TSTP Solution File: NUM519+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM519+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 06:23:09 EDT 2022
% Result : Theorem 4.41s 4.82s
% Output : Refutation 4.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM519+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n003.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 : Thu Jul 7 05:26:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.11 *** allocated 10000 integers for termspace/termends
% 0.44/1.11 *** allocated 10000 integers for clauses
% 0.44/1.11 *** allocated 10000 integers for justifications
% 0.44/1.11 Bliksem 1.12
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Automatic Strategy Selection
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Clauses:
% 0.44/1.11
% 0.44/1.11 { && }.
% 0.44/1.11 { aNaturalNumber0( sz00 ) }.
% 0.44/1.11 { aNaturalNumber0( sz10 ) }.
% 0.44/1.11 { ! sz10 = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.44/1.11 ( X, Y ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.44/1.11 ( X, Y ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.44/1.11 sdtpldt0( Y, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.44/1.11 sdtasdt0( Y, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.44/1.11 , Z ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.44/1.11 , X ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.44/1.11 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.44/1.11 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.44/1.11 , X = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.44/1.11 , Y = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.44/1.11 , X = sz00, Y = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.44/1.11 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.44/1.11 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.44/1.11 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.44/1.11 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.44/1.11 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.44/1.11 sdtlseqdt0( Y, X ), X = Y }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.44/1.11 X }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.44/1.11 sdtlseqdt0( Y, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.44/1.11 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.44/1.11 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.44/1.11 ) ) }.
% 0.44/1.11 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.44/1.11 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.44/1.11 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 1.16/1.60 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 1.16/1.60 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 1.16/1.60 ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.16/1.60 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.16/1.60 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 1.16/1.60 sdtasdt0( Z, X ) ) }.
% 1.16/1.60 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 1.16/1.60 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 1.16/1.60 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 1.16/1.60 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 1.16/1.60 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 1.16/1.60 ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 1.16/1.60 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 1.16/1.60 sdtasdt0( Y, X ) ) }.
% 1.16/1.60 { && }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.16/1.60 ), iLess0( X, Y ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 1.16/1.60 aNaturalNumber0( skol2( Z, T ) ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.16/1.60 sdtasdt0( X, skol2( X, Y ) ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.16/1.60 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.16/1.60 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.16/1.60 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.16/1.60 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 1.16/1.60 ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.16/1.60 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.16/1.60 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 1.16/1.60 ) ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.16/1.60 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 1.16/1.60 Z ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.16/1.60 sz00, sdtlseqdt0( X, Y ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.16/1.60 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 1.16/1.60 ( sdtasdt0( Z, Y ), X ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 1.16/1.60 { ! alpha1( X ), ! X = sz10 }.
% 1.16/1.60 { ! alpha1( X ), alpha2( X ) }.
% 1.16/1.60 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 1.16/1.60 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 1.16/1.60 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 1.16/1.60 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 1.16/1.60 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 1.16/1.60 { ! Y = sz10, alpha4( X, Y ) }.
% 1.16/1.60 { ! Y = X, alpha4( X, Y ) }.
% 1.16/1.60 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 1.16/1.60 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 1.16/1.60 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 1.16/1.60 }.
% 1.16/1.60 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 1.16/1.60 .
% 1.16/1.60 { aNaturalNumber0( xn ) }.
% 1.16/1.60 { aNaturalNumber0( xm ) }.
% 1.16/1.60 { aNaturalNumber0( xp ) }.
% 1.16/1.60 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.16/1.60 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 1.16/1.60 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), doDivides0(
% 1.16/1.60 Z, X ), doDivides0( Z, Y ) }.
% 1.16/1.60 { isPrime0( xp ) }.
% 1.16/1.60 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 1.16/1.60 { ! sdtlseqdt0( xp, xn ) }.
% 1.16/1.60 { ! sdtlseqdt0( xp, xm ) }.
% 1.16/1.60 { ! xn = xp }.
% 1.16/1.60 { sdtlseqdt0( xn, xp ) }.
% 4.41/4.82 { ! xm = xp }.
% 4.41/4.82 { sdtlseqdt0( xm, xp ) }.
% 4.41/4.82 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 4.41/4.82 { ! xk = sz00 }.
% 4.41/4.82 { ! xk = sz10 }.
% 4.41/4.82 { ! xk = sz00 }.
% 4.41/4.82 { ! xk = sz10 }.
% 4.41/4.82 { aNaturalNumber0( xr ) }.
% 4.41/4.82 { doDivides0( xr, xk ) }.
% 4.41/4.82 { isPrime0( xr ) }.
% 4.41/4.82 { sdtlseqdt0( xr, xk ) }.
% 4.41/4.82 { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 4.41/4.82 { ! xk = xp }.
% 4.41/4.82 { sdtlseqdt0( xk, xp ) }.
% 4.41/4.82 { doDivides0( xr, xn ), doDivides0( xr, xm ) }.
% 4.41/4.82 { ! doDivides0( xr, xn ) }.
% 4.41/4.82 { ! doDivides0( xr, xm ) }.
% 4.41/4.82 { ! doDivides0( xp, xn ) }.
% 4.41/4.82 { ! doDivides0( xp, xm ) }.
% 4.41/4.82
% 4.41/4.82 percentage equality = 0.275148, percentage horn = 0.740741
% 4.41/4.82 This is a problem with some equality
% 4.41/4.82
% 4.41/4.82
% 4.41/4.82
% 4.41/4.82 Options Used:
% 4.41/4.82
% 4.41/4.82 useres = 1
% 4.41/4.82 useparamod = 1
% 4.41/4.82 useeqrefl = 1
% 4.41/4.82 useeqfact = 1
% 4.41/4.82 usefactor = 1
% 4.41/4.82 usesimpsplitting = 0
% 4.41/4.82 usesimpdemod = 5
% 4.41/4.82 usesimpres = 3
% 4.41/4.82
% 4.41/4.82 resimpinuse = 1000
% 4.41/4.82 resimpclauses = 20000
% 4.41/4.82 substype = eqrewr
% 4.41/4.82 backwardsubs = 1
% 4.41/4.82 selectoldest = 5
% 4.41/4.82
% 4.41/4.82 litorderings [0] = split
% 4.41/4.82 litorderings [1] = extend the termordering, first sorting on arguments
% 4.41/4.82
% 4.41/4.82 termordering = kbo
% 4.41/4.82
% 4.41/4.82 litapriori = 0
% 4.41/4.82 termapriori = 1
% 4.41/4.82 litaposteriori = 0
% 4.41/4.82 termaposteriori = 0
% 4.41/4.82 demodaposteriori = 0
% 4.41/4.82 ordereqreflfact = 0
% 4.41/4.82
% 4.41/4.82 litselect = negord
% 4.41/4.82
% 4.41/4.82 maxweight = 15
% 4.41/4.82 maxdepth = 30000
% 4.41/4.82 maxlength = 115
% 4.41/4.82 maxnrvars = 195
% 4.41/4.82 excuselevel = 1
% 4.41/4.82 increasemaxweight = 1
% 4.41/4.82
% 4.41/4.82 maxselected = 10000000
% 4.41/4.82 maxnrclauses = 10000000
% 4.41/4.82
% 4.41/4.82 showgenerated = 0
% 4.41/4.82 showkept = 0
% 4.41/4.82 showselected = 0
% 4.41/4.82 showdeleted = 0
% 4.41/4.82 showresimp = 1
% 4.41/4.82 showstatus = 2000
% 4.41/4.82
% 4.41/4.82 prologoutput = 0
% 4.41/4.82 nrgoals = 5000000
% 4.41/4.82 totalproof = 1
% 4.41/4.82
% 4.41/4.82 Symbols occurring in the translation:
% 4.41/4.82
% 4.41/4.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.41/4.82 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 4.41/4.82 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 4.41/4.82 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 4.41/4.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.41/4.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.41/4.82 aNaturalNumber0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 4.41/4.82 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.41/4.82 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.41/4.82 sdtpldt0 [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 4.41/4.82 sdtasdt0 [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 4.41/4.82 sdtlseqdt0 [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 4.41/4.82 sdtmndt0 [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 4.41/4.82 iLess0 [45, 2] (w:1, o:55, a:1, s:1, b:0),
% 4.41/4.82 doDivides0 [46, 2] (w:1, o:56, a:1, s:1, b:0),
% 4.41/4.82 sdtsldt0 [47, 2] (w:1, o:57, a:1, s:1, b:0),
% 4.41/4.82 isPrime0 [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 4.41/4.82 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.41/4.82 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 4.41/4.82 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 4.41/4.82 xk [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 4.41/4.82 xr [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 4.41/4.82 alpha1 [54, 1] (w:1, o:23, a:1, s:1, b:1),
% 4.41/4.82 alpha2 [55, 1] (w:1, o:24, a:1, s:1, b:1),
% 4.41/4.82 alpha3 [56, 2] (w:1, o:58, a:1, s:1, b:1),
% 4.41/4.82 alpha4 [57, 2] (w:1, o:59, a:1, s:1, b:1),
% 4.41/4.82 alpha5 [58, 3] (w:1, o:62, a:1, s:1, b:1),
% 4.41/4.82 alpha6 [59, 3] (w:1, o:63, a:1, s:1, b:1),
% 4.41/4.82 skol1 [60, 2] (w:1, o:60, a:1, s:1, b:1),
% 4.41/4.82 skol2 [61, 2] (w:1, o:61, a:1, s:1, b:1),
% 4.41/4.82 skol3 [62, 1] (w:1, o:25, a:1, s:1, b:1),
% 4.41/4.82 skol4 [63, 1] (w:1, o:26, a:1, s:1, b:1).
% 4.41/4.82
% 4.41/4.82
% 4.41/4.82 Starting Search:
% 4.41/4.82
% 4.41/4.82 *** allocated 15000 integers for clauses
% 4.41/4.82 *** allocated 22500 integers for clauses
% 4.41/4.82 *** allocated 33750 integers for clauses
% 4.41/4.82 *** allocated 15000 integers for termspace/termends
% 4.41/4.82 *** allocated 50625 integers for clauses
% 4.41/4.82 *** allocated 22500 integers for termspace/termends
% 4.41/4.82 *** allocated 75937 integers for clauses
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 *** allocated 33750 integers for termspace/termends
% 4.41/4.82 *** allocated 113905 integers for clauses
% 4.41/4.82 *** allocated 50625 integers for termspace/termends
% 4.41/4.82
% 4.41/4.82 Intermediate Status:
% 4.41/4.82 Generated: 11768
% 4.41/4.82 Kept: 2073
% 4.41/4.82 Inuse: 132
% 4.41/4.82 Deleted: 4
% 4.41/4.82 Deletedinuse: 0
% 4.41/4.82
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 *** allocated 170857 integers for clauses
% 4.41/4.82 *** allocated 75937 integers for termspace/termends
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 *** allocated 256285 integers for clauses
% 4.41/4.82 *** allocated 113905 integers for termspace/termends
% 4.41/4.82
% 4.41/4.82 Intermediate Status:
% 4.41/4.82 Generated: 23636
% 4.41/4.82 Kept: 4162
% 4.41/4.82 Inuse: 176
% 4.41/4.82 Deleted: 6
% 4.41/4.82 Deletedinuse: 1
% 4.41/4.82
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 *** allocated 170857 integers for termspace/termends
% 4.41/4.82 *** allocated 384427 integers for clauses
% 4.41/4.82
% 4.41/4.82 Intermediate Status:
% 4.41/4.82 Generated: 42098
% 4.41/4.82 Kept: 6189
% 4.41/4.82 Inuse: 219
% 4.41/4.82 Deleted: 7
% 4.41/4.82 Deletedinuse: 1
% 4.41/4.82
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 *** allocated 256285 integers for termspace/termends
% 4.41/4.82
% 4.41/4.82 Intermediate Status:
% 4.41/4.82 Generated: 55521
% 4.41/4.82 Kept: 8338
% 4.41/4.82 Inuse: 257
% 4.41/4.82 Deleted: 12
% 4.41/4.82 Deletedinuse: 3
% 4.41/4.82
% 4.41/4.82 *** allocated 576640 integers for clauses
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82
% 4.41/4.82 Intermediate Status:
% 4.41/4.82 Generated: 77576
% 4.41/4.82 Kept: 10412
% 4.41/4.82 Inuse: 292
% 4.41/4.82 Deleted: 21
% 4.41/4.82 Deletedinuse: 7
% 4.41/4.82
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82 *** allocated 384427 integers for termspace/termends
% 4.41/4.82
% 4.41/4.82 Intermediate Status:
% 4.41/4.82 Generated: 92428
% 4.41/4.82 Kept: 12872
% 4.41/4.82 Inuse: 341
% 4.41/4.82 Deleted: 26
% 4.41/4.82 Deletedinuse: 11
% 4.41/4.82
% 4.41/4.82 *** allocated 864960 integers for clauses
% 4.41/4.82 Resimplifying inuse:
% 4.41/4.82 Done
% 4.41/4.82
% 4.41/4.82
% 4.41/4.82 Bliksems!, er is een bewijs:
% 4.41/4.82 % SZS status Theorem
% 4.41/4.82 % SZS output start Refutation
% 4.41/4.82
% 4.41/4.82 (103) {G0,W6,D2,L2,V0,M2} I { doDivides0( xr, xn ), doDivides0( xr, xm )
% 4.41/4.82 }.
% 4.41/4.82 (104) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xn ) }.
% 4.41/4.82 (105) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xm ) }.
% 4.41/4.82 (14054) {G1,W0,D0,L0,V0,M0} S(103);r(104);r(105) { }.
% 4.41/4.82
% 4.41/4.82
% 4.41/4.82 % SZS output end Refutation
% 4.41/4.82 found a proof!
% 4.41/4.82
% 4.41/4.82
% 4.41/4.82 Unprocessed initial clauses:
% 4.41/4.82
% 4.41/4.82 (14056) {G0,W1,D1,L1,V0,M1} { && }.
% 4.41/4.82 (14057) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 4.41/4.82 (14058) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 4.41/4.82 (14059) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 4.41/4.82 (14060) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.41/4.82 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 4.41/4.82 (14061) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.41/4.82 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 4.41/4.82 (14062) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 4.41/4.82 (14063) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 4.41/4.82 X, sdtpldt0( Y, Z ) ) }.
% 4.41/4.82 (14064) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 4.41/4.82 = X }.
% 4.41/4.82 (14065) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 4.41/4.82 X ) }.
% 4.41/4.82 (14066) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 4.41/4.82 (14067) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 4.41/4.82 X, sdtasdt0( Y, Z ) ) }.
% 4.41/4.82 (14068) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 4.41/4.82 = X }.
% 4.41/4.82 (14069) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 4.41/4.82 X ) }.
% 4.41/4.82 (14070) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 4.41/4.82 = sz00 }.
% 4.41/4.82 (14071) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 4.41/4.82 sz00, X ) }.
% 4.41/4.82 (14072) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 4.41/4.82 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 4.41/4.82 (14073) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 4.41/4.82 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 4.41/4.82 (14074) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 4.41/4.82 }.
% 4.41/4.82 (14075) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 4.41/4.82 }.
% 4.41/4.82 (14076) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 4.41/4.82 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 4.41/4.82 sdtasdt0( X, Z ), Y = Z }.
% 4.41/4.82 (14077) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 4.41/4.82 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 4.41/4.82 sdtasdt0( Z, X ), Y = Z }.
% 4.41/4.82 (14078) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 4.41/4.82 (14079) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 4.41/4.82 (14080) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 4.41/4.82 (14081) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 4.41/4.82 (14082) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 4.41/4.82 (14083) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 4.41/4.82 }.
% 4.41/4.82 (14084) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 4.41/4.82 }.
% 4.41/4.82 (14085) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 4.41/4.82 }.
% 4.41/4.82 (14086) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 4.41/4.82 , Z = sdtmndt0( Y, X ) }.
% 4.41/4.82 (14087) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 4.41/4.82 }.
% 4.41/4.82 (14088) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 4.41/4.82 (14089) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 4.41/4.82 sdtlseqdt0( X, Z ) }.
% 4.41/4.82 (14090) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 4.41/4.82 (14091) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.41/4.82 (14092) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 4.41/4.82 ) }.
% 4.41/4.82 (14093) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 4.41/4.82 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 4.41/4.82 (14094) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 4.41/4.82 sdtpldt0( Z, Y ) }.
% 4.41/4.82 (14095) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 4.41/4.82 Z, X ), sdtpldt0( Z, Y ) ) }.
% 4.41/4.82 (14096) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 4.41/4.82 sdtpldt0( Y, Z ) }.
% 4.41/4.82 (14097) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 4.41/4.82 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 4.41/4.82 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 4.41/4.82 (14098) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 4.41/4.82 alpha6( X, Y, Z ) }.
% 4.41/4.82 (14099) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 4.41/4.82 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 4.41/4.82 (14100) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 4.41/4.82 sdtasdt0( X, Z ) }.
% 4.41/4.82 (14101) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 4.41/4.82 X, Y ), sdtasdt0( X, Z ) ) }.
% 4.41/4.82 (14102) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 4.41/4.82 sdtasdt0( Z, X ) }.
% 4.41/4.82 (14103) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 4.41/4.82 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 4.41/4.82 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 4.41/4.82 (14104) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.41/4.82 , ! sz10 = X }.
% 4.41/4.82 (14105) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.41/4.82 , sdtlseqdt0( sz10, X ) }.
% 4.41/4.82 (14106) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 4.41/4.82 (14107) {G0,W1,D1,L1,V0,M1} { && }.
% 4.41/4.82 (14108) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 4.41/4.82 (14109) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 4.41/4.82 (14110) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 4.41/4.82 (14111) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 4.41/4.82 }.
% 4.41/4.82 (14112) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 4.41/4.82 aNaturalNumber0( Z ) }.
% 4.41/4.82 (14113) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 4.41/4.82 ( X, Z ) }.
% 4.41/4.82 (14114) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 4.41/4.82 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 4.41/4.82 (14115) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 4.41/4.82 doDivides0( X, Z ) }.
% 4.41/4.82 (14116) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 4.41/4.82 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 4.41/4.82 (14117) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 4.41/4.82 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 4.41/4.82 (14118) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 4.41/4.82 (14119) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 4.41/4.82 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 4.41/4.82 (14120) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 4.41/4.82 = sz00 }.
% 4.41/4.82 (14121) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 4.41/4.82 alpha1( X ) }.
% 4.41/4.82 (14122) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 4.41/4.82 X ), isPrime0( X ) }.
% 4.41/4.82 (14123) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 4.41/4.82 (14124) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 4.41/4.82 (14125) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 4.41/4.82 (14126) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 4.41/4.82 Y ) }.
% 4.41/4.82 (14127) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 4.41/4.82 (14128) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 4.41/4.82 (14129) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 4.41/4.82 (14130) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 4.41/4.82 (14131) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 4.41/4.82 (14132) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 4.41/4.82 (14133) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 4.41/4.82 (14134) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 4.41/4.82 , alpha3( X, Y ) }.
% 4.41/4.82 (14135) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.41/4.82 , aNaturalNumber0( skol4( Y ) ) }.
% 4.41/4.82 (14136) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.41/4.82 , isPrime0( skol4( Y ) ) }.
% 4.41/4.82 (14137) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.41/4.82 , doDivides0( skol4( X ), X ) }.
% 4.41/4.82 (14138) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 4.41/4.82 (14139) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 4.41/4.82 (14140) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 4.41/4.82 (14141) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.41/4.82 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 4.41/4.82 X, Y ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0(
% 4.41/4.82 xn, xm ), xp ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 4.41/4.82 (14142) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 4.41/4.82 (14143) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 4.41/4.82 (14144) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 4.41/4.82 (14145) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 4.41/4.82 (14146) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 4.41/4.82 (14147) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 4.41/4.83 (14148) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 4.41/4.83 (14149) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 4.41/4.83 (14150) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 4.41/4.83 (14151) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 4.41/4.83 (14152) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 4.41/4.83 (14153) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 4.41/4.83 (14154) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 4.41/4.83 (14155) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 4.41/4.83 (14156) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xk ) }.
% 4.41/4.83 (14157) {G0,W2,D2,L1,V0,M1} { isPrime0( xr ) }.
% 4.41/4.83 (14158) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xr, xk ) }.
% 4.41/4.83 (14159) {G0,W5,D3,L1,V0,M1} { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 4.41/4.83 (14160) {G0,W3,D2,L1,V0,M1} { ! xk = xp }.
% 4.41/4.83 (14161) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xk, xp ) }.
% 4.41/4.83 (14162) {G0,W6,D2,L2,V0,M2} { doDivides0( xr, xn ), doDivides0( xr, xm )
% 4.41/4.83 }.
% 4.41/4.83 (14163) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xr, xn ) }.
% 4.41/4.83 (14164) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xr, xm ) }.
% 4.41/4.83 (14165) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xn ) }.
% 4.41/4.83 (14166) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xm ) }.
% 4.41/4.83
% 4.41/4.83
% 4.41/4.83 Total Proof:
% 4.41/4.83
% 4.41/4.83 subsumption: (103) {G0,W6,D2,L2,V0,M2} I { doDivides0( xr, xn ), doDivides0
% 4.41/4.83 ( xr, xm ) }.
% 4.41/4.83 parent0: (14162) {G0,W6,D2,L2,V0,M2} { doDivides0( xr, xn ), doDivides0(
% 4.41/4.83 xr, xm ) }.
% 4.41/4.83 substitution0:
% 4.41/4.83 end
% 4.41/4.83 permutation0:
% 4.41/4.83 0 ==> 0
% 4.41/4.83 1 ==> 1
% 4.41/4.83 end
% 4.41/4.83
% 4.41/4.83 subsumption: (104) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xn ) }.
% 4.41/4.83 parent0: (14163) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xr, xn ) }.
% 4.41/4.83 substitution0:
% 4.41/4.83 end
% 4.41/4.83 permutation0:
% 4.41/4.83 0 ==> 0
% 4.41/4.83 end
% 4.41/4.83
% 4.41/4.83 subsumption: (105) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xm ) }.
% 4.41/4.83 parent0: (14164) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xr, xm ) }.
% 4.41/4.83 substitution0:
% 4.41/4.83 end
% 4.41/4.83 permutation0:
% 4.41/4.83 0 ==> 0
% 4.41/4.83 end
% 4.41/4.83
% 4.41/4.83 resolution: (15469) {G1,W3,D2,L1,V0,M1} { doDivides0( xr, xm ) }.
% 4.41/4.83 parent0[0]: (104) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xn ) }.
% 4.41/4.83 parent1[0]: (103) {G0,W6,D2,L2,V0,M2} I { doDivides0( xr, xn ), doDivides0
% 4.41/4.83 ( xr, xm ) }.
% 4.41/4.83 substitution0:
% 4.41/4.83 end
% 4.41/4.83 substitution1:
% 4.41/4.83 end
% 4.41/4.83
% 4.41/4.83 resolution: (15470) {G1,W0,D0,L0,V0,M0} { }.
% 4.41/4.83 parent0[0]: (105) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xm ) }.
% 4.41/4.83 parent1[0]: (15469) {G1,W3,D2,L1,V0,M1} { doDivides0( xr, xm ) }.
% 4.41/4.83 substitution0:
% 4.41/4.83 end
% 4.41/4.83 substitution1:
% 4.41/4.83 end
% 4.41/4.83
% 4.41/4.83 subsumption: (14054) {G1,W0,D0,L0,V0,M0} S(103);r(104);r(105) { }.
% 4.41/4.83 parent0: (15470) {G1,W0,D0,L0,V0,M0} { }.
% 4.41/4.83 substitution0:
% 4.41/4.83 end
% 4.41/4.83 permutation0:
% 4.41/4.83 end
% 4.41/4.83
% 4.41/4.83 Proof check complete!
% 4.41/4.83
% 4.41/4.83 Memory use:
% 4.41/4.83
% 4.41/4.83 space for terms: 298858
% 4.41/4.83 space for clauses: 614535
% 4.41/4.83
% 4.41/4.83
% 4.41/4.83 clauses generated: 103762
% 4.41/4.83 clauses kept: 14055
% 4.41/4.83 clauses selected: 365
% 4.41/4.83 clauses deleted: 28
% 4.41/4.83 clauses inuse deleted: 12
% 4.41/4.83
% 4.41/4.83 subsentry: 253293
% 4.41/4.83 literals s-matched: 155979
% 4.41/4.83 literals matched: 126037
% 4.41/4.83 full subsumption: 100616
% 4.41/4.83
% 4.41/4.83 checksum: -695885895
% 4.41/4.83
% 4.41/4.83
% 4.41/4.83 Bliksem ended
%------------------------------------------------------------------------------