TSTP Solution File: NUM468+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM468+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 06:22:35 EDT 2022
% Result : Theorem 25.35s 25.72s
% Output : Refutation 25.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM468+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jul 6 08:12:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { && }.
% 0.71/1.11 { aNaturalNumber0( sz00 ) }.
% 0.71/1.11 { aNaturalNumber0( sz10 ) }.
% 0.71/1.11 { ! sz10 = sz00 }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.71/1.11 ( X, Y ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.71/1.11 ( X, Y ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.71/1.11 sdtpldt0( Y, X ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.11 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.71/1.11 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.71/1.11 sdtasdt0( Y, X ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.11 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.71/1.11 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.71/1.11 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.11 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.71/1.11 , Z ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.71/1.11 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.71/1.11 , X ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.11 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.11 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.71/1.11 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.71/1.11 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.71/1.11 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.71/1.11 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.71/1.11 , X = sz00 }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.71/1.11 , Y = sz00 }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.71/1.11 , X = sz00, Y = sz00 }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.71/1.11 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.71/1.11 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.11 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.71/1.11 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.71/1.11 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.71/1.11 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.71/1.11 sdtlseqdt0( Y, X ), X = Y }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.71/1.11 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.71/1.11 X }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.71/1.11 sdtlseqdt0( Y, X ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.71/1.11 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.71/1.11 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.71/1.11 ) ) }.
% 0.71/1.11 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.71/1.11 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.71/1.11 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 15.84/16.27 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 15.84/16.27 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 15.84/16.27 ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 15.84/16.27 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 15.84/16.27 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 15.84/16.27 sdtasdt0( Z, X ) ) }.
% 15.84/16.27 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 15.84/16.27 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 15.84/16.27 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 15.84/16.27 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 15.84/16.27 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 15.84/16.27 ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 15.84/16.27 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 15.84/16.27 sdtasdt0( Y, X ) ) }.
% 15.84/16.27 { && }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 15.84/16.27 ), iLess0( X, Y ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 15.84/16.27 aNaturalNumber0( skol2( Z, T ) ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 15.84/16.27 sdtasdt0( X, skol2( X, Y ) ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 15.84/16.27 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 15.84/16.27 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 15.84/16.27 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 15.84/16.27 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 15.84/16.27 ) }.
% 15.84/16.27 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 15.84/16.27 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 15.84/16.27 { aNaturalNumber0( xl ) }.
% 15.84/16.27 { aNaturalNumber0( xm ) }.
% 15.84/16.27 { aNaturalNumber0( xn ) }.
% 15.84/16.27 { aNaturalNumber0( skol3 ) }.
% 15.84/16.27 { xm = sdtasdt0( xl, skol3 ) }.
% 15.84/16.27 { doDivides0( xl, xm ) }.
% 15.84/16.27 { aNaturalNumber0( skol4 ) }.
% 15.84/16.27 { xn = sdtasdt0( xl, skol4 ) }.
% 15.84/16.27 { doDivides0( xl, xn ) }.
% 15.84/16.27 { ! xl = sz00 }.
% 15.84/16.27 { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 15.84/16.27 { xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ) }.
% 15.84/16.27 { aNaturalNumber0( sdtsldt0( xn, xl ) ) }.
% 15.84/16.27 { xn = sdtasdt0( xl, sdtsldt0( xn, xl ) ) }.
% 15.84/16.27 { ! sdtpldt0( xm, xn ) = sdtasdt0( xl, sdtpldt0( sdtsldt0( xm, xl ),
% 15.84/16.27 sdtsldt0( xn, xl ) ) ) }.
% 15.84/16.27
% 15.84/16.27 percentage equality = 0.310204, percentage horn = 0.770270
% 15.84/16.27 This is a problem with some equality
% 15.84/16.27
% 15.84/16.27
% 15.84/16.27
% 15.84/16.27 Options Used:
% 15.84/16.27
% 15.84/16.27 useres = 1
% 15.84/16.27 useparamod = 1
% 15.84/16.27 useeqrefl = 1
% 15.84/16.27 useeqfact = 1
% 15.84/16.27 usefactor = 1
% 15.84/16.27 usesimpsplitting = 0
% 15.84/16.27 usesimpdemod = 5
% 15.84/16.27 usesimpres = 3
% 15.84/16.27
% 15.84/16.27 resimpinuse = 1000
% 15.84/16.27 resimpclauses = 20000
% 15.84/16.27 substype = eqrewr
% 15.84/16.27 backwardsubs = 1
% 15.84/16.27 selectoldest = 5
% 15.84/16.27
% 15.84/16.27 litorderings [0] = split
% 15.84/16.27 litorderings [1] = extend the termordering, first sorting on arguments
% 15.84/16.27
% 15.84/16.27 termordering = kbo
% 15.84/16.27
% 15.84/16.27 litapriori = 0
% 15.84/16.27 termapriori = 1
% 15.84/16.27 litaposteriori = 0
% 15.84/16.27 termaposteriori = 0
% 15.84/16.27 demodaposteriori = 0
% 15.84/16.27 ordereqreflfact = 0
% 15.84/16.27
% 15.84/16.27 litselect = negord
% 15.84/16.27
% 15.84/16.27 maxweight = 15
% 15.84/16.27 maxdepth = 30000
% 15.84/16.27 maxlength = 115
% 15.84/16.27 maxnrvars = 195
% 15.84/16.27 excuselevel = 1
% 15.84/16.27 increasemaxweight = 1
% 15.84/16.27
% 15.84/16.27 maxselected = 10000000
% 15.84/16.27 maxnrclauses = 10000000
% 15.84/16.27
% 15.84/16.27 showgenerated = 0
% 15.84/16.27 showkept = 0
% 15.84/16.27 showselected = 0
% 15.84/16.27 showdeleted = 0
% 15.84/16.27 showresimp = 1
% 15.84/16.27 showstatus = 2000
% 15.84/16.27
% 15.84/16.27 prologoutput = 0
% 15.84/16.27 nrgoals = 5000000
% 15.84/16.27 totalproof = 1
% 15.84/16.27
% 15.84/16.27 Symbols occurring in the translation:
% 15.84/16.27
% 15.84/16.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 15.84/16.27 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 15.84/16.27 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 15.84/16.27 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 15.84/16.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 15.84/16.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 15.84/16.27 aNaturalNumber0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 25.35/25.72 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 25.35/25.72 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 25.35/25.72 sdtpldt0 [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 25.35/25.72 sdtasdt0 [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 25.35/25.72 sdtlseqdt0 [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 25.35/25.72 sdtmndt0 [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 25.35/25.72 iLess0 [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 25.35/25.72 doDivides0 [46, 2] (w:1, o:51, a:1, s:1, b:0),
% 25.35/25.72 sdtsldt0 [47, 2] (w:1, o:52, a:1, s:1, b:0),
% 25.35/25.72 xl [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 25.35/25.72 xm [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 25.35/25.72 xn [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 25.35/25.72 alpha1 [51, 3] (w:1, o:55, a:1, s:1, b:1),
% 25.35/25.72 alpha2 [52, 3] (w:1, o:56, a:1, s:1, b:1),
% 25.35/25.72 skol1 [53, 2] (w:1, o:53, a:1, s:1, b:1),
% 25.35/25.72 skol2 [54, 2] (w:1, o:54, a:1, s:1, b:1),
% 25.35/25.72 skol3 [55, 0] (w:1, o:14, a:1, s:1, b:1),
% 25.35/25.72 skol4 [56, 0] (w:1, o:15, a:1, s:1, b:1).
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Starting Search:
% 25.35/25.72
% 25.35/25.72 *** allocated 15000 integers for clauses
% 25.35/25.72 *** allocated 22500 integers for clauses
% 25.35/25.72 *** allocated 33750 integers for clauses
% 25.35/25.72 *** allocated 50625 integers for clauses
% 25.35/25.72 *** allocated 15000 integers for termspace/termends
% 25.35/25.72 *** allocated 75937 integers for clauses
% 25.35/25.72 *** allocated 22500 integers for termspace/termends
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 113905 integers for clauses
% 25.35/25.72 *** allocated 33750 integers for termspace/termends
% 25.35/25.72 *** allocated 170857 integers for clauses
% 25.35/25.72 *** allocated 50625 integers for termspace/termends
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 12345
% 25.35/25.72 Kept: 2009
% 25.35/25.72 Inuse: 117
% 25.35/25.72 Deleted: 3
% 25.35/25.72 Deletedinuse: 3
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 256285 integers for clauses
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 75937 integers for termspace/termends
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 24155
% 25.35/25.72 Kept: 4146
% 25.35/25.72 Inuse: 169
% 25.35/25.72 Deleted: 5
% 25.35/25.72 Deletedinuse: 3
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 113905 integers for termspace/termends
% 25.35/25.72 *** allocated 384427 integers for clauses
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 170857 integers for termspace/termends
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 45353
% 25.35/25.72 Kept: 6229
% 25.35/25.72 Inuse: 209
% 25.35/25.72 Deleted: 10
% 25.35/25.72 Deletedinuse: 3
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 576640 integers for clauses
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 59695
% 25.35/25.72 Kept: 8241
% 25.35/25.72 Inuse: 239
% 25.35/25.72 Deleted: 12
% 25.35/25.72 Deletedinuse: 4
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 256285 integers for termspace/termends
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 80389
% 25.35/25.72 Kept: 10246
% 25.35/25.72 Inuse: 272
% 25.35/25.72 Deleted: 18
% 25.35/25.72 Deletedinuse: 9
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 864960 integers for clauses
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 106333
% 25.35/25.72 Kept: 12246
% 25.35/25.72 Inuse: 382
% 25.35/25.72 Deleted: 27
% 25.35/25.72 Deletedinuse: 10
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 384427 integers for termspace/termends
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 134314
% 25.35/25.72 Kept: 14257
% 25.35/25.72 Inuse: 442
% 25.35/25.72 Deleted: 45
% 25.35/25.72 Deletedinuse: 12
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 150039
% 25.35/25.72 Kept: 16270
% 25.35/25.72 Inuse: 497
% 25.35/25.72 Deleted: 54
% 25.35/25.72 Deletedinuse: 14
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 1297440 integers for clauses
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 163477
% 25.35/25.72 Kept: 18374
% 25.35/25.72 Inuse: 511
% 25.35/25.72 Deleted: 54
% 25.35/25.72 Deletedinuse: 14
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying clauses:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 194775
% 25.35/25.72 Kept: 21703
% 25.35/25.72 Inuse: 546
% 25.35/25.72 Deleted: 4504
% 25.35/25.72 Deletedinuse: 14
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 576640 integers for termspace/termends
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 221477
% 25.35/25.72 Kept: 23792
% 25.35/25.72 Inuse: 586
% 25.35/25.72 Deleted: 4537
% 25.35/25.72 Deletedinuse: 47
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 1946160 integers for clauses
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 252443
% 25.35/25.72 Kept: 26700
% 25.35/25.72 Inuse: 638
% 25.35/25.72 Deleted: 4540
% 25.35/25.72 Deletedinuse: 47
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 264943
% 25.35/25.72 Kept: 29375
% 25.35/25.72 Inuse: 670
% 25.35/25.72 Deleted: 4551
% 25.35/25.72 Deletedinuse: 55
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 271875
% 25.35/25.72 Kept: 31657
% 25.35/25.72 Inuse: 685
% 25.35/25.72 Deleted: 4551
% 25.35/25.72 Deletedinuse: 55
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 279322
% 25.35/25.72 Kept: 33743
% 25.35/25.72 Inuse: 695
% 25.35/25.72 Deleted: 4559
% 25.35/25.72 Deletedinuse: 63
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 295484
% 25.35/25.72 Kept: 35766
% 25.35/25.72 Inuse: 735
% 25.35/25.72 Deleted: 4559
% 25.35/25.72 Deletedinuse: 63
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 864960 integers for termspace/termends
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 313209
% 25.35/25.72 Kept: 37779
% 25.35/25.72 Inuse: 777
% 25.35/25.72 Deleted: 4564
% 25.35/25.72 Deletedinuse: 67
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 *** allocated 2919240 integers for clauses
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Intermediate Status:
% 25.35/25.72 Generated: 331388
% 25.35/25.72 Kept: 39797
% 25.35/25.72 Inuse: 816
% 25.35/25.72 Deleted: 4627
% 25.35/25.72 Deletedinuse: 128
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying inuse:
% 25.35/25.72 Done
% 25.35/25.72
% 25.35/25.72 Resimplifying clauses:
% 25.35/25.72
% 25.35/25.72 Bliksems!, er is een bewijs:
% 25.35/25.72 % SZS status Theorem
% 25.35/25.72 % SZS output start Refutation
% 25.35/25.72
% 25.35/25.72 (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 25.35/25.72 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.35/25.72 (16) {G0,W19,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.35/25.72 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z )
% 25.35/25.72 ) ==> sdtasdt0( X, sdtpldt0( Y, Z ) ) }.
% 25.35/25.72 (59) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 25.35/25.72 (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.35/25.72 (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.35/25.72 (69) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 25.35/25.72 (70) {G0,W7,D4,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( xm, xl ) ) ==> xm }.
% 25.35/25.72 (71) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xn, xl ) ) }.
% 25.35/25.72 (72) {G0,W7,D4,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( xn, xl ) ) ==> xn }.
% 25.35/25.72 (73) {G0,W13,D5,L1,V0,M1} I { ! sdtasdt0( xl, sdtpldt0( sdtsldt0( xm, xl )
% 25.35/25.72 , sdtsldt0( xn, xl ) ) ) ==> sdtpldt0( xm, xn ) }.
% 25.35/25.72 (272) {G1,W9,D3,L2,V1,M2} R(6,60) { ! aNaturalNumber0( X ), sdtpldt0( xm, X
% 25.35/25.72 ) = sdtpldt0( X, xm ) }.
% 25.35/25.72 (10419) {G1,W19,D5,L3,V1,M3} P(70,16);r(59) { ! aNaturalNumber0( X ), !
% 25.35/25.72 aNaturalNumber0( sdtsldt0( xm, xl ) ), sdtasdt0( xl, sdtpldt0( X,
% 25.35/25.72 sdtsldt0( xm, xl ) ) ) ==> sdtpldt0( sdtasdt0( xl, X ), xm ) }.
% 25.35/25.72 (10781) {G2,W11,D3,L2,V0,M2} P(6,73);d(10419);d(72);r(69) { !
% 25.35/25.72 aNaturalNumber0( sdtsldt0( xn, xl ) ), ! sdtpldt0( xm, xn ) ==> sdtpldt0
% 25.35/25.72 ( xn, xm ) }.
% 25.35/25.72 (21059) {G3,W7,D3,L1,V0,M1} S(10781);r(71) { ! sdtpldt0( xm, xn ) ==>
% 25.35/25.72 sdtpldt0( xn, xm ) }.
% 25.35/25.72 (38718) {G2,W7,D3,L1,V0,M1} R(272,61) { sdtpldt0( xm, xn ) ==> sdtpldt0( xn
% 25.35/25.72 , xm ) }.
% 25.35/25.72 (41901) {G4,W0,D0,L0,V0,M0} S(38718);r(21059) { }.
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 % SZS output end Refutation
% 25.35/25.72 found a proof!
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Unprocessed initial clauses:
% 25.35/25.72
% 25.35/25.72 (41903) {G0,W1,D1,L1,V0,M1} { && }.
% 25.35/25.72 (41904) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 25.35/25.72 (41905) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 25.35/25.72 (41906) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 25.35/25.72 (41907) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.35/25.72 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 25.35/25.72 (41908) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 25.35/25.72 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 25.35/25.72 (41909) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.35/25.72 (41910) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 25.35/25.72 X, sdtpldt0( Y, Z ) ) }.
% 25.35/25.72 (41911) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 25.35/25.72 = X }.
% 25.35/25.72 (41912) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 25.35/25.72 X ) }.
% 25.35/25.72 (41913) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 25.35/25.72 (41914) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 25.35/25.72 X, sdtasdt0( Y, Z ) ) }.
% 25.35/25.72 (41915) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 25.35/25.72 = X }.
% 25.35/25.72 (41916) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 25.35/25.72 X ) }.
% 25.35/25.72 (41917) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 25.35/25.72 = sz00 }.
% 25.35/25.72 (41918) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 25.35/25.72 sz00, X ) }.
% 25.35/25.72 (41919) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 25.35/25.72 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 25.35/25.72 (41920) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 25.35/25.72 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 25.35/25.72 (41921) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 25.35/25.72 }.
% 25.35/25.72 (41922) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 25.35/25.72 }.
% 25.35/25.72 (41923) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 25.35/25.72 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 25.35/25.72 sdtasdt0( X, Z ), Y = Z }.
% 25.35/25.72 (41924) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 25.35/25.72 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 25.35/25.72 sdtasdt0( Z, X ), Y = Z }.
% 25.35/25.72 (41925) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 25.35/25.72 (41926) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 25.35/25.72 (41927) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 25.35/25.72 (41928) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 25.35/25.72 (41929) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 25.35/25.72 (41930) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 25.35/25.72 }.
% 25.35/25.72 (41931) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 25.35/25.72 }.
% 25.35/25.72 (41932) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 25.35/25.72 }.
% 25.35/25.72 (41933) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 25.35/25.72 , Z = sdtmndt0( Y, X ) }.
% 25.35/25.72 (41934) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 25.35/25.72 }.
% 25.35/25.72 (41935) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 25.35/25.72 (41936) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 25.35/25.72 sdtlseqdt0( X, Z ) }.
% 25.35/25.72 (41937) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 25.35/25.72 (41938) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 25.35/25.72 (41939) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 25.35/25.72 ) }.
% 25.35/25.72 (41940) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 25.35/25.72 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 25.35/25.72 (41941) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 25.35/25.72 sdtpldt0( Z, Y ) }.
% 25.35/25.72 (41942) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 25.35/25.72 Z, X ), sdtpldt0( Z, Y ) ) }.
% 25.35/25.72 (41943) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 25.35/25.72 sdtpldt0( Y, Z ) }.
% 25.35/25.72 (41944) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 25.35/25.72 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 25.35/25.72 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 25.35/25.72 (41945) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 25.35/25.72 alpha2( X, Y, Z ) }.
% 25.35/25.72 (41946) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 25.35/25.72 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 25.35/25.72 (41947) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 25.35/25.72 sdtasdt0( X, Z ) }.
% 25.35/25.72 (41948) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 25.35/25.72 X, Y ), sdtasdt0( X, Z ) ) }.
% 25.35/25.72 (41949) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 25.35/25.72 sdtasdt0( Z, X ) }.
% 25.35/25.72 (41950) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 25.35/25.72 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 25.35/25.72 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 25.35/25.72 (41951) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.35/25.72 , ! sz10 = X }.
% 25.35/25.72 (41952) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 25.35/25.72 , sdtlseqdt0( sz10, X ) }.
% 25.35/25.72 (41953) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 25.35/25.72 (41954) {G0,W1,D1,L1,V0,M1} { && }.
% 25.35/25.72 (41955) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 25.35/25.72 (41956) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 25.35/25.72 (41957) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 25.35/25.72 (41958) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 25.35/25.72 }.
% 25.35/25.72 (41959) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 25.35/25.72 aNaturalNumber0( Z ) }.
% 25.35/25.72 (41960) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 25.35/25.72 ( X, Z ) }.
% 25.35/25.72 (41961) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 25.35/25.72 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 25.35/25.72 (41962) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.72 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 25.35/25.72 doDivides0( X, Z ) }.
% 25.35/25.72 (41963) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 25.35/25.72 (41964) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 25.35/25.72 (41965) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 25.35/25.72 (41966) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 25.35/25.72 (41967) {G0,W5,D3,L1,V0,M1} { xm = sdtasdt0( xl, skol3 ) }.
% 25.35/25.72 (41968) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 25.35/25.72 (41969) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol4 ) }.
% 25.35/25.72 (41970) {G0,W5,D3,L1,V0,M1} { xn = sdtasdt0( xl, skol4 ) }.
% 25.35/25.72 (41971) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xn ) }.
% 25.35/25.72 (41972) {G0,W3,D2,L1,V0,M1} { ! xl = sz00 }.
% 25.35/25.72 (41973) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 25.35/25.72 (41974) {G0,W7,D4,L1,V0,M1} { xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ) }.
% 25.35/25.72 (41975) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xn, xl ) ) }.
% 25.35/25.72 (41976) {G0,W7,D4,L1,V0,M1} { xn = sdtasdt0( xl, sdtsldt0( xn, xl ) ) }.
% 25.35/25.72 (41977) {G0,W13,D5,L1,V0,M1} { ! sdtpldt0( xm, xn ) = sdtasdt0( xl,
% 25.35/25.72 sdtpldt0( sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) }.
% 25.35/25.72
% 25.35/25.72
% 25.35/25.72 Total Proof:
% 25.35/25.72
% 25.35/25.72 subsumption: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.35/25.72 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.35/25.72 parent0: (41909) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 25.35/25.72 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.35/25.72 substitution0:
% 25.35/25.72 X := X
% 25.35/25.72 Y := Y
% 25.35/25.72 end
% 25.35/25.72 permutation0:
% 25.35/25.72 0 ==> 0
% 25.35/25.72 1 ==> 1
% 25.35/25.72 2 ==> 2
% 25.35/25.72 end
% 25.35/25.72
% 25.35/25.72 eqswap: (42011) {G0,W19,D4,L4,V3,M4} { sdtpldt0( sdtasdt0( X, Y ),
% 25.35/25.72 sdtasdt0( X, Z ) ) = sdtasdt0( X, sdtpldt0( Y, Z ) ), ! aNaturalNumber0(
% 25.35/25.72 X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.35/25.72 parent0[3]: (41919) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 25.35/25.73 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z
% 25.35/25.73 ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 X := X
% 25.35/25.73 Y := Y
% 25.35/25.73 Z := Z
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (16) {G0,W19,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 25.35/25.73 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtasdt0( X, Y )
% 25.35/25.73 , sdtasdt0( X, Z ) ) ==> sdtasdt0( X, sdtpldt0( Y, Z ) ) }.
% 25.35/25.73 parent0: (42011) {G0,W19,D4,L4,V3,M4} { sdtpldt0( sdtasdt0( X, Y ),
% 25.35/25.73 sdtasdt0( X, Z ) ) = sdtasdt0( X, sdtpldt0( Y, Z ) ), ! aNaturalNumber0(
% 25.35/25.73 X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 X := X
% 25.35/25.73 Y := Y
% 25.35/25.73 Z := Z
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 3
% 25.35/25.73 1 ==> 0
% 25.35/25.73 2 ==> 1
% 25.35/25.73 3 ==> 2
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (59) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 25.35/25.73 parent0: (41963) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 0
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.35/25.73 parent0: (41964) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 0
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.35/25.73 parent0: (41965) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 0
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (69) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xm, xl
% 25.35/25.73 ) ) }.
% 25.35/25.73 parent0: (41973) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xm, xl )
% 25.35/25.73 ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 0
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 eqswap: (43861) {G0,W7,D4,L1,V0,M1} { sdtasdt0( xl, sdtsldt0( xm, xl ) ) =
% 25.35/25.73 xm }.
% 25.35/25.73 parent0[0]: (41974) {G0,W7,D4,L1,V0,M1} { xm = sdtasdt0( xl, sdtsldt0( xm
% 25.35/25.73 , xl ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (70) {G0,W7,D4,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( xm, xl )
% 25.35/25.73 ) ==> xm }.
% 25.35/25.73 parent0: (43861) {G0,W7,D4,L1,V0,M1} { sdtasdt0( xl, sdtsldt0( xm, xl ) )
% 25.35/25.73 = xm }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 0
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (71) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xn, xl
% 25.35/25.73 ) ) }.
% 25.35/25.73 parent0: (41975) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xn, xl )
% 25.35/25.73 ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 0
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 eqswap: (44604) {G0,W7,D4,L1,V0,M1} { sdtasdt0( xl, sdtsldt0( xn, xl ) ) =
% 25.35/25.73 xn }.
% 25.35/25.73 parent0[0]: (41976) {G0,W7,D4,L1,V0,M1} { xn = sdtasdt0( xl, sdtsldt0( xn
% 25.35/25.73 , xl ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (72) {G0,W7,D4,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( xn, xl )
% 25.35/25.73 ) ==> xn }.
% 25.35/25.73 parent0: (44604) {G0,W7,D4,L1,V0,M1} { sdtasdt0( xl, sdtsldt0( xn, xl ) )
% 25.35/25.73 = xn }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 0
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 eqswap: (44977) {G0,W13,D5,L1,V0,M1} { ! sdtasdt0( xl, sdtpldt0( sdtsldt0
% 25.35/25.73 ( xm, xl ), sdtsldt0( xn, xl ) ) ) = sdtpldt0( xm, xn ) }.
% 25.35/25.73 parent0[0]: (41977) {G0,W13,D5,L1,V0,M1} { ! sdtpldt0( xm, xn ) = sdtasdt0
% 25.35/25.73 ( xl, sdtpldt0( sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (73) {G0,W13,D5,L1,V0,M1} I { ! sdtasdt0( xl, sdtpldt0(
% 25.35/25.73 sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) ==> sdtpldt0( xm, xn ) }.
% 25.35/25.73 parent0: (44977) {G0,W13,D5,L1,V0,M1} { ! sdtasdt0( xl, sdtpldt0( sdtsldt0
% 25.35/25.73 ( xm, xl ), sdtsldt0( xn, xl ) ) ) = sdtpldt0( xm, xn ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 0
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 resolution: (44978) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0
% 25.35/25.73 ( xm, X ) = sdtpldt0( X, xm ) }.
% 25.35/25.73 parent0[0]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.35/25.73 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.35/25.73 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 X := xm
% 25.35/25.73 Y := X
% 25.35/25.73 end
% 25.35/25.73 substitution1:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (272) {G1,W9,D3,L2,V1,M2} R(6,60) { ! aNaturalNumber0( X ),
% 25.35/25.73 sdtpldt0( xm, X ) = sdtpldt0( X, xm ) }.
% 25.35/25.73 parent0: (44978) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0(
% 25.35/25.73 xm, X ) = sdtpldt0( X, xm ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 X := X
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 0
% 25.35/25.73 1 ==> 1
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 eqswap: (44981) {G0,W19,D4,L4,V3,M4} { sdtasdt0( X, sdtpldt0( Y, Z ) ) ==>
% 25.35/25.73 sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), ! aNaturalNumber0( X ),
% 25.35/25.73 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.35/25.73 parent0[3]: (16) {G0,W19,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 25.35/25.73 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtasdt0( X, Y )
% 25.35/25.73 , sdtasdt0( X, Z ) ) ==> sdtasdt0( X, sdtpldt0( Y, Z ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 X := X
% 25.35/25.73 Y := Y
% 25.35/25.73 Z := Z
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 paramod: (44983) {G1,W21,D5,L4,V1,M4} { sdtasdt0( xl, sdtpldt0( X,
% 25.35/25.73 sdtsldt0( xm, xl ) ) ) ==> sdtpldt0( sdtasdt0( xl, X ), xm ), !
% 25.35/25.73 aNaturalNumber0( xl ), ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.73 sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 parent0[0]: (70) {G0,W7,D4,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( xm, xl ) )
% 25.35/25.73 ==> xm }.
% 25.35/25.73 parent1[0; 12]: (44981) {G0,W19,D4,L4,V3,M4} { sdtasdt0( X, sdtpldt0( Y, Z
% 25.35/25.73 ) ) ==> sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), !
% 25.35/25.73 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 substitution1:
% 25.35/25.73 X := xl
% 25.35/25.73 Y := X
% 25.35/25.73 Z := sdtsldt0( xm, xl )
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 resolution: (44992) {G1,W19,D5,L3,V1,M3} { sdtasdt0( xl, sdtpldt0( X,
% 25.35/25.73 sdtsldt0( xm, xl ) ) ) ==> sdtpldt0( sdtasdt0( xl, X ), xm ), !
% 25.35/25.73 aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 parent0[1]: (44983) {G1,W21,D5,L4,V1,M4} { sdtasdt0( xl, sdtpldt0( X,
% 25.35/25.73 sdtsldt0( xm, xl ) ) ) ==> sdtpldt0( sdtasdt0( xl, X ), xm ), !
% 25.35/25.73 aNaturalNumber0( xl ), ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 25.35/25.73 sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 X := X
% 25.35/25.73 end
% 25.35/25.73 substitution1:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (10419) {G1,W19,D5,L3,V1,M3} P(70,16);r(59) { !
% 25.35/25.73 aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ), sdtasdt0(
% 25.35/25.73 xl, sdtpldt0( X, sdtsldt0( xm, xl ) ) ) ==> sdtpldt0( sdtasdt0( xl, X ),
% 25.35/25.73 xm ) }.
% 25.35/25.73 parent0: (44992) {G1,W19,D5,L3,V1,M3} { sdtasdt0( xl, sdtpldt0( X,
% 25.35/25.73 sdtsldt0( xm, xl ) ) ) ==> sdtpldt0( sdtasdt0( xl, X ), xm ), !
% 25.35/25.73 aNaturalNumber0( X ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 X := X
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 2
% 25.35/25.73 1 ==> 0
% 25.35/25.73 2 ==> 1
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 eqswap: (44996) {G0,W13,D5,L1,V0,M1} { ! sdtpldt0( xm, xn ) ==> sdtasdt0(
% 25.35/25.73 xl, sdtpldt0( sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) }.
% 25.35/25.73 parent0[0]: (73) {G0,W13,D5,L1,V0,M1} I { ! sdtasdt0( xl, sdtpldt0(
% 25.35/25.73 sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) ==> sdtpldt0( xm, xn ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 paramod: (45000) {G1,W21,D5,L3,V0,M3} { ! sdtpldt0( xm, xn ) ==> sdtasdt0
% 25.35/25.73 ( xl, sdtpldt0( sdtsldt0( xn, xl ), sdtsldt0( xm, xl ) ) ), !
% 25.35/25.73 aNaturalNumber0( sdtsldt0( xm, xl ) ), ! aNaturalNumber0( sdtsldt0( xn,
% 25.35/25.73 xl ) ) }.
% 25.35/25.73 parent0[2]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 25.35/25.73 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 25.35/25.73 parent1[0; 7]: (44996) {G0,W13,D5,L1,V0,M1} { ! sdtpldt0( xm, xn ) ==>
% 25.35/25.73 sdtasdt0( xl, sdtpldt0( sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 X := sdtsldt0( xm, xl )
% 25.35/25.73 Y := sdtsldt0( xn, xl )
% 25.35/25.73 end
% 25.35/25.73 substitution1:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 paramod: (45072) {G2,W27,D5,L5,V0,M5} { ! sdtpldt0( xm, xn ) ==> sdtpldt0
% 25.35/25.73 ( sdtasdt0( xl, sdtsldt0( xn, xl ) ), xm ), ! aNaturalNumber0( sdtsldt0(
% 25.35/25.73 xn, xl ) ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ), ! aNaturalNumber0(
% 25.35/25.73 sdtsldt0( xm, xl ) ), ! aNaturalNumber0( sdtsldt0( xn, xl ) ) }.
% 25.35/25.73 parent0[2]: (10419) {G1,W19,D5,L3,V1,M3} P(70,16);r(59) { ! aNaturalNumber0
% 25.35/25.73 ( X ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ), sdtasdt0( xl, sdtpldt0( X
% 25.35/25.73 , sdtsldt0( xm, xl ) ) ) ==> sdtpldt0( sdtasdt0( xl, X ), xm ) }.
% 25.35/25.73 parent1[0; 5]: (45000) {G1,W21,D5,L3,V0,M3} { ! sdtpldt0( xm, xn ) ==>
% 25.35/25.73 sdtasdt0( xl, sdtpldt0( sdtsldt0( xn, xl ), sdtsldt0( xm, xl ) ) ), !
% 25.35/25.73 aNaturalNumber0( sdtsldt0( xm, xl ) ), ! aNaturalNumber0( sdtsldt0( xn,
% 25.35/25.73 xl ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 X := sdtsldt0( xn, xl )
% 25.35/25.73 end
% 25.35/25.73 substitution1:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 factor: (45073) {G2,W23,D5,L4,V0,M4} { ! sdtpldt0( xm, xn ) ==> sdtpldt0(
% 25.35/25.73 sdtasdt0( xl, sdtsldt0( xn, xl ) ), xm ), ! aNaturalNumber0( sdtsldt0( xn
% 25.35/25.73 , xl ) ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ), ! aNaturalNumber0(
% 25.35/25.73 sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 parent0[1, 4]: (45072) {G2,W27,D5,L5,V0,M5} { ! sdtpldt0( xm, xn ) ==>
% 25.35/25.73 sdtpldt0( sdtasdt0( xl, sdtsldt0( xn, xl ) ), xm ), ! aNaturalNumber0(
% 25.35/25.73 sdtsldt0( xn, xl ) ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ), !
% 25.35/25.73 aNaturalNumber0( sdtsldt0( xm, xl ) ), ! aNaturalNumber0( sdtsldt0( xn,
% 25.35/25.73 xl ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 factor: (45074) {G2,W19,D5,L3,V0,M3} { ! sdtpldt0( xm, xn ) ==> sdtpldt0(
% 25.35/25.73 sdtasdt0( xl, sdtsldt0( xn, xl ) ), xm ), ! aNaturalNumber0( sdtsldt0( xn
% 25.35/25.73 , xl ) ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 parent0[2, 3]: (45073) {G2,W23,D5,L4,V0,M4} { ! sdtpldt0( xm, xn ) ==>
% 25.35/25.73 sdtpldt0( sdtasdt0( xl, sdtsldt0( xn, xl ) ), xm ), ! aNaturalNumber0(
% 25.35/25.73 sdtsldt0( xn, xl ) ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ), !
% 25.35/25.73 aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 paramod: (45075) {G1,W15,D3,L3,V0,M3} { ! sdtpldt0( xm, xn ) ==> sdtpldt0
% 25.35/25.73 ( xn, xm ), ! aNaturalNumber0( sdtsldt0( xn, xl ) ), ! aNaturalNumber0(
% 25.35/25.73 sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 parent0[0]: (72) {G0,W7,D4,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( xn, xl ) )
% 25.35/25.73 ==> xn }.
% 25.35/25.73 parent1[0; 6]: (45074) {G2,W19,D5,L3,V0,M3} { ! sdtpldt0( xm, xn ) ==>
% 25.35/25.73 sdtpldt0( sdtasdt0( xl, sdtsldt0( xn, xl ) ), xm ), ! aNaturalNumber0(
% 25.35/25.73 sdtsldt0( xn, xl ) ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 substitution1:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 resolution: (45076) {G1,W11,D3,L2,V0,M2} { ! sdtpldt0( xm, xn ) ==>
% 25.35/25.73 sdtpldt0( xn, xm ), ! aNaturalNumber0( sdtsldt0( xn, xl ) ) }.
% 25.35/25.73 parent0[2]: (45075) {G1,W15,D3,L3,V0,M3} { ! sdtpldt0( xm, xn ) ==>
% 25.35/25.73 sdtpldt0( xn, xm ), ! aNaturalNumber0( sdtsldt0( xn, xl ) ), !
% 25.35/25.73 aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 25.35/25.73 parent1[0]: (69) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xm, xl
% 25.35/25.73 ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 substitution1:
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 subsumption: (10781) {G2,W11,D3,L2,V0,M2} P(6,73);d(10419);d(72);r(69) { !
% 25.35/25.73 aNaturalNumber0( sdtsldt0( xn, xl ) ), ! sdtpldt0( xm, xn ) ==> sdtpldt0
% 25.35/25.73 ( xn, xm ) }.
% 25.35/25.73 parent0: (45076) {G1,W11,D3,L2,V0,M2} { ! sdtpldt0( xm, xn ) ==> sdtpldt0
% 25.35/25.73 ( xn, xm ), ! aNaturalNumber0( sdtsldt0( xn, xl ) ) }.
% 25.35/25.73 substitution0:
% 25.35/25.73 end
% 25.35/25.73 permutation0:
% 25.35/25.73 0 ==> 1
% 25.35/25.73 1 ==> 0
% 25.35/25.73 end
% 25.35/25.73
% 25.35/25.73 resolution: (45079) {G1,W7,D3,L1,V0,M1} { ! sdtpldt0( xm, xn ) ==>
% 25.35/25.73 sdtpldt0( xn, xm ) }.
% 25.35/25.73 parent0[0]: (10781) {G2,W11,D3,L2,V0,M2} P(6,73);d(10419);d(72);r(69) { !
% 25.35/25.74 aNaturalNumber0( sdtsldt0( xn, xl ) ), ! sdtpldt0( xm, xn ) ==> sdtpldt0
% 25.35/25.74 ( xn, xm ) }.
% 25.35/25.74 parent1[0]: (71) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xn, xl
% 25.35/25.74 ) ) }.
% 25.35/25.74 substitution0:
% 25.35/25.74 end
% 25.35/25.74 substitution1:
% 25.35/25.74 end
% 25.35/25.74
% 25.35/25.74 subsumption: (21059) {G3,W7,D3,L1,V0,M1} S(10781);r(71) { ! sdtpldt0( xm,
% 25.35/25.74 xn ) ==> sdtpldt0( xn, xm ) }.
% 25.35/25.74 parent0: (45079) {G1,W7,D3,L1,V0,M1} { ! sdtpldt0( xm, xn ) ==> sdtpldt0(
% 25.35/25.74 xn, xm ) }.
% 25.35/25.74 substitution0:
% 25.35/25.74 end
% 25.35/25.74 permutation0:
% 25.35/25.74 0 ==> 0
% 25.35/25.74 end
% 25.35/25.74
% 25.35/25.74 eqswap: (45081) {G1,W9,D3,L2,V1,M2} { sdtpldt0( X, xm ) = sdtpldt0( xm, X
% 25.35/25.74 ), ! aNaturalNumber0( X ) }.
% 25.35/25.74 parent0[1]: (272) {G1,W9,D3,L2,V1,M2} R(6,60) { ! aNaturalNumber0( X ),
% 25.35/25.74 sdtpldt0( xm, X ) = sdtpldt0( X, xm ) }.
% 25.35/25.74 substitution0:
% 25.35/25.74 X := X
% 25.35/25.74 end
% 25.35/25.74
% 25.35/25.74 resolution: (45082) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xn, xm ) = sdtpldt0(
% 25.35/25.74 xm, xn ) }.
% 25.35/25.74 parent0[1]: (45081) {G1,W9,D3,L2,V1,M2} { sdtpldt0( X, xm ) = sdtpldt0( xm
% 25.35/25.74 , X ), ! aNaturalNumber0( X ) }.
% 25.35/25.74 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 25.35/25.74 substitution0:
% 25.35/25.74 X := xn
% 25.35/25.74 end
% 25.35/25.74 substitution1:
% 25.35/25.74 end
% 25.35/25.74
% 25.35/25.74 eqswap: (45083) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xm, xn ) = sdtpldt0( xn,
% 25.35/25.74 xm ) }.
% 25.35/25.74 parent0[0]: (45082) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xn, xm ) = sdtpldt0(
% 25.35/25.74 xm, xn ) }.
% 25.35/25.74 substitution0:
% 25.35/25.74 end
% 25.35/25.74
% 25.35/25.74 subsumption: (38718) {G2,W7,D3,L1,V0,M1} R(272,61) { sdtpldt0( xm, xn ) ==>
% 25.35/25.74 sdtpldt0( xn, xm ) }.
% 25.35/25.74 parent0: (45083) {G1,W7,D3,L1,V0,M1} { sdtpldt0( xm, xn ) = sdtpldt0( xn,
% 25.35/25.74 xm ) }.
% 25.35/25.74 substitution0:
% 25.35/25.74 end
% 25.35/25.74 permutation0:
% 25.35/25.74 0 ==> 0
% 25.35/25.74 end
% 25.35/25.74
% 25.35/25.74 resolution: (45086) {G3,W0,D0,L0,V0,M0} { }.
% 25.35/25.74 parent0[0]: (21059) {G3,W7,D3,L1,V0,M1} S(10781);r(71) { ! sdtpldt0( xm, xn
% 25.35/25.74 ) ==> sdtpldt0( xn, xm ) }.
% 25.35/25.74 parent1[0]: (38718) {G2,W7,D3,L1,V0,M1} R(272,61) { sdtpldt0( xm, xn ) ==>
% 25.35/25.74 sdtpldt0( xn, xm ) }.
% 25.35/25.74 substitution0:
% 25.35/25.74 end
% 25.35/25.74 substitution1:
% 25.35/25.74 end
% 25.35/25.74
% 25.35/25.74 subsumption: (41901) {G4,W0,D0,L0,V0,M0} S(38718);r(21059) { }.
% 25.35/25.74 parent0: (45086) {G3,W0,D0,L0,V0,M0} { }.
% 25.35/25.74 substitution0:
% 25.35/25.74 end
% 25.35/25.74 permutation0:
% 25.35/25.74 end
% 25.35/25.74
% 25.35/25.74 Proof check complete!
% 25.35/25.74
% 25.35/25.74 Memory use:
% 25.35/25.74
% 25.35/25.74 space for terms: 641215
% 25.35/25.74 space for clauses: 2109678
% 25.35/25.74
% 25.35/25.74
% 25.35/25.74 clauses generated: 353036
% 25.35/25.74 clauses kept: 41902
% 25.35/25.74 clauses selected: 861
% 25.35/25.74 clauses deleted: 5174
% 25.35/25.74 clauses inuse deleted: 146
% 25.35/25.74
% 25.35/25.74 subsentry: 970733
% 25.35/25.74 literals s-matched: 496435
% 25.35/25.74 literals matched: 403395
% 25.35/25.74 full subsumption: 234477
% 25.35/25.74
% 25.35/25.74 checksum: 466114922
% 25.35/25.74
% 25.35/25.74
% 25.35/25.74 Bliksem ended
%------------------------------------------------------------------------------