TSTP Solution File: NUM523+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM523+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 06:23:12 EDT 2022
% Result : Theorem 8.84s 9.22s
% Output : Refutation 8.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM523+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jul 6 15:15:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09
% 0.70/1.09 { && }.
% 0.70/1.09 { aNaturalNumber0( sz00 ) }.
% 0.70/1.09 { aNaturalNumber0( sz10 ) }.
% 0.70/1.09 { ! sz10 = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.70/1.09 ( X, Y ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.70/1.09 ( X, Y ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.70/1.09 sdtpldt0( Y, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.09 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.70/1.09 sdtasdt0( Y, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.09 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.09 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.70/1.09 , Z ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.09 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.70/1.09 , X ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.70/1.09 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.70/1.09 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.70/1.09 , X = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.70/1.09 , Y = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.70/1.09 , X = sz00, Y = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.70/1.09 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.70/1.09 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.70/1.09 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.70/1.09 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.70/1.09 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.70/1.09 sdtlseqdt0( Y, X ), X = Y }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.70/1.09 X }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.70/1.09 sdtlseqdt0( Y, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.09 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.09 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.70/1.09 ) ) }.
% 0.70/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.70/1.09 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.70/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 2.53/2.93 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 2.53/2.93 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 2.53/2.93 ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 2.53/2.93 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 2.53/2.93 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 2.53/2.93 sdtasdt0( Z, X ) ) }.
% 2.53/2.93 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 2.53/2.93 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 2.53/2.93 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 2.53/2.93 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 2.53/2.93 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 2.53/2.93 ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 2.53/2.93 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 2.53/2.93 sdtasdt0( Y, X ) ) }.
% 2.53/2.93 { && }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 2.53/2.93 ), iLess0( X, Y ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 2.53/2.93 aNaturalNumber0( skol2( Z, T ) ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 2.53/2.93 sdtasdt0( X, skol2( X, Y ) ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.53/2.93 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 2.53/2.93 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 2.53/2.93 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 2.53/2.93 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 2.53/2.93 ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.53/2.93 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.53/2.93 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 2.53/2.93 ) ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.53/2.93 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 2.53/2.93 Z ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 2.53/2.93 sz00, sdtlseqdt0( X, Y ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 2.53/2.93 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 2.53/2.93 ( sdtasdt0( Z, Y ), X ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 2.53/2.93 { ! alpha1( X ), ! X = sz10 }.
% 2.53/2.93 { ! alpha1( X ), alpha2( X ) }.
% 2.53/2.93 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 2.53/2.93 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 2.53/2.93 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 2.53/2.93 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 2.53/2.93 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 2.53/2.93 { ! Y = sz10, alpha4( X, Y ) }.
% 2.53/2.93 { ! Y = X, alpha4( X, Y ) }.
% 2.53/2.93 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 2.53/2.93 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 2.53/2.93 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 2.53/2.93 }.
% 2.53/2.93 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 2.53/2.93 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 2.53/2.93 .
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.53/2.93 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ),
% 2.53/2.93 doDivides0( Z, Y ) }.
% 2.53/2.93 { aNaturalNumber0( xn ) }.
% 2.53/2.93 { aNaturalNumber0( xm ) }.
% 2.53/2.93 { aNaturalNumber0( xp ) }.
% 2.53/2.93 { ! xn = sz00 }.
% 2.53/2.93 { ! xm = sz00 }.
% 2.53/2.93 { ! xp = sz00 }.
% 2.53/2.93 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 2.53/2.93 = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z, sdtasdt0( Y, Y ) ) = sdtasdt0
% 2.53/2.93 ( X, X ), ! iLess0( X, xn ), ! isPrime0( Z ) }.
% 8.84/9.22 { sdtasdt0( xp, sdtasdt0( xm, xm ) ) = sdtasdt0( xn, xn ) }.
% 8.84/9.22 { isPrime0( xp ) }.
% 8.84/9.22 { ! doDivides0( xp, sdtasdt0( xn, xn ) ), ! doDivides0( xp, xn ) }.
% 8.84/9.22
% 8.84/9.22 percentage equality = 0.288754, percentage horn = 0.695652
% 8.84/9.22 This is a problem with some equality
% 8.84/9.22
% 8.84/9.22
% 8.84/9.22
% 8.84/9.22 Options Used:
% 8.84/9.22
% 8.84/9.22 useres = 1
% 8.84/9.22 useparamod = 1
% 8.84/9.22 useeqrefl = 1
% 8.84/9.22 useeqfact = 1
% 8.84/9.22 usefactor = 1
% 8.84/9.22 usesimpsplitting = 0
% 8.84/9.22 usesimpdemod = 5
% 8.84/9.22 usesimpres = 3
% 8.84/9.22
% 8.84/9.22 resimpinuse = 1000
% 8.84/9.22 resimpclauses = 20000
% 8.84/9.22 substype = eqrewr
% 8.84/9.22 backwardsubs = 1
% 8.84/9.22 selectoldest = 5
% 8.84/9.22
% 8.84/9.22 litorderings [0] = split
% 8.84/9.22 litorderings [1] = extend the termordering, first sorting on arguments
% 8.84/9.22
% 8.84/9.22 termordering = kbo
% 8.84/9.22
% 8.84/9.22 litapriori = 0
% 8.84/9.22 termapriori = 1
% 8.84/9.22 litaposteriori = 0
% 8.84/9.22 termaposteriori = 0
% 8.84/9.22 demodaposteriori = 0
% 8.84/9.22 ordereqreflfact = 0
% 8.84/9.22
% 8.84/9.22 litselect = negord
% 8.84/9.22
% 8.84/9.22 maxweight = 15
% 8.84/9.22 maxdepth = 30000
% 8.84/9.22 maxlength = 115
% 8.84/9.22 maxnrvars = 195
% 8.84/9.22 excuselevel = 1
% 8.84/9.22 increasemaxweight = 1
% 8.84/9.22
% 8.84/9.22 maxselected = 10000000
% 8.84/9.22 maxnrclauses = 10000000
% 8.84/9.22
% 8.84/9.22 showgenerated = 0
% 8.84/9.22 showkept = 0
% 8.84/9.22 showselected = 0
% 8.84/9.22 showdeleted = 0
% 8.84/9.22 showresimp = 1
% 8.84/9.22 showstatus = 2000
% 8.84/9.22
% 8.84/9.22 prologoutput = 0
% 8.84/9.22 nrgoals = 5000000
% 8.84/9.22 totalproof = 1
% 8.84/9.22
% 8.84/9.22 Symbols occurring in the translation:
% 8.84/9.22
% 8.84/9.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.84/9.22 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 8.84/9.22 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 8.84/9.22 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 8.84/9.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.84/9.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.84/9.22 aNaturalNumber0 [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 8.84/9.22 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 8.84/9.22 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 8.84/9.22 sdtpldt0 [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 8.84/9.22 sdtasdt0 [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 8.84/9.22 sdtlseqdt0 [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 8.84/9.22 sdtmndt0 [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 8.84/9.22 iLess0 [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 8.84/9.22 doDivides0 [46, 2] (w:1, o:54, a:1, s:1, b:0),
% 8.84/9.22 sdtsldt0 [47, 2] (w:1, o:55, a:1, s:1, b:0),
% 8.84/9.22 isPrime0 [48, 1] (w:1, o:20, a:1, s:1, b:0),
% 8.84/9.22 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 8.84/9.22 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 8.84/9.22 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 8.84/9.22 alpha1 [52, 1] (w:1, o:21, a:1, s:1, b:1),
% 8.84/9.22 alpha2 [53, 1] (w:1, o:22, a:1, s:1, b:1),
% 8.84/9.22 alpha3 [54, 2] (w:1, o:56, a:1, s:1, b:1),
% 8.84/9.22 alpha4 [55, 2] (w:1, o:57, a:1, s:1, b:1),
% 8.84/9.22 alpha5 [56, 3] (w:1, o:60, a:1, s:1, b:1),
% 8.84/9.22 alpha6 [57, 3] (w:1, o:61, a:1, s:1, b:1),
% 8.84/9.22 skol1 [58, 2] (w:1, o:58, a:1, s:1, b:1),
% 8.84/9.22 skol2 [59, 2] (w:1, o:59, a:1, s:1, b:1),
% 8.84/9.22 skol3 [60, 1] (w:1, o:23, a:1, s:1, b:1),
% 8.84/9.22 skol4 [61, 1] (w:1, o:24, a:1, s:1, b:1).
% 8.84/9.22
% 8.84/9.22
% 8.84/9.22 Starting Search:
% 8.84/9.22
% 8.84/9.22 *** allocated 15000 integers for clauses
% 8.84/9.22 *** allocated 22500 integers for clauses
% 8.84/9.22 *** allocated 33750 integers for clauses
% 8.84/9.22 *** allocated 15000 integers for termspace/termends
% 8.84/9.22 *** allocated 50625 integers for clauses
% 8.84/9.22 *** allocated 22500 integers for termspace/termends
% 8.84/9.22 *** allocated 75937 integers for clauses
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 *** allocated 33750 integers for termspace/termends
% 8.84/9.22 *** allocated 113905 integers for clauses
% 8.84/9.22 *** allocated 50625 integers for termspace/termends
% 8.84/9.22 *** allocated 170857 integers for clauses
% 8.84/9.22
% 8.84/9.22 Intermediate Status:
% 8.84/9.22 Generated: 12584
% 8.84/9.22 Kept: 2161
% 8.84/9.22 Inuse: 132
% 8.84/9.22 Deleted: 6
% 8.84/9.22 Deletedinuse: 2
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 *** allocated 75937 integers for termspace/termends
% 8.84/9.22 *** allocated 256285 integers for clauses
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 *** allocated 113905 integers for termspace/termends
% 8.84/9.22
% 8.84/9.22 Intermediate Status:
% 8.84/9.22 Generated: 28652
% 8.84/9.22 Kept: 4314
% 8.84/9.22 Inuse: 188
% 8.84/9.22 Deleted: 11
% 8.84/9.22 Deletedinuse: 3
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 *** allocated 384427 integers for clauses
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 *** allocated 170857 integers for termspace/termends
% 8.84/9.22
% 8.84/9.22 Intermediate Status:
% 8.84/9.22 Generated: 52191
% 8.84/9.22 Kept: 6753
% 8.84/9.22 Inuse: 236
% 8.84/9.22 Deleted: 15
% 8.84/9.22 Deletedinuse: 5
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 *** allocated 256285 integers for termspace/termends
% 8.84/9.22 *** allocated 576640 integers for clauses
% 8.84/9.22
% 8.84/9.22 Intermediate Status:
% 8.84/9.22 Generated: 72127
% 8.84/9.22 Kept: 8786
% 8.84/9.22 Inuse: 277
% 8.84/9.22 Deleted: 22
% 8.84/9.22 Deletedinuse: 8
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22
% 8.84/9.22 Intermediate Status:
% 8.84/9.22 Generated: 90514
% 8.84/9.22 Kept: 11277
% 8.84/9.22 Inuse: 320
% 8.84/9.22 Deleted: 25
% 8.84/9.22 Deletedinuse: 9
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 *** allocated 384427 integers for termspace/termends
% 8.84/9.22 *** allocated 864960 integers for clauses
% 8.84/9.22
% 8.84/9.22 Intermediate Status:
% 8.84/9.22 Generated: 109214
% 8.84/9.22 Kept: 13281
% 8.84/9.22 Inuse: 373
% 8.84/9.22 Deleted: 31
% 8.84/9.22 Deletedinuse: 15
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22
% 8.84/9.22 Intermediate Status:
% 8.84/9.22 Generated: 131344
% 8.84/9.22 Kept: 15328
% 8.84/9.22 Inuse: 483
% 8.84/9.22 Deleted: 40
% 8.84/9.22 Deletedinuse: 17
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22
% 8.84/9.22 Intermediate Status:
% 8.84/9.22 Generated: 149927
% 8.84/9.22 Kept: 17332
% 8.84/9.22 Inuse: 568
% 8.84/9.22 Deleted: 51
% 8.84/9.22 Deletedinuse: 18
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 *** allocated 1297440 integers for clauses
% 8.84/9.22
% 8.84/9.22 Intermediate Status:
% 8.84/9.22 Generated: 175444
% 8.84/9.22 Kept: 19338
% 8.84/9.22 Inuse: 638
% 8.84/9.22 Deleted: 58
% 8.84/9.22 Deletedinuse: 22
% 8.84/9.22
% 8.84/9.22 Resimplifying inuse:
% 8.84/9.22 Done
% 8.84/9.22
% 8.84/9.22 Resimplifying clauses:
% 8.84/9.22
% 8.84/9.22 Bliksems!, er is een bewijs:
% 8.84/9.22 % SZS status Theorem
% 8.84/9.22 % SZS output start Refutation
% 8.84/9.22
% 8.84/9.22 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 8.84/9.22 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.84/9.22 (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 8.84/9.22 (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.84/9.22 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 8.84/9.22 (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.84/9.22 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 8.84/9.22 }.
% 8.84/9.22 (81) {G0,W19,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.84/9.22 ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X
% 8.84/9.22 , Y ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 8.84/9.22 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 8.84/9.22 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 8.84/9.22 (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 8.84/9.22 (89) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm ) ) ==>
% 8.84/9.22 sdtasdt0( xn, xn ) }.
% 8.84/9.22 (90) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 8.84/9.22 (91) {G0,W8,D3,L2,V0,M2} I { ! doDivides0( xp, sdtasdt0( xn, xn ) ), !
% 8.84/9.22 doDivides0( xp, xn ) }.
% 8.84/9.22 (252) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ), aNaturalNumber0
% 8.84/9.22 ( sdtasdt0( xn, X ) ) }.
% 8.84/9.22 (254) {G1,W6,D3,L2,V1,M2} R(5,83) { ! aNaturalNumber0( X ), aNaturalNumber0
% 8.84/9.22 ( sdtasdt0( xm, X ) ) }.
% 8.84/9.22 (282) {G1,W3,D2,L1,V0,M1} R(31,82) { sdtlseqdt0( xn, xn ) }.
% 8.84/9.22 (1315) {G2,W4,D3,L1,V0,M1} R(252,82) { aNaturalNumber0( sdtasdt0( xn, xn )
% 8.84/9.22 ) }.
% 8.84/9.22 (1546) {G2,W4,D3,L1,V0,M1} R(254,83) { aNaturalNumber0( sdtasdt0( xm, xm )
% 8.84/9.22 ) }.
% 8.84/9.22 (12623) {G1,W15,D3,L5,V2,M5} R(81,84);r(90) { ! aNaturalNumber0( X ), !
% 8.84/9.22 aNaturalNumber0( Y ), ! doDivides0( xp, sdtasdt0( X, Y ) ), doDivides0(
% 8.84/9.22 xp, X ), doDivides0( xp, Y ) }.
% 8.84/9.22 (12650) {G2,W10,D3,L3,V1,M3} F(12623);f { ! aNaturalNumber0( X ), !
% 8.84/9.22 doDivides0( xp, sdtasdt0( X, X ) ), doDivides0( xp, X ) }.
% 8.84/9.22 (12819) {G1,W14,D3,L4,V1,M4} P(89,54);r(84) { ! aNaturalNumber0( X ), !
% 8.84/9.22 aNaturalNumber0( sdtasdt0( xm, xm ) ), ! X = sdtasdt0( xn, xn ),
% 8.84/9.22 doDivides0( xp, X ) }.
% 8.84/9.22 (12862) {G3,W9,D3,L2,V0,M2} Q(12819);r(1315) { ! aNaturalNumber0( sdtasdt0
% 8.84/9.22 ( xm, xm ) ), doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 8.84/9.22 (12960) {G3,W15,D3,L5,V1,M5} P(32,91);r(12650) { ! doDivides0( xp, sdtasdt0
% 8.84/9.22 ( X, X ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( X ), ! sdtlseqdt0
% 8.84/9.22 ( xn, X ), ! sdtlseqdt0( X, xn ) }.
% 8.84/9.22 (12968) {G4,W8,D3,L2,V0,M2} F(12960);f;r(82) { ! doDivides0( xp, sdtasdt0(
% 8.84/9.22 xn, xn ) ), ! sdtlseqdt0( xn, xn ) }.
% 8.84/9.22 (21072) {G5,W5,D3,L1,V0,M1} S(12968);r(282) { ! doDivides0( xp, sdtasdt0(
% 8.84/9.22 xn, xn ) ) }.
% 8.84/9.22 (21087) {G6,W0,D0,L0,V0,M0} S(12862);r(1546);r(21072) { }.
% 8.84/9.22
% 8.84/9.22
% 8.84/9.22 % SZS output end Refutation
% 8.84/9.22 found a proof!
% 8.84/9.22
% 8.84/9.22
% 8.84/9.22 Unprocessed initial clauses:
% 8.84/9.22
% 8.84/9.22 (21089) {G0,W1,D1,L1,V0,M1} { && }.
% 8.84/9.22 (21090) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 8.84/9.22 (21091) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 8.84/9.22 (21092) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 8.84/9.22 (21093) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.84/9.22 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 8.84/9.22 (21094) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.84/9.22 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.84/9.22 (21095) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 8.84/9.22 (21096) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 8.84/9.22 X, sdtpldt0( Y, Z ) ) }.
% 8.84/9.22 (21097) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 8.84/9.22 = X }.
% 8.84/9.22 (21098) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 8.84/9.22 X ) }.
% 8.84/9.22 (21099) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 8.84/9.22 (21100) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 8.84/9.22 X, sdtasdt0( Y, Z ) ) }.
% 8.84/9.22 (21101) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 8.84/9.22 = X }.
% 8.84/9.22 (21102) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 8.84/9.22 X ) }.
% 8.84/9.22 (21103) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 8.84/9.22 = sz00 }.
% 8.84/9.22 (21104) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 8.84/9.22 sz00, X ) }.
% 8.84/9.22 (21105) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 8.84/9.22 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 8.84/9.22 (21106) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 8.84/9.22 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 8.84/9.22 (21107) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 8.84/9.22 }.
% 8.84/9.22 (21108) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 8.84/9.22 }.
% 8.84/9.22 (21109) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 8.84/9.22 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 8.84/9.22 sdtasdt0( X, Z ), Y = Z }.
% 8.84/9.22 (21110) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 8.84/9.22 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 8.84/9.22 sdtasdt0( Z, X ), Y = Z }.
% 8.84/9.22 (21111) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 8.84/9.22 (21112) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 8.84/9.22 (21113) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 8.84/9.22 (21114) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 8.84/9.22 (21115) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 8.84/9.22 (21116) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 8.84/9.22 }.
% 8.84/9.22 (21117) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 8.84/9.22 }.
% 8.84/9.22 (21118) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 8.84/9.22 }.
% 8.84/9.22 (21119) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 8.84/9.22 , Z = sdtmndt0( Y, X ) }.
% 8.84/9.22 (21120) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 8.84/9.22 }.
% 8.84/9.22 (21121) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 8.84/9.22 (21122) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 8.84/9.22 sdtlseqdt0( X, Z ) }.
% 8.84/9.22 (21123) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 8.84/9.22 (21124) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 8.84/9.22 (21125) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 8.84/9.22 ) }.
% 8.84/9.22 (21126) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 8.84/9.22 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 8.84/9.22 (21127) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 8.84/9.22 sdtpldt0( Z, Y ) }.
% 8.84/9.22 (21128) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 8.84/9.22 Z, X ), sdtpldt0( Z, Y ) ) }.
% 8.84/9.22 (21129) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 8.84/9.22 sdtpldt0( Y, Z ) }.
% 8.84/9.22 (21130) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 8.84/9.22 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 8.84/9.22 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 8.84/9.22 (21131) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 8.84/9.22 alpha6( X, Y, Z ) }.
% 8.84/9.22 (21132) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 8.84/9.22 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 8.84/9.22 (21133) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 8.84/9.22 sdtasdt0( X, Z ) }.
% 8.84/9.22 (21134) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 8.84/9.22 X, Y ), sdtasdt0( X, Z ) ) }.
% 8.84/9.22 (21135) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 8.84/9.22 sdtasdt0( Z, X ) }.
% 8.84/9.22 (21136) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 8.84/9.22 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 8.84/9.22 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 8.84/9.22 (21137) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 8.84/9.22 , ! sz10 = X }.
% 8.84/9.22 (21138) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 8.84/9.22 , sdtlseqdt0( sz10, X ) }.
% 8.84/9.22 (21139) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 8.84/9.22 (21140) {G0,W1,D1,L1,V0,M1} { && }.
% 8.84/9.22 (21141) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 8.84/9.22 (21142) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 8.84/9.22 (21143) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 8.84/9.22 (21144) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 8.84/9.22 }.
% 8.84/9.22 (21145) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 8.84/9.22 aNaturalNumber0( Z ) }.
% 8.84/9.22 (21146) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 8.84/9.22 ( X, Z ) }.
% 8.84/9.22 (21147) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 8.84/9.22 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 8.84/9.22 (21148) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 8.84/9.22 doDivides0( X, Z ) }.
% 8.84/9.22 (21149) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 8.84/9.22 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 8.84/9.22 (21150) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 8.84/9.22 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 8.84/9.22 (21151) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.22 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 8.84/9.23 (21152) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.23 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 8.84/9.23 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 8.84/9.23 (21153) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 8.84/9.23 = sz00 }.
% 8.84/9.23 (21154) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 8.84/9.23 alpha1( X ) }.
% 8.84/9.23 (21155) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 8.84/9.23 X ), isPrime0( X ) }.
% 8.84/9.23 (21156) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 8.84/9.23 (21157) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 8.84/9.23 (21158) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 8.84/9.23 (21159) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 8.84/9.23 Y ) }.
% 8.84/9.23 (21160) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 8.84/9.23 (21161) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 8.84/9.23 (21162) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 8.84/9.23 (21163) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 8.84/9.23 (21164) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 8.84/9.23 (21165) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 8.84/9.23 (21166) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 8.84/9.23 (21167) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 8.84/9.23 , alpha3( X, Y ) }.
% 8.84/9.23 (21168) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 8.84/9.23 , aNaturalNumber0( skol4( Y ) ) }.
% 8.84/9.23 (21169) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 8.84/9.23 , isPrime0( skol4( Y ) ) }.
% 8.84/9.23 (21170) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 8.84/9.23 , doDivides0( skol4( X ), X ) }.
% 8.84/9.23 (21171) {G0,W19,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.23 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 8.84/9.23 X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 8.84/9.23 (21172) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 8.84/9.23 (21173) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 8.84/9.23 (21174) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 8.84/9.23 (21175) {G0,W3,D2,L1,V0,M1} { ! xn = sz00 }.
% 8.84/9.23 (21176) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 8.84/9.23 (21177) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 8.84/9.23 (21178) {G0,W29,D4,L9,V3,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.84/9.23 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z
% 8.84/9.23 , sdtasdt0( Y, Y ) ) = sdtasdt0( X, X ), ! iLess0( X, xn ), ! isPrime0( Z
% 8.84/9.23 ) }.
% 8.84/9.23 (21179) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) ) =
% 8.84/9.23 sdtasdt0( xn, xn ) }.
% 8.84/9.23 (21180) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 8.84/9.23 (21181) {G0,W8,D3,L2,V0,M2} { ! doDivides0( xp, sdtasdt0( xn, xn ) ), !
% 8.84/9.23 doDivides0( xp, xn ) }.
% 8.84/9.23
% 8.84/9.23
% 8.84/9.23 Total Proof:
% 8.84/9.23
% 8.84/9.23 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 8.84/9.23 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.84/9.23 parent0: (21094) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 8.84/9.23 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.84/9.23 substitution0:
% 8.84/9.23 X := X
% 8.84/9.23 Y := Y
% 8.84/9.23 end
% 8.84/9.23 permutation0:
% 8.84/9.23 0 ==> 0
% 8.84/9.23 1 ==> 1
% 8.84/9.23 2 ==> 2
% 8.84/9.23 end
% 8.84/9.23
% 8.84/9.23 *** allocated 576640 integers for termspace/termends
% 8.84/9.23 subsumption: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 8.84/9.23 sdtlseqdt0( X, X ) }.
% 8.84/9.23 parent0: (21120) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 8.84/9.23 ( X, X ) }.
% 8.84/9.23 substitution0:
% 8.84/9.23 X := X
% 8.84/9.23 end
% 8.84/9.23 permutation0:
% 8.84/9.23 0 ==> 0
% 8.84/9.23 1 ==> 1
% 8.84/9.23 end
% 8.84/9.23
% 8.84/9.23 subsumption: (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), !
% 8.84/9.23 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 8.84/9.23 }.
% 8.84/9.23 parent0: (21121) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 8.84/9.23 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 8.84/9.23 }.
% 8.84/9.23 substitution0:
% 8.84/9.23 X := X
% 8.84/9.23 Y := Y
% 8.84/9.23 end
% 8.84/9.23 permutation0:
% 8.84/9.23 0 ==> 0
% 8.84/9.23 1 ==> 1
% 8.84/9.23 2 ==> 2
% 8.84/9.23 3 ==> 3
% 8.84/9.23 4 ==> 4
% 8.84/9.23 end
% 8.84/9.23
% 8.84/9.23 subsumption: (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 8.84/9.23 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 8.84/9.23 doDivides0( X, Y ) }.
% 8.84/9.23 parent0: (21144) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 8.84/9.23 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 8.87/9.24 doDivides0( X, Y ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := X
% 8.87/9.24 Y := Y
% 8.87/9.24 Z := Z
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 1 ==> 1
% 8.87/9.24 2 ==> 2
% 8.87/9.24 3 ==> 3
% 8.87/9.24 4 ==> 4
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (81) {G0,W19,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 8.87/9.24 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), !
% 8.87/9.24 doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y )
% 8.87/9.24 }.
% 8.87/9.24 parent0: (21171) {G0,W19,D3,L7,V3,M7} { ! aNaturalNumber0( X ), !
% 8.87/9.24 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), !
% 8.87/9.24 doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y )
% 8.87/9.24 }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := X
% 8.87/9.24 Y := Y
% 8.87/9.24 Z := Z
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 1 ==> 1
% 8.87/9.24 2 ==> 2
% 8.87/9.24 3 ==> 3
% 8.87/9.24 4 ==> 4
% 8.87/9.24 5 ==> 5
% 8.87/9.24 6 ==> 6
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 8.87/9.24 parent0: (21172) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 8.87/9.24 parent0: (21173) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 8.87/9.24 parent0: (21174) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (89) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm )
% 8.87/9.24 ) ==> sdtasdt0( xn, xn ) }.
% 8.87/9.24 parent0: (21179) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) )
% 8.87/9.24 = sdtasdt0( xn, xn ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (90) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 8.87/9.24 parent0: (21180) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (91) {G0,W8,D3,L2,V0,M2} I { ! doDivides0( xp, sdtasdt0( xn,
% 8.87/9.24 xn ) ), ! doDivides0( xp, xn ) }.
% 8.87/9.24 parent0: (21181) {G0,W8,D3,L2,V0,M2} { ! doDivides0( xp, sdtasdt0( xn, xn
% 8.87/9.24 ) ), ! doDivides0( xp, xn ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 1 ==> 1
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 resolution: (25126) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 8.87/9.24 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 8.87/9.24 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 8.87/9.24 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.87/9.24 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := xn
% 8.87/9.24 Y := X
% 8.87/9.24 end
% 8.87/9.24 substitution1:
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (252) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 8.87/9.24 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 8.87/9.24 parent0: (25126) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 8.87/9.24 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := X
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 1 ==> 1
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 resolution: (25128) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 8.87/9.24 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 8.87/9.24 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 8.87/9.24 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.87/9.24 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := xm
% 8.87/9.24 Y := X
% 8.87/9.24 end
% 8.87/9.24 substitution1:
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (254) {G1,W6,D3,L2,V1,M2} R(5,83) { ! aNaturalNumber0( X ),
% 8.87/9.24 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 8.87/9.24 parent0: (25128) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 8.87/9.24 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := X
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 1 ==> 1
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 resolution: (25130) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xn ) }.
% 8.87/9.24 parent0[0]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 8.87/9.24 ( X, X ) }.
% 8.87/9.24 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := xn
% 8.87/9.24 end
% 8.87/9.24 substitution1:
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (282) {G1,W3,D2,L1,V0,M1} R(31,82) { sdtlseqdt0( xn, xn ) }.
% 8.87/9.24 parent0: (25130) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xn ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 resolution: (25131) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn,
% 8.87/9.24 xn ) ) }.
% 8.87/9.24 parent0[0]: (252) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 8.87/9.24 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 8.87/9.24 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := xn
% 8.87/9.24 end
% 8.87/9.24 substitution1:
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (1315) {G2,W4,D3,L1,V0,M1} R(252,82) { aNaturalNumber0(
% 8.87/9.24 sdtasdt0( xn, xn ) ) }.
% 8.87/9.24 parent0: (25131) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn, xn )
% 8.87/9.24 ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 resolution: (25132) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 8.87/9.24 xm ) ) }.
% 8.87/9.24 parent0[0]: (254) {G1,W6,D3,L2,V1,M2} R(5,83) { ! aNaturalNumber0( X ),
% 8.87/9.24 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 8.87/9.24 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := xm
% 8.87/9.24 end
% 8.87/9.24 substitution1:
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (1546) {G2,W4,D3,L1,V0,M1} R(254,83) { aNaturalNumber0(
% 8.87/9.24 sdtasdt0( xm, xm ) ) }.
% 8.87/9.24 parent0: (25132) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm, xm )
% 8.87/9.24 ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 end
% 8.87/9.24 permutation0:
% 8.87/9.24 0 ==> 0
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 resolution: (25135) {G1,W17,D3,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 8.87/9.24 aNaturalNumber0( Y ), ! isPrime0( xp ), ! doDivides0( xp, sdtasdt0( X, Y
% 8.87/9.24 ) ), doDivides0( xp, X ), doDivides0( xp, Y ) }.
% 8.87/9.24 parent0[2]: (81) {G0,W19,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 8.87/9.24 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), !
% 8.87/9.24 doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y )
% 8.87/9.24 }.
% 8.87/9.24 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := X
% 8.87/9.24 Y := Y
% 8.87/9.24 Z := xp
% 8.87/9.24 end
% 8.87/9.24 substitution1:
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 resolution: (25147) {G1,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 8.87/9.24 aNaturalNumber0( Y ), ! doDivides0( xp, sdtasdt0( X, Y ) ), doDivides0(
% 8.87/9.24 xp, X ), doDivides0( xp, Y ) }.
% 8.87/9.24 parent0[2]: (25135) {G1,W17,D3,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 8.87/9.24 aNaturalNumber0( Y ), ! isPrime0( xp ), ! doDivides0( xp, sdtasdt0( X, Y
% 8.87/9.24 ) ), doDivides0( xp, X ), doDivides0( xp, Y ) }.
% 8.87/9.24 parent1[0]: (90) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 8.87/9.24 substitution0:
% 8.87/9.24 X := X
% 8.87/9.24 Y := Y
% 8.87/9.24 end
% 8.87/9.24 substitution1:
% 8.87/9.24 end
% 8.87/9.24
% 8.87/9.24 subsumption: (12623) {G1,W15,D3,L5,V2,M5} R(81,84);r(90) { !
% 8.87/9.24 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( xp, sdtasdt0
% 8.87/9.24 ( X, Y ) ), doDivides0( xp, X ), doDivides0( xp, Y ) }.
% 8.87/9.24 parent0: (25147) {G1,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 8.87/9.25 aNaturalNumber0( Y ), ! doDivides0( xp, sdtasdt0( X, Y ) ), doDivides0(
% 8.87/9.25 xp, X ), doDivides0( xp, Y ) }.
% 8.87/9.25 substitution0:
% 8.87/9.25 X := X
% 8.87/9.25 Y := Y
% 8.87/9.25 end
% 8.87/9.25 permutation0:
% 8.87/9.25 0 ==> 0
% 8.87/9.25 1 ==> 1
% 8.87/9.25 2 ==> 2
% 8.87/9.25 3 ==> 3
% 8.87/9.25 4 ==> 4
% 8.87/9.25 end
% 8.87/9.25
% 8.87/9.25 factor: (25152) {G1,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), !
% 8.87/9.25 aNaturalNumber0( X ), ! doDivides0( xp, sdtasdt0( X, X ) ), doDivides0(
% 8.87/9.25 xp, X ) }.
% 8.87/9.25 parent0[3, 4]: (12623) {G1,W15,D3,L5,V2,M5} R(81,84);r(90) { !
% 8.87/9.25 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( xp, sdtasdt0
% 8.87/9.25 ( X, Y ) ), doDivides0( xp, X ), doDivides0( xp, Y ) }.
% 8.87/9.25 substitution0:
% 8.87/9.25 X := X
% 8.87/9.25 Y := X
% 8.87/9.25 end
% 8.87/9.25
% 8.87/9.25 factor: (25153) {G1,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 8.87/9.25 doDivides0( xp, sdtasdt0( X, X ) ), doDivides0( xp, X ) }.
% 8.87/9.25 parent0[0, 1]: (25152) {G1,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), !
% 8.87/9.25 aNaturalNumber0( X ), ! doDivides0( xp, sdtasdt0( X, X ) ), doDivides0(
% 8.87/9.25 xp, X ) }.
% 8.87/9.25 substitution0:
% 8.87/9.25 X := X
% 8.87/9.25 end
% 8.87/9.25
% 8.87/9.25 subsumption: (12650) {G2,W10,D3,L3,V1,M3} F(12623);f { ! aNaturalNumber0( X
% 8.87/9.25 ), ! doDivides0( xp, sdtasdt0( X, X ) ), doDivides0( xp, X ) }.
% 8.87/9.25 parent0: (25153) {G1,W10,D3,L3,V1,M3} { ! aNaturalNumber0( X ), !
% 8.87/9.25 doDivides0( xp, sdtasdt0( X, X ) ), doDivides0( xp, X ) }.
% 8.87/9.25 substitution0:
% 8.87/9.25 X := X
% 8.87/9.25 end
% 8.87/9.25 permutation0:
% 8.87/9.25 0 ==> 0
% 8.87/9.25 1 ==> 1
% 8.87/9.25 2 ==> 2
% 8.87/9.25 end
% 8.87/9.25
% 8.87/9.25 eqswap: (25155) {G0,W14,D3,L5,V3,M5} { ! sdtasdt0( Y, Z ) = X, !
% 8.87/9.25 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ),
% 8.87/9.25 doDivides0( Y, X ) }.
% 8.87/9.25 parent0[3]: (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 8.87/9.25 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 8.87/9.25 doDivides0( X, Y ) }.
% 8.87/9.25 substitution0:
% 8.87/9.25 X := Y
% 8.87/9.25 Y := X
% 8.87/9.25 Z := Z
% 8.87/9.25 end
% 8.87/9.25
% 8.87/9.25 paramod: (25156) {G1,W16,D3,L5,V1,M5} { ! sdtasdt0( xn, xn ) = X, !
% 8.87/9.25 aNaturalNumber0( xp ), ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.87/9.25 sdtasdt0( xm, xm ) ), doDivides0( xp, X ) }.
% 8.87/9.25 parent0[0]: (89) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm ) )
% 8.87/9.25 ==> sdtasdt0( xn, xn ) }.
% 8.87/9.25 parent1[0; 2]: (25155) {G0,W14,D3,L5,V3,M5} { ! sdtasdt0( Y, Z ) = X, !Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------