TSTP Solution File: NUM530+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM530+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 06:23:17 EDT 2022
% Result : Theorem 0.73s 1.10s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM530+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jul 5 18:43:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.10 *** allocated 10000 integers for termspace/termends
% 0.73/1.10 *** allocated 10000 integers for clauses
% 0.73/1.10 *** allocated 10000 integers for justifications
% 0.73/1.10 Bliksem 1.12
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Automatic Strategy Selection
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Clauses:
% 0.73/1.10
% 0.73/1.10 { && }.
% 0.73/1.10 { aNaturalNumber0( sz00 ) }.
% 0.73/1.10 { aNaturalNumber0( sz10 ) }.
% 0.73/1.10 { ! sz10 = sz00 }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.73/1.10 ( X, Y ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.73/1.10 ( X, Y ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.73/1.10 sdtpldt0( Y, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.10 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.73/1.10 sdtasdt0( Y, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.10 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.73/1.10 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.10 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.73/1.10 , Z ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.10 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.73/1.10 , X ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.10 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.10 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.73/1.10 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.73/1.10 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.73/1.10 , X = sz00 }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.73/1.10 , Y = sz00 }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.73/1.10 , X = sz00, Y = sz00 }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.73/1.10 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.73/1.10 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.10 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.73/1.10 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.73/1.10 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.73/1.10 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.73/1.10 sdtlseqdt0( Y, X ), X = Y }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.10 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.73/1.10 X }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.73/1.10 sdtlseqdt0( Y, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.73/1.10 ) ) }.
% 0.73/1.10 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.73/1.10 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.73/1.10 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.73/1.10 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.73/1.10 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.73/1.10 ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.73/1.10 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.73/1.10 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.73/1.10 sdtasdt0( Z, X ) ) }.
% 0.73/1.10 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.73/1.10 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.73/1.10 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.73/1.10 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.73/1.10 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.73/1.10 ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.73/1.10 sdtasdt0( Y, X ) ) }.
% 0.73/1.10 { && }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.73/1.10 ), iLess0( X, Y ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.73/1.10 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.73/1.10 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.10 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.73/1.10 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.73/1.10 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.73/1.10 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.73/1.10 ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.10 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.10 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.73/1.10 ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.10 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.73/1.10 Z ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.73/1.10 sz00, sdtlseqdt0( X, Y ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.73/1.10 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.73/1.10 ( sdtasdt0( Z, Y ), X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.73/1.10 { ! alpha1( X ), ! X = sz10 }.
% 0.73/1.10 { ! alpha1( X ), alpha2( X ) }.
% 0.73/1.10 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.73/1.10 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.73/1.10 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.73/1.10 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.73/1.10 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.73/1.10 { ! Y = sz10, alpha4( X, Y ) }.
% 0.73/1.10 { ! Y = X, alpha4( X, Y ) }.
% 0.73/1.10 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.73/1.10 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.73/1.10 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.73/1.10 }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.73/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.73/1.10 .
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.10 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ),
% 0.73/1.10 doDivides0( Z, Y ) }.
% 0.73/1.10 { aNaturalNumber0( xn ) }.
% 0.73/1.10 { aNaturalNumber0( xm ) }.
% 0.73/1.10 { aNaturalNumber0( xp ) }.
% 0.73/1.10 { ! xn = sz00 }.
% 0.73/1.10 { ! xm = sz00 }.
% 0.73/1.10 { ! xp = sz00 }.
% 0.73/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.73/1.10 = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z, sdtasdt0( Y, Y ) ) = sdtasdt0
% 0.73/1.10 ( X, X ), ! iLess0( X, xn ), ! isPrime0( Z ) }.
% 0.73/1.10 { sdtasdt0( xp, sdtasdt0( xm, xm ) ) = sdtasdt0( xn, xn ) }.
% 0.73/1.10 { isPrime0( xp ) }.
% 0.73/1.10 { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 0.73/1.10 { doDivides0( xp, xn ) }.
% 0.73/1.10 { xq = sdtsldt0( xn, xp ) }.
% 0.73/1.10 { sdtasdt0( xm, xm ) = sdtasdt0( xp, sdtasdt0( xq, xq ) ) }.
% 0.73/1.10 { ! xm = xn }.
% 0.73/1.10 { sdtlseqdt0( xm, xn ) }.
% 0.73/1.10 { ! isPrime0( xp ) }.
% 0.73/1.10 { ! || }.
% 0.73/1.10
% 0.73/1.10 percentage equality = 0.292537, percentage horn = 0.717172
% 0.73/1.10 This is a problem with some equality
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Options Used:
% 0.73/1.10
% 0.73/1.10 useres = 1
% 0.73/1.10 useparamod = 1
% 0.73/1.10 useeqrefl = 1
% 0.73/1.10 useeqfact = 1
% 0.73/1.10 usefactor = 1
% 0.73/1.10 usesimpsplitting = 0
% 0.73/1.10 usesimpdemod = 5
% 0.73/1.10 usesimpres = 3
% 0.73/1.10
% 0.73/1.10 resimpinuse = 1000
% 0.73/1.10 resimpclauses = 20000
% 0.73/1.10 substype = eqrewr
% 0.73/1.10 backwardsubs = 1
% 0.73/1.10 selectoldest = 5
% 0.73/1.10
% 0.73/1.10 litorderings [0] = split
% 0.73/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.10
% 0.73/1.10 termordering = kbo
% 0.73/1.10
% 0.73/1.10 litapriori = 0
% 0.73/1.10 termapriori = 1
% 0.73/1.10 litaposteriori = 0
% 0.73/1.10 termaposteriori = 0
% 0.73/1.10 demodaposteriori = 0
% 0.73/1.10 ordereqreflfact = 0
% 0.73/1.10
% 0.73/1.10 litselect = negord
% 0.73/1.10
% 0.73/1.10 maxweight = 15
% 0.73/1.10 maxdepth = 30000
% 0.73/1.10 maxlength = 115
% 0.73/1.10 maxnrvars = 195
% 0.73/1.10 excuselevel = 1
% 0.73/1.10 increasemaxweight = 1
% 0.73/1.10
% 0.73/1.10 maxselected = 10000000
% 0.73/1.10 maxnrclauses = 10000000
% 0.73/1.10
% 0.73/1.10 showgenerated = 0
% 0.73/1.10 showkept = 0
% 0.73/1.10 showselected = 0
% 0.73/1.10 showdeleted = 0
% 0.73/1.10 showresimp = 1
% 0.73/1.10 showstatus = 2000
% 0.73/1.10
% 0.73/1.10 prologoutput = 0
% 0.73/1.10 nrgoals = 5000000
% 0.73/1.10 totalproof = 1
% 0.73/1.10
% 0.73/1.10 Symbols occurring in the translation:
% 0.73/1.10
% 0.73/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.10 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.10 || [2, 0] (w:1, o:3, a:1, s:1, b:0),
% 0.73/1.10 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.73/1.10 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.73/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.10 aNaturalNumber0 [36, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.10 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.73/1.10 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.73/1.10 sdtpldt0 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.73/1.10 sdtasdt0 [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.73/1.10 sdtlseqdt0 [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.73/1.10 sdtmndt0 [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.73/1.10 iLess0 [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.73/1.10 doDivides0 [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.73/1.10 sdtsldt0 [47, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.73/1.10 isPrime0 [48, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.10 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.10 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.10 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.10 xq [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.10 alpha1 [53, 1] (w:1, o:22, a:1, s:1, b:1),
% 0.73/1.10 alpha2 [54, 1] (w:1, o:23, a:1, s:1, b:1),
% 0.73/1.10 alpha3 [55, 2] (w:1, o:57, a:1, s:1, b:1),
% 0.73/1.10 alpha4 [56, 2] (w:1, o:58, a:1, s:1, b:1),
% 0.73/1.10 alpha5 [57, 3] (w:1, o:61, a:1, s:1, b:1),
% 0.73/1.10 alpha6 [58, 3] (w:1, o:62, a:1, s:1, b:1),
% 0.73/1.10 skol1 [59, 2] (w:1, o:59, a:1, s:1, b:1),
% 0.73/1.10 skol2 [60, 2] (w:1, o:60, a:1, s:1, b:1),
% 0.73/1.10 skol3 [61, 1] (w:1, o:24, a:1, s:1, b:1),
% 0.73/1.10 skol4 [62, 1] (w:1, o:25, a:1, s:1, b:1).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Starting Search:
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Bliksems!, er is een bewijs:
% 0.73/1.10 % SZS status Theorem
% 0.73/1.10 % SZS output start Refutation
% 0.73/1.10
% 0.73/1.10 (90) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 0.73/1.10 (97) {G1,W0,D0,L0,V0,M0} I;r(90) { }.
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 % SZS output end Refutation
% 0.73/1.10 found a proof!
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Unprocessed initial clauses:
% 0.73/1.10
% 0.73/1.10 (99) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.10 (100) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.73/1.10 (101) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 0.73/1.10 (102) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 0.73/1.10 (103) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.73/1.10 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.73/1.10 (104) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.73/1.10 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.73/1.10 (105) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.73/1.10 (106) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 0.73/1.10 , sdtpldt0( Y, Z ) ) }.
% 0.73/1.10 (107) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 0.73/1.10 X }.
% 0.73/1.10 (108) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 0.73/1.10 ) }.
% 0.73/1.10 (109) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.73/1.10 (110) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 0.73/1.10 , sdtasdt0( Y, Z ) ) }.
% 0.73/1.10 (111) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 0.73/1.10 X }.
% 0.73/1.10 (112) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.73/1.10 ) }.
% 0.73/1.10 (113) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.73/1.10 sz00 }.
% 0.73/1.10 (114) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.73/1.10 , X ) }.
% 0.73/1.10 (115) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 0.73/1.10 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.73/1.10 (116) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 0.73/1.10 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.73/1.10 (117) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.73/1.10 }.
% 0.73/1.10 (118) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 0.73/1.10 }.
% 0.73/1.10 (119) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.73/1.10 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 0.73/1.10 sdtasdt0( X, Z ), Y = Z }.
% 0.73/1.10 (120) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.73/1.10 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 0.73/1.10 sdtasdt0( Z, X ), Y = Z }.
% 0.73/1.10 (121) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 0.73/1.10 (122) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 0.73/1.10 (123) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.73/1.10 (124) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 0.73/1.10 (125) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.73/1.10 (126) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.73/1.10 }.
% 0.73/1.10 (127) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 0.73/1.10 }.
% 0.73/1.10 (128) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 0.73/1.10 }.
% 0.73/1.10 (129) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 0.73/1.10 , Z = sdtmndt0( Y, X ) }.
% 0.73/1.10 (130) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.73/1.10 (131) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.73/1.10 (132) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 0.73/1.10 sdtlseqdt0( X, Z ) }.
% 0.73/1.10 (133) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 0.73/1.10 (134) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.73/1.10 (135) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 0.73/1.10 ) }.
% 0.73/1.10 (136) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 0.73/1.10 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 0.73/1.10 (137) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 0.73/1.10 sdtpldt0( Z, Y ) }.
% 0.73/1.10 (138) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 0.73/1.10 , X ), sdtpldt0( Z, Y ) ) }.
% 0.73/1.10 (139) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 0.73/1.10 sdtpldt0( Y, Z ) }.
% 0.73/1.10 (140) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 0.73/1.10 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 0.73/1.10 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.10 (141) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6
% 0.73/1.10 ( X, Y, Z ) }.
% 0.73/1.10 (142) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 0.73/1.10 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.73/1.10 (143) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 0.73/1.10 sdtasdt0( X, Z ) }.
% 0.73/1.10 (144) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 0.73/1.10 , Y ), sdtasdt0( X, Z ) ) }.
% 0.73/1.10 (145) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 0.73/1.10 sdtasdt0( Z, X ) }.
% 0.73/1.10 (146) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 0.73/1.10 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 0.73/1.10 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 0.73/1.10 (147) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 0.73/1.10 sz10 = X }.
% 0.73/1.10 (148) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.73/1.10 sdtlseqdt0( sz10, X ) }.
% 0.73/1.10 (149) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 0.73/1.10 (150) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.10 (151) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 0.73/1.10 (152) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 0.73/1.10 (153) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 0.73/1.10 (154) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 0.73/1.10 }.
% 0.73/1.10 (155) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 0.73/1.10 aNaturalNumber0( Z ) }.
% 0.73/1.10 (156) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 0.73/1.10 ( X, Z ) }.
% 0.73/1.10 (157) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 0.73/1.10 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 0.73/1.10 (158) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 0.73/1.10 doDivides0( X, Z ) }.
% 0.73/1.10 (159) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 0.73/1.10 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 0.73/1.10 (160) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 0.73/1.10 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 0.73/1.10 (161) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 0.73/1.10 (162) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.10 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z,
% 0.73/1.10 sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 0.73/1.10 (163) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X =
% 0.73/1.10 sz00 }.
% 0.73/1.10 (164) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 0.73/1.10 alpha1( X ) }.
% 0.73/1.10 (165) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X
% 0.73/1.10 ), isPrime0( X ) }.
% 0.73/1.10 (166) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 0.73/1.10 (167) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.73/1.10 (168) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.73/1.10 (169) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 (170) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.73/1.12 (171) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.73/1.12 (172) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.73/1.12 (173) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 0.73/1.12 (174) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 0.73/1.12 (175) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.73/1.12 (176) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.73/1.12 (177) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ),
% 0.73/1.12 alpha3( X, Y ) }.
% 0.73/1.12 (178) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.73/1.12 aNaturalNumber0( skol4( Y ) ) }.
% 0.73/1.12 (179) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.73/1.12 isPrime0( skol4( Y ) ) }.
% 0.73/1.12 (180) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.73/1.12 doDivides0( skol4( X ), X ) }.
% 0.73/1.12 (181) {G0,W19,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.12 ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X
% 0.73/1.12 , Y ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 0.73/1.12 (182) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 0.73/1.12 (183) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 0.73/1.12 (184) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 0.73/1.12 (185) {G0,W3,D2,L1,V0,M1} { ! xn = sz00 }.
% 0.73/1.12 (186) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 0.73/1.12 (187) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 0.73/1.12 (188) {G0,W29,D4,L9,V3,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.73/1.12 ), ! aNaturalNumber0( Z ), X = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z,
% 0.73/1.12 sdtasdt0( Y, Y ) ) = sdtasdt0( X, X ), ! iLess0( X, xn ), ! isPrime0( Z )
% 0.73/1.12 }.
% 0.73/1.12 (189) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) ) = sdtasdt0
% 0.73/1.12 ( xn, xn ) }.
% 0.73/1.12 (190) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 0.73/1.12 (191) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 0.73/1.12 (192) {G0,W3,D2,L1,V0,M1} { doDivides0( xp, xn ) }.
% 0.73/1.12 (193) {G0,W5,D3,L1,V0,M1} { xq = sdtsldt0( xn, xp ) }.
% 0.73/1.12 (194) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xm, xm ) = sdtasdt0( xp, sdtasdt0(
% 0.73/1.12 xq, xq ) ) }.
% 0.73/1.12 (195) {G0,W3,D2,L1,V0,M1} { ! xm = xn }.
% 0.73/1.12 (196) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xn ) }.
% 0.73/1.12 (197) {G0,W2,D2,L1,V0,M1} { ! isPrime0( xp ) }.
% 0.73/1.12 (198) {G0,W1,D1,L1,V0,M1} { ! || }.
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Total Proof:
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for clauses
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12 *** allocated 22500 integers for clauses
% 0.73/1.12 *** allocated 22500 integers for termspace/termends
% 0.73/1.12 subsumption: (90) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 0.73/1.12 parent0: (190) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 *** allocated 33750 integers for clauses
% 0.73/1.12 *** allocated 33750 integers for termspace/termends
% 0.73/1.12 resolution: (1280) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.12 parent0[0]: (197) {G0,W2,D2,L1,V0,M1} { ! isPrime0( xp ) }.
% 0.73/1.12 parent1[0]: (90) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (97) {G1,W0,D0,L0,V0,M0} I;r(90) { }.
% 0.73/1.12 parent0: (1280) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 Proof check complete!
% 0.73/1.12
% 0.73/1.12 Memory use:
% 0.73/1.12
% 0.73/1.12 space for terms: 4066
% 0.73/1.12 space for clauses: 5355
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 clauses generated: 99
% 0.73/1.12 clauses kept: 98
% 0.73/1.12 clauses selected: 0
% 0.73/1.12 clauses deleted: 0
% 0.73/1.12 clauses inuse deleted: 0
% 0.73/1.12
% 0.73/1.12 subsentry: 12087
% 0.73/1.12 literals s-matched: 4079
% 0.73/1.12 literals matched: 2925
% 0.73/1.12 full subsumption: 1663
% 0.73/1.12
% 0.73/1.12 checksum: 179447262
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Bliksem ended
%------------------------------------------------------------------------------