TSTP Solution File: NUM490+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM490+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:22:50 EDT 2022
% Result : Theorem 27.63s 28.09s
% Output : Refutation 27.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM490+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 11:37:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.12 *** allocated 10000 integers for termspace/termends
% 0.44/1.12 *** allocated 10000 integers for clauses
% 0.44/1.12 *** allocated 10000 integers for justifications
% 0.44/1.12 Bliksem 1.12
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Automatic Strategy Selection
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Clauses:
% 0.44/1.12
% 0.44/1.12 { && }.
% 0.44/1.12 { aNaturalNumber0( sz00 ) }.
% 0.44/1.12 { aNaturalNumber0( sz10 ) }.
% 0.44/1.12 { ! sz10 = sz00 }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.44/1.12 ( X, Y ) ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.44/1.12 ( X, Y ) ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.44/1.12 sdtpldt0( Y, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.12 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.44/1.12 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.44/1.12 sdtasdt0( Y, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.12 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.44/1.12 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.44/1.12 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.12 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.44/1.12 , Z ) ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.12 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.44/1.12 , X ) ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.12 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.12 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.44/1.12 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.44/1.12 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.44/1.12 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.44/1.12 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.44/1.12 , X = sz00 }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.44/1.12 , Y = sz00 }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.44/1.12 , X = sz00, Y = sz00 }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.44/1.12 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.44/1.12 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.12 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.44/1.12 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.44/1.12 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.44/1.12 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.44/1.12 sdtlseqdt0( Y, X ), X = Y }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.12 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.44/1.12 X }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.44/1.12 sdtlseqdt0( Y, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.44/1.12 ) ) }.
% 0.44/1.12 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.44/1.12 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.44/1.12 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 1.93/2.35 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 1.93/2.35 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 1.93/2.35 ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.93/2.35 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 1.93/2.35 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 1.93/2.35 sdtasdt0( Z, X ) ) }.
% 1.93/2.35 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 1.93/2.35 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 1.93/2.35 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 1.93/2.35 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 1.93/2.35 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 1.93/2.35 ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 1.93/2.35 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 1.93/2.35 sdtasdt0( Y, X ) ) }.
% 1.93/2.35 { && }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.93/2.35 ), iLess0( X, Y ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 1.93/2.35 aNaturalNumber0( skol2( Z, T ) ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.93/2.35 sdtasdt0( X, skol2( X, Y ) ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.93/2.35 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.93/2.35 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.93/2.35 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.93/2.35 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 1.93/2.35 ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.93/2.35 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.93/2.35 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 1.93/2.35 ) ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.93/2.35 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 1.93/2.35 Z ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 1.93/2.35 sz00, sdtlseqdt0( X, Y ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 1.93/2.35 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 1.93/2.35 ( sdtasdt0( Z, Y ), X ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 1.93/2.35 { ! alpha1( X ), ! X = sz10 }.
% 1.93/2.35 { ! alpha1( X ), alpha2( X ) }.
% 1.93/2.35 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 1.93/2.35 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 1.93/2.35 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 1.93/2.35 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 1.93/2.35 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 1.93/2.35 { ! Y = sz10, alpha4( X, Y ) }.
% 1.93/2.35 { ! Y = X, alpha4( X, Y ) }.
% 1.93/2.35 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 1.93/2.35 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 1.93/2.35 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 1.93/2.35 }.
% 1.93/2.35 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 1.93/2.35 .
% 1.93/2.35 { aNaturalNumber0( xn ) }.
% 1.93/2.35 { aNaturalNumber0( xm ) }.
% 1.93/2.35 { aNaturalNumber0( xp ) }.
% 1.93/2.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.93/2.35 isPrime0( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 1.93/2.35 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), doDivides0(
% 1.93/2.35 Z, X ), doDivides0( Z, Y ) }.
% 1.93/2.35 { isPrime0( xp ) }.
% 1.93/2.35 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 1.93/2.35 { sdtlseqdt0( xp, xn ) }.
% 1.93/2.35 { xr = sdtmndt0( xn, xp ) }.
% 1.93/2.35 { ! xr = xn }.
% 1.93/2.35 { sdtlseqdt0( xr, xn ) }.
% 27.63/28.09 { xn = sdtpldt0( xp, xr ) }.
% 27.63/28.09 { sdtasdt0( xn, xm ) = sdtpldt0( sdtasdt0( xp, xm ), sdtasdt0( xr, xm ) ) }
% 27.63/28.09 .
% 27.63/28.09 { ! sdtasdt0( xr, xm ) = sdtmndt0( sdtasdt0( xn, xm ), sdtasdt0( xp, xm ) )
% 27.63/28.09 }.
% 27.63/28.09
% 27.63/28.09 percentage equality = 0.284830, percentage horn = 0.712766
% 27.63/28.09 This is a problem with some equality
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Options Used:
% 27.63/28.09
% 27.63/28.09 useres = 1
% 27.63/28.09 useparamod = 1
% 27.63/28.09 useeqrefl = 1
% 27.63/28.09 useeqfact = 1
% 27.63/28.09 usefactor = 1
% 27.63/28.09 usesimpsplitting = 0
% 27.63/28.09 usesimpdemod = 5
% 27.63/28.09 usesimpres = 3
% 27.63/28.09
% 27.63/28.09 resimpinuse = 1000
% 27.63/28.09 resimpclauses = 20000
% 27.63/28.09 substype = eqrewr
% 27.63/28.09 backwardsubs = 1
% 27.63/28.09 selectoldest = 5
% 27.63/28.09
% 27.63/28.09 litorderings [0] = split
% 27.63/28.09 litorderings [1] = extend the termordering, first sorting on arguments
% 27.63/28.09
% 27.63/28.09 termordering = kbo
% 27.63/28.09
% 27.63/28.09 litapriori = 0
% 27.63/28.09 termapriori = 1
% 27.63/28.09 litaposteriori = 0
% 27.63/28.09 termaposteriori = 0
% 27.63/28.09 demodaposteriori = 0
% 27.63/28.09 ordereqreflfact = 0
% 27.63/28.09
% 27.63/28.09 litselect = negord
% 27.63/28.09
% 27.63/28.09 maxweight = 15
% 27.63/28.09 maxdepth = 30000
% 27.63/28.09 maxlength = 115
% 27.63/28.09 maxnrvars = 195
% 27.63/28.09 excuselevel = 1
% 27.63/28.09 increasemaxweight = 1
% 27.63/28.09
% 27.63/28.09 maxselected = 10000000
% 27.63/28.09 maxnrclauses = 10000000
% 27.63/28.09
% 27.63/28.09 showgenerated = 0
% 27.63/28.09 showkept = 0
% 27.63/28.09 showselected = 0
% 27.63/28.09 showdeleted = 0
% 27.63/28.09 showresimp = 1
% 27.63/28.09 showstatus = 2000
% 27.63/28.09
% 27.63/28.09 prologoutput = 0
% 27.63/28.09 nrgoals = 5000000
% 27.63/28.09 totalproof = 1
% 27.63/28.09
% 27.63/28.09 Symbols occurring in the translation:
% 27.63/28.09
% 27.63/28.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 27.63/28.09 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 27.63/28.09 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 27.63/28.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 27.63/28.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.63/28.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.63/28.09 aNaturalNumber0 [36, 1] (w:1, o:20, a:1, s:1, b:0),
% 27.63/28.09 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 27.63/28.09 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 27.63/28.09 sdtpldt0 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 27.63/28.09 sdtasdt0 [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 27.63/28.09 sdtlseqdt0 [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 27.63/28.09 sdtmndt0 [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 27.63/28.09 iLess0 [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 27.63/28.09 doDivides0 [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 27.63/28.09 sdtsldt0 [47, 2] (w:1, o:56, a:1, s:1, b:0),
% 27.63/28.09 isPrime0 [48, 1] (w:1, o:21, a:1, s:1, b:0),
% 27.63/28.09 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 27.63/28.09 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 27.63/28.09 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 27.63/28.09 xr [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 27.63/28.09 alpha1 [53, 1] (w:1, o:22, a:1, s:1, b:1),
% 27.63/28.09 alpha2 [54, 1] (w:1, o:23, a:1, s:1, b:1),
% 27.63/28.09 alpha3 [55, 2] (w:1, o:57, a:1, s:1, b:1),
% 27.63/28.09 alpha4 [56, 2] (w:1, o:58, a:1, s:1, b:1),
% 27.63/28.09 alpha5 [57, 3] (w:1, o:61, a:1, s:1, b:1),
% 27.63/28.09 alpha6 [58, 3] (w:1, o:62, a:1, s:1, b:1),
% 27.63/28.09 skol1 [59, 2] (w:1, o:59, a:1, s:1, b:1),
% 27.63/28.09 skol2 [60, 2] (w:1, o:60, a:1, s:1, b:1),
% 27.63/28.09 skol3 [61, 1] (w:1, o:24, a:1, s:1, b:1),
% 27.63/28.09 skol4 [62, 1] (w:1, o:25, a:1, s:1, b:1).
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Starting Search:
% 27.63/28.09
% 27.63/28.09 *** allocated 15000 integers for clauses
% 27.63/28.09 *** allocated 22500 integers for clauses
% 27.63/28.09 *** allocated 33750 integers for clauses
% 27.63/28.09 *** allocated 15000 integers for termspace/termends
% 27.63/28.09 *** allocated 50625 integers for clauses
% 27.63/28.09 *** allocated 22500 integers for termspace/termends
% 27.63/28.09 *** allocated 75937 integers for clauses
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 33750 integers for termspace/termends
% 27.63/28.09 *** allocated 113905 integers for clauses
% 27.63/28.09 *** allocated 50625 integers for termspace/termends
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 12164
% 27.63/28.09 Kept: 2000
% 27.63/28.09 Inuse: 136
% 27.63/28.09 Deleted: 2
% 27.63/28.09 Deletedinuse: 0
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 170857 integers for clauses
% 27.63/28.09 *** allocated 75937 integers for termspace/termends
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 256285 integers for clauses
% 27.63/28.09 *** allocated 113905 integers for termspace/termends
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 27037
% 27.63/28.09 Kept: 4181
% 27.63/28.09 Inuse: 190
% 27.63/28.09 Deleted: 19
% 27.63/28.09 Deletedinuse: 13
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 170857 integers for termspace/termends
% 27.63/28.09 *** allocated 384427 integers for clauses
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 49374
% 27.63/28.09 Kept: 6623
% 27.63/28.09 Inuse: 230
% 27.63/28.09 Deleted: 30
% 27.63/28.09 Deletedinuse: 14
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 256285 integers for termspace/termends
% 27.63/28.09 *** allocated 576640 integers for clauses
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 68701
% 27.63/28.09 Kept: 8652
% 27.63/28.09 Inuse: 270
% 27.63/28.09 Deleted: 34
% 27.63/28.09 Deletedinuse: 18
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 85735
% 27.63/28.09 Kept: 11075
% 27.63/28.09 Inuse: 313
% 27.63/28.09 Deleted: 42
% 27.63/28.09 Deletedinuse: 19
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 384427 integers for termspace/termends
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 864960 integers for clauses
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 102923
% 27.63/28.09 Kept: 13187
% 27.63/28.09 Inuse: 348
% 27.63/28.09 Deleted: 50
% 27.63/28.09 Deletedinuse: 27
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 118049
% 27.63/28.09 Kept: 15410
% 27.63/28.09 Inuse: 442
% 27.63/28.09 Deleted: 58
% 27.63/28.09 Deletedinuse: 29
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 143556
% 27.63/28.09 Kept: 17422
% 27.63/28.09 Inuse: 557
% 27.63/28.09 Deleted: 75
% 27.63/28.09 Deletedinuse: 36
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 156672
% 27.63/28.09 Kept: 19433
% 27.63/28.09 Inuse: 593
% 27.63/28.09 Deleted: 84
% 27.63/28.09 Deletedinuse: 43
% 27.63/28.09
% 27.63/28.09 *** allocated 1297440 integers for clauses
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 576640 integers for termspace/termends
% 27.63/28.09 Resimplifying clauses:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 167716
% 27.63/28.09 Kept: 21696
% 27.63/28.09 Inuse: 614
% 27.63/28.09 Deleted: 5625
% 27.63/28.09 Deletedinuse: 43
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 198647
% 27.63/28.09 Kept: 23757
% 27.63/28.09 Inuse: 680
% 27.63/28.09 Deleted: 5631
% 27.63/28.09 Deletedinuse: 49
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 223070
% 27.63/28.09 Kept: 25795
% 27.63/28.09 Inuse: 737
% 27.63/28.09 Deleted: 5637
% 27.63/28.09 Deletedinuse: 52
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 236390
% 27.63/28.09 Kept: 27917
% 27.63/28.09 Inuse: 772
% 27.63/28.09 Deleted: 5637
% 27.63/28.09 Deletedinuse: 52
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 1946160 integers for clauses
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 251254
% 27.63/28.09 Kept: 30193
% 27.63/28.09 Inuse: 812
% 27.63/28.09 Deleted: 5637
% 27.63/28.09 Deletedinuse: 52
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 261366
% 27.63/28.09 Kept: 32669
% 27.63/28.09 Inuse: 837
% 27.63/28.09 Deleted: 5637
% 27.63/28.09 Deletedinuse: 52
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 270090
% 27.63/28.09 Kept: 34763
% 27.63/28.09 Inuse: 857
% 27.63/28.09 Deleted: 5637
% 27.63/28.09 Deletedinuse: 52
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 *** allocated 864960 integers for termspace/termends
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 280401
% 27.63/28.09 Kept: 36776
% 27.63/28.09 Inuse: 884
% 27.63/28.09 Deleted: 5637
% 27.63/28.09 Deletedinuse: 52
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 296668
% 27.63/28.09 Kept: 38829
% 27.63/28.09 Inuse: 927
% 27.63/28.09 Deleted: 5637
% 27.63/28.09 Deletedinuse: 52
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Intermediate Status:
% 27.63/28.09 Generated: 313999
% 27.63/28.09 Kept: 40859
% 27.63/28.09 Inuse: 974
% 27.63/28.09 Deleted: 5637
% 27.63/28.09 Deletedinuse: 52
% 27.63/28.09
% 27.63/28.09 *** allocated 2919240 integers for clauses
% 27.63/28.09 Resimplifying inuse:
% 27.63/28.09 Done
% 27.63/28.09
% 27.63/28.09 Resimplifying clauses:
% 27.63/28.09
% 27.63/28.09 Bliksems!, er is een bewijs:
% 27.63/28.09 % SZS status Theorem
% 27.63/28.09 % SZS output start Refutation
% 27.63/28.09
% 27.63/28.09 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 27.63/28.09 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.63/28.09 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 27.63/28.09 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.63/28.09 (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.63/28.09 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 27.63/28.09 }.
% 27.63/28.09 (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.63/28.09 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 27.63/28.09 }.
% 27.63/28.09 (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.63/28.09 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 27.63/28.09 , Z = sdtmndt0( Y, X ) }.
% 27.63/28.09 (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.63/28.09 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.63/28.09 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 27.63/28.09 (87) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xn ) }.
% 27.63/28.09 (88) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xn, xp ) ==> xr }.
% 27.63/28.09 (92) {G0,W11,D4,L1,V0,M1} I { sdtpldt0( sdtasdt0( xp, xm ), sdtasdt0( xr,
% 27.63/28.09 xm ) ) ==> sdtasdt0( xn, xm ) }.
% 27.63/28.09 (93) {G0,W11,D4,L1,V0,M1} I { ! sdtmndt0( sdtasdt0( xn, xm ), sdtasdt0( xp
% 27.63/28.09 , xm ) ) ==> sdtasdt0( xr, xm ) }.
% 27.63/28.09 (129) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X ), !
% 27.63/28.09 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 27.63/28.09 (256) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ), aNaturalNumber0
% 27.63/28.09 ( sdtasdt0( X, xm ) ) }.
% 27.63/28.09 (1827) {G1,W7,D2,L3,V1,M3} R(28,87);d(88);r(83) { ! aNaturalNumber0( xn ),
% 27.63/28.09 aNaturalNumber0( X ), ! X = xr }.
% 27.63/28.09 (1858) {G2,W2,D2,L1,V0,M1} Q(1827);r(81) { aNaturalNumber0( xr ) }.
% 27.63/28.09 (12822) {G1,W12,D3,L3,V0,M3} P(92,4) { ! aNaturalNumber0( sdtasdt0( xp, xm
% 27.63/28.09 ) ), ! aNaturalNumber0( sdtasdt0( xr, xm ) ), aNaturalNumber0( sdtasdt0
% 27.63/28.09 ( xn, xm ) ) }.
% 27.63/28.09 (13121) {G1,W31,D4,L6,V1,M6} P(30,93) { ! X = sdtasdt0( xr, xm ), !
% 27.63/28.09 aNaturalNumber0( sdtasdt0( xp, xm ) ), ! aNaturalNumber0( sdtasdt0( xn,
% 27.63/28.09 xm ) ), ! sdtlseqdt0( sdtasdt0( xp, xm ), sdtasdt0( xn, xm ) ), !
% 27.63/28.09 aNaturalNumber0( X ), ! sdtpldt0( sdtasdt0( xp, xm ), X ) ==> sdtasdt0(
% 27.63/28.09 xn, xm ) }.
% 27.63/28.09 (13184) {G2,W15,D3,L3,V0,M3} Q(13121);d(92);q;r(12822) { ! aNaturalNumber0
% 27.63/28.09 ( sdtasdt0( xp, xm ) ), ! sdtlseqdt0( sdtasdt0( xp, xm ), sdtasdt0( xn,
% 27.63/28.09 xm ) ), ! aNaturalNumber0( sdtasdt0( xr, xm ) ) }.
% 27.63/28.09 (16871) {G3,W8,D3,L2,V0,M2} P(92,129);r(13184) { ! aNaturalNumber0(
% 27.63/28.09 sdtasdt0( xp, xm ) ), ! aNaturalNumber0( sdtasdt0( xr, xm ) ) }.
% 27.63/28.09 (35128) {G3,W4,D3,L1,V0,M1} R(256,1858) { aNaturalNumber0( sdtasdt0( xr, xm
% 27.63/28.09 ) ) }.
% 27.63/28.09 (35142) {G2,W4,D3,L1,V0,M1} R(256,83) { aNaturalNumber0( sdtasdt0( xp, xm )
% 27.63/28.09 ) }.
% 27.63/28.09 (42760) {G4,W0,D0,L0,V0,M0} S(16871);r(35142);r(35128) { }.
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 % SZS output end Refutation
% 27.63/28.09 found a proof!
% 27.63/28.09
% 27.63/28.09
% 27.63/28.09 Unprocessed initial clauses:
% 27.63/28.09
% 27.63/28.09 (42762) {G0,W1,D1,L1,V0,M1} { && }.
% 27.63/28.09 (42763) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 27.63/28.09 (42764) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 27.63/28.09 (42765) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 27.63/28.09 (42766) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.63/28.09 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.63/28.09 (42767) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.63/28.09 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.63/28.09 (42768) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.63/28.09 (42769) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 27.63/28.09 X, sdtpldt0( Y, Z ) ) }.
% 27.63/28.09 (42770) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 27.63/28.09 = X }.
% 27.63/28.09 (42771) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 27.63/28.09 X ) }.
% 27.63/28.09 (42772) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.63/28.09 (42773) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 27.63/28.09 X, sdtasdt0( Y, Z ) ) }.
% 27.63/28.09 (42774) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 27.63/28.09 = X }.
% 27.63/28.09 (42775) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 27.63/28.09 X ) }.
% 27.63/28.09 (42776) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 27.63/28.09 = sz00 }.
% 27.63/28.09 (42777) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 27.63/28.09 sz00, X ) }.
% 27.63/28.09 (42778) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 27.63/28.09 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 27.63/28.09 (42779) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 27.63/28.09 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.63/28.09 (42780) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 27.63/28.09 }.
% 27.63/28.09 (42781) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 27.63/28.09 }.
% 27.63/28.09 (42782) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 27.63/28.09 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 27.63/28.09 sdtasdt0( X, Z ), Y = Z }.
% 27.63/28.09 (42783) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 27.63/28.09 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 27.63/28.09 sdtasdt0( Z, X ), Y = Z }.
% 27.63/28.09 (42784) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 27.63/28.09 (42785) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 27.63/28.09 (42786) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 27.63/28.09 (42787) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 27.63/28.09 (42788) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 27.63/28.09 (42789) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 27.63/28.09 }.
% 27.63/28.09 (42790) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 27.63/28.09 }.
% 27.63/28.09 (42791) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 27.63/28.09 }.
% 27.63/28.09 (42792) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 27.63/28.09 , Z = sdtmndt0( Y, X ) }.
% 27.63/28.09 (42793) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 27.63/28.09 }.
% 27.63/28.09 (42794) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 27.63/28.09 (42795) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 27.63/28.09 sdtlseqdt0( X, Z ) }.
% 27.63/28.09 (42796) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 27.63/28.09 (42797) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 27.63/28.09 (42798) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 27.63/28.09 ) }.
% 27.63/28.09 (42799) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 27.63/28.09 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 27.63/28.09 (42800) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 27.63/28.09 sdtpldt0( Z, Y ) }.
% 27.63/28.09 (42801) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 27.63/28.09 Z, X ), sdtpldt0( Z, Y ) ) }.
% 27.63/28.09 (42802) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 27.63/28.09 sdtpldt0( Y, Z ) }.
% 27.63/28.09 (42803) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 27.63/28.09 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 27.63/28.09 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 27.63/28.09 (42804) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 27.63/28.09 alpha6( X, Y, Z ) }.
% 27.63/28.09 (42805) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 27.63/28.09 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.63/28.09 (42806) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 27.63/28.09 sdtasdt0( X, Z ) }.
% 27.63/28.09 (42807) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 27.63/28.09 X, Y ), sdtasdt0( X, Z ) ) }.
% 27.63/28.09 (42808) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 27.63/28.09 sdtasdt0( Z, X ) }.
% 27.63/28.09 (42809) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 27.63/28.09 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 27.63/28.09 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 27.63/28.09 (42810) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.63/28.09 , ! sz10 = X }.
% 27.63/28.09 (42811) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.63/28.09 , sdtlseqdt0( sz10, X ) }.
% 27.63/28.09 (42812) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 27.63/28.09 (42813) {G0,W1,D1,L1,V0,M1} { && }.
% 27.63/28.09 (42814) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 27.63/28.09 (42815) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 27.63/28.09 (42816) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 27.63/28.09 (42817) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 27.63/28.09 }.
% 27.63/28.09 (42818) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 27.63/28.09 aNaturalNumber0( Z ) }.
% 27.63/28.09 (42819) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 27.63/28.09 ( X, Z ) }.
% 27.63/28.09 (42820) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 27.63/28.09 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 27.63/28.09 (42821) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 27.63/28.09 doDivides0( X, Z ) }.
% 27.63/28.09 (42822) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 27.63/28.09 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 27.63/28.09 (42823) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 27.63/28.09 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 27.63/28.09 (42824) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 27.63/28.09 (42825) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 27.63/28.09 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 27.63/28.09 (42826) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 27.63/28.09 = sz00 }.
% 27.63/28.09 (42827) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 27.63/28.09 alpha1( X ) }.
% 27.63/28.09 (42828) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 27.63/28.09 X ), isPrime0( X ) }.
% 27.63/28.09 (42829) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 27.63/28.09 (42830) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 27.63/28.09 (42831) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 27.63/28.09 (42832) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 27.63/28.09 Y ) }.
% 27.63/28.09 (42833) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 27.63/28.09 (42834) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 27.63/28.09 (42835) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 27.63/28.09 (42836) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 27.63/28.09 (42837) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 27.63/28.09 (42838) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 27.63/28.09 (42839) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 27.63/28.09 (42840) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 27.63/28.09 , alpha3( X, Y ) }.
% 27.63/28.09 (42841) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.63/28.09 , aNaturalNumber0( skol4( Y ) ) }.
% 27.63/28.09 (42842) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.63/28.09 , isPrime0( skol4( Y ) ) }.
% 27.63/28.09 (42843) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.63/28.09 , doDivides0( skol4( X ), X ) }.
% 27.63/28.09 (42844) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 27.63/28.09 (42845) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 27.63/28.09 (42846) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 27.63/28.09 (42847) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.63/28.09 Y ), ! aNaturalNumber0( Z ), ! isPrime0( Z ), ! doDivides0( Z, sdtasdt0(
% 27.72/28.10 X, Y ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0(
% 27.72/28.10 xn, xm ), xp ) ), doDivides0( Z, X ), doDivides0( Z, Y ) }.
% 27.72/28.10 (42848) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 27.72/28.10 (42849) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 27.72/28.10 (42850) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xn ) }.
% 27.72/28.10 (42851) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xn, xp ) }.
% 27.72/28.10 (42852) {G0,W3,D2,L1,V0,M1} { ! xr = xn }.
% 27.72/28.10 (42853) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xr, xn ) }.
% 27.72/28.10 (42854) {G0,W5,D3,L1,V0,M1} { xn = sdtpldt0( xp, xr ) }.
% 27.72/28.10 (42855) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtpldt0( sdtasdt0( xp
% 27.72/28.10 , xm ), sdtasdt0( xr, xm ) ) }.
% 27.72/28.10 (42856) {G0,W11,D4,L1,V0,M1} { ! sdtasdt0( xr, xm ) = sdtmndt0( sdtasdt0(
% 27.72/28.10 xn, xm ), sdtasdt0( xp, xm ) ) }.
% 27.72/28.10
% 27.72/28.10
% 27.72/28.10 Total Proof:
% 27.72/28.10
% 27.72/28.10 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.72/28.10 parent0: (42766) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 X := X
% 27.72/28.10 Y := Y
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 1 ==> 1
% 27.72/28.10 2 ==> 2
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.72/28.10 parent0: (42767) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 X := X
% 27.72/28.10 Y := Y
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 1 ==> 1
% 27.72/28.10 2 ==> 2
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 subsumption: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 27.72/28.10 sdtlseqdt0( X, Y ) }.
% 27.72/28.10 parent0: (42789) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 27.72/28.10 sdtlseqdt0( X, Y ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 X := X
% 27.72/28.10 Y := Y
% 27.72/28.10 Z := Z
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 1 ==> 1
% 27.72/28.10 2 ==> 2
% 27.72/28.10 3 ==> 3
% 27.72/28.10 4 ==> 4
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 subsumption: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 27.72/28.10 aNaturalNumber0( Z ) }.
% 27.72/28.10 parent0: (42790) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 27.72/28.10 aNaturalNumber0( Z ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 X := X
% 27.72/28.10 Y := Y
% 27.72/28.10 Z := Z
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 1 ==> 1
% 27.72/28.10 2 ==> 2
% 27.72/28.10 3 ==> 3
% 27.72/28.10 4 ==> 4
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 subsumption: (30) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 27.72/28.10 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 27.72/28.10 parent0: (42792) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 27.72/28.10 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), !
% 27.72/28.10 sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 X := X
% 27.72/28.10 Y := Y
% 27.72/28.10 Z := Z
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 1 ==> 1
% 27.72/28.10 2 ==> 2
% 27.72/28.10 3 ==> 3
% 27.72/28.10 4 ==> 4
% 27.72/28.10 5 ==> 5
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 subsumption: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.72/28.10 parent0: (42844) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.72/28.10 parent0: (42845) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 27.72/28.10 parent0: (42846) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 subsumption: (87) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xn ) }.
% 27.72/28.10 parent0: (42850) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xn ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 eqswap: (45471) {G0,W5,D3,L1,V0,M1} { sdtmndt0( xn, xp ) = xr }.
% 27.72/28.10 parent0[0]: (42851) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xn, xp ) }.
% 27.72/28.10 substitution0:
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 subsumption: (88) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xn, xp ) ==> xr }.
% 27.72/28.10 parent0: (45471) {G0,W5,D3,L1,V0,M1} { sdtmndt0( xn, xp ) = xr }.
% 27.72/28.10 substitution0:
% 27.72/28.10 end
% 27.72/28.10 permutation0:
% 27.72/28.10 0 ==> 0
% 27.72/28.10 end
% 27.72/28.10
% 27.72/28.10 eqswap: (45901) {G0,W11,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xp, xm ),
% 27.72/28.10 sdtasdt0( xr, xm ) ) = sdtasdt0( xn, xm ) }.
% 27.72/28.11 parent0[0]: (42855) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtpldt0(
% 27.72/28.11 sdtasdt0( xp, xm ), sdtasdt0( xr, xm ) ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 subsumption: (92) {G0,W11,D4,L1,V0,M1} I { sdtpldt0( sdtasdt0( xp, xm ),
% 27.72/28.11 sdtasdt0( xr, xm ) ) ==> sdtasdt0( xn, xm ) }.
% 27.72/28.11 parent0: (45901) {G0,W11,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xp, xm ),
% 27.72/28.11 sdtasdt0( xr, xm ) ) = sdtasdt0( xn, xm ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 end
% 27.72/28.11 permutation0:
% 27.72/28.11 0 ==> 0
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 eqswap: (46332) {G0,W11,D4,L1,V0,M1} { ! sdtmndt0( sdtasdt0( xn, xm ),
% 27.72/28.11 sdtasdt0( xp, xm ) ) = sdtasdt0( xr, xm ) }.
% 27.72/28.11 parent0[0]: (42856) {G0,W11,D4,L1,V0,M1} { ! sdtasdt0( xr, xm ) = sdtmndt0
% 27.72/28.11 ( sdtasdt0( xn, xm ), sdtasdt0( xp, xm ) ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 subsumption: (93) {G0,W11,D4,L1,V0,M1} I { ! sdtmndt0( sdtasdt0( xn, xm ),
% 27.72/28.11 sdtasdt0( xp, xm ) ) ==> sdtasdt0( xr, xm ) }.
% 27.72/28.11 parent0: (46332) {G0,W11,D4,L1,V0,M1} { ! sdtmndt0( sdtasdt0( xn, xm ),
% 27.72/28.11 sdtasdt0( xp, xm ) ) = sdtasdt0( xr, xm ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 end
% 27.72/28.11 permutation0:
% 27.72/28.11 0 ==> 0
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 eqswap: (46333) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 27.72/28.11 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 27.72/28.11 sdtlseqdt0( X, Z ) }.
% 27.72/28.11 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 27.72/28.11 sdtlseqdt0( X, Y ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 X := X
% 27.72/28.11 Y := Z
% 27.72/28.11 Z := Y
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 eqrefl: (46334) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 27.72/28.11 X, sdtpldt0( X, Y ) ) }.
% 27.72/28.11 parent0[0]: (46333) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 27.72/28.11 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 27.72/28.11 sdtlseqdt0( X, Z ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 X := X
% 27.72/28.11 Y := Y
% 27.72/28.11 Z := sdtpldt0( X, Y )
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 resolution: (46339) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 27.72/28.11 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 27.72/28.11 parent0[1]: (46334) {G0,W13,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( sdtpldt0( X, Y ) ), ! aNaturalNumber0( Y ), sdtlseqdt0(
% 27.72/28.11 X, sdtpldt0( X, Y ) ) }.
% 27.72/28.11 parent1[2]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 X := X
% 27.72/28.11 Y := Y
% 27.72/28.11 end
% 27.72/28.11 substitution1:
% 27.72/28.11 X := X
% 27.72/28.11 Y := Y
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 factor: (46341) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 27.72/28.11 aNaturalNumber0( Y ) }.
% 27.72/28.11 parent0[0, 3]: (46339) {G1,W13,D3,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 27.72/28.11 aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 X := X
% 27.72/28.11 Y := Y
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 factor: (46343) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 27.72/28.11 parent0[1, 3]: (46341) {G1,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ), !
% 27.72/28.11 aNaturalNumber0( Y ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 X := X
% 27.72/28.11 Y := Y
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 subsumption: (129) {G1,W9,D3,L3,V2,M3} Q(27);r(4) { ! aNaturalNumber0( X )
% 27.72/28.11 , ! aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 27.72/28.11 parent0: (46343) {G1,W9,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( Y ), sdtlseqdt0( X, sdtpldt0( X, Y ) ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 X := X
% 27.72/28.11 Y := Y
% 27.72/28.11 end
% 27.72/28.11 permutation0:
% 27.72/28.11 0 ==> 0
% 27.72/28.11 1 ==> 1
% 27.72/28.11 2 ==> 2
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 resolution: (46346) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 27.72/28.11 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 27.72/28.11 parent0[1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.72/28.11 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.72/28.11 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 X := X
% 27.72/28.11 Y := xm
% 27.72/28.11 end
% 27.72/28.11 substitution1:
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 subsumption: (256) {G1,W6,D3,L2,V1,M2} R(5,82) { ! aNaturalNumber0( X ),
% 27.72/28.11 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 27.72/28.11 parent0: (46346) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 27.72/28.11 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 27.72/28.11 substitution0:
% 27.72/28.11 X := X
% 27.72/28.11 end
% 27.72/28.11 permutation0:
% 27.72/28.11 0 ==> 0
% 27.72/28.11 1 ==> 1
% 27.72/28.11 end
% 27.72/28.11
% 27.72/28.11 eqswap: (46347) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 27.72/28.20 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 27.72/28.20 aNaturalNumber0( X ) }.
% 27.72/28.20 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 27.72/28.20 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 27.72/28.20 aNaturalNumber0( Z ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 X := Z
% 27.72/28.20 Y := Y
% 27.72/28.20 Z := X
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 resolution: (46349) {G1,W11,D3,L4,V1,M4} { ! sdtmndt0( xn, xp ) = X, !
% 27.72/28.20 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 27.72/28.20 parent0[3]: (46347) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 27.72/28.20 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 27.72/28.20 aNaturalNumber0( X ) }.
% 27.72/28.20 parent1[0]: (87) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xn ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 X := X
% 27.72/28.20 Y := xn
% 27.72/28.20 Z := xp
% 27.72/28.20 end
% 27.72/28.20 substitution1:
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 paramod: (46350) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp ),
% 27.72/28.20 ! aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 27.72/28.20 parent0[0]: (88) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xn, xp ) ==> xr }.
% 27.72/28.20 parent1[0; 2]: (46349) {G1,W11,D3,L4,V1,M4} { ! sdtmndt0( xn, xp ) = X, !
% 27.72/28.20 aNaturalNumber0( xp ), ! aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 end
% 27.72/28.20 substitution1:
% 27.72/28.20 X := X
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 resolution: (46351) {G1,W7,D2,L3,V1,M3} { ! xr = X, ! aNaturalNumber0( xn
% 27.72/28.20 ), aNaturalNumber0( X ) }.
% 27.72/28.20 parent0[1]: (46350) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp
% 27.72/28.20 ), ! aNaturalNumber0( xn ), aNaturalNumber0( X ) }.
% 27.72/28.20 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 X := X
% 27.72/28.20 end
% 27.72/28.20 substitution1:
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 eqswap: (46352) {G1,W7,D2,L3,V1,M3} { ! X = xr, ! aNaturalNumber0( xn ),
% 27.72/28.20 aNaturalNumber0( X ) }.
% 27.72/28.20 parent0[0]: (46351) {G1,W7,D2,L3,V1,M3} { ! xr = X, ! aNaturalNumber0( xn
% 27.72/28.20 ), aNaturalNumber0( X ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 X := X
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 subsumption: (1827) {G1,W7,D2,L3,V1,M3} R(28,87);d(88);r(83) { !
% 27.72/28.20 aNaturalNumber0( xn ), aNaturalNumber0( X ), ! X = xr }.
% 27.72/28.20 parent0: (46352) {G1,W7,D2,L3,V1,M3} { ! X = xr, ! aNaturalNumber0( xn ),
% 27.72/28.20 aNaturalNumber0( X ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 X := X
% 27.72/28.20 end
% 27.72/28.20 permutation0:
% 27.72/28.20 0 ==> 2
% 27.72/28.20 1 ==> 0
% 27.72/28.20 2 ==> 1
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 eqswap: (46353) {G1,W7,D2,L3,V1,M3} { ! xr = X, ! aNaturalNumber0( xn ),
% 27.72/28.20 aNaturalNumber0( X ) }.
% 27.72/28.20 parent0[2]: (1827) {G1,W7,D2,L3,V1,M3} R(28,87);d(88);r(83) { !
% 27.72/28.20 aNaturalNumber0( xn ), aNaturalNumber0( X ), ! X = xr }.
% 27.72/28.20 substitution0:
% 27.72/28.20 X := X
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 eqrefl: (46354) {G0,W4,D2,L2,V0,M2} { ! aNaturalNumber0( xn ),
% 27.72/28.20 aNaturalNumber0( xr ) }.
% 27.72/28.20 parent0[0]: (46353) {G1,W7,D2,L3,V1,M3} { ! xr = X, ! aNaturalNumber0( xn
% 27.72/28.20 ), aNaturalNumber0( X ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 X := xr
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 resolution: (46355) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 27.72/28.20 parent0[0]: (46354) {G0,W4,D2,L2,V0,M2} { ! aNaturalNumber0( xn ),
% 27.72/28.20 aNaturalNumber0( xr ) }.
% 27.72/28.20 parent1[0]: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 end
% 27.72/28.20 substitution1:
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 subsumption: (1858) {G2,W2,D2,L1,V0,M1} Q(1827);r(81) { aNaturalNumber0( xr
% 27.72/28.20 ) }.
% 27.72/28.20 parent0: (46355) {G1,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 end
% 27.72/28.20 permutation0:
% 27.72/28.20 0 ==> 0
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 paramod: (46357) {G1,W12,D3,L3,V0,M3} { aNaturalNumber0( sdtasdt0( xn, xm
% 27.72/28.20 ) ), ! aNaturalNumber0( sdtasdt0( xp, xm ) ), ! aNaturalNumber0(
% 27.72/28.20 sdtasdt0( xr, xm ) ) }.
% 27.72/28.20 parent0[0]: (92) {G0,W11,D4,L1,V0,M1} I { sdtpldt0( sdtasdt0( xp, xm ),
% 27.72/28.20 sdtasdt0( xr, xm ) ) ==> sdtasdt0( xn, xm ) }.
% 27.72/28.20 parent1[2; 1]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.72/28.20 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 end
% 27.72/28.20 substitution1:
% 27.72/28.20 X := sdtasdt0( xp, xm )
% 27.72/28.20 Y := sdtasdt0( xr, xm )
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 subsumption: (12822) {G1,W12,D3,L3,V0,M3} P(92,4) { ! aNaturalNumber0(
% 27.72/28.20 sdtasdt0( xp, xm ) ), ! aNaturalNumber0( sdtasdt0( xr, xm ) ),
% 27.72/28.20 aNaturalNumber0( sdtasdt0( xn, xm ) ) }.
% 27.72/28.20 parent0: (46357) {G1,W12,D3,L3,V0,M3} { aNaturalNumber0( sdtasdt0( xn, xm
% 27.72/28.20 ) ), ! aNaturalNumber0( sdtasdt0( xp, xm ) ), ! aNaturalNumber0(
% 27.72/28.20 sdtasdt0( xr, xm ) ) }.
% 27.72/28.20 substitution0:
% 27.72/28.20 end
% 27.72/28.20 permutation0:
% 27.72/28.20 0 ==> 2
% 27.72/28.20 1 ==> 0
% 27.72/28.20 2 ==> 1
% 27.72/28.20 end
% 27.72/28.20
% 27.72/28.20 *** allocated 15000 integers for justifications
% 27.72/28.20 *** allocated 22500 integers for justifications
% 27.72/28.20 *** allocated 3Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------