TSTP Solution File: RNG072+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG072+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 5.17s 5.57s
% Output : Refutation 5.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG072+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 16:50:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10
% 0.70/1.10 { && }.
% 0.70/1.10 { aNaturalNumber0( sz00 ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! szszuzczcdt0( X ) = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, aNaturalNumber0( skol1( Y ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, X = szszuzczcdt0( skol1( X ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! szszuzczcdt0( X ) =
% 0.70/1.10 szszuzczcdt0( Y ), X = Y }.
% 0.70/1.10 { && }.
% 0.70/1.10 { ! aNaturalNumber0( X ), iLess0( X, szszuzczcdt0( X ) ) }.
% 0.70/1.10 { && }.
% 0.70/1.10 { aScalar0( sz0z00 ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtpldt0( X, Y ) ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtasdt0( X, Y ) ) }.
% 0.70/1.10 { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 0.70/1.10 { ! aScalar0( X ), alpha3( X ) }.
% 0.70/1.10 { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00 }.
% 0.70/1.10 { ! alpha3( X ), alpha5( X ) }.
% 0.70/1.10 { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 0.70/1.10 { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X, alpha3( X ) }.
% 0.70/1.10 { ! alpha5( X ), alpha6( X ) }.
% 0.70/1.10 { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) = sz0z00 }.
% 0.70/1.10 { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X ) = sz0z00, alpha5( X ) }.
% 0.70/1.10 { ! alpha6( X ), alpha7( X ) }.
% 0.70/1.10 { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) = sz0z00 }.
% 0.70/1.10 { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) ) = sz0z00, alpha6( X ) }.
% 0.70/1.10 { ! alpha7( X ), alpha8( X ) }.
% 0.70/1.10 { ! alpha7( X ), sdtasdt0( sz0z00, X ) = sz0z00 }.
% 0.70/1.10 { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) = sz0z00, alpha7( X ) }.
% 0.70/1.10 { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 0.70/1.10 { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 0.70/1.10 { ! alpha8( X ), sdtasdt0( X, sz0z00 ) = sz0z00 }.
% 0.70/1.10 { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0( sz0z00, X ) = X, ! sdtasdt0( X,
% 0.70/1.10 sz0z00 ) = sz0z00, alpha8( X ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), alpha4( X, Y, Z ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, Y ) =
% 0.70/1.10 sdtasdt0( Y, X ) }.
% 0.70/1.10 { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X,
% 0.70/1.10 sdtpldt0( Y, Z ) ) }.
% 0.70/1.10 { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.70/1.10 { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X,
% 0.70/1.10 sdtasdt0( Y, Z ) ) }.
% 0.70/1.10 { ! sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ), !
% 0.70/1.10 sdtpldt0( X, Y ) = sdtpldt0( Y, X ), ! sdtasdt0( sdtasdt0( X, Y ), Z ) =
% 0.70/1.10 sdtasdt0( X, sdtasdt0( Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, sdtpldt0
% 0.70/1.10 ( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( sdtpldt0( X
% 0.70/1.10 , Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ),
% 0.70/1.10 sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z, T ) ) = sdtpldt0( sdtpldt0(
% 0.70/1.10 sdtasdt0( X, Z ), sdtasdt0( X, T ) ), sdtpldt0( sdtasdt0( Y, Z ),
% 0.70/1.10 sdtasdt0( Y, T ) ) ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( X, smndt0( Y ) ) = smndt0(
% 0.70/1.10 sdtasdt0( X, Y ) ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), Y ) = smndt0(
% 0.70/1.10 sdtasdt0( X, Y ) ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), smndt0( Y ) ) =
% 0.70/1.10 sdtasdt0( X, Y ) }.
% 0.70/1.10 { && }.
% 0.70/1.10 { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y,
% 0.70/1.10 X ), X = Y }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! sdtlseqdt0( X, Y ),
% 0.70/1.10 ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.70/1.10 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtpldt0( X, Z ),
% 0.70/1.10 sdtpldt0( Y, T ) ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.70/1.10 sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ), ! sdtlseqdt0( Z, T ),
% 0.70/1.10 sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) ) }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X )
% 0.70/1.10 }.
% 0.70/1.10 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.70/1.10 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtpldt0( X, Y ) ) }.
% 0.97/1.33 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.97/1.33 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtasdt0( X, Y ) ) }.
% 0.97/1.33 { ! aScalar0( X ), sdtlseqdt0( sz0z00, sdtasdt0( X, X ) ) }.
% 0.97/1.33 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.97/1.33 ( sz0z00, Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, Y ), X = Y }.
% 0.97/1.33 { && }.
% 0.97/1.33 { ! aVector0( X ), aNaturalNumber0( aDimensionOf0( X ) ) }.
% 0.97/1.33 { ! aVector0( X ), ! aNaturalNumber0( Y ), aScalar0( sdtlbdtrb0( X, Y ) ) }
% 0.97/1.33 .
% 0.97/1.33 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.97/1.33 aVector0( Y ) }.
% 0.97/1.33 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.97/1.33 alpha1( X, Y ) }.
% 0.97/1.33 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! aVector0( Y ), ! alpha1( X
% 0.97/1.33 , Y ), Y = sziznziztdt0( X ) }.
% 0.97/1.33 { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X )
% 0.97/1.33 }.
% 0.97/1.33 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.97/1.33 { ! szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X ), ! alpha2( X, Y
% 0.97/1.33 ), alpha1( X, Y ) }.
% 0.97/1.33 { ! alpha2( X, Y ), ! aNaturalNumber0( Z ), sdtlbdtrb0( Y, Z ) = sdtlbdtrb0
% 0.97/1.33 ( X, Z ) }.
% 0.97/1.33 { aNaturalNumber0( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.97/1.33 { ! sdtlbdtrb0( Y, skol2( X, Y ) ) = sdtlbdtrb0( X, skol2( X, Y ) ), alpha2
% 0.97/1.33 ( X, Y ) }.
% 0.97/1.33 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.97/1.33 ), aDimensionOf0( Y ) = sz00, aDimensionOf0( sziznziztdt0( X ) ) =
% 0.97/1.33 aDimensionOf0( sziznziztdt0( Y ) ) }.
% 0.97/1.33 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.97/1.33 ), aScalar0( sdtasasdt0( X, Y ) ) }.
% 0.97/1.33 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.97/1.33 ), ! aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sz0z00 }.
% 0.97/1.33 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.97/1.33 ), aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0
% 0.97/1.33 ( sziznziztdt0( X ), sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X,
% 0.97/1.33 aDimensionOf0( X ) ), sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 0.97/1.33 { ! aVector0( X ), sdtlseqdt0( sz0z00, sdtasasdt0( X, X ) ) }.
% 0.97/1.33 { aVector0( xs ) }.
% 0.97/1.33 { aVector0( xt ) }.
% 0.97/1.33 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.97/1.33 ), ! iLess0( aDimensionOf0( X ), aDimensionOf0( xs ) ), sdtlseqdt0(
% 0.97/1.33 sdtasdt0( sdtasasdt0( X, Y ), sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0
% 0.97/1.33 ( X, X ), sdtasasdt0( Y, Y ) ) ) }.
% 0.97/1.33 { aDimensionOf0( xs ) = aDimensionOf0( xt ) }.
% 0.97/1.33 { ! aDimensionOf0( xs ) = sz00 }.
% 0.97/1.33 { aVector0( xp ) }.
% 0.97/1.33 { xp = sziznziztdt0( xs ) }.
% 0.97/1.33 { aVector0( xq ) }.
% 0.97/1.33 { xq = sziznziztdt0( xt ) }.
% 0.97/1.33 { aScalar0( xA ) }.
% 0.97/1.33 { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) ) }.
% 0.97/1.33 { aScalar0( xB ) }.
% 0.97/1.33 { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) ) }.
% 0.97/1.33 { aScalar0( xC ) }.
% 0.97/1.33 { xC = sdtasasdt0( xp, xp ) }.
% 0.97/1.33 { aScalar0( xD ) }.
% 0.97/1.33 { xD = sdtasasdt0( xq, xq ) }.
% 0.97/1.33 { aScalar0( xE ) }.
% 0.97/1.33 { xE = sdtasasdt0( xp, xq ) }.
% 0.97/1.33 { aScalar0( xF ) }.
% 0.97/1.33 { xF = sdtasdt0( xA, xA ) }.
% 0.97/1.33 { aScalar0( xG ) }.
% 0.97/1.33 { xG = sdtasdt0( xB, xB ) }.
% 0.97/1.33 { aScalar0( xH ) }.
% 0.97/1.33 { xH = sdtasdt0( xA, xB ) }.
% 0.97/1.33 { aScalar0( xR ) }.
% 0.97/1.33 { xR = sdtasdt0( xC, xG ) }.
% 0.97/1.33 { aScalar0( xP ) }.
% 0.97/1.33 { xP = sdtasdt0( xE, xH ) }.
% 0.97/1.33 { aScalar0( xS ) }.
% 0.97/1.33 { xS = sdtasdt0( xF, xD ) }.
% 0.97/1.33 { aScalar0( xN ) }.
% 0.97/1.33 { xN = sdtasdt0( xR, xS ) }.
% 0.97/1.33 { sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD ) ) }.
% 0.97/1.33 { sdtlseqdt0( sdtasdt0( xP, xP ), xN ) }.
% 0.97/1.33 { sdtlseqdt0( sdtpldt0( sdtasdt0( xP, xP ), sdtasdt0( xP, xP ) ), sdtpldt0
% 0.97/1.33 ( sdtasdt0( xR, xR ), sdtasdt0( xS, xS ) ) ) }.
% 0.97/1.33 { sdtlseqdt0( sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0( xP, xP ) ), sdtasdt0
% 0.97/1.33 ( sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) ) ) }.
% 0.97/1.33 { ! sdtlseqdt0( sdtpldt0( xP, xP ), sdtpldt0( xR, xS ) ) }.
% 0.97/1.33 { sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP, xP ) ) }.
% 0.97/1.33 { sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 0.97/1.33 { sdtlseqdt0( sz0z00, sdtpldt0( xP, xP ) ) }.
% 0.97/1.33 { ! sdtlseqdt0( sdtasdt0( sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) ),
% 0.97/1.33 sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0( xP, xP ) ) ) }.
% 0.97/1.33
% 0.97/1.33 percentage equality = 0.286822, percentage horn = 0.918182
% 0.97/1.33 This is a problem with some equality
% 0.97/1.33
% 0.97/1.33
% 0.97/1.33
% 0.97/1.33 Options Used:
% 0.97/1.33
% 0.97/1.33 useres = 1
% 0.97/1.33 useparamod = 1
% 0.97/1.33 useeqrefl = 1
% 0.97/1.33 useeqfact = 1
% 0.97/1.33 usefactor = 1
% 0.97/1.33 usesimpsplitting = 0
% 0.97/1.33 usesimpdemod = 5
% 5.17/5.57 usesimpres = 3
% 5.17/5.57
% 5.17/5.57 resimpinuse = 1000
% 5.17/5.57 resimpclauses = 20000
% 5.17/5.57 substype = eqrewr
% 5.17/5.57 backwardsubs = 1
% 5.17/5.57 selectoldest = 5
% 5.17/5.57
% 5.17/5.57 litorderings [0] = split
% 5.17/5.57 litorderings [1] = extend the termordering, first sorting on arguments
% 5.17/5.57
% 5.17/5.57 termordering = kbo
% 5.17/5.57
% 5.17/5.57 litapriori = 0
% 5.17/5.57 termapriori = 1
% 5.17/5.57 litaposteriori = 0
% 5.17/5.57 termaposteriori = 0
% 5.17/5.57 demodaposteriori = 0
% 5.17/5.57 ordereqreflfact = 0
% 5.17/5.57
% 5.17/5.57 litselect = negord
% 5.17/5.57
% 5.17/5.57 maxweight = 15
% 5.17/5.57 maxdepth = 30000
% 5.17/5.57 maxlength = 115
% 5.17/5.57 maxnrvars = 195
% 5.17/5.57 excuselevel = 1
% 5.17/5.57 increasemaxweight = 1
% 5.17/5.57
% 5.17/5.57 maxselected = 10000000
% 5.17/5.57 maxnrclauses = 10000000
% 5.17/5.57
% 5.17/5.57 showgenerated = 0
% 5.17/5.57 showkept = 0
% 5.17/5.57 showselected = 0
% 5.17/5.57 showdeleted = 0
% 5.17/5.57 showresimp = 1
% 5.17/5.57 showstatus = 2000
% 5.17/5.57
% 5.17/5.57 prologoutput = 0
% 5.17/5.57 nrgoals = 5000000
% 5.17/5.57 totalproof = 1
% 5.17/5.57
% 5.17/5.57 Symbols occurring in the translation:
% 5.17/5.57
% 5.17/5.57 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.17/5.57 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 5.17/5.57 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 5.17/5.57 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 5.17/5.57 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.17/5.57 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.17/5.57 aNaturalNumber0 [36, 1] (w:1, o:33, a:1, s:1, b:0),
% 5.17/5.57 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 5.17/5.57 szszuzczcdt0 [38, 1] (w:1, o:34, a:1, s:1, b:0),
% 5.17/5.57 iLess0 [40, 2] (w:1, o:70, a:1, s:1, b:0),
% 5.17/5.57 aScalar0 [41, 1] (w:1, o:35, a:1, s:1, b:0),
% 5.17/5.57 sz0z00 [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 5.17/5.57 sdtpldt0 [43, 2] (w:1, o:71, a:1, s:1, b:0),
% 5.17/5.57 sdtasdt0 [44, 2] (w:1, o:72, a:1, s:1, b:0),
% 5.17/5.57 smndt0 [45, 1] (w:1, o:36, a:1, s:1, b:0),
% 5.17/5.57 sdtlseqdt0 [48, 2] (w:1, o:73, a:1, s:1, b:0),
% 5.17/5.57 aVector0 [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 5.17/5.57 aDimensionOf0 [50, 1] (w:1, o:38, a:1, s:1, b:0),
% 5.17/5.57 sdtlbdtrb0 [51, 2] (w:1, o:74, a:1, s:1, b:0),
% 5.17/5.57 sziznziztdt0 [52, 1] (w:1, o:39, a:1, s:1, b:0),
% 5.17/5.57 sdtasasdt0 [53, 2] (w:1, o:75, a:1, s:1, b:0),
% 5.17/5.57 xs [54, 0] (w:1, o:12, a:1, s:1, b:0),
% 5.17/5.57 xt [55, 0] (w:1, o:13, a:1, s:1, b:0),
% 5.17/5.57 xp [56, 0] (w:1, o:14, a:1, s:1, b:0),
% 5.17/5.57 xq [57, 0] (w:1, o:15, a:1, s:1, b:0),
% 5.17/5.57 xA [58, 0] (w:1, o:16, a:1, s:1, b:0),
% 5.17/5.57 xB [59, 0] (w:1, o:17, a:1, s:1, b:0),
% 5.17/5.57 xC [60, 0] (w:1, o:18, a:1, s:1, b:0),
% 5.17/5.57 xD [61, 0] (w:1, o:19, a:1, s:1, b:0),
% 5.17/5.57 xE [62, 0] (w:1, o:20, a:1, s:1, b:0),
% 5.17/5.57 xF [63, 0] (w:1, o:21, a:1, s:1, b:0),
% 5.17/5.57 xG [64, 0] (w:1, o:22, a:1, s:1, b:0),
% 5.17/5.57 xH [65, 0] (w:1, o:23, a:1, s:1, b:0),
% 5.17/5.57 xR [66, 0] (w:1, o:24, a:1, s:1, b:0),
% 5.17/5.57 xP [67, 0] (w:1, o:25, a:1, s:1, b:0),
% 5.17/5.57 xS [68, 0] (w:1, o:26, a:1, s:1, b:0),
% 5.17/5.57 xN [69, 0] (w:1, o:27, a:1, s:1, b:0),
% 5.17/5.57 alpha1 [70, 2] (w:1, o:76, a:1, s:1, b:1),
% 5.17/5.57 alpha2 [71, 2] (w:1, o:77, a:1, s:1, b:1),
% 5.17/5.57 alpha3 [72, 1] (w:1, o:40, a:1, s:1, b:1),
% 5.17/5.57 alpha4 [73, 3] (w:1, o:79, a:1, s:1, b:1),
% 5.17/5.57 alpha5 [74, 1] (w:1, o:41, a:1, s:1, b:1),
% 5.17/5.57 alpha6 [75, 1] (w:1, o:42, a:1, s:1, b:1),
% 5.17/5.57 alpha7 [76, 1] (w:1, o:43, a:1, s:1, b:1),
% 5.17/5.57 alpha8 [77, 1] (w:1, o:44, a:1, s:1, b:1),
% 5.17/5.57 skol1 [78, 1] (w:1, o:45, a:1, s:1, b:1),
% 5.17/5.57 skol2 [79, 2] (w:1, o:78, a:1, s:1, b:1).
% 5.17/5.57
% 5.17/5.57
% 5.17/5.57 Starting Search:
% 5.17/5.57
% 5.17/5.57 *** allocated 15000 integers for clauses
% 5.17/5.57 *** allocated 22500 integers for clauses
% 5.17/5.57 *** allocated 33750 integers for clauses
% 5.17/5.57 *** allocated 50625 integers for clauses
% 5.17/5.57 *** allocated 15000 integers for termspace/termends
% 5.17/5.57 *** allocated 75937 integers for clauses
% 5.17/5.57 *** allocated 22500 integers for termspace/termends
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 *** allocated 113905 integers for clauses
% 5.17/5.57 *** allocated 33750 integers for termspace/termends
% 5.17/5.57 *** allocated 170857 integers for clauses
% 5.17/5.57 *** allocated 50625 integers for termspace/termends
% 5.17/5.57
% 5.17/5.57 Intermediate Status:
% 5.17/5.57 Generated: 5886
% 5.17/5.57 Kept: 2087
% 5.17/5.57 Inuse: 199
% 5.17/5.57 Deleted: 4
% 5.17/5.57 Deletedinuse: 2
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 *** allocated 75937 integers for termspace/termends
% 5.17/5.57 *** allocated 256285 integers for clauses
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57
% 5.17/5.57 Intermediate Status:
% 5.17/5.57 Generated: 14637
% 5.17/5.57 Kept: 4092
% 5.17/5.57 Inuse: 356
% 5.17/5.57 Deleted: 8
% 5.17/5.57 Deletedinuse: 5
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 *** allocated 113905 integers for termspace/termends
% 5.17/5.57 *** allocated 384427 integers for clauses
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57
% 5.17/5.57 Intermediate Status:
% 5.17/5.57 Generated: 24020
% 5.17/5.57 Kept: 6111
% 5.17/5.57 Inuse: 541
% 5.17/5.57 Deleted: 18
% 5.17/5.57 Deletedinuse: 13
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 *** allocated 576640 integers for clauses
% 5.17/5.57 *** allocated 170857 integers for termspace/termends
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57
% 5.17/5.57 Intermediate Status:
% 5.17/5.57 Generated: 40014
% 5.17/5.57 Kept: 8111
% 5.17/5.57 Inuse: 804
% 5.17/5.57 Deleted: 55
% 5.17/5.57 Deletedinuse: 16
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 *** allocated 864960 integers for clauses
% 5.17/5.57
% 5.17/5.57 Intermediate Status:
% 5.17/5.57 Generated: 52884
% 5.17/5.57 Kept: 10145
% 5.17/5.57 Inuse: 910
% 5.17/5.57 Deleted: 72
% 5.17/5.57 Deletedinuse: 26
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 *** allocated 256285 integers for termspace/termends
% 5.17/5.57
% 5.17/5.57 Intermediate Status:
% 5.17/5.57 Generated: 64258
% 5.17/5.57 Kept: 12206
% 5.17/5.57 Inuse: 1055
% 5.17/5.57 Deleted: 104
% 5.17/5.57 Deletedinuse: 52
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57
% 5.17/5.57 Intermediate Status:
% 5.17/5.57 Generated: 68734
% 5.17/5.57 Kept: 14379
% 5.17/5.57 Inuse: 1124
% 5.17/5.57 Deleted: 109
% 5.17/5.57 Deletedinuse: 52
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 *** allocated 1297440 integers for clauses
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57
% 5.17/5.57 Intermediate Status:
% 5.17/5.57 Generated: 73475
% 5.17/5.57 Kept: 16413
% 5.17/5.57 Inuse: 1160
% 5.17/5.57 Deleted: 109
% 5.17/5.57 Deletedinuse: 52
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57
% 5.17/5.57 Intermediate Status:
% 5.17/5.57 Generated: 77946
% 5.17/5.57 Kept: 18493
% 5.17/5.57 Inuse: 1194
% 5.17/5.57 Deleted: 109
% 5.17/5.57 Deletedinuse: 52
% 5.17/5.57
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 *** allocated 384427 integers for termspace/termends
% 5.17/5.57 Resimplifying inuse:
% 5.17/5.57 Done
% 5.17/5.57
% 5.17/5.57 Resimplifying clauses:
% 5.17/5.57
% 5.17/5.57 Bliksems!, er is een bewijs:
% 5.17/5.57 % SZS status Theorem
% 5.17/5.57 % SZS output start Refutation
% 5.17/5.57
% 5.17/5.57 (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.17/5.57 sdtpldt0( X, Y ) ) }.
% 5.17/5.57 (46) {G0,W24,D3,L8,V4,M8} I { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 5.17/5.57 ( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ),
% 5.17/5.57 ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) )
% 5.17/5.57 }.
% 5.17/5.57 (93) {G0,W2,D2,L1,V0,M1} I { aScalar0( xR ) }.
% 5.17/5.57 (95) {G0,W2,D2,L1,V0,M1} I { aScalar0( xP ) }.
% 5.17/5.57 (97) {G0,W2,D2,L1,V0,M1} I { aScalar0( xS ) }.
% 5.17/5.57 (106) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP
% 5.17/5.57 , xP ) ) }.
% 5.17/5.57 (107) {G0,W5,D3,L1,V0,M1} I { sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.57 (109) {G0,W15,D4,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0( sdtpldt0( xR, xS ),
% 5.17/5.57 sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0( xP, xP ) )
% 5.17/5.57 ) }.
% 5.17/5.57 (110) {G1,W6,D3,L2,V1,M2} F(9) { ! aScalar0( X ), aScalar0( sdtpldt0( X, X
% 5.17/5.57 ) ) }.
% 5.17/5.57 (309) {G1,W6,D3,L2,V1,M2} R(9,93) { ! aScalar0( X ), aScalar0( sdtpldt0( xR
% 5.17/5.57 , X ) ) }.
% 5.17/5.57 (4671) {G1,W13,D3,L3,V0,M3} R(109,46);f;f;f;r(106) { ! aScalar0( sdtpldt0(
% 5.17/5.57 xR, xS ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00,
% 5.17/5.57 sdtpldt0( xR, xS ) ) }.
% 5.17/5.57 (4732) {G2,W4,D3,L1,V0,M1} R(110,95) { aScalar0( sdtpldt0( xP, xP ) ) }.
% 5.17/5.57 (18123) {G2,W4,D3,L1,V0,M1} R(309,97) { aScalar0( sdtpldt0( xR, xS ) ) }.
% 5.17/5.57 (20508) {G3,W0,D0,L0,V0,M0} S(4671);r(18123);r(4732);r(107) { }.
% 5.17/5.57
% 5.17/5.57
% 5.17/5.57 % SZS output end Refutation
% 5.17/5.57 found a proof!
% 5.17/5.57
% 5.17/5.57
% 5.17/5.57 Unprocessed initial clauses:
% 5.17/5.57
% 5.17/5.57 (20510) {G0,W1,D1,L1,V0,M1} { && }.
% 5.17/5.57 (20511) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 5.17/5.57 (20512) {G0,W5,D3,L2,V1,M2} { ! aNaturalNumber0( X ), aNaturalNumber0(
% 5.17/5.57 szszuzczcdt0( X ) ) }.
% 5.17/5.57 (20513) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! szszuzczcdt0( X )
% 5.17/5.57 = sz00 }.
% 5.17/5.57 (20514) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), X = sz00,
% 5.17/5.57 aNaturalNumber0( skol1( Y ) ) }.
% 5.17/5.57 (20515) {G0,W10,D4,L3,V1,M3} { ! aNaturalNumber0( X ), X = sz00, X =
% 5.17/5.57 szszuzczcdt0( skol1( X ) ) }.
% 5.17/5.57 (20516) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 5.17/5.57 Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 5.17/5.57 (20517) {G0,W1,D1,L1,V0,M1} { && }.
% 5.17/5.57 (20518) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), iLess0( X,
% 5.17/5.57 szszuzczcdt0( X ) ) }.
% 5.17/5.57 (20519) {G0,W1,D1,L1,V0,M1} { && }.
% 5.17/5.57 (20520) {G0,W2,D2,L1,V0,M1} { aScalar0( sz0z00 ) }.
% 5.17/5.57 (20521) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.17/5.57 sdtpldt0( X, Y ) ) }.
% 5.17/5.57 (20522) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 5.17/5.57 sdtasdt0( X, Y ) ) }.
% 5.17/5.57 (20523) {G0,W5,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 5.17/5.57 (20524) {G0,W4,D2,L2,V1,M2} { ! aScalar0( X ), alpha3( X ) }.
% 5.17/5.57 (20525) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00
% 5.17/5.57 }.
% 5.17/5.57 (20526) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 5.17/5.57 (20527) {G0,W7,D4,L2,V1,M2} { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 5.17/5.57 (20528) {G0,W9,D4,L3,V1,M3} { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X,
% 5.17/5.57 alpha3( X ) }.
% 5.17/5.57 (20529) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha6( X ) }.
% 5.17/5.57 (20530) {G0,W8,D4,L2,V1,M2} { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) =
% 5.17/5.57 sz0z00 }.
% 5.17/5.57 (20531) {G0,W10,D4,L3,V1,M3} { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X )
% 5.17/5.57 = sz0z00, alpha5( X ) }.
% 5.17/5.57 (20532) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha7( X ) }.
% 5.17/5.57 (20533) {G0,W8,D4,L2,V1,M2} { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) =
% 5.17/5.57 sz0z00 }.
% 5.17/5.57 (20534) {G0,W10,D4,L3,V1,M3} { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) )
% 5.17/5.57 = sz0z00, alpha6( X ) }.
% 5.17/5.57 (20535) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha8( X ) }.
% 5.17/5.57 (20536) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), sdtasdt0( sz0z00, X ) =
% 5.17/5.57 sz0z00 }.
% 5.17/5.57 (20537) {G0,W9,D3,L3,V1,M3} { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) =
% 5.17/5.57 sz0z00, alpha7( X ) }.
% 5.17/5.57 (20538) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 5.17/5.57 (20539) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 5.17/5.57 (20540) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtasdt0( X, sz0z00 ) =
% 5.17/5.57 sz0z00 }.
% 5.17/5.57 (20541) {G0,W17,D3,L4,V1,M4} { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0(
% 5.17/5.57 sz0z00, X ) = X, ! sdtasdt0( X, sz0z00 ) = sz0z00, alpha8( X ) }.
% 5.17/5.57 (20542) {G0,W10,D2,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 aScalar0( Z ), alpha4( X, Y, Z ) }.
% 5.17/5.57 (20543) {G0,W13,D3,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 aScalar0( Z ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 5.17/5.57 (20544) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X
% 5.17/5.57 , Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 5.17/5.57 (20545) {G0,W11,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) =
% 5.17/5.57 sdtpldt0( Y, X ) }.
% 5.17/5.57 (20546) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X
% 5.17/5.57 , Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 5.17/5.57 (20547) {G0,W33,D4,L4,V3,M4} { ! sdtpldt0( sdtpldt0( X, Y ), Z ) =
% 5.17/5.57 sdtpldt0( X, sdtpldt0( Y, Z ) ), ! sdtpldt0( X, Y ) = sdtpldt0( Y, X ), !
% 5.17/5.57 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ),
% 5.17/5.57 alpha4( X, Y, Z ) }.
% 5.17/5.57 (20548) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 aScalar0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y
% 5.17/5.57 ), sdtasdt0( X, Z ) ) }.
% 5.17/5.57 (20549) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 aScalar0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z
% 5.17/5.57 ), sdtasdt0( Y, Z ) ) }.
% 5.17/5.57 (20550) {G0,W31,D5,L5,V4,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 aScalar0( Z ), ! aScalar0( T ), sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z,
% 5.17/5.57 T ) ) = sdtpldt0( sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( X, T ) ),
% 5.17/5.57 sdtpldt0( sdtasdt0( Y, Z ), sdtasdt0( Y, T ) ) ) }.
% 5.17/5.57 (20551) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.17/5.57 ( X, smndt0( Y ) ) = smndt0( sdtasdt0( X, Y ) ) }.
% 5.17/5.57 (20552) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.17/5.57 ( smndt0( X ), Y ) = smndt0( sdtasdt0( X, Y ) ) }.
% 5.17/5.57 (20553) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 5.17/5.57 ( smndt0( X ), smndt0( Y ) ) = sdtasdt0( X, Y ) }.
% 5.17/5.57 (20554) {G0,W1,D1,L1,V0,M1} { && }.
% 5.17/5.57 (20555) {G0,W5,D2,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 5.17/5.57 (20556) {G0,W13,D2,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 5.17/5.57 (20557) {G0,W15,D2,L6,V3,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 aScalar0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 5.17/5.57 , Z ) }.
% 5.17/5.57 (20558) {G0,W21,D3,L7,V4,M7} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T
% 5.17/5.57 ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, T ) ) }.
% 5.17/5.57 (20559) {G0,W24,D3,L8,V4,M8} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 5.17/5.57 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 5.17/5.57 ( Y, T ) ) }.
% 5.17/5.57 (20560) {G0,W10,D2,L4,V2,M4} { ! aScalar0( X ), ! aScalar0( Y ),
% 5.17/5.57 sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 5.17/5.57 (20561) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 5.17/5.57 sdtpldt0( X, Y ) ) }.
% 5.17/5.57 (20562) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 5.17/5.57 sdtasdt0( X, Y ) ) }.
% 5.17/5.57 (20563) {G0,W7,D3,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( sz0z00,
% 5.17/5.57 sdtasdt0( X, X ) ) }.
% 5.17/5.57 (20564) {G0,W20,D3,L6,V2,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 5.17/5.57 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), ! sdtasdt0( X, X ) =
% 5.17/5.57 sdtasdt0( Y, Y ), X = Y }.
% 5.17/5.57 (20565) {G0,W1,D1,L1,V0,M1} { && }.
% 5.17/5.57 (20566) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 5.17/5.57 aDimensionOf0( X ) ) }.
% 5.17/5.57 (20567) {G0,W8,D3,L3,V2,M3} { ! aVector0( X ), ! aNaturalNumber0( Y ),
% 5.17/5.57 aScalar0( sdtlbdtrb0( X, Y ) ) }.
% 5.17/5.57 (20568) {G0,W12,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.17/5.57 , ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 5.17/5.57 (20569) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.17/5.57 , ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 5.17/5.57 (20570) {G0,W15,D3,L5,V2,M5} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 5.17/5.57 , ! aVector0( Y ), ! alpha1( X, Y ), Y = sziznziztdt0( X ) }.
% 5.17/5.57 (20571) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), szszuzczcdt0(
% 5.17/5.57 aDimensionOf0( Y ) ) = aDimensionOf0( X ) }.
% 5.17/5.57 (20572) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 5.17/5.57 (20573) {G0,W12,D4,L3,V2,M3} { ! szszuzczcdt0( aDimensionOf0( Y ) ) =
% 5.17/5.57 aDimensionOf0( X ), ! alpha2( X, Y ), alpha1( X, Y ) }.
% 5.17/5.57 (20574) {G0,W12,D3,L3,V3,M3} { ! alpha2( X, Y ), ! aNaturalNumber0( Z ),
% 5.17/5.57 sdtlbdtrb0( Y, Z ) = sdtlbdtrb0( X, Z ) }.
% 5.17/5.57 (20575) {G0,W7,D3,L2,V4,M2} { aNaturalNumber0( skol2( Z, T ) ), alpha2( X
% 5.17/5.57 , Y ) }.
% 5.17/5.57 (20576) {G0,W14,D4,L2,V2,M2} { ! sdtlbdtrb0( Y, skol2( X, Y ) ) =
% 5.17/5.57 sdtlbdtrb0( X, skol2( X, Y ) ), alpha2( X, Y ) }.
% 5.17/5.57 (20577) {G0,W20,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.17/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.17/5.57 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 5.17/5.57 }.
% 5.17/5.57 (20578) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), ! aVector0( Y ), !
% 5.17/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), aScalar0( sdtasasdt0( X, Y ) )
% 5.17/5.57 }.
% 5.17/5.57 (20579) {G0,W18,D3,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.17/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), ! aDimensionOf0( Y ) = sz00,
% 5.17/5.57 sdtasasdt0( X, Y ) = sz0z00 }.
% 5.17/5.57 (20580) {G0,W32,D6,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.17/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 5.17/5.57 sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0( sziznziztdt0( X ),
% 5.17/5.57 sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X, aDimensionOf0( X ) ),
% 5.17/5.57 sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 5.17/5.57 (20581) {G0,W7,D3,L2,V1,M2} { ! aVector0( X ), sdtlseqdt0( sz0z00,
% 5.17/5.57 sdtasasdt0( X, X ) ) }.
% 5.17/5.57 (20582) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 5.17/5.57 (20583) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 5.17/5.57 (20584) {G0,W29,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 5.17/5.57 aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X ),
% 5.17/5.57 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 5.17/5.57 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 5.17/5.57 ) }.
% 5.17/5.57 (20585) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) = aDimensionOf0( xt )
% 5.17/5.57 }.
% 5.17/5.57 (20586) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xs ) = sz00 }.
% 5.17/5.57 (20587) {G0,W2,D2,L1,V0,M1} { aVector0( xp ) }.
% 5.17/5.57 (20588) {G0,W4,D3,L1,V0,M1} { xp = sziznziztdt0( xs ) }.
% 5.17/5.57 (20589) {G0,W2,D2,L1,V0,M1} { aVector0( xq ) }.
% 5.17/5.57 (20590) {G0,W4,D3,L1,V0,M1} { xq = sziznziztdt0( xt ) }.
% 5.17/5.57 (20591) {G0,W2,D2,L1,V0,M1} { aScalar0( xA ) }.
% 5.17/5.57 (20592) {G0,W6,D4,L1,V0,M1} { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) )
% 5.17/5.57 }.
% 5.17/5.57 (20593) {G0,W2,D2,L1,V0,M1} { aScalar0( xB ) }.
% 5.17/5.57 (20594) {G0,W6,D4,L1,V0,M1} { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) )
% 5.17/5.58 }.
% 5.17/5.58 (20595) {G0,W2,D2,L1,V0,M1} { aScalar0( xC ) }.
% 5.17/5.58 (20596) {G0,W5,D3,L1,V0,M1} { xC = sdtasasdt0( xp, xp ) }.
% 5.17/5.58 (20597) {G0,W2,D2,L1,V0,M1} { aScalar0( xD ) }.
% 5.17/5.58 (20598) {G0,W5,D3,L1,V0,M1} { xD = sdtasasdt0( xq, xq ) }.
% 5.17/5.58 (20599) {G0,W2,D2,L1,V0,M1} { aScalar0( xE ) }.
% 5.17/5.58 (20600) {G0,W5,D3,L1,V0,M1} { xE = sdtasasdt0( xp, xq ) }.
% 5.17/5.58 (20601) {G0,W2,D2,L1,V0,M1} { aScalar0( xF ) }.
% 5.17/5.58 (20602) {G0,W5,D3,L1,V0,M1} { xF = sdtasdt0( xA, xA ) }.
% 5.17/5.58 (20603) {G0,W2,D2,L1,V0,M1} { aScalar0( xG ) }.
% 5.17/5.58 (20604) {G0,W5,D3,L1,V0,M1} { xG = sdtasdt0( xB, xB ) }.
% 5.17/5.58 (20605) {G0,W2,D2,L1,V0,M1} { aScalar0( xH ) }.
% 5.17/5.58 (20606) {G0,W5,D3,L1,V0,M1} { xH = sdtasdt0( xA, xB ) }.
% 5.17/5.58 (20607) {G0,W2,D2,L1,V0,M1} { aScalar0( xR ) }.
% 5.17/5.58 (20608) {G0,W5,D3,L1,V0,M1} { xR = sdtasdt0( xC, xG ) }.
% 5.17/5.58 (20609) {G0,W2,D2,L1,V0,M1} { aScalar0( xP ) }.
% 5.17/5.58 (20610) {G0,W5,D3,L1,V0,M1} { xP = sdtasdt0( xE, xH ) }.
% 5.17/5.58 (20611) {G0,W2,D2,L1,V0,M1} { aScalar0( xS ) }.
% 5.17/5.58 (20612) {G0,W5,D3,L1,V0,M1} { xS = sdtasdt0( xF, xD ) }.
% 5.17/5.58 (20613) {G0,W2,D2,L1,V0,M1} { aScalar0( xN ) }.
% 5.17/5.58 (20614) {G0,W5,D3,L1,V0,M1} { xN = sdtasdt0( xR, xS ) }.
% 5.17/5.58 (20615) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC
% 5.17/5.58 , xD ) ) }.
% 5.17/5.58 (20616) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xP, xP ), xN ) }.
% 5.17/5.58 (20617) {G0,W15,D4,L1,V0,M1} { sdtlseqdt0( sdtpldt0( sdtasdt0( xP, xP ),
% 5.17/5.58 sdtasdt0( xP, xP ) ), sdtpldt0( sdtasdt0( xR, xR ), sdtasdt0( xS, xS ) )
% 5.17/5.58 ) }.
% 5.17/5.58 (20618) {G0,W15,D4,L1,V0,M1} { sdtlseqdt0( sdtasdt0( sdtpldt0( xP, xP ),
% 5.17/5.58 sdtpldt0( xP, xP ) ), sdtasdt0( sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) )
% 5.17/5.58 ) }.
% 5.17/5.58 (20619) {G0,W7,D3,L1,V0,M1} { ! sdtlseqdt0( sdtpldt0( xP, xP ), sdtpldt0(
% 5.17/5.58 xR, xS ) ) }.
% 5.17/5.58 (20620) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP
% 5.17/5.58 , xP ) ) }.
% 5.17/5.58 (20621) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 (20622) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sz0z00, sdtpldt0( xP, xP ) ) }.
% 5.17/5.58 (20623) {G0,W15,D4,L1,V0,M1} { ! sdtlseqdt0( sdtasdt0( sdtpldt0( xR, xS )
% 5.17/5.58 , sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0( xP, xP )
% 5.17/5.58 ) ) }.
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Total Proof:
% 5.17/5.58
% 5.17/5.58 subsumption: (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y ),
% 5.17/5.58 aScalar0( sdtpldt0( X, Y ) ) }.
% 5.17/5.58 parent0: (20521) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ),
% 5.17/5.58 aScalar0( sdtpldt0( X, Y ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 X := X
% 5.17/5.58 Y := Y
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 1 ==> 1
% 5.17/5.58 2 ==> 2
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (46) {G0,W24,D3,L8,V4,M8} I { ! aScalar0( X ), ! aScalar0( Y )
% 5.17/5.58 , ! aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 5.17/5.58 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 5.17/5.58 ( Y, T ) ) }.
% 5.17/5.58 parent0: (20559) {G0,W24,D3,L8,V4,M8} { ! aScalar0( X ), ! aScalar0( Y ),
% 5.17/5.58 ! aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 5.17/5.58 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 5.17/5.58 ( Y, T ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 X := X
% 5.17/5.58 Y := Y
% 5.17/5.58 Z := Z
% 5.17/5.58 T := T
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 1 ==> 1
% 5.17/5.58 2 ==> 2
% 5.17/5.58 3 ==> 3
% 5.17/5.58 4 ==> 4
% 5.17/5.58 5 ==> 5
% 5.17/5.58 6 ==> 6
% 5.17/5.58 7 ==> 7
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (93) {G0,W2,D2,L1,V0,M1} I { aScalar0( xR ) }.
% 5.17/5.58 parent0: (20607) {G0,W2,D2,L1,V0,M1} { aScalar0( xR ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (95) {G0,W2,D2,L1,V0,M1} I { aScalar0( xP ) }.
% 5.17/5.58 parent0: (20609) {G0,W2,D2,L1,V0,M1} { aScalar0( xP ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (97) {G0,W2,D2,L1,V0,M1} I { aScalar0( xS ) }.
% 5.17/5.58 parent0: (20611) {G0,W2,D2,L1,V0,M1} { aScalar0( xS ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (106) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.17/5.58 sdtpldt0( xP, xP ) ) }.
% 5.17/5.58 parent0: (20620) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.17/5.58 sdtpldt0( xP, xP ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (107) {G0,W5,D3,L1,V0,M1} I { sdtlseqdt0( sz0z00, sdtpldt0( xR
% 5.17/5.58 , xS ) ) }.
% 5.17/5.58 parent0: (20621) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sz0z00, sdtpldt0( xR,
% 5.17/5.58 xS ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (109) {G0,W15,D4,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0(
% 5.17/5.58 sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ),
% 5.17/5.58 sdtpldt0( xP, xP ) ) ) }.
% 5.17/5.58 parent0: (20623) {G0,W15,D4,L1,V0,M1} { ! sdtlseqdt0( sdtasdt0( sdtpldt0(
% 5.17/5.58 xR, xS ), sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0(
% 5.17/5.58 xP, xP ) ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 factor: (22292) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( sdtpldt0
% 5.17/5.58 ( X, X ) ) }.
% 5.17/5.58 parent0[0, 1]: (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y )
% 5.17/5.58 , aScalar0( sdtpldt0( X, Y ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 X := X
% 5.17/5.58 Y := X
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (110) {G1,W6,D3,L2,V1,M2} F(9) { ! aScalar0( X ), aScalar0(
% 5.17/5.58 sdtpldt0( X, X ) ) }.
% 5.17/5.58 parent0: (22292) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( sdtpldt0
% 5.17/5.58 ( X, X ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 X := X
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 1 ==> 1
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 resolution: (22293) {G1,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0(
% 5.17/5.58 sdtpldt0( xR, X ) ) }.
% 5.17/5.58 parent0[0]: (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y ),
% 5.17/5.58 aScalar0( sdtpldt0( X, Y ) ) }.
% 5.17/5.58 parent1[0]: (93) {G0,W2,D2,L1,V0,M1} I { aScalar0( xR ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 X := xR
% 5.17/5.58 Y := X
% 5.17/5.58 end
% 5.17/5.58 substitution1:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (309) {G1,W6,D3,L2,V1,M2} R(9,93) { ! aScalar0( X ), aScalar0
% 5.17/5.58 ( sdtpldt0( xR, X ) ) }.
% 5.17/5.58 parent0: (22293) {G1,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( sdtpldt0
% 5.17/5.58 ( xR, X ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 X := X
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 1 ==> 1
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 resolution: (22295) {G1,W35,D3,L7,V0,M7} { ! aScalar0( sdtpldt0( xR, xS )
% 5.17/5.58 ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ), !
% 5.17/5.58 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.17/5.58 sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ), !
% 5.17/5.58 sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP, xP ) ) }.
% 5.17/5.58 parent0[0]: (109) {G0,W15,D4,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0( sdtpldt0
% 5.17/5.58 ( xR, xS ), sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0
% 5.17/5.58 ( xP, xP ) ) ) }.
% 5.17/5.58 parent1[7]: (46) {G0,W24,D3,L8,V4,M8} I { ! aScalar0( X ), ! aScalar0( Y )
% 5.17/5.58 , ! aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 5.17/5.58 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 5.17/5.58 ( Y, T ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 substitution1:
% 5.17/5.58 X := sdtpldt0( xR, xS )
% 5.17/5.58 Y := sdtpldt0( xP, xP )
% 5.17/5.58 Z := sdtpldt0( xR, xS )
% 5.17/5.58 T := sdtpldt0( xP, xP )
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 factor: (22297) {G1,W28,D3,L6,V0,M6} { ! aScalar0( sdtpldt0( xR, xS ) ), !
% 5.17/5.58 aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ), !
% 5.17/5.58 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.17/5.58 sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 parent0[4, 6]: (22295) {G1,W35,D3,L7,V0,M7} { ! aScalar0( sdtpldt0( xR, xS
% 5.17/5.58 ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) )
% 5.17/5.58 , ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.17/5.58 sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ), !
% 5.17/5.58 sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP, xP ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 resolution: (22303) {G1,W21,D3,L5,V0,M5} { ! aScalar0( sdtpldt0( xR, xS )
% 5.17/5.58 ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ), !
% 5.17/5.58 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS )
% 5.17/5.58 ) }.
% 5.17/5.58 parent0[4]: (22297) {G1,W28,D3,L6,V0,M6} { ! aScalar0( sdtpldt0( xR, xS )
% 5.17/5.58 ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ), !
% 5.17/5.58 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.17/5.58 sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 parent1[0]: (106) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtpldt0( xR, xS ),
% 5.17/5.58 sdtpldt0( xP, xP ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 substitution1:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 factor: (22304) {G1,W17,D3,L4,V0,M4} { ! aScalar0( sdtpldt0( xR, xS ) ), !
% 5.17/5.58 aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xP, xP ) ), !
% 5.17/5.58 sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 parent0[0, 2]: (22303) {G1,W21,D3,L5,V0,M5} { ! aScalar0( sdtpldt0( xR, xS
% 5.17/5.58 ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) )
% 5.17/5.58 , ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR,
% 5.17/5.58 xS ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 factor: (22305) {G1,W13,D3,L3,V0,M3} { ! aScalar0( sdtpldt0( xR, xS ) ), !
% 5.17/5.58 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS )
% 5.17/5.58 ) }.
% 5.17/5.58 parent0[1, 2]: (22304) {G1,W17,D3,L4,V0,M4} { ! aScalar0( sdtpldt0( xR, xS
% 5.17/5.58 ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xP, xP ) )
% 5.17/5.58 , ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (4671) {G1,W13,D3,L3,V0,M3} R(109,46);f;f;f;r(106) { !
% 5.17/5.58 aScalar0( sdtpldt0( xR, xS ) ), ! aScalar0( sdtpldt0( xP, xP ) ), !
% 5.17/5.58 sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 parent0: (22305) {G1,W13,D3,L3,V0,M3} { ! aScalar0( sdtpldt0( xR, xS ) ),
% 5.17/5.58 ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS
% 5.17/5.58 ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 1 ==> 1
% 5.17/5.58 2 ==> 2
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 resolution: (22306) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xP, xP ) )
% 5.17/5.58 }.
% 5.17/5.58 parent0[0]: (110) {G1,W6,D3,L2,V1,M2} F(9) { ! aScalar0( X ), aScalar0(
% 5.17/5.58 sdtpldt0( X, X ) ) }.
% 5.17/5.58 parent1[0]: (95) {G0,W2,D2,L1,V0,M1} I { aScalar0( xP ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 X := xP
% 5.17/5.58 end
% 5.17/5.58 substitution1:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (4732) {G2,W4,D3,L1,V0,M1} R(110,95) { aScalar0( sdtpldt0( xP
% 5.17/5.58 , xP ) ) }.
% 5.17/5.58 parent0: (22306) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xP, xP ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 resolution: (22307) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xR, xS ) )
% 5.17/5.58 }.
% 5.17/5.58 parent0[0]: (309) {G1,W6,D3,L2,V1,M2} R(9,93) { ! aScalar0( X ), aScalar0(
% 5.17/5.58 sdtpldt0( xR, X ) ) }.
% 5.17/5.58 parent1[0]: (97) {G0,W2,D2,L1,V0,M1} I { aScalar0( xS ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 X := xS
% 5.17/5.58 end
% 5.17/5.58 substitution1:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (18123) {G2,W4,D3,L1,V0,M1} R(309,97) { aScalar0( sdtpldt0( xR
% 5.17/5.58 , xS ) ) }.
% 5.17/5.58 parent0: (22307) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 0 ==> 0
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 resolution: (22308) {G2,W9,D3,L2,V0,M2} { ! aScalar0( sdtpldt0( xP, xP ) )
% 5.17/5.58 , ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 parent0[0]: (4671) {G1,W13,D3,L3,V0,M3} R(109,46);f;f;f;r(106) { ! aScalar0
% 5.17/5.58 ( sdtpldt0( xR, xS ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0(
% 5.17/5.58 sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 parent1[0]: (18123) {G2,W4,D3,L1,V0,M1} R(309,97) { aScalar0( sdtpldt0( xR
% 5.17/5.58 , xS ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 substitution1:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 resolution: (22309) {G3,W5,D3,L1,V0,M1} { ! sdtlseqdt0( sz0z00, sdtpldt0(
% 5.17/5.58 xR, xS ) ) }.
% 5.17/5.58 parent0[0]: (22308) {G2,W9,D3,L2,V0,M2} { ! aScalar0( sdtpldt0( xP, xP ) )
% 5.17/5.58 , ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 5.17/5.58 parent1[0]: (4732) {G2,W4,D3,L1,V0,M1} R(110,95) { aScalar0( sdtpldt0( xP,
% 5.17/5.58 xP ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 substitution1:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 resolution: (22310) {G1,W0,D0,L0,V0,M0} { }.
% 5.17/5.58 parent0[0]: (22309) {G3,W5,D3,L1,V0,M1} { ! sdtlseqdt0( sz0z00, sdtpldt0(
% 5.17/5.58 xR, xS ) ) }.
% 5.17/5.58 parent1[0]: (107) {G0,W5,D3,L1,V0,M1} I { sdtlseqdt0( sz0z00, sdtpldt0( xR
% 5.17/5.58 , xS ) ) }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 substitution1:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 subsumption: (20508) {G3,W0,D0,L0,V0,M0} S(4671);r(18123);r(4732);r(107) {
% 5.17/5.58 }.
% 5.17/5.58 parent0: (22310) {G1,W0,D0,L0,V0,M0} { }.
% 5.17/5.58 substitution0:
% 5.17/5.58 end
% 5.17/5.58 permutation0:
% 5.17/5.58 end
% 5.17/5.58
% 5.17/5.58 Proof check complete!
% 5.17/5.58
% 5.17/5.58 Memory use:
% 5.17/5.58
% 5.17/5.58 space for terms: 265780
% 5.17/5.58 space for clauses: 1149005
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 clauses generated: 82022
% 5.17/5.58 clauses kept: 20509
% 5.17/5.58 clauses selected: 1219
% 5.17/5.58 clauses deleted: 822
% 5.17/5.58 clauses inuse deleted: 52
% 5.17/5.58
% 5.17/5.58 subsentry: 188817
% 5.17/5.58 literals s-matched: 67637
% 5.17/5.58 literals matched: 52491
% 5.17/5.58 full subsumption: 27283
% 5.17/5.58
% 5.17/5.58 checksum: -381441011
% 5.17/5.58
% 5.17/5.58
% 5.17/5.58 Bliksem ended
%------------------------------------------------------------------------------