TSTP Solution File: NUM504+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM504+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:22:59 EDT 2022
% Result : Theorem 29.24s 29.63s
% Output : Refutation 29.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM504+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Wed Jul 6 20:13:43 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.41/1.07 *** allocated 10000 integers for termspace/termends
% 0.41/1.07 *** allocated 10000 integers for clauses
% 0.41/1.07 *** allocated 10000 integers for justifications
% 0.41/1.07 Bliksem 1.12
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Automatic Strategy Selection
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Clauses:
% 0.41/1.07
% 0.41/1.07 { && }.
% 0.41/1.07 { aNaturalNumber0( sz00 ) }.
% 0.41/1.07 { aNaturalNumber0( sz10 ) }.
% 0.41/1.07 { ! sz10 = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.41/1.07 ( X, Y ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.41/1.07 ( X, Y ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.41/1.07 sdtpldt0( Y, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.07 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.41/1.07 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.41/1.07 sdtasdt0( Y, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.07 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.41/1.07 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.07 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.41/1.07 , Z ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.07 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.41/1.07 , X ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.07 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.07 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.41/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.41/1.07 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.41/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.41/1.07 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.41/1.07 , X = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.41/1.07 , Y = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.41/1.07 , X = sz00, Y = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.41/1.07 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.41/1.07 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.07 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.41/1.07 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.41/1.07 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.41/1.07 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.41/1.07 sdtlseqdt0( Y, X ), X = Y }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.07 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.41/1.07 X }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.41/1.07 sdtlseqdt0( Y, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.41/1.07 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.41/1.07 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.41/1.07 ) ) }.
% 0.41/1.07 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.41/1.07 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.41/1.07 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 1.01/1.42 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 1.01/1.42 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 1.01/1.42 ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.01/1.42 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.01/1.42 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 1.01/1.42 sdtasdt0( Z, X ) ) }.
% 1.01/1.42 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 1.01/1.42 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 1.01/1.42 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 1.01/1.42 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 1.01/1.42 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 1.01/1.42 ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 1.01/1.42 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 1.01/1.42 sdtasdt0( Y, X ) ) }.
% 1.01/1.42 { && }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.01/1.42 ), iLess0( X, Y ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 1.01/1.42 aNaturalNumber0( skol2( Z, T ) ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.01/1.42 sdtasdt0( X, skol2( X, Y ) ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.01/1.42 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.01/1.42 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.01/1.42 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.01/1.42 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 1.01/1.42 ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.01/1.42 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.01/1.42 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 1.01/1.42 ) ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.01/1.42 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 1.01/1.42 Z ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.01/1.42 sz00, sdtlseqdt0( X, Y ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.01/1.42 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 1.01/1.42 ( sdtasdt0( Z, Y ), X ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 1.01/1.42 { ! alpha1( X ), ! X = sz10 }.
% 1.01/1.42 { ! alpha1( X ), alpha2( X ) }.
% 1.01/1.42 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 1.01/1.42 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 1.01/1.42 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 1.01/1.42 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 1.01/1.42 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 1.01/1.42 { ! Y = sz10, alpha4( X, Y ) }.
% 1.01/1.42 { ! Y = X, alpha4( X, Y ) }.
% 1.01/1.42 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 1.01/1.42 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 1.01/1.42 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 1.01/1.42 }.
% 1.01/1.42 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 1.01/1.42 .
% 1.01/1.42 { aNaturalNumber0( xn ) }.
% 1.01/1.42 { aNaturalNumber0( xm ) }.
% 1.01/1.42 { aNaturalNumber0( xp ) }.
% 1.01/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.01/1.42 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 1.01/1.42 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), doDivides0(
% 1.01/1.42 Z, X ), doDivides0( Z, Y ) }.
% 1.01/1.42 { isPrime0( xp ) }.
% 1.01/1.42 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 1.01/1.42 { ! sdtlseqdt0( xp, xn ) }.
% 1.01/1.42 { ! sdtlseqdt0( xp, xm ) }.
% 1.01/1.42 { ! xn = xp }.
% 1.01/1.42 { sdtlseqdt0( xn, xp ) }.
% 29.24/29.63 { ! xm = xp }.
% 29.24/29.63 { sdtlseqdt0( xm, xp ) }.
% 29.24/29.63 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 29.24/29.63 { ! xk = sz00 }.
% 29.24/29.63 { ! xk = sz10 }.
% 29.24/29.63 { ! xk = sz00 }.
% 29.24/29.63 { ! xk = sz10 }.
% 29.24/29.63 { aNaturalNumber0( xr ) }.
% 29.24/29.63 { doDivides0( xr, xk ) }.
% 29.24/29.63 { isPrime0( xr ) }.
% 29.24/29.63 { sdtlseqdt0( xr, xk ) }.
% 29.24/29.63 { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 29.24/29.63 { sdtlseqdt0( xp, xk ) }.
% 29.24/29.63 { ! sdtasdt0( xn, xm ) = sdtasdt0( xp, xm ) }.
% 29.24/29.63 { sdtlseqdt0( sdtasdt0( xn, xm ), sdtasdt0( xp, xm ) ) }.
% 29.24/29.63 { ! sdtasdt0( xp, xm ) = sdtasdt0( xp, xk ) }.
% 29.24/29.63 { sdtlseqdt0( sdtasdt0( xp, xm ), sdtasdt0( xp, xk ) ) }.
% 29.24/29.63 { ! || }.
% 29.24/29.63
% 29.24/29.63 percentage equality = 0.279762, percentage horn = 0.747664
% 29.24/29.63 This is a problem with some equality
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Options Used:
% 29.24/29.63
% 29.24/29.63 useres = 1
% 29.24/29.63 useparamod = 1
% 29.24/29.63 useeqrefl = 1
% 29.24/29.63 useeqfact = 1
% 29.24/29.63 usefactor = 1
% 29.24/29.63 usesimpsplitting = 0
% 29.24/29.63 usesimpdemod = 5
% 29.24/29.63 usesimpres = 3
% 29.24/29.63
% 29.24/29.63 resimpinuse = 1000
% 29.24/29.63 resimpclauses = 20000
% 29.24/29.63 substype = eqrewr
% 29.24/29.63 backwardsubs = 1
% 29.24/29.63 selectoldest = 5
% 29.24/29.63
% 29.24/29.63 litorderings [0] = split
% 29.24/29.63 litorderings [1] = extend the termordering, first sorting on arguments
% 29.24/29.63
% 29.24/29.63 termordering = kbo
% 29.24/29.63
% 29.24/29.63 litapriori = 0
% 29.24/29.63 termapriori = 1
% 29.24/29.63 litaposteriori = 0
% 29.24/29.63 termaposteriori = 0
% 29.24/29.63 demodaposteriori = 0
% 29.24/29.63 ordereqreflfact = 0
% 29.24/29.63
% 29.24/29.63 litselect = negord
% 29.24/29.63
% 29.24/29.63 maxweight = 15
% 29.24/29.63 maxdepth = 30000
% 29.24/29.63 maxlength = 115
% 29.24/29.63 maxnrvars = 195
% 29.24/29.63 excuselevel = 1
% 29.24/29.63 increasemaxweight = 1
% 29.24/29.63
% 29.24/29.63 maxselected = 10000000
% 29.24/29.63 maxnrclauses = 10000000
% 29.24/29.63
% 29.24/29.63 showgenerated = 0
% 29.24/29.63 showkept = 0
% 29.24/29.63 showselected = 0
% 29.24/29.63 showdeleted = 0
% 29.24/29.63 showresimp = 1
% 29.24/29.63 showstatus = 2000
% 29.24/29.63
% 29.24/29.63 prologoutput = 0
% 29.24/29.63 nrgoals = 5000000
% 29.24/29.63 totalproof = 1
% 29.24/29.63
% 29.24/29.63 Symbols occurring in the translation:
% 29.24/29.63
% 29.24/29.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 29.24/29.63 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 29.24/29.63 || [2, 0] (w:1, o:3, a:1, s:1, b:0),
% 29.24/29.63 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 29.24/29.63 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 29.24/29.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 29.24/29.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 29.24/29.63 aNaturalNumber0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 29.24/29.63 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 29.24/29.63 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 29.24/29.63 sdtpldt0 [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 29.24/29.63 sdtasdt0 [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 29.24/29.63 sdtlseqdt0 [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 29.24/29.63 sdtmndt0 [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 29.24/29.63 iLess0 [45, 2] (w:1, o:55, a:1, s:1, b:0),
% 29.24/29.63 doDivides0 [46, 2] (w:1, o:56, a:1, s:1, b:0),
% 29.24/29.63 sdtsldt0 [47, 2] (w:1, o:57, a:1, s:1, b:0),
% 29.24/29.63 isPrime0 [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 29.24/29.63 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 29.24/29.63 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 29.24/29.63 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 29.24/29.63 xk [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 29.24/29.63 xr [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 29.24/29.63 alpha1 [54, 1] (w:1, o:23, a:1, s:1, b:1),
% 29.24/29.63 alpha2 [55, 1] (w:1, o:24, a:1, s:1, b:1),
% 29.24/29.63 alpha3 [56, 2] (w:1, o:58, a:1, s:1, b:1),
% 29.24/29.63 alpha4 [57, 2] (w:1, o:59, a:1, s:1, b:1),
% 29.24/29.63 alpha5 [58, 3] (w:1, o:62, a:1, s:1, b:1),
% 29.24/29.63 alpha6 [59, 3] (w:1, o:63, a:1, s:1, b:1),
% 29.24/29.63 skol1 [60, 2] (w:1, o:60, a:1, s:1, b:1),
% 29.24/29.63 skol2 [61, 2] (w:1, o:61, a:1, s:1, b:1),
% 29.24/29.63 skol3 [62, 1] (w:1, o:25, a:1, s:1, b:1),
% 29.24/29.63 skol4 [63, 1] (w:1, o:26, a:1, s:1, b:1).
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Starting Search:
% 29.24/29.63
% 29.24/29.63 *** allocated 15000 integers for clauses
% 29.24/29.63 *** allocated 22500 integers for clauses
% 29.24/29.63 *** allocated 33750 integers for clauses
% 29.24/29.63 *** allocated 15000 integers for termspace/termends
% 29.24/29.63 *** allocated 50625 integers for clauses
% 29.24/29.63 *** allocated 75937 integers for clauses
% 29.24/29.63 *** allocated 22500 integers for termspace/termends
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 *** allocated 33750 integers for termspace/termends
% 29.24/29.63 *** allocated 113905 integers for clauses
% 29.24/29.63 *** allocated 50625 integers for termspace/termends
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 12210
% 29.24/29.63 Kept: 2007
% 29.24/29.63 Inuse: 135
% 29.24/29.63 Deleted: 3
% 29.24/29.63 Deletedinuse: 0
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 *** allocated 170857 integers for clauses
% 29.24/29.63 *** allocated 75937 integers for termspace/termends
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 *** allocated 256285 integers for clauses
% 29.24/29.63 *** allocated 113905 integers for termspace/termends
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 24576
% 29.24/29.63 Kept: 4062
% 29.24/29.63 Inuse: 177
% 29.24/29.63 Deleted: 8
% 29.24/29.63 Deletedinuse: 4
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 *** allocated 170857 integers for termspace/termends
% 29.24/29.63 *** allocated 384427 integers for clauses
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 43487
% 29.24/29.63 Kept: 6144
% 29.24/29.63 Inuse: 220
% 29.24/29.63 Deleted: 13
% 29.24/29.63 Deletedinuse: 7
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 56792
% 29.24/29.63 Kept: 8241
% 29.24/29.63 Inuse: 258
% 29.24/29.63 Deleted: 20
% 29.24/29.63 Deletedinuse: 12
% 29.24/29.63
% 29.24/29.63 *** allocated 256285 integers for termspace/termends
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 *** allocated 576640 integers for clauses
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 79506
% 29.24/29.63 Kept: 10280
% 29.24/29.63 Inuse: 293
% 29.24/29.63 Deleted: 31
% 29.24/29.63 Deletedinuse: 18
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 89325
% 29.24/29.63 Kept: 12340
% 29.24/29.63 Inuse: 335
% 29.24/29.63 Deleted: 40
% 29.24/29.63 Deletedinuse: 24
% 29.24/29.63
% 29.24/29.63 *** allocated 384427 integers for termspace/termends
% 29.24/29.63 *** allocated 864960 integers for clauses
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 107150
% 29.24/29.63 Kept: 14459
% 29.24/29.63 Inuse: 370
% 29.24/29.63 Deleted: 40
% 29.24/29.63 Deletedinuse: 24
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 119031
% 29.24/29.63 Kept: 16462
% 29.24/29.63 Inuse: 457
% 29.24/29.63 Deleted: 44
% 29.24/29.63 Deletedinuse: 25
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 140071
% 29.24/29.63 Kept: 18481
% 29.24/29.63 Inuse: 521
% 29.24/29.63 Deleted: 52
% 29.24/29.63 Deletedinuse: 25
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 *** allocated 1297440 integers for clauses
% 29.24/29.63 *** allocated 576640 integers for termspace/termends
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 157574
% 29.24/29.63 Kept: 20524
% 29.24/29.63 Inuse: 611
% 29.24/29.63 Deleted: 67
% 29.24/29.63 Deletedinuse: 32
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying clauses:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 163647
% 29.24/29.63 Kept: 22711
% 29.24/29.63 Inuse: 616
% 29.24/29.63 Deleted: 5470
% 29.24/29.63 Deletedinuse: 52
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 197686
% 29.24/29.63 Kept: 24738
% 29.24/29.63 Inuse: 690
% 29.24/29.63 Deleted: 5473
% 29.24/29.63 Deletedinuse: 55
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 227500
% 29.24/29.63 Kept: 26753
% 29.24/29.63 Inuse: 760
% 29.24/29.63 Deleted: 5473
% 29.24/29.63 Deletedinuse: 55
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 241142
% 29.24/29.63 Kept: 28788
% 29.24/29.63 Inuse: 793
% 29.24/29.63 Deleted: 5473
% 29.24/29.63 Deletedinuse: 55
% 29.24/29.63
% 29.24/29.63 *** allocated 1946160 integers for clauses
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 254548
% 29.24/29.63 Kept: 30790
% 29.24/29.63 Inuse: 831
% 29.24/29.63 Deleted: 5473
% 29.24/29.63 Deletedinuse: 55
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 265188
% 29.24/29.63 Kept: 33289
% 29.24/29.63 Inuse: 856
% 29.24/29.63 Deleted: 5473
% 29.24/29.63 Deletedinuse: 55
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 *** allocated 864960 integers for termspace/termends
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 273559
% 29.24/29.63 Kept: 35344
% 29.24/29.63 Inuse: 874
% 29.24/29.63 Deleted: 5473
% 29.24/29.63 Deletedinuse: 55
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 282031
% 29.24/29.63 Kept: 37505
% 29.24/29.63 Inuse: 896
% 29.24/29.63 Deleted: 5473
% 29.24/29.63 Deletedinuse: 55
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 297896
% 29.24/29.63 Kept: 39628
% 29.24/29.63 Inuse: 936
% 29.24/29.63 Deleted: 5473
% 29.24/29.63 Deletedinuse: 55
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 *** allocated 2919240 integers for clauses
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 319239
% 29.24/29.63 Kept: 41738
% 29.24/29.63 Inuse: 991
% 29.24/29.63 Deleted: 5473
% 29.24/29.63 Deletedinuse: 55
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63 Resimplifying clauses:
% 29.24/29.63 Done
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Intermediate Status:
% 29.24/29.63 Generated: 326374
% 29.24/29.63 Kept: 43776
% 29.24/29.63 Inuse: 994
% 29.24/29.63 Deleted: 11633
% 29.24/29.63 Deletedinuse: 95
% 29.24/29.63
% 29.24/29.63 Resimplifying inuse:
% 29.24/29.63
% 29.24/29.63 Bliksems!, er is een bewijs:
% 29.24/29.63 % SZS status Theorem
% 29.24/29.63 % SZS output start Refutation
% 29.24/29.63
% 29.24/29.63 (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 29.24/29.63 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 29.24/29.63 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 29.24/29.63 (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) ==>
% 29.24/29.63 X }.
% 29.24/29.63 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 29.24/29.63 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.24/29.63 sdtasdt0( X, Z ), Y = Z }.
% 29.24/29.63 (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 29.24/29.63 ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 29.24/29.63 (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 29.24/29.63 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 29.24/29.63 (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 29.24/29.63 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 29.24/29.63 ( X, Z ) }.
% 29.24/29.63 (63) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X =
% 29.24/29.63 sz00 }.
% 29.24/29.63 (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 29.24/29.63 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 29.24/29.63 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 29.24/29.63 (85) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 29.24/29.63 (86) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 29.24/29.63 (93) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtasdt0( xn, xm ), xp ) ==> xk }.
% 29.24/29.63 (102) {G0,W7,D3,L1,V0,M1} I { ! sdtasdt0( xp, xm ) ==> sdtasdt0( xn, xm )
% 29.24/29.63 }.
% 29.24/29.63 (103) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtasdt0( xn, xm ), sdtasdt0( xp
% 29.24/29.63 , xm ) ) }.
% 29.24/29.63 (105) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtasdt0( xp, xm ), sdtasdt0( xp
% 29.24/29.63 , xk ) ) }.
% 29.24/29.63 (235) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 29.24/29.63 (264) {G1,W6,D3,L2,V1,M2} R(5,81) { ! aNaturalNumber0( X ), aNaturalNumber0
% 29.24/29.63 ( sdtasdt0( xn, X ) ) }.
% 29.24/29.63 (267) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ), aNaturalNumber0
% 29.24/29.63 ( sdtasdt0( X, xm ) ) }.
% 29.24/29.63 (370) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==> sz00 }.
% 29.24/29.63 (1004) {G1,W17,D3,L5,V2,M5} R(20,83) { ! aNaturalNumber0( X ), X = sz00, !
% 29.24/29.63 aNaturalNumber0( Y ), ! sdtasdt0( X, xp ) = sdtasdt0( X, Y ), xp = Y }.
% 29.24/29.63 (1139) {G2,W15,D3,L4,V1,M4} E(1004);f { ! xp ==> sz00, ! aNaturalNumber0( X
% 29.24/29.63 ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X ) }.
% 29.24/29.63 (1142) {G3,W6,D2,L2,V0,M2} Q(1139);r(83) { ! xp ==> sz00, xp ==> sz00 }.
% 29.24/29.63 (1459) {G2,W9,D3,L3,V1,M3} P(22,85);r(235) { ! aNaturalNumber0( xp ), !
% 29.24/29.63 aNaturalNumber0( X ), ! sdtpldt0( xp, X ) ==> sz00 }.
% 29.24/29.63 (1462) {G3,W5,D3,L1,V0,M1} F(1459);r(83) { ! sdtpldt0( xp, xp ) ==> sz00
% 29.24/29.63 }.
% 29.24/29.63 (1799) {G4,W3,D2,L1,V0,M1} P(1142,1462);d(370);q { ! xp ==> sz00 }.
% 29.24/29.63 (8689) {G1,W17,D3,L4,V1,M4} R(56,86);d(93);r(83) { ! aNaturalNumber0(
% 29.24/29.63 sdtasdt0( xn, xm ) ), xp ==> sz00, sdtasdt0( xn, xm ) = sdtasdt0( xp, X )
% 29.24/29.63 , ! X = xk }.
% 29.24/29.63 (8939) {G5,W11,D3,L2,V0,M2} Q(8689);r(1799) { ! aNaturalNumber0( sdtasdt0(
% 29.24/29.63 xn, xm ) ), sdtasdt0( xp, xk ) ==> sdtasdt0( xn, xm ) }.
% 29.24/29.63 (14218) {G1,W21,D3,L5,V1,M5} P(32,102) { ! X = sdtasdt0( xn, xm ), !
% 29.24/29.63 aNaturalNumber0( sdtasdt0( xp, xm ) ), ! aNaturalNumber0( X ), !
% 29.24/29.63 sdtlseqdt0( sdtasdt0( xp, xm ), X ), ! sdtlseqdt0( X, sdtasdt0( xp, xm )
% 29.24/29.63 ) }.
% 29.24/29.63 (14250) {G2,W15,D3,L3,V0,M3} Q(14218);r(103) { ! aNaturalNumber0( sdtasdt0
% 29.24/29.63 ( xp, xm ) ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ), ! sdtlseqdt0(
% 29.24/29.63 sdtasdt0( xp, xm ), sdtasdt0( xn, xm ) ) }.
% 29.24/29.63 (34926) {G2,W4,D3,L1,V0,M1} R(264,82) { aNaturalNumber0( sdtasdt0( xn, xm )
% 29.24/29.63 ) }.
% 29.24/29.63 (36542) {G2,W4,D3,L1,V0,M1} R(267,83) { aNaturalNumber0( sdtasdt0( xp, xm )
% 29.24/29.63 ) }.
% 29.24/29.63 (43478) {G3,W7,D3,L1,V0,M1} S(14250);r(36542);r(34926) { ! sdtlseqdt0(
% 29.24/29.63 sdtasdt0( xp, xm ), sdtasdt0( xn, xm ) ) }.
% 29.24/29.63 (43568) {G6,W7,D3,L1,V0,M1} S(8939);r(34926) { sdtasdt0( xp, xk ) ==>
% 29.24/29.63 sdtasdt0( xn, xm ) }.
% 29.24/29.63 (43776) {G7,W0,D0,L0,V0,M0} S(105);d(43568);r(43478) { }.
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 % SZS output end Refutation
% 29.24/29.63 found a proof!
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Unprocessed initial clauses:
% 29.24/29.63
% 29.24/29.63 (43778) {G0,W1,D1,L1,V0,M1} { && }.
% 29.24/29.63 (43779) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 29.24/29.63 (43780) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 29.24/29.63 (43781) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 29.24/29.63 (43782) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 29.24/29.63 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 29.24/29.63 (43783) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 29.24/29.63 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 29.24/29.63 (43784) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 29.24/29.63 (43785) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 29.24/29.63 X, sdtpldt0( Y, Z ) ) }.
% 29.24/29.63 (43786) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 29.24/29.63 = X }.
% 29.24/29.63 (43787) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 29.24/29.63 X ) }.
% 29.24/29.63 (43788) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 29.24/29.63 (43789) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 29.24/29.63 X, sdtasdt0( Y, Z ) ) }.
% 29.24/29.63 (43790) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 29.24/29.63 = X }.
% 29.24/29.63 (43791) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 29.24/29.63 X ) }.
% 29.24/29.63 (43792) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 29.24/29.63 = sz00 }.
% 29.24/29.63 (43793) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 29.24/29.63 sz00, X ) }.
% 29.24/29.63 (43794) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 29.24/29.63 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 29.24/29.63 (43795) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 29.24/29.63 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 29.24/29.63 (43796) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 29.24/29.63 }.
% 29.24/29.63 (43797) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 29.24/29.63 }.
% 29.24/29.63 (43798) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 29.24/29.63 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.24/29.63 sdtasdt0( X, Z ), Y = Z }.
% 29.24/29.63 (43799) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 29.24/29.63 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 29.24/29.63 sdtasdt0( Z, X ), Y = Z }.
% 29.24/29.63 (43800) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 29.24/29.63 (43801) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 29.24/29.63 (43802) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 29.24/29.63 (43803) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 29.24/29.63 (43804) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 29.24/29.63 (43805) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 29.24/29.63 }.
% 29.24/29.63 (43806) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 29.24/29.63 }.
% 29.24/29.63 (43807) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 29.24/29.63 }.
% 29.24/29.63 (43808) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 29.24/29.63 , Z = sdtmndt0( Y, X ) }.
% 29.24/29.63 (43809) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 29.24/29.63 }.
% 29.24/29.63 (43810) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 29.24/29.63 (43811) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 29.24/29.63 sdtlseqdt0( X, Z ) }.
% 29.24/29.63 (43812) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 29.24/29.63 (43813) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 29.24/29.63 (43814) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 29.24/29.63 ) }.
% 29.24/29.63 (43815) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 29.24/29.63 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 29.24/29.63 (43816) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 29.24/29.63 sdtpldt0( Z, Y ) }.
% 29.24/29.63 (43817) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 29.24/29.63 Z, X ), sdtpldt0( Z, Y ) ) }.
% 29.24/29.63 (43818) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 29.24/29.63 sdtpldt0( Y, Z ) }.
% 29.24/29.63 (43819) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 29.24/29.63 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 29.24/29.63 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 29.24/29.63 (43820) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 29.24/29.63 alpha6( X, Y, Z ) }.
% 29.24/29.63 (43821) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 29.24/29.63 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 29.24/29.63 (43822) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 29.24/29.63 sdtasdt0( X, Z ) }.
% 29.24/29.63 (43823) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 29.24/29.63 X, Y ), sdtasdt0( X, Z ) ) }.
% 29.24/29.63 (43824) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 29.24/29.63 sdtasdt0( Z, X ) }.
% 29.24/29.63 (43825) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 29.24/29.63 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 29.24/29.63 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 29.24/29.63 (43826) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 29.24/29.63 , ! sz10 = X }.
% 29.24/29.63 (43827) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 29.24/29.63 , sdtlseqdt0( sz10, X ) }.
% 29.24/29.63 (43828) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 29.24/29.63 (43829) {G0,W1,D1,L1,V0,M1} { && }.
% 29.24/29.63 (43830) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 29.24/29.63 (43831) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 29.24/29.63 (43832) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 29.24/29.63 (43833) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 29.24/29.63 }.
% 29.24/29.63 (43834) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 29.24/29.63 aNaturalNumber0( Z ) }.
% 29.24/29.63 (43835) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 29.24/29.63 ( X, Z ) }.
% 29.24/29.63 (43836) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 29.24/29.63 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 29.24/29.63 (43837) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 29.24/29.63 doDivides0( X, Z ) }.
% 29.24/29.63 (43838) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 29.24/29.63 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 29.24/29.63 (43839) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 29.24/29.63 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 29.24/29.63 (43840) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 29.24/29.63 (43841) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 29.24/29.63 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 29.24/29.63 (43842) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 29.24/29.63 = sz00 }.
% 29.24/29.63 (43843) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 29.24/29.63 alpha1( X ) }.
% 29.24/29.63 (43844) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 29.24/29.63 X ), isPrime0( X ) }.
% 29.24/29.63 (43845) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 29.24/29.63 (43846) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 29.24/29.63 (43847) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 29.24/29.63 (43848) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 29.24/29.63 Y ) }.
% 29.24/29.63 (43849) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 29.24/29.63 (43850) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 29.24/29.63 (43851) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 29.24/29.63 (43852) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 29.24/29.63 (43853) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 29.24/29.63 (43854) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 29.24/29.63 (43855) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 29.24/29.63 (43856) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 29.24/29.63 , alpha3( X, Y ) }.
% 29.24/29.63 (43857) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 29.24/29.63 , aNaturalNumber0( skol4( Y ) ) }.
% 29.24/29.63 (43858) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 29.24/29.63 , isPrime0( skol4( Y ) ) }.
% 29.24/29.63 (43859) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 29.24/29.63 , doDivides0( skol4( X ), X ) }.
% 29.24/29.63 (43860) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 29.24/29.63 (43861) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 29.24/29.63 (43862) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 29.24/29.63 (43863) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.24/29.63 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 29.24/29.63 X, Y ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0(
% 29.24/29.63 xn, xm ), xp ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 29.24/29.63 (43864) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 29.24/29.63 (43865) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 29.24/29.63 (43866) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 29.24/29.63 (43867) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 29.24/29.63 (43868) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 29.24/29.63 (43869) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 29.24/29.63 (43870) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 29.24/29.63 (43871) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 29.24/29.63 (43872) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 29.24/29.63 (43873) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 29.24/29.63 (43874) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 29.24/29.63 (43875) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 29.24/29.63 (43876) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 29.24/29.63 (43877) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 29.24/29.63 (43878) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xk ) }.
% 29.24/29.63 (43879) {G0,W2,D2,L1,V0,M1} { isPrime0( xr ) }.
% 29.24/29.63 (43880) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xr, xk ) }.
% 29.24/29.63 (43881) {G0,W5,D3,L1,V0,M1} { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 29.24/29.63 (43882) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xk ) }.
% 29.24/29.63 (43883) {G0,W7,D3,L1,V0,M1} { ! sdtasdt0( xn, xm ) = sdtasdt0( xp, xm )
% 29.24/29.63 }.
% 29.24/29.63 (43884) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xn, xm ), sdtasdt0( xp
% 29.24/29.63 , xm ) ) }.
% 29.24/29.63 (43885) {G0,W7,D3,L1,V0,M1} { ! sdtasdt0( xp, xm ) = sdtasdt0( xp, xk )
% 29.24/29.63 }.
% 29.24/29.63 (43886) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xp, xm ), sdtasdt0( xp
% 29.24/29.63 , xk ) ) }.
% 29.24/29.63 (43887) {G0,W1,D1,L1,V0,M1} { ! || }.
% 29.24/29.63
% 29.24/29.63
% 29.24/29.63 Total Proof:
% 29.24/29.63
% 29.24/29.63 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 29.24/29.63 parent0: (43779) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 29.24/29.63 substitution0:
% 29.24/29.63 end
% 29.24/29.63 permutation0:
% 29.24/29.63 0 ==> 0
% 29.24/29.63 end
% 29.24/29.63
% 29.24/29.63 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 29.24/29.63 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 29.24/29.63 parent0: (43783) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 29.24/29.63 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 29.24/29.63 substitution0:
% 29.24/29.63 X := X
% 29.24/29.63 Y := Y
% 29.24/29.63 end
% 29.24/29.63 permutation0:
% 29.24/29.63 0 ==> 0
% 29.24/29.63 1 ==> 1
% 29.24/29.63 2 ==> 2
% 29.24/29.63 end
% 29.24/29.63
% 29.24/29.63 subsumption: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 29.24/29.63 X, sz00 ) ==> X }.
% 29.24/29.63 parent0: (43786) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X
% 29.24/29.63 , sz00 ) = X }.
% 29.24/29.63 substitution0:
% 29.24/29.63 X := X
% 29.24/29.63 end
% 29.24/29.63 permutation0:
% 29.24/29.63 0 ==> 0
% 29.24/29.63 1 ==> 1
% 29.24/29.63 end
% 29.24/29.65
% 29.24/29.65 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 29.24/29.65 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.24/29.65 sdtasdt0( X, Z ), Y = Z }.
% 29.24/29.65 parent0: (43798) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00,
% 29.24/29.65 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.24/29.65 sdtasdt0( X, Z ), Y = Z }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := Y
% 29.24/29.65 Z := Z
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 1 ==> 1
% 29.24/29.65 2 ==> 2
% 29.24/29.65 3 ==> 3
% 29.24/29.65 4 ==> 4
% 29.24/29.65 5 ==> 5
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 29.24/29.65 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 29.24/29.65 parent0: (43800) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 29.24/29.65 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := Y
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 1 ==> 1
% 29.24/29.65 2 ==> 2
% 29.24/29.65 3 ==> 3
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), !
% 29.24/29.65 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 29.24/29.65 }.
% 29.24/29.65 parent0: (43810) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 29.24/29.65 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 29.24/29.65 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := Y
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 1 ==> 1
% 29.24/29.65 2 ==> 2
% 29.24/29.65 3 ==> 3
% 29.24/29.65 4 ==> 4
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 29.24/29.65 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 29.24/29.65 X ), Y = sdtasdt0( X, Z ) }.
% 29.24/29.65 parent0: (43835) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 29.24/29.65 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 29.24/29.65 X ), Y = sdtasdt0( X, Z ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := Y
% 29.24/29.65 Z := Z
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 1 ==> 1
% 29.24/29.65 2 ==> 2
% 29.24/29.65 3 ==> 3
% 29.24/29.65 4 ==> 4
% 29.24/29.65 5 ==> 5
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (63) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), !
% 29.24/29.65 isPrime0( X ), ! X = sz00 }.
% 29.24/29.65 parent0: (43842) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0
% 29.24/29.65 ( X ), ! X = sz00 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 1 ==> 1
% 29.24/29.65 2 ==> 2
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 29.24/29.65 parent0: (43860) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 29.24/29.65 parent0: (43861) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 29.24/29.65 parent0: (43862) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (85) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 29.24/29.65 parent0: (43864) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (86) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xm
% 29.24/29.65 ) ) }.
% 29.24/29.65 parent0: (43865) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm )
% 29.24/29.65 ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (47559) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtasdt0( xn, xm ), xp ) =
% 29.24/29.65 xk }.
% 29.24/29.65 parent0[0]: (43872) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm
% 29.24/29.65 ), xp ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (93) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtasdt0( xn, xm ), xp
% 29.24/29.65 ) ==> xk }.
% 29.24/29.65 parent0: (47559) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtasdt0( xn, xm ), xp )
% 29.24/29.65 = xk }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (47993) {G0,W7,D3,L1,V0,M1} { ! sdtasdt0( xp, xm ) = sdtasdt0( xn
% 29.24/29.65 , xm ) }.
% 29.24/29.65 parent0[0]: (43883) {G0,W7,D3,L1,V0,M1} { ! sdtasdt0( xn, xm ) = sdtasdt0
% 29.24/29.65 ( xp, xm ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (102) {G0,W7,D3,L1,V0,M1} I { ! sdtasdt0( xp, xm ) ==>
% 29.24/29.65 sdtasdt0( xn, xm ) }.
% 29.24/29.65 parent0: (47993) {G0,W7,D3,L1,V0,M1} { ! sdtasdt0( xp, xm ) = sdtasdt0( xn
% 29.24/29.65 , xm ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (103) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtasdt0( xn, xm ),
% 29.24/29.65 sdtasdt0( xp, xm ) ) }.
% 29.24/29.65 parent0: (43884) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xn, xm ),
% 29.24/29.65 sdtasdt0( xp, xm ) ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (105) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtasdt0( xp, xm ),
% 29.24/29.65 sdtasdt0( xp, xk ) ) }.
% 29.24/29.65 parent0: (43886) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xp, xm ),
% 29.24/29.65 sdtasdt0( xp, xk ) ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48863) {G0,W7,D2,L3,V1,M3} { ! sz00 = X, ! aNaturalNumber0( X ),
% 29.24/29.65 ! isPrime0( X ) }.
% 29.24/29.65 parent0[2]: (63) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), ! isPrime0
% 29.24/29.65 ( X ), ! X = sz00 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqrefl: (48864) {G0,W4,D2,L2,V0,M2} { ! aNaturalNumber0( sz00 ), !
% 29.24/29.65 isPrime0( sz00 ) }.
% 29.24/29.65 parent0[0]: (48863) {G0,W7,D2,L3,V1,M3} { ! sz00 = X, ! aNaturalNumber0( X
% 29.24/29.65 ), ! isPrime0( X ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := sz00
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 resolution: (48865) {G1,W2,D2,L1,V0,M1} { ! isPrime0( sz00 ) }.
% 29.24/29.65 parent0[0]: (48864) {G0,W4,D2,L2,V0,M2} { ! aNaturalNumber0( sz00 ), !
% 29.24/29.65 isPrime0( sz00 ) }.
% 29.24/29.65 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 substitution1:
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (235) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 29.24/29.65 parent0: (48865) {G1,W2,D2,L1,V0,M1} { ! isPrime0( sz00 ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 resolution: (48866) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 29.24/29.65 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 29.24/29.65 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 29.24/29.65 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 29.24/29.65 parent1[0]: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := xn
% 29.24/29.65 Y := X
% 29.24/29.65 end
% 29.24/29.65 substitution1:
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (264) {G1,W6,D3,L2,V1,M2} R(5,81) { ! aNaturalNumber0( X ),
% 29.24/29.65 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 29.24/29.65 parent0: (48866) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 29.24/29.65 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 1 ==> 1
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 resolution: (48869) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 29.24/29.65 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 29.24/29.65 parent0[1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 29.24/29.65 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 29.24/29.65 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := xm
% 29.24/29.65 end
% 29.24/29.65 substitution1:
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (267) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 29.24/29.65 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 29.24/29.65 parent0: (48869) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 29.24/29.65 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 1 ==> 1
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48870) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( X, sz00 ), !
% 29.24/29.65 aNaturalNumber0( X ) }.
% 29.24/29.65 parent0[1]: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X
% 29.24/29.65 , sz00 ) ==> X }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 resolution: (48871) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtpldt0( sz00, sz00 )
% 29.24/29.65 }.
% 29.24/29.65 parent0[1]: (48870) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( X, sz00 ), !
% 29.24/29.65 aNaturalNumber0( X ) }.
% 29.24/29.65 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := sz00
% 29.24/29.65 end
% 29.24/29.65 substitution1:
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48872) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, sz00 ) ==> sz00 }.
% 29.24/29.65 parent0[0]: (48871) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtpldt0( sz00, sz00 )
% 29.24/29.65 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (370) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==>
% 29.24/29.65 sz00 }.
% 29.24/29.65 parent0: (48872) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, sz00 ) ==> sz00 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 0
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48873) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 29.24/29.65 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.24/29.65 sdtasdt0( X, Z ), Y = Z }.
% 29.24/29.65 parent0[1]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 29.24/29.65 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.24/29.65 sdtasdt0( X, Z ), Y = Z }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := Y
% 29.24/29.65 Z := Z
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 resolution: (48878) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 29.24/29.65 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xp ), Y =
% 29.24/29.65 xp }.
% 29.24/29.65 parent0[3]: (48873) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 29.24/29.65 ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.24/29.65 sdtasdt0( X, Z ), Y = Z }.
% 29.24/29.65 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := Y
% 29.24/29.65 Z := xp
% 29.24/29.65 end
% 29.24/29.65 substitution1:
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48881) {G1,W17,D3,L5,V2,M5} { xp = X, sz00 = Y, ! aNaturalNumber0
% 29.24/29.65 ( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) = sdtasdt0( Y, xp ) }.
% 29.24/29.65 parent0[4]: (48878) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 29.24/29.65 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xp ), Y =
% 29.24/29.65 xp }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := Y
% 29.24/29.65 Y := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48882) {G1,W17,D3,L5,V2,M5} { X = sz00, xp = Y, ! aNaturalNumber0
% 29.24/29.65 ( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xp ) }.
% 29.24/29.65 parent0[1]: (48881) {G1,W17,D3,L5,V2,M5} { xp = X, sz00 = Y, !
% 29.24/29.65 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 29.24/29.65 sdtasdt0( Y, xp ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := Y
% 29.24/29.65 Y := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48883) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xp ) = sdtasdt0( X,
% 29.24/29.65 Y ), X = sz00, xp = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 29.24/29.65 parent0[4]: (48882) {G1,W17,D3,L5,V2,M5} { X = sz00, xp = Y, !
% 29.24/29.65 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 29.24/29.65 sdtasdt0( X, xp ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := Y
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (1004) {G1,W17,D3,L5,V2,M5} R(20,83) { ! aNaturalNumber0( X )
% 29.24/29.65 , X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xp ) = sdtasdt0( X, Y
% 29.24/29.65 ), xp = Y }.
% 29.24/29.65 parent0: (48883) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xp ) = sdtasdt0( X
% 29.24/29.65 , Y ), X = sz00, xp = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 29.24/29.65 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := Y
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 3
% 29.24/29.65 1 ==> 1
% 29.24/29.65 2 ==> 4
% 29.24/29.65 3 ==> 0
% 29.24/29.65 4 ==> 2
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48904) {G1,W17,D3,L5,V2,M5} { X = xp, ! aNaturalNumber0( Y ), Y =
% 29.24/29.65 sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xp ) = sdtasdt0( Y, X ) }.
% 29.24/29.65 parent0[4]: (1004) {G1,W17,D3,L5,V2,M5} R(20,83) { ! aNaturalNumber0( X ),
% 29.24/29.65 X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xp ) = sdtasdt0( X, Y )
% 29.24/29.65 , xp = Y }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := Y
% 29.24/29.65 Y := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48906) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) = sdtasdt0( X,
% 29.24/29.65 xp ), Y = xp, ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y )
% 29.24/29.65 }.
% 29.24/29.65 parent0[4]: (48904) {G1,W17,D3,L5,V2,M5} { X = xp, ! aNaturalNumber0( Y )
% 29.24/29.65 , Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xp ) = sdtasdt0( Y, X
% 29.24/29.65 ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := Y
% 29.24/29.65 Y := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqfact: (48987) {G0,W17,D3,L5,V1,M5} { ! xp = sz00, ! sdtasdt0( X, X ) =
% 29.24/29.65 sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( X
% 29.24/29.65 ) }.
% 29.24/29.65 parent0[1, 3]: (48906) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) =
% 29.24/29.65 sdtasdt0( X, xp ), Y = xp, ! aNaturalNumber0( X ), X = sz00, !
% 29.24/29.65 aNaturalNumber0( Y ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 Y := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 factor: (48990) {G0,W15,D3,L4,V1,M4} { ! xp = sz00, ! sdtasdt0( X, X ) =
% 29.24/29.65 sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00 }.
% 29.24/29.65 parent0[2, 4]: (48987) {G0,W17,D3,L5,V1,M5} { ! xp = sz00, ! sdtasdt0( X,
% 29.24/29.65 X ) = sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00, !
% 29.24/29.65 aNaturalNumber0( X ) }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (48992) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xp ) = sdtasdt0( X,
% 29.24/29.65 X ), ! xp = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 29.24/29.65 parent0[1]: (48990) {G0,W15,D3,L4,V1,M4} { ! xp = sz00, ! sdtasdt0( X, X )
% 29.24/29.65 = sdtasdt0( X, xp ), ! aNaturalNumber0( X ), X = sz00 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 subsumption: (1139) {G2,W15,D3,L4,V1,M4} E(1004);f { ! xp ==> sz00, !
% 29.24/29.65 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X )
% 29.24/29.65 }.
% 29.24/29.65 parent0: (48992) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xp ) = sdtasdt0( X
% 29.24/29.65 , X ), ! xp = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 end
% 29.24/29.65 permutation0:
% 29.24/29.65 0 ==> 3
% 29.24/29.65 1 ==> 0
% 29.24/29.65 2 ==> 1
% 29.24/29.65 3 ==> 2
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqswap: (49019) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xp, ! aNaturalNumber0( X
% 29.24/29.65 ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X ) }.
% 29.24/29.65 parent0[0]: (1139) {G2,W15,D3,L4,V1,M4} E(1004);f { ! xp ==> sz00, !
% 29.24/29.65 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X )
% 29.24/29.65 }.
% 29.24/29.65 substitution0:
% 29.24/29.65 X := X
% 29.24/29.65 end
% 29.24/29.65
% 29.24/29.65 eqrefl: (49026) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xp, ! aNaturalNumber0( xp
% 29.24/29.65 ), xp = sz00 }.
% 29.24/29.65 parent0[3]: (49019) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xp, !
% 29.70/30.10 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xp ) = sdtasdt0( X, X )
% 29.70/30.10 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 X := xp
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 resolution: (49027) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp = sz00 }.
% 29.70/30.10 parent0[1]: (49026) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xp, ! aNaturalNumber0
% 29.70/30.10 ( xp ), xp = sz00 }.
% 29.70/30.10 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 eqswap: (49028) {G1,W6,D2,L2,V0,M2} { ! xp ==> sz00, xp = sz00 }.
% 29.70/30.10 parent0[0]: (49027) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp = sz00 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 subsumption: (1142) {G3,W6,D2,L2,V0,M2} Q(1139);r(83) { ! xp ==> sz00, xp
% 29.70/30.10 ==> sz00 }.
% 29.70/30.10 parent0: (49028) {G1,W6,D2,L2,V0,M2} { ! xp ==> sz00, xp = sz00 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 permutation0:
% 29.70/30.10 0 ==> 0
% 29.70/30.10 1 ==> 1
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 *** allocated 15000 integers for justifications
% 29.70/30.10 eqswap: (49031) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 29.70/30.10 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 29.70/30.10 parent0[2]: (22) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 29.70/30.10 aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) ==> sz00, X = sz00 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 X := X
% 29.70/30.10 Y := Y
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 paramod: (49034) {G1,W11,D3,L4,V1,M4} { isPrime0( sz00 ), ! sz00 ==>
% 29.70/30.10 sdtpldt0( xp, X ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 29.70/30.10 parent0[3]: (49031) {G0,W12,D3,L4,V2,M4} { ! sz00 ==> sdtpldt0( X, Y ), !
% 29.70/30.10 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00 }.
% 29.70/30.10 parent1[0; 1]: (85) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 X := xp
% 29.70/30.10 Y := X
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 resolution: (49574) {G2,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( xp, X ), !
% 29.70/30.10 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 29.70/30.10 parent0[0]: (235) {G1,W2,D2,L1,V0,M1} Q(63);r(1) { ! isPrime0( sz00 ) }.
% 29.70/30.10 parent1[0]: (49034) {G1,W11,D3,L4,V1,M4} { isPrime0( sz00 ), ! sz00 ==>
% 29.70/30.10 sdtpldt0( xp, X ), ! aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 X := X
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 eqswap: (49575) {G2,W9,D3,L3,V1,M3} { ! sdtpldt0( xp, X ) ==> sz00, !
% 29.70/30.10 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 29.70/30.10 parent0[0]: (49574) {G2,W9,D3,L3,V1,M3} { ! sz00 ==> sdtpldt0( xp, X ), !
% 29.70/30.10 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 X := X
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 subsumption: (1459) {G2,W9,D3,L3,V1,M3} P(22,85);r(235) { ! aNaturalNumber0
% 29.70/30.10 ( xp ), ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) ==> sz00 }.
% 29.70/30.10 parent0: (49575) {G2,W9,D3,L3,V1,M3} { ! sdtpldt0( xp, X ) ==> sz00, !
% 29.70/30.10 aNaturalNumber0( xp ), ! aNaturalNumber0( X ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 X := X
% 29.70/30.10 end
% 29.70/30.10 permutation0:
% 29.70/30.10 0 ==> 2
% 29.70/30.10 1 ==> 0
% 29.70/30.10 2 ==> 1
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 factor: (49580) {G2,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xp ), ! sdtpldt0
% 29.70/30.10 ( xp, xp ) ==> sz00 }.
% 29.70/30.10 parent0[0, 1]: (1459) {G2,W9,D3,L3,V1,M3} P(22,85);r(235) { !
% 29.70/30.10 aNaturalNumber0( xp ), ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) ==>
% 29.70/30.10 sz00 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 X := xp
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 resolution: (49581) {G1,W5,D3,L1,V0,M1} { ! sdtpldt0( xp, xp ) ==> sz00
% 29.70/30.10 }.
% 29.70/30.10 parent0[0]: (49580) {G2,W7,D3,L2,V0,M2} { ! aNaturalNumber0( xp ), !
% 29.70/30.10 sdtpldt0( xp, xp ) ==> sz00 }.
% 29.70/30.10 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 subsumption: (1462) {G3,W5,D3,L1,V0,M1} F(1459);r(83) { ! sdtpldt0( xp, xp
% 29.70/30.10 ) ==> sz00 }.
% 29.70/30.10 parent0: (49581) {G1,W5,D3,L1,V0,M1} { ! sdtpldt0( xp, xp ) ==> sz00 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 permutation0:
% 29.70/30.10 0 ==> 0
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 eqswap: (49583) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 29.70/30.10 parent0[0]: (1142) {G3,W6,D2,L2,V0,M2} Q(1139);r(83) { ! xp ==> sz00, xp
% 29.70/30.10 ==> sz00 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 eqswap: (49586) {G3,W5,D3,L1,V0,M1} { ! sz00 ==> sdtpldt0( xp, xp ) }.
% 29.70/30.10 parent0[0]: (1462) {G3,W5,D3,L1,V0,M1} F(1459);r(83) { ! sdtpldt0( xp, xp )
% 29.70/30.10 ==> sz00 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 paramod: (49589) {G4,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( xp, sz00 ), !
% 29.70/30.10 sz00 ==> xp }.
% 29.70/30.10 parent0[1]: (49583) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 29.70/30.10 parent1[0; 5]: (49586) {G3,W5,D3,L1,V0,M1} { ! sz00 ==> sdtpldt0( xp, xp )
% 29.70/30.10 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 paramod: (49591) {G4,W11,D3,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==> xp, !
% 29.70/30.10 sz00 ==> sdtpldt0( xp, sz00 ) }.
% 29.70/30.10 parent0[1]: (49583) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 29.70/30.10 parent1[1; 3]: (49589) {G4,W8,D3,L2,V0,M2} { ! sz00 ==> sdtpldt0( xp, sz00
% 29.70/30.10 ), ! sz00 ==> xp }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 paramod: (49593) {G4,W14,D3,L4,V0,M4} { ! sz00 ==> sdtpldt0( sz00, sz00 )
% 29.70/30.10 , ! sz00 ==> xp, ! sz00 ==> sz00, ! sz00 ==> xp }.
% 29.70/30.10 parent0[1]: (49583) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xp, xp ==> sz00 }.
% 29.70/30.10 parent1[2; 4]: (49591) {G4,W11,D3,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==>
% 29.70/30.10 xp, ! sz00 ==> sdtpldt0( xp, sz00 ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 paramod: (49603) {G2,W12,D2,L4,V0,M4} { ! sz00 ==> sz00, ! sz00 ==> xp, !
% 29.70/30.10 sz00 ==> sz00, ! sz00 ==> xp }.
% 29.70/30.10 parent0[0]: (370) {G1,W5,D3,L1,V0,M1} R(8,1) { sdtpldt0( sz00, sz00 ) ==>
% 29.70/30.10 sz00 }.
% 29.70/30.10 parent1[0; 3]: (49593) {G4,W14,D3,L4,V0,M4} { ! sz00 ==> sdtpldt0( sz00,
% 29.70/30.10 sz00 ), ! sz00 ==> xp, ! sz00 ==> sz00, ! sz00 ==> xp }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 factor: (49604) {G2,W9,D2,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==> xp, !
% 29.70/30.10 sz00 ==> xp }.
% 29.70/30.10 parent0[0, 2]: (49603) {G2,W12,D2,L4,V0,M4} { ! sz00 ==> sz00, ! sz00 ==>
% 29.70/30.10 xp, ! sz00 ==> sz00, ! sz00 ==> xp }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 factor: (49605) {G2,W6,D2,L2,V0,M2} { ! sz00 ==> sz00, ! sz00 ==> xp }.
% 29.70/30.10 parent0[1, 2]: (49604) {G2,W9,D2,L3,V0,M3} { ! sz00 ==> sz00, ! sz00 ==>
% 29.70/30.10 xp, ! sz00 ==> xp }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 eqrefl: (49606) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> xp }.
% 29.70/30.10 parent0[0]: (49605) {G2,W6,D2,L2,V0,M2} { ! sz00 ==> sz00, ! sz00 ==> xp
% 29.70/30.10 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 eqswap: (49607) {G0,W3,D2,L1,V0,M1} { ! xp ==> sz00 }.
% 29.70/30.10 parent0[0]: (49606) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> xp }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 subsumption: (1799) {G4,W3,D2,L1,V0,M1} P(1142,1462);d(370);q { ! xp ==>
% 29.70/30.10 sz00 }.
% 29.70/30.10 parent0: (49607) {G0,W3,D2,L1,V0,M1} { ! xp ==> sz00 }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 permutation0:
% 29.70/30.10 0 ==> 0
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 eqswap: (49608) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 29.70/30.10 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y =
% 29.70/30.10 sdtasdt0( X, Z ) }.
% 29.70/30.10 parent0[2]: (56) {G0,W20,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 29.70/30.10 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 29.70/30.10 X ), Y = sdtasdt0( X, Z ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 X := X
% 29.70/30.10 Y := Y
% 29.70/30.10 Z := Z
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 resolution: (49616) {G1,W23,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0(
% 29.70/30.10 xp ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ), ! X = sdtsldt0( sdtasdt0(
% 29.70/30.10 xn, xm ), xp ), sdtasdt0( xn, xm ) = sdtasdt0( xp, X ) }.
% 29.70/30.10 parent0[3]: (49608) {G0,W20,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 29.70/30.10 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 29.70/30.10 , Y = sdtasdt0( X, Z ) }.
% 29.70/30.10 parent1[0]: (86) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xm )
% 29.70/30.10 ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 X := xp
% 29.70/30.10 Y := sdtasdt0( xn, xm )
% 29.70/30.10 Z := X
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 paramod: (49617) {G1,W19,D3,L5,V1,M5} { ! X = xk, sz00 = xp, !
% 29.70/30.10 aNaturalNumber0( xp ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ), sdtasdt0
% 29.70/30.10 ( xn, xm ) = sdtasdt0( xp, X ) }.
% 29.70/30.10 parent0[0]: (93) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtasdt0( xn, xm ), xp )
% 29.70/30.10 ==> xk }.
% 29.70/30.10 parent1[3; 3]: (49616) {G1,W23,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0
% 29.70/30.10 ( xp ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ), ! X = sdtsldt0( sdtasdt0
% 29.70/30.10 ( xn, xm ), xp ), sdtasdt0( xn, xm ) = sdtasdt0( xp, X ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 X := X
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 resolution: (49618) {G1,W17,D3,L4,V1,M4} { ! X = xk, sz00 = xp, !
% 29.70/30.10 aNaturalNumber0( sdtasdt0( xn, xm ) ), sdtasdt0( xn, xm ) = sdtasdt0( xp
% 29.70/30.10 , X ) }.
% 29.70/30.10 parent0[2]: (49617) {G1,W19,D3,L5,V1,M5} { ! X = xk, sz00 = xp, !
% 29.70/30.10 aNaturalNumber0( xp ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ), sdtasdt0
% 29.70/30.10 ( xn, xm ) = sdtasdt0( xp, X ) }.
% 29.70/30.10 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 29.70/30.10 substitution0:
% 29.70/30.10 X := X
% 29.70/30.10 end
% 29.70/30.10 substitution1:
% 29.70/30.10 end
% 29.70/30.10
% 29.70/30.10 eqswap: (49620) {G1,W17,D3,L4,V1,M4} { xp = sz00, ! X = xk, !
% 29.70/30.10 aNaturalNumber0( sdtasdt0( xn, xm ) ), sdtasdt0( xn, xm ) = sdtasdt0( xp
% 29.70/30.10 , X ) }.
% 29.70/30.10 parent0[1]: (49618) {G1,W17,D3,L4,V1,M4} { ! X = xk, sz00 = xp, !
% 29.70/30.10 aNaturalNumber0( sdtasdt0( xn, xm ) ), sdtasdt0( xn, xm ) = sdtasdt0( xp
% 29.70/30.10 , XCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------