%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM525+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 06:23:15 EDT 2022
% Result : Theorem 25.79s 26.24s
% Output : Refutation 25.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM525+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jul 5 15:42:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09
% 0.70/1.09 { && }.
% 0.70/1.09 { aNaturalNumber0( sz00 ) }.
% 0.70/1.09 { aNaturalNumber0( sz10 ) }.
% 0.70/1.09 { ! sz10 = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.70/1.09 ( X, Y ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.70/1.09 ( X, Y ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.70/1.09 sdtpldt0( Y, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.09 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.70/1.09 sdtasdt0( Y, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.09 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.09 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.70/1.09 , Z ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.09 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.70/1.09 , X ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.70/1.09 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.70/1.09 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.70/1.09 , X = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.70/1.09 , Y = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.70/1.09 , X = sz00, Y = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.70/1.09 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.70/1.09 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.70/1.09 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.70/1.09 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.70/1.09 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.70/1.09 sdtlseqdt0( Y, X ), X = Y }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.70/1.09 X }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.70/1.09 sdtlseqdt0( Y, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.09 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.09 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.70/1.09 ) ) }.
% 0.70/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.70/1.09 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.70/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.70/1.09 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.70/1.09 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.70/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.70/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.70/1.09 sdtasdt0( Z, X ) ) }.
% 0.70/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.70/1.09 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.70/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.70/1.09 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.70/1.09 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.70/1.09 sdtasdt0( Y, X ) ) }.
% 0.70/1.09 { && }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.09 ), iLess0( X, Y ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.70/1.09 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.70/1.09 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.70/1.09 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.70/1.09 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.70/1.09 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.70/1.09 ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.70/1.09 ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.70/1.09 Z ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.70/1.09 sz00, sdtlseqdt0( X, Y ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.70/1.09 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.70/1.09 ( sdtasdt0( Z, Y ), X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.70/1.09 { ! alpha1( X ), ! X = sz10 }.
% 0.70/1.09 { ! alpha1( X ), alpha2( X ) }.
% 0.70/1.09 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.70/1.09 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.70/1.09 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.70/1.09 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.70/1.09 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.70/1.09 { ! Y = sz10, alpha4( X, Y ) }.
% 0.70/1.09 { ! Y = X, alpha4( X, Y ) }.
% 0.70/1.09 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.70/1.09 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.70/1.09 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.70/1.09 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.70/1.09 .
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.09 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), doDivides0( Z, X ),
% 0.70/1.09 doDivides0( Z, Y ) }.
% 0.70/1.09 { aNaturalNumber0( xn ) }.
% 0.70/1.09 { aNaturalNumber0( xm ) }.
% 0.70/1.09 { aNaturalNumber0( xp ) }.
% 0.70/1.09 { ! xn = sz00 }.
% 0.70/1.09 { ! xm = sz00 }.
% 0.70/1.09 { ! xp = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.70/1.09 = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z, sdtasdt0( Y, Y ) ) = sdtasdt0
% 0.70/1.09 ( X, X ), ! iLess0( X, xn ), Z = sz10, alpha7( Z ) }.
% 16.86/17.23 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 16.86/17.23 = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z, sdtasdt0( Y, Y ) ) = sdtasdt0
% 16.86/17.23 ( X, X ), ! iLess0( X, xn ), ! isPrime0( Z ) }.
% 16.86/17.23 { ! alpha7( X ), alpha8( X, skol5( X ) ) }.
% 16.86/17.23 { ! alpha7( X ), ! skol5( X ) = X }.
% 16.86/17.23 { ! alpha8( X, Y ), Y = X, alpha7( X ) }.
% 16.86/17.23 { ! alpha8( X, Y ), alpha9( X, Y ) }.
% 16.86/17.23 { ! alpha8( X, Y ), ! Y = sz10 }.
% 16.86/17.23 { ! alpha9( X, Y ), Y = sz10, alpha8( X, Y ) }.
% 16.86/17.23 { ! alpha9( X, Y ), alpha10( X, Y ) }.
% 16.86/17.23 { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 16.86/17.23 { ! alpha10( X, Y ), ! doDivides0( Y, X ), alpha9( X, Y ) }.
% 16.86/17.23 { ! alpha10( X, Y ), aNaturalNumber0( Y ) }.
% 16.86/17.23 { ! alpha10( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 16.86/17.23 { ! alpha10( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 16.86/17.23 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 16.86/17.23 alpha10( X, Y ) }.
% 16.86/17.23 { sdtasdt0( xp, sdtasdt0( xm, xm ) ) = sdtasdt0( xn, xn ) }.
% 16.86/17.23 { ! xp = sz10 }.
% 16.86/17.23 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 16.86/17.23 X = sz10, X = xp }.
% 16.86/17.23 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 16.86/17.23 { isPrime0( xp ) }.
% 16.86/17.23 { aNaturalNumber0( skol7 ) }.
% 16.86/17.23 { sdtasdt0( xn, xn ) = sdtasdt0( xp, skol7 ) }.
% 16.86/17.23 { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 16.86/17.23 { aNaturalNumber0( skol8 ) }.
% 16.86/17.23 { xn = sdtasdt0( xp, skol8 ) }.
% 16.86/17.23 { doDivides0( xp, xn ) }.
% 16.86/17.23 { aNaturalNumber0( xq ) }.
% 16.86/17.23 { xn = sdtasdt0( xp, xq ) }.
% 16.86/17.23 { xq = sdtsldt0( xn, xp ) }.
% 16.86/17.23 { ! sdtasdt0( xp, sdtasdt0( xm, xm ) ) = sdtasdt0( xp, sdtasdt0( xp,
% 16.86/17.23 sdtasdt0( xq, xq ) ) ) }.
% 16.86/17.23
% 16.86/17.23 percentage equality = 0.301546, percentage horn = 0.720339
% 16.86/17.23 This is a problem with some equality
% 16.86/17.23
% 16.86/17.23
% 16.86/17.23
% 16.86/17.23 Options Used:
% 16.86/17.23
% 16.86/17.23 useres = 1
% 16.86/17.23 useparamod = 1
% 16.86/17.23 useeqrefl = 1
% 16.86/17.23 useeqfact = 1
% 16.86/17.23 usefactor = 1
% 16.86/17.23 usesimpsplitting = 0
% 16.86/17.23 usesimpdemod = 5
% 16.86/17.23 usesimpres = 3
% 16.86/17.23
% 16.86/17.23 resimpinuse = 1000
% 16.86/17.23 resimpclauses = 20000
% 16.86/17.23 substype = eqrewr
% 16.86/17.23 backwardsubs = 1
% 16.86/17.23 selectoldest = 5
% 16.86/17.23
% 16.86/17.23 litorderings [0] = split
% 16.86/17.23 litorderings [1] = extend the termordering, first sorting on arguments
% 16.86/17.23
% 16.86/17.23 termordering = kbo
% 16.86/17.23
% 16.86/17.23 litapriori = 0
% 16.86/17.23 termapriori = 1
% 16.86/17.23 litaposteriori = 0
% 16.86/17.23 termaposteriori = 0
% 16.86/17.23 demodaposteriori = 0
% 16.86/17.23 ordereqreflfact = 0
% 16.86/17.23
% 16.86/17.23 litselect = negord
% 16.86/17.23
% 16.86/17.23 maxweight = 15
% 16.86/17.23 maxdepth = 30000
% 16.86/17.23 maxlength = 115
% 16.86/17.23 maxnrvars = 195
% 16.86/17.23 excuselevel = 1
% 16.86/17.23 increasemaxweight = 1
% 16.86/17.23
% 16.86/17.23 maxselected = 10000000
% 16.86/17.23 maxnrclauses = 10000000
% 16.86/17.23
% 16.86/17.23 showgenerated = 0
% 16.86/17.23 showkept = 0
% 16.86/17.23 showselected = 0
% 16.86/17.23 showdeleted = 0
% 16.86/17.23 showresimp = 1
% 16.86/17.23 showstatus = 2000
% 16.86/17.23
% 16.86/17.23 prologoutput = 0
% 16.86/17.23 nrgoals = 5000000
% 16.86/17.23 totalproof = 1
% 16.86/17.23
% 16.86/17.23 Symbols occurring in the translation:
% 16.86/17.23
% 16.86/17.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 16.86/17.23 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 16.86/17.23 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 16.86/17.23 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 16.86/17.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 16.86/17.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 16.86/17.23 aNaturalNumber0 [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 16.86/17.23 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 16.86/17.23 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 16.86/17.24 sdtpldt0 [40, 2] (w:1, o:56, a:1, s:1, b:0),
% 16.86/17.24 sdtasdt0 [41, 2] (w:1, o:57, a:1, s:1, b:0),
% 16.86/17.24 sdtlseqdt0 [43, 2] (w:1, o:58, a:1, s:1, b:0),
% 16.86/17.24 sdtmndt0 [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 16.86/17.24 iLess0 [45, 2] (w:1, o:60, a:1, s:1, b:0),
% 16.86/17.24 doDivides0 [46, 2] (w:1, o:61, a:1, s:1, b:0),
% 16.86/17.24 sdtsldt0 [47, 2] (w:1, o:62, a:1, s:1, b:0),
% 16.86/17.24 isPrime0 [48, 1] (w:1, o:25, a:1, s:1, b:0),
% 16.86/17.24 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 16.86/17.24 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 16.86/17.24 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 16.86/17.24 xq [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 16.86/17.24 alpha1 [55, 1] (w:1, o:26, a:1, s:1, b:1),
% 16.86/17.24 alpha2 [56, 1] (w:1, o:27, a:1, s:1, b:1),
% 16.86/17.24 alpha3 [57, 2] (w:1, o:63, a:1, s:1, b:1),
% 16.86/17.24 alpha4 [58, 2] (w:1, o:64, a:1, s:1, b:1),
% 16.86/17.24 alpha5 [59, 3] (w:1, o:71, a:1, s:1, b:1),
% 16.86/17.24 alpha6 [60, 3] (w:1, o:72, a:1, s:1, b:1),
% 16.86/17.24 alpha7 [61, 1] (w:1, o:28, a:1, s:1, b:1),
% 16.86/17.24 alpha8 [62, 2] (w:1, o:65, a:1, s:1, b:1),
% 16.86/17.24 alpha9 [63, 2] (w:1, o:66, a:1, s:1, b:1),
% 25.79/26.24 alpha10 [64, 2] (w:1, o:67, a:1, s:1, b:1),
% 25.79/26.24 skol1 [65, 2] (w:1, o:68, a:1, s:1, b:1),
% 25.79/26.24 skol2 [66, 2] (w:1, o:69, a:1, s:1, b:1),
% 25.79/26.24 skol3 [67, 1] (w:1, o:29, a:1, s:1, b:1),
% 25.79/26.24 skol4 [68, 1] (w:1, o:30, a:1, s:1, b:1),
% 25.79/26.24 skol5 [69, 1] (w:1, o:31, a:1, s:1, b:1),
% 25.79/26.24 skol6 [70, 2] (w:1, o:70, a:1, s:1, b:1),
% 25.79/26.24 skol7 [71, 0] (w:1, o:17, a:1, s:1, b:1),
% 25.79/26.24 skol8 [72, 0] (w:1, o:18, a:1, s:1, b:1).
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Starting Search:
% 25.79/26.24
% 25.79/26.24 *** allocated 15000 integers for clauses
% 25.79/26.24 *** allocated 22500 integers for clauses
% 25.79/26.24 *** allocated 33750 integers for clauses
% 25.79/26.24 *** allocated 15000 integers for termspace/termends
% 25.79/26.24 *** allocated 50625 integers for clauses
% 25.79/26.24 *** allocated 75937 integers for clauses
% 25.79/26.24 *** allocated 22500 integers for termspace/termends
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 *** allocated 33750 integers for termspace/termends
% 25.79/26.24 *** allocated 113905 integers for clauses
% 25.79/26.24 *** allocated 50625 integers for termspace/termends
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 12373
% 25.79/26.24 Kept: 2020
% 25.79/26.24 Inuse: 135
% 25.79/26.24 Deleted: 1
% 25.79/26.24 Deletedinuse: 0
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 *** allocated 170857 integers for clauses
% 25.79/26.24 *** allocated 75937 integers for termspace/termends
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 *** allocated 256285 integers for clauses
% 25.79/26.24 *** allocated 113905 integers for termspace/termends
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 25011
% 25.79/26.24 Kept: 4024
% 25.79/26.24 Inuse: 183
% 25.79/26.24 Deleted: 2
% 25.79/26.24 Deletedinuse: 0
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 *** allocated 384427 integers for clauses
% 25.79/26.24 *** allocated 170857 integers for termspace/termends
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 43645
% 25.79/26.24 Kept: 6037
% 25.79/26.24 Inuse: 222
% 25.79/26.24 Deleted: 4
% 25.79/26.24 Deletedinuse: 0
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 57653
% 25.79/26.24 Kept: 8162
% 25.79/26.24 Inuse: 259
% 25.79/26.24 Deleted: 7
% 25.79/26.24 Deletedinuse: 0
% 25.79/26.24
% 25.79/26.24 *** allocated 256285 integers for termspace/termends
% 25.79/26.24 *** allocated 576640 integers for clauses
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 80590
% 25.79/26.24 Kept: 10322
% 25.79/26.24 Inuse: 294
% 25.79/26.24 Deleted: 14
% 25.79/26.24 Deletedinuse: 2
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 *** allocated 384427 integers for termspace/termends
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 95404
% 25.79/26.24 Kept: 12815
% 25.79/26.24 Inuse: 341
% 25.79/26.24 Deleted: 22
% 25.79/26.24 Deletedinuse: 7
% 25.79/26.24
% 25.79/26.24 *** allocated 864960 integers for clauses
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 113724
% 25.79/26.24 Kept: 14960
% 25.79/26.24 Inuse: 386
% 25.79/26.24 Deleted: 23
% 25.79/26.24 Deletedinuse: 8
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 126101
% 25.79/26.24 Kept: 16966
% 25.79/26.24 Inuse: 431
% 25.79/26.24 Deleted: 24
% 25.79/26.24 Deletedinuse: 9
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 141565
% 25.79/26.24 Kept: 19149
% 25.79/26.24 Inuse: 523
% 25.79/26.24 Deleted: 29
% 25.79/26.24 Deletedinuse: 11
% 25.79/26.24
% 25.79/26.24 *** allocated 1297440 integers for clauses
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying clauses:
% 25.79/26.24 *** allocated 576640 integers for termspace/termends
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 154137
% 25.79/26.24 Kept: 21225
% 25.79/26.24 Inuse: 546
% 25.79/26.24 Deleted: 5735
% 25.79/26.24 Deletedinuse: 27
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 169782
% 25.79/26.24 Kept: 23477
% 25.79/26.24 Inuse: 621
% 25.79/26.24 Deleted: 5794
% 25.79/26.24 Deletedinuse: 86
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 189013
% 25.79/26.24 Kept: 25517
% 25.79/26.24 Inuse: 662
% 25.79/26.24 Deleted: 5796
% 25.79/26.24 Deletedinuse: 88
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 220968
% 25.79/26.24 Kept: 27535
% 25.79/26.24 Inuse: 737
% 25.79/26.24 Deleted: 5818
% 25.79/26.24 Deletedinuse: 92
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 *** allocated 1946160 integers for clauses
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 237727
% 25.79/26.24 Kept: 29619
% 25.79/26.24 Inuse: 791
% 25.79/26.24 Deleted: 5820
% 25.79/26.24 Deletedinuse: 92
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 249616
% 25.79/26.24 Kept: 31637
% 25.79/26.24 Inuse: 811
% 25.79/26.24 Deleted: 5820
% 25.79/26.24 Deletedinuse: 92
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 260506
% 25.79/26.24 Kept: 33707
% 25.79/26.24 Inuse: 834
% 25.79/26.24 Deleted: 5822
% 25.79/26.24 Deletedinuse: 92
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 269301
% 25.79/26.24 Kept: 35828
% 25.79/26.24 Inuse: 869
% 25.79/26.24 Deleted: 5822
% 25.79/26.24 Deletedinuse: 92
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 *** allocated 864960 integers for termspace/termends
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 275555
% 25.79/26.24 Kept: 38417
% 25.79/26.24 Inuse: 884
% 25.79/26.24 Deleted: 5822
% 25.79/26.24 Deletedinuse: 92
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Intermediate Status:
% 25.79/26.24 Generated: 282455
% 25.79/26.24 Kept: 40429
% 25.79/26.24 Inuse: 899
% 25.79/26.24 Deleted: 5822
% 25.79/26.24 Deletedinuse: 92
% 25.79/26.24
% 25.79/26.24 Resimplifying inuse:
% 25.79/26.24 Done
% 25.79/26.24
% 25.79/26.24 *** allocated 2919240 integers for clauses
% 25.79/26.24 Resimplifying clauses:
% 25.79/26.24
% 25.79/26.24 Bliksems!, er is een bewijs:
% 25.79/26.24 % SZS status Theorem
% 25.79/26.24 % SZS output start Refutation
% 25.79/26.24
% 25.79/26.24 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 25.79/26.24 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.79/26.24 (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.79/26.24 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 25.79/26.24 (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.79/26.24 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) ==> sdtasdt0
% 25.79/26.24 ( sdtasdt0( X, Y ), Z ) }.
% 25.79/26.24 (57) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.79/26.24 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 25.79/26.24 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 25.79/26.24 (62) {G0,W23,D4,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.79/26.24 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtsldt0(
% 25.79/26.24 sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) ) }.
% 25.79/26.24 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.79/26.24 (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 25.79/26.24 (87) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 25.79/26.24 (103) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm ) ) ==>
% 25.79/26.24 sdtasdt0( xn, xn ) }.
% 25.79/26.24 (108) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol7 ) }.
% 25.79/26.24 (109) {G0,W7,D3,L1,V0,M1} I { sdtasdt0( xp, skol7 ) ==> sdtasdt0( xn, xn )
% 25.79/26.24 }.
% 25.79/26.24 (110) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.79/26.24 (113) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 25.79/26.24 (114) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xq ) }.
% 25.79/26.24 (115) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xp, xq ) ==> xn }.
% 25.79/26.24 (116) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 25.79/26.24 (117) {G1,W11,D5,L1,V0,M1} I;d(103) { ! sdtasdt0( xp, sdtasdt0( xp,
% 25.79/26.24 sdtasdt0( xq, xq ) ) ) ==> sdtasdt0( xn, xn ) }.
% 25.79/26.24 (472) {G1,W15,D4,L3,V2,M3} R(11,84) { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), sdtasdt0( xp, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 25.79/26.24 sdtasdt0( xp, X ), Y ) }.
% 25.79/26.24 (500) {G2,W13,D4,L2,V1,M2} F(472) { ! aNaturalNumber0( X ), sdtasdt0( xp,
% 25.79/26.24 sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 25.79/26.24 (983) {G1,W13,D4,L3,V1,M3} P(115,11);r(84) { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( xq ), sdtasdt0( sdtasdt0( X, xp ), xq ) ==> sdtasdt0( X
% 25.79/26.24 , xn ) }.
% 25.79/26.24 (984) {G1,W7,D3,L2,V0,M2} P(115,10);r(84) { ! aNaturalNumber0( xq ),
% 25.79/26.24 sdtasdt0( xq, xp ) ==> xn }.
% 25.79/26.24 (985) {G2,W7,D3,L1,V0,M1} F(983);d(984);r(114) { sdtasdt0( xn, xq ) ==>
% 25.79/26.24 sdtasdt0( xq, xn ) }.
% 25.79/26.24 (10129) {G1,W16,D4,L4,V1,M4} R(62,113);d(116);r(84) { ! aNaturalNumber0( xn
% 25.79/26.24 ), xp ==> sz00, ! aNaturalNumber0( X ), sdtsldt0( sdtasdt0( X, xn ), xp
% 25.79/26.24 ) ==> sdtasdt0( X, xq ) }.
% 25.79/26.24 (10321) {G3,W12,D4,L2,V0,M2} F(10129);d(985);r(82) { xp ==> sz00, sdtsldt0
% 25.79/26.24 ( sdtasdt0( xn, xn ), xp ) ==> sdtasdt0( xq, xn ) }.
% 25.79/26.24 (16878) {G1,W20,D3,L6,V1,M6} P(109,57);r(84) { ! aNaturalNumber0( X ), xp
% 25.79/26.24 ==> sz00, ! doDivides0( xp, X ), ! aNaturalNumber0( skol7 ), ! X =
% 25.79/26.24 sdtasdt0( xn, xn ), sdtsldt0( X, xp ) ==> skol7 }.
% 25.79/26.24 (16935) {G1,W6,D3,L2,V0,M2} P(109,5);r(84) { ! aNaturalNumber0( skol7 ),
% 25.79/26.24 aNaturalNumber0( sdtasdt0( xn, xn ) ) }.
% 25.79/26.24 (16939) {G4,W15,D3,L4,V0,M4} Q(16878);d(10321);r(16935) { xp ==> sz00, !
% 25.79/26.24 doDivides0( xp, sdtasdt0( xn, xn ) ), ! aNaturalNumber0( skol7 ),
% 25.79/26.24 sdtasdt0( xq, xn ) ==> skol7 }.
% 25.79/26.24 (16965) {G3,W9,D4,L1,V0,M1} P(10,117);f;d(500);d(115);d(985);r(114) { !
% 25.79/26.24 sdtasdt0( xp, sdtasdt0( xq, xn ) ) ==> sdtasdt0( xn, xn ) }.
% 25.79/26.24 (20285) {G5,W5,D3,L1,V0,M1} S(16939);r(87);r(110);r(108) { sdtasdt0( xq, xn
% 25.79/26.24 ) ==> skol7 }.
% 25.79/26.24 (42383) {G6,W0,D0,L0,V0,M0} S(16965);d(20285);d(109);q { }.
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 % SZS output end Refutation
% 25.79/26.24 found a proof!
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Unprocessed initial clauses:
% 25.79/26.24
% 25.79/26.24 (42385) {G0,W1,D1,L1,V0,M1} { && }.
% 25.79/26.24 (42386) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 25.79/26.24 (42387) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 25.79/26.24 (42388) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 25.79/26.24 (42389) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.79/26.24 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.79/26.24 (42390) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.79/26.24 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.79/26.24 (42391) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.79/26.24 (42392) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 25.79/26.24 X, sdtpldt0( Y, Z ) ) }.
% 25.79/26.24 (42393) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 25.79/26.24 = X }.
% 25.79/26.24 (42394) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 25.79/26.24 X ) }.
% 25.79/26.24 (42395) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 25.79/26.24 (42396) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 25.79/26.24 X, sdtasdt0( Y, Z ) ) }.
% 25.79/26.24 (42397) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 25.79/26.24 = X }.
% 25.79/26.24 (42398) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 25.79/26.24 X ) }.
% 25.79/26.24 (42399) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 25.79/26.24 = sz00 }.
% 25.79/26.24 (42400) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 25.79/26.24 sz00, X ) }.
% 25.79/26.24 (42401) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 25.79/26.24 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 25.79/26.24 (42402) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 25.79/26.24 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 25.79/26.24 (42403) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 25.79/26.24 }.
% 25.79/26.24 (42404) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 25.79/26.24 }.
% 25.79/26.24 (42405) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 25.79/26.24 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.79/26.24 sdtasdt0( X, Z ), Y = Z }.
% 25.79/26.24 (42406) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 25.79/26.24 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 25.79/26.24 sdtasdt0( Z, X ), Y = Z }.
% 25.79/26.24 (42407) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 25.79/26.24 (42408) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 25.79/26.24 (42409) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 25.79/26.24 (42410) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 25.79/26.24 (42411) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 25.79/26.24 (42412) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 25.79/26.24 }.
% 25.79/26.24 (42413) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 25.79/26.24 }.
% 25.79/26.24 (42414) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 25.79/26.24 }.
% 25.79/26.24 (42415) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 25.79/26.24 , Z = sdtmndt0( Y, X ) }.
% 25.79/26.24 (42416) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 25.79/26.24 }.
% 25.79/26.24 (42417) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 25.79/26.24 (42418) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 25.79/26.24 sdtlseqdt0( X, Z ) }.
% 25.79/26.24 (42419) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 25.79/26.24 (42420) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 25.79/26.24 (42421) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 25.79/26.24 ) }.
% 25.79/26.24 (42422) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 25.79/26.24 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 25.79/26.24 (42423) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 25.79/26.24 sdtpldt0( Z, Y ) }.
% 25.79/26.24 (42424) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 25.79/26.24 Z, X ), sdtpldt0( Z, Y ) ) }.
% 25.79/26.24 (42425) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 25.79/26.24 sdtpldt0( Y, Z ) }.
% 25.79/26.24 (42426) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 25.79/26.24 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 25.79/26.24 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 25.79/26.24 (42427) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 25.79/26.24 alpha6( X, Y, Z ) }.
% 25.79/26.24 (42428) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 25.79/26.24 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 25.79/26.24 (42429) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 25.79/26.24 sdtasdt0( X, Z ) }.
% 25.79/26.24 (42430) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 25.79/26.24 X, Y ), sdtasdt0( X, Z ) ) }.
% 25.79/26.24 (42431) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 25.79/26.24 sdtasdt0( Z, X ) }.
% 25.79/26.24 (42432) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 25.79/26.24 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 25.79/26.24 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 25.79/26.24 (42433) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.79/26.24 , ! sz10 = X }.
% 25.79/26.24 (42434) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.79/26.24 , sdtlseqdt0( sz10, X ) }.
% 25.79/26.24 (42435) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 25.79/26.24 (42436) {G0,W1,D1,L1,V0,M1} { && }.
% 25.79/26.24 (42437) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 25.79/26.24 (42438) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 25.79/26.24 (42439) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 25.79/26.24 (42440) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 25.79/26.24 }.
% 25.79/26.24 (42441) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 25.79/26.24 aNaturalNumber0( Z ) }.
% 25.79/26.24 (42442) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 25.79/26.24 ( X, Z ) }.
% 25.79/26.24 (42443) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 25.79/26.24 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 25.79/26.24 (42444) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 25.79/26.24 doDivides0( X, Z ) }.
% 25.79/26.24 (42445) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 25.79/26.24 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 25.79/26.24 (42446) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 25.79/26.24 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 25.79/26.24 (42447) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 25.79/26.24 (42448) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 25.79/26.24 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 25.79/26.24 (42449) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 25.79/26.24 = sz00 }.
% 25.79/26.24 (42450) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 25.79/26.24 alpha1( X ) }.
% 25.79/26.24 (42451) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 25.79/26.24 X ), isPrime0( X ) }.
% 25.79/26.24 (42452) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 25.79/26.24 (42453) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 25.79/26.24 (42454) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 25.79/26.24 (42455) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 25.79/26.24 Y ) }.
% 25.79/26.24 (42456) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 25.79/26.24 (42457) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 25.79/26.24 (42458) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 25.79/26.24 (42459) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 25.79/26.24 (42460) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 25.79/26.24 (42461) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 25.79/26.24 (42462) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 25.79/26.24 (42463) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 25.79/26.24 , alpha3( X, Y ) }.
% 25.79/26.24 (42464) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.79/26.24 , aNaturalNumber0( skol4( Y ) ) }.
% 25.79/26.24 (42465) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.79/26.24 , isPrime0( skol4( Y ) ) }.
% 25.79/26.24 (42466) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.79/26.24 , doDivides0( skol4( X ), X ) }.
% 25.79/26.24 (42467) {G0,W19,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 25.79/26.24 X, Y ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 25.79/26.24 (42468) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 25.79/26.24 (42469) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 25.79/26.24 (42470) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 25.79/26.24 (42471) {G0,W3,D2,L1,V0,M1} { ! xn = sz00 }.
% 25.79/26.24 (42472) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 25.79/26.24 (42473) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 25.79/26.24 (42474) {G0,W32,D4,L10,V3,M10} { ! aNaturalNumber0( X ), ! aNaturalNumber0
% 25.79/26.24 ( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = sz00, Z = sz00, ! sdtasdt0(
% 25.79/26.24 Z, sdtasdt0( Y, Y ) ) = sdtasdt0( X, X ), ! iLess0( X, xn ), Z = sz10,
% 25.79/26.24 alpha7( Z ) }.
% 25.79/26.24 (42475) {G0,W29,D4,L9,V3,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = sz00, Z = sz00, ! sdtasdt0( Z
% 25.79/26.24 , sdtasdt0( Y, Y ) ) = sdtasdt0( X, X ), ! iLess0( X, xn ), ! isPrime0( Z
% 25.79/26.24 ) }.
% 25.79/26.24 (42476) {G0,W6,D3,L2,V1,M2} { ! alpha7( X ), alpha8( X, skol5( X ) ) }.
% 25.79/26.24 (42477) {G0,W6,D3,L2,V1,M2} { ! alpha7( X ), ! skol5( X ) = X }.
% 25.79/26.24 (42478) {G0,W8,D2,L3,V2,M3} { ! alpha8( X, Y ), Y = X, alpha7( X ) }.
% 25.79/26.24 (42479) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha9( X, Y ) }.
% 25.79/26.24 (42480) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), ! Y = sz10 }.
% 25.79/26.24 (42481) {G0,W9,D2,L3,V2,M3} { ! alpha9( X, Y ), Y = sz10, alpha8( X, Y )
% 25.79/26.24 }.
% 25.79/26.24 (42482) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha10( X, Y ) }.
% 25.79/26.24 (42483) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 25.79/26.24 (42484) {G0,W9,D2,L3,V2,M3} { ! alpha10( X, Y ), ! doDivides0( Y, X ),
% 25.79/26.24 alpha9( X, Y ) }.
% 25.79/26.24 (42485) {G0,W5,D2,L2,V2,M2} { ! alpha10( X, Y ), aNaturalNumber0( Y ) }.
% 25.79/26.24 (42486) {G0,W7,D3,L2,V4,M2} { ! alpha10( X, Y ), aNaturalNumber0( skol6( Z
% 25.79/26.24 , T ) ) }.
% 25.79/26.24 (42487) {G0,W10,D4,L2,V2,M2} { ! alpha10( X, Y ), X = sdtasdt0( Y, skol6(
% 25.79/26.24 X, Y ) ) }.
% 25.79/26.24 (42488) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 25.79/26.24 Z ), ! X = sdtasdt0( Y, Z ), alpha10( X, Y ) }.
% 25.79/26.24 (42489) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) ) =
% 25.79/26.24 sdtasdt0( xn, xn ) }.
% 25.79/26.24 (42490) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 25.79/26.24 (42491) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.79/26.24 Y ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 25.79/26.24 (42492) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp
% 25.79/26.24 ), X = sz10, X = xp }.
% 25.79/26.24 (42493) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 25.79/26.24 (42494) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol7 ) }.
% 25.79/26.24 (42495) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xn ) = sdtasdt0( xp, skol7 )
% 25.79/26.24 }.
% 25.79/26.24 (42496) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xn ) ) }.
% 25.79/26.24 (42497) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol8 ) }.
% 25.79/26.24 (42498) {G0,W5,D3,L1,V0,M1} { xn = sdtasdt0( xp, skol8 ) }.
% 25.79/26.24 (42499) {G0,W3,D2,L1,V0,M1} { doDivides0( xp, xn ) }.
% 25.79/26.24 (42500) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xq ) }.
% 25.79/26.24 (42501) {G0,W5,D3,L1,V0,M1} { xn = sdtasdt0( xp, xq ) }.
% 25.79/26.24 (42502) {G0,W5,D3,L1,V0,M1} { xq = sdtsldt0( xn, xp ) }.
% 25.79/26.24 (42503) {G0,W13,D5,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xm, xm ) ) =
% 25.79/26.24 sdtasdt0( xp, sdtasdt0( xp, sdtasdt0( xq, xq ) ) ) }.
% 25.79/26.24
% 25.79/26.24
% 25.79/26.24 Total Proof:
% 25.79/26.24
% 25.79/26.24 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.79/26.24 parent0: (42390) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.79/26.24 substitution0:
% 25.79/26.24 X := X
% 25.79/26.24 Y := Y
% 25.79/26.24 end
% 25.79/26.24 permutation0:
% 25.79/26.24 0 ==> 0
% 25.79/26.24 1 ==> 1
% 25.79/26.24 2 ==> 2
% 25.79/26.24 end
% 25.79/26.24
% 25.79/26.24 subsumption: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 25.79/26.24 parent0: (42395) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 25.79/26.24 substitution0:
% 25.79/26.24 X := X
% 25.79/26.24 Y := Y
% 25.79/26.24 end
% 25.79/26.24 permutation0:
% 25.79/26.24 0 ==> 0
% 25.79/26.24 1 ==> 1
% 25.79/26.24 2 ==> 2
% 25.79/26.24 end
% 25.79/26.24
% 25.79/26.24 eqswap: (42539) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 25.79/26.24 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.79/26.24 parent0[3]: (42396) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y )
% 25.79/26.24 , Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 25.79/26.24 substitution0:
% 25.79/26.24 X := X
% 25.79/26.24 Y := Y
% 25.79/26.24 Z := Z
% 25.79/26.24 end
% 25.79/26.24
% 25.79/26.24 subsumption: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 25.79/26.24 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 25.79/26.24 parent0: (42539) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 25.79/26.24 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.79/26.24 substitution0:
% 25.79/26.24 X := X
% 25.79/26.24 Y := Y
% 25.79/26.24 Z := Z
% 25.79/26.24 end
% 25.79/26.24 permutation0:
% 25.79/26.24 0 ==> 3
% 25.79/26.24 1 ==> 0
% 25.79/26.24 2 ==> 1
% 25.79/26.24 3 ==> 2
% 25.79/26.24 end
% 25.79/26.24
% 25.79/26.24 subsumption: (57) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 25.79/26.24 Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 25.79/26.24 parent0: (42443) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 25.79/26.24 Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 25.79/26.24 substitution0:
% 25.79/26.24 X := X
% 25.79/26.24 Y := Y
% 25.79/26.24 Z := Z
% 25.79/26.24 end
% 25.79/26.24 permutation0:
% 25.79/26.24 0 ==> 0
% 25.79/26.24 1 ==> 1
% 25.79/26.24 2 ==> 2
% 25.79/26.24 3 ==> 3
% 25.79/26.24 4 ==> 4
% 25.79/26.24 5 ==> 5
% 25.79/26.24 6 ==> 6
% 25.79/26.24 end
% 25.79/26.24
% 25.79/26.24 eqswap: (43291) {G0,W23,D4,L6,V3,M6} { sdtsldt0( sdtasdt0( X, Y ), Z ) =
% 25.79/26.24 sdtasdt0( X, sdtsldt0( Y, Z ) ), ! aNaturalNumber0( Z ), !
% 25.79/26.24 aNaturalNumber0( Y ), Z = sz00, ! doDivides0( Z, Y ), ! aNaturalNumber0(
% 25.79/26.24 X ) }.
% 25.79/26.24 parent0[5]: (42448) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 25.79/26.24 Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X )
% 25.79/26.24 }.
% 25.79/26.24 substitution0:
% 25.79/26.24 X := Z
% 25.79/26.24 Y := Y
% 25.79/26.24 Z := X
% 25.79/26.24 end
% 25.79/26.24
% 25.79/26.24 subsumption: (62) {G0,W23,D4,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 25.79/26.24 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 25.79/26.24 Z ), sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) )
% 25.79/26.24 }.
% 25.79/26.24 parent0: (43291) {G0,W23,D4,L6,V3,M6} { sdtsldt0( sdtasdt0( X, Y ), Z ) =
% 25.92/26.32 sdtasdt0( X, sdtsldt0( Y, Z ) ), ! aNaturalNumber0( Z ), !
% 25.92/26.32 aNaturalNumber0( Y ), Z = sz00, ! doDivides0( Z, Y ), ! aNaturalNumber0(
% 25.92/26.32 X ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := Z
% 25.92/26.32 Y := Y
% 25.92/26.32 Z := X
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 5
% 25.92/26.32 1 ==> 0
% 25.92/26.32 2 ==> 1
% 25.92/26.32 3 ==> 2
% 25.92/26.32 4 ==> 3
% 25.92/26.32 5 ==> 4
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.92/26.32 parent0: (42468) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 25.92/26.32 parent0: (42470) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (87) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 25.92/26.32 parent0: (42473) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (103) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm )
% 25.92/26.32 ) ==> sdtasdt0( xn, xn ) }.
% 25.92/26.32 parent0: (42489) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xp, sdtasdt0( xm, xm ) )
% 25.92/26.32 = sdtasdt0( xn, xn ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (108) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol7 ) }.
% 25.92/26.32 parent0: (42494) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol7 ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (46923) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xp, skol7 ) = sdtasdt0( xn
% 25.92/26.32 , xn ) }.
% 25.92/26.32 parent0[0]: (42495) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xn ) = sdtasdt0(
% 25.92/26.32 xp, skol7 ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (109) {G0,W7,D3,L1,V0,M1} I { sdtasdt0( xp, skol7 ) ==>
% 25.92/26.32 sdtasdt0( xn, xn ) }.
% 25.92/26.32 parent0: (46923) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xp, skol7 ) = sdtasdt0(
% 25.92/26.32 xn, xn ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (110) {G0,W5,D3,L1,V0,M1} I { doDivides0( xp, sdtasdt0( xn, xn
% 25.92/26.32 ) ) }.
% 25.92/26.32 parent0: (42496) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xn )
% 25.92/26.32 ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (113) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 25.92/26.32 parent0: (42499) {G0,W3,D2,L1,V0,M1} { doDivides0( xp, xn ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (114) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xq ) }.
% 25.92/26.32 parent0: (42500) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xq ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (50067) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xp, xq ) = xn }.
% 25.92/26.32 parent0[0]: (42501) {G0,W5,D3,L1,V0,M1} { xn = sdtasdt0( xp, xq ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (115) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xp, xq ) ==> xn }.
% 25.92/26.32 parent0: (50067) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xp, xq ) = xn }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (50855) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xn, xp ) = xq }.
% 25.92/26.32 parent0[0]: (42502) {G0,W5,D3,L1,V0,M1} { xq = sdtsldt0( xn, xp ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (116) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 25.92/26.32 parent0: (50855) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xn, xp ) = xq }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 *** allocated 1297440 integers for termspace/termends
% 25.92/26.32 paramod: (51835) {G1,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xn ) = sdtasdt0(
% 25.92/26.32 xp, sdtasdt0( xp, sdtasdt0( xq, xq ) ) ) }.
% 25.92/26.32 parent0[0]: (103) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xp, sdtasdt0( xm, xm )
% 25.92/26.32 ) ==> sdtasdt0( xn, xn ) }.
% 25.92/26.32 parent1[0; 2]: (42503) {G0,W13,D5,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xm
% 25.92/26.32 , xm ) ) = sdtasdt0( xp, sdtasdt0( xp, sdtasdt0( xq, xq ) ) ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 substitution1:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (51836) {G1,W11,D5,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xp,
% 25.92/26.32 sdtasdt0( xq, xq ) ) ) = sdtasdt0( xn, xn ) }.
% 25.92/26.32 parent0[0]: (51835) {G1,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xn ) = sdtasdt0
% 25.92/26.32 ( xp, sdtasdt0( xp, sdtasdt0( xq, xq ) ) ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (117) {G1,W11,D5,L1,V0,M1} I;d(103) { ! sdtasdt0( xp, sdtasdt0
% 25.92/26.32 ( xp, sdtasdt0( xq, xq ) ) ) ==> sdtasdt0( xn, xn ) }.
% 25.92/26.32 parent0: (51836) {G1,W11,D5,L1,V0,M1} { ! sdtasdt0( xp, sdtasdt0( xp,
% 25.92/26.32 sdtasdt0( xq, xq ) ) ) = sdtasdt0( xn, xn ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (51837) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ), Z ) ==>
% 25.92/26.32 sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.92/26.32 parent0[3]: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 25.92/26.32 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := X
% 25.92/26.32 Y := Y
% 25.92/26.32 Z := Z
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 resolution: (51838) {G1,W15,D4,L3,V2,M3} { sdtasdt0( sdtasdt0( xp, X ), Y
% 25.92/26.32 ) ==> sdtasdt0( xp, sdtasdt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ) }.
% 25.92/26.32 parent0[1]: (51837) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ), Z )
% 25.92/26.32 ==> sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.92/26.32 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := xp
% 25.92/26.32 Y := X
% 25.92/26.32 Z := Y
% 25.92/26.32 end
% 25.92/26.32 substitution1:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (51843) {G1,W15,D4,L3,V2,M3} { sdtasdt0( xp, sdtasdt0( X, Y ) )
% 25.92/26.32 ==> sdtasdt0( sdtasdt0( xp, X ), Y ), ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ) }.
% 25.92/26.32 parent0[0]: (51838) {G1,W15,D4,L3,V2,M3} { sdtasdt0( sdtasdt0( xp, X ), Y
% 25.92/26.32 ) ==> sdtasdt0( xp, sdtasdt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := X
% 25.92/26.32 Y := Y
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (472) {G1,W15,D4,L3,V2,M3} R(11,84) { ! aNaturalNumber0( X ),
% 25.92/26.32 ! aNaturalNumber0( Y ), sdtasdt0( xp, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 25.92/26.32 sdtasdt0( xp, X ), Y ) }.
% 25.92/26.32 parent0: (51843) {G1,W15,D4,L3,V2,M3} { sdtasdt0( xp, sdtasdt0( X, Y ) )
% 25.92/26.32 ==> sdtasdt0( sdtasdt0( xp, X ), Y ), ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := X
% 25.92/26.32 Y := Y
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 2
% 25.92/26.32 1 ==> 0
% 25.92/26.32 2 ==> 1
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 factor: (51851) {G1,W13,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0(
% 25.92/26.32 xp, sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 25.92/26.32 parent0[0, 1]: (472) {G1,W15,D4,L3,V2,M3} R(11,84) { ! aNaturalNumber0( X )
% 25.92/26.32 , ! aNaturalNumber0( Y ), sdtasdt0( xp, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 25.92/26.32 sdtasdt0( xp, X ), Y ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := X
% 25.92/26.32 Y := X
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (500) {G2,W13,D4,L2,V1,M2} F(472) { ! aNaturalNumber0( X ),
% 25.92/26.32 sdtasdt0( xp, sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 25.92/26.32 parent0: (51851) {G1,W13,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0(
% 25.92/26.32 xp, sdtasdt0( X, X ) ) ==> sdtasdt0( sdtasdt0( xp, X ), X ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := X
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 1 ==> 1
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (51854) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ), Z ) ==>
% 25.92/26.32 sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.92/26.32 parent0[3]: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 25.92/26.32 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := X
% 25.92/26.32 Y := Y
% 25.92/26.32 Z := Z
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 paramod: (51856) {G1,W15,D4,L4,V1,M4} { sdtasdt0( sdtasdt0( X, xp ), xq )
% 25.92/26.32 ==> sdtasdt0( X, xn ), ! aNaturalNumber0( X ), ! aNaturalNumber0( xp ), !
% 25.92/26.32 aNaturalNumber0( xq ) }.
% 25.92/26.32 parent0[0]: (115) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xp, xq ) ==> xn }.
% 25.92/26.32 parent1[0; 8]: (51854) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ),
% 25.92/26.32 Z ) ==> sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 substitution1:
% 25.92/26.32 X := X
% 25.92/26.32 Y := xp
% 25.92/26.32 Z := xq
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 resolution: (51865) {G1,W13,D4,L3,V1,M3} { sdtasdt0( sdtasdt0( X, xp ), xq
% 25.92/26.32 ) ==> sdtasdt0( X, xn ), ! aNaturalNumber0( X ), ! aNaturalNumber0( xq )
% 25.92/26.32 }.
% 25.92/26.32 parent0[2]: (51856) {G1,W15,D4,L4,V1,M4} { sdtasdt0( sdtasdt0( X, xp ), xq
% 25.92/26.32 ) ==> sdtasdt0( X, xn ), ! aNaturalNumber0( X ), ! aNaturalNumber0( xp )
% 25.92/26.32 , ! aNaturalNumber0( xq ) }.
% 25.92/26.32 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := X
% 25.92/26.32 end
% 25.92/26.32 substitution1:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (983) {G1,W13,D4,L3,V1,M3} P(115,11);r(84) { ! aNaturalNumber0
% 25.92/26.32 ( X ), ! aNaturalNumber0( xq ), sdtasdt0( sdtasdt0( X, xp ), xq ) ==>
% 25.92/26.32 sdtasdt0( X, xn ) }.
% 25.92/26.32 parent0: (51865) {G1,W13,D4,L3,V1,M3} { sdtasdt0( sdtasdt0( X, xp ), xq )
% 25.92/26.32 ==> sdtasdt0( X, xn ), ! aNaturalNumber0( X ), ! aNaturalNumber0( xq )
% 25.92/26.32 }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := X
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 2
% 25.92/26.32 1 ==> 0
% 25.92/26.32 2 ==> 1
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (51869) {G0,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xp, xq ) }.
% 25.92/26.32 parent0[0]: (115) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xp, xq ) ==> xn }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 paramod: (51870) {G1,W9,D3,L3,V0,M3} { xn ==> sdtasdt0( xq, xp ), !
% 25.92/26.32 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ) }.
% 25.92/26.32 parent0[2]: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 25.92/26.32 parent1[0; 2]: (51869) {G0,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xp, xq ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := xp
% 25.92/26.32 Y := xq
% 25.92/26.32 end
% 25.92/26.32 substitution1:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 resolution: (51910) {G1,W7,D3,L2,V0,M2} { xn ==> sdtasdt0( xq, xp ), !
% 25.92/26.32 aNaturalNumber0( xq ) }.
% 25.92/26.32 parent0[1]: (51870) {G1,W9,D3,L3,V0,M3} { xn ==> sdtasdt0( xq, xp ), !
% 25.92/26.32 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ) }.
% 25.92/26.32 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 substitution1:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (51911) {G1,W7,D3,L2,V0,M2} { sdtasdt0( xq, xp ) ==> xn, !
% 25.92/26.32 aNaturalNumber0( xq ) }.
% 25.92/26.32 parent0[0]: (51910) {G1,W7,D3,L2,V0,M2} { xn ==> sdtasdt0( xq, xp ), !
% 25.92/26.32 aNaturalNumber0( xq ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (984) {G1,W7,D3,L2,V0,M2} P(115,10);r(84) { ! aNaturalNumber0
% 25.92/26.32 ( xq ), sdtasdt0( xq, xp ) ==> xn }.
% 25.92/26.32 parent0: (51911) {G1,W7,D3,L2,V0,M2} { sdtasdt0( xq, xp ) ==> xn, !
% 25.92/26.32 aNaturalNumber0( xq ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 1
% 25.92/26.32 1 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 factor: (51915) {G1,W11,D4,L2,V0,M2} { ! aNaturalNumber0( xq ), sdtasdt0(
% 25.92/26.32 sdtasdt0( xq, xp ), xq ) ==> sdtasdt0( xq, xn ) }.
% 25.92/26.32 parent0[0, 1]: (983) {G1,W13,D4,L3,V1,M3} P(115,11);r(84) { !
% 25.92/26.32 aNaturalNumber0( X ), ! aNaturalNumber0( xq ), sdtasdt0( sdtasdt0( X, xp
% 25.92/26.32 ), xq ) ==> sdtasdt0( X, xn ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := xq
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 paramod: (51916) {G2,W11,D3,L3,V0,M3} { sdtasdt0( xn, xq ) ==> sdtasdt0(
% 25.92/26.32 xq, xn ), ! aNaturalNumber0( xq ), ! aNaturalNumber0( xq ) }.
% 25.92/26.32 parent0[1]: (984) {G1,W7,D3,L2,V0,M2} P(115,10);r(84) { ! aNaturalNumber0(
% 25.92/26.32 xq ), sdtasdt0( xq, xp ) ==> xn }.
% 25.92/26.32 parent1[1; 2]: (51915) {G1,W11,D4,L2,V0,M2} { ! aNaturalNumber0( xq ),
% 25.92/26.32 sdtasdt0( sdtasdt0( xq, xp ), xq ) ==> sdtasdt0( xq, xn ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 substitution1:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 factor: (51917) {G2,W9,D3,L2,V0,M2} { sdtasdt0( xn, xq ) ==> sdtasdt0( xq
% 25.92/26.32 , xn ), ! aNaturalNumber0( xq ) }.
% 25.92/26.32 parent0[1, 2]: (51916) {G2,W11,D3,L3,V0,M3} { sdtasdt0( xn, xq ) ==>
% 25.92/26.32 sdtasdt0( xq, xn ), ! aNaturalNumber0( xq ), ! aNaturalNumber0( xq ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 resolution: (51918) {G1,W7,D3,L1,V0,M1} { sdtasdt0( xn, xq ) ==> sdtasdt0
% 25.92/26.32 ( xq, xn ) }.
% 25.92/26.32 parent0[1]: (51917) {G2,W9,D3,L2,V0,M2} { sdtasdt0( xn, xq ) ==> sdtasdt0
% 25.92/26.32 ( xq, xn ), ! aNaturalNumber0( xq ) }.
% 25.92/26.32 parent1[0]: (114) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xq ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 substitution1:
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 subsumption: (985) {G2,W7,D3,L1,V0,M1} F(983);d(984);r(114) { sdtasdt0( xn
% 25.92/26.32 , xq ) ==> sdtasdt0( xq, xn ) }.
% 25.92/26.32 parent0: (51918) {G1,W7,D3,L1,V0,M1} { sdtasdt0( xn, xq ) ==> sdtasdt0( xq
% 25.92/26.32 , xn ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 end
% 25.92/26.32 permutation0:
% 25.92/26.32 0 ==> 0
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 eqswap: (51920) {G0,W23,D4,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! aNaturalNumber0( Z ),
% 25.92/26.32 sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) ) }.
% 25.92/26.32 parent0[2]: (62) {G0,W23,D4,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 25.92/26.32 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 25.92/26.32 Z ), sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) )
% 25.92/26.32 }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := X
% 25.92/26.32 Y := Y
% 25.92/26.32 Z := Z
% 25.92/26.32 end
% 25.92/26.32
% 25.92/26.32 resolution: (51924) {G1,W20,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0(
% 25.92/26.32 xp ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( X ), sdtsldt0( sdtasdt0
% 25.92/26.32 ( X, xn ), xp ) ==> sdtasdt0( X, sdtsldt0( xn, xp ) ) }.
% 25.92/26.32 parent0[3]: (51920) {G0,W23,D4,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 25.92/26.32 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! aNaturalNumber0( Z )
% 25.92/26.32 , sdtsldt0( sdtasdt0( Z, Y ), X ) ==> sdtasdt0( Z, sdtsldt0( Y, X ) ) }.
% 25.92/26.32 parent1[0]: (113) {G0,W3,D2,L1,V0,M1} I { doDivides0( xp, xn ) }.
% 25.92/26.32 substitution0:
% 25.92/26.32 X := xp
% 25.92/26.32 Y := xn
% 25.92/26.32 Z := X
% 25.92/26.32 end
% 25.92/26.32 substitution1:
% 93.09/93.49 end
% 93.09/93.49
% 93.09/93.49 paramod: (51937) {G1,W18,D4,L5,V1,M5} { sdtsldt0( sdtasdt0( X, xn ), xp )
% 93.09/93.49 ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xp ), !
% 93.09/93.49 aNaturalNumber0( xn ), ! aNaturalNumber0( X ) }.
% 93.09/93.49 parent0[0]: (116) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xn, xp ) ==> xq }.
% 93.09/93.49 parent1[4; 8]: (51924) {G1,W20,D4,L5,V1,M5} { sz00 = xp, ! aNaturalNumber0
% 93.09/93.49 ( xp ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( X ), sdtsldt0(
% 93.09/93.49 sdtasdt0( X, xn ), xp ) ==> sdtasdt0( X, sdtsldt0( xn, xp ) ) }.
% 93.09/93.49 substitution0:
% 93.09/93.49 end
% 93.09/93.49 substitution1:
% 93.09/93.49 X := X
% 93.09/93.49 end
% 93.09/93.49
% 93.09/93.49 resolution: (51948) {G1,W16,D4,L4,V1,M4} { sdtsldt0( sdtasdt0( X, xn ), xp
% 93.09/93.49 ) ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xn ), !
% 93.09/93.49 aNaturalNumber0( X ) }.
% 93.09/93.49 parent0[2]: (51937) {G1,W18,D4,L5,V1,M5} { sdtsldt0( sdtasdt0( X, xn ), xp
% 93.09/93.49 ) ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xp ), !
% 93.09/93.49 aNaturalNumber0( xn ), ! aNaturalNumber0( X ) }.
% 93.09/93.49 parent1[0]: (84) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 93.09/93.49 substitution0:
% 93.09/93.49 X := X
% 93.09/93.49 end
% 93.09/93.49 substitution1:
% 93.09/93.49 end
% 93.09/93.49
% 93.09/93.49 eqswap: (51950) {G1,W16,D4,L4,V1,M4} { xp = sz00, sdtsldt0( sdtasdt0( X,
% 93.09/93.49 xn ), xp ) ==> sdtasdt0( X, xq ), ! aNaturalNumber0( xn ), !
% 93.09/93.49 aNaturalNumber0( X ) }.
% 93.09/93.49 parent0[1]: (51948) {G1,W16,D4,L4,V1,M4} { sdtsldt0( sdtasdt0( X, xn ), xp
% 93.09/93.49 ) ==> sdtasdt0( X, xq ), sz00 = xp, ! aNaturalNumber0( xn ), !
% 93.09/93.49 aNaturalNumber0( X ) }.
% 93.09/93.49 substitution0:
% 93.09/93.49 X := X
% 93.09/93.49 end
% 93.09/93.49
% 93.09/93.49 subsumption: (10129) {G1,W16,D4,L4,V1,M4} R(62,113);d(116);r(84) { !
% 93.09/93.49 aNaturalNumber0( xn ), xp ==> sz00, ! aNaturalNumber0( X ), sdtsldt0(
% 93.09/93.49 sdtasdt0( X, xn ), xp ) ==> sdtasdt0( X, xq ) }.
% 93.09/93.49 parent0: (51950) {G1,W16,D4,L4,V1,M4} { xp = sz00, sdtsldt0( sdtasdt0( X,
% 93.09/93.49 xn ), xp ) ==> sdtasdt0( X, xq ), ! aNaturalNumber0( xn ), !
% 93.09/93.49 aNaturalNumber0( X ) }.
% 93.09/93.49 substitution0:
% 93.09/93.49 X := X
% 93.09/93.49 end
% 93.09/93.49 permutation0:
% 93.09/93.49 0 ==> 1
% 93.09/93.49 1 ==> 3
% 93.09/93.49 2 ==> 0
% 93.09/93.49 3 ==> 2
% 93.09/93.49 end
% 93.09/93.49
% 93.09/93.49 factor: (51963) {G1,W14,D4,L3,V0,M3} { ! aNaturalNumber0( xn ), xp ==>
% 93.09/93.49 sz00, sdtsldt0( sdtasdt0( xn, xn ), xp ) ==> sdtasdt0( xn, xq ) }.
% 93.09/93.49 parent0[0, 2]: (10129) {G1,W16,D4,L4,V1,M4} R(62,113);d(116);r(84) { !
% 93.09/93.49 aNaturalNumber0( xn ), xp ==> sz00, ! aNaturalNumber0( X ), sdtsldt0(
% 93.09/93.49 sdtasdt0( X, xn ), xp ) ==> sdtasdt0( X, xq ) }.
% 93.09/93.49 substitution0:
% 93.09/93.49 X := xn
% 93.09/93.49 end
% 93.09/93.49
% 93.09/93.49 paramod: (51964) {G2,W14,D4,L3,V0,M3} { sdtsldt0( sdtasdt0( xn, xn ), xp )
% 93.09/93.49 ==> sdtasdt0( xq, xn ), ! aNaturalNumber0( xn ), xp ==> sz00 }.
% 93.09/93.49 parent0[0]: (985) {G2,W7,D3,L1,V0,M1} F(983);d(984);r(114) { sdtasdt0( xn,
% 93.09/93.49 xq ) ==> sdtasdt0( xq, xn ) }.
% 93.09/93.49 parent1[2; 6]: (51963) {G1,W14,D4,L3,V0,M3} { ! aNaturalNumber0( xn ), xp
% 93.09/93.49 ==> sz00, sdtsldt0( sdtasdt0( xn, xn ), xp ) ==> sdtasdt0( xn, xq ) }.
% 93.09/93.49 substitution0:
% 93.09/93.49 end
% 93.09/93.49 substitution1:
% 93.09/93.49 end
% 93.09/93.49
% 93.09/93.49 resolution: (51965) {G1,W12,D4,L2,V0,M2} { sdtsldt0( sdtasdt0( xn, xn ),
% 93.09/93.49 xp ) ==> sdtasdt0( xq, xn ), xp ==> sz00 }.
% 93.09/93.49 parent0[1]: (51964) {G2,W14,D4,L3,V0,M3} { sdtsldt0( sdtasdt0( xn, xn ),
% 93.09/93.49 xp ) ==> sdtasdt0( xq, xn ), ! aNaturalNumber0( xn ), xp ==> sz00 }.
% 93.09/93.49 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 93.09/93.49 substitution0:
% 93.09/93.49 end
% 93.09/93.49 substitution1:
% 93.09/93.49 end
% 93.09/93.49
% 93.09/93.49 subsumption: (10321) {G3,W12,D4,L2,V0,M2} F(10129);d(985);r(82) { xp ==>
% 93.09/93.49 sz00, sdtsldt0( sdtasdt0( xn, xn ), xp ) ==> sdtasdt0( xq, xn ) }.
% 93.09/93.49 parent0: (51965) {G1,W12,D4,L2,V0,M2} { sdtsldt0( sdtasdt0( xn, xn ), xp )
% 93.09/93.49 ==> sdtasdt0( xq, xn ), xp ==> sz00 }.
% 93.09/93.49 substitution0:
% 93.09/93.49 end
% 93.09/93.49 permutation0:
% 93.09/93.49 0 ==> 1
% 93.09/93.49 1 ==> 0
% 93.09/93.49 end
% 93.09/93.49
% 93.09/93.49 *** allocated 15000 integers for justifications
% 93.09/93.49 *** allocated 22500 integers for justifications
% 93.09/93.49 *** allocated 33750 integers for justifications
% 93.09/93.49 *** allocated 50625 integers for justifications
% 93.09/93.49 *** allocated 75937 integers for justifications
% 93.09/93.49 *** allocated 113905 integers for justifications
% 93.09/93.49 *** allocated 170857 integers for justifications
% 93.09/93.49 *** allocated 1946160 integers for termspace/termends
% 93.09/93.49 *** allocated 256285 integers for justifications
% 93.09/93.49 *** allocated 384427 integers for justifications
% 93.09/93.49 *** allocated 2919240 integers for termspace/termends
% 93.09/93.49 *** allocated 576640 integers for justifications
% 93.09/93.49 *** allocated 4378860 integers for clauses
% 93.09/93.49 *** allocated 864960 integers for justifications
% 93.09/93.49 *** allocated 4378860 integers for termspace/termends
% 93.09/93.49 *** allocated 1297440 inCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------