TSTP Solution File: NUM478+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM478+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 06:22:42 EDT 2022
% Result : Theorem 59.56s 59.94s
% Output : Refutation 59.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM478+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Tue Jul 5 10:16:02 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.43/1.06 *** allocated 10000 integers for termspace/termends
% 0.43/1.06 *** allocated 10000 integers for clauses
% 0.43/1.06 *** allocated 10000 integers for justifications
% 0.43/1.06 Bliksem 1.12
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Automatic Strategy Selection
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Clauses:
% 0.43/1.06
% 0.43/1.06 { && }.
% 0.43/1.06 { aNaturalNumber0( sz00 ) }.
% 0.43/1.06 { aNaturalNumber0( sz10 ) }.
% 0.43/1.06 { ! sz10 = sz00 }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.43/1.06 ( X, Y ) ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.43/1.06 ( X, Y ) ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.43/1.06 sdtpldt0( Y, X ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.43/1.06 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.43/1.06 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.43/1.06 sdtasdt0( Y, X ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.43/1.06 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.43/1.06 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.43/1.06 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.43/1.06 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.43/1.06 , Z ) ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.43/1.06 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.43/1.06 , X ) ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.43/1.06 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.43/1.06 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.43/1.06 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.43/1.06 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.43/1.06 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.43/1.06 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.43/1.06 , X = sz00 }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.43/1.06 , Y = sz00 }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.43/1.06 , X = sz00, Y = sz00 }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.43/1.06 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.43/1.06 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.43/1.06 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.43/1.06 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.43/1.06 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.43/1.06 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.43/1.06 sdtlseqdt0( Y, X ), X = Y }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.43/1.06 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.43/1.06 X }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.43/1.06 sdtlseqdt0( Y, X ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.43/1.06 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.43/1.06 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.43/1.06 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.43/1.06 ) ) }.
% 0.43/1.06 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.43/1.06 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.43/1.06 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 16.57/16.94 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 16.57/16.94 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 16.57/16.94 ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 16.57/16.94 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 16.57/16.94 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 16.57/16.94 sdtasdt0( Z, X ) ) }.
% 16.57/16.94 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 16.57/16.94 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 16.57/16.94 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 16.57/16.94 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 16.57/16.94 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 16.57/16.94 ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 16.57/16.94 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 16.57/16.94 sdtasdt0( Y, X ) ) }.
% 16.57/16.94 { && }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 16.57/16.94 ), iLess0( X, Y ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 16.57/16.94 aNaturalNumber0( skol2( Z, T ) ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 16.57/16.94 sdtasdt0( X, skol2( X, Y ) ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 16.57/16.94 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 16.57/16.94 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 16.57/16.94 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 16.57/16.94 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 16.57/16.94 ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 16.57/16.94 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 16.57/16.94 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 16.57/16.94 ) ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 16.57/16.94 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 16.57/16.94 Z ) }.
% 16.57/16.94 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 16.57/16.94 sz00, sdtlseqdt0( X, Y ) }.
% 16.57/16.94 { aNaturalNumber0( xl ) }.
% 16.57/16.94 { aNaturalNumber0( xm ) }.
% 16.57/16.94 { ! xl = sz00 }.
% 16.57/16.94 { aNaturalNumber0( skol3 ) }.
% 16.57/16.94 { xm = sdtasdt0( xl, skol3 ) }.
% 16.57/16.94 { doDivides0( xl, xm ) }.
% 16.57/16.94 { aNaturalNumber0( xn ) }.
% 16.57/16.94 { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 16.57/16.94 { xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ) }.
% 16.57/16.94 { ! sdtasdt0( xn, xm ) = sdtasdt0( xl, sdtasdt0( xn, sdtsldt0( xm, xl ) ) )
% 16.57/16.94 }.
% 16.57/16.94 { ! sdtasdt0( xn, sdtsldt0( xm, xl ) ) = sdtsldt0( sdtasdt0( xn, xm ), xl )
% 16.57/16.94 }.
% 16.57/16.94
% 16.57/16.94 percentage equality = 0.294574, percentage horn = 0.753425
% 16.57/16.94 This is a problem with some equality
% 16.57/16.94
% 16.57/16.94
% 16.57/16.94
% 16.57/16.94 Options Used:
% 16.57/16.94
% 16.57/16.94 useres = 1
% 16.57/16.94 useparamod = 1
% 16.57/16.94 useeqrefl = 1
% 16.57/16.94 useeqfact = 1
% 16.57/16.94 usefactor = 1
% 16.57/16.94 usesimpsplitting = 0
% 16.57/16.94 usesimpdemod = 5
% 16.57/16.94 usesimpres = 3
% 16.57/16.94
% 16.57/16.94 resimpinuse = 1000
% 16.57/16.94 resimpclauses = 20000
% 16.57/16.94 substype = eqrewr
% 16.57/16.94 backwardsubs = 1
% 16.57/16.94 selectoldest = 5
% 16.57/16.94
% 16.57/16.94 litorderings [0] = split
% 16.57/16.94 litorderings [1] = extend the termordering, first sorting on arguments
% 16.57/16.94
% 16.57/16.94 termordering = kbo
% 16.57/16.94
% 16.57/16.94 litapriori = 0
% 16.57/16.94 termapriori = 1
% 16.57/16.94 litaposteriori = 0
% 16.57/16.94 termaposteriori = 0
% 16.57/16.94 demodaposteriori = 0
% 16.57/16.94 ordereqreflfact = 0
% 16.57/16.94
% 16.57/16.94 litselect = negord
% 16.57/16.94
% 16.57/16.94 maxweight = 15
% 16.57/16.94 maxdepth = 30000
% 16.57/16.94 maxlength = 115
% 16.57/16.94 maxnrvars = 195
% 16.57/16.94 excuselevel = 1
% 16.57/16.94 increasemaxweight = 1
% 16.57/16.94
% 16.57/16.94 maxselected = 10000000
% 16.57/16.94 maxnrclauses = 10000000
% 16.57/16.94
% 16.57/16.94 showgenerated = 0
% 16.57/16.94 showkept = 0
% 16.57/16.94 showselected = 0
% 16.57/16.94 showdeleted = 0
% 16.57/16.94 showresimp = 1
% 16.57/16.94 showstatus = 2000
% 16.57/16.94
% 16.57/16.94 prologoutput = 0
% 16.57/16.94 nrgoals = 5000000
% 16.57/16.94 totalproof = 1
% 16.57/16.94
% 16.57/16.94 Symbols occurring in the translation:
% 16.57/16.94
% 16.57/16.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 59.56/59.93 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 59.56/59.93 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 59.56/59.93 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 59.56/59.93 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 59.56/59.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 59.56/59.93 aNaturalNumber0 [36, 1] (w:1, o:20, a:1, s:1, b:0),
% 59.56/59.93 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 59.56/59.93 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 59.56/59.93 sdtpldt0 [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 59.56/59.93 sdtasdt0 [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 59.56/59.93 sdtlseqdt0 [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 59.56/59.93 sdtmndt0 [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 59.56/59.93 iLess0 [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 59.56/59.93 doDivides0 [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 59.56/59.93 sdtsldt0 [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 59.56/59.93 xl [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 59.56/59.93 xm [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 59.56/59.93 xn [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 59.56/59.93 alpha1 [51, 3] (w:1, o:54, a:1, s:1, b:1),
% 59.56/59.93 alpha2 [52, 3] (w:1, o:55, a:1, s:1, b:1),
% 59.56/59.93 skol1 [53, 2] (w:1, o:52, a:1, s:1, b:1),
% 59.56/59.93 skol2 [54, 2] (w:1, o:53, a:1, s:1, b:1),
% 59.56/59.93 skol3 [55, 0] (w:1, o:14, a:1, s:1, b:1).
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Starting Search:
% 59.56/59.93
% 59.56/59.93 *** allocated 15000 integers for clauses
% 59.56/59.93 *** allocated 22500 integers for clauses
% 59.56/59.93 *** allocated 33750 integers for clauses
% 59.56/59.93 *** allocated 50625 integers for clauses
% 59.56/59.93 *** allocated 15000 integers for termspace/termends
% 59.56/59.93 *** allocated 75937 integers for clauses
% 59.56/59.93 *** allocated 22500 integers for termspace/termends
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 113905 integers for clauses
% 59.56/59.93 *** allocated 33750 integers for termspace/termends
% 59.56/59.93 *** allocated 170857 integers for clauses
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 10610
% 59.56/59.93 Kept: 2017
% 59.56/59.93 Inuse: 110
% 59.56/59.93 Deleted: 5
% 59.56/59.93 Deletedinuse: 5
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 50625 integers for termspace/termends
% 59.56/59.93 *** allocated 256285 integers for clauses
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 75937 integers for termspace/termends
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 24116
% 59.56/59.93 Kept: 4157
% 59.56/59.93 Inuse: 164
% 59.56/59.93 Deleted: 7
% 59.56/59.93 Deletedinuse: 5
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 113905 integers for termspace/termends
% 59.56/59.93 *** allocated 384427 integers for clauses
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 170857 integers for termspace/termends
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 45819
% 59.56/59.93 Kept: 6177
% 59.56/59.93 Inuse: 209
% 59.56/59.93 Deleted: 12
% 59.56/59.93 Deletedinuse: 5
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 576640 integers for clauses
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 59595
% 59.56/59.93 Kept: 8260
% 59.56/59.93 Inuse: 236
% 59.56/59.93 Deleted: 16
% 59.56/59.93 Deletedinuse: 6
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 256285 integers for termspace/termends
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 79958
% 59.56/59.93 Kept: 10341
% 59.56/59.93 Inuse: 270
% 59.56/59.93 Deleted: 22
% 59.56/59.93 Deletedinuse: 11
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 864960 integers for clauses
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 107375
% 59.56/59.93 Kept: 12404
% 59.56/59.93 Inuse: 383
% 59.56/59.93 Deleted: 30
% 59.56/59.93 Deletedinuse: 12
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 384427 integers for termspace/termends
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 136656
% 59.56/59.93 Kept: 14429
% 59.56/59.93 Inuse: 434
% 59.56/59.93 Deleted: 40
% 59.56/59.93 Deletedinuse: 13
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 152794
% 59.56/59.93 Kept: 16432
% 59.56/59.93 Inuse: 479
% 59.56/59.93 Deleted: 43
% 59.56/59.93 Deletedinuse: 14
% 59.56/59.93
% 59.56/59.93 *** allocated 1297440 integers for clauses
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 176854
% 59.56/59.93 Kept: 18827
% 59.56/59.93 Inuse: 518
% 59.56/59.93 Deleted: 49
% 59.56/59.93 Deletedinuse: 16
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying clauses:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 201693
% 59.56/59.93 Kept: 21389
% 59.56/59.93 Inuse: 546
% 59.56/59.93 Deleted: 3397
% 59.56/59.93 Deletedinuse: 16
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 241756
% 59.56/59.93 Kept: 23399
% 59.56/59.93 Inuse: 592
% 59.56/59.93 Deleted: 3419
% 59.56/59.93 Deletedinuse: 38
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 576640 integers for termspace/termends
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 1946160 integers for clauses
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 275978
% 59.56/59.93 Kept: 25510
% 59.56/59.93 Inuse: 646
% 59.56/59.93 Deleted: 3421
% 59.56/59.93 Deletedinuse: 38
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 284886
% 59.56/59.93 Kept: 27519
% 59.56/59.93 Inuse: 664
% 59.56/59.93 Deleted: 3421
% 59.56/59.93 Deletedinuse: 38
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 295729
% 59.56/59.93 Kept: 30009
% 59.56/59.93 Inuse: 690
% 59.56/59.93 Deleted: 3427
% 59.56/59.93 Deletedinuse: 43
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 305804
% 59.56/59.93 Kept: 33111
% 59.56/59.93 Inuse: 705
% 59.56/59.93 Deleted: 3439
% 59.56/59.93 Deletedinuse: 55
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 311997
% 59.56/59.93 Kept: 35858
% 59.56/59.93 Inuse: 715
% 59.56/59.93 Deleted: 3439
% 59.56/59.93 Deletedinuse: 55
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 Resimplifying inuse:
% 59.56/59.93 Done
% 59.56/59.93
% 59.56/59.93 *** allocated 864960 integers for termspace/termends
% 59.56/59.93 *** allocated 2919240 integers for clauses
% 59.56/59.93
% 59.56/59.93 Intermediate Status:
% 59.56/59.93 Generated: 330109
% 59.56/59.93 Kept: 37893
% 59.56/59.94 Inuse: 755
% 59.56/59.94 Deleted: 3445
% 59.56/59.94 Deletedinuse: 61
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 350840
% 59.56/59.94 Kept: 39893
% 59.56/59.94 Inuse: 795
% 59.56/59.94 Deleted: 3447
% 59.56/59.94 Deletedinuse: 61
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying clauses:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 372706
% 59.56/59.94 Kept: 42567
% 59.56/59.94 Inuse: 823
% 59.56/59.94 Deleted: 14216
% 59.56/59.94 Deletedinuse: 135
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 391604
% 59.56/59.94 Kept: 44708
% 59.56/59.94 Inuse: 863
% 59.56/59.94 Deleted: 14241
% 59.56/59.94 Deletedinuse: 160
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 413109
% 59.56/59.94 Kept: 46729
% 59.56/59.94 Inuse: 917
% 59.56/59.94 Deleted: 14241
% 59.56/59.94 Deletedinuse: 160
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 438201
% 59.56/59.94 Kept: 48742
% 59.56/59.94 Inuse: 981
% 59.56/59.94 Deleted: 14241
% 59.56/59.94 Deletedinuse: 160
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 476098
% 59.56/59.94 Kept: 50918
% 59.56/59.94 Inuse: 1091
% 59.56/59.94 Deleted: 14252
% 59.56/59.94 Deletedinuse: 164
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 486199
% 59.56/59.94 Kept: 52923
% 59.56/59.94 Inuse: 1145
% 59.56/59.94 Deleted: 14255
% 59.56/59.94 Deletedinuse: 167
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 501630
% 59.56/59.94 Kept: 55013
% 59.56/59.94 Inuse: 1221
% 59.56/59.94 Deleted: 14255
% 59.56/59.94 Deletedinuse: 167
% 59.56/59.94
% 59.56/59.94 *** allocated 4378860 integers for clauses
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 534348
% 59.56/59.94 Kept: 57114
% 59.56/59.94 Inuse: 1359
% 59.56/59.94 Deleted: 14308
% 59.56/59.94 Deletedinuse: 211
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 *** allocated 1297440 integers for termspace/termends
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 549963
% 59.56/59.94 Kept: 59185
% 59.56/59.94 Inuse: 1376
% 59.56/59.94 Deleted: 14308
% 59.56/59.94 Deletedinuse: 211
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Intermediate Status:
% 59.56/59.94 Generated: 569749
% 59.56/59.94 Kept: 61192
% 59.56/59.94 Inuse: 1397
% 59.56/59.94 Deleted: 14315
% 59.56/59.94 Deletedinuse: 211
% 59.56/59.94
% 59.56/59.94 Resimplifying inuse:
% 59.56/59.94 Done
% 59.56/59.94
% 59.56/59.94 Resimplifying clauses:
% 59.56/59.94
% 59.56/59.94 Bliksems!, er is een bewijs:
% 59.56/59.94 % SZS status Theorem
% 59.56/59.94 % SZS output start Refutation
% 59.56/59.94
% 59.56/59.94 (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 59.56/59.94 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 59.56/59.94 (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 59.56/59.94 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) ==> sdtasdt0
% 59.56/59.94 ( sdtasdt0( X, Y ), Z ) }.
% 59.56/59.94 (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 59.56/59.94 (63) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 59.56/59.94 (68) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 59.56/59.94 (69) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.94 (70) {G0,W7,D4,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( xm, xl ) ) ==> xm }.
% 59.56/59.94 (71) {G0,W11,D5,L1,V0,M1} I { ! sdtasdt0( xl, sdtasdt0( xn, sdtsldt0( xm,
% 59.56/59.94 xl ) ) ) ==> sdtasdt0( xn, xm ) }.
% 59.56/59.94 (431) {G1,W9,D3,L2,V1,M2} R(10,63) { ! aNaturalNumber0( X ), sdtasdt0( xm,
% 59.56/59.94 X ) = sdtasdt0( X, xm ) }.
% 59.56/59.94 (454) {G1,W15,D4,L3,V2,M3} R(11,62) { ! aNaturalNumber0( X ), !
% 59.56/59.94 aNaturalNumber0( Y ), sdtasdt0( xl, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 59.56/59.94 sdtasdt0( xl, X ), Y ) }.
% 59.56/59.94 (11089) {G2,W11,D3,L2,V0,M2} P(10,71);d(454);d(70);r(68) { !
% 59.56/59.94 aNaturalNumber0( sdtsldt0( xm, xl ) ), ! sdtasdt0( xm, xn ) ==> sdtasdt0
% 59.56/59.94 ( xn, xm ) }.
% 59.56/59.94 (20799) {G3,W7,D3,L1,V0,M1} S(11089);r(69) { ! sdtasdt0( xm, xn ) ==>
% 59.56/59.94 sdtasdt0( xn, xm ) }.
% 59.56/59.94 (55747) {G2,W7,D3,L1,V0,M1} R(431,68) { sdtasdt0( xm, xn ) ==> sdtasdt0( xn
% 59.56/59.94 , xm ) }.
% 59.56/59.94 (62708) {G4,W0,D0,L0,V0,M0} S(55747);r(20799) { }.
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 % SZS output end Refutation
% 59.56/59.94 found a proof!
% 59.56/59.94
% 59.56/59.94
% 59.56/59.94 Unprocessed initial clauses:
% 59.56/59.94
% 59.56/59.94 (62710) {G0,W1,D1,L1,V0,M1} { && }.
% 59.56/59.94 (62711) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 59.56/59.94 (62712) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 59.56/59.94 (62713) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 59.56/59.94 (62714) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 59.56/59.94 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 59.56/59.94 (62715) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 59.56/59.94 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 59.56/59.94 (62716) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 59.56/59.94 (62717) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 59.56/59.94 X, sdtpldt0( Y, Z ) ) }.
% 59.56/59.94 (62718) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 59.56/59.94 = X }.
% 59.56/59.94 (62719) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 59.56/59.94 X ) }.
% 59.56/59.94 (62720) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 59.56/59.94 (62721) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 59.56/59.94 X, sdtasdt0( Y, Z ) ) }.
% 59.56/59.94 (62722) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 59.56/59.94 = X }.
% 59.56/59.94 (62723) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 59.56/59.94 X ) }.
% 59.56/59.94 (62724) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 59.56/59.94 = sz00 }.
% 59.56/59.94 (62725) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 59.56/59.94 sz00, X ) }.
% 59.56/59.94 (62726) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 59.56/59.94 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 59.56/59.94 (62727) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 59.56/59.94 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 59.56/59.94 (62728) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 59.56/59.94 }.
% 59.56/59.94 (62729) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 59.56/59.94 }.
% 59.56/59.94 (62730) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 59.56/59.94 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 59.56/59.94 sdtasdt0( X, Z ), Y = Z }.
% 59.56/59.94 (62731) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 59.56/59.94 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 59.56/59.94 sdtasdt0( Z, X ), Y = Z }.
% 59.56/59.94 (62732) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 59.56/59.94 (62733) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 59.56/59.94 (62734) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 59.56/59.94 (62735) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 59.56/59.94 (62736) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 59.56/59.94 (62737) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 59.56/59.94 }.
% 59.56/59.94 (62738) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 59.56/59.94 }.
% 59.56/59.94 (62739) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 59.56/59.94 }.
% 59.56/59.94 (62740) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 59.56/59.94 , Z = sdtmndt0( Y, X ) }.
% 59.56/59.94 (62741) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 59.56/59.94 }.
% 59.56/59.94 (62742) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 59.56/59.94 (62743) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 59.56/59.94 sdtlseqdt0( X, Z ) }.
% 59.56/59.94 (62744) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 59.56/59.94 (62745) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 59.56/59.94 (62746) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 59.56/59.94 ) }.
% 59.56/59.94 (62747) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 59.56/59.94 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 59.56/59.94 (62748) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 59.56/59.94 sdtpldt0( Z, Y ) }.
% 59.56/59.94 (62749) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 59.56/59.94 Z, X ), sdtpldt0( Z, Y ) ) }.
% 59.56/59.94 (62750) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 59.56/59.94 sdtpldt0( Y, Z ) }.
% 59.56/59.94 (62751) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 59.56/59.94 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 59.56/59.94 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 59.56/59.94 (62752) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 59.56/59.94 alpha2( X, Y, Z ) }.
% 59.56/59.94 (62753) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 59.56/59.94 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 59.56/59.94 (62754) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 59.56/59.94 sdtasdt0( X, Z ) }.
% 59.56/59.94 (62755) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 59.56/59.94 X, Y ), sdtasdt0( X, Z ) ) }.
% 59.56/59.94 (62756) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 59.56/59.94 sdtasdt0( Z, X ) }.
% 59.56/59.94 (62757) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 59.56/59.94 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 59.56/59.94 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 59.56/59.94 (62758) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 59.56/59.94 , ! sz10 = X }.
% 59.56/59.94 (62759) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 59.56/59.94 , sdtlseqdt0( sz10, X ) }.
% 59.56/59.94 (62760) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 59.56/59.94 (62761) {G0,W1,D1,L1,V0,M1} { && }.
% 59.56/59.94 (62762) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 59.56/59.94 (62763) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 59.56/59.94 (62764) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 59.56/59.94 (62765) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 59.56/59.94 }.
% 59.56/59.94 (62766) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 59.56/59.94 aNaturalNumber0( Z ) }.
% 59.56/59.94 (62767) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 59.56/59.94 ( X, Z ) }.
% 59.56/59.94 (62768) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 59.56/59.94 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 59.56/59.94 (62769) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 59.56/59.94 doDivides0( X, Z ) }.
% 59.56/59.94 (62770) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 59.56/59.94 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 59.56/59.94 (62771) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 59.56/59.94 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 59.56/59.94 (62772) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 59.56/59.94 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 59.56/59.94 (62773) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 59.56/59.94 (62774) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 59.56/59.94 (62775) {G0,W3,D2,L1,V0,M1} { ! xl = sz00 }.
% 59.56/59.94 (62776) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 59.56/59.95 (62777) {G0,W5,D3,L1,V0,M1} { xm = sdtasdt0( xl, skol3 ) }.
% 59.56/59.95 (62778) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 59.56/59.95 (62779) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 59.56/59.95 (62780) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.95 (62781) {G0,W7,D4,L1,V0,M1} { xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ) }.
% 59.56/59.95 (62782) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xm ) = sdtasdt0( xl,
% 59.56/59.95 sdtasdt0( xn, sdtsldt0( xm, xl ) ) ) }.
% 59.56/59.95 (62783) {G0,W11,D4,L1,V0,M1} { ! sdtasdt0( xn, sdtsldt0( xm, xl ) ) =
% 59.56/59.95 sdtsldt0( sdtasdt0( xn, xm ), xl ) }.
% 59.56/59.95
% 59.56/59.95
% 59.56/59.95 Total Proof:
% 59.56/59.95
% 59.56/59.95 subsumption: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 59.56/59.95 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 59.56/59.95 parent0: (62720) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 59.56/59.95 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 59.56/59.95 substitution0:
% 59.56/59.95 X := X
% 59.56/59.95 Y := Y
% 59.56/59.95 end
% 59.56/59.95 permutation0:
% 59.56/59.95 0 ==> 0
% 59.56/59.95 1 ==> 1
% 59.56/59.95 2 ==> 2
% 59.56/59.95 end
% 59.56/59.95
% 59.56/59.95 eqswap: (62816) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 59.56/59.95 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 59.56/59.95 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 59.56/59.95 parent0[3]: (62721) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 59.56/59.95 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y )
% 59.56/59.95 , Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 59.56/59.95 substitution0:
% 59.56/59.95 X := X
% 59.56/59.95 Y := Y
% 59.56/59.95 Z := Z
% 59.56/59.95 end
% 59.56/59.95
% 59.56/59.95 subsumption: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 59.56/59.95 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 59.56/59.95 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 59.56/59.95 parent0: (62816) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 59.56/59.95 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 59.56/59.95 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 59.56/59.95 substitution0:
% 59.56/59.95 X := X
% 59.56/59.95 Y := Y
% 59.56/59.95 Z := Z
% 59.56/59.95 end
% 59.56/59.95 permutation0:
% 59.56/59.95 0 ==> 3
% 59.56/59.95 1 ==> 0
% 59.56/59.95 2 ==> 1
% 59.56/59.95 3 ==> 2
% 59.56/59.95 end
% 59.56/59.95
% 59.56/59.95 subsumption: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 59.56/59.95 parent0: (62773) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 59.56/59.95 substitution0:
% 59.56/59.95 end
% 59.56/59.95 permutation0:
% 59.56/59.95 0 ==> 0
% 59.56/59.95 end
% 59.56/59.95
% 59.56/59.95 subsumption: (63) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 59.56/59.95 parent0: (62774) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 59.56/59.95 substitution0:
% 59.56/59.95 end
% 59.56/59.95 permutation0:
% 59.56/59.95 0 ==> 0
% 59.56/59.95 end
% 59.56/59.95
% 59.56/59.95 subsumption: (68) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 59.56/59.95 parent0: (62779) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 59.56/59.95 substitution0:
% 59.56/59.95 end
% 59.56/59.95 permutation0:
% 59.56/59.95 0 ==> 0
% 59.56/59.95 end
% 59.56/59.95
% 59.56/59.95 subsumption: (69) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xm, xl
% 59.56/59.95 ) ) }.
% 59.56/59.95 parent0: (62780) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xm, xl )
% 59.56/59.95 ) }.
% 59.56/59.95 substitution0:
% 59.56/59.95 end
% 59.56/59.95 permutation0:
% 59.56/59.95 0 ==> 0
% 59.56/59.95 end
% 59.56/59.95
% 59.56/59.95 eqswap: (64736) {G0,W7,D4,L1,V0,M1} { sdtasdt0( xl, sdtsldt0( xm, xl ) ) =
% 59.56/59.95 xm }.
% 59.56/59.95 parent0[0]: (62781) {G0,W7,D4,L1,V0,M1} { xm = sdtasdt0( xl, sdtsldt0( xm
% 59.56/59.95 , xl ) ) }.
% 59.56/59.95 substitution0:
% 59.56/59.95 end
% 59.56/59.95
% 59.56/59.95 subsumption: (70) {G0,W7,D4,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( xm, xl )
% 59.56/59.95 ) ==> xm }.
% 59.56/59.95 parent0: (64736) {G0,W7,D4,L1,V0,M1} { sdtasdt0( xl, sdtsldt0( xm, xl ) )
% 59.56/59.95 = xm }.
% 59.56/59.95 substitution0:
% 59.56/59.95 end
% 59.56/59.95 permutation0:
% 59.56/59.95 0 ==> 0
% 59.56/59.95 end
% 59.56/59.95
% 59.56/59.95 eqswap: (65121) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xl, sdtasdt0( xn,
% 59.56/59.96 sdtsldt0( xm, xl ) ) ) = sdtasdt0( xn, xm ) }.
% 59.56/59.96 parent0[0]: (62782) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xm ) = sdtasdt0
% 59.56/59.96 ( xl, sdtasdt0( xn, sdtsldt0( xm, xl ) ) ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 subsumption: (71) {G0,W11,D5,L1,V0,M1} I { ! sdtasdt0( xl, sdtasdt0( xn,
% 59.56/59.96 sdtsldt0( xm, xl ) ) ) ==> sdtasdt0( xn, xm ) }.
% 59.56/59.96 parent0: (65121) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xl, sdtasdt0( xn,
% 59.56/59.96 sdtsldt0( xm, xl ) ) ) = sdtasdt0( xn, xm ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96 permutation0:
% 59.56/59.96 0 ==> 0
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 resolution: (65122) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0
% 59.56/59.96 ( xm, X ) = sdtasdt0( X, xm ) }.
% 59.56/59.96 parent0[0]: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 59.56/59.96 parent1[0]: (63) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := xm
% 59.56/59.96 Y := X
% 59.56/59.96 end
% 59.56/59.96 substitution1:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 subsumption: (431) {G1,W9,D3,L2,V1,M2} R(10,63) { ! aNaturalNumber0( X ),
% 59.56/59.96 sdtasdt0( xm, X ) = sdtasdt0( X, xm ) }.
% 59.56/59.96 parent0: (65122) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0(
% 59.56/59.96 xm, X ) = sdtasdt0( X, xm ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := X
% 59.56/59.96 end
% 59.56/59.96 permutation0:
% 59.56/59.96 0 ==> 0
% 59.56/59.96 1 ==> 1
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 eqswap: (65124) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ), Z ) ==>
% 59.56/59.96 sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 59.56/59.96 parent0[3]: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 59.56/59.96 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := X
% 59.56/59.96 Y := Y
% 59.56/59.96 Z := Z
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 resolution: (65125) {G1,W15,D4,L3,V2,M3} { sdtasdt0( sdtasdt0( xl, X ), Y
% 59.56/59.96 ) ==> sdtasdt0( xl, sdtasdt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ) }.
% 59.56/59.96 parent0[1]: (65124) {G0,W17,D4,L4,V3,M4} { sdtasdt0( sdtasdt0( X, Y ), Z )
% 59.56/59.96 ==> sdtasdt0( X, sdtasdt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 59.56/59.96 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := xl
% 59.56/59.96 Y := X
% 59.56/59.96 Z := Y
% 59.56/59.96 end
% 59.56/59.96 substitution1:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 eqswap: (65130) {G1,W15,D4,L3,V2,M3} { sdtasdt0( xl, sdtasdt0( X, Y ) )
% 59.56/59.96 ==> sdtasdt0( sdtasdt0( xl, X ), Y ), ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ) }.
% 59.56/59.96 parent0[0]: (65125) {G1,W15,D4,L3,V2,M3} { sdtasdt0( sdtasdt0( xl, X ), Y
% 59.56/59.96 ) ==> sdtasdt0( xl, sdtasdt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := X
% 59.56/59.96 Y := Y
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 subsumption: (454) {G1,W15,D4,L3,V2,M3} R(11,62) { ! aNaturalNumber0( X ),
% 59.56/59.96 ! aNaturalNumber0( Y ), sdtasdt0( xl, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 59.56/59.96 sdtasdt0( xl, X ), Y ) }.
% 59.56/59.96 parent0: (65130) {G1,W15,D4,L3,V2,M3} { sdtasdt0( xl, sdtasdt0( X, Y ) )
% 59.56/59.96 ==> sdtasdt0( sdtasdt0( xl, X ), Y ), ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := X
% 59.56/59.96 Y := Y
% 59.56/59.96 end
% 59.56/59.96 permutation0:
% 59.56/59.96 0 ==> 2
% 59.56/59.96 1 ==> 0
% 59.56/59.96 2 ==> 1
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 eqswap: (65137) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xm ) ==> sdtasdt0(
% 59.56/59.96 xl, sdtasdt0( xn, sdtsldt0( xm, xl ) ) ) }.
% 59.56/59.96 parent0[0]: (71) {G0,W11,D5,L1,V0,M1} I { ! sdtasdt0( xl, sdtasdt0( xn,
% 59.56/59.96 sdtsldt0( xm, xl ) ) ) ==> sdtasdt0( xn, xm ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 paramod: (65142) {G1,W17,D5,L3,V0,M3} { ! sdtasdt0( xn, xm ) ==> sdtasdt0
% 59.56/59.96 ( xl, sdtasdt0( sdtsldt0( xm, xl ), xn ) ), ! aNaturalNumber0( xn ), !
% 59.56/59.96 aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.96 parent0[2]: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 59.56/59.96 parent1[0; 7]: (65137) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xm ) ==>
% 59.56/59.96 sdtasdt0( xl, sdtasdt0( xn, sdtsldt0( xm, xl ) ) ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := xn
% 59.56/59.96 Y := sdtsldt0( xm, xl )
% 59.56/59.96 end
% 59.56/59.96 substitution1:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 paramod: (65395) {G2,W23,D5,L5,V0,M5} { ! sdtasdt0( xn, xm ) ==> sdtasdt0
% 59.56/59.96 ( sdtasdt0( xl, sdtsldt0( xm, xl ) ), xn ), ! aNaturalNumber0( sdtsldt0(
% 59.56/59.96 xm, xl ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xn ), !
% 59.56/59.96 aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.96 parent0[2]: (454) {G1,W15,D4,L3,V2,M3} R(11,62) { ! aNaturalNumber0( X ), !
% 59.56/59.96 aNaturalNumber0( Y ), sdtasdt0( xl, sdtasdt0( X, Y ) ) ==> sdtasdt0(
% 59.56/59.96 sdtasdt0( xl, X ), Y ) }.
% 59.56/59.96 parent1[0; 5]: (65142) {G1,W17,D5,L3,V0,M3} { ! sdtasdt0( xn, xm ) ==>
% 59.56/59.96 sdtasdt0( xl, sdtasdt0( sdtsldt0( xm, xl ), xn ) ), ! aNaturalNumber0( xn
% 59.56/59.96 ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := sdtsldt0( xm, xl )
% 59.56/59.96 Y := xn
% 59.56/59.96 end
% 59.56/59.96 substitution1:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 factor: (65396) {G2,W19,D5,L4,V0,M4} { ! sdtasdt0( xn, xm ) ==> sdtasdt0(
% 59.56/59.96 sdtasdt0( xl, sdtsldt0( xm, xl ) ), xn ), ! aNaturalNumber0( sdtsldt0( xm
% 59.56/59.96 , xl ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xn ) }.
% 59.56/59.96 parent0[1, 4]: (65395) {G2,W23,D5,L5,V0,M5} { ! sdtasdt0( xn, xm ) ==>
% 59.56/59.96 sdtasdt0( sdtasdt0( xl, sdtsldt0( xm, xl ) ), xn ), ! aNaturalNumber0(
% 59.56/59.96 sdtsldt0( xm, xl ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xn ), !
% 59.56/59.96 aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 factor: (65397) {G2,W17,D5,L3,V0,M3} { ! sdtasdt0( xn, xm ) ==> sdtasdt0(
% 59.56/59.96 sdtasdt0( xl, sdtsldt0( xm, xl ) ), xn ), ! aNaturalNumber0( sdtsldt0( xm
% 59.56/59.96 , xl ) ), ! aNaturalNumber0( xn ) }.
% 59.56/59.96 parent0[2, 3]: (65396) {G2,W19,D5,L4,V0,M4} { ! sdtasdt0( xn, xm ) ==>
% 59.56/59.96 sdtasdt0( sdtasdt0( xl, sdtsldt0( xm, xl ) ), xn ), ! aNaturalNumber0(
% 59.56/59.96 sdtsldt0( xm, xl ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xn )
% 59.56/59.96 }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 paramod: (65398) {G1,W13,D3,L3,V0,M3} { ! sdtasdt0( xn, xm ) ==> sdtasdt0
% 59.56/59.96 ( xm, xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ), ! aNaturalNumber0(
% 59.56/59.96 xn ) }.
% 59.56/59.96 parent0[0]: (70) {G0,W7,D4,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( xm, xl ) )
% 59.56/59.96 ==> xm }.
% 59.56/59.96 parent1[0; 6]: (65397) {G2,W17,D5,L3,V0,M3} { ! sdtasdt0( xn, xm ) ==>
% 59.56/59.96 sdtasdt0( sdtasdt0( xl, sdtsldt0( xm, xl ) ), xn ), ! aNaturalNumber0(
% 59.56/59.96 sdtsldt0( xm, xl ) ), ! aNaturalNumber0( xn ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96 substitution1:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 resolution: (65399) {G1,W11,D3,L2,V0,M2} { ! sdtasdt0( xn, xm ) ==>
% 59.56/59.96 sdtasdt0( xm, xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.96 parent0[2]: (65398) {G1,W13,D3,L3,V0,M3} { ! sdtasdt0( xn, xm ) ==>
% 59.56/59.96 sdtasdt0( xm, xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ), !
% 59.56/59.96 aNaturalNumber0( xn ) }.
% 59.56/59.96 parent1[0]: (68) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96 substitution1:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 eqswap: (65400) {G1,W11,D3,L2,V0,M2} { ! sdtasdt0( xm, xn ) ==> sdtasdt0(
% 59.56/59.96 xn, xm ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.96 parent0[0]: (65399) {G1,W11,D3,L2,V0,M2} { ! sdtasdt0( xn, xm ) ==>
% 59.56/59.96 sdtasdt0( xm, xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 subsumption: (11089) {G2,W11,D3,L2,V0,M2} P(10,71);d(454);d(70);r(68) { !
% 59.56/59.96 aNaturalNumber0( sdtsldt0( xm, xl ) ), ! sdtasdt0( xm, xn ) ==> sdtasdt0
% 59.56/59.96 ( xn, xm ) }.
% 59.56/59.96 parent0: (65400) {G1,W11,D3,L2,V0,M2} { ! sdtasdt0( xm, xn ) ==> sdtasdt0
% 59.56/59.96 ( xn, xm ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96 permutation0:
% 59.56/59.96 0 ==> 1
% 59.56/59.96 1 ==> 0
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 resolution: (65402) {G1,W7,D3,L1,V0,M1} { ! sdtasdt0( xm, xn ) ==>
% 59.56/59.96 sdtasdt0( xn, xm ) }.
% 59.56/59.96 parent0[0]: (11089) {G2,W11,D3,L2,V0,M2} P(10,71);d(454);d(70);r(68) { !
% 59.56/59.96 aNaturalNumber0( sdtsldt0( xm, xl ) ), ! sdtasdt0( xm, xn ) ==> sdtasdt0
% 59.56/59.96 ( xn, xm ) }.
% 59.56/59.96 parent1[0]: (69) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xm, xl
% 59.56/59.96 ) ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96 substitution1:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 subsumption: (20799) {G3,W7,D3,L1,V0,M1} S(11089);r(69) { ! sdtasdt0( xm,
% 59.56/59.96 xn ) ==> sdtasdt0( xn, xm ) }.
% 59.56/59.96 parent0: (65402) {G1,W7,D3,L1,V0,M1} { ! sdtasdt0( xm, xn ) ==> sdtasdt0(
% 59.56/59.96 xn, xm ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96 permutation0:
% 59.56/59.96 0 ==> 0
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 eqswap: (65404) {G1,W9,D3,L2,V1,M2} { sdtasdt0( X, xm ) = sdtasdt0( xm, X
% 59.56/59.96 ), ! aNaturalNumber0( X ) }.
% 59.56/59.96 parent0[1]: (431) {G1,W9,D3,L2,V1,M2} R(10,63) { ! aNaturalNumber0( X ),
% 59.56/59.96 sdtasdt0( xm, X ) = sdtasdt0( X, xm ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := X
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 resolution: (65405) {G1,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0(
% 59.56/59.96 xm, xn ) }.
% 59.56/59.96 parent0[1]: (65404) {G1,W9,D3,L2,V1,M2} { sdtasdt0( X, xm ) = sdtasdt0( xm
% 59.56/59.96 , X ), ! aNaturalNumber0( X ) }.
% 59.56/59.96 parent1[0]: (68) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 X := xn
% 59.56/59.96 end
% 59.56/59.96 substitution1:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 eqswap: (65406) {G1,W7,D3,L1,V0,M1} { sdtasdt0( xm, xn ) = sdtasdt0( xn,
% 59.56/59.96 xm ) }.
% 59.56/59.96 parent0[0]: (65405) {G1,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0(
% 59.56/59.96 xm, xn ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 subsumption: (55747) {G2,W7,D3,L1,V0,M1} R(431,68) { sdtasdt0( xm, xn ) ==>
% 59.56/59.96 sdtasdt0( xn, xm ) }.
% 59.56/59.96 parent0: (65406) {G1,W7,D3,L1,V0,M1} { sdtasdt0( xm, xn ) = sdtasdt0( xn,
% 59.56/59.96 xm ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96 permutation0:
% 59.56/59.96 0 ==> 0
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 resolution: (65409) {G3,W0,D0,L0,V0,M0} { }.
% 59.56/59.96 parent0[0]: (20799) {G3,W7,D3,L1,V0,M1} S(11089);r(69) { ! sdtasdt0( xm, xn
% 59.56/59.96 ) ==> sdtasdt0( xn, xm ) }.
% 59.56/59.96 parent1[0]: (55747) {G2,W7,D3,L1,V0,M1} R(431,68) { sdtasdt0( xm, xn ) ==>
% 59.56/59.96 sdtasdt0( xn, xm ) }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96 substitution1:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 subsumption: (62708) {G4,W0,D0,L0,V0,M0} S(55747);r(20799) { }.
% 59.56/59.96 parent0: (65409) {G3,W0,D0,L0,V0,M0} { }.
% 59.56/59.96 substitution0:
% 59.56/59.96 end
% 59.56/59.96 permutation0:
% 59.56/59.96 end
% 59.56/59.96
% 59.56/59.96 Proof check complete!
% 59.56/59.96
% 59.56/59.96 Memory use:
% 59.56/59.96
% 59.56/59.96 space for terms: 913745
% 59.56/59.96 space for clauses: 3423208
% 59.56/59.96
% 59.56/59.96
% 59.56/59.96 clauses generated: 583386
% 59.56/59.96 clauses kept: 62709
% 59.56/59.96 clauses selected: 1411
% 59.56/59.96 clauses deleted: 14552
% 59.56/59.96 clauses inuse deleted: 211
% 59.56/59.96
% 59.56/59.96 subsentry: 1516676
% 59.56/59.96 literals s-matched: 736770
% 59.56/59.96 literals matched: 600999
% 59.56/59.96 full subsumption: 344331
% 59.56/59.96
% 59.56/59.96 checksum: -1909625223
% 59.56/59.96
% 59.56/59.96
% 59.56/59.96 Bliksem ended
%------------------------------------------------------------------------------