TSTP Solution File: RNG072+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG072+2 : 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 20:16:17 EDT 2022
% Result : Theorem 4.75s 5.16s
% Output : Refutation 4.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG072+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon May 30 08:27:27 EDT 2022
% 0.12/0.34 % 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 ) ) }.
% 0.74/1.17 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.74/1.17 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtasdt0( X, Y ) ) }.
% 0.74/1.17 { ! aScalar0( X ), sdtlseqdt0( sz0z00, sdtasdt0( X, X ) ) }.
% 0.74/1.17 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.74/1.17 ( sz0z00, Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, Y ), X = Y }.
% 0.74/1.17 { && }.
% 0.74/1.17 { ! aVector0( X ), aNaturalNumber0( aDimensionOf0( X ) ) }.
% 0.74/1.17 { ! aVector0( X ), ! aNaturalNumber0( Y ), aScalar0( sdtlbdtrb0( X, Y ) ) }
% 0.74/1.17 .
% 0.74/1.17 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.74/1.17 aVector0( Y ) }.
% 0.74/1.17 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.74/1.17 alpha1( X, Y ) }.
% 0.74/1.17 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! aVector0( Y ), ! alpha1( X
% 0.74/1.17 , Y ), Y = sziznziztdt0( X ) }.
% 0.74/1.17 { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X )
% 0.74/1.17 }.
% 0.74/1.17 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.74/1.17 { ! szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X ), ! alpha2( X, Y
% 0.74/1.17 ), alpha1( X, Y ) }.
% 0.74/1.17 { ! alpha2( X, Y ), ! aNaturalNumber0( Z ), sdtlbdtrb0( Y, Z ) = sdtlbdtrb0
% 0.74/1.17 ( X, Z ) }.
% 0.74/1.17 { aNaturalNumber0( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.74/1.17 { ! sdtlbdtrb0( Y, skol2( X, Y ) ) = sdtlbdtrb0( X, skol2( X, Y ) ), alpha2
% 0.74/1.17 ( X, Y ) }.
% 0.74/1.17 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.74/1.17 ), aDimensionOf0( Y ) = sz00, aDimensionOf0( sziznziztdt0( X ) ) =
% 0.74/1.17 aDimensionOf0( sziznziztdt0( Y ) ) }.
% 0.74/1.17 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.74/1.17 ), aScalar0( sdtasasdt0( X, Y ) ) }.
% 0.74/1.17 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.74/1.17 ), ! aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sz0z00 }.
% 0.74/1.17 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.74/1.17 ), aDimensionOf0( Y ) = sz00, sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0
% 0.74/1.17 ( sziznziztdt0( X ), sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X,
% 0.74/1.17 aDimensionOf0( X ) ), sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 0.74/1.17 { ! aVector0( X ), sdtlseqdt0( sz0z00, sdtasasdt0( X, X ) ) }.
% 0.74/1.17 { aVector0( xs ) }.
% 0.74/1.17 { aVector0( xt ) }.
% 0.74/1.17 { ! aVector0( X ), ! aVector0( Y ), ! aDimensionOf0( X ) = aDimensionOf0( Y
% 0.74/1.17 ), ! iLess0( aDimensionOf0( X ), aDimensionOf0( xs ) ), sdtlseqdt0(
% 0.74/1.17 sdtasdt0( sdtasasdt0( X, Y ), sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0
% 0.74/1.17 ( X, X ), sdtasasdt0( Y, Y ) ) ) }.
% 0.74/1.17 { aDimensionOf0( xs ) = aDimensionOf0( xt ) }.
% 0.74/1.17 { ! aDimensionOf0( xs ) = sz00 }.
% 0.74/1.17 { aVector0( xp ) }.
% 0.74/1.17 { szszuzczcdt0( aDimensionOf0( xp ) ) = aDimensionOf0( xs ) }.
% 0.74/1.17 { ! aNaturalNumber0( X ), sdtlbdtrb0( xp, X ) = sdtlbdtrb0( xs, X ) }.
% 0.74/1.17 { xp = sziznziztdt0( xs ) }.
% 0.74/1.17 { aVector0( xq ) }.
% 0.74/1.17 { szszuzczcdt0( aDimensionOf0( xq ) ) = aDimensionOf0( xt ) }.
% 0.74/1.17 { ! aNaturalNumber0( X ), sdtlbdtrb0( xq, X ) = sdtlbdtrb0( xt, X ) }.
% 0.74/1.17 { xq = sziznziztdt0( xt ) }.
% 0.74/1.17 { aScalar0( xA ) }.
% 0.74/1.17 { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) ) }.
% 0.74/1.17 { aScalar0( xB ) }.
% 0.74/1.17 { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) ) }.
% 0.74/1.17 { aScalar0( xC ) }.
% 0.74/1.17 { xC = sdtasasdt0( xp, xp ) }.
% 0.74/1.17 { aScalar0( xD ) }.
% 0.74/1.17 { xD = sdtasasdt0( xq, xq ) }.
% 0.74/1.17 { aScalar0( xE ) }.
% 0.74/1.17 { xE = sdtasasdt0( xp, xq ) }.
% 0.74/1.17 { aScalar0( xF ) }.
% 0.74/1.17 { xF = sdtasdt0( xA, xA ) }.
% 0.74/1.17 { aScalar0( xG ) }.
% 0.74/1.17 { xG = sdtasdt0( xB, xB ) }.
% 0.74/1.17 { aScalar0( xH ) }.
% 0.74/1.17 { xH = sdtasdt0( xA, xB ) }.
% 0.74/1.17 { aScalar0( xR ) }.
% 0.74/1.17 { xR = sdtasdt0( xC, xG ) }.
% 0.74/1.17 { aScalar0( xP ) }.
% 0.74/1.17 { xP = sdtasdt0( xE, xH ) }.
% 0.74/1.17 { aScalar0( xS ) }.
% 0.74/1.17 { xS = sdtasdt0( xF, xD ) }.
% 0.74/1.17 { aScalar0( xN ) }.
% 0.74/1.17 { xN = sdtasdt0( xR, xS ) }.
% 0.74/1.17 { sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC, xD ) ) }.
% 0.74/1.17 { sdtlseqdt0( sdtasdt0( xP, xP ), xN ) }.
% 0.74/1.17 { sdtlseqdt0( sdtpldt0( sdtasdt0( xP, xP ), sdtasdt0( xP, xP ) ), sdtpldt0
% 0.74/1.17 ( sdtasdt0( xR, xR ), sdtasdt0( xS, xS ) ) ) }.
% 0.74/1.17 { sdtlseqdt0( sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0( xP, xP ) ), sdtasdt0
% 0.74/1.17 ( sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) ) ) }.
% 0.74/1.17 { ! sdtlseqdt0( sdtpldt0( xP, xP ), sdtpldt0( xR, xS ) ) }.
% 0.74/1.17 { sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP, xP ) ) }.
% 0.74/1.17 { sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 0.74/1.17 { sdtlseqdt0( sz0z00, sdtpldt0( xP, xP ) ) }.
% 0.74/1.17 { ! sdtlseqdt0( sdtasdt0( sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) ),
% 0.74/1.17 sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0( xP, xP ) ) ) }.
% 4.75/5.16
% 4.75/5.16 percentage equality = 0.295455, percentage horn = 0.921053
% 4.75/5.16 This is a problem with some equality
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Options Used:
% 4.75/5.16
% 4.75/5.16 useres = 1
% 4.75/5.16 useparamod = 1
% 4.75/5.16 useeqrefl = 1
% 4.75/5.16 useeqfact = 1
% 4.75/5.16 usefactor = 1
% 4.75/5.16 usesimpsplitting = 0
% 4.75/5.16 usesimpdemod = 5
% 4.75/5.16 usesimpres = 3
% 4.75/5.16
% 4.75/5.16 resimpinuse = 1000
% 4.75/5.16 resimpclauses = 20000
% 4.75/5.16 substype = eqrewr
% 4.75/5.16 backwardsubs = 1
% 4.75/5.16 selectoldest = 5
% 4.75/5.16
% 4.75/5.16 litorderings [0] = split
% 4.75/5.16 litorderings [1] = extend the termordering, first sorting on arguments
% 4.75/5.16
% 4.75/5.16 termordering = kbo
% 4.75/5.16
% 4.75/5.16 litapriori = 0
% 4.75/5.16 termapriori = 1
% 4.75/5.16 litaposteriori = 0
% 4.75/5.16 termaposteriori = 0
% 4.75/5.16 demodaposteriori = 0
% 4.75/5.16 ordereqreflfact = 0
% 4.75/5.16
% 4.75/5.16 litselect = negord
% 4.75/5.16
% 4.75/5.16 maxweight = 15
% 4.75/5.16 maxdepth = 30000
% 4.75/5.16 maxlength = 115
% 4.75/5.16 maxnrvars = 195
% 4.75/5.16 excuselevel = 1
% 4.75/5.16 increasemaxweight = 1
% 4.75/5.16
% 4.75/5.16 maxselected = 10000000
% 4.75/5.16 maxnrclauses = 10000000
% 4.75/5.16
% 4.75/5.16 showgenerated = 0
% 4.75/5.16 showkept = 0
% 4.75/5.16 showselected = 0
% 4.75/5.16 showdeleted = 0
% 4.75/5.16 showresimp = 1
% 4.75/5.16 showstatus = 2000
% 4.75/5.16
% 4.75/5.16 prologoutput = 0
% 4.75/5.16 nrgoals = 5000000
% 4.75/5.16 totalproof = 1
% 4.75/5.16
% 4.75/5.16 Symbols occurring in the translation:
% 4.75/5.16
% 4.75/5.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.75/5.16 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 4.75/5.16 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 4.75/5.16 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 4.75/5.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.75/5.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.75/5.16 aNaturalNumber0 [36, 1] (w:1, o:33, a:1, s:1, b:0),
% 4.75/5.16 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.75/5.16 szszuzczcdt0 [38, 1] (w:1, o:34, a:1, s:1, b:0),
% 4.75/5.16 iLess0 [40, 2] (w:1, o:70, a:1, s:1, b:0),
% 4.75/5.16 aScalar0 [41, 1] (w:1, o:35, a:1, s:1, b:0),
% 4.75/5.16 sz0z00 [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.75/5.16 sdtpldt0 [43, 2] (w:1, o:71, a:1, s:1, b:0),
% 4.75/5.16 sdtasdt0 [44, 2] (w:1, o:72, a:1, s:1, b:0),
% 4.75/5.16 smndt0 [45, 1] (w:1, o:36, a:1, s:1, b:0),
% 4.75/5.16 sdtlseqdt0 [48, 2] (w:1, o:73, a:1, s:1, b:0),
% 4.75/5.16 aVector0 [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 4.75/5.16 aDimensionOf0 [50, 1] (w:1, o:38, a:1, s:1, b:0),
% 4.75/5.16 sdtlbdtrb0 [51, 2] (w:1, o:74, a:1, s:1, b:0),
% 4.75/5.16 sziznziztdt0 [52, 1] (w:1, o:39, a:1, s:1, b:0),
% 4.75/5.16 sdtasasdt0 [53, 2] (w:1, o:75, a:1, s:1, b:0),
% 4.75/5.16 xs [54, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.75/5.16 xt [55, 0] (w:1, o:13, a:1, s:1, b:0),
% 4.75/5.16 xp [56, 0] (w:1, o:14, a:1, s:1, b:0),
% 4.75/5.16 xq [57, 0] (w:1, o:15, a:1, s:1, b:0),
% 4.75/5.16 xA [58, 0] (w:1, o:16, a:1, s:1, b:0),
% 4.75/5.16 xB [59, 0] (w:1, o:17, a:1, s:1, b:0),
% 4.75/5.16 xC [60, 0] (w:1, o:18, a:1, s:1, b:0),
% 4.75/5.16 xD [61, 0] (w:1, o:19, a:1, s:1, b:0),
% 4.75/5.16 xE [62, 0] (w:1, o:20, a:1, s:1, b:0),
% 4.75/5.16 xF [63, 0] (w:1, o:21, a:1, s:1, b:0),
% 4.75/5.16 xG [64, 0] (w:1, o:22, a:1, s:1, b:0),
% 4.75/5.16 xH [65, 0] (w:1, o:23, a:1, s:1, b:0),
% 4.75/5.16 xR [66, 0] (w:1, o:24, a:1, s:1, b:0),
% 4.75/5.16 xP [67, 0] (w:1, o:25, a:1, s:1, b:0),
% 4.75/5.16 xS [68, 0] (w:1, o:26, a:1, s:1, b:0),
% 4.75/5.16 xN [69, 0] (w:1, o:27, a:1, s:1, b:0),
% 4.75/5.16 alpha1 [70, 2] (w:1, o:76, a:1, s:1, b:1),
% 4.75/5.16 alpha2 [71, 2] (w:1, o:77, a:1, s:1, b:1),
% 4.75/5.16 alpha3 [72, 1] (w:1, o:40, a:1, s:1, b:1),
% 4.75/5.16 alpha4 [73, 3] (w:1, o:79, a:1, s:1, b:1),
% 4.75/5.16 alpha5 [74, 1] (w:1, o:41, a:1, s:1, b:1),
% 4.75/5.16 alpha6 [75, 1] (w:1, o:42, a:1, s:1, b:1),
% 4.75/5.16 alpha7 [76, 1] (w:1, o:43, a:1, s:1, b:1),
% 4.75/5.16 alpha8 [77, 1] (w:1, o:44, a:1, s:1, b:1),
% 4.75/5.16 skol1 [78, 1] (w:1, o:45, a:1, s:1, b:1),
% 4.75/5.16 skol2 [79, 2] (w:1, o:78, a:1, s:1, b:1).
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Starting Search:
% 4.75/5.16
% 4.75/5.16 *** allocated 15000 integers for clauses
% 4.75/5.16 *** allocated 22500 integers for clauses
% 4.75/5.16 *** allocated 33750 integers for clauses
% 4.75/5.16 *** allocated 50625 integers for clauses
% 4.75/5.16 *** allocated 15000 integers for termspace/termends
% 4.75/5.16 *** allocated 75937 integers for clauses
% 4.75/5.16 *** allocated 22500 integers for termspace/termends
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 *** allocated 113905 integers for clauses
% 4.75/5.16 *** allocated 33750 integers for termspace/termends
% 4.75/5.16 *** allocated 170857 integers for clauses
% 4.75/5.16 *** allocated 50625 integers for termspace/termends
% 4.75/5.16
% 4.75/5.16 Intermediate Status:
% 4.75/5.16 Generated: 5890
% 4.75/5.16 Kept: 2091
% 4.75/5.16 Inuse: 199
% 4.75/5.16 Deleted: 4
% 4.75/5.16 Deletedinuse: 2
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 *** allocated 75937 integers for termspace/termends
% 4.75/5.16 *** allocated 256285 integers for clauses
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Intermediate Status:
% 4.75/5.16 Generated: 14587
% 4.75/5.16 Kept: 4092
% 4.75/5.16 Inuse: 354
% 4.75/5.16 Deleted: 7
% 4.75/5.16 Deletedinuse: 3
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 *** allocated 113905 integers for termspace/termends
% 4.75/5.16 *** allocated 384427 integers for clauses
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Intermediate Status:
% 4.75/5.16 Generated: 24009
% 4.75/5.16 Kept: 6121
% 4.75/5.16 Inuse: 550
% 4.75/5.16 Deleted: 18
% 4.75/5.16 Deletedinuse: 12
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 *** allocated 576640 integers for clauses
% 4.75/5.16 *** allocated 170857 integers for termspace/termends
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Intermediate Status:
% 4.75/5.16 Generated: 39782
% 4.75/5.16 Kept: 8123
% 4.75/5.16 Inuse: 800
% 4.75/5.16 Deleted: 53
% 4.75/5.16 Deletedinuse: 15
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 *** allocated 864960 integers for clauses
% 4.75/5.16
% 4.75/5.16 Intermediate Status:
% 4.75/5.16 Generated: 48021
% 4.75/5.16 Kept: 10168
% 4.75/5.16 Inuse: 905
% 4.75/5.16 Deleted: 66
% 4.75/5.16 Deletedinuse: 25
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 *** allocated 256285 integers for termspace/termends
% 4.75/5.16
% 4.75/5.16 Intermediate Status:
% 4.75/5.16 Generated: 64352
% 4.75/5.16 Kept: 12280
% 4.75/5.16 Inuse: 1057
% 4.75/5.16 Deleted: 97
% 4.75/5.16 Deletedinuse: 51
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Intermediate Status:
% 4.75/5.16 Generated: 68584
% 4.75/5.16 Kept: 14350
% 4.75/5.16 Inuse: 1137
% 4.75/5.16 Deleted: 105
% 4.75/5.16 Deletedinuse: 51
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 *** allocated 1297440 integers for clauses
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Intermediate Status:
% 4.75/5.16 Generated: 73321
% 4.75/5.16 Kept: 16359
% 4.75/5.16 Inuse: 1175
% 4.75/5.16 Deleted: 105
% 4.75/5.16 Deletedinuse: 51
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Intermediate Status:
% 4.75/5.16 Generated: 77773
% 4.75/5.16 Kept: 18407
% 4.75/5.16 Inuse: 1207
% 4.75/5.16 Deleted: 105
% 4.75/5.16 Deletedinuse: 51
% 4.75/5.16
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 *** allocated 384427 integers for termspace/termends
% 4.75/5.16 Resimplifying inuse:
% 4.75/5.16 Done
% 4.75/5.16
% 4.75/5.16 Resimplifying clauses:
% 4.75/5.16
% 4.75/5.16 Bliksems!, er is een bewijs:
% 4.75/5.16 % SZS status Theorem
% 4.75/5.16 % SZS output start Refutation
% 4.75/5.16
% 4.75/5.16 (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 4.75/5.16 sdtpldt0( X, Y ) ) }.
% 4.75/5.16 (46) {G0,W24,D3,L8,V4,M8} I { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 4.75/5.16 ( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ),
% 4.75/5.16 ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) )
% 4.75/5.16 }.
% 4.75/5.16 (97) {G0,W2,D2,L1,V0,M1} I { aScalar0( xR ) }.
% 4.75/5.16 (99) {G0,W2,D2,L1,V0,M1} I { aScalar0( xP ) }.
% 4.75/5.16 (101) {G0,W2,D2,L1,V0,M1} I { aScalar0( xS ) }.
% 4.75/5.16 (110) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP
% 4.75/5.16 , xP ) ) }.
% 4.75/5.16 (111) {G0,W5,D3,L1,V0,M1} I { sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.16 (113) {G0,W15,D4,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0( sdtpldt0( xR, xS ),
% 4.75/5.16 sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0( xP, xP ) )
% 4.75/5.16 ) }.
% 4.75/5.16 (114) {G1,W6,D3,L2,V1,M2} F(9) { ! aScalar0( X ), aScalar0( sdtpldt0( X, X
% 4.75/5.16 ) ) }.
% 4.75/5.16 (313) {G1,W6,D3,L2,V1,M2} R(9,97) { ! aScalar0( X ), aScalar0( sdtpldt0( xR
% 4.75/5.16 , X ) ) }.
% 4.75/5.16 (4751) {G1,W13,D3,L3,V0,M3} R(113,46);f;f;f;r(110) { ! aScalar0( sdtpldt0(
% 4.75/5.16 xR, xS ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00,
% 4.75/5.16 sdtpldt0( xR, xS ) ) }.
% 4.75/5.16 (4813) {G2,W4,D3,L1,V0,M1} R(114,99) { aScalar0( sdtpldt0( xP, xP ) ) }.
% 4.75/5.16 (18364) {G2,W4,D3,L1,V0,M1} R(313,101) { aScalar0( sdtpldt0( xR, xS ) ) }.
% 4.75/5.16 (20424) {G3,W0,D0,L0,V0,M0} S(4751);r(18364);r(4813);r(111) { }.
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 % SZS output end Refutation
% 4.75/5.16 found a proof!
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Unprocessed initial clauses:
% 4.75/5.16
% 4.75/5.16 (20426) {G0,W1,D1,L1,V0,M1} { && }.
% 4.75/5.16 (20427) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 4.75/5.16 (20428) {G0,W5,D3,L2,V1,M2} { ! aNaturalNumber0( X ), aNaturalNumber0(
% 4.75/5.16 szszuzczcdt0( X ) ) }.
% 4.75/5.16 (20429) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! szszuzczcdt0( X )
% 4.75/5.16 = sz00 }.
% 4.75/5.16 (20430) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), X = sz00,
% 4.75/5.16 aNaturalNumber0( skol1( Y ) ) }.
% 4.75/5.16 (20431) {G0,W10,D4,L3,V1,M3} { ! aNaturalNumber0( X ), X = sz00, X =
% 4.75/5.16 szszuzczcdt0( skol1( X ) ) }.
% 4.75/5.16 (20432) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.75/5.16 Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 4.75/5.16 (20433) {G0,W1,D1,L1,V0,M1} { && }.
% 4.75/5.16 (20434) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), iLess0( X,
% 4.75/5.16 szszuzczcdt0( X ) ) }.
% 4.75/5.16 (20435) {G0,W1,D1,L1,V0,M1} { && }.
% 4.75/5.16 (20436) {G0,W2,D2,L1,V0,M1} { aScalar0( sz0z00 ) }.
% 4.75/5.16 (20437) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 4.75/5.16 sdtpldt0( X, Y ) ) }.
% 4.75/5.16 (20438) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 4.75/5.16 sdtasdt0( X, Y ) ) }.
% 4.75/5.16 (20439) {G0,W5,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 4.75/5.16 (20440) {G0,W4,D2,L2,V1,M2} { ! aScalar0( X ), alpha3( X ) }.
% 4.75/5.16 (20441) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00
% 4.75/5.16 }.
% 4.75/5.16 (20442) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 4.75/5.16 (20443) {G0,W7,D4,L2,V1,M2} { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 4.75/5.16 (20444) {G0,W9,D4,L3,V1,M3} { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X,
% 4.75/5.16 alpha3( X ) }.
% 4.75/5.16 (20445) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha6( X ) }.
% 4.75/5.16 (20446) {G0,W8,D4,L2,V1,M2} { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) =
% 4.75/5.16 sz0z00 }.
% 4.75/5.16 (20447) {G0,W10,D4,L3,V1,M3} { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X )
% 4.75/5.16 = sz0z00, alpha5( X ) }.
% 4.75/5.16 (20448) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha7( X ) }.
% 4.75/5.16 (20449) {G0,W8,D4,L2,V1,M2} { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) =
% 4.75/5.16 sz0z00 }.
% 4.75/5.16 (20450) {G0,W10,D4,L3,V1,M3} { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) )
% 4.75/5.16 = sz0z00, alpha6( X ) }.
% 4.75/5.16 (20451) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha8( X ) }.
% 4.75/5.16 (20452) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), sdtasdt0( sz0z00, X ) =
% 4.75/5.16 sz0z00 }.
% 4.75/5.16 (20453) {G0,W9,D3,L3,V1,M3} { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) =
% 4.75/5.16 sz0z00, alpha7( X ) }.
% 4.75/5.16 (20454) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 4.75/5.16 (20455) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 4.75/5.16 (20456) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtasdt0( X, sz0z00 ) =
% 4.75/5.16 sz0z00 }.
% 4.75/5.16 (20457) {G0,W17,D3,L4,V1,M4} { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0(
% 4.75/5.16 sz0z00, X ) = X, ! sdtasdt0( X, sz0z00 ) = sz0z00, alpha8( X ) }.
% 4.75/5.16 (20458) {G0,W10,D2,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 aScalar0( Z ), alpha4( X, Y, Z ) }.
% 4.75/5.16 (20459) {G0,W13,D3,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 aScalar0( Z ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 4.75/5.16 (20460) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X
% 4.75/5.16 , Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 4.75/5.16 (20461) {G0,W11,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) =
% 4.75/5.16 sdtpldt0( Y, X ) }.
% 4.75/5.16 (20462) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X
% 4.75/5.16 , Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 4.75/5.16 (20463) {G0,W33,D4,L4,V3,M4} { ! sdtpldt0( sdtpldt0( X, Y ), Z ) =
% 4.75/5.16 sdtpldt0( X, sdtpldt0( Y, Z ) ), ! sdtpldt0( X, Y ) = sdtpldt0( Y, X ), !
% 4.75/5.16 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ),
% 4.75/5.16 alpha4( X, Y, Z ) }.
% 4.75/5.16 (20464) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 aScalar0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y
% 4.75/5.16 ), sdtasdt0( X, Z ) ) }.
% 4.75/5.16 (20465) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 aScalar0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z
% 4.75/5.16 ), sdtasdt0( Y, Z ) ) }.
% 4.75/5.16 (20466) {G0,W31,D5,L5,V4,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 aScalar0( Z ), ! aScalar0( T ), sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z,
% 4.75/5.16 T ) ) = sdtpldt0( sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( X, T ) ),
% 4.75/5.16 sdtpldt0( sdtasdt0( Y, Z ), sdtasdt0( Y, T ) ) ) }.
% 4.75/5.16 (20467) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 4.75/5.16 ( X, smndt0( Y ) ) = smndt0( sdtasdt0( X, Y ) ) }.
% 4.75/5.16 (20468) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 4.75/5.16 ( smndt0( X ), Y ) = smndt0( sdtasdt0( X, Y ) ) }.
% 4.75/5.16 (20469) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0
% 4.75/5.16 ( smndt0( X ), smndt0( Y ) ) = sdtasdt0( X, Y ) }.
% 4.75/5.16 (20470) {G0,W1,D1,L1,V0,M1} { && }.
% 4.75/5.16 (20471) {G0,W5,D2,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 4.75/5.16 (20472) {G0,W13,D2,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 4.75/5.16 (20473) {G0,W15,D2,L6,V3,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 aScalar0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 4.75/5.16 , Z ) }.
% 4.75/5.16 (20474) {G0,W21,D3,L7,V4,M7} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T
% 4.75/5.16 ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, T ) ) }.
% 4.75/5.16 (20475) {G0,W24,D3,L8,V4,M8} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 4.75/5.16 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 4.75/5.16 ( Y, T ) ) }.
% 4.75/5.16 (20476) {G0,W10,D2,L4,V2,M4} { ! aScalar0( X ), ! aScalar0( Y ),
% 4.75/5.16 sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.75/5.16 (20477) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 4.75/5.16 sdtpldt0( X, Y ) ) }.
% 4.75/5.16 (20478) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 4.75/5.16 sdtasdt0( X, Y ) ) }.
% 4.75/5.16 (20479) {G0,W7,D3,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( sz0z00,
% 4.75/5.16 sdtasdt0( X, X ) ) }.
% 4.75/5.16 (20480) {G0,W20,D3,L6,V2,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 4.75/5.16 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), ! sdtasdt0( X, X ) =
% 4.75/5.16 sdtasdt0( Y, Y ), X = Y }.
% 4.75/5.16 (20481) {G0,W1,D1,L1,V0,M1} { && }.
% 4.75/5.16 (20482) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 4.75/5.16 aDimensionOf0( X ) ) }.
% 4.75/5.16 (20483) {G0,W8,D3,L3,V2,M3} { ! aVector0( X ), ! aNaturalNumber0( Y ),
% 4.75/5.16 aScalar0( sdtlbdtrb0( X, Y ) ) }.
% 4.75/5.16 (20484) {G0,W12,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 4.75/5.16 , ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 4.75/5.16 (20485) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 4.75/5.16 , ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 4.75/5.16 (20486) {G0,W15,D3,L5,V2,M5} { ! aVector0( X ), aDimensionOf0( X ) = sz00
% 4.75/5.16 , ! aVector0( Y ), ! alpha1( X, Y ), Y = sziznziztdt0( X ) }.
% 4.75/5.16 (20487) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), szszuzczcdt0(
% 4.75/5.16 aDimensionOf0( Y ) ) = aDimensionOf0( X ) }.
% 4.75/5.16 (20488) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 4.75/5.16 (20489) {G0,W12,D4,L3,V2,M3} { ! szszuzczcdt0( aDimensionOf0( Y ) ) =
% 4.75/5.16 aDimensionOf0( X ), ! alpha2( X, Y ), alpha1( X, Y ) }.
% 4.75/5.16 (20490) {G0,W12,D3,L3,V3,M3} { ! alpha2( X, Y ), ! aNaturalNumber0( Z ),
% 4.75/5.16 sdtlbdtrb0( Y, Z ) = sdtlbdtrb0( X, Z ) }.
% 4.75/5.16 (20491) {G0,W7,D3,L2,V4,M2} { aNaturalNumber0( skol2( Z, T ) ), alpha2( X
% 4.75/5.16 , Y ) }.
% 4.75/5.16 (20492) {G0,W14,D4,L2,V2,M2} { ! sdtlbdtrb0( Y, skol2( X, Y ) ) =
% 4.75/5.16 sdtlbdtrb0( X, skol2( X, Y ) ), alpha2( X, Y ) }.
% 4.75/5.16 (20493) {G0,W20,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 4.75/5.16 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 4.75/5.16 aDimensionOf0( sziznziztdt0( X ) ) = aDimensionOf0( sziznziztdt0( Y ) )
% 4.75/5.16 }.
% 4.75/5.16 (20494) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), ! aVector0( Y ), !
% 4.75/5.16 aDimensionOf0( X ) = aDimensionOf0( Y ), aScalar0( sdtasasdt0( X, Y ) )
% 4.75/5.16 }.
% 4.75/5.16 (20495) {G0,W18,D3,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 4.75/5.16 aDimensionOf0( X ) = aDimensionOf0( Y ), ! aDimensionOf0( Y ) = sz00,
% 4.75/5.16 sdtasasdt0( X, Y ) = sz0z00 }.
% 4.75/5.16 (20496) {G0,W32,D6,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 4.75/5.16 aDimensionOf0( X ) = aDimensionOf0( Y ), aDimensionOf0( Y ) = sz00,
% 4.75/5.16 sdtasasdt0( X, Y ) = sdtpldt0( sdtasasdt0( sziznziztdt0( X ),
% 4.75/5.16 sziznziztdt0( Y ) ), sdtasdt0( sdtlbdtrb0( X, aDimensionOf0( X ) ),
% 4.75/5.16 sdtlbdtrb0( Y, aDimensionOf0( Y ) ) ) ) }.
% 4.75/5.16 (20497) {G0,W7,D3,L2,V1,M2} { ! aVector0( X ), sdtlseqdt0( sz0z00,
% 4.75/5.16 sdtasasdt0( X, X ) ) }.
% 4.75/5.16 (20498) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 4.75/5.16 (20499) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 4.75/5.16 (20500) {G0,W29,D4,L5,V2,M5} { ! aVector0( X ), ! aVector0( Y ), !
% 4.75/5.16 aDimensionOf0( X ) = aDimensionOf0( Y ), ! iLess0( aDimensionOf0( X ),
% 4.75/5.16 aDimensionOf0( xs ) ), sdtlseqdt0( sdtasdt0( sdtasasdt0( X, Y ),
% 4.75/5.16 sdtasasdt0( X, Y ) ), sdtasdt0( sdtasasdt0( X, X ), sdtasasdt0( Y, Y ) )
% 4.75/5.16 ) }.
% 4.75/5.16 (20501) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) = aDimensionOf0( xt )
% 4.75/5.16 }.
% 4.75/5.16 (20502) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xs ) = sz00 }.
% 4.75/5.16 (20503) {G0,W2,D2,L1,V0,M1} { aVector0( xp ) }.
% 4.75/5.16 (20504) {G0,W6,D4,L1,V0,M1} { szszuzczcdt0( aDimensionOf0( xp ) ) =
% 4.75/5.16 aDimensionOf0( xs ) }.
% 4.75/5.16 (20505) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlbdtrb0( xp, X )
% 4.75/5.16 = sdtlbdtrb0( xs, X ) }.
% 4.75/5.16 (20506) {G0,W4,D3,L1,V0,M1} { xp = sziznziztdt0( xs ) }.
% 4.75/5.16 (20507) {G0,W2,D2,L1,V0,M1} { aVector0( xq ) }.
% 4.75/5.16 (20508) {G0,W6,D4,L1,V0,M1} { szszuzczcdt0( aDimensionOf0( xq ) ) =
% 4.75/5.16 aDimensionOf0( xt ) }.
% 4.75/5.16 (20509) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlbdtrb0( xq, X )
% 4.75/5.16 = sdtlbdtrb0( xt, X ) }.
% 4.75/5.16 (20510) {G0,W4,D3,L1,V0,M1} { xq = sziznziztdt0( xt ) }.
% 4.75/5.16 (20511) {G0,W2,D2,L1,V0,M1} { aScalar0( xA ) }.
% 4.75/5.16 (20512) {G0,W6,D4,L1,V0,M1} { xA = sdtlbdtrb0( xs, aDimensionOf0( xs ) )
% 4.75/5.16 }.
% 4.75/5.16 (20513) {G0,W2,D2,L1,V0,M1} { aScalar0( xB ) }.
% 4.75/5.16 (20514) {G0,W6,D4,L1,V0,M1} { xB = sdtlbdtrb0( xt, aDimensionOf0( xt ) )
% 4.75/5.16 }.
% 4.75/5.16 (20515) {G0,W2,D2,L1,V0,M1} { aScalar0( xC ) }.
% 4.75/5.16 (20516) {G0,W5,D3,L1,V0,M1} { xC = sdtasasdt0( xp, xp ) }.
% 4.75/5.16 (20517) {G0,W2,D2,L1,V0,M1} { aScalar0( xD ) }.
% 4.75/5.16 (20518) {G0,W5,D3,L1,V0,M1} { xD = sdtasasdt0( xq, xq ) }.
% 4.75/5.16 (20519) {G0,W2,D2,L1,V0,M1} { aScalar0( xE ) }.
% 4.75/5.16 (20520) {G0,W5,D3,L1,V0,M1} { xE = sdtasasdt0( xp, xq ) }.
% 4.75/5.16 (20521) {G0,W2,D2,L1,V0,M1} { aScalar0( xF ) }.
% 4.75/5.16 (20522) {G0,W5,D3,L1,V0,M1} { xF = sdtasdt0( xA, xA ) }.
% 4.75/5.16 (20523) {G0,W2,D2,L1,V0,M1} { aScalar0( xG ) }.
% 4.75/5.16 (20524) {G0,W5,D3,L1,V0,M1} { xG = sdtasdt0( xB, xB ) }.
% 4.75/5.16 (20525) {G0,W2,D2,L1,V0,M1} { aScalar0( xH ) }.
% 4.75/5.16 (20526) {G0,W5,D3,L1,V0,M1} { xH = sdtasdt0( xA, xB ) }.
% 4.75/5.16 (20527) {G0,W2,D2,L1,V0,M1} { aScalar0( xR ) }.
% 4.75/5.16 (20528) {G0,W5,D3,L1,V0,M1} { xR = sdtasdt0( xC, xG ) }.
% 4.75/5.16 (20529) {G0,W2,D2,L1,V0,M1} { aScalar0( xP ) }.
% 4.75/5.16 (20530) {G0,W5,D3,L1,V0,M1} { xP = sdtasdt0( xE, xH ) }.
% 4.75/5.16 (20531) {G0,W2,D2,L1,V0,M1} { aScalar0( xS ) }.
% 4.75/5.16 (20532) {G0,W5,D3,L1,V0,M1} { xS = sdtasdt0( xF, xD ) }.
% 4.75/5.16 (20533) {G0,W2,D2,L1,V0,M1} { aScalar0( xN ) }.
% 4.75/5.16 (20534) {G0,W5,D3,L1,V0,M1} { xN = sdtasdt0( xR, xS ) }.
% 4.75/5.16 (20535) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xE, xE ), sdtasdt0( xC
% 4.75/5.16 , xD ) ) }.
% 4.75/5.16 (20536) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xP, xP ), xN ) }.
% 4.75/5.16 (20537) {G0,W15,D4,L1,V0,M1} { sdtlseqdt0( sdtpldt0( sdtasdt0( xP, xP ),
% 4.75/5.16 sdtasdt0( xP, xP ) ), sdtpldt0( sdtasdt0( xR, xR ), sdtasdt0( xS, xS ) )
% 4.75/5.16 ) }.
% 4.75/5.16 (20538) {G0,W15,D4,L1,V0,M1} { sdtlseqdt0( sdtasdt0( sdtpldt0( xP, xP ),
% 4.75/5.16 sdtpldt0( xP, xP ) ), sdtasdt0( sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) )
% 4.75/5.16 ) }.
% 4.75/5.16 (20539) {G0,W7,D3,L1,V0,M1} { ! sdtlseqdt0( sdtpldt0( xP, xP ), sdtpldt0(
% 4.75/5.16 xR, xS ) ) }.
% 4.75/5.16 (20540) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP
% 4.75/5.16 , xP ) ) }.
% 4.75/5.16 (20541) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.16 (20542) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sz0z00, sdtpldt0( xP, xP ) ) }.
% 4.75/5.16 (20543) {G0,W15,D4,L1,V0,M1} { ! sdtlseqdt0( sdtasdt0( sdtpldt0( xR, xS )
% 4.75/5.16 , sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0( xP, xP )
% 4.75/5.16 ) ) }.
% 4.75/5.16
% 4.75/5.16
% 4.75/5.16 Total Proof:
% 4.75/5.16
% 4.75/5.16 subsumption: (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y ),
% 4.75/5.16 aScalar0( sdtpldt0( X, Y ) ) }.
% 4.75/5.16 parent0: (20437) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ),
% 4.75/5.16 aScalar0( sdtpldt0( X, Y ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 X := X
% 4.75/5.16 Y := Y
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 1 ==> 1
% 4.75/5.16 2 ==> 2
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 subsumption: (46) {G0,W24,D3,L8,V4,M8} I { ! aScalar0( X ), ! aScalar0( Y )
% 4.75/5.16 , ! aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 4.75/5.16 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 4.75/5.16 ( Y, T ) ) }.
% 4.75/5.16 parent0: (20475) {G0,W24,D3,L8,V4,M8} { ! aScalar0( X ), ! aScalar0( Y ),
% 4.75/5.16 ! aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 4.75/5.16 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 4.75/5.16 ( Y, T ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 X := X
% 4.75/5.16 Y := Y
% 4.75/5.16 Z := Z
% 4.75/5.16 T := T
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 1 ==> 1
% 4.75/5.16 2 ==> 2
% 4.75/5.16 3 ==> 3
% 4.75/5.16 4 ==> 4
% 4.75/5.16 5 ==> 5
% 4.75/5.16 6 ==> 6
% 4.75/5.16 7 ==> 7
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 subsumption: (97) {G0,W2,D2,L1,V0,M1} I { aScalar0( xR ) }.
% 4.75/5.16 parent0: (20527) {G0,W2,D2,L1,V0,M1} { aScalar0( xR ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 subsumption: (99) {G0,W2,D2,L1,V0,M1} I { aScalar0( xP ) }.
% 4.75/5.16 parent0: (20529) {G0,W2,D2,L1,V0,M1} { aScalar0( xP ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 subsumption: (101) {G0,W2,D2,L1,V0,M1} I { aScalar0( xS ) }.
% 4.75/5.16 parent0: (20531) {G0,W2,D2,L1,V0,M1} { aScalar0( xS ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 subsumption: (110) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtpldt0( xR, xS ),
% 4.75/5.16 sdtpldt0( xP, xP ) ) }.
% 4.75/5.16 parent0: (20540) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtpldt0( xR, xS ),
% 4.75/5.16 sdtpldt0( xP, xP ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 subsumption: (111) {G0,W5,D3,L1,V0,M1} I { sdtlseqdt0( sz0z00, sdtpldt0( xR
% 4.75/5.16 , xS ) ) }.
% 4.75/5.16 parent0: (20541) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sz0z00, sdtpldt0( xR,
% 4.75/5.16 xS ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 subsumption: (113) {G0,W15,D4,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0(
% 4.75/5.16 sdtpldt0( xR, xS ), sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ),
% 4.75/5.16 sdtpldt0( xP, xP ) ) ) }.
% 4.75/5.16 parent0: (20543) {G0,W15,D4,L1,V0,M1} { ! sdtlseqdt0( sdtasdt0( sdtpldt0(
% 4.75/5.16 xR, xS ), sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0(
% 4.75/5.16 xP, xP ) ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 factor: (22236) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( sdtpldt0
% 4.75/5.16 ( X, X ) ) }.
% 4.75/5.16 parent0[0, 1]: (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y )
% 4.75/5.16 , aScalar0( sdtpldt0( X, Y ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 X := X
% 4.75/5.16 Y := X
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 subsumption: (114) {G1,W6,D3,L2,V1,M2} F(9) { ! aScalar0( X ), aScalar0(
% 4.75/5.16 sdtpldt0( X, X ) ) }.
% 4.75/5.16 parent0: (22236) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( sdtpldt0
% 4.75/5.16 ( X, X ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 X := X
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 1 ==> 1
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 resolution: (22237) {G1,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0(
% 4.75/5.16 sdtpldt0( xR, X ) ) }.
% 4.75/5.16 parent0[0]: (9) {G0,W8,D3,L3,V2,M3} I { ! aScalar0( X ), ! aScalar0( Y ),
% 4.75/5.16 aScalar0( sdtpldt0( X, Y ) ) }.
% 4.75/5.16 parent1[0]: (97) {G0,W2,D2,L1,V0,M1} I { aScalar0( xR ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 X := xR
% 4.75/5.16 Y := X
% 4.75/5.16 end
% 4.75/5.16 substitution1:
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 subsumption: (313) {G1,W6,D3,L2,V1,M2} R(9,97) { ! aScalar0( X ), aScalar0
% 4.75/5.16 ( sdtpldt0( xR, X ) ) }.
% 4.75/5.16 parent0: (22237) {G1,W6,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( sdtpldt0
% 4.75/5.16 ( xR, X ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 X := X
% 4.75/5.16 end
% 4.75/5.16 permutation0:
% 4.75/5.16 0 ==> 0
% 4.75/5.16 1 ==> 1
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 resolution: (22239) {G1,W35,D3,L7,V0,M7} { ! aScalar0( sdtpldt0( xR, xS )
% 4.75/5.16 ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ), !
% 4.75/5.16 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sdtpldt0( xR, xS ),
% 4.75/5.16 sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ), !
% 4.75/5.16 sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP, xP ) ) }.
% 4.75/5.16 parent0[0]: (113) {G0,W15,D4,L1,V0,M1} I { ! sdtlseqdt0( sdtasdt0( sdtpldt0
% 4.75/5.16 ( xR, xS ), sdtpldt0( xR, xS ) ), sdtasdt0( sdtpldt0( xP, xP ), sdtpldt0
% 4.75/5.16 ( xP, xP ) ) ) }.
% 4.75/5.16 parent1[7]: (46) {G0,W24,D3,L8,V4,M8} I { ! aScalar0( X ), ! aScalar0( Y )
% 4.75/5.16 , ! aScalar0( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0(
% 4.75/5.16 sz0z00, Z ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0
% 4.75/5.16 ( Y, T ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 end
% 4.75/5.16 substitution1:
% 4.75/5.16 X := sdtpldt0( xR, xS )
% 4.75/5.16 Y := sdtpldt0( xP, xP )
% 4.75/5.16 Z := sdtpldt0( xR, xS )
% 4.75/5.16 T := sdtpldt0( xP, xP )
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 factor: (22241) {G1,W28,D3,L6,V0,M6} { ! aScalar0( sdtpldt0( xR, xS ) ), !
% 4.75/5.16 aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ), !
% 4.75/5.16 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sdtpldt0( xR, xS ),
% 4.75/5.16 sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.16 parent0[4, 6]: (22239) {G1,W35,D3,L7,V0,M7} { ! aScalar0( sdtpldt0( xR, xS
% 4.75/5.16 ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) )
% 4.75/5.16 , ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sdtpldt0( xR, xS ),
% 4.75/5.16 sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ), !
% 4.75/5.16 sdtlseqdt0( sdtpldt0( xR, xS ), sdtpldt0( xP, xP ) ) }.
% 4.75/5.16 substitution0:
% 4.75/5.16 end
% 4.75/5.16
% 4.75/5.16 resolution: (22247) {G1,W21,D3,L5,V0,M5} { ! aScalar0( sdtpldt0( xR, xS )
% 4.75/5.16 ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ), !
% 4.75/5.16 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS )
% 4.75/5.16 ) }.
% 4.75/5.16 parent0[4]: (22241) {G1,W28,D3,L6,V0,M6} { ! aScalar0( sdtpldt0( xR, xS )
% 4.75/5.16 ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) ), !
% 4.75/5.16 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sdtpldt0( xR, xS ),
% 4.75/5.17 sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.17 parent1[0]: (110) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtpldt0( xR, xS ),
% 4.75/5.17 sdtpldt0( xP, xP ) ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17 substitution1:
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 factor: (22248) {G1,W17,D3,L4,V0,M4} { ! aScalar0( sdtpldt0( xR, xS ) ), !
% 4.75/5.17 aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xP, xP ) ), !
% 4.75/5.17 sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.17 parent0[0, 2]: (22247) {G1,W21,D3,L5,V0,M5} { ! aScalar0( sdtpldt0( xR, xS
% 4.75/5.17 ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xR, xS ) )
% 4.75/5.17 , ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR,
% 4.75/5.17 xS ) ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 factor: (22249) {G1,W13,D3,L3,V0,M3} { ! aScalar0( sdtpldt0( xR, xS ) ), !
% 4.75/5.17 aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS )
% 4.75/5.17 ) }.
% 4.75/5.17 parent0[1, 2]: (22248) {G1,W17,D3,L4,V0,M4} { ! aScalar0( sdtpldt0( xR, xS
% 4.75/5.17 ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! aScalar0( sdtpldt0( xP, xP ) )
% 4.75/5.17 , ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 subsumption: (4751) {G1,W13,D3,L3,V0,M3} R(113,46);f;f;f;r(110) { !
% 4.75/5.17 aScalar0( sdtpldt0( xR, xS ) ), ! aScalar0( sdtpldt0( xP, xP ) ), !
% 4.75/5.17 sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.17 parent0: (22249) {G1,W13,D3,L3,V0,M3} { ! aScalar0( sdtpldt0( xR, xS ) ),
% 4.75/5.17 ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS
% 4.75/5.17 ) ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17 permutation0:
% 4.75/5.17 0 ==> 0
% 4.75/5.17 1 ==> 1
% 4.75/5.17 2 ==> 2
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 resolution: (22250) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xP, xP ) )
% 4.75/5.17 }.
% 4.75/5.17 parent0[0]: (114) {G1,W6,D3,L2,V1,M2} F(9) { ! aScalar0( X ), aScalar0(
% 4.75/5.17 sdtpldt0( X, X ) ) }.
% 4.75/5.17 parent1[0]: (99) {G0,W2,D2,L1,V0,M1} I { aScalar0( xP ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 X := xP
% 4.75/5.17 end
% 4.75/5.17 substitution1:
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 subsumption: (4813) {G2,W4,D3,L1,V0,M1} R(114,99) { aScalar0( sdtpldt0( xP
% 4.75/5.17 , xP ) ) }.
% 4.75/5.17 parent0: (22250) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xP, xP ) ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17 permutation0:
% 4.75/5.17 0 ==> 0
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 resolution: (22251) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xR, xS ) )
% 4.75/5.17 }.
% 4.75/5.17 parent0[0]: (313) {G1,W6,D3,L2,V1,M2} R(9,97) { ! aScalar0( X ), aScalar0(
% 4.75/5.17 sdtpldt0( xR, X ) ) }.
% 4.75/5.17 parent1[0]: (101) {G0,W2,D2,L1,V0,M1} I { aScalar0( xS ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 X := xS
% 4.75/5.17 end
% 4.75/5.17 substitution1:
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 subsumption: (18364) {G2,W4,D3,L1,V0,M1} R(313,101) { aScalar0( sdtpldt0(
% 4.75/5.17 xR, xS ) ) }.
% 4.75/5.17 parent0: (22251) {G1,W4,D3,L1,V0,M1} { aScalar0( sdtpldt0( xR, xS ) ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17 permutation0:
% 4.75/5.17 0 ==> 0
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 resolution: (22252) {G2,W9,D3,L2,V0,M2} { ! aScalar0( sdtpldt0( xP, xP ) )
% 4.75/5.17 , ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.17 parent0[0]: (4751) {G1,W13,D3,L3,V0,M3} R(113,46);f;f;f;r(110) { ! aScalar0
% 4.75/5.17 ( sdtpldt0( xR, xS ) ), ! aScalar0( sdtpldt0( xP, xP ) ), ! sdtlseqdt0(
% 4.75/5.17 sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.17 parent1[0]: (18364) {G2,W4,D3,L1,V0,M1} R(313,101) { aScalar0( sdtpldt0( xR
% 4.75/5.17 , xS ) ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17 substitution1:
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 resolution: (22253) {G3,W5,D3,L1,V0,M1} { ! sdtlseqdt0( sz0z00, sdtpldt0(
% 4.75/5.17 xR, xS ) ) }.
% 4.75/5.17 parent0[0]: (22252) {G2,W9,D3,L2,V0,M2} { ! aScalar0( sdtpldt0( xP, xP ) )
% 4.75/5.17 , ! sdtlseqdt0( sz0z00, sdtpldt0( xR, xS ) ) }.
% 4.75/5.17 parent1[0]: (4813) {G2,W4,D3,L1,V0,M1} R(114,99) { aScalar0( sdtpldt0( xP,
% 4.75/5.17 xP ) ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17 substitution1:
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 resolution: (22254) {G1,W0,D0,L0,V0,M0} { }.
% 4.75/5.17 parent0[0]: (22253) {G3,W5,D3,L1,V0,M1} { ! sdtlseqdt0( sz0z00, sdtpldt0(
% 4.75/5.17 xR, xS ) ) }.
% 4.75/5.17 parent1[0]: (111) {G0,W5,D3,L1,V0,M1} I { sdtlseqdt0( sz0z00, sdtpldt0( xR
% 4.75/5.17 , xS ) ) }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17 substitution1:
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 subsumption: (20424) {G3,W0,D0,L0,V0,M0} S(4751);r(18364);r(4813);r(111) {
% 4.75/5.17 }.
% 4.75/5.17 parent0: (22254) {G1,W0,D0,L0,V0,M0} { }.
% 4.75/5.17 substitution0:
% 4.75/5.17 end
% 4.75/5.17 permutation0:
% 4.75/5.17 end
% 4.75/5.17
% 4.75/5.17 Proof check complete!
% 4.75/5.17
% 4.75/5.17 Memory use:
% 4.75/5.17
% 4.75/5.17 space for terms: 265496
% 4.75/5.17 space for clauses: 1148353
% 4.75/5.17
% 4.75/5.17
% 4.75/5.17 clauses generated: 81845
% 4.75/5.17 clauses kept: 20425
% 4.75/5.17 clauses selected: 1232
% 4.75/5.17 clauses deleted: 825
% 4.75/5.17 clauses inuse deleted: 51
% 4.75/5.17
% 4.75/5.17 subsentry: 187716
% 4.75/5.17 literals s-matched: 67477
% 4.75/5.17 literals matched: 52387
% 4.75/5.17 full subsumption: 27208
% 4.75/5.17
% 4.75/5.17 checksum: -1952013060
% 4.75/5.17
% 4.75/5.17
% 4.75/5.17 Bliksem ended
%------------------------------------------------------------------------------