%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM523+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 06:23:13 EDT 2022
% Result : Theorem 25.89s 26.28s
% Output : Refutation 25.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM523+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.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 02:06:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.09 *** allocated 10000 integers for termspace/termends
% 0.73/1.09 *** allocated 10000 integers for clauses
% 0.73/1.09 *** allocated 10000 integers for justifications
% 0.73/1.09 Bliksem 1.12
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Automatic Strategy Selection
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Clauses:
% 0.73/1.09
% 0.73/1.09 { && }.
% 0.73/1.09 { aNaturalNumber0( sz00 ) }.
% 0.73/1.09 { aNaturalNumber0( sz10 ) }.
% 0.73/1.09 { ! sz10 = sz00 }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.73/1.09 ( X, Y ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.73/1.09 ( X, Y ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.73/1.09 sdtpldt0( Y, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.09 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.73/1.09 sdtasdt0( Y, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.09 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.73/1.09 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.09 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.73/1.09 , Z ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.73/1.09 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.73/1.09 , X ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.09 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.09 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.73/1.09 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.73/1.09 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.73/1.09 , X = sz00 }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.73/1.09 , Y = sz00 }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.73/1.09 , X = sz00, Y = sz00 }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.73/1.09 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.73/1.09 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.09 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.73/1.09 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.73/1.09 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.73/1.09 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.73/1.09 sdtlseqdt0( Y, X ), X = Y }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.09 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.73/1.09 X }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.73/1.09 sdtlseqdt0( Y, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.73/1.09 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.73/1.09 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.73/1.09 ) ) }.
% 0.73/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.73/1.09 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.73/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.73/1.09 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.73/1.09 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.73/1.09 ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.73/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.73/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.73/1.09 sdtasdt0( Z, X ) ) }.
% 0.73/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.73/1.09 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.73/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.73/1.09 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.73/1.09 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.73/1.09 ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.73/1.09 sdtasdt0( Y, X ) ) }.
% 0.73/1.09 { && }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.73/1.09 ), iLess0( X, Y ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.73/1.09 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.73/1.09 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.09 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.73/1.09 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.73/1.09 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.73/1.09 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.73/1.09 ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.09 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.09 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.73/1.09 ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.09 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.73/1.09 Z ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.73/1.09 sz00, sdtlseqdt0( X, Y ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.73/1.09 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.73/1.09 ( sdtasdt0( Z, Y ), X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.73/1.09 { ! alpha1( X ), ! X = sz10 }.
% 0.73/1.09 { ! alpha1( X ), alpha2( X ) }.
% 0.73/1.09 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.73/1.09 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.73/1.09 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.73/1.09 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.73/1.09 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.73/1.09 { ! Y = sz10, alpha4( X, Y ) }.
% 0.73/1.09 { ! Y = X, alpha4( X, Y ) }.
% 0.73/1.09 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.73/1.09 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.73/1.09 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.73/1.09 }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.73/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.73/1.09 .
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.73/1.09 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ),
% 0.73/1.09 doDivides0( Z, Y ) }.
% 0.73/1.09 { aNaturalNumber0( xn ) }.
% 0.73/1.09 { aNaturalNumber0( xm ) }.
% 0.73/1.09 { aNaturalNumber0( xp ) }.
% 0.73/1.09 { ! xn = sz00 }.
% 0.73/1.09 { ! xm = sz00 }.
% 0.73/1.09 { ! xp = sz00 }.
% 0.73/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.73/1.09 = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z, sdtasdt0( Y, Y ) ) = sdtasdt0
% 0.73/1.09 ( X, X ), ! iLess0( X, xn ), Z = sz10, alpha7( Z ) }.
% 16.97/17.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 16.97/17.35 = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z, sdtasdt0( Y, Y ) ) = sdtasdt0
% 16.97/17.35 ( X, X ), ! iLess0( X, xn ), ! isPrime0( Z ) }.
% 16.97/17.35 { ! alpha7( X ), alpha9( X, skol5( X ) ) }.
% 16.97/17.35 { ! alpha7( X ), ! skol5( X ) = X }.
% 16.97/17.35 { ! alpha9( X, Y ), Y = X, alpha7( X ) }.
% 16.97/17.35 { ! alpha9( X, Y ), alpha10( X, Y ) }.
% 16.97/17.35 { ! alpha9( X, Y ), ! Y = sz10 }.
% 16.97/17.35 { ! alpha10( X, Y ), Y = sz10, alpha9( X, Y ) }.
% 16.97/17.35 { ! alpha10( X, Y ), alpha11( X, Y ) }.
% 16.97/17.35 { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 16.97/17.35 { ! alpha11( X, Y ), ! doDivides0( Y, X ), alpha10( X, Y ) }.
% 16.97/17.35 { ! alpha11( X, Y ), aNaturalNumber0( Y ) }.
% 16.97/17.35 { ! alpha11( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 16.97/17.35 { ! alpha11( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 16.97/17.35 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 16.97/17.35 alpha11( X, Y ) }.
% 16.97/17.35 { sdtasdt0( xp, sdtasdt0( xm, xm ) ) = sdtasdt0( xn, xn ) }.
% 16.97/17.35 { ! xp = sz10 }.
% 16.97/17.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 16.97/17.35 X = sz10, X = xp }.
% 16.97/17.35 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 16.97/17.35 { isPrime0( xp ) }.
% 16.97/17.35 { alpha8, ! aNaturalNumber0( X ), ! xn = sdtasdt0( xp, X ) }.
% 16.97/17.35 { alpha8, ! doDivides0( xp, xn ) }.
% 16.97/17.35 { ! alpha8, ! aNaturalNumber0( X ), ! sdtasdt0( xn, xn ) = sdtasdt0( xp, X
% 16.97/17.35 ) }.
% 16.97/17.35 { ! alpha8, ! doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 16.97/17.35 { aNaturalNumber0( skol7 ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }
% 16.97/17.35 .
% 16.97/17.35 { sdtasdt0( xn, xn ) = sdtasdt0( xp, skol7 ), doDivides0( xp, sdtasdt0( xn
% 16.97/17.35 , xn ) ), alpha8 }.
% 16.97/17.35
% 16.97/17.35 percentage equality = 0.291878, percentage horn = 0.692982
% 16.97/17.35 This is a problem with some equality
% 16.97/17.35
% 16.97/17.35
% 16.97/17.35
% 16.97/17.35 Options Used:
% 16.97/17.35
% 16.97/17.35 useres = 1
% 16.97/17.35 useparamod = 1
% 16.97/17.35 useeqrefl = 1
% 16.97/17.35 useeqfact = 1
% 16.97/17.35 usefactor = 1
% 16.97/17.35 usesimpsplitting = 0
% 16.97/17.35 usesimpdemod = 5
% 16.97/17.35 usesimpres = 3
% 16.97/17.35
% 16.97/17.35 resimpinuse = 1000
% 16.97/17.35 resimpclauses = 20000
% 16.97/17.35 substype = eqrewr
% 16.97/17.35 backwardsubs = 1
% 16.97/17.35 selectoldest = 5
% 16.97/17.35
% 16.97/17.35 litorderings [0] = split
% 16.97/17.35 litorderings [1] = extend the termordering, first sorting on arguments
% 16.97/17.35
% 16.97/17.35 termordering = kbo
% 16.97/17.35
% 16.97/17.35 litapriori = 0
% 16.97/17.35 termapriori = 1
% 16.97/17.35 litaposteriori = 0
% 16.97/17.35 termaposteriori = 0
% 16.97/17.35 demodaposteriori = 0
% 16.97/17.35 ordereqreflfact = 0
% 16.97/17.35
% 16.97/17.35 litselect = negord
% 16.97/17.35
% 16.97/17.35 maxweight = 15
% 16.97/17.35 maxdepth = 30000
% 16.97/17.35 maxlength = 115
% 16.97/17.35 maxnrvars = 195
% 16.97/17.35 excuselevel = 1
% 16.97/17.35 increasemaxweight = 1
% 16.97/17.35
% 16.97/17.35 maxselected = 10000000
% 16.97/17.35 maxnrclauses = 10000000
% 16.97/17.35
% 16.97/17.35 showgenerated = 0
% 16.97/17.35 showkept = 0
% 16.97/17.35 showselected = 0
% 16.97/17.35 showdeleted = 0
% 16.97/17.35 showresimp = 1
% 16.97/17.35 showstatus = 2000
% 16.97/17.35
% 16.97/17.35 prologoutput = 0
% 16.97/17.35 nrgoals = 5000000
% 16.97/17.35 totalproof = 1
% 16.97/17.35
% 16.97/17.35 Symbols occurring in the translation:
% 16.97/17.35
% 16.97/17.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 16.97/17.35 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 16.97/17.35 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 16.97/17.35 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 16.97/17.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 16.97/17.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 16.97/17.35 aNaturalNumber0 [36, 1] (w:1, o:23, a:1, s:1, b:0),
% 16.97/17.35 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 16.97/17.35 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 16.97/17.35 sdtpldt0 [40, 2] (w:1, o:55, a:1, s:1, b:0),
% 16.97/17.35 sdtasdt0 [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 16.97/17.35 sdtlseqdt0 [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 16.97/17.35 sdtmndt0 [44, 2] (w:1, o:58, a:1, s:1, b:0),
% 16.97/17.35 iLess0 [45, 2] (w:1, o:59, a:1, s:1, b:0),
% 16.97/17.35 doDivides0 [46, 2] (w:1, o:60, a:1, s:1, b:0),
% 16.97/17.35 sdtsldt0 [47, 2] (w:1, o:61, a:1, s:1, b:0),
% 16.97/17.35 isPrime0 [48, 1] (w:1, o:24, a:1, s:1, b:0),
% 16.97/17.35 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 16.97/17.35 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 16.97/17.35 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 16.97/17.35 alpha1 [54, 1] (w:1, o:25, a:1, s:1, b:1),
% 16.97/17.35 alpha2 [55, 1] (w:1, o:26, a:1, s:1, b:1),
% 16.97/17.35 alpha3 [56, 2] (w:1, o:62, a:1, s:1, b:1),
% 16.97/17.35 alpha4 [57, 2] (w:1, o:63, a:1, s:1, b:1),
% 16.97/17.35 alpha5 [58, 3] (w:1, o:70, a:1, s:1, b:1),
% 16.97/17.35 alpha6 [59, 3] (w:1, o:71, a:1, s:1, b:1),
% 16.97/17.35 alpha7 [60, 1] (w:1, o:27, a:1, s:1, b:1),
% 16.97/17.35 alpha8 [61, 0] (w:1, o:16, a:1, s:1, b:1),
% 16.97/17.35 alpha9 [62, 2] (w:1, o:64, a:1, s:1, b:1),
% 25.89/26.28 alpha10 [63, 2] (w:1, o:65, a:1, s:1, b:1),
% 25.89/26.28 alpha11 [64, 2] (w:1, o:66, a:1, s:1, b:1),
% 25.89/26.28 skol1 [65, 2] (w:1, o:67, a:1, s:1, b:1),
% 25.89/26.28 skol2 [66, 2] (w:1, o:68, a:1, s:1, b:1),
% 25.89/26.28 skol3 [67, 1] (w:1, o:28, a:1, s:1, b:1),
% 25.89/26.28 skol4 [68, 1] (w:1, o:29, a:1, s:1, b:1),
% 25.89/26.28 skol5 [69, 1] (w:1, o:30, a:1, s:1, b:1),
% 25.89/26.28 skol6 [70, 2] (w:1, o:69, a:1, s:1, b:1),
% 25.89/26.28 skol7 [71, 0] (w:1, o:17, a:1, s:1, b:1).
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Starting Search:
% 25.89/26.28
% 25.89/26.28 *** allocated 15000 integers for clauses
% 25.89/26.28 *** allocated 22500 integers for clauses
% 25.89/26.28 *** allocated 33750 integers for clauses
% 25.89/26.28 *** allocated 15000 integers for termspace/termends
% 25.89/26.28 *** allocated 50625 integers for clauses
% 25.89/26.28 *** allocated 22500 integers for termspace/termends
% 25.89/26.28 *** allocated 75937 integers for clauses
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 33750 integers for termspace/termends
% 25.89/26.28 *** allocated 113905 integers for clauses
% 25.89/26.28 *** allocated 50625 integers for termspace/termends
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 11912
% 25.89/26.28 Kept: 2026
% 25.89/26.28 Inuse: 139
% 25.89/26.28 Deleted: 1
% 25.89/26.28 Deletedinuse: 0
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 170857 integers for clauses
% 25.89/26.28 *** allocated 75937 integers for termspace/termends
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 256285 integers for clauses
% 25.89/26.28 *** allocated 113905 integers for termspace/termends
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 31094
% 25.89/26.28 Kept: 4299
% 25.89/26.28 Inuse: 198
% 25.89/26.28 Deleted: 4
% 25.89/26.28 Deletedinuse: 1
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 170857 integers for termspace/termends
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 384427 integers for clauses
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 49698
% 25.89/26.28 Kept: 6414
% 25.89/26.28 Inuse: 237
% 25.89/26.28 Deleted: 10
% 25.89/26.28 Deletedinuse: 1
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 256285 integers for termspace/termends
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 68635
% 25.89/26.28 Kept: 8429
% 25.89/26.28 Inuse: 275
% 25.89/26.28 Deleted: 13
% 25.89/26.28 Deletedinuse: 2
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 576640 integers for clauses
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 86195
% 25.89/26.28 Kept: 10902
% 25.89/26.28 Inuse: 321
% 25.89/26.28 Deleted: 18
% 25.89/26.28 Deletedinuse: 3
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 384427 integers for termspace/termends
% 25.89/26.28 *** allocated 864960 integers for clauses
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 107912
% 25.89/26.28 Kept: 13360
% 25.89/26.28 Inuse: 371
% 25.89/26.28 Deleted: 26
% 25.89/26.28 Deletedinuse: 11
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 120414
% 25.89/26.28 Kept: 15390
% 25.89/26.28 Inuse: 421
% 25.89/26.28 Deleted: 28
% 25.89/26.28 Deletedinuse: 13
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 134249
% 25.89/26.28 Kept: 17535
% 25.89/26.28 Inuse: 523
% 25.89/26.28 Deleted: 49
% 25.89/26.28 Deletedinuse: 26
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 1297440 integers for clauses
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 161198
% 25.89/26.28 Kept: 20017
% 25.89/26.28 Inuse: 660
% 25.89/26.28 Deleted: 71
% 25.89/26.28 Deletedinuse: 35
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying clauses:
% 25.89/26.28 *** allocated 576640 integers for termspace/termends
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 168761
% 25.89/26.28 Kept: 22017
% 25.89/26.28 Inuse: 670
% 25.89/26.28 Deleted: 5638
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 201738
% 25.89/26.28 Kept: 24068
% 25.89/26.28 Inuse: 748
% 25.89/26.28 Deleted: 5638
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 226080
% 25.89/26.28 Kept: 26093
% 25.89/26.28 Inuse: 804
% 25.89/26.28 Deleted: 5639
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 238525
% 25.89/26.28 Kept: 28120
% 25.89/26.28 Inuse: 848
% 25.89/26.28 Deleted: 5639
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 *** allocated 1946160 integers for clauses
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 249218
% 25.89/26.28 Kept: 30168
% 25.89/26.28 Inuse: 875
% 25.89/26.28 Deleted: 5639
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 259363
% 25.89/26.28 Kept: 32458
% 25.89/26.28 Inuse: 904
% 25.89/26.28 Deleted: 5639
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 265012
% 25.89/26.28 Kept: 34544
% 25.89/26.28 Inuse: 919
% 25.89/26.28 Deleted: 5639
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 *** allocated 864960 integers for termspace/termends
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 273763
% 25.89/26.28 Kept: 36616
% 25.89/26.28 Inuse: 936
% 25.89/26.28 Deleted: 5639
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 283192
% 25.89/26.28 Kept: 38724
% 25.89/26.28 Inuse: 964
% 25.89/26.28 Deleted: 5639
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Intermediate Status:
% 25.89/26.28 Generated: 297177
% 25.89/26.28 Kept: 40805
% 25.89/26.28 Inuse: 1019
% 25.89/26.28 Deleted: 5639
% 25.89/26.28 Deletedinuse: 39
% 25.89/26.28
% 25.89/26.28 *** allocated 2919240 integers for clauses
% 25.89/26.28 Resimplifying inuse:
% 25.89/26.28 Done
% 25.89/26.28
% 25.89/26.28 Resimplifying clauses:
% 25.89/26.28
% 25.89/26.28 Bliksems!, er is een bewijs:
% 25.89/26.28 % SZS status Theorem
% 25.89/26.28 % SZS output start Refutation
% 25.89/26.28
% 25.89/26.28 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 25.89/26.28 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.89/26.28 (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.89/26.28 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 25.89/26.28 }.
% 25.89/26.28 (81) {G0,W19,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.89/26.28 ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X
% 25.89/26.28 , Y ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 25.89/26.28 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.89/26.28 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.89/26.28 (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 25.89/26.28 (103) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm ) ) ==>
% 25.89/26.28 sdtasdt0( xn, xn ) }.
% 25.89/26.28 (107) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 25.89/26.28 (109) {G0,W4,D2,L2,V0,M2} I { alpha8, ! doDivides0( xp, xn ) }.
% 25.89/26.28 (110) {G0,W10,D3,L3,V1,M3} I { ! alpha8, ! aNaturalNumber0( X ), ! sdtasdt0
% 25.89/26.28 ( xn, xn ) = sdtasdt0( xp, X ) }.
% 25.89/26.28 (112) {G0,W8,D3,L3,V0,M3} I { aNaturalNumber0( skol7 ), doDivides0( xp,
% 25.89/26.28 sdtasdt0( xn, xn ) ), alpha8 }.
% 25.89/26.28 (113) {G0,W13,D3,L3,V0,M3} I { sdtasdt0( xp, skol7 ) ==> sdtasdt0( xn, xn )
% 25.89/26.28 , doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.89/26.28 (115) {G1,W6,D3,L2,V1,M2} F(5) { ! aNaturalNumber0( X ), aNaturalNumber0(
% 25.89/26.28 sdtasdt0( X, X ) ) }.
% 25.89/26.28 (249) {G1,W14,D3,L5,V2,M5} F(81);f { ! aNaturalNumber0( X ), !
% 25.89/26.28 aNaturalNumber0( Y ), ! isPrime0( Y ), ! doDivides0( Y, sdtasdt0( X, X )
% 25.89/26.28 ), doDivides0( Y, X ) }.
% 25.89/26.28 (275) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ), aNaturalNumber0
% 25.89/26.28 ( sdtasdt0( xn, X ) ) }.
% 25.89/26.28 (1561) {G2,W4,D3,L1,V0,M1} R(275,82) { aNaturalNumber0( sdtasdt0( xn, xn )
% 25.89/26.28 ) }.
% 25.89/26.28 (15790) {G1,W18,D3,L6,V1,M6} P(113,54);r(84) { ! aNaturalNumber0( X ), !
% 25.89/26.28 aNaturalNumber0( skol7 ), ! X = sdtasdt0( xn, xn ), doDivides0( xp, X ),
% 25.89/26.28 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.89/26.28 (15867) {G3,W8,D3,L3,V0,M3} F(15790);q;r(1561) { ! aNaturalNumber0( skol7 )
% 25.89/26.28 , doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.89/26.28 (16182) {G2,W4,D3,L1,V0,M1} R(115,83) { aNaturalNumber0( sdtasdt0( xm, xm )
% 25.89/26.28 ) }.
% 25.89/26.28 (16191) {G3,W1,D1,L1,V0,M1} R(16182,110);d(103);q { ! alpha8 }.
% 25.89/26.28 (16244) {G4,W7,D3,L2,V0,M2} R(16191,112) { aNaturalNumber0( skol7 ),
% 25.89/26.28 doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.89/26.28 (16252) {G4,W3,D2,L1,V0,M1} R(16191,109) { ! doDivides0( xp, xn ) }.
% 25.89/26.28 (20558) {G5,W5,D3,L1,V0,M1} S(15867);r(16244);r(16191) { doDivides0( xp,
% 25.89/26.28 sdtasdt0( xn, xn ) ) }.
% 25.89/26.28 (26362) {G5,W9,D3,L3,V0,M3} R(249,16252);r(82) { ! aNaturalNumber0( xp ), !
% 25.89/26.28 isPrime0( xp ), ! doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.89/26.28 (41754) {G6,W0,D0,L0,V0,M0} S(26362);r(84);r(107);r(20558) { }.
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 % SZS output end Refutation
% 25.89/26.28 found a proof!
% 25.89/26.28
% 25.89/26.28
% 25.89/26.28 Unprocessed initial clauses:
% 25.89/26.28
% 25.89/26.28 (41756) {G0,W1,D1,L1,V0,M1} { && }.
% 25.89/26.28 (41757) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 25.89/26.28 (41758) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 25.89/26.28 (41759) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 25.89/26.28 (41760) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.89/26.28 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.89/26.28 (41761) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.89/26.28 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.89/26.28 (41762) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.89/26.28 (41763) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 25.89/26.28 X, sdtpldt0( Y, Z ) ) }.
% 25.89/26.28 (41764) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 25.89/26.28 = X }.
% 25.89/26.28 (41765) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 25.89/26.28 X ) }.
% 25.89/26.28 (41766) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 25.89/26.28 (41767) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 25.89/26.28 X, sdtasdt0( Y, Z ) ) }.
% 25.89/26.28 (41768) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 25.89/26.28 = X }.
% 25.89/26.28 (41769) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 25.89/26.28 X ) }.
% 25.89/26.28 (41770) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 25.89/26.28 = sz00 }.
% 25.89/26.28 (41771) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 25.89/26.28 sz00, X ) }.
% 25.89/26.28 (41772) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 25.89/26.28 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 25.89/26.28 (41773) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 25.89/26.28 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 25.89/26.28 (41774) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 25.89/26.28 }.
% 25.89/26.28 (41775) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 25.89/26.28 }.
% 25.89/26.28 (41776) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 25.89/26.28 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.89/26.28 sdtasdt0( X, Z ), Y = Z }.
% 25.89/26.28 (41777) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 25.89/26.28 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 25.89/26.28 sdtasdt0( Z, X ), Y = Z }.
% 25.89/26.28 (41778) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 25.89/26.28 (41779) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 25.89/26.28 (41780) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 25.89/26.28 (41781) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 25.89/26.28 (41782) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 25.89/26.28 (41783) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 25.89/26.28 }.
% 25.89/26.28 (41784) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 25.89/26.28 }.
% 25.89/26.28 (41785) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 25.89/26.28 }.
% 25.89/26.28 (41786) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 25.89/26.28 , Z = sdtmndt0( Y, X ) }.
% 25.89/26.28 (41787) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 25.89/26.28 }.
% 25.89/26.28 (41788) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 25.89/26.28 (41789) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 25.89/26.28 sdtlseqdt0( X, Z ) }.
% 25.89/26.28 (41790) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 25.89/26.28 (41791) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 25.89/26.28 (41792) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 25.89/26.28 ) }.
% 25.89/26.28 (41793) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 25.89/26.28 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 25.89/26.28 (41794) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 25.89/26.28 sdtpldt0( Z, Y ) }.
% 25.89/26.28 (41795) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 25.89/26.28 Z, X ), sdtpldt0( Z, Y ) ) }.
% 25.89/26.28 (41796) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 25.89/26.28 sdtpldt0( Y, Z ) }.
% 25.89/26.28 (41797) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 25.89/26.28 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 25.89/26.28 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 25.89/26.28 (41798) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 25.89/26.28 alpha6( X, Y, Z ) }.
% 25.89/26.28 (41799) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 25.89/26.28 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 25.89/26.28 (41800) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 25.89/26.28 sdtasdt0( X, Z ) }.
% 25.89/26.28 (41801) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 25.89/26.28 X, Y ), sdtasdt0( X, Z ) ) }.
% 25.89/26.28 (41802) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 25.89/26.28 sdtasdt0( Z, X ) }.
% 25.89/26.28 (41803) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 25.89/26.28 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 25.89/26.28 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 25.89/26.28 (41804) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.89/26.28 , ! sz10 = X }.
% 25.89/26.28 (41805) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.89/26.28 , sdtlseqdt0( sz10, X ) }.
% 25.89/26.28 (41806) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 25.89/26.28 (41807) {G0,W1,D1,L1,V0,M1} { && }.
% 25.89/26.28 (41808) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 25.89/26.28 (41809) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 25.89/26.28 (41810) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 25.89/26.28 (41811) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 25.89/26.28 }.
% 25.89/26.28 (41812) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 25.89/26.28 aNaturalNumber0( Z ) }.
% 25.89/26.28 (41813) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 25.89/26.28 ( X, Z ) }.
% 25.89/26.28 (41814) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 25.89/26.28 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 25.89/26.28 (41815) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 25.89/26.28 doDivides0( X, Z ) }.
% 25.89/26.28 (41816) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 25.89/26.28 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 25.89/26.28 (41817) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 25.89/26.28 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 25.89/26.28 (41818) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 25.89/26.28 (41819) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 25.89/26.28 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 25.89/26.28 (41820) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 25.89/26.28 = sz00 }.
% 25.89/26.28 (41821) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 25.89/26.28 alpha1( X ) }.
% 25.89/26.28 (41822) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 25.89/26.28 X ), isPrime0( X ) }.
% 25.89/26.28 (41823) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 25.89/26.28 (41824) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 25.89/26.28 (41825) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 25.89/26.28 (41826) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 25.89/26.28 Y ) }.
% 25.89/26.28 (41827) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 25.89/26.28 (41828) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 25.89/26.28 (41829) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 25.89/26.28 (41830) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 25.89/26.28 (41831) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 25.89/26.28 (41832) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 25.89/26.28 (41833) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 25.89/26.28 (41834) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 25.89/26.28 , alpha3( X, Y ) }.
% 25.89/26.28 (41835) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.89/26.28 , aNaturalNumber0( skol4( Y ) ) }.
% 25.89/26.28 (41836) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.89/26.28 , isPrime0( skol4( Y ) ) }.
% 25.89/26.28 (41837) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.89/26.28 , doDivides0( skol4( X ), X ) }.
% 25.89/26.28 (41838) {G0,W19,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 25.89/26.28 X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 25.89/26.28 (41839) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 25.89/26.28 (41840) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 25.89/26.28 (41841) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 25.89/26.28 (41842) {G0,W3,D2,L1,V0,M1} { ! xn = sz00 }.
% 25.89/26.28 (41843) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 25.89/26.28 (41844) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 25.89/26.28 (41845) {G0,W32,D4,L10,V3,M10} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 25.89/26.28 ( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = sz00, Z = sz00, ! sdtasdt0(
% 25.89/26.28 Z, sdtasdt0( Y, Y ) ) = sdtasdt0( X, X ), ! iLess0( X, xn ), Z = sz10,
% 25.89/26.28 alpha7( Z ) }.
% 25.89/26.28 (41846) {G0,W29,D4,L9,V3,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z
% 25.89/26.28 , sdtasdt0( Y, Y ) ) = sdtasdt0( X, X ), ! iLess0( X, xn ), ! isPrime0( Z
% 25.89/26.28 ) }.
% 25.89/26.28 (41847) {G0,W6,D3,L2,V1,M2} { ! alpha7( X ), alpha9( X, skol5( X ) ) }.
% 25.89/26.28 (41848) {G0,W6,D3,L2,V1,M2} { ! alpha7( X ), ! skol5( X ) = X }.
% 25.89/26.28 (41849) {G0,W8,D2,L3,V2,M3} { ! alpha9( X, Y ), Y = X, alpha7( X ) }.
% 25.89/26.28 (41850) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha10( X, Y ) }.
% 25.89/26.28 (41851) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), ! Y = sz10 }.
% 25.89/26.28 (41852) {G0,W9,D2,L3,V2,M3} { ! alpha10( X, Y ), Y = sz10, alpha9( X, Y )
% 25.89/26.28 }.
% 25.89/26.28 (41853) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha11( X, Y ) }.
% 25.89/26.28 (41854) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 25.89/26.28 (41855) {G0,W9,D2,L3,V2,M3} { ! alpha11( X, Y ), ! doDivides0( Y, X ),
% 25.89/26.28 alpha10( X, Y ) }.
% 25.89/26.28 (41856) {G0,W5,D2,L2,V2,M2} { ! alpha11( X, Y ), aNaturalNumber0( Y ) }.
% 25.89/26.28 (41857) {G0,W7,D3,L2,V4,M2} { ! alpha11( X, Y ), aNaturalNumber0( skol6( Z
% 25.89/26.28 , T ) ) }.
% 25.89/26.28 (41858) {G0,W10,D4,L2,V2,M2} { ! alpha11( X, Y ), X = sdtasdt0( Y, skol6(
% 25.89/26.28 X, Y ) ) }.
% 25.89/26.28 (41859) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 25.89/26.28 Z ), ! X = sdtasdt0( Y, Z ), alpha11( X, Y ) }.
% 25.89/26.28 (41860) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) ) =
% 25.89/26.28 sdtasdt0( xn, xn ) }.
% 25.89/26.28 (41861) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 25.89/26.28 (41862) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.89/26.28 Y ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 25.89/26.28 (41863) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp
% 25.89/26.28 ), X = sz10, X = xp }.
% 25.89/26.28 (41864) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 25.89/26.28 (41865) {G0,W8,D3,L3,V1,M3} { alpha8, ! aNaturalNumber0( X ), ! xn =
% 25.89/26.28 sdtasdt0( xp, X ) }.
% 25.89/26.28 (41866) {G0,W4,D2,L2,V0,M2} { alpha8, ! doDivides0( xp, xn ) }.
% 25.89/26.28 (41867) {G0,W10,D3,L3,V1,M3} { ! alpha8, ! aNaturalNumber0( X ), !
% 25.89/26.28 sdtasdt0( xn, xn ) = sdtasdt0( xp, X ) }.
% 25.89/26.28 (41868) {G0,W6,D3,L2,V0,M2} { ! alpha8, ! doDivides0( xp, sdtasdt0( xn, xn
% 25.99/26.34 ) ) }.
% 25.99/26.34 (41869) {G0,W8,D3,L3,V0,M3} { aNaturalNumber0( skol7 ), doDivides0( xp,
% 25.99/26.34 sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 (41870) {G0,W13,D3,L3,V0,M3} { sdtasdt0( xn, xn ) = sdtasdt0( xp, skol7 )
% 25.99/26.34 , doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34
% 25.99/26.34
% 25.99/26.34 Total Proof:
% 25.99/26.34
% 25.99/26.34 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.99/26.34 parent0: (41761) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 Y := Y
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 2 ==> 2
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 25.99/26.34 doDivides0( X, Y ) }.
% 25.99/26.34 parent0: (41811) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 25.99/26.34 doDivides0( X, Y ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 Y := Y
% 25.99/26.34 Z := Z
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 2 ==> 2
% 25.99/26.34 3 ==> 3
% 25.99/26.34 4 ==> 4
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (81) {G0,W19,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), !
% 25.99/26.34 doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y )
% 25.99/26.34 }.
% 25.99/26.34 parent0: (41838) {G0,W19,D3,L7,V3,M7} { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), !
% 25.99/26.34 doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y )
% 25.99/26.34 }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 Y := Y
% 25.99/26.34 Z := Z
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 2 ==> 2
% 25.99/26.34 3 ==> 3
% 25.99/26.34 4 ==> 4
% 25.99/26.34 5 ==> 5
% 25.99/26.34 6 ==> 6
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.99/26.34 parent0: (41839) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.99/26.34 parent0: (41840) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 25.99/26.34 parent0: (41841) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (103) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm )
% 25.99/26.34 ) ==> sdtasdt0( xn, xn ) }.
% 25.99/26.34 parent0: (41860) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) )
% 25.99/26.34 = sdtasdt0( xn, xn ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (107) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 25.99/26.34 parent0: (41864) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (109) {G0,W4,D2,L2,V0,M2} I { alpha8, ! doDivides0( xp, xn )
% 25.99/26.34 }.
% 25.99/26.34 parent0: (41866) {G0,W4,D2,L2,V0,M2} { alpha8, ! doDivides0( xp, xn ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (110) {G0,W10,D3,L3,V1,M3} I { ! alpha8, ! aNaturalNumber0( X
% 25.99/26.34 ), ! sdtasdt0( xn, xn ) = sdtasdt0( xp, X ) }.
% 25.99/26.34 parent0: (41867) {G0,W10,D3,L3,V1,M3} { ! alpha8, ! aNaturalNumber0( X ),
% 25.99/26.34 ! sdtasdt0( xn, xn ) = sdtasdt0( xp, X ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 2 ==> 2
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (112) {G0,W8,D3,L3,V0,M3} I { aNaturalNumber0( skol7 ),
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 parent0: (41869) {G0,W8,D3,L3,V0,M3} { aNaturalNumber0( skol7 ),
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 2 ==> 2
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 eqswap: (48570) {G0,W13,D3,L3,V0,M3} { sdtasdt0( xp, skol7 ) = sdtasdt0(
% 25.99/26.34 xn, xn ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 parent0[0]: (41870) {G0,W13,D3,L3,V0,M3} { sdtasdt0( xn, xn ) = sdtasdt0(
% 25.99/26.34 xp, skol7 ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (113) {G0,W13,D3,L3,V0,M3} I { sdtasdt0( xp, skol7 ) ==>
% 25.99/26.34 sdtasdt0( xn, xn ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 parent0: (48570) {G0,W13,D3,L3,V0,M3} { sdtasdt0( xp, skol7 ) = sdtasdt0(
% 25.99/26.34 xn, xn ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 2 ==> 2
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 factor: (48571) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.99/26.34 aNaturalNumber0( sdtasdt0( X, X ) ) }.
% 25.99/26.34 parent0[0, 1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 Y := X
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (115) {G1,W6,D3,L2,V1,M2} F(5) { ! aNaturalNumber0( X ),
% 25.99/26.34 aNaturalNumber0( sdtasdt0( X, X ) ) }.
% 25.99/26.34 parent0: (48571) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.99/26.34 aNaturalNumber0( sdtasdt0( X, X ) ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 factor: (48575) {G0,W16,D3,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! isPrime0( Y ), !
% 25.99/26.34 doDivides0( Y, sdtasdt0( X, X ) ), doDivides0( Y, X ) }.
% 25.99/26.34 parent0[5, 6]: (81) {G0,W19,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), !
% 25.99/26.34 doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y )
% 25.99/26.34 }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 Y := X
% 25.99/26.34 Z := Y
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 factor: (48576) {G0,W14,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), ! isPrime0( Y ), ! doDivides0( Y, sdtasdt0( X, X )
% 25.99/26.34 ), doDivides0( Y, X ) }.
% 25.99/26.34 parent0[0, 1]: (48575) {G0,W16,D3,L6,V2,M6} { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! isPrime0( Y ), !
% 25.99/26.34 doDivides0( Y, sdtasdt0( X, X ) ), doDivides0( Y, X ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 Y := Y
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (249) {G1,W14,D3,L5,V2,M5} F(81);f { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), ! isPrime0( Y ), ! doDivides0( Y, sdtasdt0( X, X )
% 25.99/26.34 ), doDivides0( Y, X ) }.
% 25.99/26.34 parent0: (48576) {G0,W14,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), ! isPrime0( Y ), ! doDivides0( Y, sdtasdt0( X, X )
% 25.99/26.34 ), doDivides0( Y, X ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 Y := Y
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 2 ==> 2
% 25.99/26.34 3 ==> 3
% 25.99/26.34 4 ==> 4
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 resolution: (48578) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.99/26.34 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 25.99/26.34 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.99/26.34 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := xn
% 25.99/26.34 Y := X
% 25.99/26.34 end
% 25.99/26.34 substitution1:
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (275) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 25.99/26.34 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 25.99/26.34 parent0: (48578) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 25.99/26.34 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 resolution: (48580) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn,
% 25.99/26.34 xn ) ) }.
% 25.99/26.34 parent0[0]: (275) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 25.99/26.34 aNaturalNumber0( sdtasdt0( xn, X ) ) }.
% 25.99/26.34 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := xn
% 25.99/26.34 end
% 25.99/26.34 substitution1:
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (1561) {G2,W4,D3,L1,V0,M1} R(275,82) { aNaturalNumber0(
% 25.99/26.34 sdtasdt0( xn, xn ) ) }.
% 25.99/26.34 parent0: (48580) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xn, xn )
% 25.99/26.34 ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 eqswap: (48582) {G0,W14,D3,L5,V3,M5} { ! sdtasdt0( Y, Z ) = X, !
% 25.99/26.34 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ),
% 25.99/26.34 doDivides0( Y, X ) }.
% 25.99/26.34 parent0[3]: (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 25.99/26.34 doDivides0( X, Y ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := Y
% 25.99/26.34 Y := X
% 25.99/26.34 Z := Z
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 paramod: (48583) {G1,W20,D3,L7,V1,M7} { ! sdtasdt0( xn, xn ) = X,
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8, ! aNaturalNumber0( xp ), !
% 25.99/26.34 aNaturalNumber0( X ), ! aNaturalNumber0( skol7 ), doDivides0( xp, X ) }.
% 25.99/26.34 parent0[0]: (113) {G0,W13,D3,L3,V0,M3} I { sdtasdt0( xp, skol7 ) ==>
% 25.99/26.34 sdtasdt0( xn, xn ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 parent1[0; 2]: (48582) {G0,W14,D3,L5,V3,M5} { ! sdtasdt0( Y, Z ) = X, !
% 25.99/26.34 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ),
% 25.99/26.34 doDivides0( Y, X ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 substitution1:
% 25.99/26.34 X := X
% 25.99/26.34 Y := xp
% 25.99/26.34 Z := skol7
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 resolution: (48592) {G1,W18,D3,L6,V1,M6} { ! sdtasdt0( xn, xn ) = X,
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8, ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( skol7 ), doDivides0( xp, X ) }.
% 25.99/26.34 parent0[3]: (48583) {G1,W20,D3,L7,V1,M7} { ! sdtasdt0( xn, xn ) = X,
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8, ! aNaturalNumber0( xp ), !
% 25.99/26.34 aNaturalNumber0( X ), ! aNaturalNumber0( skol7 ), doDivides0( xp, X ) }.
% 25.99/26.34 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 end
% 25.99/26.34 substitution1:
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 eqswap: (48593) {G1,W18,D3,L6,V1,M6} { ! X = sdtasdt0( xn, xn ),
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8, ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( skol7 ), doDivides0( xp, X ) }.
% 25.99/26.34 parent0[0]: (48592) {G1,W18,D3,L6,V1,M6} { ! sdtasdt0( xn, xn ) = X,
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8, ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( skol7 ), doDivides0( xp, X ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (15790) {G1,W18,D3,L6,V1,M6} P(113,54);r(84) { !
% 25.99/26.34 aNaturalNumber0( X ), ! aNaturalNumber0( skol7 ), ! X = sdtasdt0( xn, xn
% 25.99/26.34 ), doDivides0( xp, X ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 parent0: (48593) {G1,W18,D3,L6,V1,M6} { ! X = sdtasdt0( xn, xn ),
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8, ! aNaturalNumber0( X ), !
% 25.99/26.34 aNaturalNumber0( skol7 ), doDivides0( xp, X ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 2
% 25.99/26.34 1 ==> 4
% 25.99/26.34 2 ==> 5
% 25.99/26.34 3 ==> 0
% 25.99/26.34 4 ==> 1
% 25.99/26.34 5 ==> 3
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 eqswap: (48597) {G1,W18,D3,L6,V1,M6} { ! sdtasdt0( xn, xn ) = X, !
% 25.99/26.34 aNaturalNumber0( X ), ! aNaturalNumber0( skol7 ), doDivides0( xp, X ),
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 parent0[2]: (15790) {G1,W18,D3,L6,V1,M6} P(113,54);r(84) { !
% 25.99/26.34 aNaturalNumber0( X ), ! aNaturalNumber0( skol7 ), ! X = sdtasdt0( xn, xn
% 25.99/26.34 ), doDivides0( xp, X ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := X
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 factor: (48599) {G1,W19,D3,L5,V0,M5} { ! sdtasdt0( xn, xn ) = sdtasdt0( xn
% 25.99/26.34 , xn ), ! aNaturalNumber0( sdtasdt0( xn, xn ) ), ! aNaturalNumber0( skol7
% 25.99/26.34 ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 parent0[3, 4]: (48597) {G1,W18,D3,L6,V1,M6} { ! sdtasdt0( xn, xn ) = X, !
% 25.99/26.34 aNaturalNumber0( X ), ! aNaturalNumber0( skol7 ), doDivides0( xp, X ),
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := sdtasdt0( xn, xn )
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 eqrefl: (48601) {G0,W12,D3,L4,V0,M4} { ! aNaturalNumber0( sdtasdt0( xn, xn
% 25.99/26.34 ) ), ! aNaturalNumber0( skol7 ), doDivides0( xp, sdtasdt0( xn, xn ) ),
% 25.99/26.34 alpha8 }.
% 25.99/26.34 parent0[0]: (48599) {G1,W19,D3,L5,V0,M5} { ! sdtasdt0( xn, xn ) = sdtasdt0
% 25.99/26.34 ( xn, xn ), ! aNaturalNumber0( sdtasdt0( xn, xn ) ), ! aNaturalNumber0(
% 25.99/26.34 skol7 ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 resolution: (48602) {G1,W8,D3,L3,V0,M3} { ! aNaturalNumber0( skol7 ),
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 parent0[0]: (48601) {G0,W12,D3,L4,V0,M4} { ! aNaturalNumber0( sdtasdt0( xn
% 25.99/26.34 , xn ) ), ! aNaturalNumber0( skol7 ), doDivides0( xp, sdtasdt0( xn, xn )
% 25.99/26.34 ), alpha8 }.
% 25.99/26.34 parent1[0]: (1561) {G2,W4,D3,L1,V0,M1} R(275,82) { aNaturalNumber0(
% 25.99/26.34 sdtasdt0( xn, xn ) ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 substitution1:
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (15867) {G3,W8,D3,L3,V0,M3} F(15790);q;r(1561) { !
% 25.99/26.34 aNaturalNumber0( skol7 ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8
% 25.99/26.34 }.
% 25.99/26.34 parent0: (48602) {G1,W8,D3,L3,V0,M3} { ! aNaturalNumber0( skol7 ),
% 25.99/26.34 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.34 1 ==> 1
% 25.99/26.34 2 ==> 2
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 resolution: (48603) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 25.99/26.34 xm ) ) }.
% 25.99/26.34 parent0[0]: (115) {G1,W6,D3,L2,V1,M2} F(5) { ! aNaturalNumber0( X ),
% 25.99/26.34 aNaturalNumber0( sdtasdt0( X, X ) ) }.
% 25.99/26.34 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 X := xm
% 25.99/26.34 end
% 25.99/26.34 substitution1:
% 25.99/26.34 end
% 25.99/26.34
% 25.99/26.34 subsumption: (16182) {G2,W4,D3,L1,V0,M1} R(115,83) { aNaturalNumber0(
% 25.99/26.34 sdtasdt0( xm, xm ) ) }.
% 25.99/26.34 parent0: (48603) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm, xm )
% 25.99/26.34 ) }.
% 25.99/26.34 substitution0:
% 25.99/26.34 end
% 25.99/26.34 permutation0:
% 25.99/26.34 0 ==> 0
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 eqswap: (48604) {G0,W10,D3,L3,V1,M3} { ! sdtasdt0( xp, X ) = sdtasdt0( xn
% 25.99/26.35 , xn ), ! alpha8, ! aNaturalNumber0( X ) }.
% 25.99/26.35 parent0[2]: (110) {G0,W10,D3,L3,V1,M3} I { ! alpha8, ! aNaturalNumber0( X )
% 25.99/26.35 , ! sdtasdt0( xn, xn ) = sdtasdt0( xp, X ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 X := X
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48606) {G1,W10,D4,L2,V0,M2} { ! sdtasdt0( xp, sdtasdt0( xm,
% 25.99/26.35 xm ) ) = sdtasdt0( xn, xn ), ! alpha8 }.
% 25.99/26.35 parent0[2]: (48604) {G0,W10,D3,L3,V1,M3} { ! sdtasdt0( xp, X ) = sdtasdt0
% 25.99/26.35 ( xn, xn ), ! alpha8, ! aNaturalNumber0( X ) }.
% 25.99/26.35 parent1[0]: (16182) {G2,W4,D3,L1,V0,M1} R(115,83) { aNaturalNumber0(
% 25.99/26.35 sdtasdt0( xm, xm ) ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 X := sdtasdt0( xm, xm )
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 paramod: (48607) {G1,W8,D3,L2,V0,M2} { ! sdtasdt0( xn, xn ) = sdtasdt0( xn
% 25.99/26.35 , xn ), ! alpha8 }.
% 25.99/26.35 parent0[0]: (103) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm )
% 25.99/26.35 ) ==> sdtasdt0( xn, xn ) }.
% 25.99/26.35 parent1[0; 2]: (48606) {G1,W10,D4,L2,V0,M2} { ! sdtasdt0( xp, sdtasdt0( xm
% 25.99/26.35 , xm ) ) = sdtasdt0( xn, xn ), ! alpha8 }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 eqrefl: (48608) {G0,W1,D1,L1,V0,M1} { ! alpha8 }.
% 25.99/26.35 parent0[0]: (48607) {G1,W8,D3,L2,V0,M2} { ! sdtasdt0( xn, xn ) = sdtasdt0
% 25.99/26.35 ( xn, xn ), ! alpha8 }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 subsumption: (16191) {G3,W1,D1,L1,V0,M1} R(16182,110);d(103);q { ! alpha8
% 25.99/26.35 }.
% 25.99/26.35 parent0: (48608) {G0,W1,D1,L1,V0,M1} { ! alpha8 }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 permutation0:
% 25.99/26.35 0 ==> 0
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48609) {G1,W7,D3,L2,V0,M2} { aNaturalNumber0( skol7 ),
% 25.99/26.35 doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 parent0[0]: (16191) {G3,W1,D1,L1,V0,M1} R(16182,110);d(103);q { ! alpha8
% 25.99/26.35 }.
% 25.99/26.35 parent1[2]: (112) {G0,W8,D3,L3,V0,M3} I { aNaturalNumber0( skol7 ),
% 25.99/26.35 doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8 }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 subsumption: (16244) {G4,W7,D3,L2,V0,M2} R(16191,112) { aNaturalNumber0(
% 25.99/26.35 skol7 ), doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 parent0: (48609) {G1,W7,D3,L2,V0,M2} { aNaturalNumber0( skol7 ),
% 25.99/26.35 doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 permutation0:
% 25.99/26.35 0 ==> 0
% 25.99/26.35 1 ==> 1
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48610) {G1,W3,D2,L1,V0,M1} { ! doDivides0( xp, xn ) }.
% 25.99/26.35 parent0[0]: (16191) {G3,W1,D1,L1,V0,M1} R(16182,110);d(103);q { ! alpha8
% 25.99/26.35 }.
% 25.99/26.35 parent1[0]: (109) {G0,W4,D2,L2,V0,M2} I { alpha8, ! doDivides0( xp, xn )
% 25.99/26.35 }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 subsumption: (16252) {G4,W3,D2,L1,V0,M1} R(16191,109) { ! doDivides0( xp,
% 25.99/26.35 xn ) }.
% 25.99/26.35 parent0: (48610) {G1,W3,D2,L1,V0,M1} { ! doDivides0( xp, xn ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 permutation0:
% 25.99/26.35 0 ==> 0
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48611) {G4,W11,D3,L3,V0,M3} { doDivides0( xp, sdtasdt0( xn,
% 25.99/26.35 xn ) ), alpha8, doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 parent0[0]: (15867) {G3,W8,D3,L3,V0,M3} F(15790);q;r(1561) { !
% 25.99/26.35 aNaturalNumber0( skol7 ), doDivides0( xp, sdtasdt0( xn, xn ) ), alpha8
% 25.99/26.35 }.
% 25.99/26.35 parent1[0]: (16244) {G4,W7,D3,L2,V0,M2} R(16191,112) { aNaturalNumber0(
% 25.99/26.35 skol7 ), doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 factor: (48612) {G4,W6,D3,L2,V0,M2} { doDivides0( xp, sdtasdt0( xn, xn ) )
% 25.99/26.35 , alpha8 }.
% 25.99/26.35 parent0[0, 2]: (48611) {G4,W11,D3,L3,V0,M3} { doDivides0( xp, sdtasdt0( xn
% 25.99/26.35 , xn ) ), alpha8, doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48613) {G4,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xn
% 25.99/26.35 ) ) }.
% 25.99/26.35 parent0[0]: (16191) {G3,W1,D1,L1,V0,M1} R(16182,110);d(103);q { ! alpha8
% 25.99/26.35 }.
% 25.99/26.35 parent1[1]: (48612) {G4,W6,D3,L2,V0,M2} { doDivides0( xp, sdtasdt0( xn, xn
% 25.99/26.35 ) ), alpha8 }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 subsumption: (20558) {G5,W5,D3,L1,V0,M1} S(15867);r(16244);r(16191) {
% 25.99/26.35 doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 parent0: (48613) {G4,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xn )
% 25.99/26.35 ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 permutation0:
% 25.99/26.35 0 ==> 0
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48614) {G2,W11,D3,L4,V0,M4} { ! aNaturalNumber0( xn ), !
% 25.99/26.35 aNaturalNumber0( xp ), ! isPrime0( xp ), ! doDivides0( xp, sdtasdt0( xn,
% 25.99/26.35 xn ) ) }.
% 25.99/26.35 parent0[0]: (16252) {G4,W3,D2,L1,V0,M1} R(16191,109) { ! doDivides0( xp, xn
% 25.99/26.35 ) }.
% 25.99/26.35 parent1[4]: (249) {G1,W14,D3,L5,V2,M5} F(81);f { ! aNaturalNumber0( X ), !
% 25.99/26.35 aNaturalNumber0( Y ), ! isPrime0( Y ), ! doDivides0( Y, sdtasdt0( X, X )
% 25.99/26.35 ), doDivides0( Y, X ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 X := xn
% 25.99/26.35 Y := xp
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48615) {G1,W9,D3,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 25.99/26.35 isPrime0( xp ), ! doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 parent0[0]: (48614) {G2,W11,D3,L4,V0,M4} { ! aNaturalNumber0( xn ), !
% 25.99/26.35 aNaturalNumber0( xp ), ! isPrime0( xp ), ! doDivides0( xp, sdtasdt0( xn,
% 25.99/26.35 xn ) ) }.
% 25.99/26.35 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 subsumption: (26362) {G5,W9,D3,L3,V0,M3} R(249,16252);r(82) { !
% 25.99/26.35 aNaturalNumber0( xp ), ! isPrime0( xp ), ! doDivides0( xp, sdtasdt0( xn,
% 25.99/26.35 xn ) ) }.
% 25.99/26.35 parent0: (48615) {G1,W9,D3,L3,V0,M3} { ! aNaturalNumber0( xp ), ! isPrime0
% 25.99/26.35 ( xp ), ! doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 permutation0:
% 25.99/26.35 0 ==> 0
% 25.99/26.35 1 ==> 1
% 25.99/26.35 2 ==> 2
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48616) {G1,W7,D3,L2,V0,M2} { ! isPrime0( xp ), ! doDivides0(
% 25.99/26.35 xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 parent0[0]: (26362) {G5,W9,D3,L3,V0,M3} R(249,16252);r(82) { !
% 25.99/26.35 aNaturalNumber0( xp ), ! isPrime0( xp ), ! doDivides0( xp, sdtasdt0( xn,
% 25.99/26.35 xn ) ) }.
% 25.99/26.35 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48617) {G1,W5,D3,L1,V0,M1} { ! doDivides0( xp, sdtasdt0( xn,
% 25.99/26.35 xn ) ) }.
% 25.99/26.35 parent0[0]: (48616) {G1,W7,D3,L2,V0,M2} { ! isPrime0( xp ), ! doDivides0(
% 25.99/26.35 xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 parent1[0]: (107) {G0,W2,D2,L1,V0,M1} I { isPrime0( xp ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 resolution: (48618) {G2,W0,D0,L0,V0,M0} { }.
% 25.99/26.35 parent0[0]: (48617) {G1,W5,D3,L1,V0,M1} { ! doDivides0( xp, sdtasdt0( xn,
% 25.99/26.35 xn ) ) }.
% 25.99/26.35 parent1[0]: (20558) {G5,W5,D3,L1,V0,M1} S(15867);r(16244);r(16191) {
% 25.99/26.35 doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 substitution1:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 subsumption: (41754) {G6,W0,D0,L0,V0,M0} S(26362);r(84);r(107);r(20558) {
% 25.99/26.35 }.
% 25.99/26.35 parent0: (48618) {G2,W0,D0,L0,V0,M0} { }.
% 25.99/26.35 substitution0:
% 25.99/26.35 end
% 25.99/26.35 permutation0:
% 25.99/26.35 end
% 25.99/26.35
% 25.99/26.35 Proof check complete!
% 25.99/26.35
% 25.99/26.35 Memory use:
% 25.99/26.35
% 25.99/26.35 space for terms: 655645
% 25.99/26.35 space for clauses: 1964817
% 25.99/26.35
% 25.99/26.35
% 25.99/26.35 clauses generated: 299076
% 25.99/26.35 clauses kept: 41755
% 25.99/26.35 clauses selected: 1023
% 25.99/26.35 clauses deleted: 7452
% 25.99/26.35 clauses inuse deleted: 48
% 25.99/26.35
% 25.99/26.35 subsentry: 1167418
% 25.99/26.35 literals s-matched: 571663
% 25.99/26.35 literals matched: 467653
% 25.99/26.35 full subsumption: 306814
% 25.99/26.35
% 25.99/26.35 checksum: -570175788
% 25.99/26.35
% 25.99/26.35
% 25.99/26.35 Bliksem ended
%------------------------------------------------------------------------------