TSTP Solution File: NUM475+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM475+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 06:22:39 EDT 2022
% Result : Theorem 8.05s 8.42s
% Output : Refutation 8.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM475+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n012.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 15:28:30 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.41/1.07 *** allocated 10000 integers for termspace/termends
% 0.41/1.07 *** allocated 10000 integers for clauses
% 0.41/1.07 *** allocated 10000 integers for justifications
% 0.41/1.07 Bliksem 1.12
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Automatic Strategy Selection
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Clauses:
% 0.41/1.07
% 0.41/1.07 { && }.
% 0.41/1.07 { aNaturalNumber0( sz00 ) }.
% 0.41/1.07 { aNaturalNumber0( sz10 ) }.
% 0.41/1.07 { ! sz10 = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.41/1.07 ( X, Y ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.41/1.07 ( X, Y ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.41/1.07 sdtpldt0( Y, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.07 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.41/1.07 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.41/1.07 sdtasdt0( Y, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.07 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.41/1.07 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.07 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.41/1.07 , Z ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.41/1.07 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.41/1.07 , X ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.07 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.07 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.41/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.41/1.07 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.41/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.41/1.07 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.41/1.07 , X = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.41/1.07 , Y = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.41/1.07 , X = sz00, Y = sz00 }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.41/1.07 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.41/1.07 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.07 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.41/1.07 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.41/1.07 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.41/1.07 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.41/1.07 sdtlseqdt0( Y, X ), X = Y }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.41/1.07 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.41/1.07 X }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.41/1.07 sdtlseqdt0( Y, X ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.41/1.07 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.41/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.41/1.07 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.41/1.07 ) ) }.
% 0.41/1.07 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.41/1.07 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.41/1.07 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 8.05/8.41 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 8.05/8.41 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 8.05/8.41 ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 8.05/8.41 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 8.05/8.41 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 8.05/8.41 sdtasdt0( Z, X ) ) }.
% 8.05/8.41 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 8.05/8.41 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 8.05/8.41 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 8.05/8.41 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 8.05/8.41 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 8.05/8.41 ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 8.05/8.41 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 8.05/8.41 sdtasdt0( Y, X ) ) }.
% 8.05/8.41 { && }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 8.05/8.41 ), iLess0( X, Y ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 8.05/8.41 aNaturalNumber0( skol2( Z, T ) ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 8.05/8.41 sdtasdt0( X, skol2( X, Y ) ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 8.05/8.41 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 8.05/8.41 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 8.05/8.41 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 8.05/8.41 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 8.05/8.41 ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 8.05/8.41 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 8.05/8.41 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 8.05/8.41 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 8.05/8.41 ) ) }.
% 8.05/8.41 { aNaturalNumber0( xl ) }.
% 8.05/8.41 { aNaturalNumber0( xm ) }.
% 8.05/8.41 { aNaturalNumber0( xn ) }.
% 8.05/8.41 { doDivides0( xl, xm ) }.
% 8.05/8.41 { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 8.05/8.41 { ! xl = sz00 }.
% 8.05/8.41 { xp = sdtsldt0( xm, xl ) }.
% 8.05/8.41 { xq = sdtsldt0( sdtpldt0( xm, xn ), xl ) }.
% 8.05/8.41 { sdtlseqdt0( xp, xq ) }.
% 8.05/8.41 { xr = sdtmndt0( xq, xp ) }.
% 8.05/8.41 { sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0( xl, xr ) ) = sdtpldt0( sdtasdt0(
% 8.05/8.41 xl, xp ), xn ) }.
% 8.05/8.41 { ! xn = sdtasdt0( xl, xr ) }.
% 8.05/8.41
% 8.05/8.41 percentage equality = 0.306452, percentage horn = 0.763889
% 8.05/8.41 This is a problem with some equality
% 8.05/8.41
% 8.05/8.41
% 8.05/8.41
% 8.05/8.41 Options Used:
% 8.05/8.41
% 8.05/8.41 useres = 1
% 8.05/8.41 useparamod = 1
% 8.05/8.41 useeqrefl = 1
% 8.05/8.41 useeqfact = 1
% 8.05/8.41 usefactor = 1
% 8.05/8.41 usesimpsplitting = 0
% 8.05/8.41 usesimpdemod = 5
% 8.05/8.41 usesimpres = 3
% 8.05/8.41
% 8.05/8.41 resimpinuse = 1000
% 8.05/8.41 resimpclauses = 20000
% 8.05/8.41 substype = eqrewr
% 8.05/8.41 backwardsubs = 1
% 8.05/8.41 selectoldest = 5
% 8.05/8.41
% 8.05/8.41 litorderings [0] = split
% 8.05/8.41 litorderings [1] = extend the termordering, first sorting on arguments
% 8.05/8.41
% 8.05/8.41 termordering = kbo
% 8.05/8.41
% 8.05/8.41 litapriori = 0
% 8.05/8.41 termapriori = 1
% 8.05/8.41 litaposteriori = 0
% 8.05/8.41 termaposteriori = 0
% 8.05/8.41 demodaposteriori = 0
% 8.05/8.41 ordereqreflfact = 0
% 8.05/8.41
% 8.05/8.41 litselect = negord
% 8.05/8.41
% 8.05/8.41 maxweight = 15
% 8.05/8.41 maxdepth = 30000
% 8.05/8.41 maxlength = 115
% 8.05/8.41 maxnrvars = 195
% 8.05/8.41 excuselevel = 1
% 8.05/8.41 increasemaxweight = 1
% 8.05/8.41
% 8.05/8.41 maxselected = 10000000
% 8.05/8.41 maxnrclauses = 10000000
% 8.05/8.41
% 8.05/8.41 showgenerated = 0
% 8.05/8.41 showkept = 0
% 8.05/8.41 showselected = 0
% 8.05/8.41 showdeleted = 0
% 8.05/8.41 showresimp = 1
% 8.05/8.41 showstatus = 2000
% 8.05/8.41
% 8.05/8.41 prologoutput = 0
% 8.05/8.41 nrgoals = 5000000
% 8.05/8.41 totalproof = 1
% 8.05/8.41
% 8.05/8.41 Symbols occurring in the translation:
% 8.05/8.41
% 8.05/8.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.05/8.41 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 8.05/8.41 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 8.05/8.41 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 8.05/8.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.05/8.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.05/8.41 aNaturalNumber0 [36, 1] (w:1, o:22, a:1, s:1, b:0),
% 8.05/8.41 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 8.05/8.41 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 8.05/8.41 sdtpldt0 [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 8.05/8.41 sdtasdt0 [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 8.05/8.41 sdtlseqdt0 [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 8.05/8.41 sdtmndt0 [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 8.05/8.41 iLess0 [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 8.05/8.41 doDivides0 [46, 2] (w:1, o:52, a:1, s:1, b:0),
% 8.05/8.41 sdtsldt0 [47, 2] (w:1, o:53, a:1, s:1, b:0),
% 8.05/8.41 xl [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 8.05/8.41 xm [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 8.05/8.41 xn [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 8.05/8.41 xp [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 8.05/8.41 xq [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 8.05/8.41 xr [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 8.05/8.41 alpha1 [54, 3] (w:1, o:56, a:1, s:1, b:1),
% 8.05/8.41 alpha2 [55, 3] (w:1, o:57, a:1, s:1, b:1),
% 8.05/8.41 skol1 [56, 2] (w:1, o:54, a:1, s:1, b:1),
% 8.05/8.41 skol2 [57, 2] (w:1, o:55, a:1, s:1, b:1).
% 8.05/8.41
% 8.05/8.41
% 8.05/8.41 Starting Search:
% 8.05/8.41
% 8.05/8.41 *** allocated 15000 integers for clauses
% 8.05/8.41 *** allocated 22500 integers for clauses
% 8.05/8.41 *** allocated 33750 integers for clauses
% 8.05/8.41 *** allocated 50625 integers for clauses
% 8.05/8.41 *** allocated 15000 integers for termspace/termends
% 8.05/8.41 *** allocated 75937 integers for clauses
% 8.05/8.41 *** allocated 22500 integers for termspace/termends
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41 *** allocated 113905 integers for clauses
% 8.05/8.41 *** allocated 33750 integers for termspace/termends
% 8.05/8.41 *** allocated 170857 integers for clauses
% 8.05/8.41
% 8.05/8.41 Intermediate Status:
% 8.05/8.41 Generated: 10445
% 8.05/8.41 Kept: 2001
% 8.05/8.41 Inuse: 106
% 8.05/8.41 Deleted: 5
% 8.05/8.41 Deletedinuse: 5
% 8.05/8.41
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41 *** allocated 50625 integers for termspace/termends
% 8.05/8.41 *** allocated 256285 integers for clauses
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41 *** allocated 75937 integers for termspace/termends
% 8.05/8.41
% 8.05/8.41 Intermediate Status:
% 8.05/8.41 Generated: 21712
% 8.05/8.41 Kept: 4017
% 8.05/8.41 Inuse: 154
% 8.05/8.41 Deleted: 7
% 8.05/8.41 Deletedinuse: 5
% 8.05/8.41
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41 *** allocated 113905 integers for termspace/termends
% 8.05/8.41 *** allocated 384427 integers for clauses
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41
% 8.05/8.41 Intermediate Status:
% 8.05/8.41 Generated: 44156
% 8.05/8.41 Kept: 6018
% 8.05/8.41 Inuse: 196
% 8.05/8.41 Deleted: 14
% 8.05/8.41 Deletedinuse: 7
% 8.05/8.41
% 8.05/8.41 *** allocated 170857 integers for termspace/termends
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41 *** allocated 576640 integers for clauses
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41
% 8.05/8.41 Intermediate Status:
% 8.05/8.41 Generated: 61389
% 8.05/8.41 Kept: 8399
% 8.05/8.41 Inuse: 233
% 8.05/8.41 Deleted: 16
% 8.05/8.41 Deletedinuse: 8
% 8.05/8.41
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41 *** allocated 256285 integers for termspace/termends
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41
% 8.05/8.41 Intermediate Status:
% 8.05/8.41 Generated: 81019
% 8.05/8.41 Kept: 10400
% 8.05/8.41 Inuse: 260
% 8.05/8.41 Deleted: 22
% 8.05/8.41 Deletedinuse: 11
% 8.05/8.41
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41 *** allocated 864960 integers for clauses
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41
% 8.05/8.41 Intermediate Status:
% 8.05/8.41 Generated: 92296
% 8.05/8.41 Kept: 12476
% 8.05/8.41 Inuse: 306
% 8.05/8.41 Deleted: 26
% 8.05/8.41 Deletedinuse: 13
% 8.05/8.41
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41
% 8.05/8.41 Intermediate Status:
% 8.05/8.41 Generated: 110148
% 8.05/8.41 Kept: 14522
% 8.05/8.41 Inuse: 362
% 8.05/8.41 Deleted: 43
% 8.05/8.41 Deletedinuse: 24
% 8.05/8.41
% 8.05/8.41 Resimplifying inuse:
% 8.05/8.41 Done
% 8.05/8.41
% 8.05/8.41 *** allocated 384427 integers for termspace/termends
% 8.05/8.42 Resimplifying inuse:
% 8.05/8.42 Done
% 8.05/8.42
% 8.05/8.42
% 8.05/8.42 Intermediate Status:
% 8.05/8.42 Generated: 138548
% 8.05/8.42 Kept: 16603
% 8.05/8.42 Inuse: 432
% 8.05/8.42 Deleted: 48
% 8.05/8.42 Deletedinuse: 24
% 8.05/8.42
% 8.05/8.42 *** allocated 1297440 integers for clauses
% 8.05/8.42 Resimplifying inuse:
% 8.05/8.42 Done
% 8.05/8.42
% 8.05/8.42 Resimplifying inuse:
% 8.05/8.42 Done
% 8.05/8.42
% 8.05/8.42
% 8.05/8.42 Intermediate Status:
% 8.05/8.42 Generated: 157360
% 8.05/8.42 Kept: 18614
% 8.05/8.42 Inuse: 492
% 8.05/8.42 Deleted: 57
% 8.05/8.42 Deletedinuse: 27
% 8.05/8.42
% 8.05/8.42 Resimplifying inuse:
% 8.05/8.42 Done
% 8.05/8.42
% 8.05/8.42 Resimplifying clauses:
% 8.05/8.42
% 8.05/8.42 Bliksems!, er is een bewijs:
% 8.05/8.42 % SZS status Theorem
% 8.05/8.42 % SZS output start Refutation
% 8.05/8.42
% 8.05/8.42 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 8.05/8.42 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 8.05/8.42 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 8.05/8.42 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.05/8.42 (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.05/8.42 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 8.05/8.42 }.
% 8.05/8.42 (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.05/8.42 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 8.05/8.42 }.
% 8.05/8.42 (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.05/8.42 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 8.05/8.42 aNaturalNumber0( Z ) }.
% 8.05/8.42 (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 8.05/8.42 (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 8.05/8.42 (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 8.05/8.42 (63) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xm ) }.
% 8.05/8.42 (64) {G0,W5,D3,L1,V0,M1} I { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 8.05/8.42 (65) {G0,W3,D2,L1,V0,M1} I { ! xl ==> sz00 }.
% 8.05/8.42 (66) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xm, xl ) ==> xp }.
% 8.05/8.42 (67) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtpldt0( xm, xn ), xl ) ==> xq }.
% 8.05/8.42 (68) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xq ) }.
% 8.05/8.42 (69) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xq, xp ) ==> xr }.
% 8.05/8.42 (70) {G0,W13,D4,L1,V0,M1} I { sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0( xl,
% 8.05/8.42 xr ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 8.05/8.42 (71) {G0,W5,D3,L1,V0,M1} I { ! sdtasdt0( xl, xr ) ==> xn }.
% 8.05/8.42 (201) {G1,W6,D3,L2,V1,M2} R(4,61) { ! aNaturalNumber0( X ), aNaturalNumber0
% 8.05/8.42 ( sdtpldt0( xm, X ) ) }.
% 8.05/8.42 (222) {G1,W6,D3,L2,V1,M2} R(5,60) { ! aNaturalNumber0( X ), aNaturalNumber0
% 8.05/8.42 ( sdtasdt0( xl, X ) ) }.
% 8.05/8.42 (2300) {G2,W4,D3,L1,V0,M1} R(201,62) { aNaturalNumber0( sdtpldt0( xm, xn )
% 8.05/8.42 ) }.
% 8.05/8.42 (3135) {G1,W9,D2,L4,V1,M4} R(28,68);d(69) { ! aNaturalNumber0( xp ), !
% 8.05/8.42 aNaturalNumber0( xq ), aNaturalNumber0( X ), ! X = xr }.
% 8.05/8.42 (3164) {G2,W6,D2,L3,V0,M3} Q(3135) { ! aNaturalNumber0( xp ), !
% 8.05/8.42 aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 8.05/8.42 (9344) {G1,W12,D3,L4,V1,M4} R(55,64);d(67);r(60) { ! aNaturalNumber0(
% 8.05/8.42 sdtpldt0( xm, xn ) ), xl ==> sz00, aNaturalNumber0( X ), ! X = xq }.
% 8.05/8.42 (9355) {G1,W10,D2,L4,V1,M4} R(55,63);d(66);r(60) { ! aNaturalNumber0( xm )
% 8.05/8.42 , xl ==> sz00, aNaturalNumber0( X ), ! X = xp }.
% 8.05/8.42 (9475) {G2,W5,D2,L2,V0,M2} Q(9355);r(61) { xl ==> sz00, aNaturalNumber0( xp
% 8.05/8.42 ) }.
% 8.05/8.42 (9478) {G3,W5,D2,L2,V0,M2} Q(9344);r(2300) { xl ==> sz00, aNaturalNumber0(
% 8.05/8.42 xq ) }.
% 8.05/8.42 (10555) {G4,W2,D2,L1,V0,M1} S(9478);r(65) { aNaturalNumber0( xq ) }.
% 8.05/8.42 (10575) {G5,W4,D2,L2,V0,M2} R(10555,3164) { ! aNaturalNumber0( xp ),
% 8.05/8.42 aNaturalNumber0( xr ) }.
% 8.05/8.42 (11345) {G1,W26,D4,L5,V1,M5} P(70,18) { ! aNaturalNumber0( sdtasdt0( xl, xp
% 8.05/8.42 ) ), ! aNaturalNumber0( sdtasdt0( xl, xr ) ), ! aNaturalNumber0( X ), !
% 8.05/8.42 sdtpldt0( sdtasdt0( xl, xp ), xn ) = sdtpldt0( sdtasdt0( xl, xp ), X ),
% 8.05/8.42 sdtasdt0( xl, xr ) = X }.
% 8.05/8.42 (11355) {G2,W13,D3,L3,V0,M3} Q(11345);r(62) { ! aNaturalNumber0( sdtasdt0(
% 8.05/8.42 xl, xp ) ), ! aNaturalNumber0( sdtasdt0( xl, xr ) ), sdtasdt0( xl, xr )
% 8.05/8.42 ==> xn }.
% 8.05/8.42 (12350) {G3,W2,D2,L1,V0,M1} S(9475);r(65) { aNaturalNumber0( xp ) }.
% 8.05/8.42 (12365) {G6,W2,D2,L1,V0,M1} R(12350,10575) { aNaturalNumber0( xr ) }.
% 8.05/8.42 (12441) {G4,W4,D3,L1,V0,M1} R(12350,222) { aNaturalNumber0( sdtasdt0( xl,
% 8.05/8.42 xp ) ) }.
% 8.05/8.42 (12556) {G7,W4,D3,L1,V0,M1} R(12365,222) { aNaturalNumber0( sdtasdt0( xl,
% 8.05/8.42 xr ) ) }.
% 8.05/8.42 (21057) {G8,W0,D0,L0,V0,M0} S(11355);r(12441);r(12556);r(71) { }.
% 8.05/8.42
% 8.05/8.42
% 8.05/8.42 % SZS output end Refutation
% 8.05/8.42 found a proof!
% 8.05/8.42
% 8.05/8.42
% 8.05/8.42 Unprocessed initial clauses:
% 8.05/8.42
% 8.05/8.42 (21059) {G0,W1,D1,L1,V0,M1} { && }.
% 8.05/8.42 (21060) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 8.05/8.42 (21061) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 8.05/8.42 (21062) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 8.05/8.42 (21063) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.05/8.42 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 8.05/8.42 (21064) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 8.05/8.42 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.05/8.42 (21065) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 8.05/8.42 (21066) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 8.05/8.42 X, sdtpldt0( Y, Z ) ) }.
% 8.05/8.42 (21067) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 8.05/8.42 = X }.
% 8.05/8.42 (21068) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 8.05/8.42 X ) }.
% 8.05/8.42 (21069) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 8.05/8.42 (21070) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 8.05/8.42 X, sdtasdt0( Y, Z ) ) }.
% 8.05/8.42 (21071) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 8.05/8.42 = X }.
% 8.05/8.42 (21072) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 8.05/8.42 X ) }.
% 8.05/8.42 (21073) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 8.05/8.42 = sz00 }.
% 8.05/8.42 (21074) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 8.05/8.42 sz00, X ) }.
% 8.05/8.42 (21075) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 8.05/8.42 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 8.05/8.42 (21076) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 8.05/8.42 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 8.05/8.42 (21077) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 8.05/8.42 }.
% 8.05/8.42 (21078) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 8.05/8.42 }.
% 8.05/8.42 (21079) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 8.05/8.42 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 8.05/8.42 sdtasdt0( X, Z ), Y = Z }.
% 8.05/8.42 (21080) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 8.05/8.42 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 8.05/8.42 sdtasdt0( Z, X ), Y = Z }.
% 8.05/8.42 (21081) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 8.05/8.42 (21082) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 8.05/8.42 (21083) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 8.05/8.42 (21084) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 8.05/8.42 (21085) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 8.05/8.42 (21086) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 8.05/8.42 }.
% 8.05/8.42 (21087) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 8.05/8.42 }.
% 8.05/8.42 (21088) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 8.05/8.42 }.
% 8.05/8.42 (21089) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 8.05/8.42 , Z = sdtmndt0( Y, X ) }.
% 8.05/8.42 (21090) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 8.05/8.42 }.
% 8.05/8.42 (21091) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 8.05/8.42 (21092) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 8.05/8.42 sdtlseqdt0( X, Z ) }.
% 8.05/8.42 (21093) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 8.05/8.42 (21094) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 8.05/8.42 (21095) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 8.05/8.42 ) }.
% 8.05/8.42 (21096) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 8.05/8.42 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 8.05/8.42 (21097) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 8.05/8.42 sdtpldt0( Z, Y ) }.
% 8.05/8.42 (21098) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 8.05/8.42 Z, X ), sdtpldt0( Z, Y ) ) }.
% 8.05/8.42 (21099) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 8.05/8.42 sdtpldt0( Y, Z ) }.
% 8.05/8.42 (21100) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 8.05/8.42 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 8.05/8.42 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 8.05/8.42 (21101) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 8.05/8.42 alpha2( X, Y, Z ) }.
% 8.05/8.42 (21102) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 8.05/8.42 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 8.05/8.42 (21103) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 8.05/8.42 sdtasdt0( X, Z ) }.
% 8.05/8.42 (21104) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 8.05/8.42 X, Y ), sdtasdt0( X, Z ) ) }.
% 8.05/8.42 (21105) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 8.05/8.42 sdtasdt0( Z, X ) }.
% 8.05/8.42 (21106) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 8.05/8.42 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 8.05/8.42 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 8.05/8.42 (21107) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 8.05/8.42 , ! sz10 = X }.
% 8.05/8.42 (21108) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 8.05/8.42 , sdtlseqdt0( sz10, X ) }.
% 8.05/8.42 (21109) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 8.05/8.42 (21110) {G0,W1,D1,L1,V0,M1} { && }.
% 8.05/8.42 (21111) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 8.05/8.42 (21112) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 8.05/8.42 (21113) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 8.05/8.42 (21114) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 8.05/8.42 }.
% 8.05/8.42 (21115) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 8.05/8.42 aNaturalNumber0( Z ) }.
% 8.05/8.42 (21116) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 8.05/8.42 ( X, Z ) }.
% 8.05/8.42 (21117) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 8.05/8.42 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 8.05/8.42 (21118) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 8.05/8.42 doDivides0( X, Z ) }.
% 8.05/8.42 (21119) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 8.05/8.42 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 8.05/8.42 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 8.05/8.42 (21120) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 8.05/8.42 (21121) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 8.05/8.42 (21122) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 8.05/8.42 (21123) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 8.05/8.42 (21124) {G0,W5,D3,L1,V0,M1} { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 8.05/8.42 (21125) {G0,W3,D2,L1,V0,M1} { ! xl = sz00 }.
% 8.05/8.42 (21126) {G0,W5,D3,L1,V0,M1} { xp = sdtsldt0( xm, xl ) }.
% 8.05/8.42 (21127) {G0,W7,D4,L1,V0,M1} { xq = sdtsldt0( sdtpldt0( xm, xn ), xl ) }.
% 8.05/8.42 (21128) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xq ) }.
% 8.05/8.42 (21129) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xq, xp ) }.
% 8.05/8.42 (21130) {G0,W13,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xl, xp ), sdtasdt0( xl
% 8.05/8.42 , xr ) ) = sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 8.05/8.42 (21131) {G0,W5,D3,L1,V0,M1} { ! xn = sdtasdt0( xl, xr ) }.
% 8.05/8.42
% 8.05/8.42
% 8.05/8.42 Total Proof:
% 8.05/8.42
% 8.05/8.42 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 8.05/8.42 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 8.05/8.42 parent0: (21063) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 8.05/8.42 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 8.05/8.42 substitution0:
% 8.05/8.42 X := X
% 8.05/8.42 Y := Y
% 8.05/8.42 end
% 8.05/8.42 permutation0:
% 8.05/8.42 0 ==> 0
% 8.05/8.42 1 ==> 1
% 8.05/8.42 2 ==> 2
% 8.05/8.42 end
% 8.05/8.42
% 8.05/8.42 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 8.05/8.42 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.05/8.43 parent0: (21064) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 8.05/8.43 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 X := X
% 8.05/8.43 Y := Y
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 1 ==> 1
% 8.05/8.43 2 ==> 2
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 8.05/8.43 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 8.05/8.43 sdtpldt0( X, Z ), Y = Z }.
% 8.05/8.43 parent0: (21077) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 8.05/8.43 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) =
% 8.05/8.43 sdtpldt0( X, Z ), Y = Z }.
% 8.05/8.43 substitution0:
% 8.05/8.43 X := X
% 8.05/8.43 Y := Y
% 8.05/8.43 Z := Z
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 1 ==> 1
% 8.05/8.43 2 ==> 2
% 8.05/8.43 3 ==> 3
% 8.05/8.43 4 ==> 4
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 8.05/8.43 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 8.05/8.43 aNaturalNumber0( Z ) }.
% 8.05/8.43 parent0: (21087) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 8.05/8.43 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 8.05/8.43 aNaturalNumber0( Z ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 X := X
% 8.05/8.43 Y := Y
% 8.05/8.43 Z := Z
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 1 ==> 1
% 8.05/8.43 2 ==> 2
% 8.05/8.43 3 ==> 3
% 8.05/8.43 4 ==> 4
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 8.05/8.43 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 8.05/8.43 X ), aNaturalNumber0( Z ) }.
% 8.05/8.43 parent0: (21115) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 8.05/8.43 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 8.05/8.43 X ), aNaturalNumber0( Z ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 X := X
% 8.05/8.43 Y := Y
% 8.05/8.43 Z := Z
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 1 ==> 1
% 8.05/8.43 2 ==> 2
% 8.05/8.43 3 ==> 3
% 8.05/8.43 4 ==> 4
% 8.05/8.43 5 ==> 5
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 8.05/8.43 parent0: (21120) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 8.05/8.43 parent0: (21121) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 8.05/8.43 parent0: (21122) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (63) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xm ) }.
% 8.05/8.43 parent0: (21123) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 *** allocated 576640 integers for termspace/termends
% 8.05/8.43 subsumption: (64) {G0,W5,D3,L1,V0,M1} I { doDivides0( xl, sdtpldt0( xm, xn
% 8.05/8.43 ) ) }.
% 8.05/8.43 parent0: (21124) {G0,W5,D3,L1,V0,M1} { doDivides0( xl, sdtpldt0( xm, xn )
% 8.05/8.43 ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (65) {G0,W3,D2,L1,V0,M1} I { ! xl ==> sz00 }.
% 8.05/8.43 parent0: (21125) {G0,W3,D2,L1,V0,M1} { ! xl = sz00 }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 eqswap: (24276) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xm, xl ) = xp }.
% 8.05/8.43 parent0[0]: (21126) {G0,W5,D3,L1,V0,M1} { xp = sdtsldt0( xm, xl ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (66) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xm, xl ) ==> xp }.
% 8.05/8.43 parent0: (24276) {G0,W5,D3,L1,V0,M1} { sdtsldt0( xm, xl ) = xp }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 eqswap: (24653) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtpldt0( xm, xn ), xl ) =
% 8.05/8.43 xq }.
% 8.05/8.43 parent0[0]: (21127) {G0,W7,D4,L1,V0,M1} { xq = sdtsldt0( sdtpldt0( xm, xn
% 8.05/8.43 ), xl ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (67) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtpldt0( xm, xn ), xl
% 8.05/8.43 ) ==> xq }.
% 8.05/8.43 parent0: (24653) {G0,W7,D4,L1,V0,M1} { sdtsldt0( sdtpldt0( xm, xn ), xl )
% 8.05/8.43 = xq }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (68) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xq ) }.
% 8.05/8.43 parent0: (21128) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xq ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 eqswap: (25408) {G0,W5,D3,L1,V0,M1} { sdtmndt0( xq, xp ) = xr }.
% 8.05/8.43 parent0[0]: (21129) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xq, xp ) }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (69) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xq, xp ) ==> xr }.
% 8.05/8.43 parent0: (25408) {G0,W5,D3,L1,V0,M1} { sdtmndt0( xq, xp ) = xr }.
% 8.05/8.43 substitution0:
% 8.05/8.43 end
% 8.05/8.43 permutation0:
% 8.05/8.43 0 ==> 0
% 8.05/8.43 end
% 8.05/8.43
% 8.05/8.43 subsumption: (70) {G0,W13,D4,L1,V0,M1} I { sdtpldt0( sdtasdt0( xl, xp ),
% 8.05/8.44 sdtasdt0( xl, xr ) ) ==> sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 8.05/8.44 parent0: (21130) {G0,W13,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xl, xp ),
% 8.05/8.44 sdtasdt0( xl, xr ) ) = sdtpldt0( sdtasdt0( xl, xp ), xn ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 0
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26167) {G0,W5,D3,L1,V0,M1} { ! sdtasdt0( xl, xr ) = xn }.
% 8.05/8.44 parent0[0]: (21131) {G0,W5,D3,L1,V0,M1} { ! xn = sdtasdt0( xl, xr ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 subsumption: (71) {G0,W5,D3,L1,V0,M1} I { ! sdtasdt0( xl, xr ) ==> xn }.
% 8.05/8.44 parent0: (26167) {G0,W5,D3,L1,V0,M1} { ! sdtasdt0( xl, xr ) = xn }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 0
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26168) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 8.05/8.44 parent0[0]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 8.05/8.44 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 8.05/8.44 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := xm
% 8.05/8.44 Y := X
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 subsumption: (201) {G1,W6,D3,L2,V1,M2} R(4,61) { ! aNaturalNumber0( X ),
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 8.05/8.44 parent0: (26168) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 0
% 8.05/8.44 1 ==> 1
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26170) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 8.05/8.44 aNaturalNumber0( sdtasdt0( xl, X ) ) }.
% 8.05/8.44 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 8.05/8.44 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 8.05/8.44 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := xl
% 8.05/8.44 Y := X
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 subsumption: (222) {G1,W6,D3,L2,V1,M2} R(5,60) { ! aNaturalNumber0( X ),
% 8.05/8.44 aNaturalNumber0( sdtasdt0( xl, X ) ) }.
% 8.05/8.44 parent0: (26170) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 8.05/8.44 aNaturalNumber0( sdtasdt0( xl, X ) ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 0
% 8.05/8.44 1 ==> 1
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26172) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( xm,
% 8.05/8.44 xn ) ) }.
% 8.05/8.44 parent0[0]: (201) {G1,W6,D3,L2,V1,M2} R(4,61) { ! aNaturalNumber0( X ),
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 8.05/8.44 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := xn
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 subsumption: (2300) {G2,W4,D3,L1,V0,M1} R(201,62) { aNaturalNumber0(
% 8.05/8.44 sdtpldt0( xm, xn ) ) }.
% 8.05/8.44 parent0: (26172) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( xm, xn )
% 8.05/8.44 ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 0
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26173) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 8.05/8.44 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 8.05/8.44 aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[3]: (28) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 8.05/8.44 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ),
% 8.05/8.44 aNaturalNumber0( Z ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := Z
% 8.05/8.44 Y := Y
% 8.05/8.44 Z := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26175) {G1,W11,D3,L4,V1,M4} { ! sdtmndt0( xq, xp ) = X, !
% 8.05/8.44 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[3]: (26173) {G0,W14,D3,L5,V3,M5} { ! sdtmndt0( Y, Z ) = X, !
% 8.05/8.44 aNaturalNumber0( Z ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( Z, Y ),
% 8.05/8.44 aNaturalNumber0( X ) }.
% 8.05/8.44 parent1[0]: (68) {G0,W3,D2,L1,V0,M1} I { sdtlseqdt0( xp, xq ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 Y := xq
% 8.05/8.44 Z := xp
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 paramod: (26176) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp ),
% 8.05/8.44 ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[0]: (69) {G0,W5,D3,L1,V0,M1} I { sdtmndt0( xq, xp ) ==> xr }.
% 8.05/8.44 parent1[0; 2]: (26175) {G1,W11,D3,L4,V1,M4} { ! sdtmndt0( xq, xp ) = X, !
% 8.05/8.44 aNaturalNumber0( xp ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26177) {G1,W9,D2,L4,V1,M4} { ! X = xr, ! aNaturalNumber0( xp ), !
% 8.05/8.44 aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[0]: (26176) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp
% 8.05/8.44 ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 subsumption: (3135) {G1,W9,D2,L4,V1,M4} R(28,68);d(69) { ! aNaturalNumber0
% 8.05/8.44 ( xp ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ), ! X = xr }.
% 8.05/8.44 parent0: (26177) {G1,W9,D2,L4,V1,M4} { ! X = xr, ! aNaturalNumber0( xp ),
% 8.05/8.44 ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 3
% 8.05/8.44 1 ==> 0
% 8.05/8.44 2 ==> 1
% 8.05/8.44 3 ==> 2
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26178) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp ), !
% 8.05/8.44 aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[3]: (3135) {G1,W9,D2,L4,V1,M4} R(28,68);d(69) { ! aNaturalNumber0(
% 8.05/8.44 xp ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ), ! X = xr }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqrefl: (26179) {G0,W6,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 8.05/8.44 aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 8.05/8.44 parent0[0]: (26178) {G1,W9,D2,L4,V1,M4} { ! xr = X, ! aNaturalNumber0( xp
% 8.05/8.44 ), ! aNaturalNumber0( xq ), aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := xr
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 subsumption: (3164) {G2,W6,D2,L3,V0,M3} Q(3135) { ! aNaturalNumber0( xp ),
% 8.05/8.44 ! aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 8.05/8.44 parent0: (26179) {G0,W6,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 8.05/8.44 aNaturalNumber0( xq ), aNaturalNumber0( xr ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 0
% 8.05/8.44 1 ==> 1
% 8.05/8.44 2 ==> 2
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26180) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 8.05/8.44 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 8.05/8.44 aNaturalNumber0( Z ) }.
% 8.05/8.44 parent0[2]: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 8.05/8.44 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 8.05/8.44 X ), aNaturalNumber0( Z ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 Y := Y
% 8.05/8.44 Z := Z
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26184) {G1,W18,D4,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0(
% 8.05/8.44 xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! X = sdtsldt0( sdtpldt0(
% 8.05/8.44 xm, xn ), xl ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[3]: (26180) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 8.05/8.44 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 8.05/8.44 , aNaturalNumber0( Z ) }.
% 8.05/8.44 parent1[0]: (64) {G0,W5,D3,L1,V0,M1} I { doDivides0( xl, sdtpldt0( xm, xn )
% 8.05/8.44 ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := xl
% 8.05/8.44 Y := sdtpldt0( xm, xn )
% 8.05/8.44 Z := X
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 paramod: (26185) {G1,W14,D3,L5,V1,M5} { ! X = xq, sz00 = xl, !
% 8.05/8.44 aNaturalNumber0( xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ),
% 8.05/8.44 aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[0]: (67) {G0,W7,D4,L1,V0,M1} I { sdtsldt0( sdtpldt0( xm, xn ), xl )
% 8.05/8.44 ==> xq }.
% 8.05/8.44 parent1[3; 3]: (26184) {G1,W18,D4,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0
% 8.05/8.44 ( xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! X = sdtsldt0( sdtpldt0
% 8.05/8.44 ( xm, xn ), xl ), aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26186) {G1,W12,D3,L4,V1,M4} { ! X = xq, sz00 = xl, !
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[2]: (26185) {G1,W14,D3,L5,V1,M5} { ! X = xq, sz00 = xl, !
% 8.05/8.44 aNaturalNumber0( xl ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ),
% 8.05/8.44 aNaturalNumber0( X ) }.
% 8.05/8.44 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26188) {G1,W12,D3,L4,V1,M4} { xl = sz00, ! X = xq, !
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[1]: (26186) {G1,W12,D3,L4,V1,M4} { ! X = xq, sz00 = xl, !
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 subsumption: (9344) {G1,W12,D3,L4,V1,M4} R(55,64);d(67);r(60) { !
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, xn ) ), xl ==> sz00, aNaturalNumber0( X )
% 8.05/8.44 , ! X = xq }.
% 8.05/8.44 parent0: (26188) {G1,W12,D3,L4,V1,M4} { xl = sz00, ! X = xq, !
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 1
% 8.05/8.44 1 ==> 3
% 8.05/8.44 2 ==> 0
% 8.05/8.44 3 ==> 2
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26190) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 8.05/8.44 aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 8.05/8.44 aNaturalNumber0( Z ) }.
% 8.05/8.44 parent0[2]: (55) {G0,W17,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 8.05/8.44 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y,
% 8.05/8.44 X ), aNaturalNumber0( Z ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 Y := Y
% 8.05/8.44 Z := Z
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26194) {G1,W14,D3,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0(
% 8.05/8.44 xl ), ! aNaturalNumber0( xm ), ! X = sdtsldt0( xm, xl ), aNaturalNumber0
% 8.05/8.44 ( X ) }.
% 8.05/8.44 parent0[3]: (26190) {G0,W17,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 8.05/8.44 ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X )
% 8.05/8.44 , aNaturalNumber0( Z ) }.
% 8.05/8.44 parent1[0]: (63) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xm ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := xl
% 8.05/8.44 Y := xm
% 8.05/8.44 Z := X
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 paramod: (26195) {G1,W12,D2,L5,V1,M5} { ! X = xp, sz00 = xl, !
% 8.05/8.44 aNaturalNumber0( xl ), ! aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[0]: (66) {G0,W5,D3,L1,V0,M1} I { sdtsldt0( xm, xl ) ==> xp }.
% 8.05/8.44 parent1[3; 3]: (26194) {G1,W14,D3,L5,V1,M5} { sz00 = xl, ! aNaturalNumber0
% 8.05/8.44 ( xl ), ! aNaturalNumber0( xm ), ! X = sdtsldt0( xm, xl ),
% 8.05/8.44 aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26196) {G1,W10,D2,L4,V1,M4} { ! X = xp, sz00 = xl, !
% 8.05/8.44 aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[2]: (26195) {G1,W12,D2,L5,V1,M5} { ! X = xp, sz00 = xl, !
% 8.05/8.44 aNaturalNumber0( xl ), ! aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26198) {G1,W10,D2,L4,V1,M4} { xl = sz00, ! X = xp, !
% 8.05/8.44 aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 8.05/8.44 parent0[1]: (26196) {G1,W10,D2,L4,V1,M4} { ! X = xp, sz00 = xl, !
% 8.05/8.44 aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 subsumption: (9355) {G1,W10,D2,L4,V1,M4} R(55,63);d(66);r(60) { !
% 8.05/8.44 aNaturalNumber0( xm ), xl ==> sz00, aNaturalNumber0( X ), ! X = xp }.
% 8.05/8.44 parent0: (26198) {G1,W10,D2,L4,V1,M4} { xl = sz00, ! X = xp, !
% 8.05/8.44 aNaturalNumber0( xm ), aNaturalNumber0( X ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 1
% 8.05/8.44 1 ==> 3
% 8.05/8.44 2 ==> 0
% 8.05/8.44 3 ==> 2
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26200) {G1,W10,D2,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0( xm
% 8.05/8.44 ), aNaturalNumber0( X ), ! X = xp }.
% 8.05/8.44 parent0[1]: (9355) {G1,W10,D2,L4,V1,M4} R(55,63);d(66);r(60) { !
% 8.05/8.44 aNaturalNumber0( xm ), xl ==> sz00, aNaturalNumber0( X ), ! X = xp }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqrefl: (26203) {G0,W7,D2,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0( xm )
% 8.05/8.44 , aNaturalNumber0( xp ) }.
% 8.05/8.44 parent0[3]: (26200) {G1,W10,D2,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0
% 8.05/8.44 ( xm ), aNaturalNumber0( X ), ! X = xp }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := xp
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26204) {G1,W5,D2,L2,V0,M2} { sz00 ==> xl, aNaturalNumber0( xp
% 8.05/8.44 ) }.
% 8.05/8.44 parent0[1]: (26203) {G0,W7,D2,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0(
% 8.05/8.44 xm ), aNaturalNumber0( xp ) }.
% 8.05/8.44 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26205) {G1,W5,D2,L2,V0,M2} { xl ==> sz00, aNaturalNumber0( xp )
% 8.05/8.44 }.
% 8.05/8.44 parent0[0]: (26204) {G1,W5,D2,L2,V0,M2} { sz00 ==> xl, aNaturalNumber0( xp
% 8.05/8.44 ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 subsumption: (9475) {G2,W5,D2,L2,V0,M2} Q(9355);r(61) { xl ==> sz00,
% 8.05/8.44 aNaturalNumber0( xp ) }.
% 8.05/8.44 parent0: (26205) {G1,W5,D2,L2,V0,M2} { xl ==> sz00, aNaturalNumber0( xp )
% 8.05/8.44 }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 permutation0:
% 8.05/8.44 0 ==> 0
% 8.05/8.44 1 ==> 1
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26206) {G1,W12,D3,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0(
% 8.05/8.44 sdtpldt0( xm, xn ) ), aNaturalNumber0( X ), ! X = xq }.
% 8.05/8.44 parent0[1]: (9344) {G1,W12,D3,L4,V1,M4} R(55,64);d(67);r(60) { !
% 8.05/8.44 aNaturalNumber0( sdtpldt0( xm, xn ) ), xl ==> sz00, aNaturalNumber0( X )
% 8.05/8.44 , ! X = xq }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := X
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqrefl: (26209) {G0,W9,D3,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0(
% 8.05/8.44 sdtpldt0( xm, xn ) ), aNaturalNumber0( xq ) }.
% 8.05/8.44 parent0[3]: (26206) {G1,W12,D3,L4,V1,M4} { sz00 ==> xl, ! aNaturalNumber0
% 8.05/8.44 ( sdtpldt0( xm, xn ) ), aNaturalNumber0( X ), ! X = xq }.
% 8.05/8.44 substitution0:
% 8.05/8.44 X := xq
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 resolution: (26210) {G1,W5,D2,L2,V0,M2} { sz00 ==> xl, aNaturalNumber0( xq
% 8.05/8.44 ) }.
% 8.05/8.44 parent0[1]: (26209) {G0,W9,D3,L3,V0,M3} { sz00 ==> xl, ! aNaturalNumber0(
% 8.05/8.44 sdtpldt0( xm, xn ) ), aNaturalNumber0( xq ) }.
% 8.05/8.44 parent1[0]: (2300) {G2,W4,D3,L1,V0,M1} R(201,62) { aNaturalNumber0(
% 8.05/8.44 sdtpldt0( xm, xn ) ) }.
% 8.05/8.44 substitution0:
% 8.05/8.44 end
% 8.05/8.44 substitution1:
% 8.05/8.44 end
% 8.05/8.44
% 8.05/8.44 eqswap: (26211)Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------