TSTP Solution File: NUM521+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM521+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 06:23:11 EDT 2022
% Result : Theorem 4.26s 4.64s
% Output : Refutation 4.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM521+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.33 % Computer : n019.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Thu Jul 7 15:38:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09
% 0.71/1.09 { && }.
% 0.71/1.09 { aNaturalNumber0( sz00 ) }.
% 0.71/1.09 { aNaturalNumber0( sz10 ) }.
% 0.71/1.09 { ! sz10 = sz00 }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.71/1.09 ( X, Y ) ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.71/1.09 ( X, Y ) ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.71/1.09 sdtpldt0( Y, X ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.09 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.71/1.09 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.71/1.09 sdtasdt0( Y, X ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.09 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.71/1.09 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.71/1.09 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.09 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.71/1.09 , Z ) ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.09 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.71/1.09 , X ) ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.09 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.09 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.71/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.71/1.09 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.71/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.71/1.09 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.71/1.09 , X = sz00 }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.71/1.09 , Y = sz00 }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.71/1.09 , X = sz00, Y = sz00 }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.71/1.09 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.71/1.09 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.09 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.71/1.09 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.71/1.09 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.71/1.09 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.71/1.09 sdtlseqdt0( Y, X ), X = Y }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.09 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.71/1.09 X }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.71/1.09 sdtlseqdt0( Y, X ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.71/1.09 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.71/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.71/1.09 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.71/1.09 ) ) }.
% 0.71/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.71/1.09 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.71/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 2.89/3.27 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 2.89/3.27 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 2.89/3.27 ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 2.89/3.27 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 2.89/3.27 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 2.89/3.27 sdtasdt0( Z, X ) ) }.
% 2.89/3.27 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 2.89/3.27 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 2.89/3.27 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 2.89/3.27 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 2.89/3.27 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 2.89/3.27 ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 2.89/3.27 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 2.89/3.27 sdtasdt0( Y, X ) ) }.
% 2.89/3.27 { && }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 2.89/3.27 ), iLess0( X, Y ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 2.89/3.27 aNaturalNumber0( skol2( Z, T ) ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 2.89/3.27 sdtasdt0( X, skol2( X, Y ) ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.89/3.27 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 2.89/3.27 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 2.89/3.27 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 2.89/3.27 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 2.89/3.27 ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.89/3.27 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.89/3.27 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 2.89/3.27 ) ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.89/3.27 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 2.89/3.27 Z ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 2.89/3.27 sz00, sdtlseqdt0( X, Y ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 2.89/3.27 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 2.89/3.27 ( sdtasdt0( Z, Y ), X ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 2.89/3.27 { ! alpha1( X ), ! X = sz10 }.
% 2.89/3.27 { ! alpha1( X ), alpha2( X ) }.
% 2.89/3.27 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 2.89/3.27 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 2.89/3.27 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 2.89/3.27 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 2.89/3.27 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 2.89/3.27 { ! Y = sz10, alpha4( X, Y ) }.
% 2.89/3.27 { ! Y = X, alpha4( X, Y ) }.
% 2.89/3.27 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 2.89/3.27 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 2.89/3.27 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 2.89/3.27 }.
% 2.89/3.27 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 2.89/3.27 .
% 2.89/3.27 { aNaturalNumber0( xn ) }.
% 2.89/3.27 { aNaturalNumber0( xm ) }.
% 2.89/3.27 { aNaturalNumber0( xp ) }.
% 2.89/3.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 2.89/3.27 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 2.89/3.27 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), doDivides0(
% 2.89/3.27 Z, X ), doDivides0( Z, Y ) }.
% 2.89/3.27 { isPrime0( xp ) }.
% 2.89/3.27 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 2.89/3.27 { ! sdtlseqdt0( xp, xn ) }.
% 2.89/3.27 { ! sdtlseqdt0( xp, xm ) }.
% 2.89/3.27 { xn = xp, ! sdtlseqdt0( xn, xp ), xm = xp, ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.64 { ! doDivides0( xp, xn ) }.
% 4.26/4.64 { ! doDivides0( xp, xm ) }.
% 4.26/4.64
% 4.26/4.64 percentage equality = 0.274691, percentage horn = 0.695652
% 4.26/4.64 This is a problem with some equality
% 4.26/4.64
% 4.26/4.64
% 4.26/4.64
% 4.26/4.64 Options Used:
% 4.26/4.64
% 4.26/4.64 useres = 1
% 4.26/4.64 useparamod = 1
% 4.26/4.64 useeqrefl = 1
% 4.26/4.64 useeqfact = 1
% 4.26/4.64 usefactor = 1
% 4.26/4.64 usesimpsplitting = 0
% 4.26/4.64 usesimpdemod = 5
% 4.26/4.64 usesimpres = 3
% 4.26/4.64
% 4.26/4.64 resimpinuse = 1000
% 4.26/4.64 resimpclauses = 20000
% 4.26/4.64 substype = eqrewr
% 4.26/4.64 backwardsubs = 1
% 4.26/4.64 selectoldest = 5
% 4.26/4.64
% 4.26/4.64 litorderings [0] = split
% 4.26/4.64 litorderings [1] = extend the termordering, first sorting on arguments
% 4.26/4.64
% 4.26/4.64 termordering = kbo
% 4.26/4.64
% 4.26/4.64 litapriori = 0
% 4.26/4.64 termapriori = 1
% 4.26/4.64 litaposteriori = 0
% 4.26/4.64 termaposteriori = 0
% 4.26/4.64 demodaposteriori = 0
% 4.26/4.64 ordereqreflfact = 0
% 4.26/4.64
% 4.26/4.64 litselect = negord
% 4.26/4.64
% 4.26/4.64 maxweight = 15
% 4.26/4.64 maxdepth = 30000
% 4.26/4.64 maxlength = 115
% 4.26/4.64 maxnrvars = 195
% 4.26/4.64 excuselevel = 1
% 4.26/4.64 increasemaxweight = 1
% 4.26/4.64
% 4.26/4.64 maxselected = 10000000
% 4.26/4.64 maxnrclauses = 10000000
% 4.26/4.64
% 4.26/4.64 showgenerated = 0
% 4.26/4.64 showkept = 0
% 4.26/4.64 showselected = 0
% 4.26/4.64 showdeleted = 0
% 4.26/4.64 showresimp = 1
% 4.26/4.64 showstatus = 2000
% 4.26/4.64
% 4.26/4.64 prologoutput = 0
% 4.26/4.64 nrgoals = 5000000
% 4.26/4.64 totalproof = 1
% 4.26/4.64
% 4.26/4.64 Symbols occurring in the translation:
% 4.26/4.64
% 4.26/4.64 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.26/4.64 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 4.26/4.64 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 4.26/4.64 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 4.26/4.64 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.26/4.64 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.26/4.64 aNaturalNumber0 [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 4.26/4.64 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.26/4.64 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.26/4.64 sdtpldt0 [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 4.26/4.64 sdtasdt0 [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 4.26/4.64 sdtlseqdt0 [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 4.26/4.64 sdtmndt0 [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 4.26/4.64 iLess0 [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 4.26/4.64 doDivides0 [46, 2] (w:1, o:54, a:1, s:1, b:0),
% 4.26/4.64 sdtsldt0 [47, 2] (w:1, o:55, a:1, s:1, b:0),
% 4.26/4.64 isPrime0 [48, 1] (w:1, o:20, a:1, s:1, b:0),
% 4.26/4.64 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.26/4.64 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 4.26/4.64 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 4.26/4.64 alpha1 [52, 1] (w:1, o:21, a:1, s:1, b:1),
% 4.26/4.64 alpha2 [53, 1] (w:1, o:22, a:1, s:1, b:1),
% 4.26/4.64 alpha3 [54, 2] (w:1, o:56, a:1, s:1, b:1),
% 4.26/4.64 alpha4 [55, 2] (w:1, o:57, a:1, s:1, b:1),
% 4.26/4.64 alpha5 [56, 3] (w:1, o:60, a:1, s:1, b:1),
% 4.26/4.64 alpha6 [57, 3] (w:1, o:61, a:1, s:1, b:1),
% 4.26/4.64 skol1 [58, 2] (w:1, o:58, a:1, s:1, b:1),
% 4.26/4.64 skol2 [59, 2] (w:1, o:59, a:1, s:1, b:1),
% 4.26/4.64 skol3 [60, 1] (w:1, o:23, a:1, s:1, b:1),
% 4.26/4.64 skol4 [61, 1] (w:1, o:24, a:1, s:1, b:1).
% 4.26/4.64
% 4.26/4.64
% 4.26/4.64 Starting Search:
% 4.26/4.64
% 4.26/4.64 *** allocated 15000 integers for clauses
% 4.26/4.64 *** allocated 22500 integers for clauses
% 4.26/4.64 *** allocated 33750 integers for clauses
% 4.26/4.64 *** allocated 15000 integers for termspace/termends
% 4.26/4.64 *** allocated 50625 integers for clauses
% 4.26/4.64 *** allocated 22500 integers for termspace/termends
% 4.26/4.64 *** allocated 75937 integers for clauses
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64 *** allocated 33750 integers for termspace/termends
% 4.26/4.64 *** allocated 113905 integers for clauses
% 4.26/4.64 *** allocated 50625 integers for termspace/termends
% 4.26/4.64
% 4.26/4.64 Intermediate Status:
% 4.26/4.64 Generated: 13140
% 4.26/4.64 Kept: 2050
% 4.26/4.64 Inuse: 136
% 4.26/4.64 Deleted: 6
% 4.26/4.64 Deletedinuse: 1
% 4.26/4.64
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64 *** allocated 170857 integers for clauses
% 4.26/4.64 *** allocated 75937 integers for termspace/termends
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64 *** allocated 256285 integers for clauses
% 4.26/4.64 *** allocated 113905 integers for termspace/termends
% 4.26/4.64
% 4.26/4.64 Intermediate Status:
% 4.26/4.64 Generated: 26835
% 4.26/4.64 Kept: 4098
% 4.26/4.64 Inuse: 183
% 4.26/4.64 Deleted: 16
% 4.26/4.64 Deletedinuse: 3
% 4.26/4.64
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64 *** allocated 170857 integers for termspace/termends
% 4.26/4.64 *** allocated 384427 integers for clauses
% 4.26/4.64
% 4.26/4.64 Intermediate Status:
% 4.26/4.64 Generated: 49776
% 4.26/4.64 Kept: 6569
% 4.26/4.64 Inuse: 231
% 4.26/4.64 Deleted: 25
% 4.26/4.64 Deletedinuse: 10
% 4.26/4.64
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64 *** allocated 256285 integers for termspace/termends
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64
% 4.26/4.64 Intermediate Status:
% 4.26/4.64 Generated: 69447
% 4.26/4.64 Kept: 8575
% 4.26/4.64 Inuse: 276
% 4.26/4.64 Deleted: 48
% 4.26/4.64 Deletedinuse: 29
% 4.26/4.64
% 4.26/4.64 *** allocated 576640 integers for clauses
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64
% 4.26/4.64 Intermediate Status:
% 4.26/4.64 Generated: 84666
% 4.26/4.64 Kept: 10808
% 4.26/4.64 Inuse: 321
% 4.26/4.64 Deleted: 50
% 4.26/4.64 Deletedinuse: 30
% 4.26/4.64
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64 Resimplifying inuse:
% 4.26/4.64 Done
% 4.26/4.64
% 4.26/4.64 *** allocated 384427 integers for termspace/termends
% 4.26/4.64
% 4.26/4.64 Bliksems!, er is een bewijs:
% 4.26/4.64 % SZS status Theorem
% 4.26/4.64 % SZS output start Refutation
% 4.26/4.64
% 4.26/4.64 (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.26/4.64 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 4.26/4.64 (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.26/4.64 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.26/4.64 (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 4.26/4.64 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 4.26/4.64 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 4.26/4.64 (87) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xn ) }.
% 4.26/4.64 (88) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xm ) }.
% 4.26/4.64 (89) {G0,W12,D2,L4,V0,M4} I { xp ==> xn, ! sdtlseqdt0( xn, xp ), xp ==> xm
% 4.26/4.64 , ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.64 (2625) {G1,W5,D2,L2,V0,M2} R(34,87);r(83) { ! aNaturalNumber0( xn ), ! xp
% 4.26/4.64 ==> xn }.
% 4.26/4.64 (2628) {G1,W5,D2,L2,V0,M2} R(34,88);r(83) { ! aNaturalNumber0( xm ), ! xp
% 4.26/4.64 ==> xm }.
% 4.26/4.64 (2663) {G2,W3,D2,L1,V0,M1} S(2625);r(81) { ! xp ==> xn }.
% 4.26/4.64 (2673) {G2,W3,D2,L1,V0,M1} S(2628);r(82) { ! xp ==> xm }.
% 4.26/4.64 (2716) {G1,W5,D2,L2,V0,M2} R(35,87);r(83) { ! aNaturalNumber0( xn ),
% 4.26/4.64 sdtlseqdt0( xn, xp ) }.
% 4.26/4.64 (2719) {G1,W5,D2,L2,V0,M2} R(35,88);r(83) { ! aNaturalNumber0( xm ),
% 4.26/4.64 sdtlseqdt0( xm, xp ) }.
% 4.26/4.64 (2734) {G2,W3,D2,L1,V0,M1} S(2716);r(81) { sdtlseqdt0( xn, xp ) }.
% 4.26/4.64 (3095) {G2,W3,D2,L1,V0,M1} S(2719);r(82) { sdtlseqdt0( xm, xp ) }.
% 4.26/4.64 (12364) {G3,W0,D0,L0,V0,M0} S(89);r(2663);r(2734);r(2673);r(3095) { }.
% 4.26/4.64
% 4.26/4.64
% 4.26/4.64 % SZS output end Refutation
% 4.26/4.64 found a proof!
% 4.26/4.64
% 4.26/4.64
% 4.26/4.64 Unprocessed initial clauses:
% 4.26/4.64
% 4.26/4.64 (12366) {G0,W1,D1,L1,V0,M1} { && }.
% 4.26/4.64 (12367) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 4.26/4.64 (12368) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 4.26/4.64 (12369) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 4.26/4.64 (12370) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.26/4.64 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 4.26/4.64 (12371) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.26/4.64 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 4.26/4.64 (12372) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 4.26/4.64 (12373) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 4.26/4.64 X, sdtpldt0( Y, Z ) ) }.
% 4.26/4.64 (12374) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 4.26/4.64 = X }.
% 4.26/4.64 (12375) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 4.26/4.64 X ) }.
% 4.26/4.64 (12376) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 4.26/4.64 (12377) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 4.26/4.64 X, sdtasdt0( Y, Z ) ) }.
% 4.26/4.64 (12378) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 4.26/4.64 = X }.
% 4.26/4.64 (12379) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 4.26/4.64 X ) }.
% 4.26/4.64 (12380) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 4.26/4.64 = sz00 }.
% 4.26/4.64 (12381) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 4.26/4.64 sz00, X ) }.
% 4.26/4.64 (12382) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 4.26/4.64 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 4.26/4.64 (12383) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 4.26/4.64 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 4.26/4.64 (12384) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 4.26/4.64 }.
% 4.26/4.64 (12385) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 4.26/4.64 }.
% 4.26/4.64 (12386) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 4.26/4.64 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 4.26/4.64 sdtasdt0( X, Z ), Y = Z }.
% 4.26/4.64 (12387) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 4.26/4.64 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 4.26/4.64 sdtasdt0( Z, X ), Y = Z }.
% 4.26/4.64 (12388) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 4.26/4.64 (12389) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 4.26/4.64 (12390) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 4.26/4.64 (12391) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 4.26/4.64 (12392) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 4.26/4.64 (12393) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 4.26/4.64 }.
% 4.26/4.64 (12394) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 4.26/4.64 }.
% 4.26/4.64 (12395) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 4.26/4.64 }.
% 4.26/4.64 (12396) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 4.26/4.64 , Z = sdtmndt0( Y, X ) }.
% 4.26/4.64 (12397) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 4.26/4.64 }.
% 4.26/4.64 (12398) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 4.26/4.64 (12399) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 4.26/4.64 sdtlseqdt0( X, Z ) }.
% 4.26/4.64 (12400) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 4.26/4.64 (12401) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.26/4.64 (12402) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 4.26/4.64 ) }.
% 4.26/4.64 (12403) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 4.26/4.64 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 4.26/4.64 (12404) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 4.26/4.64 sdtpldt0( Z, Y ) }.
% 4.26/4.64 (12405) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 4.26/4.64 Z, X ), sdtpldt0( Z, Y ) ) }.
% 4.26/4.64 (12406) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 4.26/4.64 sdtpldt0( Y, Z ) }.
% 4.26/4.64 (12407) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 4.26/4.64 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 4.26/4.64 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 4.26/4.64 (12408) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 4.26/4.64 alpha6( X, Y, Z ) }.
% 4.26/4.64 (12409) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 4.26/4.64 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 4.26/4.64 (12410) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 4.26/4.64 sdtasdt0( X, Z ) }.
% 4.26/4.64 (12411) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 4.26/4.64 X, Y ), sdtasdt0( X, Z ) ) }.
% 4.26/4.64 (12412) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 4.26/4.64 sdtasdt0( Z, X ) }.
% 4.26/4.64 (12413) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 4.26/4.64 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 4.26/4.64 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 4.26/4.64 (12414) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.26/4.64 , ! sz10 = X }.
% 4.26/4.64 (12415) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.26/4.64 , sdtlseqdt0( sz10, X ) }.
% 4.26/4.64 (12416) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 4.26/4.64 (12417) {G0,W1,D1,L1,V0,M1} { && }.
% 4.26/4.64 (12418) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 4.26/4.64 (12419) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 4.26/4.64 (12420) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 4.26/4.64 (12421) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 4.26/4.64 }.
% 4.26/4.64 (12422) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 4.26/4.64 aNaturalNumber0( Z ) }.
% 4.26/4.64 (12423) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 4.26/4.64 ( X, Z ) }.
% 4.26/4.64 (12424) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 4.26/4.64 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 4.26/4.64 (12425) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 4.26/4.64 doDivides0( X, Z ) }.
% 4.26/4.64 (12426) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 4.26/4.64 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 4.26/4.64 (12427) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 4.26/4.64 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 4.26/4.64 (12428) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 4.26/4.64 (12429) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 4.26/4.64 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 4.26/4.64 (12430) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 4.26/4.64 = sz00 }.
% 4.26/4.64 (12431) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 4.26/4.64 alpha1( X ) }.
% 4.26/4.64 (12432) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 4.26/4.64 X ), isPrime0( X ) }.
% 4.26/4.64 (12433) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 4.26/4.64 (12434) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 4.26/4.64 (12435) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 4.26/4.64 (12436) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 4.26/4.64 Y ) }.
% 4.26/4.64 (12437) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 4.26/4.64 (12438) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 4.26/4.64 (12439) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 4.26/4.64 (12440) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 4.26/4.64 (12441) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 4.26/4.64 (12442) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 4.26/4.64 (12443) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 4.26/4.64 (12444) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 4.26/4.64 , alpha3( X, Y ) }.
% 4.26/4.64 (12445) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.26/4.64 , aNaturalNumber0( skol4( Y ) ) }.
% 4.26/4.64 (12446) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.26/4.64 , isPrime0( skol4( Y ) ) }.
% 4.26/4.64 (12447) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.26/4.64 , doDivides0( skol4( X ), X ) }.
% 4.26/4.64 (12448) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 4.26/4.64 (12449) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 4.26/4.64 (12450) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 4.26/4.64 (12451) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.26/4.64 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 4.26/4.64 X, Y ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0(
% 4.26/4.64 xn, xm ), xp ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 4.26/4.65 (12452) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 4.26/4.65 (12453) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 4.26/4.65 (12454) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 4.26/4.65 (12455) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 4.26/4.65 (12456) {G0,W12,D2,L4,V0,M4} { xn = xp, ! sdtlseqdt0( xn, xp ), xm = xp, !
% 4.26/4.65 sdtlseqdt0( xm, xp ) }.
% 4.26/4.65 (12457) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xn ) }.
% 4.26/4.65 (12458) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xm ) }.
% 4.26/4.65
% 4.26/4.65
% 4.26/4.65 Total Proof:
% 4.26/4.65
% 4.26/4.65 subsumption: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 4.26/4.65 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 4.26/4.65 parent0: (12400) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 4.26/4.65 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 4.26/4.65 substitution0:
% 4.26/4.65 X := X
% 4.26/4.65 Y := Y
% 4.26/4.65 end
% 4.26/4.65 permutation0:
% 4.26/4.65 0 ==> 0
% 4.26/4.65 1 ==> 1
% 4.26/4.65 2 ==> 2
% 4.26/4.65 3 ==> 3
% 4.26/4.65 end
% 4.26/4.65
% 4.26/4.65 subsumption: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 4.26/4.65 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.26/4.65 parent0: (12401) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 4.26/4.66 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 X := X
% 4.26/4.66 Y := Y
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 1 ==> 1
% 4.26/4.66 2 ==> 2
% 4.26/4.66 3 ==> 3
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 4.26/4.66 parent0: (12448) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 4.26/4.66 parent0: (12449) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 *** allocated 864960 integers for clauses
% 4.26/4.66 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 4.26/4.66 parent0: (12450) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (87) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xn ) }.
% 4.26/4.66 parent0: (12454) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (88) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xm ) }.
% 4.26/4.66 parent0: (12455) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 eqswap: (15391) {G0,W12,D2,L4,V0,M4} { xp = xm, xn = xp, ! sdtlseqdt0( xn
% 4.26/4.66 , xp ), ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent0[2]: (12456) {G0,W12,D2,L4,V0,M4} { xn = xp, ! sdtlseqdt0( xn, xp )
% 4.26/4.66 , xm = xp, ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 eqswap: (15392) {G0,W12,D2,L4,V0,M4} { xp = xn, xp = xm, ! sdtlseqdt0( xn
% 4.26/4.66 , xp ), ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent0[1]: (15391) {G0,W12,D2,L4,V0,M4} { xp = xm, xn = xp, ! sdtlseqdt0
% 4.26/4.66 ( xn, xp ), ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (89) {G0,W12,D2,L4,V0,M4} I { xp ==> xn, ! sdtlseqdt0( xn, xp
% 4.26/4.66 ), xp ==> xm, ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent0: (15392) {G0,W12,D2,L4,V0,M4} { xp = xn, xp = xm, ! sdtlseqdt0( xn
% 4.26/4.66 , xp ), ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 1 ==> 2
% 4.26/4.66 2 ==> 1
% 4.26/4.66 3 ==> 3
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 eqswap: (15393) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 4.26/4.66 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 4.26/4.66 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 4.26/4.66 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 4.26/4.66 substitution0:
% 4.26/4.66 X := Y
% 4.26/4.66 Y := X
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15394) {G1,W7,D2,L3,V0,M3} { ! xp = xn, ! aNaturalNumber0( xp
% 4.26/4.66 ), ! aNaturalNumber0( xn ) }.
% 4.26/4.66 parent0[0]: (87) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xn ) }.
% 4.26/4.66 parent1[3]: (15393) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 4.26/4.66 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 X := xn
% 4.26/4.66 Y := xp
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15395) {G1,W5,D2,L2,V0,M2} { ! xp = xn, ! aNaturalNumber0( xn
% 4.26/4.66 ) }.
% 4.26/4.66 parent0[1]: (15394) {G1,W7,D2,L3,V0,M3} { ! xp = xn, ! aNaturalNumber0( xp
% 4.26/4.66 ), ! aNaturalNumber0( xn ) }.
% 4.26/4.66 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (2625) {G1,W5,D2,L2,V0,M2} R(34,87);r(83) { ! aNaturalNumber0
% 4.26/4.66 ( xn ), ! xp ==> xn }.
% 4.26/4.66 parent0: (15395) {G1,W5,D2,L2,V0,M2} { ! xp = xn, ! aNaturalNumber0( xn )
% 4.26/4.66 }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 1
% 4.26/4.66 1 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 eqswap: (15397) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 4.26/4.66 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 4.26/4.66 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 4.26/4.66 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 4.26/4.66 substitution0:
% 4.26/4.66 X := Y
% 4.26/4.66 Y := X
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15398) {G1,W7,D2,L3,V0,M3} { ! xp = xm, ! aNaturalNumber0( xp
% 4.26/4.66 ), ! aNaturalNumber0( xm ) }.
% 4.26/4.66 parent0[0]: (88) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xm ) }.
% 4.26/4.66 parent1[3]: (15397) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 4.26/4.66 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 X := xm
% 4.26/4.66 Y := xp
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15399) {G1,W5,D2,L2,V0,M2} { ! xp = xm, ! aNaturalNumber0( xm
% 4.26/4.66 ) }.
% 4.26/4.66 parent0[1]: (15398) {G1,W7,D2,L3,V0,M3} { ! xp = xm, ! aNaturalNumber0( xp
% 4.26/4.66 ), ! aNaturalNumber0( xm ) }.
% 4.26/4.66 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (2628) {G1,W5,D2,L2,V0,M2} R(34,88);r(83) { ! aNaturalNumber0
% 4.26/4.66 ( xm ), ! xp ==> xm }.
% 4.26/4.66 parent0: (15399) {G1,W5,D2,L2,V0,M2} { ! xp = xm, ! aNaturalNumber0( xm )
% 4.26/4.66 }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 1
% 4.26/4.66 1 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15402) {G1,W3,D2,L1,V0,M1} { ! xp ==> xn }.
% 4.26/4.66 parent0[0]: (2625) {G1,W5,D2,L2,V0,M2} R(34,87);r(83) { ! aNaturalNumber0(
% 4.26/4.66 xn ), ! xp ==> xn }.
% 4.26/4.66 parent1[0]: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (2663) {G2,W3,D2,L1,V0,M1} S(2625);r(81) { ! xp ==> xn }.
% 4.26/4.66 parent0: (15402) {G1,W3,D2,L1,V0,M1} { ! xp ==> xn }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15405) {G1,W3,D2,L1,V0,M1} { ! xp ==> xm }.
% 4.26/4.66 parent0[0]: (2628) {G1,W5,D2,L2,V0,M2} R(34,88);r(83) { ! aNaturalNumber0(
% 4.26/4.66 xm ), ! xp ==> xm }.
% 4.26/4.66 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (2673) {G2,W3,D2,L1,V0,M1} S(2628);r(82) { ! xp ==> xm }.
% 4.26/4.66 parent0: (15405) {G1,W3,D2,L1,V0,M1} { ! xp ==> xm }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15407) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 4.26/4.66 aNaturalNumber0( xn ), sdtlseqdt0( xn, xp ) }.
% 4.26/4.66 parent0[0]: (87) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xn ) }.
% 4.26/4.66 parent1[2]: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 4.26/4.66 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 X := xp
% 4.26/4.66 Y := xn
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15408) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xn ),
% 4.26/4.66 sdtlseqdt0( xn, xp ) }.
% 4.26/4.66 parent0[0]: (15407) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 4.26/4.66 aNaturalNumber0( xn ), sdtlseqdt0( xn, xp ) }.
% 4.26/4.66 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (2716) {G1,W5,D2,L2,V0,M2} R(35,87);r(83) { ! aNaturalNumber0
% 4.26/4.66 ( xn ), sdtlseqdt0( xn, xp ) }.
% 4.26/4.66 parent0: (15408) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xn ), sdtlseqdt0
% 4.26/4.66 ( xn, xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 1 ==> 1
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15409) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 4.26/4.66 aNaturalNumber0( xm ), sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent0[0]: (88) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xm ) }.
% 4.26/4.66 parent1[2]: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 4.26/4.66 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 X := xp
% 4.26/4.66 Y := xm
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15410) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xm ),
% 4.26/4.66 sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent0[0]: (15409) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 4.26/4.66 aNaturalNumber0( xm ), sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (2719) {G1,W5,D2,L2,V0,M2} R(35,88);r(83) { ! aNaturalNumber0
% 4.26/4.66 ( xm ), sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent0: (15410) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xm ), sdtlseqdt0
% 4.26/4.66 ( xm, xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 1 ==> 1
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15411) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 4.26/4.66 parent0[0]: (2716) {G1,W5,D2,L2,V0,M2} R(35,87);r(83) { ! aNaturalNumber0(
% 4.26/4.66 xn ), sdtlseqdt0( xn, xp ) }.
% 4.26/4.66 parent1[0]: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (2734) {G2,W3,D2,L1,V0,M1} S(2716);r(81) { sdtlseqdt0( xn, xp
% 4.26/4.66 ) }.
% 4.26/4.66 parent0: (15411) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15412) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent0[0]: (2719) {G1,W5,D2,L2,V0,M2} R(35,88);r(83) { ! aNaturalNumber0(
% 4.26/4.66 xm ), sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (3095) {G2,W3,D2,L1,V0,M1} S(2719);r(82) { sdtlseqdt0( xm, xp
% 4.26/4.66 ) }.
% 4.26/4.66 parent0: (15412) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 0 ==> 0
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15418) {G1,W9,D2,L3,V0,M3} { ! sdtlseqdt0( xn, xp ), xp ==>
% 4.26/4.66 xm, ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent0[0]: (2663) {G2,W3,D2,L1,V0,M1} S(2625);r(81) { ! xp ==> xn }.
% 4.26/4.66 parent1[0]: (89) {G0,W12,D2,L4,V0,M4} I { xp ==> xn, ! sdtlseqdt0( xn, xp )
% 4.26/4.66 , xp ==> xm, ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15419) {G2,W6,D2,L2,V0,M2} { xp ==> xm, ! sdtlseqdt0( xm, xp
% 4.26/4.66 ) }.
% 4.26/4.66 parent0[0]: (15418) {G1,W9,D2,L3,V0,M3} { ! sdtlseqdt0( xn, xp ), xp ==>
% 4.26/4.66 xm, ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent1[0]: (2734) {G2,W3,D2,L1,V0,M1} S(2716);r(81) { sdtlseqdt0( xn, xp )
% 4.26/4.66 }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15420) {G3,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent0[0]: (2673) {G2,W3,D2,L1,V0,M1} S(2628);r(82) { ! xp ==> xm }.
% 4.26/4.66 parent1[0]: (15419) {G2,W6,D2,L2,V0,M2} { xp ==> xm, ! sdtlseqdt0( xm, xp
% 4.26/4.66 ) }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 resolution: (15421) {G3,W0,D0,L0,V0,M0} { }.
% 4.26/4.66 parent0[0]: (15420) {G3,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xm, xp ) }.
% 4.26/4.66 parent1[0]: (3095) {G2,W3,D2,L1,V0,M1} S(2719);r(82) { sdtlseqdt0( xm, xp )
% 4.26/4.66 }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 substitution1:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 subsumption: (12364) {G3,W0,D0,L0,V0,M0} S(89);r(2663);r(2734);r(2673);r(
% 4.26/4.66 3095) { }.
% 4.26/4.66 parent0: (15421) {G3,W0,D0,L0,V0,M0} { }.
% 4.26/4.66 substitution0:
% 4.26/4.66 end
% 4.26/4.66 permutation0:
% 4.26/4.66 end
% 4.26/4.66
% 4.26/4.66 Proof check complete!
% 4.26/4.66
% 4.26/4.66 Memory use:
% 4.26/4.66
% 4.26/4.66 space for terms: 270761
% 4.26/4.66 space for clauses: 539886
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 clauses generated: 99862
% 4.26/4.66 clauses kept: 12365
% 4.26/4.66 clauses selected: 350
% 4.26/4.66 clauses deleted: 59
% 4.26/4.66 clauses inuse deleted: 38
% 4.26/4.66
% 4.26/4.66 subsentry: 244170
% 4.26/4.66 literals s-matched: 153767
% 4.26/4.66 literals matched: 124413
% 4.26/4.66 full subsumption: 97892
% 4.26/4.66
% 4.26/4.66 checksum: 933907311
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Bliksem ended
%------------------------------------------------------------------------------