%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG052+2 : 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 5.16s 5.53s
% Output : Refutation 5.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG052+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon May 30 06:54:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09
% 0.70/1.09 { && }.
% 0.70/1.09 { aNaturalNumber0( sz00 ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! szszuzczcdt0( X ) = sz00 }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, aNaturalNumber0( skol1( Y ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), X = sz00, X = szszuzczcdt0( skol1( X ) ) }.
% 0.70/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! szszuzczcdt0( X ) =
% 0.70/1.09 szszuzczcdt0( Y ), X = Y }.
% 0.70/1.09 { && }.
% 0.70/1.09 { ! aNaturalNumber0( X ), iLess0( X, szszuzczcdt0( X ) ) }.
% 0.70/1.09 { && }.
% 0.70/1.09 { aScalar0( sz0z00 ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtpldt0( X, Y ) ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtasdt0( X, Y ) ) }.
% 0.70/1.09 { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 0.70/1.09 { ! aScalar0( X ), alpha3( X ) }.
% 0.70/1.09 { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00 }.
% 0.70/1.09 { ! alpha3( X ), alpha5( X ) }.
% 0.70/1.09 { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 0.70/1.09 { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X, alpha3( X ) }.
% 0.70/1.09 { ! alpha5( X ), alpha6( X ) }.
% 0.70/1.09 { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) = sz0z00 }.
% 0.70/1.09 { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X ) = sz0z00, alpha5( X ) }.
% 0.70/1.09 { ! alpha6( X ), alpha7( X ) }.
% 0.70/1.09 { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) = sz0z00 }.
% 0.70/1.09 { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) ) = sz0z00, alpha6( X ) }.
% 0.70/1.09 { ! alpha7( X ), alpha8( X ) }.
% 0.70/1.09 { ! alpha7( X ), sdtasdt0( sz0z00, X ) = sz0z00 }.
% 0.70/1.09 { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) = sz0z00, alpha7( X ) }.
% 0.70/1.09 { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 0.70/1.09 { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 0.70/1.09 { ! alpha8( X ), sdtasdt0( X, sz0z00 ) = sz0z00 }.
% 0.70/1.09 { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0( sz0z00, X ) = X, ! sdtasdt0( X,
% 0.70/1.09 sz0z00 ) = sz0z00, alpha8( X ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), alpha4( X, Y, Z ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, Y ) =
% 0.70/1.09 sdtasdt0( Y, X ) }.
% 0.70/1.09 { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X,
% 0.70/1.09 sdtpldt0( Y, Z ) ) }.
% 0.70/1.09 { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.70/1.09 { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X,
% 0.70/1.09 sdtasdt0( Y, Z ) ) }.
% 0.70/1.09 { ! sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ), !
% 0.70/1.09 sdtpldt0( X, Y ) = sdtpldt0( Y, X ), ! sdtasdt0( sdtasdt0( X, Y ), Z ) =
% 0.70/1.09 sdtasdt0( X, sdtasdt0( Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, sdtpldt0
% 0.70/1.09 ( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( sdtpldt0( X
% 0.70/1.09 , Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ),
% 0.70/1.09 sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z, T ) ) = sdtpldt0( sdtpldt0(
% 0.70/1.09 sdtasdt0( X, Z ), sdtasdt0( X, T ) ), sdtpldt0( sdtasdt0( Y, Z ),
% 0.70/1.09 sdtasdt0( Y, T ) ) ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( X, smndt0( Y ) ) = smndt0(
% 0.70/1.09 sdtasdt0( X, Y ) ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), Y ) = smndt0(
% 0.70/1.09 sdtasdt0( X, Y ) ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), smndt0( Y ) ) =
% 0.70/1.09 sdtasdt0( X, Y ) }.
% 0.70/1.09 { && }.
% 0.70/1.09 { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y,
% 0.70/1.09 X ), X = Y }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! sdtlseqdt0( X, Y ),
% 0.70/1.09 ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.70/1.09 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtpldt0( X, Z ),
% 0.70/1.09 sdtpldt0( Y, T ) ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.70/1.09 sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ), ! sdtlseqdt0( Z, T ),
% 0.70/1.09 sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) ) }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X )
% 0.70/1.09 }.
% 0.70/1.09 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.70/1.09 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtpldt0( X, Y ) ) }.
% 1.27/1.66 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 1.27/1.66 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtasdt0( X, Y ) ) }.
% 1.27/1.66 { ! aScalar0( X ), sdtlseqdt0( sz0z00, sdtasdt0( X, X ) ) }.
% 1.27/1.66 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 1.27/1.66 ( sz0z00, Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, Y ), X = Y }.
% 1.27/1.66 { && }.
% 1.27/1.66 { ! aVector0( X ), aNaturalNumber0( aDimensionOf0( X ) ) }.
% 1.27/1.66 { ! aVector0( X ), ! aNaturalNumber0( Y ), aScalar0( sdtlbdtrb0( X, Y ) ) }
% 1.27/1.66 .
% 1.27/1.66 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 1.27/1.66 aVector0( Y ) }.
% 1.27/1.66 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 1.27/1.66 alpha1( X, Y ) }.
% 1.27/1.66 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! aVector0( Y ), ! alpha1( X
% 1.27/1.66 , Y ), Y = sziznziztdt0( X ) }.
% 1.27/1.66 { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X )
% 1.27/1.66 }.
% 1.27/1.66 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 1.27/1.66 { ! szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X ), ! alpha2( X, Y
% 1.27/1.66 ), alpha1( X, Y ) }.
% 1.27/1.66 { ! alpha2( X, Y ), ! aNaturalNumber0( Z ), sdtlbdtrb0( Y, Z ) = sdtlbdtrb0
% 1.27/1.66 ( X, Z ) }.
% 1.27/1.66 { aNaturalNumber0( skol2( Z, T ) ), alpha2( X, Y ) }.
% 1.27/1.66 { ! sdtlbdtrb0( Y, skol2( X, Y ) ) = sdtlbdtrb0( X, skol2( X, Y ) ), alpha2
% 1.27/1.66 ( X, Y ) }.
% 1.27/1.66 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 1.27/1.66 ), aDimensionOf0( Y ) = sz00, aDimensionOf0( sziznziztdt0( X ) ) =
% 1.27/1.66 aDimensionOf0( sziznziztdt0( Y ) ) }.
% 1.27/1.66 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 1.27/1.66 ), aScalar0( sdtasasdt0( X, Y ) ) }.
% 1.27/1.66 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 1.27/1.66 ), ! aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sz0z00 }.
% 1.27/1.66 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 1.27/1.66 ), aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0
% 1.27/1.66 ( sziznziztdt0( X ), sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X,
% 1.27/1.66 aDimensionOf0( X ) ), sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 1.27/1.66 { ! aVector0( X ), sdtlseqdt0( sz0z00, sdtasasdt0( X, X ) ) }.
% 1.27/1.66 { aVector0( xs ) }.
% 1.27/1.66 { aVector0( xt ) }.
% 1.27/1.66 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 1.27/1.66 ), ! iLess0( aDimensionOf0( X ), aDimensionOf0( xs ) ), sdtlseqdt0(
% 1.27/1.66 sdtasdt0( sdtasasdt0( X, Y ), sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0
% 1.27/1.66 ( X, X ), sdtasasdt0( Y, Y ) ) ) }.
% 1.27/1.66 { aDimensionOf0( xs ) = aDimensionOf0( xt ) }.
% 1.27/1.66 { ! aDimensionOf0( xs ) = sz00 }.
% 1.27/1.66 { aVector0( xp ) }.
% 1.27/1.66 { szszuzczcdt0( aDimensionOf0( xp ) ) = aDimensionOf0( xs ) }.
% 1.27/1.66 { ! aNaturalNumber0( X ), sdtlbdtrb0( xp, X ) = sdtlbdtrb0( xs, X ) }.
% 1.27/1.66 { xp = sziznziztdt0( xs ) }.
% 1.27/1.66 { aVector0( xq ) }.
% 1.27/1.66 { szszuzczcdt0( aDimensionOf0( xq ) ) = aDimensionOf0( xt ) }.
% 1.27/1.66 { ! aNaturalNumber0( X ), sdtlbdtrb0( xq, X ) = sdtlbdtrb0( xt, X ) }.
% 1.27/1.66 { xq = sziznziztdt0( xt ) }.
% 1.27/1.66 { aScalar0( xA ) }.
% 1.27/1.66 { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) ) }.
% 1.27/1.66 { aScalar0( xB ) }.
% 1.27/1.66 { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) ) }.
% 1.27/1.66 { aScalar0( xC ) }.
% 1.27/1.66 { xC = sdtasasdt0( xp, xp ) }.
% 1.27/1.66 { aScalar0( xD ) }.
% 1.27/1.66 { xD = sdtasasdt0( xq, xq ) }.
% 1.27/1.66 { aScalar0( xE ) }.
% 1.27/1.66 { xE = sdtasasdt0( xp, xq ) }.
% 1.27/1.66 { aScalar0( xF ) }.
% 1.27/1.66 { xF = sdtasdt0( xA, xA ) }.
% 1.27/1.66 { aScalar0( xG ) }.
% 1.27/1.66 { xG = sdtasdt0( xB, xB ) }.
% 1.27/1.66 { aScalar0( xH ) }.
% 1.27/1.66 { xH = sdtasdt0( xA, xB ) }.
% 1.27/1.66 { aScalar0( xR ) }.
% 1.27/1.66 { xR = sdtasdt0( xC, xG ) }.
% 1.27/1.66 { aScalar0( xP ) }.
% 1.27/1.66 { xP = sdtasdt0( xE, xH ) }.
% 1.27/1.66 { aScalar0( xS ) }.
% 1.27/1.66 { xS = sdtasdt0( xF, xD ) }.
% 1.27/1.66 { aScalar0( xN ) }.
% 1.27/1.66 { xN = sdtasdt0( xR, xS ) }.
% 1.27/1.66 { ! sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD ) ) }.
% 1.27/1.66
% 1.27/1.66 percentage equality = 0.304688, percentage horn = 0.915094
% 1.27/1.66 This is a problem with some equality
% 1.27/1.66
% 1.27/1.66
% 1.27/1.66
% 1.27/1.66 Options Used:
% 1.27/1.66
% 1.27/1.66 useres = 1
% 1.27/1.66 useparamod = 1
% 1.27/1.66 useeqrefl = 1
% 1.27/1.66 useeqfact = 1
% 1.27/1.66 usefactor = 1
% 1.27/1.66 usesimpsplitting = 0
% 1.27/1.66 usesimpdemod = 5
% 1.27/1.66 usesimpres = 3
% 1.27/1.66
% 1.27/1.66 resimpinuse = 1000
% 1.27/1.66 resimpclauses = 20000
% 1.27/1.66 substype = eqrewr
% 1.27/1.66 backwardsubs = 1
% 1.27/1.66 selectoldest = 5
% 1.27/1.66
% 1.27/1.66 litorderings [0] = split
% 1.27/1.66 litorderings [1] = extend the termordering, first sorting on arguments
% 1.27/1.66
% 1.27/1.66 termordering = kbo
% 1.27/1.66
% 1.27/1.66 litapriori = 0
% 1.27/1.66 termapriori = 1
% 1.27/1.66 litaposteriori = 0
% 1.27/1.66 termaposteriori = 0
% 5.16/5.53 demodaposteriori = 0
% 5.16/5.53 ordereqreflfact = 0
% 5.16/5.53
% 5.16/5.53 litselect = negord
% 5.16/5.53
% 5.16/5.53 maxweight = 15
% 5.16/5.53 maxdepth = 30000
% 5.16/5.53 maxlength = 115
% 5.16/5.53 maxnrvars = 195
% 5.16/5.53 excuselevel = 1
% 5.16/5.53 increasemaxweight = 1
% 5.16/5.53
% 5.16/5.53 maxselected = 10000000
% 5.16/5.53 maxnrclauses = 10000000
% 5.16/5.53
% 5.16/5.53 showgenerated = 0
% 5.16/5.53 showkept = 0
% 5.16/5.53 showselected = 0
% 5.16/5.53 showdeleted = 0
% 5.16/5.53 showresimp = 1
% 5.16/5.53 showstatus = 2000
% 5.16/5.53
% 5.16/5.53 prologoutput = 0
% 5.16/5.53 nrgoals = 5000000
% 5.16/5.53 totalproof = 1
% 5.16/5.53
% 5.16/5.53 Symbols occurring in the translation:
% 5.16/5.53
% 5.16/5.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.16/5.53 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 5.16/5.53 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 5.16/5.53 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 5.16/5.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.16/5.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.16/5.53 aNaturalNumber0 [36, 1] (w:1, o:33, a:1, s:1, b:0),
% 5.16/5.53 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 5.16/5.53 szszuzczcdt0 [38, 1] (w:1, o:34, a:1, s:1, b:0),
% 5.16/5.53 iLess0 [40, 2] (w:1, o:70, a:1, s:1, b:0),
% 5.16/5.53 aScalar0 [41, 1] (w:1, o:35, a:1, s:1, b:0),
% 5.16/5.53 sz0z00 [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 5.16/5.53 sdtpldt0 [43, 2] (w:1, o:71, a:1, s:1, b:0),
% 5.16/5.53 sdtasdt0 [44, 2] (w:1, o:72, a:1, s:1, b:0),
% 5.16/5.53 smndt0 [45, 1] (w:1, o:36, a:1, s:1, b:0),
% 5.16/5.53 sdtlseqdt0 [48, 2] (w:1, o:73, a:1, s:1, b:0),
% 5.16/5.53 aVector0 [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 5.16/5.53 aDimensionOf0 [50, 1] (w:1, o:38, a:1, s:1, b:0),
% 5.16/5.53 sdtlbdtrb0 [51, 2] (w:1, o:74, a:1, s:1, b:0),
% 5.16/5.53 sziznziztdt0 [52, 1] (w:1, o:39, a:1, s:1, b:0),
% 5.16/5.53 sdtasasdt0 [53, 2] (w:1, o:75, a:1, s:1, b:0),
% 5.16/5.53 xs [54, 0] (w:1, o:12, a:1, s:1, b:0),
% 5.16/5.53 xt [55, 0] (w:1, o:13, a:1, s:1, b:0),
% 5.16/5.53 xp [56, 0] (w:1, o:14, a:1, s:1, b:0),
% 5.16/5.53 xq [57, 0] (w:1, o:15, a:1, s:1, b:0),
% 5.16/5.53 xA [58, 0] (w:1, o:16, a:1, s:1, b:0),
% 5.16/5.53 xB [59, 0] (w:1, o:17, a:1, s:1, b:0),
% 5.16/5.53 xC [60, 0] (w:1, o:18, a:1, s:1, b:0),
% 5.16/5.53 xD [61, 0] (w:1, o:19, a:1, s:1, b:0),
% 5.16/5.53 xE [62, 0] (w:1, o:20, a:1, s:1, b:0),
% 5.16/5.53 xF [63, 0] (w:1, o:21, a:1, s:1, b:0),
% 5.16/5.53 xG [64, 0] (w:1, o:22, a:1, s:1, b:0),
% 5.16/5.53 xH [65, 0] (w:1, o:23, a:1, s:1, b:0),
% 5.16/5.53 xR [66, 0] (w:1, o:24, a:1, s:1, b:0),
% 5.16/5.53 xP [67, 0] (w:1, o:25, a:1, s:1, b:0),
% 5.16/5.53 xS [68, 0] (w:1, o:26, a:1, s:1, b:0),
% 5.16/5.53 xN [69, 0] (w:1, o:27, a:1, s:1, b:0),
% 5.16/5.53 alpha1 [70, 2] (w:1, o:76, a:1, s:1, b:1),
% 5.16/5.53 alpha2 [71, 2] (w:1, o:77, a:1, s:1, b:1),
% 5.16/5.53 alpha3 [72, 1] (w:1, o:40, a:1, s:1, b:1),
% 5.16/5.53 alpha4 [73, 3] (w:1, o:79, a:1, s:1, b:1),
% 5.16/5.53 alpha5 [74, 1] (w:1, o:41, a:1, s:1, b:1),
% 5.16/5.53 alpha6 [75, 1] (w:1, o:42, a:1, s:1, b:1),
% 5.16/5.53 alpha7 [76, 1] (w:1, o:43, a:1, s:1, b:1),
% 5.16/5.53 alpha8 [77, 1] (w:1, o:44, a:1, s:1, b:1),
% 5.16/5.53 skol1 [78, 1] (w:1, o:45, a:1, s:1, b:1),
% 5.16/5.53 skol2 [79, 2] (w:1, o:78, a:1, s:1, b:1).
% 5.16/5.53
% 5.16/5.53
% 5.16/5.53 Starting Search:
% 5.16/5.53
% 5.16/5.53 *** allocated 15000 integers for clauses
% 5.16/5.53 *** allocated 22500 integers for clauses
% 5.16/5.53 *** allocated 33750 integers for clauses
% 5.16/5.53 *** allocated 50625 integers for clauses
% 5.16/5.53 *** allocated 15000 integers for termspace/termends
% 5.16/5.53 *** allocated 75937 integers for clauses
% 5.16/5.53 *** allocated 22500 integers for termspace/termends
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 *** allocated 113905 integers for clauses
% 5.16/5.53 *** allocated 33750 integers for termspace/termends
% 5.16/5.53 *** allocated 170857 integers for clauses
% 5.16/5.53 *** allocated 50625 integers for termspace/termends
% 5.16/5.53
% 5.16/5.53 Intermediate Status:
% 5.16/5.53 Generated: 5882
% 5.16/5.53 Kept: 2083
% 5.16/5.53 Inuse: 199
% 5.16/5.53 Deleted: 4
% 5.16/5.53 Deletedinuse: 2
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 *** allocated 75937 integers for termspace/termends
% 5.16/5.53 *** allocated 256285 integers for clauses
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53
% 5.16/5.53 Intermediate Status:
% 5.16/5.53 Generated: 14579
% 5.16/5.53 Kept: 4085
% 5.16/5.53 Inuse: 354
% 5.16/5.53 Deleted: 7
% 5.16/5.53 Deletedinuse: 3
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 *** allocated 113905 integers for termspace/termends
% 5.16/5.53 *** allocated 384427 integers for clauses
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53
% 5.16/5.53 Intermediate Status:
% 5.16/5.53 Generated: 23916
% 5.16/5.53 Kept: 6108
% 5.16/5.53 Inuse: 541
% 5.16/5.53 Deleted: 20
% 5.16/5.53 Deletedinuse: 14
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 *** allocated 576640 integers for clauses
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 *** allocated 170857 integers for termspace/termends
% 5.16/5.53
% 5.16/5.53 Intermediate Status:
% 5.16/5.53 Generated: 39603
% 5.16/5.53 Kept: 8112
% 5.16/5.53 Inuse: 807
% 5.16/5.53 Deleted: 63
% 5.16/5.53 Deletedinuse: 24
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 *** allocated 864960 integers for clauses
% 5.16/5.53
% 5.16/5.53 Intermediate Status:
% 5.16/5.53 Generated: 51964
% 5.16/5.53 Kept: 10136
% 5.16/5.53 Inuse: 918
% 5.16/5.53 Deleted: 68
% 5.16/5.53 Deletedinuse: 25
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 *** allocated 256285 integers for termspace/termends
% 5.16/5.53
% 5.16/5.53 Intermediate Status:
% 5.16/5.53 Generated: 63070
% 5.16/5.53 Kept: 12138
% 5.16/5.53 Inuse: 1063
% 5.16/5.53 Deleted: 101
% 5.16/5.53 Deletedinuse: 51
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53
% 5.16/5.53 Intermediate Status:
% 5.16/5.53 Generated: 66935
% 5.16/5.53 Kept: 14168
% 5.16/5.53 Inuse: 1112
% 5.16/5.53 Deleted: 105
% 5.16/5.53 Deletedinuse: 51
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 *** allocated 1297440 integers for clauses
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53
% 5.16/5.53 Intermediate Status:
% 5.16/5.53 Generated: 71676
% 5.16/5.53 Kept: 16202
% 5.16/5.53 Inuse: 1148
% 5.16/5.53 Deleted: 105
% 5.16/5.53 Deletedinuse: 51
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53
% 5.16/5.53 Intermediate Status:
% 5.16/5.53 Generated: 76147
% 5.16/5.53 Kept: 18287
% 5.16/5.53 Inuse: 1182
% 5.16/5.53 Deleted: 105
% 5.16/5.53 Deletedinuse: 51
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 Resimplifying inuse:
% 5.16/5.53 Done
% 5.16/5.53
% 5.16/5.53 *** allocated 384427 integers for termspace/termends
% 5.16/5.53 Resimplifying clauses:
% 5.16/5.53
% 5.16/5.53 Bliksems!, er is een bewijs:
% 5.16/5.53 % SZS status Theorem
% 5.16/5.53 % SZS output start Refutation
% 5.16/5.53
% 5.16/5.53 (7) {G0,W6,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), iLess0( X, szszuzczcdt0
% 5.16/5.53 ( X ) ) }.
% 5.16/5.53 (52) {G0,W5,D3,L2,V1,M2} I { ! aVector0( X ), aNaturalNumber0(
% 5.16/5.53 aDimensionOf0( X ) ) }.
% 5.16/5.53 (63) {G0,W20,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y ), !
% 5.16/5.53 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) ==> sz00,
% 5.16/5.53 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.16/5.53 }.
% 5.16/5.53 (68) {G0,W2,D2,L1,V0,M1} I { aVector0( xs ) }.
% 5.16/5.53 (69) {G0,W2,D2,L1,V0,M1} I { aVector0( xt ) }.
% 5.16/5.53 (70) {G0,W29,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y ), !
% 5.16/5.53 aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X ),
% 5.16/5.53 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.16/5.53 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.16/5.53 ) }.
% 5.16/5.53 (71) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==> aDimensionOf0( xs )
% 5.16/5.53 }.
% 5.16/5.53 (72) {G0,W4,D3,L1,V0,M1} I { ! aDimensionOf0( xs ) ==> sz00 }.
% 5.16/5.53 (73) {G0,W2,D2,L1,V0,M1} I { aVector0( xp ) }.
% 5.16/5.53 (74) {G0,W6,D4,L1,V0,M1} I { szszuzczcdt0( aDimensionOf0( xp ) ) ==>
% 5.16/5.53 aDimensionOf0( xs ) }.
% 5.16/5.53 (76) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xs ) ==> xp }.
% 5.16/5.53 (77) {G0,W2,D2,L1,V0,M1} I { aVector0( xq ) }.
% 5.16/5.53 (80) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xt ) ==> xq }.
% 5.16/5.53 (86) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xp ) ==> xC }.
% 5.16/5.53 (88) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xq, xq ) ==> xD }.
% 5.16/5.53 (90) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xq ) ==> xE }.
% 5.16/5.53 (105) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0(
% 5.16/5.53 xC, xD ) ) }.
% 5.16/5.53 (2604) {G1,W3,D3,L1,V0,M1} R(52,73) { aNaturalNumber0( aDimensionOf0( xp )
% 5.16/5.53 ) }.
% 5.16/5.53 (2619) {G2,W5,D3,L1,V0,M1} R(2604,7);d(74) { iLess0( aDimensionOf0( xp ),
% 5.16/5.53 aDimensionOf0( xs ) ) }.
% 5.16/5.53 (3227) {G1,W13,D4,L3,V1,M3} R(63,72);d(76);r(68) { ! aVector0( X ), !
% 5.16/5.53 aDimensionOf0( X ) = aDimensionOf0( xs ), aDimensionOf0( sziznziztdt0( X
% 5.16/5.53 ) ) ==> aDimensionOf0( xp ) }.
% 5.16/5.53 (3233) {G2,W12,D3,L3,V1,M3} R(63,69);d(71);d(71);d(3227);d(80);r(72) { !
% 5.16/5.53 aVector0( X ), ! aDimensionOf0( X ) = aDimensionOf0( xs ), aDimensionOf0
% 5.16/5.53 ( xq ) ==> aDimensionOf0( xp ) }.
% 5.16/5.53 (3285) {G3,W5,D3,L1,V0,M1} Q(3233);r(68) { aDimensionOf0( xq ) ==>
% 5.16/5.53 aDimensionOf0( xp ) }.
% 5.16/5.53 (4098) {G4,W14,D3,L3,V0,M3} P(90,70);d(3285);d(86);d(88);q;r(73) { !
% 5.16/5.53 aVector0( xq ), ! iLess0( aDimensionOf0( xp ), aDimensionOf0( xs ) ),
% 5.16/5.53 sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD ) ) }.
% 5.16/5.53 (20620) {G5,W0,D0,L0,V0,M0} S(4098);r(77);r(2619);r(105) { }.
% 5.16/5.53
% 5.16/5.53
% 5.16/5.53 % SZS output end Refutation
% 5.16/5.53 found a proof!
% 5.16/5.53
% 5.16/5.53
% 5.16/5.53 Unprocessed initial clauses:
% 5.16/5.53
% 5.16/5.53 (20622) {G0,W1,D1,L1,V0,M1} { && }.
% 5.16/5.53 (20623) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 5.16/5.53 (20624) {G0,W5,D3,L2,V1,M2} { ! aNaturalNumber0( X ), aNaturalNumber0(
% 5.16/5.53 szszuzczcdt0( X ) ) }.
% 5.16/5.53 (20625) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! szszuzczcdt0( X )
% 5.16/5.53 = sz00 }.
% 5.16/5.53 (20626) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), X = sz00,
% 5.16/5.53 aNaturalNumber0( skol1( Y ) ) }.
% 5.16/5.53 (20627) {G0,W10,D4,L3,V1,M3} { ! aNaturalNumber0( X ), X = sz00, X =
% 5.16/5.53 szszuzczcdt0( skol1( X ) ) }.
% 5.16/5.53 (20628) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 5.16/5.53 Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 5.16/5.53 (20629) {G0,W1,D1,L1,V0,M1} { && }.
% 5.16/5.53 (20630) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), iLess0( X,
% 5.16/5.53 szszuzczcdt0( X ) ) }.
% 5.16/5.53 (20631) {G0,W1,D1,L1,V0,M1} { && }.
% 5.16/5.53 (20632) {G0,W2,D2,L1,V0,M1} { aScalar0( sz0z00 ) }.
% 5.16/5.53 (20633) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.16/5.53 sdtpldt0( X, Y ) ) }.
% 5.16/5.53 (20634) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.16/5.53 sdtasdt0( X, Y ) ) }.
% 5.16/5.53 (20635) {G0,W5,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 5.16/5.53 (20636) {G0,W4,D2,L2,V1,M2} { ! aScalar0( X ), alpha3( X ) }.
% 5.16/5.53 (20637) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00
% 5.16/5.53 }.
% 5.16/5.53 (20638) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 5.16/5.53 (20639) {G0,W7,D4,L2,V1,M2} { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 5.16/5.53 (20640) {G0,W9,D4,L3,V1,M3} { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X,
% 5.16/5.53 alpha3( X ) }.
% 5.16/5.53 (20641) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha6( X ) }.
% 5.16/5.53 (20642) {G0,W8,D4,L2,V1,M2} { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) =
% 5.16/5.53 sz0z00 }.
% 5.16/5.53 (20643) {G0,W10,D4,L3,V1,M3} { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X )
% 5.16/5.53 = sz0z00, alpha5( X ) }.
% 5.16/5.53 (20644) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha7( X ) }.
% 5.16/5.53 (20645) {G0,W8,D4,L2,V1,M2} { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) =
% 5.16/5.53 sz0z00 }.
% 5.16/5.53 (20646) {G0,W10,D4,L3,V1,M3} { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) )
% 5.16/5.53 = sz0z00, alpha6( X ) }.
% 5.16/5.53 (20647) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha8( X ) }.
% 5.16/5.53 (20648) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), sdtasdt0( sz0z00, X ) =
% 5.16/5.53 sz0z00 }.
% 5.16/5.53 (20649) {G0,W9,D3,L3,V1,M3} { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) =
% 5.16/5.53 sz0z00, alpha7( X ) }.
% 5.16/5.53 (20650) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 5.16/5.53 (20651) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 5.16/5.53 (20652) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtasdt0( X, sz0z00 ) =
% 5.16/5.53 sz0z00 }.
% 5.16/5.53 (20653) {G0,W17,D3,L4,V1,M4} { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0(
% 5.16/5.53 sz0z00, X ) = X, ! sdtasdt0( X, sz0z00 ) = sz0z00, alpha8( X ) }.
% 5.16/5.53 (20654) {G0,W10,D2,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 aScalar0( Z ), alpha4( X, Y, Z ) }.
% 5.16/5.53 (20655) {G0,W13,D3,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 aScalar0( Z ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 5.16/5.53 (20656) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X
% 5.16/5.53 , Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 5.16/5.53 (20657) {G0,W11,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) =
% 5.16/5.53 sdtpldt0( Y, X ) }.
% 5.16/5.53 (20658) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X
% 5.16/5.53 , Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 5.16/5.53 (20659) {G0,W33,D4,L4,V3,M4} { ! sdtpldt0( sdtpldt0( X, Y ), Z ) =
% 5.16/5.53 sdtpldt0( X, sdtpldt0( Y, Z ) ), ! sdtpldt0( X, Y ) = sdtpldt0( Y, X ), !
% 5.16/5.53 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ),
% 5.16/5.53 alpha4( X, Y, Z ) }.
% 5.16/5.53 (20660) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 aScalar0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y
% 5.16/5.53 ), sdtasdt0( X, Z ) ) }.
% 5.16/5.53 (20661) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 aScalar0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z
% 5.16/5.53 ), sdtasdt0( Y, Z ) ) }.
% 5.16/5.53 (20662) {G0,W31,D5,L5,V4,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 aScalar0( Z ), ! aScalar0( T ), sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z,
% 5.16/5.53 T ) ) = sdtpldt0( sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( X, T ) ),
% 5.16/5.53 sdtpldt0( sdtasdt0( Y, Z ), sdtasdt0( Y, T ) ) ) }.
% 5.16/5.53 (20663) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.16/5.53 ( X, smndt0( Y ) ) = smndt0( sdtasdt0( X, Y ) ) }.
% 5.16/5.53 (20664) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.16/5.53 ( smndt0( X ), Y ) = smndt0( sdtasdt0( X, Y ) ) }.
% 5.16/5.53 (20665) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.16/5.53 ( smndt0( X ), smndt0( Y ) ) = sdtasdt0( X, Y ) }.
% 5.16/5.53 (20666) {G0,W1,D1,L1,V0,M1} { && }.
% 5.16/5.53 (20667) {G0,W5,D2,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 5.16/5.53 (20668) {G0,W13,D2,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 5.16/5.53 (20669) {G0,W15,D2,L6,V3,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 aScalar0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 5.16/5.53 , Z ) }.
% 5.16/5.53 (20670) {G0,W21,D3,L7,V4,M7} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T
% 5.16/5.53 ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, T ) ) }.
% 5.16/5.53 (20671) {G0,W24,D3,L8,V4,M8} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 5.16/5.53 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 5.16/5.53 ( Y, T ) ) }.
% 5.16/5.53 (20672) {G0,W10,D2,L4,V2,M4} { ! aScalar0( X ), ! aScalar0( Y ),
% 5.16/5.53 sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 5.16/5.53 (20673) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 5.16/5.53 sdtpldt0( X, Y ) ) }.
% 5.16/5.53 (20674) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 5.16/5.53 sdtasdt0( X, Y ) ) }.
% 5.16/5.53 (20675) {G0,W7,D3,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( sz0z00,
% 5.16/5.53 sdtasdt0( X, X ) ) }.
% 5.16/5.53 (20676) {G0,W20,D3,L6,V2,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.16/5.53 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), ! sdtasdt0( X, X ) =
% 5.16/5.53 sdtasdt0( Y, Y ), X = Y }.
% 5.16/5.53 (20677) {G0,W1,D1,L1,V0,M1} { && }.
% 5.16/5.53 (20678) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 5.16/5.53 aDimensionOf0( X ) ) }.
% 5.16/5.53 (20679) {G0,W8,D3,L3,V2,M3} { ! aVector0( X ), ! aNaturalNumber0( Y ),
% 5.16/5.53 aScalar0( sdtlbdtrb0( X, Y ) ) }.
% 5.16/5.53 (20680) {G0,W12,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.16/5.53 , ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 5.16/5.53 (20681) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.16/5.53 , ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 5.16/5.53 (20682) {G0,W15,D3,L5,V2,M5} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.16/5.53 , ! aVector0( Y ), ! alpha1( X, Y ), Y = sziznziztdt0( X ) }.
% 5.16/5.53 (20683) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), szszuzczcdt0(
% 5.16/5.53 aDimensionOf0( Y ) ) = aDimensionOf0( X ) }.
% 5.16/5.53 (20684) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 5.16/5.53 (20685) {G0,W12,D4,L3,V2,M3} { ! szszuzczcdt0( aDimensionOf0( Y ) ) =
% 5.16/5.53 aDimensionOf0( X ), ! alpha2( X, Y ), alpha1( X, Y ) }.
% 5.16/5.53 (20686) {G0,W12,D3,L3,V3,M3} { ! alpha2( X, Y ), ! aNaturalNumber0( Z ),
% 5.16/5.53 sdtlbdtrb0( Y, Z ) = sdtlbdtrb0( X, Z ) }.
% 5.16/5.53 (20687) {G0,W7,D3,L2,V4,M2} { aNaturalNumber0( skol2( Z, T ) ), alpha2( X
% 5.16/5.53 , Y ) }.
% 5.16/5.53 (20688) {G0,W14,D4,L2,V2,M2} { ! sdtlbdtrb0( Y, skol2( X, Y ) ) =
% 5.16/5.53 sdtlbdtrb0( X, skol2( X, Y ) ), alpha2( X, Y ) }.
% 5.16/5.53 (20689) {G0,W20,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.16/5.53 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.16/5.53 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.16/5.53 }.
% 5.16/5.53 (20690) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), ! aVector0( Y ), !
% 5.16/5.53 aDimensionOf0( X ) = aDimensionOf0( Y ), aScalar0( sdtasasdt0( X, Y ) )
% 5.16/5.53 }.
% 5.16/5.53 (20691) {G0,W18,D3,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.16/5.53 aDimensionOf0( X ) = aDimensionOf0( Y ), ! aDimensionOf0( Y ) = sz00,
% 5.16/5.53 sdtasasdt0( X, Y ) = sz0z00 }.
% 5.16/5.53 (20692) {G0,W32,D6,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.16/5.53 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.16/5.53 sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0( sziznziztdt0( X ),
% 5.16/5.53 sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X, aDimensionOf0( X ) ),
% 5.16/5.53 sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 5.16/5.53 (20693) {G0,W7,D3,L2,V1,M2} { ! aVector0( X ), sdtlseqdt0( sz0z00,
% 5.16/5.53 sdtasasdt0( X, X ) ) }.
% 5.16/5.53 (20694) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 5.16/5.53 (20695) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 5.16/5.53 (20696) {G0,W29,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.16/5.53 aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X ),
% 5.16/5.53 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.16/5.53 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.16/5.53 ) }.
% 5.16/5.53 (20697) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) = aDimensionOf0( xt )
% 5.16/5.53 }.
% 5.16/5.53 (20698) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xs ) = sz00 }.
% 5.16/5.53 (20699) {G0,W2,D2,L1,V0,M1} { aVector0( xp ) }.
% 5.16/5.53 (20700) {G0,W6,D4,L1,V0,M1} { szszuzczcdt0( aDimensionOf0( xp ) ) =
% 5.16/5.53 aDimensionOf0( xs ) }.
% 5.16/5.53 (20701) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlbdtrb0( xp, X )
% 5.16/5.53 = sdtlbdtrb0( xs, X ) }.
% 5.16/5.53 (20702) {G0,W4,D3,L1,V0,M1} { xp = sziznziztdt0( xs ) }.
% 5.16/5.53 (20703) {G0,W2,D2,L1,V0,M1} { aVector0( xq ) }.
% 5.16/5.53 (20704) {G0,W6,D4,L1,V0,M1} { szszuzczcdt0( aDimensionOf0( xq ) ) =
% 5.16/5.53 aDimensionOf0( xt ) }.
% 5.16/5.53 (20705) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlbdtrb0( xq, X )
% 5.16/5.53 = sdtlbdtrb0( xt, X ) }.
% 5.16/5.53 (20706) {G0,W4,D3,L1,V0,M1} { xq = sziznziztdt0( xt ) }.
% 5.16/5.53 (20707) {G0,W2,D2,L1,V0,M1} { aScalar0( xA ) }.
% 5.16/5.53 (20708) {G0,W6,D4,L1,V0,M1} { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) )
% 5.16/5.53 }.
% 5.16/5.53 (20709) {G0,W2,D2,L1,V0,M1} { aScalar0( xB ) }.
% 5.16/5.53 (20710) {G0,W6,D4,L1,V0,M1} { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) )
% 5.16/5.53 }.
% 5.16/5.53 (20711) {G0,W2,D2,L1,V0,M1} { aScalar0( xC ) }.
% 5.16/5.53 (20712) {G0,W5,D3,L1,V0,M1} { xC = sdtasasdt0( xp, xp ) }.
% 5.16/5.53 (20713) {G0,W2,D2,L1,V0,M1} { aScalar0( xD ) }.
% 5.16/5.53 (20714) {G0,W5,D3,L1,V0,M1} { xD = sdtasasdt0( xq, xq ) }.
% 5.16/5.53 (20715) {G0,W2,D2,L1,V0,M1} { aScalar0( xE ) }.
% 5.16/5.53 (20716) {G0,W5,D3,L1,V0,M1} { xE = sdtasasdt0( xp, xq ) }.
% 5.16/5.53 (20717) {G0,W2,D2,L1,V0,M1} { aScalar0( xF ) }.
% 5.16/5.53 (20718) {G0,W5,D3,L1,V0,M1} { xF = sdtasdt0( xA, xA ) }.
% 5.16/5.53 (20719) {G0,W2,D2,L1,V0,M1} { aScalar0( xG ) }.
% 5.16/5.53 (20720) {G0,W5,D3,L1,V0,M1} { xG = sdtasdt0( xB, xB ) }.
% 5.16/5.53 (20721) {G0,W2,D2,L1,V0,M1} { aScalar0( xH ) }.
% 5.16/5.53 (20722) {G0,W5,D3,L1,V0,M1} { xH = sdtasdt0( xA, xB ) }.
% 5.16/5.53 (20723) {G0,W2,D2,L1,V0,M1} { aScalar0( xR ) }.
% 5.16/5.53 (20724) {G0,W5,D3,L1,V0,M1} { xR = sdtasdt0( xC, xG ) }.
% 5.16/5.53 (20725) {G0,W2,D2,L1,V0,M1} { aScalar0( xP ) }.
% 5.16/5.53 (20726) {G0,W5,D3,L1,V0,M1} { xP = sdtasdt0( xE, xH ) }.
% 5.16/5.53 (20727) {G0,W2,D2,L1,V0,M1} { aScalar0( xS ) }.
% 5.16/5.53 (20728) {G0,W5,D3,L1,V0,M1} { xS = sdtasdt0( xF, xD ) }.
% 5.16/5.53 (20729) {G0,W2,D2,L1,V0,M1} { aScalar0( xN ) }.
% 5.16/5.53 (20730) {G0,W5,D3,L1,V0,M1} { xN = sdtasdt0( xR, xS ) }.
% 5.16/5.53 (20731) {G0,W7,D3,L1,V0,M1} { ! sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0(
% 5.16/5.53 xC, xD ) ) }.
% 5.16/5.53
% 5.16/5.53
% 5.16/5.53 Total Proof:
% 5.16/5.53
% 5.16/5.53 subsumption: (7) {G0,W6,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), iLess0( X
% 5.16/5.53 , szszuzczcdt0( X ) ) }.
% 5.16/5.53 parent0: (20630) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), iLess0( X,
% 5.16/5.53 szszuzczcdt0( X ) ) }.
% 5.16/5.53 substitution0:
% 5.16/5.53 X := X
% 5.16/5.53 end
% 5.16/5.53 permutation0:
% 5.16/5.53 0 ==> 0
% 5.16/5.53 1 ==> 1
% 5.16/5.53 end
% 5.16/5.53
% 5.16/5.53 subsumption: (52) {G0,W5,D3,L2,V1,M2} I { ! aVector0( X ), aNaturalNumber0
% 5.16/5.53 ( aDimensionOf0( X ) ) }.
% 5.16/5.53 parent0: (20678) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 5.16/5.53 aDimensionOf0( X ) ) }.
% 5.16/5.53 substitution0:
% 5.16/5.53 X := X
% 5.16/5.53 end
% 5.16/5.53 permutation0:
% 5.16/5.53 0 ==> 0
% 5.16/5.53 1 ==> 1
% 5.16/5.53 end
% 5.16/5.53
% 5.16/5.53 subsumption: (63) {G0,W20,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y )
% 5.16/5.53 , ! aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) ==> sz00
% 5.16/5.53 , aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.16/5.53 }.
% 5.16/5.53 parent0: (20689) {G0,W20,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ),
% 5.16/5.53 ! aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.16/5.53 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.16/5.53 }.
% 5.16/5.53 substitution0:
% 5.16/5.53 X := X
% 5.16/5.53 Y := Y
% 5.16/5.53 end
% 5.16/5.53 permutation0:
% 5.16/5.53 0 ==> 0
% 5.16/5.53 1 ==> 1
% 5.16/5.53 2 ==> 2
% 5.16/5.53 3 ==> 3
% 5.16/5.53 4 ==> 4
% 5.16/5.53 end
% 5.16/5.53
% 5.16/5.53 subsumption: (68) {G0,W2,D2,L1,V0,M1} I { aVector0( xs ) }.
% 5.16/5.53 parent0: (20694) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 5.16/5.53 substitution0:
% 5.16/5.53 end
% 5.16/5.53 permutation0:
% 5.16/5.53 0 ==> 0
% 5.16/5.53 end
% 5.16/5.53
% 5.16/5.53 subsumption: (69) {G0,W2,D2,L1,V0,M1} I { aVector0( xt ) }.
% 5.16/5.53 parent0: (20695) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 5.16/5.53 substitution0:
% 5.16/5.53 end
% 5.16/5.53 permutation0:
% 5.16/5.53 0 ==> 0
% 5.16/5.53 end
% 5.16/5.53
% 5.16/5.53 subsumption: (70) {G0,W29,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y )
% 5.16/5.53 , ! aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X )
% 5.16/5.53 , aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.16/5.53 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.16/5.53 ) }.
% 5.16/5.53 parent0: (20696) {G0,W29,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ),
% 5.16/5.55 ! aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X ),
% 5.16/5.55 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.16/5.55 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.16/5.55 ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 Y := Y
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 1 ==> 1
% 5.16/5.55 2 ==> 2
% 5.16/5.55 3 ==> 3
% 5.16/5.55 4 ==> 4
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (22061) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xt ) = aDimensionOf0
% 5.16/5.55 ( xs ) }.
% 5.16/5.55 parent0[0]: (20697) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( xt ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (71) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==>
% 5.16/5.55 aDimensionOf0( xs ) }.
% 5.16/5.55 parent0: (22061) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xt ) = aDimensionOf0
% 5.16/5.55 ( xs ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (72) {G0,W4,D3,L1,V0,M1} I { ! aDimensionOf0( xs ) ==> sz00
% 5.16/5.55 }.
% 5.16/5.55 parent0: (20698) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xs ) = sz00 }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (73) {G0,W2,D2,L1,V0,M1} I { aVector0( xp ) }.
% 5.16/5.55 parent0: (20699) {G0,W2,D2,L1,V0,M1} { aVector0( xp ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (74) {G0,W6,D4,L1,V0,M1} I { szszuzczcdt0( aDimensionOf0( xp )
% 5.16/5.55 ) ==> aDimensionOf0( xs ) }.
% 5.16/5.55 parent0: (20700) {G0,W6,D4,L1,V0,M1} { szszuzczcdt0( aDimensionOf0( xp ) )
% 5.16/5.55 = aDimensionOf0( xs ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (23009) {G0,W4,D3,L1,V0,M1} { sziznziztdt0( xs ) = xp }.
% 5.16/5.55 parent0[0]: (20702) {G0,W4,D3,L1,V0,M1} { xp = sziznziztdt0( xs ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (76) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xs ) ==> xp }.
% 5.16/5.55 parent0: (23009) {G0,W4,D3,L1,V0,M1} { sziznziztdt0( xs ) = xp }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (77) {G0,W2,D2,L1,V0,M1} I { aVector0( xq ) }.
% 5.16/5.55 parent0: (20703) {G0,W2,D2,L1,V0,M1} { aVector0( xq ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (23490) {G0,W4,D3,L1,V0,M1} { sziznziztdt0( xt ) = xq }.
% 5.16/5.55 parent0[0]: (20706) {G0,W4,D3,L1,V0,M1} { xq = sziznziztdt0( xt ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (80) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xt ) ==> xq }.
% 5.16/5.55 parent0: (23490) {G0,W4,D3,L1,V0,M1} { sziznziztdt0( xt ) = xq }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (23735) {G0,W5,D3,L1,V0,M1} { sdtasasdt0( xp, xp ) = xC }.
% 5.16/5.55 parent0[0]: (20712) {G0,W5,D3,L1,V0,M1} { xC = sdtasasdt0( xp, xp ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (86) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xp ) ==> xC }.
% 5.16/5.55 parent0: (23735) {G0,W5,D3,L1,V0,M1} { sdtasasdt0( xp, xp ) = xC }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (23981) {G0,W5,D3,L1,V0,M1} { sdtasasdt0( xq, xq ) = xD }.
% 5.16/5.55 parent0[0]: (20714) {G0,W5,D3,L1,V0,M1} { xD = sdtasasdt0( xq, xq ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (88) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xq, xq ) ==> xD }.
% 5.16/5.55 parent0: (23981) {G0,W5,D3,L1,V0,M1} { sdtasasdt0( xq, xq ) = xD }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (24228) {G0,W5,D3,L1,V0,M1} { sdtasasdt0( xp, xq ) = xE }.
% 5.16/5.55 parent0[0]: (20716) {G0,W5,D3,L1,V0,M1} { xE = sdtasasdt0( xp, xq ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (90) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xq ) ==> xE }.
% 5.16/5.55 parent0: (24228) {G0,W5,D3,L1,V0,M1} { sdtasasdt0( xp, xq ) = xE }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (105) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0( xE, xE )
% 5.16/5.55 , sdtasdt0( xC, xD ) ) }.
% 5.16/5.55 parent0: (20731) {G0,W7,D3,L1,V0,M1} { ! sdtlseqdt0( sdtasdt0( xE, xE ),
% 5.16/5.55 sdtasdt0( xC, xD ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24483) {G1,W3,D3,L1,V0,M1} { aNaturalNumber0( aDimensionOf0(
% 5.16/5.55 xp ) ) }.
% 5.16/5.55 parent0[0]: (52) {G0,W5,D3,L2,V1,M2} I { ! aVector0( X ), aNaturalNumber0(
% 5.16/5.55 aDimensionOf0( X ) ) }.
% 5.16/5.55 parent1[0]: (73) {G0,W2,D2,L1,V0,M1} I { aVector0( xp ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := xp
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (2604) {G1,W3,D3,L1,V0,M1} R(52,73) { aNaturalNumber0(
% 5.16/5.55 aDimensionOf0( xp ) ) }.
% 5.16/5.55 parent0: (24483) {G1,W3,D3,L1,V0,M1} { aNaturalNumber0( aDimensionOf0( xp
% 5.16/5.55 ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24485) {G1,W6,D4,L1,V0,M1} { iLess0( aDimensionOf0( xp ),
% 5.16/5.55 szszuzczcdt0( aDimensionOf0( xp ) ) ) }.
% 5.16/5.55 parent0[0]: (7) {G0,W6,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), iLess0( X,
% 5.16/5.55 szszuzczcdt0( X ) ) }.
% 5.16/5.55 parent1[0]: (2604) {G1,W3,D3,L1,V0,M1} R(52,73) { aNaturalNumber0(
% 5.16/5.55 aDimensionOf0( xp ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := aDimensionOf0( xp )
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24486) {G1,W5,D3,L1,V0,M1} { iLess0( aDimensionOf0( xp ),
% 5.16/5.55 aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent0[0]: (74) {G0,W6,D4,L1,V0,M1} I { szszuzczcdt0( aDimensionOf0( xp )
% 5.16/5.55 ) ==> aDimensionOf0( xs ) }.
% 5.16/5.55 parent1[0; 3]: (24485) {G1,W6,D4,L1,V0,M1} { iLess0( aDimensionOf0( xp ),
% 5.16/5.55 szszuzczcdt0( aDimensionOf0( xp ) ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (2619) {G2,W5,D3,L1,V0,M1} R(2604,7);d(74) { iLess0(
% 5.16/5.55 aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent0: (24486) {G1,W5,D3,L1,V0,M1} { iLess0( aDimensionOf0( xp ),
% 5.16/5.55 aDimensionOf0( xs ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (24487) {G0,W20,D4,L5,V2,M5} { ! aDimensionOf0( Y ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aVector0( Y ), aDimensionOf0( Y )
% 5.16/5.55 ==> sz00, aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0(
% 5.16/5.55 sziznziztdt0( Y ) ) }.
% 5.16/5.55 parent0[2]: (63) {G0,W20,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y )
% 5.16/5.55 , ! aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) ==> sz00
% 5.16/5.55 , aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.16/5.55 }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 Y := Y
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24496) {G1,W16,D4,L4,V1,M4} { ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aVector0( xs ), aDimensionOf0(
% 5.16/5.55 sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( xs ) ) }.
% 5.16/5.55 parent0[0]: (72) {G0,W4,D3,L1,V0,M1} I { ! aDimensionOf0( xs ) ==> sz00 }.
% 5.16/5.55 parent1[3]: (24487) {G0,W20,D4,L5,V2,M5} { ! aDimensionOf0( Y ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aVector0( Y ), aDimensionOf0( Y )
% 5.16/5.55 ==> sz00, aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0(
% 5.16/5.55 sziznziztdt0( Y ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 X := X
% 5.16/5.55 Y := xs
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24506) {G1,W15,D4,L4,V1,M4} { aDimensionOf0( sziznziztdt0( X ) )
% 5.16/5.55 = aDimensionOf0( xp ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ), ! aVector0( xs ) }.
% 5.16/5.55 parent0[0]: (76) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xs ) ==> xp }.
% 5.16/5.55 parent1[3; 5]: (24496) {G1,W16,D4,L4,V1,M4} { ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aVector0( xs ), aDimensionOf0(
% 5.16/5.55 sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( xs ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24510) {G1,W13,D4,L3,V1,M3} { aDimensionOf0( sziznziztdt0( X
% 5.16/5.55 ) ) = aDimensionOf0( xp ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ) }.
% 5.16/5.55 parent0[3]: (24506) {G1,W15,D4,L4,V1,M4} { aDimensionOf0( sziznziztdt0( X
% 5.16/5.55 ) ) = aDimensionOf0( xp ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ), ! aVector0( xs ) }.
% 5.16/5.55 parent1[0]: (68) {G0,W2,D2,L1,V0,M1} I { aVector0( xs ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (24512) {G1,W13,D4,L3,V1,M3} { ! aDimensionOf0( X ) =
% 5.16/5.55 aDimensionOf0( xs ), aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0(
% 5.16/5.55 xp ), ! aVector0( X ) }.
% 5.16/5.55 parent0[1]: (24510) {G1,W13,D4,L3,V1,M3} { aDimensionOf0( sziznziztdt0( X
% 5.16/5.55 ) ) = aDimensionOf0( xp ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (3227) {G1,W13,D4,L3,V1,M3} R(63,72);d(76);r(68) { ! aVector0
% 5.16/5.55 ( X ), ! aDimensionOf0( X ) = aDimensionOf0( xs ), aDimensionOf0(
% 5.16/5.55 sziznziztdt0( X ) ) ==> aDimensionOf0( xp ) }.
% 5.16/5.55 parent0: (24512) {G1,W13,D4,L3,V1,M3} { ! aDimensionOf0( X ) =
% 5.16/5.55 aDimensionOf0( xs ), aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0(
% 5.16/5.55 xp ), ! aVector0( X ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 1
% 5.16/5.55 1 ==> 2
% 5.16/5.55 2 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (24514) {G0,W20,D4,L5,V2,M5} { ! aDimensionOf0( Y ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aVector0( Y ), aDimensionOf0( Y )
% 5.16/5.55 ==> sz00, aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0(
% 5.16/5.55 sziznziztdt0( Y ) ) }.
% 5.16/5.55 parent0[2]: (63) {G0,W20,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y )
% 5.16/5.55 , ! aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) ==> sz00
% 5.16/5.55 , aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.16/5.55 }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 Y := Y
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (24523) {G1,W13,D4,L3,V1,M3} { ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), aDimensionOf0( sziznziztdt0( X ) )
% 5.16/5.55 ==> aDimensionOf0( xp ) }.
% 5.16/5.55 parent0[1]: (3227) {G1,W13,D4,L3,V1,M3} R(63,72);d(76);r(68) { ! aVector0(
% 5.16/5.55 X ), ! aDimensionOf0( X ) = aDimensionOf0( xs ), aDimensionOf0(
% 5.16/5.55 sziznziztdt0( X ) ) ==> aDimensionOf0( xp ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24529) {G1,W18,D4,L4,V1,M4} { ! aDimensionOf0( xt ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), aDimensionOf0( xt ) ==> sz00,
% 5.16/5.55 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( xt ) )
% 5.16/5.55 }.
% 5.16/5.55 parent0[2]: (24514) {G0,W20,D4,L5,V2,M5} { ! aDimensionOf0( Y ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aVector0( Y ), aDimensionOf0( Y )
% 5.16/5.55 ==> sz00, aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0(
% 5.16/5.55 sziznziztdt0( Y ) ) }.
% 5.16/5.55 parent1[0]: (69) {G0,W2,D2,L1,V0,M1} I { aVector0( xt ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 Y := xt
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24532) {G1,W18,D4,L4,V1,M4} { aDimensionOf0( xs ) ==> sz00, !
% 5.16/5.55 aDimensionOf0( xt ) = aDimensionOf0( X ), ! aVector0( X ), aDimensionOf0
% 5.16/5.55 ( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( xt ) ) }.
% 5.16/5.55 parent0[0]: (71) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==>
% 5.16/5.55 aDimensionOf0( xs ) }.
% 5.16/5.55 parent1[2; 1]: (24529) {G1,W18,D4,L4,V1,M4} { ! aDimensionOf0( xt ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), aDimensionOf0( xt ) ==> sz00,
% 5.16/5.55 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( xt ) )
% 5.16/5.55 }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24534) {G1,W18,D4,L4,V1,M4} { ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), aDimensionOf0( xs ) ==> sz00, ! aVector0( X ),
% 5.16/5.55 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( xt ) )
% 5.16/5.55 }.
% 5.16/5.55 parent0[0]: (71) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==>
% 5.16/5.55 aDimensionOf0( xs ) }.
% 5.16/5.55 parent1[1; 2]: (24532) {G1,W18,D4,L4,V1,M4} { aDimensionOf0( xs ) ==> sz00
% 5.16/5.55 , ! aDimensionOf0( xt ) = aDimensionOf0( X ), ! aVector0( X ),
% 5.16/5.55 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( xt ) )
% 5.16/5.55 }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24535) {G2,W24,D4,L6,V1,M6} { aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( sziznziztdt0( xt ) ), ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), aDimensionOf0( xs ) ==> sz00, ! aVector0( X ) }.
% 5.16/5.55 parent0[2]: (24523) {G1,W13,D4,L3,V1,M3} { ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), aDimensionOf0( sziznziztdt0( X ) )
% 5.16/5.55 ==> aDimensionOf0( xp ) }.
% 5.16/5.55 parent1[3; 1]: (24534) {G1,W18,D4,L4,V1,M4} { ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), aDimensionOf0( xs ) ==> sz00, ! aVector0( X ),
% 5.16/5.55 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( xt ) )
% 5.16/5.55 }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 factor: (24538) {G2,W19,D4,L5,V1,M5} { aDimensionOf0( xp ) = aDimensionOf0
% 5.16/5.55 ( sziznziztdt0( xt ) ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ), aDimensionOf0( xs ) ==> sz00, ! aVector0( X ) }.
% 5.16/5.55 parent0[1, 3]: (24535) {G2,W24,D4,L6,V1,M6} { aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( sziznziztdt0( xt ) ), ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), aDimensionOf0( xs ) ==> sz00, ! aVector0( X ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 factor: (24539) {G2,W17,D4,L4,V1,M4} { aDimensionOf0( xp ) = aDimensionOf0
% 5.16/5.55 ( sziznziztdt0( xt ) ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ), aDimensionOf0( xs ) ==> sz00 }.
% 5.16/5.55 parent0[2, 4]: (24538) {G2,W19,D4,L5,V1,M5} { aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( sziznziztdt0( xt ) ), ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), aDimensionOf0( xs ) ==> sz00, !
% 5.16/5.55 aVector0( X ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24565) {G1,W16,D3,L4,V1,M4} { aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( xq ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ), aDimensionOf0( xs ) ==> sz00 }.
% 5.16/5.55 parent0[0]: (80) {G0,W4,D3,L1,V0,M1} I { sziznziztdt0( xt ) ==> xq }.
% 5.16/5.55 parent1[0; 4]: (24539) {G2,W17,D4,L4,V1,M4} { aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( sziznziztdt0( xt ) ), ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), aDimensionOf0( xs ) ==> sz00 }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24566) {G1,W12,D3,L3,V1,M3} { aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( xq ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ) }.
% 5.16/5.55 parent0[0]: (72) {G0,W4,D3,L1,V0,M1} I { ! aDimensionOf0( xs ) ==> sz00 }.
% 5.16/5.55 parent1[3]: (24565) {G1,W16,D3,L4,V1,M4} { aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( xq ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ), aDimensionOf0( xs ) ==> sz00 }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (24568) {G1,W12,D3,L3,V1,M3} { ! aDimensionOf0( X ) =
% 5.16/5.55 aDimensionOf0( xs ), aDimensionOf0( xp ) = aDimensionOf0( xq ), !
% 5.16/5.55 aVector0( X ) }.
% 5.16/5.55 parent0[1]: (24566) {G1,W12,D3,L3,V1,M3} { aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( xq ), ! aDimensionOf0( xs ) = aDimensionOf0( X ), !
% 5.16/5.55 aVector0( X ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (24569) {G1,W12,D3,L3,V1,M3} { aDimensionOf0( xq ) = aDimensionOf0
% 5.16/5.55 ( xp ), ! aDimensionOf0( X ) = aDimensionOf0( xs ), ! aVector0( X ) }.
% 5.16/5.55 parent0[1]: (24568) {G1,W12,D3,L3,V1,M3} { ! aDimensionOf0( X ) =
% 5.16/5.55 aDimensionOf0( xs ), aDimensionOf0( xp ) = aDimensionOf0( xq ), !
% 5.16/5.55 aVector0( X ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (3233) {G2,W12,D3,L3,V1,M3} R(63,69);d(71);d(71);d(3227);d(80)
% 5.16/5.55 ;r(72) { ! aVector0( X ), ! aDimensionOf0( X ) = aDimensionOf0( xs ),
% 5.16/5.55 aDimensionOf0( xq ) ==> aDimensionOf0( xp ) }.
% 5.16/5.55 parent0: (24569) {G1,W12,D3,L3,V1,M3} { aDimensionOf0( xq ) =
% 5.16/5.55 aDimensionOf0( xp ), ! aDimensionOf0( X ) = aDimensionOf0( xs ), !
% 5.16/5.55 aVector0( X ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 2
% 5.16/5.55 1 ==> 1
% 5.16/5.55 2 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (24570) {G2,W12,D3,L3,V1,M3} { ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), aDimensionOf0( xq ) ==>
% 5.16/5.55 aDimensionOf0( xp ) }.
% 5.16/5.55 parent0[1]: (3233) {G2,W12,D3,L3,V1,M3} R(63,69);d(71);d(71);d(3227);d(80);
% 5.16/5.55 r(72) { ! aVector0( X ), ! aDimensionOf0( X ) = aDimensionOf0( xs ),
% 5.16/5.55 aDimensionOf0( xq ) ==> aDimensionOf0( xp ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqrefl: (24573) {G0,W7,D3,L2,V0,M2} { ! aVector0( xs ), aDimensionOf0( xq
% 5.16/5.55 ) ==> aDimensionOf0( xp ) }.
% 5.16/5.55 parent0[0]: (24570) {G2,W12,D3,L3,V1,M3} { ! aDimensionOf0( xs ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), aDimensionOf0( xq ) ==>
% 5.16/5.55 aDimensionOf0( xp ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := xs
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24574) {G1,W5,D3,L1,V0,M1} { aDimensionOf0( xq ) ==>
% 5.16/5.55 aDimensionOf0( xp ) }.
% 5.16/5.55 parent0[0]: (24573) {G0,W7,D3,L2,V0,M2} { ! aVector0( xs ), aDimensionOf0
% 5.16/5.55 ( xq ) ==> aDimensionOf0( xp ) }.
% 5.16/5.55 parent1[0]: (68) {G0,W2,D2,L1,V0,M1} I { aVector0( xs ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (3285) {G3,W5,D3,L1,V0,M1} Q(3233);r(68) { aDimensionOf0( xq )
% 5.16/5.55 ==> aDimensionOf0( xp ) }.
% 5.16/5.55 parent0: (24574) {G1,W5,D3,L1,V0,M1} { aDimensionOf0( xq ) ==>
% 5.16/5.55 aDimensionOf0( xp ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 0
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqswap: (24577) {G0,W29,D4,L5,V2,M5} { ! aDimensionOf0( Y ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aVector0( Y ), ! iLess0(
% 5.16/5.55 aDimensionOf0( X ), aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0(
% 5.16/5.55 sdtasasdt0( X, Y ), sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ),
% 5.16/5.55 sdtasasdt0( Y, Y ) ) ) }.
% 5.16/5.55 parent0[2]: (70) {G0,W29,D4,L5,V2,M5} I { ! aVector0( X ), ! aVector0( Y )
% 5.16/5.55 , ! aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X )
% 5.16/5.55 , aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.16/5.55 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.16/5.55 ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 X := X
% 5.16/5.55 Y := Y
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24582) {G1,W27,D4,L5,V0,M5} { sdtlseqdt0( sdtasdt0( sdtasasdt0(
% 5.16/5.55 xp, xq ), xE ), sdtasdt0( sdtasasdt0( xp, xp ), sdtasasdt0( xq, xq ) ) )
% 5.16/5.55 , ! aDimensionOf0( xq ) = aDimensionOf0( xp ), ! aVector0( xp ), !
% 5.16/5.55 aVector0( xq ), ! iLess0( aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent0[0]: (90) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xq ) ==> xE }.
% 5.16/5.55 parent1[4; 5]: (24577) {G0,W29,D4,L5,V2,M5} { ! aDimensionOf0( Y ) =
% 5.16/5.55 aDimensionOf0( X ), ! aVector0( X ), ! aVector0( Y ), ! iLess0(
% 5.16/5.55 aDimensionOf0( X ), aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0(
% 5.16/5.55 sdtasasdt0( X, Y ), sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ),
% 5.16/5.55 sdtasasdt0( Y, Y ) ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 X := xp
% 5.16/5.55 Y := xq
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24583) {G1,W25,D4,L5,V0,M5} { sdtlseqdt0( sdtasdt0( xE, xE ),
% 5.16/5.55 sdtasdt0( sdtasasdt0( xp, xp ), sdtasasdt0( xq, xq ) ) ), ! aDimensionOf0
% 5.16/5.55 ( xq ) = aDimensionOf0( xp ), ! aVector0( xp ), ! aVector0( xq ), !
% 5.16/5.55 iLess0( aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent0[0]: (90) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xq ) ==> xE }.
% 5.16/5.55 parent1[0; 2]: (24582) {G1,W27,D4,L5,V0,M5} { sdtlseqdt0( sdtasdt0(
% 5.16/5.55 sdtasasdt0( xp, xq ), xE ), sdtasdt0( sdtasasdt0( xp, xp ), sdtasasdt0(
% 5.16/5.55 xq, xq ) ) ), ! aDimensionOf0( xq ) = aDimensionOf0( xp ), ! aVector0( xp
% 5.16/5.55 ), ! aVector0( xq ), ! iLess0( aDimensionOf0( xp ), aDimensionOf0( xs )
% 5.16/5.55 ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24589) {G2,W25,D4,L5,V0,M5} { ! aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( xp ), sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( sdtasasdt0
% 5.16/5.55 ( xp, xp ), sdtasasdt0( xq, xq ) ) ), ! aVector0( xp ), ! aVector0( xq )
% 5.16/5.55 , ! iLess0( aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent0[0]: (3285) {G3,W5,D3,L1,V0,M1} Q(3233);r(68) { aDimensionOf0( xq )
% 5.16/5.55 ==> aDimensionOf0( xp ) }.
% 5.16/5.55 parent1[1; 2]: (24583) {G1,W25,D4,L5,V0,M5} { sdtlseqdt0( sdtasdt0( xE, xE
% 5.16/5.55 ), sdtasdt0( sdtasasdt0( xp, xp ), sdtasasdt0( xq, xq ) ) ), !
% 5.16/5.55 aDimensionOf0( xq ) = aDimensionOf0( xp ), ! aVector0( xp ), ! aVector0(
% 5.16/5.55 xq ), ! iLess0( aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24590) {G1,W23,D4,L5,V0,M5} { sdtlseqdt0( sdtasdt0( xE, xE ),
% 5.16/5.55 sdtasdt0( xC, sdtasasdt0( xq, xq ) ) ), ! aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( xp ), ! aVector0( xp ), ! aVector0( xq ), ! iLess0(
% 5.16/5.55 aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent0[0]: (86) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xp, xp ) ==> xC }.
% 5.16/5.55 parent1[1; 5]: (24589) {G2,W25,D4,L5,V0,M5} { ! aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( xp ), sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( sdtasasdt0
% 5.16/5.55 ( xp, xp ), sdtasasdt0( xq, xq ) ) ), ! aVector0( xp ), ! aVector0( xq )
% 5.16/5.55 , ! iLess0( aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 paramod: (24591) {G1,W21,D3,L5,V0,M5} { sdtlseqdt0( sdtasdt0( xE, xE ),
% 5.16/5.55 sdtasdt0( xC, xD ) ), ! aDimensionOf0( xp ) = aDimensionOf0( xp ), !
% 5.16/5.55 aVector0( xp ), ! aVector0( xq ), ! iLess0( aDimensionOf0( xp ),
% 5.16/5.55 aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent0[0]: (88) {G0,W5,D3,L1,V0,M1} I { sdtasasdt0( xq, xq ) ==> xD }.
% 5.16/5.55 parent1[0; 6]: (24590) {G1,W23,D4,L5,V0,M5} { sdtlseqdt0( sdtasdt0( xE, xE
% 5.16/5.55 ), sdtasdt0( xC, sdtasasdt0( xq, xq ) ) ), ! aDimensionOf0( xp ) =
% 5.16/5.55 aDimensionOf0( xp ), ! aVector0( xp ), ! aVector0( xq ), ! iLess0(
% 5.16/5.55 aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 eqrefl: (24592) {G0,W16,D3,L4,V0,M4} { sdtlseqdt0( sdtasdt0( xE, xE ),
% 5.16/5.55 sdtasdt0( xC, xD ) ), ! aVector0( xp ), ! aVector0( xq ), ! iLess0(
% 5.16/5.55 aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent0[1]: (24591) {G1,W21,D3,L5,V0,M5} { sdtlseqdt0( sdtasdt0( xE, xE )
% 5.16/5.55 , sdtasdt0( xC, xD ) ), ! aDimensionOf0( xp ) = aDimensionOf0( xp ), !
% 5.16/5.55 aVector0( xp ), ! aVector0( xq ), ! iLess0( aDimensionOf0( xp ),
% 5.16/5.55 aDimensionOf0( xs ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24593) {G1,W14,D3,L3,V0,M3} { sdtlseqdt0( sdtasdt0( xE, xE )
% 5.16/5.55 , sdtasdt0( xC, xD ) ), ! aVector0( xq ), ! iLess0( aDimensionOf0( xp ),
% 5.16/5.55 aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent0[1]: (24592) {G0,W16,D3,L4,V0,M4} { sdtlseqdt0( sdtasdt0( xE, xE )
% 5.16/5.55 , sdtasdt0( xC, xD ) ), ! aVector0( xp ), ! aVector0( xq ), ! iLess0(
% 5.16/5.55 aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 parent1[0]: (73) {G0,W2,D2,L1,V0,M1} I { aVector0( xp ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (4098) {G4,W14,D3,L3,V0,M3} P(90,70);d(3285);d(86);d(88);q;r(
% 5.16/5.55 73) { ! aVector0( xq ), ! iLess0( aDimensionOf0( xp ), aDimensionOf0( xs
% 5.16/5.55 ) ), sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD ) ) }.
% 5.16/5.55 parent0: (24593) {G1,W14,D3,L3,V0,M3} { sdtlseqdt0( sdtasdt0( xE, xE ),
% 5.16/5.55 sdtasdt0( xC, xD ) ), ! aVector0( xq ), ! iLess0( aDimensionOf0( xp ),
% 5.16/5.55 aDimensionOf0( xs ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 0 ==> 2
% 5.16/5.55 1 ==> 0
% 5.16/5.55 2 ==> 1
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24594) {G1,W12,D3,L2,V0,M2} { ! iLess0( aDimensionOf0( xp ),
% 5.16/5.55 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD )
% 5.16/5.55 ) }.
% 5.16/5.55 parent0[0]: (4098) {G4,W14,D3,L3,V0,M3} P(90,70);d(3285);d(86);d(88);q;r(73
% 5.16/5.55 ) { ! aVector0( xq ), ! iLess0( aDimensionOf0( xp ), aDimensionOf0( xs )
% 5.16/5.55 ), sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD ) ) }.
% 5.16/5.55 parent1[0]: (77) {G0,W2,D2,L1,V0,M1} I { aVector0( xq ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24595) {G2,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xE, xE ),
% 5.16/5.55 sdtasdt0( xC, xD ) ) }.
% 5.16/5.55 parent0[0]: (24594) {G1,W12,D3,L2,V0,M2} { ! iLess0( aDimensionOf0( xp ),
% 5.16/5.55 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD )
% 5.16/5.55 ) }.
% 5.16/5.55 parent1[0]: (2619) {G2,W5,D3,L1,V0,M1} R(2604,7);d(74) { iLess0(
% 5.16/5.55 aDimensionOf0( xp ), aDimensionOf0( xs ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 resolution: (24596) {G1,W0,D0,L0,V0,M0} { }.
% 5.16/5.55 parent0[0]: (105) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0( xE, xE )
% 5.16/5.55 , sdtasdt0( xC, xD ) ) }.
% 5.16/5.55 parent1[0]: (24595) {G2,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xE, xE ),
% 5.16/5.55 sdtasdt0( xC, xD ) ) }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 substitution1:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 subsumption: (20620) {G5,W0,D0,L0,V0,M0} S(4098);r(77);r(2619);r(105) {
% 5.16/5.55 }.
% 5.16/5.55 parent0: (24596) {G1,W0,D0,L0,V0,M0} { }.
% 5.16/5.55 substitution0:
% 5.16/5.55 end
% 5.16/5.55 permutation0:
% 5.16/5.55 end
% 5.16/5.55
% 5.16/5.55 Proof check complete!
% 5.16/5.55
% 5.16/5.55 Memory use:
% 5.16/5.55
% 5.16/5.55 space for terms: 263646
% 5.16/5.55 space for clauses: 1155551
% 5.16/5.55
% 5.16/5.55
% 5.16/5.55 clauses generated: 80814
% 5.16/5.55 clauses kept: 20621
% 5.16/5.55 clauses selected: 1212
% 5.16/5.55 clauses deleted: 952
% 5.16/5.55 clauses inuse deleted: 51
% 5.16/5.55
% 5.16/5.55 subsentry: 211497
% 5.16/5.55 literals s-matched: 77318
% 5.16/5.55 literals matched: 59206
% 5.16/5.55 full subsumption: 30661
% 5.16/5.55
% 5.16/5.55 checksum: 369046146
% 5.16/5.55
% 5.16/5.55
% 5.16/5.55 Bliksem ended
%------------------------------------------------------------------------------