75 Y := Y
% 10.37/10.75 Z := Z
% 10.37/10.75 end
% 10.37/10.75 permutation0:
% 10.37/10.75 0 ==> 0
% 10.37/10.75 1 ==> 1
% 10.37/10.75 2 ==> 2
% 10.37/10.75 3 ==> 3
% 10.37/10.75 4 ==> 4
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 10.37/10.75 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 10.37/10.75 sdtasdt0( X, Z ), Y = Z }.
% 10.37/10.75 parent0: (24592) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00,
% 10.37/10.75 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 10.37/10.75 sdtasdt0( X, Z ), Y = Z }.
% 10.37/10.75 substitution0:
% 10.37/10.75 X := X
% 10.37/10.75 Y := Y
% 10.37/10.75 Z := Z
% 10.37/10.75 end
% 10.37/10.75 permutation0:
% 10.37/10.75 0 ==> 0
% 10.37/10.75 1 ==> 1
% 10.37/10.75 2 ==> 2
% 10.37/10.75 3 ==> 3
% 10.37/10.75 4 ==> 4
% 10.37/10.75 5 ==> 5
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 subsumption: (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 10.37/10.75 parent0: (24594) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 10.37/10.75 substitution0:
% 10.37/10.75 X := X
% 10.37/10.75 Y := Y
% 10.37/10.75 end
% 10.37/10.75 permutation0:
% 10.37/10.75 0 ==> 0
% 10.37/10.75 1 ==> 1
% 10.37/10.75 2 ==> 2
% 10.37/10.75 3 ==> 3
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 subsumption: (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 10.37/10.75 parent0: (24595) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 10.37/10.75 substitution0:
% 10.37/10.75 X := X
% 10.37/10.75 Y := Y
% 10.37/10.75 end
% 10.37/10.75 permutation0:
% 10.37/10.75 0 ==> 0
% 10.37/10.75 1 ==> 1
% 10.37/10.75 2 ==> 2
% 10.37/10.75 3 ==> 3
% 10.37/10.75 end
% 10.37/10.75
% 10.37/10.75 subsumption: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 10.37/10.75 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 10.37/10.75 aNaturalNumber0( Z ) }.
% 10.37/10.75 parent0: (24600) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 10.37/10.77 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 10.37/10.77 aNaturalNumber0( Z ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 X := X
% 10.37/10.77 Y := Y
% 10.37/10.77 Z := Z
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 1 ==> 1
% 10.37/10.77 2 ==> 2
% 10.37/10.77 3 ==> 3
% 10.37/10.77 4 ==> 4
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 10.37/10.77 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 10.37/10.77 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 10.37/10.77 parent0: (24602) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 10.37/10.77 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 10.37/10.77 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 X := X
% 10.37/10.77 Y := Y
% 10.37/10.77 Z := Z
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 1 ==> 1
% 10.37/10.77 2 ==> 2
% 10.37/10.77 3 ==> 3
% 10.37/10.77 4 ==> 4
% 10.37/10.77 5 ==> 5
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 10.37/10.77 sdtlseqdt0( X, X ) }.
% 10.37/10.77 parent0: (24603) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 10.37/10.77 ( X, X ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 X := X
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 1 ==> 1
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 10.37/10.77 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 10.37/10.77 parent0: (24606) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 10.37/10.77 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 10.37/10.77 substitution0:
% 10.37/10.77 X := X
% 10.37/10.77 Y := Y
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 1 ==> 1
% 10.37/10.77 2 ==> 2
% 10.37/10.77 3 ==> 3
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 10.37/10.77 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 10.37/10.77 doDivides0( X, Y ) }.
% 10.37/10.77 parent0: (24627) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 10.37/10.77 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 10.37/10.77 doDivides0( X, Y ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 X := X
% 10.37/10.77 Y := Y
% 10.37/10.77 Z := Z
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 1 ==> 1
% 10.37/10.77 2 ==> 2
% 10.37/10.77 3 ==> 3
% 10.37/10.77 4 ==> 4
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 10.37/10.77 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 10.37/10.77 X ), aNaturalNumber0( Z ) }.
% 10.37/10.77 parent0: (24628) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 10.37/10.77 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 10.37/10.77 X ), aNaturalNumber0( Z ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 X := X
% 10.37/10.77 Y := Y
% 10.37/10.77 Z := Z
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 1 ==> 1
% 10.37/10.77 2 ==> 2
% 10.37/10.77 3 ==> 3
% 10.37/10.77 4 ==> 4
% 10.37/10.77 5 ==> 5
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (63) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), !
% 10.37/10.77 isPrime0( X ), ! X = sz00 }.
% 10.37/10.77 parent0: (24636) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0
% 10.37/10.77 ( X ), ! X = sz00 }.
% 10.37/10.77 substitution0:
% 10.37/10.77 X := X
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 1 ==> 1
% 10.37/10.77 2 ==> 2
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y = X
% 10.37/10.77 }.
% 10.37/10.77 parent0: (24645) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X
% 10.37/10.77 }.
% 10.37/10.77 substitution0:
% 10.37/10.77 X := X
% 10.37/10.77 Y := Y
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 1 ==> 1
% 10.37/10.77 2 ==> 2
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 10.37/10.77 parent0: (24646) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 X := X
% 10.37/10.77 Y := Y
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 1 ==> 1
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 10.37/10.77 parent0: (24654) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 10.37/10.77 parent0: (24655) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 10.37/10.77 parent0: (24656) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (85) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 10.37/10.77 parent0: (24658) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 subsumption: (86) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xm
% 10.37/10.77 ) ) }.
% 10.37/10.77 parent0: (24659) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm )
% 10.37/10.77 ) }.
% 10.37/10.77 substitution0:
% 10.37/10.77 end
% 10.37/10.77 permutation0:
% 10.37/10.77 0 ==> 0
% 10.37/10.77 end
% 10.37/10.77
% 10.37/10.77 eqswap: (30189) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtasdt0( xn, xm ), xp ) =
% 10.37/10.77 xk }.
% 10.37/10.77 parent0[0]: (24666) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm
% 10.43/10.78 ), xp ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 subsumption: (93) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtasdt0( xn, xm ), xp
% 10.43/10.78 ) ==> xk }.
% 10.43/10.78 parent0: (30189) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtasdt0( xn, xm ), xp )
% 10.43/10.78 = xk }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78 permutation0:
% 10.43/10.78 0 ==> 0
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 subsumption: (96) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 10.43/10.78 parent0: (24671) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78 permutation0:
% 10.43/10.78 0 ==> 0
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 subsumption: (97) {G0,W3,D2,L1,V0,M1} I { doDivides0( xr, xk ) }.
% 10.43/10.78 parent0: (24672) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xk ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78 permutation0:
% 10.43/10.78 0 ==> 0
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 *** allocated 864960 integers for termspace/termends
% 10.43/10.78 subsumption: (98) {G0,W2,D2,L1,V0,M1} I { isPrime0( xr ) }.
% 10.43/10.78 parent0: (24673) {G0,W2,D2,L1,V0,M1} { isPrime0( xr ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78 permutation0:
% 10.43/10.78 0 ==> 0
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 subsumption: (109) {G0,W11,D4,L1,V0,M1} I { sdtasdt0( xp, sdtsldt0( xk, xr
% 10.43/10.78 ) ) ==> sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.43/10.78 parent0: (24684) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xp, sdtsldt0( xk, xr ) )
% 10.43/10.78 = sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78 permutation0:
% 10.43/10.78 0 ==> 0
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 subsumption: (110) {G0,W7,D4,L1,V0,M1} I { ! doDivides0( xp, sdtasdt0(
% 10.43/10.78 sdtsldt0( xn, xr ), xm ) ) }.
% 10.43/10.78 parent0: (24685) {G0,W7,D4,L1,V0,M1} { ! doDivides0( xp, sdtasdt0(
% 10.43/10.78 sdtsldt0( xn, xr ), xm ) ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78 permutation0:
% 10.43/10.78 0 ==> 0
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 eqswap: (32365) {G0,W7,D2,L3,V1,M3} { ! sz00 = X, ! aNaturalNumber0( X ),
% 10.43/10.78 ! isPrime0( X ) }.
% 10.43/10.78 parent0[2]: (63) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), ! isPrime0
% 10.43/10.78 ( X ), ! X = sz00 }.
% 10.43/10.78 substitution0:
% 10.43/10.78 X := X
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 eqrefl: (32366) {G0,W4,D2,L2,V0,M2} { ! aNaturalNumber0( sz00 ), !
% 10.43/10.78 isPrime0( sz00 ) }.
% 10.43/10.78 parent0[0]: (32365) {G0,W7,D2,L3,V1,M3} { ! sz00 = X, ! aNaturalNumber0( X
% 10.43/10.78 ), ! isPrime0( X ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 X := sz00
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 resolution: (32367) {G1,W2,D2,L1,V0,M1} { ! isPrime0( sz00 ) }.
% 10.43/10.78 parent0[0]: (32366) {G0,W4,D2,L2,V0,M2} { ! aNaturalNumber0( sz00 ), !
% 10.43/10.78 isPrime0( sz00 ) }.
% 10.43/10.78 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78 substitution1:
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 subsumption: (239) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 10.43/10.78 parent0: (32367) {G1,W2,D2,L1,V0,M1} { ! isPrime0( sz00 ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78 permutation0:
% 10.43/10.78 0 ==> 0
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 factor: (32371) {G0,W6,D2,L2,V1,M2} { ! alpha4( sz10, X ), X = sz10 }.
% 10.43/10.78 parent0[1, 2]: (72) {G0,W9,D2,L3,V2,M3} I { ! alpha4( X, Y ), Y = sz10, Y =
% 10.43/10.78 X }.
% 10.43/10.78 substitution0:
% 10.43/10.78 X := sz10
% 10.43/10.78 Y := X
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 subsumption: (241) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X =
% 10.43/10.78 sz10 }.
% 10.43/10.78 parent0: (32371) {G0,W6,D2,L2,V1,M2} { ! alpha4( sz10, X ), X = sz10 }.
% 10.43/10.78 substitution0:
% 10.43/10.78 X := X
% 10.43/10.78 end
% 10.43/10.78 permutation0:
% 10.43/10.78 0 ==> 0
% 10.43/10.78 1 ==> 1
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 resolution: (32374) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 10.43/10.78 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 10.43/10.78 parent0[1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 10.43/10.78 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.43/10.78 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 X := X
% 10.43/10.78 Y := xm
% 10.43/10.78 end
% 10.43/10.78 substitution1:
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 subsumption: (271) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 10.43/10.78 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 10.43/10.78 parent0: (32374) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 10.43/10.78 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 X := X
% 10.43/10.78 end
% 10.43/10.78 permutation0:
% 10.43/10.78 0 ==> 0
% 10.43/10.78 1 ==> 1
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 eqswap: (32375) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( X, sz00 ), !
% 10.43/10.78 aNaturalNumber0( X ) }.
% 10.43/10.78 parent0[1]: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X
% 10.43/10.78 , sz00 ) ==> X }.
% 10.43/10.78 substitution0:
% 10.43/10.78 X := X
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 resolution: (32376) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtpldt0( sz00, sz00 )
% 10.43/10.78 }.
% 10.43/10.78 parent0[1]: (32375) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( X, sz00 ), !
% 10.43/10.78 aNaturalNumber0( X ) }.
% 10.43/10.78 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 10.43/10.78 substitution0:
% 10.43/10.78 X := sz00
% 10.43/10.78 end
% 10.43/10.78 substitution1:
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 eqswap: (32377) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, sz00 ) ==> sz00 }.
% 10.43/10.78 parent0[0]: (32376) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtpldt0( sz00, sz00 )
% 10.43/10.78 }.
% 10.43/10.78 substitution0:
% 10.43/10.78 end
% 10.43/10.78
% 10.43/10.78 subsumption: (373) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==>
% 11.48/11.92 sz00 }.
% 11.48/11.92 parent0: (32377) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, sz00 ) ==> sz00 }.
% 11.48/11.92 substitution0:
% 11.48/11.92 end
% 11.48/11.92 permutation0:
% 11.48/11.92 0 ==> 0
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 *** allocated 15000 integers for justifications
% 11.48/11.92 *** allocated 22500 integers for justifications
% 11.48/11.92 eqswap: (32378) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X ) }.
% 11.48/11.92 parent0[1]: (241) {G1,W6,D2,L2,V1,M2} F(72) { ! alpha4( sz10, X ), X = sz10
% 11.48/11.92 }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := X
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 paramod: (32379) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! alpha4(
% 11.48/11.92 sz10, X ) }.
% 11.48/11.92 parent0[0]: (32378) {G1,W6,D2,L2,V1,M2} { sz10 = X, ! alpha4( sz10, X )
% 11.48/11.92 }.
% 11.48/11.92 parent1[0; 1]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := X
% 11.48/11.92 end
% 11.48/11.92 substitution1:
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 subsumption: (834) {G2,W5,D2,L2,V1,M2} P(241,2) { aNaturalNumber0( X ), !
% 11.48/11.92 alpha4( sz10, X ) }.
% 11.48/11.92 parent0: (32379) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! alpha4(
% 11.48/11.92 sz10, X ) }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := X
% 11.48/11.92 end
% 11.48/11.92 permutation0:
% 11.48/11.92 0 ==> 0
% 11.48/11.92 1 ==> 1
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 eqswap: (32833) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 11.48/11.92 parent0[0]: (73) {G0,W6,D2,L2,V2,M2} I { ! Y = sz10, alpha4( X, Y ) }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := Y
% 11.48/11.92 Y := X
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 resolution: (32834) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! sz10 = X
% 11.48/11.92 }.
% 11.48/11.92 parent0[1]: (834) {G2,W5,D2,L2,V1,M2} P(241,2) { aNaturalNumber0( X ), !
% 11.48/11.92 alpha4( sz10, X ) }.
% 11.48/11.92 parent1[1]: (32833) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, alpha4( Y, X ) }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := X
% 11.48/11.92 end
% 11.48/11.92 substitution1:
% 11.48/11.92 X := X
% 11.48/11.92 Y := sz10
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 eqswap: (32835) {G1,W5,D2,L2,V1,M2} { ! X = sz10, aNaturalNumber0( X ) }.
% 11.48/11.92 parent0[1]: (32834) {G1,W5,D2,L2,V1,M2} { aNaturalNumber0( X ), ! sz10 = X
% 11.48/11.92 }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := X
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 subsumption: (1013) {G3,W5,D2,L2,V1,M2} R(834,73) { aNaturalNumber0( X ), !
% 11.48/11.92 X = sz10 }.
% 11.48/11.92 parent0: (32835) {G1,W5,D2,L2,V1,M2} { ! X = sz10, aNaturalNumber0( X )
% 11.48/11.92 }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := X
% 11.48/11.92 end
% 11.48/11.92 permutation0:
% 11.48/11.92 0 ==> 1
% 11.48/11.92 1 ==> 0
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 eqswap: (32836) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 11.48/11.92 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 11.48/11.92 sdtasdt0( X, Z ), Y = Z }.
% 11.48/11.92 parent0[1]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 11.48/11.92 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 11.48/11.92 sdtasdt0( X, Z ), Y = Z }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := X
% 11.48/11.92 Y := Y
% 11.48/11.92 Z := Z
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 resolution: (32841) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 11.48/11.92 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xp ), Y =
% 11.48/11.92 xp }.
% 11.48/11.92 parent0[3]: (32836) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 11.48/11.92 ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 11.48/11.92 sdtasdt0( X, Z ), Y = Z }.
% 11.48/11.92 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := X
% 11.48/11.92 Y := Y
% 11.48/11.92 Z := xp
% 11.48/11.92 end
% 11.48/11.92 substitution1:
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 eqswap: (32844) {G1,W17,D3,L5,V2,M5} { xp = X, sz00 = Y, ! aNaturalNumber0
% 11.48/11.92 ( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) = sdtasdt0( Y, xp ) }.
% 11.48/11.92 parent0[4]: (32841) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 11.48/11.92 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xp ), Y =
% 11.48/11.92 xp }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := Y
% 11.48/11.92 Y := X
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 eqswap: (32845) {G1,W17,D3,L5,V2,M5} { X = sz00, xp = Y, ! aNaturalNumber0
% 11.48/11.92 ( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xp ) }.
% 11.48/11.92 parent0[1]: (32844) {G1,W17,D3,L5,V2,M5} { xp = X, sz00 = Y, !
% 11.48/11.92 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 11.48/11.92 sdtasdt0( Y, xp ) }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := Y
% 11.48/11.92 Y := X
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 eqswap: (32846) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xp ) = sdtasdt0( X,
% 11.48/11.92 Y ), X = sz00, xp = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 11.48/11.92 parent0[4]: (32845) {G1,W17,D3,L5,V2,M5} { X = sz00, xp = Y, !
% 11.48/11.92 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 11.48/11.92 sdtasdt0( X, xp ) }.
% 11.48/11.92 substitution0:
% 11.48/11.92 X := X
% 11.48/11.92 Y := Y
% 11.48/11.92 end
% 11.48/11.92
% 11.48/11.92 subsumption: (1054) {G1,W17,D3,L5,V2,M5} R(20,83) { ! aNaturalNumber0( X )
% 11.48/11.92 , X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xp ) = sdtasdt0( X, Y
% 11.48/11.92 ), xp = Y }.
% 11.48/11.92 parent0: (32846) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xp ) = sdtasdt0( X
% 12.04/12.40 , Y ), X = sz00, xp = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 12.04/12.40 }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := X
% 12.04/12.40 Y := Y
% 12.04/12.40 end
% 12.04/12.40 permutation0:
% 12.04/12.40 0 ==> 3
% 12.04/12.40 1 ==> 1
% 12.04/12.40 2 ==> 4
% 12.04/12.40 3 ==> 0
% 12.04/12.40 4 ==> 2
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 eqswap: (32867) {G1,W17,D3,L5,V2,M5} { X = xp, ! aNaturalNumber0( Y ), Y =
% 12.04/12.40 sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xp ) = sdtasdt0( Y, X ) }.
% 12.04/12.40 parent0[4]: (1054) {G1,W17,D3,L5,V2,M5} R(20,83) { ! aNaturalNumber0( X ),
% 12.04/12.40 X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xp ) = sdtasdt0( X, Y )
% 12.04/12.40 , xp = Y }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := Y
% 12.04/12.40 Y := X
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 eqswap: (32869) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) = sdtasdt0( X,
% 12.04/12.40 xp ), Y = xp, ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y )
% 12.04/12.40 }.
% 12.04/12.40 parent0[4]: (32867) {G1,W17,D3,L5,V2,M5} { X = xp, ! aNaturalNumber0( Y )
% 12.04/12.40 , Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xp ) = sdtasdt0( Y, X
% 12.04/12.40 ) }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := Y
% 12.04/12.40 Y := X
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 eqfact: (32950) {G0,W17,D3,L5,V1,M5} { ! xp = sz00, ! sdtasdt0( X, X ) =
% 12.04/12.40 sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( X
% 12.04/12.40 ) }.
% 12.04/12.40 parent0[1, 3]: (32869) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) =
% 12.04/12.40 sdtasdt0( X, xp ), Y = xp, ! aNaturalNumber0( X ), X = sz00, !
% 12.04/12.40 aNaturalNumber0( Y ) }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := X
% 12.04/12.40 Y := X
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 factor: (32953) {G0,W15,D3,L4,V1,M4} { ! xp = sz00, ! sdtasdt0( X, X ) =
% 12.04/12.40 sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00 }.
% 12.04/12.40 parent0[2, 4]: (32950) {G0,W17,D3,L5,V1,M5} { ! xp = sz00, ! sdtasdt0( X,
% 12.04/12.40 X ) = sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00, !
% 12.04/12.40 aNaturalNumber0( X ) }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := X
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 eqswap: (32955) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xp ) = sdtasdt0( X,
% 12.04/12.40 X ), ! xp = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 12.04/12.40 parent0[1]: (32953) {G0,W15,D3,L4,V1,M4} { ! xp = sz00, ! sdtasdt0( X, X )
% 12.04/12.40 = sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00 }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := X
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 subsumption: (1210) {G2,W15,D3,L4,V1,M4} E(1054);f { ! xp ==> sz00, !
% 12.04/12.40 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X )
% 12.04/12.40 }.
% 12.04/12.40 parent0: (32955) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xp ) = sdtasdt0( X
% 12.04/12.40 , X ), ! xp = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := X
% 12.04/12.40 end
% 12.04/12.40 permutation0:
% 12.04/12.40 0 ==> 3
% 12.04/12.40 1 ==> 0
% 12.04/12.40 2 ==> 1
% 12.04/12.40 3 ==> 2
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 eqswap: (32982) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xp, ! aNaturalNumber0( X
% 12.04/12.40 ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X ) }.
% 12.04/12.40 parent0[0]: (1210) {G2,W15,D3,L4,V1,M4} E(1054);f { ! xp ==> sz00, !
% 12.04/12.40 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X )
% 12.04/12.40 }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := X
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 eqrefl: (32989) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xp, ! aNaturalNumber0( xp
% 12.04/12.40 ), xp = sz00 }.
% 12.04/12.40 parent0[3]: (32982) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xp, !
% 12.04/12.40 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X )
% 12.04/12.40 }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := xp
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 resolution: (32990) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp = sz00 }.
% 12.04/12.40 parent0[1]: (32989) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xp, ! aNaturalNumber0
% 12.04/12.40 ( xp ), xp = sz00 }.
% 12.04/12.40 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 12.04/12.40 substitution0:
% 12.04/12.40 end
% 12.04/12.40 substitution1:
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 eqswap: (32991) {G1,W6,D2,L2,V0,M2} { ! xp ==> sz00, xp = sz00 }.
% 12.04/12.40 parent0[0]: (32990) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp = sz00 }.
% 12.04/12.40 substitution0:
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 subsumption: (1213) {G3,W6,D2,L2,V0,M2} Q(1210);r(83) { ! xp ==> sz00, xp
% 12.04/12.40 ==> sz00 }.
% 12.04/12.40 parent0: (32991) {G1,W6,D2,L2,V0,M2} { ! xp ==> sz00, xp = sz00 }.
% 12.04/12.40 substitution0:
% 12.04/12.40 end
% 12.04/12.40 permutation0:
% 12.04/12.40 0 ==> 0
% 12.04/12.40 1 ==> 1
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 *** allocated 1946160 integers for clauses
% 12.04/12.40 eqswap: (32994) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.04/12.40 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 12.04/12.40 parent0[2]: (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 12.04/12.40 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 12.04/12.40 substitution0:
% 12.04/12.40 X := X
% 12.04/12.40 Y := Y
% 12.04/12.40 end
% 12.04/12.40
% 12.04/12.40 paramod: (32997) {G1,W11,D3,L4,V1,M4} { isPrime0( sz00 ), ! sz00 ==>
% 12.04/12.40 sdtpldt0( xp, X ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.04/12.40 parent0[3]: (32994) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.04/12.40 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 12.55/12.90 parent1[0; 1]: (85) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := xp
% 12.55/12.90 Y := X
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 resolution: (33537) {G2,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( xp, X ), !
% 12.55/12.90 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 parent0[0]: (239) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 12.55/12.90 parent1[0]: (32997) {G1,W11,D3,L4,V1,M4} { isPrime0( sz00 ), ! sz00 ==>
% 12.55/12.90 sdtpldt0( xp, X ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 X := X
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 eqswap: (33538) {G2,W9,D3,L3,V1,M3} { ! sdtpldt0( xp, X ) ==> sz00, !
% 12.55/12.90 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 parent0[0]: (33537) {G2,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( xp, X ), !
% 12.55/12.90 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := X
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 subsumption: (1559) {G2,W9,D3,L3,V1,M3} P(22,85);r(239) { ! aNaturalNumber0
% 12.55/12.90 ( xp ), ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) ==> sz00 }.
% 12.55/12.90 parent0: (33538) {G2,W9,D3,L3,V1,M3} { ! sdtpldt0( xp, X ) ==> sz00, !
% 12.55/12.90 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := X
% 12.55/12.90 end
% 12.55/12.90 permutation0:
% 12.55/12.90 0 ==> 2
% 12.55/12.90 1 ==> 0
% 12.55/12.90 2 ==> 1
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 eqswap: (33541) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.55/12.90 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 12.55/12.90 parent0[2]: (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 12.55/12.90 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := X
% 12.55/12.90 Y := Y
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 paramod: (33544) {G1,W11,D3,L4,V1,M4} { isPrime0( sz00 ), ! sz00 ==>
% 12.55/12.90 sdtpldt0( xr, X ), ! aNaturalNumber0( xr ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 parent0[3]: (33541) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.55/12.90 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 12.55/12.90 parent1[0; 1]: (98) {G0,W2,D2,L1,V0,M1} I { isPrime0( xr ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := xr
% 12.55/12.90 Y := X
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 resolution: (34084) {G2,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( xr, X ), !
% 12.55/12.90 aNaturalNumber0( xr ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 parent0[0]: (239) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 12.55/12.90 parent1[0]: (33544) {G1,W11,D3,L4,V1,M4} { isPrime0( sz00 ), ! sz00 ==>
% 12.55/12.90 sdtpldt0( xr, X ), ! aNaturalNumber0( xr ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 X := X
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 eqswap: (34085) {G2,W9,D3,L3,V1,M3} { ! sdtpldt0( xr, X ) ==> sz00, !
% 12.55/12.90 aNaturalNumber0( xr ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 parent0[0]: (34084) {G2,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( xr, X ), !
% 12.55/12.90 aNaturalNumber0( xr ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := X
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 subsumption: (1560) {G2,W9,D3,L3,V1,M3} P(22,98);r(239) { ! aNaturalNumber0
% 12.55/12.90 ( xr ), ! aNaturalNumber0( X ), ! sdtpldt0( xr, X ) ==> sz00 }.
% 12.55/12.90 parent0: (34085) {G2,W9,D3,L3,V1,M3} { ! sdtpldt0( xr, X ) ==> sz00, !
% 12.55/12.90 aNaturalNumber0( xr ), ! aNaturalNumber0( X ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := X
% 12.55/12.90 end
% 12.55/12.90 permutation0:
% 12.55/12.90 0 ==> 2
% 12.55/12.90 1 ==> 0
% 12.55/12.90 2 ==> 1
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 factor: (34090) {G2,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xr ), ! sdtpldt0
% 12.55/12.90 ( xr, xr ) ==> sz00 }.
% 12.55/12.90 parent0[0, 1]: (1560) {G2,W9,D3,L3,V1,M3} P(22,98);r(239) { !
% 12.55/12.90 aNaturalNumber0( xr ), ! aNaturalNumber0( X ), ! sdtpldt0( xr, X ) ==>
% 12.55/12.90 sz00 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := xr
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 resolution: (34091) {G1,W5,D3,L1,V0,M1} { ! sdtpldt0( xr, xr ) ==> sz00
% 12.55/12.90 }.
% 12.55/12.90 parent0[0]: (34090) {G2,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xr ), !
% 12.55/12.90 sdtpldt0( xr, xr ) ==> sz00 }.
% 12.55/12.90 parent1[0]: (96) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 subsumption: (1561) {G3,W5,D3,L1,V0,M1} F(1560);r(96) { ! sdtpldt0( xr, xr
% 12.55/12.90 ) ==> sz00 }.
% 12.55/12.90 parent0: (34091) {G1,W5,D3,L1,V0,M1} { ! sdtpldt0( xr, xr ) ==> sz00 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 permutation0:
% 12.55/12.90 0 ==> 0
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 factor: (34095) {G2,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xp ), ! sdtpldt0
% 12.55/12.90 ( xp, xp ) ==> sz00 }.
% 12.55/12.90 parent0[0, 1]: (1559) {G2,W9,D3,L3,V1,M3} P(22,85);r(239) { !
% 12.55/12.90 aNaturalNumber0( xp ), ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) ==>
% 12.55/12.90 sz00 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := xp
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 resolution: (34096) {G1,W5,D3,L1,V0,M1} { ! sdtpldt0( xp, xp ) ==> sz00
% 12.55/12.90 }.
% 12.55/12.90 parent0[0]: (34095) {G2,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xp ), !
% 12.55/12.90 sdtpldt0( xp, xp ) ==> sz00 }.
% 12.55/12.90 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 subsumption: (1562) {G3,W5,D3,L1,V0,M1} F(1559);r(83) { ! sdtpldt0( xp, xp
% 12.55/12.90 ) ==> sz00 }.
% 12.55/12.90 parent0: (34096) {G1,W5,D3,L1,V0,M1} { ! sdtpldt0( xp, xp ) ==> sz00 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 permutation0:
% 12.55/12.90 0 ==> 0
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 eqswap: (34098) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 12.55/12.90 parent0[0]: (1213) {G3,W6,D2,L2,V0,M2} Q(1210);r(83) { ! xp ==> sz00, xp
% 12.55/12.90 ==> sz00 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 eqswap: (34101) {G3,W5,D3,L1,V0,M1} { ! sz00 ==> sdtpldt0( xp, xp ) }.
% 12.55/12.90 parent0[0]: (1562) {G3,W5,D3,L1,V0,M1} F(1559);r(83) { ! sdtpldt0( xp, xp )
% 12.55/12.90 ==> sz00 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 paramod: (34104) {G4,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( xp, sz00 ), !
% 12.55/12.90 sz00 ==> xp }.
% 12.55/12.90 parent0[1]: (34098) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 12.55/12.90 parent1[0; 5]: (34101) {G3,W5,D3,L1,V0,M1} { ! sz00 ==> sdtpldt0( xp, xp )
% 12.55/12.90 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 paramod: (34106) {G4,W11,D3,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==> xp, !
% 12.55/12.90 sz00 ==> sdtpldt0( xp, sz00 ) }.
% 12.55/12.90 parent0[1]: (34098) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 12.55/12.90 parent1[1; 3]: (34104) {G4,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( xp, sz00
% 12.55/12.90 ), ! sz00 ==> xp }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 paramod: (34108) {G4,W14,D3,L4,V0,M4} { ! sz00 ==> sdtpldt0( sz00, sz00 )
% 12.55/12.90 , ! sz00 ==> xp, ! sz00 ==> sz00, ! sz00 ==> xp }.
% 12.55/12.90 parent0[1]: (34098) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 12.55/12.90 parent1[2; 4]: (34106) {G4,W11,D3,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==>
% 12.55/12.90 xp, ! sz00 ==> sdtpldt0( xp, sz00 ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 paramod: (34118) {G2,W12,D2,L4,V0,M4} { ! sz00 ==> sz00, ! sz00 ==> xp, !
% 12.55/12.90 sz00 ==> sz00, ! sz00 ==> xp }.
% 12.55/12.90 parent0[0]: (373) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==>
% 12.55/12.90 sz00 }.
% 12.55/12.90 parent1[0; 3]: (34108) {G4,W14,D3,L4,V0,M4} { ! sz00 ==> sdtpldt0( sz00,
% 12.55/12.90 sz00 ), ! sz00 ==> xp, ! sz00 ==> sz00, ! sz00 ==> xp }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 factor: (34119) {G2,W9,D2,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==> xp, !
% 12.55/12.90 sz00 ==> xp }.
% 12.55/12.90 parent0[0, 2]: (34118) {G2,W12,D2,L4,V0,M4} { ! sz00 ==> sz00, ! sz00 ==>
% 12.55/12.90 xp, ! sz00 ==> sz00, ! sz00 ==> xp }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 factor: (34120) {G2,W6,D2,L2,V0,M2} { ! sz00 ==> sz00, ! sz00 ==> xp }.
% 12.55/12.90 parent0[1, 2]: (34119) {G2,W9,D2,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==>
% 12.55/12.90 xp, ! sz00 ==> xp }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 eqrefl: (34121) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> xp }.
% 12.55/12.90 parent0[0]: (34120) {G2,W6,D2,L2,V0,M2} { ! sz00 ==> sz00, ! sz00 ==> xp
% 12.55/12.90 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 eqswap: (34122) {G0,W3,D2,L1,V0,M1} { ! xp ==> sz00 }.
% 12.55/12.90 parent0[0]: (34121) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> xp }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 subsumption: (1977) {G4,W3,D2,L1,V0,M1} P(1213,1562);d(373);q { ! xp ==>
% 12.55/12.90 sz00 }.
% 12.55/12.90 parent0: (34122) {G0,W3,D2,L1,V0,M1} { ! xp ==> sz00 }.
% 12.55/12.90 substitution0:
% 12.55/12.90 end
% 12.55/12.90 permutation0:
% 12.55/12.90 0 ==> 0
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 eqswap: (34123) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 12.55/12.90 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 12.55/12.90 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 12.55/12.90 parent0[4]: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 12.55/12.90 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 12.55/12.90 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := X
% 12.55/12.90 Y := Z
% 12.55/12.90 Z := Y
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 resolution: (34129) {G1,W17,D3,L5,V2,M5} { ! X = sdtpldt0( Y, sz00 ), !
% 12.55/12.90 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), sz00
% 12.55/12.90 = sdtmndt0( X, Y ) }.
% 12.55/12.90 parent0[4]: (34123) {G0,W19,D3,L6,V3,M6} { ! Z = sdtpldt0( X, Y ), !
% 12.55/12.90 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Z ), !
% 12.55/12.90 aNaturalNumber0( Y ), Y = sdtmndt0( Z, X ) }.
% 12.55/12.90 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 12.55/12.90 substitution0:
% 12.55/12.90 X := Y
% 12.55/12.90 Y := sz00
% 12.55/12.90 Z := X
% 12.55/12.90 end
% 12.55/12.90 substitution1:
% 12.55/12.90 end
% 12.55/12.90
% 12.55/12.90 paramod: (34137) {G1,W17,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y ), !
% 12.55/12.90 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), sz00
% 12.55/12.90 = sdtmndt0( X, Y ) }.
% 12.55/12.91 parent0[1]: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X
% 12.55/12.91 , sz00 ) ==> X }.
% 12.55/12.91 parent1[0; 3]: (34129) {G1,W17,D3,L5,V2,M5} { ! X = sdtpldt0( Y, sz00 ), !
% 12.55/12.91 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ), sz00
% 12.55/12.91 = sdtmndt0( X, Y ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := Y
% 12.55/12.91 end
% 12.55/12.91 substitution1:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34139) {G1,W17,D3,L6,V2,M6} { sdtmndt0( X, Y ) = sz00, ! X = Y, !
% 12.55/12.91 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 12.55/12.91 sdtlseqdt0( Y, X ) }.
% 12.55/12.91 parent0[5]: (34137) {G1,W17,D3,L6,V2,M6} { ! X = Y, ! aNaturalNumber0( Y )
% 12.55/12.91 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtlseqdt0( Y, X ),
% 12.55/12.91 sz00 = sdtmndt0( X, Y ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34140) {G1,W17,D3,L6,V2,M6} { ! Y = X, sdtmndt0( X, Y ) = sz00, !
% 12.55/12.91 aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X ), !
% 12.55/12.91 sdtlseqdt0( Y, X ) }.
% 12.55/12.91 parent0[1]: (34139) {G1,W17,D3,L6,V2,M6} { sdtmndt0( X, Y ) = sz00, ! X =
% 12.55/12.91 Y, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( X )
% 12.55/12.91 , ! sdtlseqdt0( Y, X ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 factor: (34143) {G1,W15,D3,L5,V2,M5} { ! X = Y, sdtmndt0( Y, X ) = sz00, !
% 12.55/12.91 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ) }.
% 12.55/12.91 parent0[2, 3]: (34140) {G1,W17,D3,L6,V2,M6} { ! Y = X, sdtmndt0( X, Y ) =
% 12.55/12.91 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 12.55/12.91 X ), ! sdtlseqdt0( Y, X ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := Y
% 12.55/12.91 Y := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 subsumption: (2694) {G1,W15,D3,L5,V2,M5} R(30,1);d(8) { ! aNaturalNumber0(
% 12.55/12.91 X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 12.55/12.91 sz00, ! X = Y }.
% 12.55/12.91 parent0: (34143) {G1,W15,D3,L5,V2,M5} { ! X = Y, sdtmndt0( Y, X ) = sz00,
% 12.55/12.91 ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91 permutation0:
% 12.55/12.91 0 ==> 4
% 12.55/12.91 1 ==> 3
% 12.55/12.91 2 ==> 0
% 12.55/12.91 3 ==> 1
% 12.55/12.91 4 ==> 2
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34148) {G1,W15,D3,L5,V2,M5} { ! Y = X, ! aNaturalNumber0( X ), !
% 12.55/12.91 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==> sz00 }.
% 12.55/12.91 parent0[4]: (2694) {G1,W15,D3,L5,V2,M5} R(30,1);d(8) { ! aNaturalNumber0( X
% 12.55/12.91 ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 12.55/12.91 sz00, ! X = Y }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 factor: (34151) {G1,W13,D3,L4,V1,M4} { ! X = X, ! aNaturalNumber0( X ), !
% 12.55/12.91 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.55/12.91 parent0[1, 2]: (34148) {G1,W15,D3,L5,V2,M5} { ! Y = X, ! aNaturalNumber0(
% 12.55/12.91 X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), sdtmndt0( Y, X ) ==>
% 12.55/12.91 sz00 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqrefl: (34152) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 12.55/12.91 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.55/12.91 parent0[0]: (34151) {G1,W13,D3,L4,V1,M4} { ! X = X, ! aNaturalNumber0( X )
% 12.55/12.91 , ! sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 resolution: (34153) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( X ), sdtmndt0
% 12.55/12.91 ( X, X ) ==> sz00, ! aNaturalNumber0( X ) }.
% 12.55/12.91 parent0[1]: (34152) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 12.55/12.91 sdtlseqdt0( X, X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.55/12.91 parent1[1]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 12.55/12.91 ( X, X ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91 substitution1:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 factor: (34156) {G1,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0( X
% 12.55/12.91 , X ) ==> sz00 }.
% 12.55/12.91 parent0[0, 2]: (34153) {G1,W9,D3,L3,V1,M3} { ! aNaturalNumber0( X ),
% 12.55/12.91 sdtmndt0( X, X ) ==> sz00, ! aNaturalNumber0( X ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 subsumption: (2770) {G2,W7,D3,L2,V1,M2} F(2694);q;r(31) { ! aNaturalNumber0
% 12.55/12.91 ( X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.55/12.91 parent0: (34156) {G1,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtmndt0( X
% 12.55/12.91 , X ) ==> sz00 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91 permutation0:
% 12.55/12.91 0 ==> 0
% 12.55/12.91 1 ==> 1
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34157) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 12.55/12.91 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 12.55/12.91 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 12.55/12.91 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := Y
% 12.55/12.91 Y := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 resolution: (34159) {G1,W8,D2,L3,V1,M3} { ! sz10 = X, ! aNaturalNumber0( X
% 12.55/12.91 ), sdtlseqdt0( sz10, X ) }.
% 12.55/12.91 parent0[1]: (34157) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 12.55/12.91 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 12.55/12.91 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := sz10
% 12.55/12.91 end
% 12.55/12.91 substitution1:
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 resolution: (34163) {G2,W9,D2,L3,V1,M3} { ! sz10 = X, sdtlseqdt0( sz10, X
% 12.55/12.91 ), ! X = sz10 }.
% 12.55/12.91 parent0[1]: (34159) {G1,W8,D2,L3,V1,M3} { ! sz10 = X, ! aNaturalNumber0( X
% 12.55/12.91 ), sdtlseqdt0( sz10, X ) }.
% 12.55/12.91 parent1[0]: (1013) {G3,W5,D2,L2,V1,M2} R(834,73) { aNaturalNumber0( X ), !
% 12.55/12.91 X = sz10 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91 substitution1:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34164) {G2,W9,D2,L3,V1,M3} { ! X = sz10, sdtlseqdt0( sz10, X ), !
% 12.55/12.91 X = sz10 }.
% 12.55/12.91 parent0[0]: (34163) {G2,W9,D2,L3,V1,M3} { ! sz10 = X, sdtlseqdt0( sz10, X
% 12.55/12.91 ), ! X = sz10 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 factor: (34166) {G2,W6,D2,L2,V1,M2} { ! X = sz10, sdtlseqdt0( sz10, X )
% 12.55/12.91 }.
% 12.55/12.91 parent0[0, 2]: (34164) {G2,W9,D2,L3,V1,M3} { ! X = sz10, sdtlseqdt0( sz10
% 12.55/12.91 , X ), ! X = sz10 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 subsumption: (3312) {G4,W6,D2,L2,V1,M2} R(34,2);r(1013) { sdtlseqdt0( sz10
% 12.55/12.91 , X ), ! X = sz10 }.
% 12.55/12.91 parent0: (34166) {G2,W6,D2,L2,V1,M2} { ! X = sz10, sdtlseqdt0( sz10, X )
% 12.55/12.91 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91 permutation0:
% 12.55/12.91 0 ==> 1
% 12.55/12.91 1 ==> 0
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34168) {G4,W6,D2,L2,V1,M2} { ! sz10 = X, sdtlseqdt0( sz10, X )
% 12.55/12.91 }.
% 12.55/12.91 parent0[1]: (3312) {G4,W6,D2,L2,V1,M2} R(34,2);r(1013) { sdtlseqdt0( sz10,
% 12.55/12.91 X ), ! X = sz10 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34169) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 12.55/12.91 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 12.55/12.91 aNaturalNumber0( X ) }.
% 12.55/12.91 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 12.55/12.91 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 12.55/12.91 aNaturalNumber0( Z ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := Z
% 12.55/12.91 Y := Y
% 12.55/12.91 Z := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 resolution: (34170) {G1,W14,D3,L5,V2,M5} { ! sdtmndt0( X, sz10 ) = Y, !
% 12.55/12.91 aNaturalNumber0( sz10 ), ! aNaturalNumber0( X ), aNaturalNumber0( Y ), !
% 12.55/12.91 sz10 = X }.
% 12.55/12.91 parent0[3]: (34169) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 12.55/12.91 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 12.55/12.91 aNaturalNumber0( X ) }.
% 12.55/12.91 parent1[1]: (34168) {G4,W6,D2,L2,V1,M2} { ! sz10 = X, sdtlseqdt0( sz10, X
% 12.55/12.91 ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := Y
% 12.55/12.91 Y := X
% 12.55/12.91 Z := sz10
% 12.55/12.91 end
% 12.55/12.91 substitution1:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 resolution: (34174) {G1,W12,D3,L4,V2,M4} { ! sdtmndt0( X, sz10 ) = Y, !
% 12.55/12.91 aNaturalNumber0( X ), aNaturalNumber0( Y ), ! sz10 = X }.
% 12.55/12.91 parent0[1]: (34170) {G1,W14,D3,L5,V2,M5} { ! sdtmndt0( X, sz10 ) = Y, !
% 12.55/12.91 aNaturalNumber0( sz10 ), ! aNaturalNumber0( X ), aNaturalNumber0( Y ), !
% 12.55/12.91 sz10 = X }.
% 12.55/12.91 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91 substitution1:
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34176) {G1,W12,D3,L4,V2,M4} { ! X = sz10, ! sdtmndt0( X, sz10 ) =
% 12.55/12.91 Y, ! aNaturalNumber0( X ), aNaturalNumber0( Y ) }.
% 12.55/12.91 parent0[3]: (34174) {G1,W12,D3,L4,V2,M4} { ! sdtmndt0( X, sz10 ) = Y, !
% 12.55/12.91 aNaturalNumber0( X ), aNaturalNumber0( Y ), ! sz10 = X }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34177) {G1,W12,D3,L4,V2,M4} { ! Y = sdtmndt0( X, sz10 ), ! X =
% 12.55/12.91 sz10, ! aNaturalNumber0( X ), aNaturalNumber0( Y ) }.
% 12.55/12.91 parent0[1]: (34176) {G1,W12,D3,L4,V2,M4} { ! X = sz10, ! sdtmndt0( X, sz10
% 12.55/12.91 ) = Y, ! aNaturalNumber0( X ), aNaturalNumber0( Y ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 subsumption: (3863) {G5,W12,D3,L4,V2,M4} R(3312,28);r(2) { ! X = sz10, !
% 12.55/12.91 aNaturalNumber0( X ), ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 12.55/12.91 parent0: (34177) {G1,W12,D3,L4,V2,M4} { ! Y = sdtmndt0( X, sz10 ), ! X =
% 12.55/12.91 sz10, ! aNaturalNumber0( X ), aNaturalNumber0( Y ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91 permutation0:
% 12.55/12.91 0 ==> 2
% 12.55/12.91 1 ==> 0
% 12.55/12.91 2 ==> 1
% 12.55/12.91 3 ==> 3
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34178) {G5,W12,D3,L4,V2,M4} { ! sz10 = X, ! aNaturalNumber0( X )
% 12.55/12.91 , ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 12.55/12.91 parent0[0]: (3863) {G5,W12,D3,L4,V2,M4} R(3312,28);r(2) { ! X = sz10, !
% 12.55/12.91 aNaturalNumber0( X ), ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqrefl: (34182) {G0,W9,D3,L3,V1,M3} { ! aNaturalNumber0( sz10 ), ! X =
% 12.55/12.91 sdtmndt0( sz10, sz10 ), aNaturalNumber0( X ) }.
% 12.55/12.91 parent0[0]: (34178) {G5,W12,D3,L4,V2,M4} { ! sz10 = X, ! aNaturalNumber0(
% 12.55/12.91 X ), ! Y = sdtmndt0( X, sz10 ), aNaturalNumber0( Y ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := sz10
% 12.55/12.91 Y := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 paramod: (34184) {G1,W9,D2,L4,V1,M4} { ! X = sz00, ! aNaturalNumber0( sz10
% 12.55/12.91 ), ! aNaturalNumber0( sz10 ), aNaturalNumber0( X ) }.
% 12.55/12.91 parent0[1]: (2770) {G2,W7,D3,L2,V1,M2} F(2694);q;r(31) { ! aNaturalNumber0
% 12.55/12.91 ( X ), sdtmndt0( X, X ) ==> sz00 }.
% 12.55/12.91 parent1[1; 3]: (34182) {G0,W9,D3,L3,V1,M3} { ! aNaturalNumber0( sz10 ), !
% 12.55/12.91 X = sdtmndt0( sz10, sz10 ), aNaturalNumber0( X ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := sz10
% 12.55/12.91 end
% 12.55/12.91 substitution1:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 factor: (34185) {G1,W7,D2,L3,V1,M3} { ! X = sz00, ! aNaturalNumber0( sz10
% 12.55/12.91 ), aNaturalNumber0( X ) }.
% 12.55/12.91 parent0[1, 2]: (34184) {G1,W9,D2,L4,V1,M4} { ! X = sz00, ! aNaturalNumber0
% 12.55/12.91 ( sz10 ), ! aNaturalNumber0( sz10 ), aNaturalNumber0( X ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 resolution: (34186) {G1,W5,D2,L2,V1,M2} { ! X = sz00, aNaturalNumber0( X )
% 12.55/12.91 }.
% 12.55/12.91 parent0[1]: (34185) {G1,W7,D2,L3,V1,M3} { ! X = sz00, ! aNaturalNumber0(
% 12.55/12.91 sz10 ), aNaturalNumber0( X ) }.
% 12.55/12.91 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91 substitution1:
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 subsumption: (3874) {G6,W5,D2,L2,V1,M2} Q(3863);d(2770);r(2) {
% 12.55/12.91 aNaturalNumber0( X ), ! X = sz00 }.
% 12.55/12.91 parent0: (34186) {G1,W5,D2,L2,V1,M2} { ! X = sz00, aNaturalNumber0( X )
% 12.55/12.91 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91 permutation0:
% 12.55/12.91 0 ==> 1
% 12.55/12.91 1 ==> 0
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34188) {G6,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X ) }.
% 12.55/12.91 parent0[1]: (3874) {G6,W5,D2,L2,V1,M2} Q(3863);d(2770);r(2) {
% 12.55/12.91 aNaturalNumber0( X ), ! X = sz00 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34189) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.55/12.91 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.55/12.91 parent0[2]: (23) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 12.55/12.91 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 resolution: (34196) {G1,W13,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.55/12.91 aNaturalNumber0( Y ), Y = sz00, ! sz00 = X }.
% 12.55/12.91 parent0[1]: (34189) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.55/12.91 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.55/12.91 parent1[1]: (34188) {G6,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X )
% 12.55/12.91 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91 substitution1:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34207) {G1,W13,D3,L4,V2,M4} { ! X = sz00, ! sz00 ==> sdtpldt0( X
% 12.55/12.91 , Y ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.55/12.91 parent0[3]: (34196) {G1,W13,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 12.55/12.91 aNaturalNumber0( Y ), Y = sz00, ! sz00 = X }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34208) {G1,W13,D3,L4,V2,M4} { ! sdtpldt0( X, Y ) ==> sz00, ! X =
% 12.55/12.91 sz00, ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.55/12.91 parent0[1]: (34207) {G1,W13,D3,L4,V2,M4} { ! X = sz00, ! sz00 ==> sdtpldt0
% 12.55/12.91 ( X, Y ), ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 subsumption: (3887) {G7,W13,D3,L4,V2,M4} R(3874,23) { ! X = sz00, !
% 12.55/12.91 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 12.55/12.91 parent0: (34208) {G1,W13,D3,L4,V2,M4} { ! sdtpldt0( X, Y ) ==> sz00, ! X =
% 12.55/12.91 sz00, ! aNaturalNumber0( Y ), Y = sz00 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91 permutation0:
% 12.55/12.91 0 ==> 2
% 12.55/12.91 1 ==> 0
% 12.55/12.91 2 ==> 1
% 12.55/12.91 3 ==> 3
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34212) {G7,W13,D3,L4,V2,M4} { ! sz00 = X, ! aNaturalNumber0( Y )
% 12.55/12.91 , ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 12.55/12.91 parent0[0]: (3887) {G7,W13,D3,L4,V2,M4} R(3874,23) { ! X = sz00, !
% 12.55/12.91 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 Y := Y
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqswap: (34220) {G6,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X ) }.
% 12.55/12.91 parent0[1]: (3874) {G6,W5,D2,L2,V1,M2} Q(3863);d(2770);r(2) {
% 12.55/12.91 aNaturalNumber0( X ), ! X = sz00 }.
% 12.55/12.91 substitution0:
% 12.55/12.91 X := X
% 12.55/12.91 end
% 12.55/12.91
% 12.55/12.91 eqrefl: (34221) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), ! sdtpldt0
% 30.94/31.32 ( sz00, X ) ==> sz00, X = sz00 }.
% 30.94/31.32 parent0[0]: (34212) {G7,W13,D3,L4,V2,M4} { ! sz00 = X, ! aNaturalNumber0(
% 30.94/31.32 Y ), ! sdtpldt0( X, Y ) ==> sz00, Y = sz00 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := sz00
% 30.94/31.32 Y := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 paramod: (34222) {G1,W10,D2,L4,V1,M4} { ! X ==> sz00, ! aNaturalNumber0( X
% 30.94/31.32 ), ! aNaturalNumber0( X ), X = sz00 }.
% 30.94/31.32 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 30.94/31.32 sz00, X ) ==> X }.
% 30.94/31.32 parent1[1; 2]: (34221) {G0,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 30.94/31.32 sdtpldt0( sz00, X ) ==> sz00, X = sz00 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 factor: (34223) {G1,W8,D2,L3,V1,M3} { ! X ==> sz00, ! aNaturalNumber0( X )
% 30.94/31.32 , X = sz00 }.
% 30.94/31.32 parent0[1, 2]: (34222) {G1,W10,D2,L4,V1,M4} { ! X ==> sz00, !
% 30.94/31.32 aNaturalNumber0( X ), ! aNaturalNumber0( X ), X = sz00 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (34224) {G2,W9,D2,L3,V1,M3} { ! X ==> sz00, X = sz00, ! sz00 =
% 30.94/31.32 X }.
% 30.94/31.32 parent0[1]: (34223) {G1,W8,D2,L3,V1,M3} { ! X ==> sz00, ! aNaturalNumber0
% 30.94/31.32 ( X ), X = sz00 }.
% 30.94/31.32 parent1[1]: (34220) {G6,W5,D2,L2,V1,M2} { ! sz00 = X, aNaturalNumber0( X )
% 30.94/31.32 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (34227) {G2,W9,D2,L3,V1,M3} { ! X = sz00, ! X ==> sz00, X = sz00
% 30.94/31.32 }.
% 30.94/31.32 parent0[2]: (34224) {G2,W9,D2,L3,V1,M3} { ! X ==> sz00, X = sz00, ! sz00 =
% 30.94/31.32 X }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 factor: (34235) {G2,W6,D2,L2,V1,M2} { ! X = sz00, X = sz00 }.
% 30.94/31.32 parent0[0, 1]: (34227) {G2,W9,D2,L3,V1,M3} { ! X = sz00, ! X ==> sz00, X =
% 30.94/31.32 sz00 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 subsumption: (3902) {G8,W6,D2,L2,V1,M2} Q(3887);d(9);r(3874) { X = sz00, !
% 30.94/31.32 X = sz00 }.
% 30.94/31.32 parent0: (34235) {G2,W6,D2,L2,V1,M2} { ! X = sz00, X = sz00 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32 permutation0:
% 30.94/31.32 0 ==> 1
% 30.94/31.32 1 ==> 0
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 *** allocated 33750 integers for justifications
% 30.94/31.32 *** allocated 50625 integers for justifications
% 30.94/31.32 *** allocated 75937 integers for justifications
% 30.94/31.32 *** allocated 113905 integers for justifications
% 30.94/31.32 *** allocated 170857 integers for justifications
% 30.94/31.32 eqswap: (34237) {G8,W6,D2,L2,V1,M2} { ! sz00 = X, X = sz00 }.
% 30.94/31.32 parent0[1]: (3902) {G8,W6,D2,L2,V1,M2} Q(3887);d(9);r(3874) { X = sz00, ! X
% 30.94/31.32 = sz00 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (34239) {G3,W5,D3,L1,V0,M1} { ! sz00 ==> sdtpldt0( xr, xr ) }.
% 30.94/31.32 parent0[0]: (1561) {G3,W5,D3,L1,V0,M1} F(1560);r(96) { ! sdtpldt0( xr, xr )
% 30.94/31.32 ==> sz00 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 paramod: (47908) {G4,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( xr, sz00 ), !
% 30.94/31.32 sz00 = xr }.
% 30.94/31.32 parent0[1]: (34237) {G8,W6,D2,L2,V1,M2} { ! sz00 = X, X = sz00 }.
% 30.94/31.32 parent1[0; 5]: (34239) {G3,W5,D3,L1,V0,M1} { ! sz00 ==> sdtpldt0( xr, xr )
% 30.94/31.32 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := xr
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 paramod: (47911) {G5,W11,D3,L3,V0,M3} { ! sz00 ==> sdtpldt0( sz00, sz00 )
% 30.94/31.32 , ! sz00 = xr, ! sz00 = xr }.
% 30.94/31.32 parent0[1]: (34237) {G8,W6,D2,L2,V1,M2} { ! sz00 = X, X = sz00 }.
% 30.94/31.32 parent1[0; 4]: (47908) {G4,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( xr, sz00
% 30.94/31.32 ), ! sz00 = xr }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := xr
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 factor: (47923) {G5,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( sz00, sz00 ), !
% 30.94/31.32 sz00 = xr }.
% 30.94/31.32 parent0[1, 2]: (47911) {G5,W11,D3,L3,V0,M3} { ! sz00 ==> sdtpldt0( sz00,
% 30.94/31.32 sz00 ), ! sz00 = xr, ! sz00 = xr }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 paramod: (47924) {G2,W6,D2,L2,V0,M2} { ! sz00 ==> sz00, ! sz00 = xr }.
% 30.94/31.32 parent0[0]: (373) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==>
% 30.94/31.32 sz00 }.
% 30.94/31.32 parent1[0; 3]: (47923) {G5,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( sz00,
% 30.94/31.32 sz00 ), ! sz00 = xr }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqrefl: (47925) {G0,W3,D2,L1,V0,M1} { ! sz00 = xr }.
% 30.94/31.32 parent0[0]: (47924) {G2,W6,D2,L2,V0,M2} { ! sz00 ==> sz00, ! sz00 = xr }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47926) {G0,W3,D2,L1,V0,M1} { ! xr = sz00 }.
% 30.94/31.32 parent0[0]: (47925) {G0,W3,D2,L1,V0,M1} { ! sz00 = xr }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 subsumption: (4234) {G9,W3,D2,L1,V0,M1} P(3902,1561);d(373);q { ! xr ==>
% 30.94/31.32 sz00 }.
% 30.94/31.32 parent0: (47926) {G0,W3,D2,L1,V0,M1} { ! xr = sz00 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 permutation0:
% 30.94/31.32 0 ==> 0
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47927) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 30.94/31.32 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 30.94/31.32 aNaturalNumber0( Z ) }.
% 30.94/31.32 parent0[2]: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 30.94/31.32 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 30.94/31.32 X ), aNaturalNumber0( Z ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 Y := Y
% 30.94/31.32 Z := Z
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47931) {G1,W18,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0(
% 30.94/31.32 xp ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ), ! X = sdtsldt0( sdtasdt0(
% 30.94/31.32 xn, xm ), xp ), aNaturalNumber0( X ) }.
% 30.94/31.32 parent0[3]: (47927) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 30.94/31.32 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 30.94/31.32 , aNaturalNumber0( Z ) }.
% 30.94/31.32 parent1[0]: (86) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xm )
% 30.94/31.32 ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := xp
% 30.94/31.32 Y := sdtasdt0( xn, xm )
% 30.94/31.32 Z := X
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 paramod: (47932) {G1,W14,D3,L5,V1,M5} { ! X = xk, sz00 = xp, !
% 30.94/31.32 aNaturalNumber0( xp ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ),
% 30.94/31.32 aNaturalNumber0( X ) }.
% 30.94/31.32 parent0[0]: (93) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtasdt0( xn, xm ), xp )
% 30.94/31.32 ==> xk }.
% 30.94/31.32 parent1[3; 3]: (47931) {G1,W18,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0
% 30.94/31.32 ( xp ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ), ! X = sdtsldt0( sdtasdt0
% 30.94/31.32 ( xn, xm ), xp ), aNaturalNumber0( X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47933) {G1,W12,D3,L4,V1,M4} { ! X = xk, sz00 = xp, !
% 30.94/31.32 aNaturalNumber0( sdtasdt0( xn, xm ) ), aNaturalNumber0( X ) }.
% 30.94/31.32 parent0[2]: (47932) {G1,W14,D3,L5,V1,M5} { ! X = xk, sz00 = xp, !
% 30.94/31.32 aNaturalNumber0( xp ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ),
% 30.94/31.32 aNaturalNumber0( X ) }.
% 30.94/31.32 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47935) {G1,W12,D3,L4,V1,M4} { xp = sz00, ! X = xk, !
% 30.94/31.32 aNaturalNumber0( sdtasdt0( xn, xm ) ), aNaturalNumber0( X ) }.
% 30.94/31.32 parent0[1]: (47933) {G1,W12,D3,L4,V1,M4} { ! X = xk, sz00 = xp, !
% 30.94/31.32 aNaturalNumber0( sdtasdt0( xn, xm ) ), aNaturalNumber0( X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 subsumption: (8635) {G1,W12,D3,L4,V1,M4} R(55,86);d(93);r(83) { !
% 30.94/31.32 aNaturalNumber0( sdtasdt0( xn, xm ) ), xp ==> sz00, aNaturalNumber0( X )
% 30.94/31.32 , ! X = xk }.
% 30.94/31.32 parent0: (47935) {G1,W12,D3,L4,V1,M4} { xp = sz00, ! X = xk, !
% 30.94/31.32 aNaturalNumber0( sdtasdt0( xn, xm ) ), aNaturalNumber0( X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32 permutation0:
% 30.94/31.32 0 ==> 1
% 30.94/31.32 1 ==> 3
% 30.94/31.32 2 ==> 0
% 30.94/31.32 3 ==> 2
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47937) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 30.94/31.32 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 30.94/31.32 aNaturalNumber0( Z ) }.
% 30.94/31.32 parent0[2]: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 30.94/31.32 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 30.94/31.32 X ), aNaturalNumber0( Z ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 Y := Y
% 30.94/31.32 Z := Z
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47940) {G1,W14,D3,L5,V1,M5} { sz00 = xr, ! aNaturalNumber0(
% 30.94/31.32 xr ), ! aNaturalNumber0( xk ), ! X = sdtsldt0( xk, xr ), aNaturalNumber0
% 30.94/31.32 ( X ) }.
% 30.94/31.32 parent0[3]: (47937) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 30.94/31.32 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 30.94/31.32 , aNaturalNumber0( Z ) }.
% 30.94/31.32 parent1[0]: (97) {G0,W3,D2,L1,V0,M1} I { doDivides0( xr, xk ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := xr
% 30.94/31.32 Y := xk
% 30.94/31.32 Z := X
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47941) {G1,W12,D3,L4,V1,M4} { sz00 = xr, ! aNaturalNumber0(
% 30.94/31.32 xk ), ! X = sdtsldt0( xk, xr ), aNaturalNumber0( X ) }.
% 30.94/31.32 parent0[1]: (47940) {G1,W14,D3,L5,V1,M5} { sz00 = xr, ! aNaturalNumber0(
% 30.94/31.32 xr ), ! aNaturalNumber0( xk ), ! X = sdtsldt0( xk, xr ), aNaturalNumber0
% 30.94/31.32 ( X ) }.
% 30.94/31.32 parent1[0]: (96) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47942) {G1,W12,D3,L4,V1,M4} { xr = sz00, ! aNaturalNumber0( xk )
% 30.94/31.32 , ! X = sdtsldt0( xk, xr ), aNaturalNumber0( X ) }.
% 30.94/31.32 parent0[0]: (47941) {G1,W12,D3,L4,V1,M4} { sz00 = xr, ! aNaturalNumber0(
% 30.94/31.32 xk ), ! X = sdtsldt0( xk, xr ), aNaturalNumber0( X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 subsumption: (8668) {G1,W12,D3,L4,V1,M4} R(55,97);r(96) { ! aNaturalNumber0
% 30.94/31.32 ( xk ), xr ==> sz00, ! X = sdtsldt0( xk, xr ), aNaturalNumber0( X ) }.
% 30.94/31.32 parent0: (47942) {G1,W12,D3,L4,V1,M4} { xr = sz00, ! aNaturalNumber0( xk )
% 30.94/31.32 , ! X = sdtsldt0( xk, xr ), aNaturalNumber0( X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32 permutation0:
% 30.94/31.32 0 ==> 1
% 30.94/31.32 1 ==> 0
% 30.94/31.32 2 ==> 2
% 30.94/31.32 3 ==> 3
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47945) {G1,W12,D3,L4,V1,M4} { sz00 ==> xr, ! aNaturalNumber0( xk
% 30.94/31.32 ), ! X = sdtsldt0( xk, xr ), aNaturalNumber0( X ) }.
% 30.94/31.32 parent0[1]: (8668) {G1,W12,D3,L4,V1,M4} R(55,97);r(96) { ! aNaturalNumber0
% 30.94/31.32 ( xk ), xr ==> sz00, ! X = sdtsldt0( xk, xr ), aNaturalNumber0( X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47948) {G9,W3,D2,L1,V0,M1} { ! sz00 ==> xr }.
% 30.94/31.32 parent0[0]: (4234) {G9,W3,D2,L1,V0,M1} P(3902,1561);d(373);q { ! xr ==>
% 30.94/31.32 sz00 }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqrefl: (47949) {G0,W9,D3,L3,V0,M3} { sz00 ==> xr, ! aNaturalNumber0( xk )
% 30.94/31.32 , aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 parent0[2]: (47945) {G1,W12,D3,L4,V1,M4} { sz00 ==> xr, ! aNaturalNumber0
% 30.94/31.32 ( xk ), ! X = sdtsldt0( xk, xr ), aNaturalNumber0( X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := sdtsldt0( xk, xr )
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47950) {G1,W6,D3,L2,V0,M2} { ! aNaturalNumber0( xk ),
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 parent0[0]: (47948) {G9,W3,D2,L1,V0,M1} { ! sz00 ==> xr }.
% 30.94/31.32 parent1[0]: (47949) {G0,W9,D3,L3,V0,M3} { sz00 ==> xr, ! aNaturalNumber0(
% 30.94/31.32 xk ), aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 subsumption: (8775) {G10,W6,D3,L2,V0,M2} Q(8668);r(4234) { !
% 30.94/31.32 aNaturalNumber0( xk ), aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 parent0: (47950) {G1,W6,D3,L2,V0,M2} { ! aNaturalNumber0( xk ),
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 permutation0:
% 30.94/31.32 0 ==> 0
% 30.94/31.32 1 ==> 1
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47952) {G0,W14,D3,L5,V3,M5} { ! sdtasdt0( Y, Z ) = X, !
% 30.94/31.32 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ),
% 30.94/31.32 doDivides0( Y, X ) }.
% 30.94/31.32 parent0[3]: (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 30.94/31.32 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 30.94/31.32 doDivides0( X, Y ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := Y
% 30.94/31.32 Y := X
% 30.94/31.32 Z := Z
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 paramod: (47953) {G1,W18,D4,L5,V1,M5} { ! sdtasdt0( sdtsldt0( xn, xr ), xm
% 30.94/31.32 ) = X, ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ), !
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ), doDivides0( xp, X ) }.
% 30.94/31.32 parent0[0]: (109) {G0,W11,D4,L1,V0,M1} I { sdtasdt0( xp, sdtsldt0( xk, xr )
% 30.94/31.32 ) ==> sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 30.94/31.32 parent1[0; 2]: (47952) {G0,W14,D3,L5,V3,M5} { ! sdtasdt0( Y, Z ) = X, !
% 30.94/31.32 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ),
% 30.94/31.32 doDivides0( Y, X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 X := X
% 30.94/31.32 Y := xp
% 30.94/31.32 Z := sdtsldt0( xk, xr )
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47960) {G1,W16,D4,L4,V1,M4} { ! sdtasdt0( sdtsldt0( xn, xr )
% 30.94/31.32 , xm ) = X, ! aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xk, xr )
% 30.94/31.32 ), doDivides0( xp, X ) }.
% 30.94/31.32 parent0[1]: (47953) {G1,W18,D4,L5,V1,M5} { ! sdtasdt0( sdtsldt0( xn, xr )
% 30.94/31.32 , xm ) = X, ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ), !
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ), doDivides0( xp, X ) }.
% 30.94/31.32 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47961) {G1,W16,D4,L4,V1,M4} { ! X = sdtasdt0( sdtsldt0( xn, xr )
% 30.94/31.32 , xm ), ! aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xk, xr ) ),
% 30.94/31.32 doDivides0( xp, X ) }.
% 30.94/31.32 parent0[0]: (47960) {G1,W16,D4,L4,V1,M4} { ! sdtasdt0( sdtsldt0( xn, xr )
% 30.94/31.32 , xm ) = X, ! aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xk, xr )
% 30.94/31.32 ), doDivides0( xp, X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 subsumption: (14829) {G1,W16,D4,L4,V1,M4} P(109,54);r(83) { !
% 30.94/31.32 aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xk, xr ) ), ! X =
% 30.94/31.32 sdtasdt0( sdtsldt0( xn, xr ), xm ), doDivides0( xp, X ) }.
% 30.94/31.32 parent0: (47961) {G1,W16,D4,L4,V1,M4} { ! X = sdtasdt0( sdtsldt0( xn, xr )
% 30.94/31.32 , xm ), ! aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xk, xr ) ),
% 30.94/31.32 doDivides0( xp, X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32 permutation0:
% 30.94/31.32 0 ==> 2
% 30.94/31.32 1 ==> 0
% 30.94/31.32 2 ==> 1
% 30.94/31.32 3 ==> 3
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 paramod: (47965) {G1,W12,D4,L3,V0,M3} { aNaturalNumber0( sdtasdt0(
% 30.94/31.32 sdtsldt0( xn, xr ), xm ) ), ! aNaturalNumber0( xp ), ! aNaturalNumber0(
% 30.94/31.32 sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 parent0[0]: (109) {G0,W11,D4,L1,V0,M1} I { sdtasdt0( xp, sdtsldt0( xk, xr )
% 30.94/31.32 ) ==> sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 30.94/31.32 parent1[2; 1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 30.94/31.32 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 X := xp
% 30.94/31.32 Y := sdtsldt0( xk, xr )
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47966) {G1,W10,D4,L2,V0,M2} { aNaturalNumber0( sdtasdt0(
% 30.94/31.32 sdtsldt0( xn, xr ), xm ) ), ! aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 parent0[1]: (47965) {G1,W12,D4,L3,V0,M3} { aNaturalNumber0( sdtasdt0(
% 30.94/31.32 sdtsldt0( xn, xr ), xm ) ), ! aNaturalNumber0( xp ), ! aNaturalNumber0(
% 30.94/31.32 sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 subsumption: (14919) {G1,W10,D4,L2,V0,M2} P(109,5);r(83) { !
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ), aNaturalNumber0( sdtasdt0(
% 30.94/31.32 sdtsldt0( xn, xr ), xm ) ) }.
% 30.94/31.32 parent0: (47966) {G1,W10,D4,L2,V0,M2} { aNaturalNumber0( sdtasdt0(
% 30.94/31.32 sdtsldt0( xn, xr ), xm ) ), ! aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 permutation0:
% 30.94/31.32 0 ==> 1
% 30.94/31.32 1 ==> 0
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqswap: (47967) {G1,W16,D4,L4,V1,M4} { ! sdtasdt0( sdtsldt0( xn, xr ), xm
% 30.94/31.32 ) = X, ! aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xk, xr ) ),
% 30.94/31.32 doDivides0( xp, X ) }.
% 30.94/31.32 parent0[2]: (14829) {G1,W16,D4,L4,V1,M4} P(109,54);r(83) { !
% 30.94/31.32 aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xk, xr ) ), ! X =
% 30.94/31.32 sdtasdt0( sdtsldt0( xn, xr ), xm ), doDivides0( xp, X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := X
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 eqrefl: (47968) {G0,W17,D4,L3,V0,M3} { ! aNaturalNumber0( sdtasdt0(
% 30.94/31.32 sdtsldt0( xn, xr ), xm ) ), ! aNaturalNumber0( sdtsldt0( xk, xr ) ),
% 30.94/31.32 doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr ), xm ) ) }.
% 30.94/31.32 parent0[0]: (47967) {G1,W16,D4,L4,V1,M4} { ! sdtasdt0( sdtsldt0( xn, xr )
% 30.94/31.32 , xm ) = X, ! aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xk, xr )
% 30.94/31.32 ), doDivides0( xp, X ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 X := sdtasdt0( sdtsldt0( xn, xr ), xm )
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47969) {G1,W15,D4,L3,V0,M3} { ! aNaturalNumber0( sdtsldt0( xk
% 30.94/31.32 , xr ) ), doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr ), xm ) ), !
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 parent0[0]: (47968) {G0,W17,D4,L3,V0,M3} { ! aNaturalNumber0( sdtasdt0(
% 30.94/31.32 sdtsldt0( xn, xr ), xm ) ), ! aNaturalNumber0( sdtsldt0( xk, xr ) ),
% 30.94/31.32 doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr ), xm ) ) }.
% 30.94/31.32 parent1[1]: (14919) {G1,W10,D4,L2,V0,M2} P(109,5);r(83) { ! aNaturalNumber0
% 30.94/31.32 ( sdtsldt0( xk, xr ) ), aNaturalNumber0( sdtasdt0( sdtsldt0( xn, xr ), xm
% 30.94/31.32 ) ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 factor: (47970) {G1,W11,D4,L2,V0,M2} { ! aNaturalNumber0( sdtsldt0( xk, xr
% 30.94/31.32 ) ), doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr ), xm ) ) }.
% 30.94/31.32 parent0[0, 2]: (47969) {G1,W15,D4,L3,V0,M3} { ! aNaturalNumber0( sdtsldt0
% 30.94/31.32 ( xk, xr ) ), doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr ), xm ) ), !
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 subsumption: (14920) {G2,W11,D4,L2,V0,M2} Q(14829);r(14919) { !
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ), doDivides0( xp, sdtasdt0( sdtsldt0
% 30.94/31.32 ( xn, xr ), xm ) ) }.
% 30.94/31.32 parent0: (47970) {G1,W11,D4,L2,V0,M2} { ! aNaturalNumber0( sdtsldt0( xk,
% 30.94/31.32 xr ) ), doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr ), xm ) ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 permutation0:
% 30.94/31.32 0 ==> 0
% 30.94/31.32 1 ==> 1
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47971) {G1,W4,D3,L1,V0,M1} { ! aNaturalNumber0( sdtsldt0( xk
% 30.94/31.32 , xr ) ) }.
% 30.94/31.32 parent0[0]: (110) {G0,W7,D4,L1,V0,M1} I { ! doDivides0( xp, sdtasdt0(
% 30.94/31.32 sdtsldt0( xn, xr ), xm ) ) }.
% 30.94/31.32 parent1[1]: (14920) {G2,W11,D4,L2,V0,M2} Q(14829);r(14919) { !
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ), doDivides0( xp, sdtasdt0( sdtsldt0
% 30.94/31.32 ( xn, xr ), xm ) ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 substitution1:
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 subsumption: (20655) {G3,W4,D3,L1,V0,M1} S(14920);r(110) { !
% 30.94/31.32 aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 30.94/31.32 parent0: (47971) {G1,W4,D3,L1,V0,M1} { ! aNaturalNumber0( sdtsldt0( xk, xr
% 30.94/31.32 ) ) }.
% 30.94/31.32 substitution0:
% 30.94/31.32 end
% 30.94/31.32 permutation0:
% 30.94/31.32 0 ==> 0
% 30.94/31.32 end
% 30.94/31.32
% 30.94/31.32 resolution: (47976) {G2,W9,D3,L3,V1,M3} { ! aNaturalNumber0( sdtasdt0( xn
% 30.94/31.32 , xm ) ), aNaturalNumber0( X ), ! X = xk }.
% 30.94/31.32 parent0[0]: (1977Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------