TSTP Solution File: RNG070+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG070+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 20:16:16 EDT 2022
% Result : Theorem 5.74s 6.21s
% Output : Refutation 5.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG070+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon May 30 12:24:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13
% 0.72/1.13 { && }.
% 0.72/1.13 { aNaturalNumber0( sz00 ) }.
% 0.72/1.13 { ! aNaturalNumber0( X ), aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.72/1.13 { ! aNaturalNumber0( X ), ! szszuzczcdt0( X ) = sz00 }.
% 0.72/1.13 { ! aNaturalNumber0( X ), X = sz00, aNaturalNumber0( skol1( Y ) ) }.
% 0.72/1.13 { ! aNaturalNumber0( X ), X = sz00, X = szszuzczcdt0( skol1( X ) ) }.
% 0.72/1.13 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! szszuzczcdt0( X ) =
% 0.72/1.13 szszuzczcdt0( Y ), X = Y }.
% 0.72/1.13 { && }.
% 0.72/1.13 { ! aNaturalNumber0( X ), iLess0( X, szszuzczcdt0( X ) ) }.
% 0.72/1.13 { && }.
% 0.72/1.13 { aScalar0( sz0z00 ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtpldt0( X, Y ) ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtasdt0( X, Y ) ) }.
% 0.72/1.13 { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 0.72/1.13 { ! aScalar0( X ), alpha3( X ) }.
% 0.72/1.13 { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00 }.
% 0.72/1.13 { ! alpha3( X ), alpha5( X ) }.
% 0.72/1.13 { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 0.72/1.13 { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X, alpha3( X ) }.
% 0.72/1.13 { ! alpha5( X ), alpha6( X ) }.
% 0.72/1.13 { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) = sz0z00 }.
% 0.72/1.13 { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X ) = sz0z00, alpha5( X ) }.
% 0.72/1.13 { ! alpha6( X ), alpha7( X ) }.
% 0.72/1.13 { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) = sz0z00 }.
% 0.72/1.13 { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) ) = sz0z00, alpha6( X ) }.
% 0.72/1.13 { ! alpha7( X ), alpha8( X ) }.
% 0.72/1.13 { ! alpha7( X ), sdtasdt0( sz0z00, X ) = sz0z00 }.
% 0.72/1.13 { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) = sz0z00, alpha7( X ) }.
% 0.72/1.13 { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 0.72/1.13 { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 0.72/1.13 { ! alpha8( X ), sdtasdt0( X, sz0z00 ) = sz0z00 }.
% 0.72/1.13 { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0( sz0z00, X ) = X, ! sdtasdt0( X,
% 0.72/1.13 sz0z00 ) = sz0z00, alpha8( X ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), alpha4( X, Y, Z ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, Y ) =
% 0.72/1.13 sdtasdt0( Y, X ) }.
% 0.72/1.13 { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X,
% 0.72/1.13 sdtpldt0( Y, Z ) ) }.
% 0.72/1.13 { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.72/1.13 { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X,
% 0.72/1.13 sdtasdt0( Y, Z ) ) }.
% 0.72/1.13 { ! sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ), !
% 0.72/1.13 sdtpldt0( X, Y ) = sdtpldt0( Y, X ), ! sdtasdt0( sdtasdt0( X, Y ), Z ) =
% 0.72/1.13 sdtasdt0( X, sdtasdt0( Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, sdtpldt0
% 0.72/1.13 ( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( sdtpldt0( X
% 0.72/1.13 , Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ),
% 0.72/1.13 sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z, T ) ) = sdtpldt0( sdtpldt0(
% 0.72/1.13 sdtasdt0( X, Z ), sdtasdt0( X, T ) ), sdtpldt0( sdtasdt0( Y, Z ),
% 0.72/1.13 sdtasdt0( Y, T ) ) ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( X, smndt0( Y ) ) = smndt0(
% 0.72/1.13 sdtasdt0( X, Y ) ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), Y ) = smndt0(
% 0.72/1.13 sdtasdt0( X, Y ) ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), smndt0( Y ) ) =
% 0.72/1.13 sdtasdt0( X, Y ) }.
% 0.72/1.13 { && }.
% 0.72/1.13 { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y,
% 0.72/1.13 X ), X = Y }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! sdtlseqdt0( X, Y ),
% 0.72/1.13 ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.72/1.13 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtpldt0( X, Z ),
% 0.72/1.13 sdtpldt0( Y, T ) ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.72/1.13 sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ), ! sdtlseqdt0( Z, T ),
% 0.72/1.13 sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) ) }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X )
% 0.72/1.13 }.
% 0.72/1.13 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.72/1.13 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtpldt0( X, Y ) ) }.
% 0.77/1.51 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.77/1.51 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtasdt0( X, Y ) ) }.
% 0.77/1.51 { ! aScalar0( X ), sdtlseqdt0( sz0z00, sdtasdt0( X, X ) ) }.
% 0.77/1.51 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.77/1.51 ( sz0z00, Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, Y ), X = Y }.
% 0.77/1.51 { && }.
% 0.77/1.51 { ! aVector0( X ), aNaturalNumber0( aDimensionOf0( X ) ) }.
% 0.77/1.51 { ! aVector0( X ), ! aNaturalNumber0( Y ), aScalar0( sdtlbdtrb0( X, Y ) ) }
% 0.77/1.51 .
% 0.77/1.51 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.77/1.51 aVector0( Y ) }.
% 0.77/1.51 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.77/1.51 alpha1( X, Y ) }.
% 0.77/1.51 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! aVector0( Y ), ! alpha1( X
% 0.77/1.51 , Y ), Y = sziznziztdt0( X ) }.
% 0.77/1.51 { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X )
% 0.77/1.51 }.
% 0.77/1.51 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.77/1.51 { ! szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X ), ! alpha2( X, Y
% 0.77/1.51 ), alpha1( X, Y ) }.
% 0.77/1.51 { ! alpha2( X, Y ), ! aNaturalNumber0( Z ), sdtlbdtrb0( Y, Z ) = sdtlbdtrb0
% 0.77/1.51 ( X, Z ) }.
% 0.77/1.51 { aNaturalNumber0( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.77/1.51 { ! sdtlbdtrb0( Y, skol2( X, Y ) ) = sdtlbdtrb0( X, skol2( X, Y ) ), alpha2
% 0.77/1.51 ( X, Y ) }.
% 0.77/1.51 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.77/1.51 ), aDimensionOf0( Y ) = sz00, aDimensionOf0( sziznziztdt0( X ) ) =
% 0.77/1.51 aDimensionOf0( sziznziztdt0( Y ) ) }.
% 0.77/1.51 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.77/1.51 ), aScalar0( sdtasasdt0( X, Y ) ) }.
% 0.77/1.51 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.77/1.51 ), ! aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sz0z00 }.
% 0.77/1.51 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.77/1.51 ), aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0
% 0.77/1.51 ( sziznziztdt0( X ), sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X,
% 0.77/1.51 aDimensionOf0( X ) ), sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 0.77/1.51 { ! aVector0( X ), sdtlseqdt0( sz0z00, sdtasasdt0( X, X ) ) }.
% 0.77/1.51 { aVector0( xs ) }.
% 0.77/1.51 { aVector0( xt ) }.
% 0.77/1.51 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.77/1.51 ), ! iLess0( aDimensionOf0( X ), aDimensionOf0( xs ) ), sdtlseqdt0(
% 0.77/1.51 sdtasdt0( sdtasasdt0( X, Y ), sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0
% 0.77/1.51 ( X, X ), sdtasasdt0( Y, Y ) ) ) }.
% 0.77/1.51 { aDimensionOf0( xs ) = aDimensionOf0( xt ) }.
% 0.77/1.51 { ! aDimensionOf0( xs ) = sz00 }.
% 0.77/1.51 { aVector0( xp ) }.
% 0.77/1.51 { xp = sziznziztdt0( xs ) }.
% 0.77/1.51 { aVector0( xq ) }.
% 0.77/1.51 { xq = sziznziztdt0( xt ) }.
% 0.77/1.51 { aScalar0( xA ) }.
% 0.77/1.51 { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) ) }.
% 0.77/1.51 { aScalar0( xB ) }.
% 0.77/1.51 { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) ) }.
% 0.77/1.51 { aScalar0( xC ) }.
% 0.77/1.51 { xC = sdtasasdt0( xp, xp ) }.
% 0.77/1.51 { aScalar0( xD ) }.
% 0.77/1.51 { xD = sdtasasdt0( xq, xq ) }.
% 0.77/1.51 { aScalar0( xE ) }.
% 0.77/1.51 { xE = sdtasasdt0( xp, xq ) }.
% 0.77/1.51 { aScalar0( xF ) }.
% 0.77/1.51 { xF = sdtasdt0( xA, xA ) }.
% 0.77/1.51 { aScalar0( xG ) }.
% 0.77/1.51 { xG = sdtasdt0( xB, xB ) }.
% 0.77/1.51 { aScalar0( xH ) }.
% 0.77/1.51 { xH = sdtasdt0( xA, xB ) }.
% 0.77/1.51 { aScalar0( xR ) }.
% 0.77/1.51 { xR = sdtasdt0( xC, xG ) }.
% 0.77/1.51 { aScalar0( xP ) }.
% 0.77/1.51 { xP = sdtasdt0( xE, xH ) }.
% 0.77/1.51 { aScalar0( xS ) }.
% 0.77/1.51 { xS = sdtasdt0( xF, xD ) }.
% 0.77/1.51 { aScalar0( xN ) }.
% 0.77/1.51 { xN = sdtasdt0( xR, xS ) }.
% 0.77/1.51 { sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD ) ) }.
% 0.77/1.51 { sdtlseqdt0( sdtasdt0( xP, xP ), xN ) }.
% 0.77/1.51 { sdtlseqdt0( sdtpldt0( sdtasdt0( xP, xP ), sdtasdt0( xP, xP ) ), sdtpldt0
% 0.77/1.51 ( sdtasdt0( xR, xR ), sdtasdt0( xS, xS ) ) ) }.
% 0.77/1.51 { sdtlseqdt0( sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0( xP, xP ) ), sdtasdt0
% 0.77/1.51 ( sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) ) ) }.
% 0.77/1.51 { ! sdtlseqdt0( sdtpldt0( xP, xP ), sdtpldt0( xR, xS ) ) }.
% 0.77/1.51 { ! sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP, xP ) ) }.
% 0.77/1.51
% 0.77/1.51 percentage equality = 0.290196, percentage horn = 0.915888
% 0.77/1.51 This is a problem with some equality
% 0.77/1.51
% 0.77/1.51
% 0.77/1.51
% 0.77/1.51 Options Used:
% 0.77/1.51
% 0.77/1.51 useres = 1
% 0.77/1.51 useparamod = 1
% 0.77/1.51 useeqrefl = 1
% 0.77/1.51 useeqfact = 1
% 0.77/1.51 usefactor = 1
% 0.77/1.51 usesimpsplitting = 0
% 0.77/1.51 usesimpdemod = 5
% 0.77/1.51 usesimpres = 3
% 0.77/1.51
% 0.77/1.51 resimpinuse = 1000
% 0.77/1.51 resimpclauses = 20000
% 0.77/1.51 substype = eqrewr
% 0.77/1.51 backwardsubs = 1
% 0.77/1.51 selectoldest = 5
% 0.77/1.51
% 0.77/1.51 litorderings [0] = split
% 0.77/1.51 litorderings [1] = extend the termordering, first sorting on arguments
% 5.74/6.21
% 5.74/6.21 termordering = kbo
% 5.74/6.21
% 5.74/6.21 litapriori = 0
% 5.74/6.21 termapriori = 1
% 5.74/6.21 litaposteriori = 0
% 5.74/6.21 termaposteriori = 0
% 5.74/6.21 demodaposteriori = 0
% 5.74/6.21 ordereqreflfact = 0
% 5.74/6.21
% 5.74/6.21 litselect = negord
% 5.74/6.21
% 5.74/6.21 maxweight = 15
% 5.74/6.21 maxdepth = 30000
% 5.74/6.21 maxlength = 115
% 5.74/6.21 maxnrvars = 195
% 5.74/6.21 excuselevel = 1
% 5.74/6.21 increasemaxweight = 1
% 5.74/6.21
% 5.74/6.21 maxselected = 10000000
% 5.74/6.21 maxnrclauses = 10000000
% 5.74/6.21
% 5.74/6.21 showgenerated = 0
% 5.74/6.21 showkept = 0
% 5.74/6.21 showselected = 0
% 5.74/6.21 showdeleted = 0
% 5.74/6.21 showresimp = 1
% 5.74/6.21 showstatus = 2000
% 5.74/6.21
% 5.74/6.21 prologoutput = 0
% 5.74/6.21 nrgoals = 5000000
% 5.74/6.21 totalproof = 1
% 5.74/6.21
% 5.74/6.21 Symbols occurring in the translation:
% 5.74/6.21
% 5.74/6.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.74/6.21 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 5.74/6.21 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 5.74/6.21 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 5.74/6.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.74/6.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.74/6.21 aNaturalNumber0 [36, 1] (w:1, o:33, a:1, s:1, b:0),
% 5.74/6.21 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 5.74/6.21 szszuzczcdt0 [38, 1] (w:1, o:34, a:1, s:1, b:0),
% 5.74/6.21 iLess0 [40, 2] (w:1, o:70, a:1, s:1, b:0),
% 5.74/6.21 aScalar0 [41, 1] (w:1, o:35, a:1, s:1, b:0),
% 5.74/6.21 sz0z00 [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 5.74/6.21 sdtpldt0 [43, 2] (w:1, o:71, a:1, s:1, b:0),
% 5.74/6.21 sdtasdt0 [44, 2] (w:1, o:72, a:1, s:1, b:0),
% 5.74/6.21 smndt0 [45, 1] (w:1, o:36, a:1, s:1, b:0),
% 5.74/6.21 sdtlseqdt0 [48, 2] (w:1, o:73, a:1, s:1, b:0),
% 5.74/6.21 aVector0 [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 5.74/6.21 aDimensionOf0 [50, 1] (w:1, o:38, a:1, s:1, b:0),
% 5.74/6.21 sdtlbdtrb0 [51, 2] (w:1, o:74, a:1, s:1, b:0),
% 5.74/6.21 sziznziztdt0 [52, 1] (w:1, o:39, a:1, s:1, b:0),
% 5.74/6.21 sdtasasdt0 [53, 2] (w:1, o:75, a:1, s:1, b:0),
% 5.74/6.21 xs [54, 0] (w:1, o:12, a:1, s:1, b:0),
% 5.74/6.21 xt [55, 0] (w:1, o:13, a:1, s:1, b:0),
% 5.74/6.21 xp [56, 0] (w:1, o:14, a:1, s:1, b:0),
% 5.74/6.21 xq [57, 0] (w:1, o:15, a:1, s:1, b:0),
% 5.74/6.21 xA [58, 0] (w:1, o:16, a:1, s:1, b:0),
% 5.74/6.21 xB [59, 0] (w:1, o:17, a:1, s:1, b:0),
% 5.74/6.21 xC [60, 0] (w:1, o:18, a:1, s:1, b:0),
% 5.74/6.21 xD [61, 0] (w:1, o:19, a:1, s:1, b:0),
% 5.74/6.21 xE [62, 0] (w:1, o:20, a:1, s:1, b:0),
% 5.74/6.21 xF [63, 0] (w:1, o:21, a:1, s:1, b:0),
% 5.74/6.21 xG [64, 0] (w:1, o:22, a:1, s:1, b:0),
% 5.74/6.21 xH [65, 0] (w:1, o:23, a:1, s:1, b:0),
% 5.74/6.21 xR [66, 0] (w:1, o:24, a:1, s:1, b:0),
% 5.74/6.21 xP [67, 0] (w:1, o:25, a:1, s:1, b:0),
% 5.74/6.21 xS [68, 0] (w:1, o:26, a:1, s:1, b:0),
% 5.74/6.21 xN [69, 0] (w:1, o:27, a:1, s:1, b:0),
% 5.74/6.21 alpha1 [70, 2] (w:1, o:76, a:1, s:1, b:1),
% 5.74/6.21 alpha2 [71, 2] (w:1, o:77, a:1, s:1, b:1),
% 5.74/6.21 alpha3 [72, 1] (w:1, o:40, a:1, s:1, b:1),
% 5.74/6.21 alpha4 [73, 3] (w:1, o:79, a:1, s:1, b:1),
% 5.74/6.21 alpha5 [74, 1] (w:1, o:41, a:1, s:1, b:1),
% 5.74/6.21 alpha6 [75, 1] (w:1, o:42, a:1, s:1, b:1),
% 5.74/6.21 alpha7 [76, 1] (w:1, o:43, a:1, s:1, b:1),
% 5.74/6.21 alpha8 [77, 1] (w:1, o:44, a:1, s:1, b:1),
% 5.74/6.21 skol1 [78, 1] (w:1, o:45, a:1, s:1, b:1),
% 5.74/6.21 skol2 [79, 2] (w:1, o:78, a:1, s:1, b:1).
% 5.74/6.21
% 5.74/6.21
% 5.74/6.21 Starting Search:
% 5.74/6.21
% 5.74/6.21 *** allocated 15000 integers for clauses
% 5.74/6.21 *** allocated 22500 integers for clauses
% 5.74/6.21 *** allocated 33750 integers for clauses
% 5.74/6.21 *** allocated 50625 integers for clauses
% 5.74/6.21 *** allocated 15000 integers for termspace/termends
% 5.74/6.21 *** allocated 75937 integers for clauses
% 5.74/6.21 *** allocated 22500 integers for termspace/termends
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 *** allocated 113905 integers for clauses
% 5.74/6.21 *** allocated 33750 integers for termspace/termends
% 5.74/6.21 *** allocated 170857 integers for clauses
% 5.74/6.21 *** allocated 50625 integers for termspace/termends
% 5.74/6.21
% 5.74/6.21 Intermediate Status:
% 5.74/6.21 Generated: 5883
% 5.74/6.21 Kept: 2084
% 5.74/6.21 Inuse: 199
% 5.74/6.21 Deleted: 4
% 5.74/6.21 Deletedinuse: 2
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 *** allocated 75937 integers for termspace/termends
% 5.74/6.21 *** allocated 256285 integers for clauses
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21
% 5.74/6.21 Intermediate Status:
% 5.74/6.21 Generated: 14588
% 5.74/6.21 Kept: 4084
% 5.74/6.21 Inuse: 355
% 5.74/6.21 Deleted: 8
% 5.74/6.21 Deletedinuse: 5
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 *** allocated 113905 integers for termspace/termends
% 5.74/6.21 *** allocated 384427 integers for clauses
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21
% 5.74/6.21 Intermediate Status:
% 5.74/6.21 Generated: 23908
% 5.74/6.21 Kept: 6094
% 5.74/6.21 Inuse: 541
% 5.74/6.21 Deleted: 18
% 5.74/6.21 Deletedinuse: 13
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 *** allocated 576640 integers for clauses
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 *** allocated 170857 integers for termspace/termends
% 5.74/6.21
% 5.74/6.21 Intermediate Status:
% 5.74/6.21 Generated: 40112
% 5.74/6.21 Kept: 8097
% 5.74/6.21 Inuse: 809
% 5.74/6.21 Deleted: 56
% 5.74/6.21 Deletedinuse: 16
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 *** allocated 864960 integers for clauses
% 5.74/6.21
% 5.74/6.21 Intermediate Status:
% 5.74/6.21 Generated: 52435
% 5.74/6.21 Kept: 10098
% 5.74/6.21 Inuse: 912
% 5.74/6.21 Deleted: 72
% 5.74/6.21 Deletedinuse: 26
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 *** allocated 256285 integers for termspace/termends
% 5.74/6.21
% 5.74/6.21 Intermediate Status:
% 5.74/6.21 Generated: 63582
% 5.74/6.21 Kept: 12113
% 5.74/6.21 Inuse: 1052
% 5.74/6.21 Deleted: 104
% 5.74/6.21 Deletedinuse: 52
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21
% 5.74/6.21 Intermediate Status:
% 5.74/6.21 Generated: 68052
% 5.74/6.21 Kept: 14280
% 5.74/6.21 Inuse: 1119
% 5.74/6.21 Deleted: 109
% 5.74/6.21 Deletedinuse: 52
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 *** allocated 1297440 integers for clauses
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21
% 5.74/6.21 Intermediate Status:
% 5.74/6.21 Generated: 72793
% 5.74/6.21 Kept: 16314
% 5.74/6.21 Inuse: 1155
% 5.74/6.21 Deleted: 109
% 5.74/6.21 Deletedinuse: 52
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21
% 5.74/6.21 Intermediate Status:
% 5.74/6.21 Generated: 77264
% 5.74/6.21 Kept: 18396
% 5.74/6.21 Inuse: 1189
% 5.74/6.21 Deleted: 109
% 5.74/6.21 Deletedinuse: 52
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 Resimplifying inuse:
% 5.74/6.21 Done
% 5.74/6.21
% 5.74/6.21 *** allocated 384427 integers for termspace/termends
% 5.74/6.21 Resimplifying clauses:
% 5.74/6.21
% 5.74/6.21 Bliksems!, er is een bewijs:
% 5.74/6.21 % SZS status Theorem
% 5.74/6.21 % SZS output start Refutation
% 5.74/6.21
% 5.74/6.21 (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.74/6.21 sdtpldt0( X, Y ) ) }.
% 5.74/6.21 (47) {G0,W10,D2,L4,V2,M4} I { ! aScalar0( X ), ! aScalar0( Y ), sdtlseqdt0
% 5.74/6.21 ( X, Y ), sdtlseqdt0( Y, X ) }.
% 5.74/6.21 (93) {G0,W2,D2,L1,V0,M1} I { aScalar0( xR ) }.
% 5.74/6.21 (95) {G0,W2,D2,L1,V0,M1} I { aScalar0( xP ) }.
% 5.74/6.21 (97) {G0,W2,D2,L1,V0,M1} I { aScalar0( xS ) }.
% 5.74/6.21 (105) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtpldt0( xP, xP ), sdtpldt0(
% 5.74/6.21 xR, xS ) ) }.
% 5.74/6.21 (106) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0(
% 5.74/6.21 xP, xP ) ) }.
% 5.74/6.21 (107) {G1,W6,D3,L2,V1,M2} F(9) { ! aScalar0( X ), aScalar0( sdtpldt0( X, X
% 5.74/6.21 ) ) }.
% 5.74/6.21 (306) {G1,W6,D3,L2,V1,M2} R(9,93) { ! aScalar0( X ), aScalar0( sdtpldt0( xR
% 5.74/6.21 , X ) ) }.
% 5.74/6.21 (4560) {G1,W8,D3,L2,V0,M2} R(105,47);r(106) { ! aScalar0( sdtpldt0( xP, xP
% 5.74/6.21 ) ), ! aScalar0( sdtpldt0( xR, xS ) ) }.
% 5.74/6.21 (4651) {G2,W4,D3,L1,V0,M1} R(107,95) { aScalar0( sdtpldt0( xP, xP ) ) }.
% 5.74/6.21 (18026) {G2,W4,D3,L1,V0,M1} R(306,97) { aScalar0( sdtpldt0( xR, xS ) ) }.
% 5.74/6.21 (20410) {G3,W0,D0,L0,V0,M0} S(4560);r(4651);r(18026) { }.
% 5.74/6.21
% 5.74/6.21
% 5.74/6.21 % SZS output end Refutation
% 5.74/6.21 found a proof!
% 5.74/6.21
% 5.74/6.21
% 5.74/6.21 Unprocessed initial clauses:
% 5.74/6.21
% 5.74/6.21 (20412) {G0,W1,D1,L1,V0,M1} { && }.
% 5.74/6.21 (20413) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 5.74/6.21 (20414) {G0,W5,D3,L2,V1,M2} { ! aNaturalNumber0( X ), aNaturalNumber0(
% 5.74/6.21 szszuzczcdt0( X ) ) }.
% 5.74/6.21 (20415) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! szszuzczcdt0( X )
% 5.74/6.21 = sz00 }.
% 5.74/6.21 (20416) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), X = sz00,
% 5.74/6.21 aNaturalNumber0( skol1( Y ) ) }.
% 5.74/6.21 (20417) {G0,W10,D4,L3,V1,M3} { ! aNaturalNumber0( X ), X = sz00, X =
% 5.74/6.21 szszuzczcdt0( skol1( X ) ) }.
% 5.74/6.21 (20418) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 5.74/6.21 Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 5.74/6.21 (20419) {G0,W1,D1,L1,V0,M1} { && }.
% 5.74/6.21 (20420) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), iLess0( X,
% 5.74/6.21 szszuzczcdt0( X ) ) }.
% 5.74/6.21 (20421) {G0,W1,D1,L1,V0,M1} { && }.
% 5.74/6.21 (20422) {G0,W2,D2,L1,V0,M1} { aScalar0( sz0z00 ) }.
% 5.74/6.21 (20423) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.74/6.21 sdtpldt0( X, Y ) ) }.
% 5.74/6.21 (20424) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.74/6.21 sdtasdt0( X, Y ) ) }.
% 5.74/6.21 (20425) {G0,W5,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 5.74/6.21 (20426) {G0,W4,D2,L2,V1,M2} { ! aScalar0( X ), alpha3( X ) }.
% 5.74/6.21 (20427) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00
% 5.74/6.21 }.
% 5.74/6.21 (20428) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 5.74/6.21 (20429) {G0,W7,D4,L2,V1,M2} { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 5.74/6.21 (20430) {G0,W9,D4,L3,V1,M3} { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X,
% 5.74/6.21 alpha3( X ) }.
% 5.74/6.21 (20431) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha6( X ) }.
% 5.74/6.21 (20432) {G0,W8,D4,L2,V1,M2} { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) =
% 5.74/6.21 sz0z00 }.
% 5.74/6.21 (20433) {G0,W10,D4,L3,V1,M3} { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X )
% 5.74/6.21 = sz0z00, alpha5( X ) }.
% 5.74/6.21 (20434) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha7( X ) }.
% 5.74/6.21 (20435) {G0,W8,D4,L2,V1,M2} { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) =
% 5.74/6.21 sz0z00 }.
% 5.74/6.21 (20436) {G0,W10,D4,L3,V1,M3} { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) )
% 5.74/6.21 = sz0z00, alpha6( X ) }.
% 5.74/6.21 (20437) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha8( X ) }.
% 5.74/6.21 (20438) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), sdtasdt0( sz0z00, X ) =
% 5.74/6.21 sz0z00 }.
% 5.74/6.21 (20439) {G0,W9,D3,L3,V1,M3} { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) =
% 5.74/6.21 sz0z00, alpha7( X ) }.
% 5.74/6.21 (20440) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 5.74/6.21 (20441) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 5.74/6.21 (20442) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtasdt0( X, sz0z00 ) =
% 5.74/6.21 sz0z00 }.
% 5.74/6.21 (20443) {G0,W17,D3,L4,V1,M4} { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0(
% 5.74/6.21 sz0z00, X ) = X, ! sdtasdt0( X, sz0z00 ) = sz0z00, alpha8( X ) }.
% 5.74/6.21 (20444) {G0,W10,D2,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 aScalar0( Z ), alpha4( X, Y, Z ) }.
% 5.74/6.21 (20445) {G0,W13,D3,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 aScalar0( Z ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 5.74/6.21 (20446) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X
% 5.74/6.21 , Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 5.74/6.21 (20447) {G0,W11,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) =
% 5.74/6.21 sdtpldt0( Y, X ) }.
% 5.74/6.21 (20448) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X
% 5.74/6.21 , Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 5.74/6.21 (20449) {G0,W33,D4,L4,V3,M4} { ! sdtpldt0( sdtpldt0( X, Y ), Z ) =
% 5.74/6.21 sdtpldt0( X, sdtpldt0( Y, Z ) ), ! sdtpldt0( X, Y ) = sdtpldt0( Y, X ), !
% 5.74/6.21 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ),
% 5.74/6.21 alpha4( X, Y, Z ) }.
% 5.74/6.21 (20450) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 aScalar0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y
% 5.74/6.21 ), sdtasdt0( X, Z ) ) }.
% 5.74/6.21 (20451) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 aScalar0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z
% 5.74/6.21 ), sdtasdt0( Y, Z ) ) }.
% 5.74/6.21 (20452) {G0,W31,D5,L5,V4,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 aScalar0( Z ), ! aScalar0( T ), sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z,
% 5.74/6.21 T ) ) = sdtpldt0( sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( X, T ) ),
% 5.74/6.21 sdtpldt0( sdtasdt0( Y, Z ), sdtasdt0( Y, T ) ) ) }.
% 5.74/6.21 (20453) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.74/6.21 ( X, smndt0( Y ) ) = smndt0( sdtasdt0( X, Y ) ) }.
% 5.74/6.21 (20454) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.74/6.21 ( smndt0( X ), Y ) = smndt0( sdtasdt0( X, Y ) ) }.
% 5.74/6.21 (20455) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.74/6.21 ( smndt0( X ), smndt0( Y ) ) = sdtasdt0( X, Y ) }.
% 5.74/6.21 (20456) {G0,W1,D1,L1,V0,M1} { && }.
% 5.74/6.21 (20457) {G0,W5,D2,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 5.74/6.21 (20458) {G0,W13,D2,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 5.74/6.21 (20459) {G0,W15,D2,L6,V3,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 aScalar0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 5.74/6.21 , Z ) }.
% 5.74/6.21 (20460) {G0,W21,D3,L7,V4,M7} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T
% 5.74/6.21 ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, T ) ) }.
% 5.74/6.21 (20461) {G0,W24,D3,L8,V4,M8} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 5.74/6.21 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 5.74/6.21 ( Y, T ) ) }.
% 5.74/6.21 (20462) {G0,W10,D2,L4,V2,M4} { ! aScalar0( X ), ! aScalar0( Y ),
% 5.74/6.21 sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 5.74/6.21 (20463) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 5.74/6.21 sdtpldt0( X, Y ) ) }.
% 5.74/6.21 (20464) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 5.74/6.21 sdtasdt0( X, Y ) ) }.
% 5.74/6.21 (20465) {G0,W7,D3,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( sz0z00,
% 5.74/6.21 sdtasdt0( X, X ) ) }.
% 5.74/6.21 (20466) {G0,W20,D3,L6,V2,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.74/6.21 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), ! sdtasdt0( X, X ) =
% 5.74/6.21 sdtasdt0( Y, Y ), X = Y }.
% 5.74/6.21 (20467) {G0,W1,D1,L1,V0,M1} { && }.
% 5.74/6.21 (20468) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 5.74/6.21 aDimensionOf0( X ) ) }.
% 5.74/6.21 (20469) {G0,W8,D3,L3,V2,M3} { ! aVector0( X ), ! aNaturalNumber0( Y ),
% 5.74/6.21 aScalar0( sdtlbdtrb0( X, Y ) ) }.
% 5.74/6.21 (20470) {G0,W12,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.74/6.21 , ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 5.74/6.21 (20471) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.74/6.21 , ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 5.74/6.21 (20472) {G0,W15,D3,L5,V2,M5} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.74/6.21 , ! aVector0( Y ), ! alpha1( X, Y ), Y = sziznziztdt0( X ) }.
% 5.74/6.21 (20473) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), szszuzczcdt0(
% 5.74/6.21 aDimensionOf0( Y ) ) = aDimensionOf0( X ) }.
% 5.74/6.21 (20474) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 5.74/6.21 (20475) {G0,W12,D4,L3,V2,M3} { ! szszuzczcdt0( aDimensionOf0( Y ) ) =
% 5.74/6.21 aDimensionOf0( X ), ! alpha2( X, Y ), alpha1( X, Y ) }.
% 5.74/6.21 (20476) {G0,W12,D3,L3,V3,M3} { ! alpha2( X, Y ), ! aNaturalNumber0( Z ),
% 5.74/6.21 sdtlbdtrb0( Y, Z ) = sdtlbdtrb0( X, Z ) }.
% 5.74/6.21 (20477) {G0,W7,D3,L2,V4,M2} { aNaturalNumber0( skol2( Z, T ) ), alpha2( X
% 5.74/6.21 , Y ) }.
% 5.74/6.21 (20478) {G0,W14,D4,L2,V2,M2} { ! sdtlbdtrb0( Y, skol2( X, Y ) ) =
% 5.74/6.21 sdtlbdtrb0( X, skol2( X, Y ) ), alpha2( X, Y ) }.
% 5.74/6.21 (20479) {G0,W20,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.74/6.21 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.74/6.21 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.74/6.21 }.
% 5.74/6.21 (20480) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), ! aVector0( Y ), !
% 5.74/6.21 aDimensionOf0( X ) = aDimensionOf0( Y ), aScalar0( sdtasasdt0( X, Y ) )
% 5.74/6.21 }.
% 5.74/6.21 (20481) {G0,W18,D3,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.74/6.21 aDimensionOf0( X ) = aDimensionOf0( Y ), ! aDimensionOf0( Y ) = sz00,
% 5.74/6.21 sdtasasdt0( X, Y ) = sz0z00 }.
% 5.74/6.21 (20482) {G0,W32,D6,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.74/6.21 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.74/6.21 sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0( sziznziztdt0( X ),
% 5.74/6.21 sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X, aDimensionOf0( X ) ),
% 5.74/6.21 sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 5.74/6.21 (20483) {G0,W7,D3,L2,V1,M2} { ! aVector0( X ), sdtlseqdt0( sz0z00,
% 5.74/6.21 sdtasasdt0( X, X ) ) }.
% 5.74/6.21 (20484) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 5.74/6.21 (20485) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 5.74/6.21 (20486) {G0,W29,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.74/6.21 aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X ),
% 5.74/6.21 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.74/6.21 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.74/6.21 ) }.
% 5.74/6.21 (20487) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) = aDimensionOf0( xt )
% 5.74/6.21 }.
% 5.74/6.21 (20488) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xs ) = sz00 }.
% 5.74/6.21 (20489) {G0,W2,D2,L1,V0,M1} { aVector0( xp ) }.
% 5.74/6.21 (20490) {G0,W4,D3,L1,V0,M1} { xp = sziznziztdt0( xs ) }.
% 5.74/6.21 (20491) {G0,W2,D2,L1,V0,M1} { aVector0( xq ) }.
% 5.74/6.21 (20492) {G0,W4,D3,L1,V0,M1} { xq = sziznziztdt0( xt ) }.
% 5.74/6.21 (20493) {G0,W2,D2,L1,V0,M1} { aScalar0( xA ) }.
% 5.74/6.21 (20494) {G0,W6,D4,L1,V0,M1} { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) )
% 5.74/6.21 }.
% 5.74/6.21 (20495) {G0,W2,D2,L1,V0,M1} { aScalar0( xB ) }.
% 5.74/6.21 (20496) {G0,W6,D4,L1,V0,M1} { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) )
% 5.74/6.21 }.
% 5.74/6.21 (20497) {G0,W2,D2,L1,V0,M1} { aScalar0( xC ) }.
% 5.74/6.21 (20498) {G0,W5,D3,L1,V0,M1} { xC = sdtasasdt0( xp, xp ) }.
% 5.74/6.21 (20499) {G0,W2,D2,L1,V0,M1} { aScalar0( xD ) }.
% 5.74/6.21 (20500) {G0,W5,D3,L1,V0,M1} { xD = sdtasasdt0( xq, xq ) }.
% 5.74/6.21 (20501) {G0,W2,D2,L1,V0,M1} { aScalar0( xE ) }.
% 5.74/6.21 (20502) {G0,W5,D3,L1,V0,M1} { xE = sdtasasdt0( xp, xq ) }.
% 5.74/6.21 (20503) {G0,W2,D2,L1,V0,M1} { aScalar0( xF ) }.
% 5.74/6.21 (20504) {G0,W5,D3,L1,V0,M1} { xF = sdtasdt0( xA, xA ) }.
% 5.74/6.21 (20505) {G0,W2,D2,L1,V0,M1} { aScalar0( xG ) }.
% 5.74/6.21 (20506) {G0,W5,D3,L1,V0,M1} { xG = sdtasdt0( xB, xB ) }.
% 5.83/6.22 (20507) {G0,W2,D2,L1,V0,M1} { aScalar0( xH ) }.
% 5.83/6.22 (20508) {G0,W5,D3,L1,V0,M1} { xH = sdtasdt0( xA, xB ) }.
% 5.83/6.22 (20509) {G0,W2,D2,L1,V0,M1} { aScalar0( xR ) }.
% 5.83/6.22 (20510) {G0,W5,D3,L1,V0,M1} { xR = sdtasdt0( xC, xG ) }.
% 5.83/6.22 (20511) {G0,W2,D2,L1,V0,M1} { aScalar0( xP ) }.
% 5.83/6.22 (20512) {G0,W5,D3,L1,V0,M1} { xP = sdtasdt0( xE, xH ) }.
% 5.83/6.22 (20513) {G0,W2,D2,L1,V0,M1} { aScalar0( xS ) }.
% 5.83/6.22 (20514) {G0,W5,D3,L1,V0,M1} { xS = sdtasdt0( xF, xD ) }.
% 5.83/6.22 (20515) {G0,W2,D2,L1,V0,M1} { aScalar0( xN ) }.
% 5.83/6.22 (20516) {G0,W5,D3,L1,V0,M1} { xN = sdtasdt0( xR, xS ) }.
% 5.83/6.22 (20517) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC
% 5.83/6.22 , xD ) ) }.
% 5.83/6.22 (20518) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xP, xP ), xN ) }.
% 5.83/6.22 (20519) {G0,W15,D4,L1,V0,M1} { sdtlseqdt0( sdtpldt0( sdtasdt0( xP, xP ),
% 5.83/6.22 sdtasdt0( xP, xP ) ), sdtpldt0( sdtasdt0( xR, xR ), sdtasdt0( xS, xS ) )
% 5.83/6.22 ) }.
% 5.83/6.22 (20520) {G0,W15,D4,L1,V0,M1} { sdtlseqdt0( sdtasdt0( sdtpldt0( xP, xP ),
% 5.83/6.22 sdtpldt0( xP, xP ) ), sdtasdt0( sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) )
% 5.83/6.22 ) }.
% 5.83/6.22 (20521) {G0,W7,D3,L1,V0,M1} { ! sdtlseqdt0( sdtpldt0( xP, xP ), sdtpldt0(
% 5.83/6.22 xR, xS ) ) }.
% 5.83/6.22 (20522) {G0,W7,D3,L1,V0,M1} { ! sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0(
% 5.83/6.22 xP, xP ) ) }.
% 5.83/6.22
% 5.83/6.22
% 5.83/6.22 Total Proof:
% 5.83/6.22
% 5.83/6.22 subsumption: (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y ),
% 5.83/6.22 aScalar0( sdtpldt0( X, Y ) ) }.
% 5.83/6.22 parent0: (20423) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ),
% 5.83/6.22 aScalar0( sdtpldt0( X, Y ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 X := X
% 5.83/6.22 Y := Y
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 1 ==> 1
% 5.83/6.22 2 ==> 2
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (47) {G0,W10,D2,L4,V2,M4} I { ! aScalar0( X ), ! aScalar0( Y )
% 5.83/6.22 , sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 5.83/6.22 parent0: (20462) {G0,W10,D2,L4,V2,M4} { ! aScalar0( X ), ! aScalar0( Y ),
% 5.83/6.22 sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 X := X
% 5.83/6.22 Y := Y
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 1 ==> 1
% 5.83/6.22 2 ==> 2
% 5.83/6.22 3 ==> 3
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (93) {G0,W2,D2,L1,V0,M1} I { aScalar0( xR ) }.
% 5.83/6.22 parent0: (20509) {G0,W2,D2,L1,V0,M1} { aScalar0( xR ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (95) {G0,W2,D2,L1,V0,M1} I { aScalar0( xP ) }.
% 5.83/6.22 parent0: (20511) {G0,W2,D2,L1,V0,M1} { aScalar0( xP ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (97) {G0,W2,D2,L1,V0,M1} I { aScalar0( xS ) }.
% 5.83/6.22 parent0: (20513) {G0,W2,D2,L1,V0,M1} { aScalar0( xS ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (105) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtpldt0( xP, xP )
% 5.83/6.22 , sdtpldt0( xR, xS ) ) }.
% 5.83/6.22 parent0: (20521) {G0,W7,D3,L1,V0,M1} { ! sdtlseqdt0( sdtpldt0( xP, xP ),
% 5.83/6.22 sdtpldt0( xR, xS ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (106) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtpldt0( xR, xS )
% 5.83/6.22 , sdtpldt0( xP, xP ) ) }.
% 5.83/6.22 parent0: (20522) {G0,W7,D3,L1,V0,M1} { ! sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.83/6.22 sdtpldt0( xP, xP ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 factor: (21944) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( sdtpldt0
% 5.83/6.22 ( X, X ) ) }.
% 5.83/6.22 parent0[0, 1]: (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y )
% 5.83/6.22 , aScalar0( sdtpldt0( X, Y ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 X := X
% 5.83/6.22 Y := X
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (107) {G1,W6,D3,L2,V1,M2} F(9) { ! aScalar0( X ), aScalar0(
% 5.83/6.22 sdtpldt0( X, X ) ) }.
% 5.83/6.22 parent0: (21944) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( sdtpldt0
% 5.83/6.22 ( X, X ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 X := X
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 1 ==> 1
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 resolution: (21945) {G1,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0(
% 5.83/6.22 sdtpldt0( xR, X ) ) }.
% 5.83/6.22 parent0[0]: (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y ),
% 5.83/6.22 aScalar0( sdtpldt0( X, Y ) ) }.
% 5.83/6.22 parent1[0]: (93) {G0,W2,D2,L1,V0,M1} I { aScalar0( xR ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 X := xR
% 5.83/6.22 Y := X
% 5.83/6.22 end
% 5.83/6.22 substitution1:
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (306) {G1,W6,D3,L2,V1,M2} R(9,93) { ! aScalar0( X ), aScalar0
% 5.83/6.22 ( sdtpldt0( xR, X ) ) }.
% 5.83/6.22 parent0: (21945) {G1,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( sdtpldt0
% 5.83/6.22 ( xR, X ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 X := X
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 1 ==> 1
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 resolution: (21947) {G1,W15,D3,L3,V0,M3} { ! aScalar0( sdtpldt0( xP, xP )
% 5.83/6.22 ), ! aScalar0( sdtpldt0( xR, xS ) ), sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.83/6.22 sdtpldt0( xP, xP ) ) }.
% 5.83/6.22 parent0[0]: (105) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtpldt0( xP, xP )
% 5.83/6.22 , sdtpldt0( xR, xS ) ) }.
% 5.83/6.22 parent1[2]: (47) {G0,W10,D2,L4,V2,M4} I { ! aScalar0( X ), ! aScalar0( Y )
% 5.83/6.22 , sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 substitution1:
% 5.83/6.22 X := sdtpldt0( xP, xP )
% 5.83/6.22 Y := sdtpldt0( xR, xS )
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 resolution: (21948) {G1,W8,D3,L2,V0,M2} { ! aScalar0( sdtpldt0( xP, xP ) )
% 5.83/6.22 , ! aScalar0( sdtpldt0( xR, xS ) ) }.
% 5.83/6.22 parent0[0]: (106) {G0,W7,D3,L1,V0,M1} I { ! sdtlseqdt0( sdtpldt0( xR, xS )
% 5.83/6.22 , sdtpldt0( xP, xP ) ) }.
% 5.83/6.22 parent1[2]: (21947) {G1,W15,D3,L3,V0,M3} { ! aScalar0( sdtpldt0( xP, xP )
% 5.83/6.22 ), ! aScalar0( sdtpldt0( xR, xS ) ), sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.83/6.22 sdtpldt0( xP, xP ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 substitution1:
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (4560) {G1,W8,D3,L2,V0,M2} R(105,47);r(106) { ! aScalar0(
% 5.83/6.22 sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ) }.
% 5.83/6.22 parent0: (21948) {G1,W8,D3,L2,V0,M2} { ! aScalar0( sdtpldt0( xP, xP ) ), !
% 5.83/6.22 aScalar0( sdtpldt0( xR, xS ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 1 ==> 1
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 resolution: (21949) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xP, xP ) )
% 5.83/6.22 }.
% 5.83/6.22 parent0[0]: (107) {G1,W6,D3,L2,V1,M2} F(9) { ! aScalar0( X ), aScalar0(
% 5.83/6.22 sdtpldt0( X, X ) ) }.
% 5.83/6.22 parent1[0]: (95) {G0,W2,D2,L1,V0,M1} I { aScalar0( xP ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 X := xP
% 5.83/6.22 end
% 5.83/6.22 substitution1:
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (4651) {G2,W4,D3,L1,V0,M1} R(107,95) { aScalar0( sdtpldt0( xP
% 5.83/6.22 , xP ) ) }.
% 5.83/6.22 parent0: (21949) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xP, xP ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 resolution: (21950) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xR, xS ) )
% 5.83/6.22 }.
% 5.83/6.22 parent0[0]: (306) {G1,W6,D3,L2,V1,M2} R(9,93) { ! aScalar0( X ), aScalar0(
% 5.83/6.22 sdtpldt0( xR, X ) ) }.
% 5.83/6.22 parent1[0]: (97) {G0,W2,D2,L1,V0,M1} I { aScalar0( xS ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 X := xS
% 5.83/6.22 end
% 5.83/6.22 substitution1:
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (18026) {G2,W4,D3,L1,V0,M1} R(306,97) { aScalar0( sdtpldt0( xR
% 5.83/6.22 , xS ) ) }.
% 5.83/6.22 parent0: (21950) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xR, xS ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 0 ==> 0
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 resolution: (21951) {G2,W4,D3,L1,V0,M1} { ! aScalar0( sdtpldt0( xR, xS ) )
% 5.83/6.22 }.
% 5.83/6.22 parent0[0]: (4560) {G1,W8,D3,L2,V0,M2} R(105,47);r(106) { ! aScalar0(
% 5.83/6.22 sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ) }.
% 5.83/6.22 parent1[0]: (4651) {G2,W4,D3,L1,V0,M1} R(107,95) { aScalar0( sdtpldt0( xP,
% 5.83/6.22 xP ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 substitution1:
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 resolution: (21952) {G3,W0,D0,L0,V0,M0} { }.
% 5.83/6.22 parent0[0]: (21951) {G2,W4,D3,L1,V0,M1} { ! aScalar0( sdtpldt0( xR, xS ) )
% 5.83/6.22 }.
% 5.83/6.22 parent1[0]: (18026) {G2,W4,D3,L1,V0,M1} R(306,97) { aScalar0( sdtpldt0( xR
% 5.83/6.22 , xS ) ) }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 substitution1:
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 subsumption: (20410) {G3,W0,D0,L0,V0,M0} S(4560);r(4651);r(18026) { }.
% 5.83/6.22 parent0: (21952) {G3,W0,D0,L0,V0,M0} { }.
% 5.83/6.22 substitution0:
% 5.83/6.22 end
% 5.83/6.22 permutation0:
% 5.83/6.22 end
% 5.83/6.22
% 5.83/6.22 Proof check complete!
% 5.83/6.22
% 5.83/6.22 Memory use:
% 5.83/6.22
% 5.83/6.22 space for terms: 263597
% 5.83/6.22 space for clauses: 1143955
% 5.83/6.22
% 5.83/6.22
% 5.83/6.22 clauses generated: 81343
% 5.83/6.22 clauses kept: 20411
% 5.83/6.22 clauses selected: 1214
% 5.83/6.22 clauses deleted: 824
% 5.83/6.22 clauses inuse deleted: 52
% 5.83/6.22
% 5.83/6.22 subsentry: 184923
% 5.83/6.22 literals s-matched: 65926
% 5.83/6.22 literals matched: 51341
% 5.83/6.22 full subsumption: 26753
% 5.83/6.22
% 5.83/6.22 checksum: 1482630295
% 5.83/6.22
% 5.83/6.22
% 5.83/6.22 Bliksem ended
%------------------------------------------------------------------------------