TSTP Solution File: RNG052+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG052+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 20:16:13 EDT 2022
% Result : Theorem 5.18s 5.57s
% Output : Refutation 5.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG052+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Mon May 30 06:57:24 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11
% 0.72/1.11 { && }.
% 0.72/1.11 { aNaturalNumber0( sz00 ) }.
% 0.72/1.11 { ! aNaturalNumber0( X ), aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.72/1.11 { ! aNaturalNumber0( X ), ! szszuzczcdt0( X ) = sz00 }.
% 0.72/1.11 { ! aNaturalNumber0( X ), X = sz00, aNaturalNumber0( skol1( Y ) ) }.
% 0.72/1.11 { ! aNaturalNumber0( X ), X = sz00, X = szszuzczcdt0( skol1( X ) ) }.
% 0.72/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! szszuzczcdt0( X ) =
% 0.72/1.11 szszuzczcdt0( Y ), X = Y }.
% 0.72/1.11 { && }.
% 0.72/1.11 { ! aNaturalNumber0( X ), iLess0( X, szszuzczcdt0( X ) ) }.
% 0.72/1.11 { && }.
% 0.72/1.11 { aScalar0( sz0z00 ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtpldt0( X, Y ) ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtasdt0( X, Y ) ) }.
% 0.72/1.11 { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 0.72/1.11 { ! aScalar0( X ), alpha3( X ) }.
% 0.72/1.11 { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00 }.
% 0.72/1.11 { ! alpha3( X ), alpha5( X ) }.
% 0.72/1.11 { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 0.72/1.11 { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X, alpha3( X ) }.
% 0.72/1.11 { ! alpha5( X ), alpha6( X ) }.
% 0.72/1.11 { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) = sz0z00 }.
% 0.72/1.11 { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X ) = sz0z00, alpha5( X ) }.
% 0.72/1.11 { ! alpha6( X ), alpha7( X ) }.
% 0.72/1.11 { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) = sz0z00 }.
% 0.72/1.11 { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) ) = sz0z00, alpha6( X ) }.
% 0.72/1.11 { ! alpha7( X ), alpha8( X ) }.
% 0.72/1.11 { ! alpha7( X ), sdtasdt0( sz0z00, X ) = sz0z00 }.
% 0.72/1.11 { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) = sz0z00, alpha7( X ) }.
% 0.72/1.11 { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 0.72/1.11 { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 0.72/1.11 { ! alpha8( X ), sdtasdt0( X, sz0z00 ) = sz0z00 }.
% 0.72/1.11 { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0( sz0z00, X ) = X, ! sdtasdt0( X,
% 0.72/1.11 sz0z00 ) = sz0z00, alpha8( X ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), alpha4( X, Y, Z ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, Y ) =
% 0.72/1.11 sdtasdt0( Y, X ) }.
% 0.72/1.11 { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X,
% 0.72/1.11 sdtpldt0( Y, Z ) ) }.
% 0.72/1.11 { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.72/1.11 { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X,
% 0.72/1.11 sdtasdt0( Y, Z ) ) }.
% 0.72/1.11 { ! sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ), !
% 0.72/1.11 sdtpldt0( X, Y ) = sdtpldt0( Y, X ), ! sdtasdt0( sdtasdt0( X, Y ), Z ) =
% 0.72/1.11 sdtasdt0( X, sdtasdt0( Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, sdtpldt0
% 0.72/1.11 ( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( sdtpldt0( X
% 0.72/1.11 , Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ),
% 0.72/1.11 sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z, T ) ) = sdtpldt0( sdtpldt0(
% 0.72/1.11 sdtasdt0( X, Z ), sdtasdt0( X, T ) ), sdtpldt0( sdtasdt0( Y, Z ),
% 0.72/1.11 sdtasdt0( Y, T ) ) ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( X, smndt0( Y ) ) = smndt0(
% 0.72/1.11 sdtasdt0( X, Y ) ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), Y ) = smndt0(
% 0.72/1.11 sdtasdt0( X, Y ) ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), smndt0( Y ) ) =
% 0.72/1.11 sdtasdt0( X, Y ) }.
% 0.72/1.11 { && }.
% 0.72/1.11 { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y,
% 0.72/1.11 X ), X = Y }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! sdtlseqdt0( X, Y ),
% 0.72/1.11 ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.72/1.11 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtpldt0( X, Z ),
% 0.72/1.11 sdtpldt0( Y, T ) ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.72/1.11 sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ), ! sdtlseqdt0( Z, T ),
% 0.72/1.11 sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) ) }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X )
% 0.72/1.11 }.
% 0.72/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.72/1.11 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtpldt0( X, Y ) ) }.
% 2.00/2.37 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 2.00/2.37 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtasdt0( X, Y ) ) }.
% 2.00/2.37 { ! aScalar0( X ), sdtlseqdt0( sz0z00, sdtasdt0( X, X ) ) }.
% 2.00/2.37 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 2.00/2.37 ( sz0z00, Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, Y ), X = Y }.
% 2.00/2.37 { && }.
% 2.00/2.37 { ! aVector0( X ), aNaturalNumber0( aDimensionOf0( X ) ) }.
% 2.00/2.37 { ! aVector0( X ), ! aNaturalNumber0( Y ), aScalar0( sdtlbdtrb0( X, Y ) ) }
% 2.00/2.37 .
% 2.00/2.37 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 2.00/2.37 aVector0( Y ) }.
% 2.00/2.37 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 2.00/2.37 alpha1( X, Y ) }.
% 2.00/2.37 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! aVector0( Y ), ! alpha1( X
% 2.00/2.37 , Y ), Y = sziznziztdt0( X ) }.
% 2.00/2.37 { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X )
% 2.00/2.37 }.
% 2.00/2.37 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 2.00/2.37 { ! szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X ), ! alpha2( X, Y
% 2.00/2.37 ), alpha1( X, Y ) }.
% 2.00/2.37 { ! alpha2( X, Y ), ! aNaturalNumber0( Z ), sdtlbdtrb0( Y, Z ) = sdtlbdtrb0
% 2.00/2.37 ( X, Z ) }.
% 2.00/2.37 { aNaturalNumber0( skol2( Z, T ) ), alpha2( X, Y ) }.
% 2.00/2.37 { ! sdtlbdtrb0( Y, skol2( X, Y ) ) = sdtlbdtrb0( X, skol2( X, Y ) ), alpha2
% 2.00/2.37 ( X, Y ) }.
% 2.00/2.37 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 2.00/2.37 ), aDimensionOf0( Y ) = sz00, aDimensionOf0( sziznziztdt0( X ) ) =
% 2.00/2.37 aDimensionOf0( sziznziztdt0( Y ) ) }.
% 2.00/2.37 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 2.00/2.37 ), aScalar0( sdtasasdt0( X, Y ) ) }.
% 2.00/2.37 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 2.00/2.37 ), ! aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sz0z00 }.
% 2.00/2.37 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 2.00/2.37 ), aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0
% 2.00/2.37 ( sziznziztdt0( X ), sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X,
% 2.00/2.37 aDimensionOf0( X ) ), sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 2.00/2.37 { ! aVector0( X ), sdtlseqdt0( sz0z00, sdtasasdt0( X, X ) ) }.
% 2.00/2.37 { aVector0( xs ) }.
% 2.00/2.37 { aVector0( xt ) }.
% 2.00/2.37 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 2.00/2.37 ), ! iLess0( aDimensionOf0( X ), aDimensionOf0( xs ) ), sdtlseqdt0(
% 2.00/2.37 sdtasdt0( sdtasasdt0( X, Y ), sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0
% 2.00/2.37 ( X, X ), sdtasasdt0( Y, Y ) ) ) }.
% 2.00/2.37 { aDimensionOf0( xs ) = aDimensionOf0( xt ) }.
% 2.00/2.37 { ! aDimensionOf0( xs ) = sz00 }.
% 2.00/2.37 { aVector0( xp ) }.
% 2.00/2.37 { xp = sziznziztdt0( xs ) }.
% 2.00/2.37 { aVector0( xq ) }.
% 2.00/2.37 { xq = sziznziztdt0( xt ) }.
% 2.00/2.37 { aScalar0( xA ) }.
% 2.00/2.37 { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) ) }.
% 2.00/2.37 { aScalar0( xB ) }.
% 2.00/2.37 { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) ) }.
% 2.00/2.37 { aScalar0( xC ) }.
% 2.00/2.37 { xC = sdtasasdt0( xp, xp ) }.
% 2.00/2.37 { aScalar0( xD ) }.
% 2.00/2.37 { xD = sdtasasdt0( xq, xq ) }.
% 2.00/2.37 { aScalar0( xE ) }.
% 2.00/2.37 { xE = sdtasasdt0( xp, xq ) }.
% 2.00/2.37 { aScalar0( xF ) }.
% 2.00/2.37 { xF = sdtasdt0( xA, xA ) }.
% 2.00/2.37 { aScalar0( xG ) }.
% 2.00/2.37 { xG = sdtasdt0( xB, xB ) }.
% 2.00/2.37 { aScalar0( xH ) }.
% 2.00/2.37 { xH = sdtasdt0( xA, xB ) }.
% 2.00/2.37 { aScalar0( xR ) }.
% 2.00/2.37 { xR = sdtasdt0( xC, xG ) }.
% 2.00/2.37 { aScalar0( xP ) }.
% 2.00/2.37 { xP = sdtasdt0( xE, xH ) }.
% 2.00/2.37 { aScalar0( xS ) }.
% 2.00/2.37 { xS = sdtasdt0( xF, xD ) }.
% 2.00/2.37 { aScalar0( xN ) }.
% 2.00/2.37 { xN = sdtasdt0( xR, xS ) }.
% 2.00/2.37 { ! sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD ) ) }.
% 2.00/2.37
% 2.00/2.37 percentage equality = 0.296000, percentage horn = 0.911765
% 2.00/2.37 This is a problem with some equality
% 2.00/2.37
% 2.00/2.37
% 2.00/2.37
% 2.00/2.37 Options Used:
% 2.00/2.37
% 2.00/2.37 useres = 1
% 2.00/2.37 useparamod = 1
% 2.00/2.37 useeqrefl = 1
% 2.00/2.37 useeqfact = 1
% 2.00/2.37 usefactor = 1
% 2.00/2.37 usesimpsplitting = 0
% 2.00/2.37 usesimpdemod = 5
% 2.00/2.37 usesimpres = 3
% 2.00/2.37
% 2.00/2.37 resimpinuse = 1000
% 2.00/2.37 resimpclauses = 20000
% 2.00/2.37 substype = eqrewr
% 2.00/2.37 backwardsubs = 1
% 2.00/2.37 selectoldest = 5
% 2.00/2.37
% 2.00/2.37 litorderings [0] = split
% 2.00/2.37 litorderings [1] = extend the termordering, first sorting on arguments
% 2.00/2.37
% 2.00/2.37 termordering = kbo
% 2.00/2.37
% 2.00/2.37 litapriori = 0
% 2.00/2.37 termapriori = 1
% 2.00/2.37 litaposteriori = 0
% 2.00/2.37 termaposteriori = 0
% 2.00/2.37 demodaposteriori = 0
% 2.00/2.37 ordereqreflfact = 0
% 2.00/2.37
% 2.00/2.37 litselect = negord
% 2.00/2.37
% 2.00/2.37 maxweight = 15
% 2.00/2.37 maxdepth = 30000
% 2.00/2.37 maxlength = 115
% 2.00/2.37 maxnrvars = 195
% 2.00/2.37 excuselevel = 1
% 2.00/2.37 increasemaxweight = 1
% 2.00/2.37
% 2.00/2.37 maxselected = 10000000
% 2.00/2.37 maxnrclauses = 10000000
% 5.18/5.57
% 5.18/5.57 showgenerated = 0
% 5.18/5.57 showkept = 0
% 5.18/5.57 showselected = 0
% 5.18/5.57 showdeleted = 0
% 5.18/5.57 showresimp = 1
% 5.18/5.57 showstatus = 2000
% 5.18/5.57
% 5.18/5.57 prologoutput = 0
% 5.18/5.57 nrgoals = 5000000
% 5.18/5.57 totalproof = 1
% 5.18/5.57
% 5.18/5.57 Symbols occurring in the translation:
% 5.18/5.57
% 5.18/5.57 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.18/5.57 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 5.18/5.57 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 5.18/5.57 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 5.18/5.57 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.18/5.57 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.18/5.57 aNaturalNumber0 [36, 1] (w:1, o:33, a:1, s:1, b:0),
% 5.18/5.57 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 5.18/5.57 szszuzczcdt0 [38, 1] (w:1, o:34, a:1, s:1, b:0),
% 5.18/5.57 iLess0 [40, 2] (w:1, o:70, a:1, s:1, b:0),
% 5.18/5.57 aScalar0 [41, 1] (w:1, o:35, a:1, s:1, b:0),
% 5.18/5.57 sz0z00 [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 5.18/5.57 sdtpldt0 [43, 2] (w:1, o:71, a:1, s:1, b:0),
% 5.18/5.57 sdtasdt0 [44, 2] (w:1, o:72, a:1, s:1, b:0),
% 5.18/5.57 smndt0 [45, 1] (w:1, o:36, a:1, s:1, b:0),
% 5.18/5.57 sdtlseqdt0 [48, 2] (w:1, o:73, a:1, s:1, b:0),
% 5.18/5.57 aVector0 [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 5.18/5.57 aDimensionOf0 [50, 1] (w:1, o:38, a:1, s:1, b:0),
% 5.18/5.57 sdtlbdtrb0 [51, 2] (w:1, o:74, a:1, s:1, b:0),
% 5.18/5.57 sziznziztdt0 [52, 1] (w:1, o:39, a:1, s:1, b:0),
% 5.18/5.57 sdtasasdt0 [53, 2] (w:1, o:75, a:1, s:1, b:0),
% 5.18/5.57 xs [54, 0] (w:1, o:12, a:1, s:1, b:0),
% 5.18/5.57 xt [55, 0] (w:1, o:13, a:1, s:1, b:0),
% 5.18/5.57 xp [56, 0] (w:1, o:14, a:1, s:1, b:0),
% 5.18/5.57 xq [57, 0] (w:1, o:15, a:1, s:1, b:0),
% 5.18/5.57 xA [58, 0] (w:1, o:16, a:1, s:1, b:0),
% 5.18/5.57 xB [59, 0] (w:1, o:17, a:1, s:1, b:0),
% 5.18/5.57 xC [60, 0] (w:1, o:18, a:1, s:1, b:0),
% 5.18/5.57 xD [61, 0] (w:1, o:19, a:1, s:1, b:0),
% 5.18/5.57 xE [62, 0] (w:1, o:20, a:1, s:1, b:0),
% 5.18/5.57 xF [63, 0] (w:1, o:21, a:1, s:1, b:0),
% 5.18/5.57 xG [64, 0] (w:1, o:22, a:1, s:1, b:0),
% 5.18/5.57 xH [65, 0] (w:1, o:23, a:1, s:1, b:0),
% 5.18/5.57 xR [66, 0] (w:1, o:24, a:1, s:1, b:0),
% 5.18/5.57 xP [67, 0] (w:1, o:25, a:1, s:1, b:0),
% 5.18/5.57 xS [68, 0] (w:1, o:26, a:1, s:1, b:0),
% 5.18/5.57 xN [69, 0] (w:1, o:27, a:1, s:1, b:0),
% 5.18/5.57 alpha1 [70, 2] (w:1, o:76, a:1, s:1, b:1),
% 5.18/5.57 alpha2 [71, 2] (w:1, o:77, a:1, s:1, b:1),
% 5.18/5.57 alpha3 [72, 1] (w:1, o:40, a:1, s:1, b:1),
% 5.18/5.57 alpha4 [73, 3] (w:1, o:79, a:1, s:1, b:1),
% 5.18/5.57 alpha5 [74, 1] (w:1, o:41, a:1, s:1, b:1),
% 5.18/5.57 alpha6 [75, 1] (w:1, o:42, a:1, s:1, b:1),
% 5.18/5.57 alpha7 [76, 1] (w:1, o:43, a:1, s:1, b:1),
% 5.18/5.57 alpha8 [77, 1] (w:1, o:44, a:1, s:1, b:1),
% 5.18/5.57 skol1 [78, 1] (w:1, o:45, a:1, s:1, b:1),
% 5.18/5.57 skol2 [79, 2] (w:1, o:78, a:1, s:1, b:1).
% 5.18/5.57
% 5.18/5.57
% 5.18/5.57 Starting Search:
% 5.18/5.57
% 5.18/5.57 *** allocated 15000 integers for clauses
% 5.18/5.57 *** allocated 22500 integers for clauses
% 5.18/5.57 *** allocated 33750 integers for clauses
% 5.18/5.57 *** allocated 50625 integers for clauses
% 5.18/5.57 *** allocated 15000 integers for termspace/termends
% 5.18/5.57 *** allocated 75937 integers for clauses
% 5.18/5.57 *** allocated 22500 integers for termspace/termends
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 *** allocated 113905 integers for clauses
% 5.18/5.57 *** allocated 33750 integers for termspace/termends
% 5.18/5.57 *** allocated 170857 integers for clauses
% 5.18/5.57 *** allocated 50625 integers for termspace/termends
% 5.18/5.57
% 5.18/5.57 Intermediate Status:
% 5.18/5.57 Generated: 5878
% 5.18/5.57 Kept: 2079
% 5.18/5.57 Inuse: 199
% 5.18/5.57 Deleted: 4
% 5.18/5.57 Deletedinuse: 2
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 *** allocated 75937 integers for termspace/termends
% 5.18/5.57 *** allocated 256285 integers for clauses
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57
% 5.18/5.57 Intermediate Status:
% 5.18/5.57 Generated: 14583
% 5.18/5.57 Kept: 4080
% 5.18/5.57 Inuse: 355
% 5.18/5.57 Deleted: 8
% 5.18/5.57 Deletedinuse: 5
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 *** allocated 113905 integers for termspace/termends
% 5.18/5.57 *** allocated 384427 integers for clauses
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57
% 5.18/5.57 Intermediate Status:
% 5.18/5.57 Generated: 24714
% 5.18/5.57 Kept: 6103
% 5.18/5.57 Inuse: 546
% 5.18/5.57 Deleted: 19
% 5.18/5.57 Deletedinuse: 14
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 *** allocated 576640 integers for clauses
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 *** allocated 170857 integers for termspace/termends
% 5.18/5.57
% 5.18/5.57 Intermediate Status:
% 5.18/5.57 Generated: 39887
% 5.18/5.57 Kept: 8126
% 5.18/5.57 Inuse: 806
% 5.18/5.57 Deleted: 65
% 5.18/5.57 Deletedinuse: 25
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 *** allocated 864960 integers for clauses
% 5.18/5.57
% 5.18/5.57 Intermediate Status:
% 5.18/5.57 Generated: 52165
% 5.18/5.57 Kept: 10147
% 5.18/5.57 Inuse: 910
% 5.18/5.57 Deleted: 72
% 5.18/5.57 Deletedinuse: 26
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 *** allocated 256285 integers for termspace/termends
% 5.18/5.57
% 5.18/5.57 Intermediate Status:
% 5.18/5.57 Generated: 63429
% 5.18/5.57 Kept: 12621
% 5.18/5.57 Inuse: 1057
% 5.18/5.57 Deleted: 106
% 5.18/5.57 Deletedinuse: 52
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57
% 5.18/5.57 Intermediate Status:
% 5.18/5.57 Generated: 68428
% 5.18/5.57 Kept: 14750
% 5.18/5.57 Inuse: 1109
% 5.18/5.57 Deleted: 109
% 5.18/5.57 Deletedinuse: 52
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 *** allocated 1297440 integers for clauses
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57
% 5.18/5.57 Intermediate Status:
% 5.18/5.57 Generated: 73006
% 5.18/5.57 Kept: 16769
% 5.18/5.57 Inuse: 1144
% 5.18/5.57 Deleted: 109
% 5.18/5.57 Deletedinuse: 52
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57
% 5.18/5.57 Intermediate Status:
% 5.18/5.57 Generated: 77322
% 5.18/5.57 Kept: 18800
% 5.18/5.57 Inuse: 1175
% 5.18/5.57 Deleted: 109
% 5.18/5.57 Deletedinuse: 52
% 5.18/5.57
% 5.18/5.57 Resimplifying inuse:
% 5.18/5.57 Done
% 5.18/5.57
% 5.18/5.57 *** allocated 384427 integers for termspace/termends
% 5.18/5.57 Resimplifying clauses:
% 5.18/5.57
% 5.18/5.57 Bliksems!, er is een bewijs:
% 5.18/5.57 % SZS status Theorem
% 5.18/5.57 % SZS output start Refutation
% 5.18/5.57
% 5.18/5.57 (2) {G0,W5,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), aNaturalNumber0(
% 5.18/5.57 szszuzczcdt0( X ) ) }.
% 5.18/5.57 (6) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 5.18/5.57 , ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 5.18/5.57 (7) {G0,W6,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), iLess0( X, szszuzczcdt0
% 5.18/5.57 ( X ) ) }.
% 5.18/5.57 (52) {G0,W5,D3,L2,V1,M2} I { ! aVector0( X ), aNaturalNumber0(
% 5.18/5.57 aDimensionOf0( X ) ) }.
% 5.18/5.57 (55) {G0,W13,D3,L4,V2,M4} I { ! aVector0( X ), aDimensionOf0( X ) ==> sz00
% 5.18/5.57 , ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 5.18/5.57 (57) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0
% 5.18/5.57 ( Y ) ) = aDimensionOf0( X ) }.
% 5.18/5.57 (63) {G0,W20,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y ), !
% 5.18/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) ==> sz00,
% 5.18/5.57 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.18/5.57 }.
% 5.18/5.57 (68) {G0,W2,D2,L1,V0,M1} I { aVector0( xs ) }.
% 5.18/5.57 (69) {G0,W2,D2,L1,V0,M1} I { aVector0( xt ) }.
% 5.18/5.57 (70) {G0,W29,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y ), !
% 5.18/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X ),
% 5.18/5.57 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.18/5.57 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.18/5.57 ) }.
% 5.18/5.57 (71) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==> aDimensionOf0( xs )
% 5.18/5.57 }.
% 5.18/5.57 (72) {G0,W4,D3,L1,V0,M1} I { ! aDimensionOf0( xs ) ==> sz00 }.
% 5.18/5.57 (73) {G0,W2,D2,L1,V0,M1} I { aVector0( xp ) }.
% 5.18/5.57 (74) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xs ) ==> xp }.
% 5.18/5.57 (75) {G0,W2,D2,L1,V0,M1} I { aVector0( xq ) }.
% 5.18/5.57 (76) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xt ) ==> xq }.
% 5.18/5.57 (82) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xp ) ==> xC }.
% 5.18/5.57 (84) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xq, xq ) ==> xD }.
% 5.18/5.57 (86) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xq ) ==> xE }.
% 5.18/5.57 (101) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0(
% 5.18/5.57 xC, xD ) ) }.
% 5.18/5.57 (256) {G1,W13,D4,L4,V2,M4} P(6,7);r(2) { ! aNaturalNumber0( X ), iLess0( X
% 5.18/5.57 , Y ), ! aNaturalNumber0( Y ), ! szszuzczcdt0( szszuzczcdt0( X ) ) =
% 5.18/5.57 szszuzczcdt0( Y ) }.
% 5.18/5.57 (2599) {G1,W3,D3,L1,V0,M1} R(52,68) { aNaturalNumber0( aDimensionOf0( xs )
% 5.18/5.57 ) }.
% 5.18/5.57 (2600) {G1,W3,D3,L1,V0,M1} R(52,73) { aNaturalNumber0( aDimensionOf0( xp )
% 5.18/5.57 ) }.
% 5.18/5.57 (2763) {G1,W6,D2,L2,V1,M2} R(55,72);d(74);r(68) { alpha1( xs, X ), ! X = xp
% 5.18/5.57 }.
% 5.18/5.57 (2781) {G2,W3,D2,L1,V0,M1} Q(2763) { alpha1( xs, xp ) }.
% 5.18/5.57 (2955) {G3,W6,D4,L1,V0,M1} R(57,2781) { szszuzczcdt0( aDimensionOf0( xp ) )
% 5.18/5.57 ==> aDimensionOf0( xs ) }.
% 5.18/5.57 (3224) {G1,W13,D4,L3,V1,M3} R(63,72);d(74);r(68) { ! aVector0( X ), !
% 5.18/5.57 aDimensionOf0( X ) = aDimensionOf0( xs ), aDimensionOf0( sziznziztdt0( X
% 5.18/5.57 ) ) ==> aDimensionOf0( xp ) }.
% 5.18/5.57 (3230) {G2,W12,D3,L3,V1,M3} R(63,69);d(71);d(71);d(3224);d(76);r(72) { !
% 5.18/5.57 aVector0( X ), ! aDimensionOf0( X ) = aDimensionOf0( xs ), aDimensionOf0
% 5.18/5.57 ( xq ) ==> aDimensionOf0( xp ) }.
% 5.18/5.57 (3282) {G3,W5,D3,L1,V0,M1} Q(3230);r(68) { aDimensionOf0( xq ) ==>
% 5.18/5.57 aDimensionOf0( xp ) }.
% 5.18/5.57 (3934) {G4,W14,D3,L3,V0,M3} P(86,70);d(3282);d(82);d(84);q;r(73) { !
% 5.18/5.57 aVector0( xq ), ! iLess0( aDimensionOf0( xp ), aDimensionOf0( xs ) ),
% 5.18/5.57 sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD ) ) }.
% 5.18/5.57 (11846) {G4,W12,D4,L3,V1,M3} R(256,2600);d(2955) { iLess0( aDimensionOf0(
% 5.18/5.57 xp ), X ), ! aNaturalNumber0( X ), ! szszuzczcdt0( aDimensionOf0( xs ) )
% 5.18/5.57 = szszuzczcdt0( X ) }.
% 5.18/5.57 (11903) {G5,W5,D3,L1,V0,M1} Q(11846);r(2599) { iLess0( aDimensionOf0( xp )
% 5.18/5.57 , aDimensionOf0( xs ) ) }.
% 5.18/5.57 (20459) {G6,W0,D0,L0,V0,M0} S(3934);r(75);r(11903);r(101) { }.
% 5.18/5.57
% 5.18/5.57
% 5.18/5.57 % SZS output end Refutation
% 5.18/5.57 found a proof!
% 5.18/5.57
% 5.18/5.57
% 5.18/5.57 Unprocessed initial clauses:
% 5.18/5.57
% 5.18/5.57 (20461) {G0,W1,D1,L1,V0,M1} { && }.
% 5.18/5.57 (20462) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 5.18/5.57 (20463) {G0,W5,D3,L2,V1,M2} { ! aNaturalNumber0( X ), aNaturalNumber0(
% 5.18/5.57 szszuzczcdt0( X ) ) }.
% 5.18/5.57 (20464) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! szszuzczcdt0( X )
% 5.18/5.57 = sz00 }.
% 5.18/5.57 (20465) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), X = sz00,
% 5.18/5.57 aNaturalNumber0( skol1( Y ) ) }.
% 5.18/5.57 (20466) {G0,W10,D4,L3,V1,M3} { ! aNaturalNumber0( X ), X = sz00, X =
% 5.18/5.57 szszuzczcdt0( skol1( X ) ) }.
% 5.18/5.57 (20467) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 5.18/5.57 Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 5.18/5.57 (20468) {G0,W1,D1,L1,V0,M1} { && }.
% 5.18/5.57 (20469) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), iLess0( X,
% 5.18/5.57 szszuzczcdt0( X ) ) }.
% 5.18/5.57 (20470) {G0,W1,D1,L1,V0,M1} { && }.
% 5.18/5.57 (20471) {G0,W2,D2,L1,V0,M1} { aScalar0( sz0z00 ) }.
% 5.18/5.57 (20472) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.18/5.57 sdtpldt0( X, Y ) ) }.
% 5.18/5.57 (20473) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.18/5.57 sdtasdt0( X, Y ) ) }.
% 5.18/5.57 (20474) {G0,W5,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 5.18/5.57 (20475) {G0,W4,D2,L2,V1,M2} { ! aScalar0( X ), alpha3( X ) }.
% 5.18/5.57 (20476) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00
% 5.18/5.57 }.
% 5.18/5.57 (20477) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 5.18/5.57 (20478) {G0,W7,D4,L2,V1,M2} { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 5.18/5.57 (20479) {G0,W9,D4,L3,V1,M3} { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X,
% 5.18/5.57 alpha3( X ) }.
% 5.18/5.57 (20480) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha6( X ) }.
% 5.18/5.57 (20481) {G0,W8,D4,L2,V1,M2} { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) =
% 5.18/5.57 sz0z00 }.
% 5.18/5.57 (20482) {G0,W10,D4,L3,V1,M3} { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X )
% 5.18/5.57 = sz0z00, alpha5( X ) }.
% 5.18/5.57 (20483) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha7( X ) }.
% 5.18/5.57 (20484) {G0,W8,D4,L2,V1,M2} { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) =
% 5.18/5.57 sz0z00 }.
% 5.18/5.57 (20485) {G0,W10,D4,L3,V1,M3} { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) )
% 5.18/5.57 = sz0z00, alpha6( X ) }.
% 5.18/5.57 (20486) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha8( X ) }.
% 5.18/5.57 (20487) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), sdtasdt0( sz0z00, X ) =
% 5.18/5.57 sz0z00 }.
% 5.18/5.57 (20488) {G0,W9,D3,L3,V1,M3} { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) =
% 5.18/5.57 sz0z00, alpha7( X ) }.
% 5.18/5.57 (20489) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 5.18/5.57 (20490) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 5.18/5.57 (20491) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtasdt0( X, sz0z00 ) =
% 5.18/5.57 sz0z00 }.
% 5.18/5.57 (20492) {G0,W17,D3,L4,V1,M4} { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0(
% 5.18/5.57 sz0z00, X ) = X, ! sdtasdt0( X, sz0z00 ) = sz0z00, alpha8( X ) }.
% 5.18/5.57 (20493) {G0,W10,D2,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 aScalar0( Z ), alpha4( X, Y, Z ) }.
% 5.18/5.57 (20494) {G0,W13,D3,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 aScalar0( Z ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 5.18/5.57 (20495) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X
% 5.18/5.57 , Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 5.18/5.57 (20496) {G0,W11,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) =
% 5.18/5.57 sdtpldt0( Y, X ) }.
% 5.18/5.57 (20497) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X
% 5.18/5.57 , Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 5.18/5.57 (20498) {G0,W33,D4,L4,V3,M4} { ! sdtpldt0( sdtpldt0( X, Y ), Z ) =
% 5.18/5.57 sdtpldt0( X, sdtpldt0( Y, Z ) ), ! sdtpldt0( X, Y ) = sdtpldt0( Y, X ), !
% 5.18/5.57 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ),
% 5.18/5.57 alpha4( X, Y, Z ) }.
% 5.18/5.57 (20499) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 aScalar0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y
% 5.18/5.57 ), sdtasdt0( X, Z ) ) }.
% 5.18/5.57 (20500) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 aScalar0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z
% 5.18/5.57 ), sdtasdt0( Y, Z ) ) }.
% 5.18/5.57 (20501) {G0,W31,D5,L5,V4,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 aScalar0( Z ), ! aScalar0( T ), sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z,
% 5.18/5.57 T ) ) = sdtpldt0( sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( X, T ) ),
% 5.18/5.57 sdtpldt0( sdtasdt0( Y, Z ), sdtasdt0( Y, T ) ) ) }.
% 5.18/5.57 (20502) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.18/5.57 ( X, smndt0( Y ) ) = smndt0( sdtasdt0( X, Y ) ) }.
% 5.18/5.57 (20503) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.18/5.57 ( smndt0( X ), Y ) = smndt0( sdtasdt0( X, Y ) ) }.
% 5.18/5.57 (20504) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.18/5.57 ( smndt0( X ), smndt0( Y ) ) = sdtasdt0( X, Y ) }.
% 5.18/5.57 (20505) {G0,W1,D1,L1,V0,M1} { && }.
% 5.18/5.57 (20506) {G0,W5,D2,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 5.18/5.57 (20507) {G0,W13,D2,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 5.18/5.57 (20508) {G0,W15,D2,L6,V3,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 aScalar0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 5.18/5.57 , Z ) }.
% 5.18/5.57 (20509) {G0,W21,D3,L7,V4,M7} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T
% 5.18/5.57 ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, T ) ) }.
% 5.18/5.57 (20510) {G0,W24,D3,L8,V4,M8} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 5.18/5.57 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 5.18/5.57 ( Y, T ) ) }.
% 5.18/5.57 (20511) {G0,W10,D2,L4,V2,M4} { ! aScalar0( X ), ! aScalar0( Y ),
% 5.18/5.57 sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 5.18/5.57 (20512) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 5.18/5.57 sdtpldt0( X, Y ) ) }.
% 5.18/5.57 (20513) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 5.18/5.57 sdtasdt0( X, Y ) ) }.
% 5.18/5.57 (20514) {G0,W7,D3,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( sz0z00,
% 5.18/5.57 sdtasdt0( X, X ) ) }.
% 5.18/5.57 (20515) {G0,W20,D3,L6,V2,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.18/5.57 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), ! sdtasdt0( X, X ) =
% 5.18/5.57 sdtasdt0( Y, Y ), X = Y }.
% 5.18/5.57 (20516) {G0,W1,D1,L1,V0,M1} { && }.
% 5.18/5.57 (20517) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 5.18/5.57 aDimensionOf0( X ) ) }.
% 5.18/5.57 (20518) {G0,W8,D3,L3,V2,M3} { ! aVector0( X ), ! aNaturalNumber0( Y ),
% 5.18/5.57 aScalar0( sdtlbdtrb0( X, Y ) ) }.
% 5.18/5.57 (20519) {G0,W12,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.18/5.57 , ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 5.18/5.57 (20520) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.18/5.57 , ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 5.18/5.57 (20521) {G0,W15,D3,L5,V2,M5} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.18/5.57 , ! aVector0( Y ), ! alpha1( X, Y ), Y = sziznziztdt0( X ) }.
% 5.18/5.57 (20522) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), szszuzczcdt0(
% 5.18/5.57 aDimensionOf0( Y ) ) = aDimensionOf0( X ) }.
% 5.18/5.57 (20523) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 5.18/5.57 (20524) {G0,W12,D4,L3,V2,M3} { ! szszuzczcdt0( aDimensionOf0( Y ) ) =
% 5.18/5.57 aDimensionOf0( X ), ! alpha2( X, Y ), alpha1( X, Y ) }.
% 5.18/5.57 (20525) {G0,W12,D3,L3,V3,M3} { ! alpha2( X, Y ), ! aNaturalNumber0( Z ),
% 5.18/5.57 sdtlbdtrb0( Y, Z ) = sdtlbdtrb0( X, Z ) }.
% 5.18/5.57 (20526) {G0,W7,D3,L2,V4,M2} { aNaturalNumber0( skol2( Z, T ) ), alpha2( X
% 5.18/5.57 , Y ) }.
% 5.18/5.57 (20527) {G0,W14,D4,L2,V2,M2} { ! sdtlbdtrb0( Y, skol2( X, Y ) ) =
% 5.18/5.57 sdtlbdtrb0( X, skol2( X, Y ) ), alpha2( X, Y ) }.
% 5.18/5.57 (20528) {G0,W20,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.18/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.18/5.57 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.18/5.57 }.
% 5.18/5.57 (20529) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), ! aVector0( Y ), !
% 5.18/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), aScalar0( sdtasasdt0( X, Y ) )
% 5.18/5.57 }.
% 5.18/5.57 (20530) {G0,W18,D3,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.18/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), ! aDimensionOf0( Y ) = sz00,
% 5.18/5.57 sdtasasdt0( X, Y ) = sz0z00 }.
% 5.18/5.57 (20531) {G0,W32,D6,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.18/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.18/5.57 sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0( sziznziztdt0( X ),
% 5.18/5.57 sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X, aDimensionOf0( X ) ),
% 5.18/5.57 sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 5.18/5.57 (20532) {G0,W7,D3,L2,V1,M2} { ! aVector0( X ), sdtlseqdt0( sz0z00,
% 5.18/5.57 sdtasasdt0( X, X ) ) }.
% 5.18/5.57 (20533) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 5.18/5.57 (20534) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 5.18/5.57 (20535) {G0,W29,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.18/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X ),
% 5.18/5.57 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.18/5.57 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.18/5.57 ) }.
% 5.18/5.57 (20536) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) = aDimensionOf0( xt )
% 5.18/5.57 }.
% 5.18/5.57 (20537) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xs ) = sz00 }.
% 5.18/5.57 (20538) {G0,W2,D2,L1,V0,M1} { aVector0( xp ) }.
% 5.18/5.57 (20539) {G0,W4,D3,L1,V0,M1} { xp = sziznziztdt0( xs ) }.
% 5.18/5.57 (20540) {G0,W2,D2,L1,V0,M1} { aVector0( xq ) }.
% 5.18/5.57 (20541) {G0,W4,D3,L1,V0,M1} { xq = sziznziztdt0( xt ) }.
% 5.18/5.57 (20542) {G0,W2,D2,L1,V0,M1} { aScalar0( xA ) }.
% 5.18/5.57 (20543) {G0,W6,D4,L1,V0,M1} { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) )
% 5.18/5.57 }.
% 5.18/5.57 (20544) {G0,W2,D2,L1,V0,M1} { aScalar0( xB ) }.
% 5.18/5.57 (20545) {G0,W6,D4,L1,V0,M1} { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) )
% 5.18/5.57 }.
% 5.18/5.57 (20546) {G0,W2,D2,L1,V0,M1} { aScalar0( xC ) }.
% 5.18/5.57 (20547) {G0,W5,D3,L1,V0,M1} { xC = sdtasasdt0( xp, xp ) }.
% 5.18/5.57 (20548) {G0,W2,D2,L1,V0,M1} { aScalar0( xD ) }.
% 5.18/5.57 (20549) {G0,W5,D3,L1,V0,M1} { xD = sdtasasdt0( xq, xq ) }.
% 5.18/5.57 (20550) {G0,W2,D2,L1,V0,M1} { aScalar0( xE ) }.
% 5.18/5.57 (20551) {G0,W5,D3,L1,V0,M1} { xE = sdtasasdt0( xp, xq ) }.
% 5.18/5.57 (20552) {G0,W2,D2,L1,V0,M1} { aScalar0( xF ) }.
% 5.18/5.57 (20553) {G0,W5,D3,L1,V0,M1} { xF = sdtasdt0( xA, xA ) }.
% 5.18/5.57 (20554) {G0,W2,D2,L1,V0,M1} { aScalar0( xG ) }.
% 5.18/5.57 (20555) {G0,W5,D3,L1,V0,M1} { xG = sdtasdt0( xB, xB ) }.
% 5.18/5.57 (20556) {G0,W2,D2,L1,V0,M1} { aScalar0( xH ) }.
% 5.18/5.57 (20557) {G0,W5,D3,L1,V0,M1} { xH = sdtasdt0( xA, xB ) }.
% 5.18/5.57 (20558) {G0,W2,D2,L1,V0,M1} { aScalar0( xR ) }.
% 5.18/5.57 (20559) {G0,W5,D3,L1,V0,M1} { xR = sdtasdt0( xC, xG ) }.
% 5.18/5.57 (20560) {G0,W2,D2,L1,V0,M1} { aScalar0( xP ) }.
% 5.18/5.57 (20561) {G0,W5,D3,L1,V0,M1} { xP = sdtasdt0( xE, xH ) }.
% 5.18/5.57 (20562) {G0,W2,D2,L1,V0,M1} { aScalar0( xS ) }.
% 5.18/5.57 (20563) {G0,W5,D3,L1,V0,M1} { xS = sdtasdt0( xF, xD ) }.
% 5.18/5.57 (20564) {G0,W2,D2,L1,V0,M1} { aScalar0( xN ) }.
% 5.18/5.57 (20565) {G0,W5,D3,L1,V0,M1} { xN = sdtasdt0( xR, xS ) }.
% 5.18/5.57 (20566) {G0,W7,D3,L1,V0,M1} { ! sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0(
% 5.18/5.57 xC, xD ) ) }.
% 5.18/5.57
% 5.18/5.57
% 5.18/5.57 Total Proof:
% 5.18/5.57
% 5.18/5.57 subsumption: (2) {G0,W5,D3,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 5.18/5.57 aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 5.18/5.57 parent0: (20463) {G0,W5,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 5.18/5.57 aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 5.18/5.57 substitution0:
% 5.18/5.57 X := X
% 5.18/5.57 end
% 5.18/5.57 permutation0:
% 5.18/5.57 0 ==> 0
% 5.18/5.57 1 ==> 1
% 5.18/5.57 end
% 5.18/5.57
% 5.18/5.57 subsumption: (6) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 5.18/5.57 aNaturalNumber0( Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 5.18/5.57 parent0: (20467) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 5.18/5.57 aNaturalNumber0( Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 5.18/5.57 substitution0:
% 5.18/5.57 X := X
% 5.18/5.57 Y := Y
% 5.18/5.57 end
% 5.18/5.57 permutation0:
% 5.18/5.57 0 ==> 0
% 5.18/5.57 1 ==> 1
% 5.18/5.57 2 ==> 2
% 5.18/5.57 3 ==> 3
% 5.18/5.57 end
% 5.18/5.57
% 5.18/5.57 subsumption: (7) {G0,W6,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), iLess0( X
% 5.18/5.57 , szszuzczcdt0( X ) ) }.
% 5.18/5.57 parent0: (20469) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), iLess0( X,
% 5.18/5.57 szszuzczcdt0( X ) ) }.
% 5.18/5.57 substitution0:
% 5.18/5.57 X := X
% 5.18/5.57 end
% 5.18/5.57 permutation0:
% 5.18/5.57 0 ==> 0
% 5.18/5.57 1 ==> 1
% 5.18/5.57 end
% 5.18/5.57
% 5.18/5.57 subsumption: (52) {G0,W5,D3,L2,V1,M2} I { ! aVector0( X ), aNaturalNumber0
% 5.18/5.57 ( aDimensionOf0( X ) ) }.
% 5.18/5.57 parent0: (20517) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 5.18/5.57 aDimensionOf0( X ) ) }.
% 5.18/5.57 substitution0:
% 5.18/5.57 X := X
% 5.18/5.57 end
% 5.18/5.57 permutation0:
% 5.18/5.57 0 ==> 0
% 5.18/5.57 1 ==> 1
% 5.18/5.57 end
% 5.18/5.57
% 5.18/5.57 subsumption: (55) {G0,W13,D3,L4,V2,M4} I { ! aVector0( X ), aDimensionOf0(
% 5.18/5.57 X ) ==> sz00, ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 5.18/5.57 parent0: (20520) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X
% 5.18/5.59 ) = sz00, ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 X := X
% 5.18/5.59 Y := Y
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 1 ==> 1
% 5.18/5.59 2 ==> 2
% 5.18/5.59 3 ==> 3
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (57) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), szszuzczcdt0(
% 5.18/5.59 aDimensionOf0( Y ) ) = aDimensionOf0( X ) }.
% 5.18/5.59 parent0: (20522) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), szszuzczcdt0(
% 5.18/5.59 aDimensionOf0( Y ) ) = aDimensionOf0( X ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 X := X
% 5.18/5.59 Y := Y
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 1 ==> 1
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (63) {G0,W20,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y )
% 5.18/5.59 , ! aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) ==> sz00
% 5.18/5.59 , aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.18/5.59 }.
% 5.18/5.59 parent0: (20528) {G0,W20,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ),
% 5.18/5.59 ! aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.18/5.59 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.18/5.59 }.
% 5.18/5.59 substitution0:
% 5.18/5.59 X := X
% 5.18/5.59 Y := Y
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 1 ==> 1
% 5.18/5.59 2 ==> 2
% 5.18/5.59 3 ==> 3
% 5.18/5.59 4 ==> 4
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (68) {G0,W2,D2,L1,V0,M1} I { aVector0( xs ) }.
% 5.18/5.59 parent0: (20533) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (69) {G0,W2,D2,L1,V0,M1} I { aVector0( xt ) }.
% 5.18/5.59 parent0: (20534) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (70) {G0,W29,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y )
% 5.18/5.59 , ! aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X )
% 5.18/5.59 , aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.18/5.59 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.18/5.59 ) }.
% 5.18/5.59 parent0: (20535) {G0,W29,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ),
% 5.18/5.59 ! aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X ),
% 5.18/5.59 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.18/5.59 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.18/5.59 ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 X := X
% 5.18/5.59 Y := Y
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 1 ==> 1
% 5.18/5.59 2 ==> 2
% 5.18/5.59 3 ==> 3
% 5.18/5.59 4 ==> 4
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 eqswap: (22287) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xt ) = aDimensionOf0
% 5.18/5.59 ( xs ) }.
% 5.18/5.59 parent0[0]: (20536) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) =
% 5.18/5.59 aDimensionOf0( xt ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (71) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==>
% 5.18/5.59 aDimensionOf0( xs ) }.
% 5.18/5.59 parent0: (22287) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xt ) = aDimensionOf0
% 5.18/5.59 ( xs ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (72) {G0,W4,D3,L1,V0,M1} I { ! aDimensionOf0( xs ) ==> sz00
% 5.18/5.59 }.
% 5.18/5.59 parent0: (20537) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xs ) = sz00 }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (73) {G0,W2,D2,L1,V0,M1} I { aVector0( xp ) }.
% 5.18/5.59 parent0: (20538) {G0,W2,D2,L1,V0,M1} { aVector0( xp ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 eqswap: (22996) {G0,W4,D3,L1,V0,M1} { sziznziztdt0( xs ) = xp }.
% 5.18/5.59 parent0[0]: (20539) {G0,W4,D3,L1,V0,M1} { xp = sziznziztdt0( xs ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (74) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xs ) ==> xp }.
% 5.18/5.59 parent0: (22996) {G0,W4,D3,L1,V0,M1} { sziznziztdt0( xs ) = xp }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (75) {G0,W2,D2,L1,V0,M1} I { aVector0( xq ) }.
% 5.18/5.59 parent0: (20540) {G0,W2,D2,L1,V0,M1} { aVector0( xq ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 eqswap: (23471) {G0,W4,D3,L1,V0,M1} { sziznziztdt0( xt ) = xq }.
% 5.18/5.59 parent0[0]: (20541) {G0,W4,D3,L1,V0,M1} { xq = sziznziztdt0( xt ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (76) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xt ) ==> xq }.
% 5.18/5.59 parent0: (23471) {G0,W4,D3,L1,V0,M1} { sziznziztdt0( xt ) = xq }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0 ==> 0
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 eqswap: (23712) {G0,W5,D3,L1,V0,M1} { sdtasasdt0( xp, xp ) = xC }.
% 5.18/5.59 parent0[0]: (20547) {G0,W5,D3,L1,V0,M1} { xC = sdtasasdt0( xp, xp ) }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59
% 5.18/5.59 subsumption: (82) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xp ) ==> xC }.
% 5.18/5.59 parent0: (23712) {G0,W5,D3,L1,V0,M1} { sdtasasdt0( xp, xp ) = xC }.
% 5.18/5.59 substitution0:
% 5.18/5.59 end
% 5.18/5.59 permutation0:
% 5.18/5.59 0Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------