TSTP Solution File: NUM482+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:22:44 EDT 2022
% Result : Theorem 4.14s 4.52s
% Output : Refutation 4.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Thu Jul 7 05:41:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.47/1.16 *** allocated 10000 integers for termspace/termends
% 0.47/1.16 *** allocated 10000 integers for clauses
% 0.47/1.16 *** allocated 10000 integers for justifications
% 0.47/1.16 Bliksem 1.12
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Automatic Strategy Selection
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Clauses:
% 0.47/1.16
% 0.47/1.16 { && }.
% 0.47/1.16 { aNaturalNumber0( sz00 ) }.
% 0.47/1.16 { aNaturalNumber0( sz10 ) }.
% 0.47/1.16 { ! sz10 = sz00 }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.47/1.16 ( X, Y ) ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.47/1.16 ( X, Y ) ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.47/1.16 sdtpldt0( Y, X ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.47/1.16 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.47/1.16 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.47/1.16 sdtasdt0( Y, X ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.47/1.16 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.47/1.16 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.47/1.16 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.47/1.16 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.47/1.16 , Z ) ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.47/1.16 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.47/1.16 , X ) ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.47/1.16 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.47/1.16 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.47/1.16 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.47/1.16 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.47/1.16 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.47/1.16 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.47/1.16 , X = sz00 }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.47/1.16 , Y = sz00 }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.47/1.16 , X = sz00, Y = sz00 }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.47/1.16 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.47/1.16 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.47/1.16 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.47/1.16 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.47/1.16 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.47/1.16 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.47/1.16 sdtlseqdt0( Y, X ), X = Y }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.47/1.16 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.47/1.16 X }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.47/1.16 sdtlseqdt0( Y, X ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.47/1.16 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.47/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.47/1.16 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.47/1.16 ) ) }.
% 0.47/1.16 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.47/1.16 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.47/1.16 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 4.14/4.52 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 4.14/4.52 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 4.14/4.52 ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 4.14/4.52 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 4.14/4.52 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 4.14/4.52 sdtasdt0( Z, X ) ) }.
% 4.14/4.52 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 4.14/4.52 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 4.14/4.52 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 4.14/4.52 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 4.14/4.52 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 4.14/4.52 ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 4.14/4.52 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 4.14/4.52 sdtasdt0( Y, X ) ) }.
% 4.14/4.52 { && }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 4.14/4.52 ), iLess0( X, Y ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 4.14/4.52 aNaturalNumber0( skol2( Z, T ) ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 4.14/4.52 sdtasdt0( X, skol2( X, Y ) ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 4.14/4.52 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 4.14/4.52 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 4.14/4.52 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 4.14/4.52 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 4.14/4.52 ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 4.14/4.52 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 4.14/4.52 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 4.14/4.52 ) ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 4.14/4.52 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 4.14/4.52 Z ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 4.14/4.52 sz00, sdtlseqdt0( X, Y ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 4.14/4.52 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 4.14/4.52 ( sdtasdt0( Z, Y ), X ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 4.14/4.52 { ! alpha1( X ), ! X = sz10 }.
% 4.14/4.52 { ! alpha1( X ), alpha2( X ) }.
% 4.14/4.52 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 4.14/4.52 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 4.14/4.52 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 4.14/4.52 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 4.14/4.52 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 4.14/4.52 { ! Y = sz10, alpha4( X, Y ) }.
% 4.14/4.52 { ! Y = X, alpha4( X, Y ) }.
% 4.14/4.52 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 4.14/4.52 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 4.14/4.52 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 4.14/4.52 { aNaturalNumber0( xk ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! iLess0( X, xk ),
% 4.14/4.52 aNaturalNumber0( skol4( Y ) ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! iLess0( X, xk ), isPrime0(
% 4.14/4.52 skol4( Y ) ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! iLess0( X, xk ), doDivides0
% 4.14/4.52 ( skol4( X ), X ) }.
% 4.14/4.52 { ! xk = sz00 }.
% 4.14/4.52 { ! xk = sz10 }.
% 4.14/4.52 { isPrime0( xk ) }.
% 4.14/4.52 { ! aNaturalNumber0( X ), ! doDivides0( X, xk ), ! isPrime0( X ) }.
% 4.14/4.52
% 4.14/4.52 percentage equality = 0.284345, percentage horn = 0.697674
% 4.14/4.52 This is a problem with some equality
% 4.14/4.52
% 4.14/4.52
% 4.14/4.52
% 4.14/4.52 Options Used:
% 4.14/4.52
% 4.14/4.52 useres = 1
% 4.14/4.52 useparamod = 1
% 4.14/4.52 useeqrefl = 1
% 4.14/4.52 useeqfact = 1
% 4.14/4.52 usefactor = 1
% 4.14/4.52 usesimpsplitting = 0
% 4.14/4.52 usesimpdemod = 5
% 4.14/4.52 usesimpres = 3
% 4.14/4.52
% 4.14/4.52 resimpinuse = 1000
% 4.14/4.52 resimpclauses = 20000
% 4.14/4.52 substype = eqrewr
% 4.14/4.52 backwardsubs = 1
% 4.14/4.52 selectoldest = 5
% 4.14/4.52
% 4.14/4.52 litorderings [0] = split
% 4.14/4.52 litorderings [1] = extend the termordering, first sorting on arguments
% 4.14/4.52
% 4.14/4.52 termordering = kbo
% 4.14/4.52
% 4.14/4.52 litapriori = 0
% 4.14/4.52 termapriori = 1
% 4.14/4.52 litaposteriori = 0
% 4.14/4.52 termaposteriori = 0
% 4.14/4.52 demodaposteriori = 0
% 4.14/4.52 ordereqreflfact = 0
% 4.14/4.52
% 4.14/4.52 litselect = negord
% 4.14/4.52
% 4.14/4.52 maxweight = 15
% 4.14/4.52 maxdepth = 30000
% 4.14/4.52 maxlength = 115
% 4.14/4.52 maxnrvars = 195
% 4.14/4.52 excuselevel = 1
% 4.14/4.52 increasemaxweight = 1
% 4.14/4.52
% 4.14/4.52 maxselected = 10000000
% 4.14/4.52 maxnrclauses = 10000000
% 4.14/4.52
% 4.14/4.52 showgenerated = 0
% 4.14/4.52 showkept = 0
% 4.14/4.52 showselected = 0
% 4.14/4.52 showdeleted = 0
% 4.14/4.52 showresimp = 1
% 4.14/4.52 showstatus = 2000
% 4.14/4.52
% 4.14/4.52 prologoutput = 0
% 4.14/4.52 nrgoals = 5000000
% 4.14/4.52 totalproof = 1
% 4.14/4.52
% 4.14/4.52 Symbols occurring in the translation:
% 4.14/4.52
% 4.14/4.52 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.14/4.52 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 4.14/4.52 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 4.14/4.52 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 4.14/4.52 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.14/4.52 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.14/4.52 aNaturalNumber0 [36, 1] (w:1, o:17, a:1, s:1, b:0),
% 4.14/4.52 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.14/4.52 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.14/4.52 sdtpldt0 [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 4.14/4.52 sdtasdt0 [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 4.14/4.52 sdtlseqdt0 [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 4.14/4.52 sdtmndt0 [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 4.14/4.52 iLess0 [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 4.14/4.52 doDivides0 [46, 2] (w:1, o:52, a:1, s:1, b:0),
% 4.14/4.52 sdtsldt0 [47, 2] (w:1, o:53, a:1, s:1, b:0),
% 4.14/4.52 isPrime0 [48, 1] (w:1, o:18, a:1, s:1, b:0),
% 4.14/4.52 xk [49, 0] (w:1, o:11, a:1, s:1, b:0),
% 4.14/4.52 alpha1 [50, 1] (w:1, o:19, a:1, s:1, b:1),
% 4.14/4.52 alpha2 [51, 1] (w:1, o:20, a:1, s:1, b:1),
% 4.14/4.52 alpha3 [52, 2] (w:1, o:54, a:1, s:1, b:1),
% 4.14/4.52 alpha4 [53, 2] (w:1, o:55, a:1, s:1, b:1),
% 4.14/4.52 alpha5 [54, 3] (w:1, o:58, a:1, s:1, b:1),
% 4.14/4.52 alpha6 [55, 3] (w:1, o:59, a:1, s:1, b:1),
% 4.14/4.52 skol1 [56, 2] (w:1, o:56, a:1, s:1, b:1),
% 4.14/4.52 skol2 [57, 2] (w:1, o:57, a:1, s:1, b:1),
% 4.14/4.52 skol3 [58, 1] (w:1, o:21, a:1, s:1, b:1),
% 4.14/4.52 skol4 [59, 1] (w:1, o:22, a:1, s:1, b:1).
% 4.14/4.52
% 4.14/4.52
% 4.14/4.52 Starting Search:
% 4.14/4.52
% 4.14/4.52 *** allocated 15000 integers for clauses
% 4.14/4.52 *** allocated 22500 integers for clauses
% 4.14/4.52 *** allocated 33750 integers for clauses
% 4.14/4.52 *** allocated 15000 integers for termspace/termends
% 4.14/4.52 *** allocated 50625 integers for clauses
% 4.14/4.52 *** allocated 75937 integers for clauses
% 4.14/4.52 *** allocated 22500 integers for termspace/termends
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52 *** allocated 113905 integers for clauses
% 4.14/4.52 *** allocated 33750 integers for termspace/termends
% 4.14/4.52 *** allocated 170857 integers for clauses
% 4.14/4.52
% 4.14/4.52 Intermediate Status:
% 4.14/4.52 Generated: 11767
% 4.14/4.52 Kept: 2008
% 4.14/4.52 Inuse: 122
% 4.14/4.52 Deleted: 3
% 4.14/4.52 Deletedinuse: 1
% 4.14/4.52
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52 *** allocated 50625 integers for termspace/termends
% 4.14/4.52 *** allocated 75937 integers for termspace/termends
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52 *** allocated 256285 integers for clauses
% 4.14/4.52
% 4.14/4.52 Intermediate Status:
% 4.14/4.52 Generated: 26534
% 4.14/4.52 Kept: 4027
% 4.14/4.52 Inuse: 182
% 4.14/4.52 Deleted: 13
% 4.14/4.52 Deletedinuse: 9
% 4.14/4.52
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52 *** allocated 113905 integers for termspace/termends
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52 *** allocated 384427 integers for clauses
% 4.14/4.52 *** allocated 170857 integers for termspace/termends
% 4.14/4.52
% 4.14/4.52 Intermediate Status:
% 4.14/4.52 Generated: 50469
% 4.14/4.52 Kept: 6250
% 4.14/4.52 Inuse: 224
% 4.14/4.52 Deleted: 36
% 4.14/4.52 Deletedinuse: 14
% 4.14/4.52
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52 *** allocated 256285 integers for termspace/termends
% 4.14/4.52 *** allocated 576640 integers for clauses
% 4.14/4.52
% 4.14/4.52 Intermediate Status:
% 4.14/4.52 Generated: 71576
% 4.14/4.52 Kept: 8256
% 4.14/4.52 Inuse: 269
% 4.14/4.52 Deleted: 43
% 4.14/4.52 Deletedinuse: 17
% 4.14/4.52
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52
% 4.14/4.52 Intermediate Status:
% 4.14/4.52 Generated: 86119
% 4.14/4.52 Kept: 10297
% 4.14/4.52 Inuse: 301
% 4.14/4.52 Deleted: 49
% 4.14/4.52 Deletedinuse: 20
% 4.14/4.52
% 4.14/4.52 Resimplifying inuse:
% 4.14/4.52 Done
% 4.14/4.52
% 4.14/4.52
% 4.14/4.52 Bliksems!, er is een bewijs:
% 4.14/4.52 % SZS status Theorem
% 4.14/4.52 % SZS output start Refutation
% 4.14/4.52
% 4.14/4.52 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 4.14/4.52 (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 4.14/4.52 ==> X }.
% 4.14/4.52 (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.14/4.52 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 4.14/4.52 }.
% 4.14/4.52 (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.14/4.52 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 4.14/4.52 }.
% 4.14/4.52 (78) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 4.14/4.52 (84) {G0,W2,D2,L1,V0,M1} I { isPrime0( xk ) }.
% 4.14/4.52 (85) {G0,W7,D2,L3,V1,M3} I { ! aNaturalNumber0( X ), ! doDivides0( X, xk )
% 4.14/4.52 , ! isPrime0( X ) }.
% 4.14/4.52 (876) {G1,W13,D3,L4,V2,M4} P(18,84);r(78) { isPrime0( X ), !
% 4.14/4.52 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtpldt0( Y, xk ) =
% 4.14/4.52 sdtpldt0( Y, X ) }.
% 4.14/4.52 (877) {G2,W11,D3,L3,V1,M3} F(876) { isPrime0( X ), ! aNaturalNumber0( X ),
% 4.14/4.52 ! sdtpldt0( X, xk ) = sdtpldt0( X, X ) }.
% 4.14/4.52 (6775) {G1,W10,D2,L4,V2,M4} R(54,2);d(12) { ! aNaturalNumber0( X ), !
% 4.14/4.52 aNaturalNumber0( Y ), doDivides0( X, Y ), ! Y = X }.
% 4.14/4.52 (6829) {G2,W5,D2,L2,V1,M2} F(6775);q { ! aNaturalNumber0( X ), doDivides0(
% 4.14/4.52 X, X ) }.
% 4.14/4.52 (11479) {G1,W18,D3,L6,V3,M6} P(18,85);r(78) { ! aNaturalNumber0( Y ), !
% 4.14/4.52 doDivides0( Y, X ), ! isPrime0( Y ), ! aNaturalNumber0( Z ), !
% 4.14/4.52 aNaturalNumber0( X ), ! sdtpldt0( Z, xk ) = sdtpldt0( Z, X ) }.
% 4.14/4.52 (11480) {G3,W13,D3,L4,V2,M4} F(11479);r(6829) { ! aNaturalNumber0( X ), !
% 4.14/4.52 isPrime0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( Y, xk ) = sdtpldt0( Y
% 4.14/4.52 , X ) }.
% 4.14/4.52 (11481) {G4,W9,D3,L2,V1,M2} F(11480);r(877) { ! aNaturalNumber0( X ), !
% 4.14/4.52 sdtpldt0( X, xk ) = sdtpldt0( X, X ) }.
% 4.14/4.52 (11482) {G5,W0,D0,L0,V0,M0} Q(11481);r(78) { }.
% 4.14/4.52
% 4.14/4.52
% 4.14/4.52 % SZS output end Refutation
% 4.14/4.52 found a proof!
% 4.14/4.52
% 4.14/4.52
% 4.14/4.52 Unprocessed initial clauses:
% 4.14/4.52
% 4.14/4.52 (11484) {G0,W1,D1,L1,V0,M1} { && }.
% 4.14/4.52 (11485) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 4.14/4.52 (11486) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 4.14/4.52 (11487) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 4.14/4.52 (11488) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.14/4.52 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 4.14/4.52 (11489) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.14/4.52 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 4.14/4.52 (11490) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 4.14/4.52 (11491) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 4.14/4.52 X, sdtpldt0( Y, Z ) ) }.
% 4.14/4.52 (11492) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 4.14/4.52 = X }.
% 4.14/4.52 (11493) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 4.14/4.52 X ) }.
% 4.14/4.52 (11494) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 4.14/4.52 (11495) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 4.14/4.52 X, sdtasdt0( Y, Z ) ) }.
% 4.14/4.52 (11496) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 4.14/4.52 = X }.
% 4.14/4.52 (11497) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 4.14/4.52 X ) }.
% 4.14/4.52 (11498) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 4.14/4.52 = sz00 }.
% 4.14/4.52 (11499) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 4.14/4.52 sz00, X ) }.
% 4.14/4.52 (11500) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 4.14/4.52 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 4.14/4.52 (11501) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 4.14/4.52 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 4.14/4.52 (11502) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 4.14/4.52 }.
% 4.14/4.52 (11503) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 4.14/4.52 }.
% 4.14/4.52 (11504) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 4.14/4.52 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 4.14/4.52 sdtasdt0( X, Z ), Y = Z }.
% 4.14/4.52 (11505) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 4.14/4.52 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 4.14/4.52 sdtasdt0( Z, X ), Y = Z }.
% 4.14/4.52 (11506) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 4.14/4.52 (11507) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 4.14/4.52 (11508) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 4.14/4.52 (11509) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 4.14/4.52 (11510) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 4.14/4.52 (11511) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 4.14/4.52 }.
% 4.14/4.52 (11512) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 4.14/4.52 }.
% 4.14/4.52 (11513) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 4.14/4.52 }.
% 4.14/4.52 (11514) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 4.14/4.52 , Z = sdtmndt0( Y, X ) }.
% 4.14/4.52 (11515) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 4.14/4.52 }.
% 4.14/4.52 (11516) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 4.14/4.52 (11517) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 4.14/4.52 sdtlseqdt0( X, Z ) }.
% 4.14/4.52 (11518) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 4.14/4.52 (11519) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.14/4.52 (11520) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 4.14/4.52 ) }.
% 4.14/4.52 (11521) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 4.14/4.52 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 4.14/4.52 (11522) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 4.14/4.52 sdtpldt0( Z, Y ) }.
% 4.14/4.52 (11523) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 4.14/4.52 Z, X ), sdtpldt0( Z, Y ) ) }.
% 4.14/4.52 (11524) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 4.14/4.52 sdtpldt0( Y, Z ) }.
% 4.14/4.52 (11525) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 4.14/4.52 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 4.14/4.52 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 4.14/4.52 (11526) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 4.14/4.52 alpha6( X, Y, Z ) }.
% 4.14/4.52 (11527) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 4.14/4.52 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 4.14/4.52 (11528) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 4.14/4.52 sdtasdt0( X, Z ) }.
% 4.14/4.52 (11529) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 4.14/4.52 X, Y ), sdtasdt0( X, Z ) ) }.
% 4.14/4.52 (11530) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 4.14/4.52 sdtasdt0( Z, X ) }.
% 4.14/4.52 (11531) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 4.14/4.52 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 4.14/4.52 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 4.14/4.52 (11532) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.14/4.52 , ! sz10 = X }.
% 4.14/4.52 (11533) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.14/4.52 , sdtlseqdt0( sz10, X ) }.
% 4.14/4.52 (11534) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 4.14/4.52 (11535) {G0,W1,D1,L1,V0,M1} { && }.
% 4.14/4.52 (11536) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 4.14/4.52 (11537) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 4.14/4.52 (11538) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 4.14/4.52 (11539) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 4.14/4.52 }.
% 4.14/4.52 (11540) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 4.14/4.52 aNaturalNumber0( Z ) }.
% 4.14/4.52 (11541) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 4.14/4.52 ( X, Z ) }.
% 4.14/4.52 (11542) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 4.14/4.52 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 4.14/4.52 (11543) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 4.14/4.52 doDivides0( X, Z ) }.
% 4.14/4.52 (11544) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 4.14/4.52 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 4.14/4.52 (11545) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 4.14/4.52 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 4.14/4.52 (11546) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 4.14/4.52 (11547) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.14/4.52 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 4.14/4.52 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 4.14/4.52 (11548) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 4.14/4.52 = sz00 }.
% 4.14/4.52 (11549) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 4.14/4.52 alpha1( X ) }.
% 4.14/4.52 (11550) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 4.14/4.52 X ), isPrime0( X ) }.
% 4.14/4.52 (11551) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 4.14/4.52 (11552) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 4.14/4.52 (11553) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 4.14/4.52 (11554) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 4.14/4.52 Y ) }.
% 4.14/4.52 (11555) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 4.14/4.52 (11556) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 4.14/4.52 (11557) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 4.14/4.52 (11558) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 4.14/4.52 (11559) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 4.14/4.52 (11560) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 4.14/4.52 (11561) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 4.14/4.52 (11562) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 4.14/4.52 , alpha3( X, Y ) }.
% 4.14/4.52 (11563) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 4.14/4.52 (11564) {G0,W14,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.14/4.52 , ! iLess0( X, xk ), aNaturalNumber0( skol4( Y ) ) }.
% 4.14/4.52 (11565) {G0,W14,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.14/4.52 , ! iLess0( X, xk ), isPrime0( skol4( Y ) ) }.
% 4.14/4.52 (11566) {G0,W15,D3,L5,V1,M5} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.14/4.52 , ! iLess0( X, xk ), doDivides0( skol4( X ), X ) }.
% 4.14/4.52 (11567) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 4.14/4.52 (11568) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 4.14/4.52 (11569) {G0,W2,D2,L1,V0,M1} { isPrime0( xk ) }.
% 4.14/4.52 (11570) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! doDivides0( X, xk
% 4.14/4.52 ), ! isPrime0( X ) }.
% 4.14/4.52
% 4.14/4.52
% 4.14/4.52 Total Proof:
% 4.14/4.52
% 4.14/4.52 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 4.14/4.52 parent0: (11486) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 4.14/4.52 substitution0:
% 4.14/4.52 end
% 4.14/4.52 permutation0:
% 4.14/4.52 0 ==> 0
% 4.14/4.52 end
% 4.14/4.52
% 4.14/4.52 subsumption: (12) {G0,W7Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------