TSTP Solution File: NUM477+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM477+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 06:22:41 EDT 2022
% Result : Theorem 12.80s 13.19s
% Output : Refutation 12.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM477+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jul 5 16:16:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/1.10 *** allocated 10000 integers for termspace/termends
% 0.69/1.10 *** allocated 10000 integers for clauses
% 0.69/1.10 *** allocated 10000 integers for justifications
% 0.69/1.10 Bliksem 1.12
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Automatic Strategy Selection
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Clauses:
% 0.69/1.10
% 0.69/1.10 { && }.
% 0.69/1.10 { aNaturalNumber0( sz00 ) }.
% 0.69/1.10 { aNaturalNumber0( sz10 ) }.
% 0.69/1.10 { ! sz10 = sz00 }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.69/1.10 ( X, Y ) ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.69/1.10 ( X, Y ) ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.69/1.10 sdtpldt0( Y, X ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.10 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.69/1.10 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.69/1.10 sdtasdt0( Y, X ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.10 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.69/1.10 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.69/1.10 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.10 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.69/1.10 , Z ) ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.10 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.69/1.10 , X ) ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.10 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.10 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.69/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.69/1.10 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.69/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.69/1.10 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.69/1.10 , X = sz00 }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.69/1.10 , Y = sz00 }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.69/1.10 , X = sz00, Y = sz00 }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.69/1.10 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.69/1.10 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.10 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.69/1.10 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.69/1.10 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.69/1.10 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.69/1.10 sdtlseqdt0( Y, X ), X = Y }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.10 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.69/1.10 X }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.69/1.10 sdtlseqdt0( Y, X ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.69/1.10 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.69/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.69/1.10 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.69/1.10 ) ) }.
% 0.69/1.10 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.69/1.10 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.69/1.10 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 12.80/13.19 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 12.80/13.19 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 12.80/13.19 ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 12.80/13.19 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 12.80/13.19 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 12.80/13.19 sdtasdt0( Z, X ) ) }.
% 12.80/13.19 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 12.80/13.19 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 12.80/13.19 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 12.80/13.19 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 12.80/13.19 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 12.80/13.19 ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 12.80/13.19 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 12.80/13.19 sdtasdt0( Y, X ) ) }.
% 12.80/13.19 { && }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 12.80/13.19 ), iLess0( X, Y ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 12.80/13.19 aNaturalNumber0( skol2( Z, T ) ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 12.80/13.19 sdtasdt0( X, skol2( X, Y ) ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 12.80/13.19 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 12.80/13.19 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 12.80/13.19 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 12.80/13.19 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 12.80/13.19 ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 12.80/13.19 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 12.80/13.19 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 12.80/13.19 ) ) }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 12.80/13.19 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 12.80/13.19 Z ) }.
% 12.80/13.19 { aNaturalNumber0( xm ) }.
% 12.80/13.19 { aNaturalNumber0( xn ) }.
% 12.80/13.19 { aNaturalNumber0( skol3 ) }.
% 12.80/13.19 { xn = sdtasdt0( xm, skol3 ) }.
% 12.80/13.19 { doDivides0( xm, xn ) }.
% 12.80/13.19 { ! xn = sz00 }.
% 12.80/13.19 { ! aNaturalNumber0( X ), ! sdtpldt0( xm, X ) = xn }.
% 12.80/13.19 { ! sdtlseqdt0( xm, xn ) }.
% 12.80/13.19
% 12.80/13.19 percentage equality = 0.290837, percentage horn = 0.753623
% 12.80/13.19 This is a problem with some equality
% 12.80/13.19
% 12.80/13.19
% 12.80/13.19
% 12.80/13.19 Options Used:
% 12.80/13.19
% 12.80/13.19 useres = 1
% 12.80/13.19 useparamod = 1
% 12.80/13.19 useeqrefl = 1
% 12.80/13.19 useeqfact = 1
% 12.80/13.19 usefactor = 1
% 12.80/13.19 usesimpsplitting = 0
% 12.80/13.19 usesimpdemod = 5
% 12.80/13.19 usesimpres = 3
% 12.80/13.19
% 12.80/13.19 resimpinuse = 1000
% 12.80/13.19 resimpclauses = 20000
% 12.80/13.19 substype = eqrewr
% 12.80/13.19 backwardsubs = 1
% 12.80/13.19 selectoldest = 5
% 12.80/13.19
% 12.80/13.19 litorderings [0] = split
% 12.80/13.19 litorderings [1] = extend the termordering, first sorting on arguments
% 12.80/13.19
% 12.80/13.19 termordering = kbo
% 12.80/13.19
% 12.80/13.19 litapriori = 0
% 12.80/13.19 termapriori = 1
% 12.80/13.19 litaposteriori = 0
% 12.80/13.19 termaposteriori = 0
% 12.80/13.19 demodaposteriori = 0
% 12.80/13.19 ordereqreflfact = 0
% 12.80/13.19
% 12.80/13.19 litselect = negord
% 12.80/13.19
% 12.80/13.19 maxweight = 15
% 12.80/13.19 maxdepth = 30000
% 12.80/13.19 maxlength = 115
% 12.80/13.19 maxnrvars = 195
% 12.80/13.19 excuselevel = 1
% 12.80/13.19 increasemaxweight = 1
% 12.80/13.19
% 12.80/13.19 maxselected = 10000000
% 12.80/13.19 maxnrclauses = 10000000
% 12.80/13.19
% 12.80/13.19 showgenerated = 0
% 12.80/13.19 showkept = 0
% 12.80/13.19 showselected = 0
% 12.80/13.19 showdeleted = 0
% 12.80/13.19 showresimp = 1
% 12.80/13.19 showstatus = 2000
% 12.80/13.19
% 12.80/13.19 prologoutput = 0
% 12.80/13.19 nrgoals = 5000000
% 12.80/13.19 totalproof = 1
% 12.80/13.19
% 12.80/13.19 Symbols occurring in the translation:
% 12.80/13.19
% 12.80/13.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.80/13.19 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 12.80/13.19 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 12.80/13.19 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 12.80/13.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.80/13.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.80/13.19 aNaturalNumber0 [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 12.80/13.19 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 12.80/13.19 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 12.80/13.19 sdtpldt0 [40, 2] (w:1, o:44, a:1, s:1, b:0),
% 12.80/13.19 sdtasdt0 [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 12.80/13.19 sdtlseqdt0 [43, 2] (w:1, o:46, a:1, s:1, b:0),
% 12.80/13.19 sdtmndt0 [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 12.80/13.19 iLess0 [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 12.80/13.19 doDivides0 [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 12.80/13.19 sdtsldt0 [47, 2] (w:1, o:50, a:1, s:1, b:0),
% 12.80/13.19 xm [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 12.80/13.19 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 12.80/13.19 alpha1 [50, 3] (w:1, o:53, a:1, s:1, b:1),
% 12.80/13.19 alpha2 [51, 3] (w:1, o:54, a:1, s:1, b:1),
% 12.80/13.19 skol1 [52, 2] (w:1, o:51, a:1, s:1, b:1),
% 12.80/13.19 skol2 [53, 2] (w:1, o:52, a:1, s:1, b:1),
% 12.80/13.19 skol3 [54, 0] (w:1, o:13, a:1, s:1, b:1).
% 12.80/13.19
% 12.80/13.19
% 12.80/13.19 Starting Search:
% 12.80/13.19
% 12.80/13.19 *** allocated 15000 integers for clauses
% 12.80/13.19 *** allocated 22500 integers for clauses
% 12.80/13.19 *** allocated 33750 integers for clauses
% 12.80/13.19 *** allocated 50625 integers for clauses
% 12.80/13.19 *** allocated 15000 integers for termspace/termends
% 12.80/13.19 *** allocated 75937 integers for clauses
% 12.80/13.19 *** allocated 22500 integers for termspace/termends
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 113905 integers for clauses
% 12.80/13.19 *** allocated 33750 integers for termspace/termends
% 12.80/13.19 *** allocated 170857 integers for clauses
% 12.80/13.19
% 12.80/13.19 Intermediate Status:
% 12.80/13.19 Generated: 10237
% 12.80/13.19 Kept: 2018
% 12.80/13.19 Inuse: 105
% 12.80/13.19 Deleted: 10
% 12.80/13.19 Deletedinuse: 6
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 50625 integers for termspace/termends
% 12.80/13.19 *** allocated 256285 integers for clauses
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 75937 integers for termspace/termends
% 12.80/13.19
% 12.80/13.19 Intermediate Status:
% 12.80/13.19 Generated: 23298
% 12.80/13.19 Kept: 4233
% 12.80/13.19 Inuse: 157
% 12.80/13.19 Deleted: 17
% 12.80/13.19 Deletedinuse: 8
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 113905 integers for termspace/termends
% 12.80/13.19 *** allocated 384427 integers for clauses
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 170857 integers for termspace/termends
% 12.80/13.19
% 12.80/13.19 Intermediate Status:
% 12.80/13.19 Generated: 47263
% 12.80/13.19 Kept: 6364
% 12.80/13.19 Inuse: 203
% 12.80/13.19 Deleted: 28
% 12.80/13.19 Deletedinuse: 10
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 576640 integers for clauses
% 12.80/13.19
% 12.80/13.19 Intermediate Status:
% 12.80/13.19 Generated: 61227
% 12.80/13.19 Kept: 8401
% 12.80/13.19 Inuse: 240
% 12.80/13.19 Deleted: 36
% 12.80/13.19 Deletedinuse: 12
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 256285 integers for termspace/termends
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19
% 12.80/13.19 Intermediate Status:
% 12.80/13.19 Generated: 93628
% 12.80/13.19 Kept: 10532
% 12.80/13.19 Inuse: 343
% 12.80/13.19 Deleted: 49
% 12.80/13.19 Deletedinuse: 16
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 864960 integers for clauses
% 12.80/13.19
% 12.80/13.19 Intermediate Status:
% 12.80/13.19 Generated: 118916
% 12.80/13.19 Kept: 12556
% 12.80/13.19 Inuse: 394
% 12.80/13.19 Deleted: 73
% 12.80/13.19 Deletedinuse: 27
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 384427 integers for termspace/termends
% 12.80/13.19
% 12.80/13.19 Intermediate Status:
% 12.80/13.19 Generated: 135223
% 12.80/13.19 Kept: 14600
% 12.80/13.19 Inuse: 436
% 12.80/13.19 Deleted: 79
% 12.80/13.19 Deletedinuse: 31
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19
% 12.80/13.19 Intermediate Status:
% 12.80/13.19 Generated: 150904
% 12.80/13.19 Kept: 16689
% 12.80/13.19 Inuse: 460
% 12.80/13.19 Deleted: 99
% 12.80/13.19 Deletedinuse: 33
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 *** allocated 1297440 integers for clauses
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19
% 12.80/13.19 Intermediate Status:
% 12.80/13.19 Generated: 189200
% 12.80/13.19 Kept: 18724
% 12.80/13.19 Inuse: 504
% 12.80/13.19 Deleted: 99
% 12.80/13.19 Deletedinuse: 33
% 12.80/13.19
% 12.80/13.19 Resimplifying inuse:
% 12.80/13.19 Done
% 12.80/13.19
% 12.80/13.19 Resimplifying clauses:
% 12.80/13.19
% 12.80/13.19 Bliksems!, er is een bewijs:
% 12.80/13.19 % SZS status Theorem
% 12.80/13.19 % SZS output start Refutation
% 12.80/13.19
% 12.80/13.19 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.80/13.19 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 12.80/13.19 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 12.80/13.19 (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 12.80/13.19 ==> X }.
% 12.80/13.19 (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( sz10, X )
% 12.80/13.19 ==> X }.
% 12.80/13.19 (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 12.80/13.19 ==> sz00 }.
% 12.80/13.19 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 12.80/13.19 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 12.80/13.19 sdtasdt0( X, Z ), Y = Z }.
% 12.80/13.19 (50) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 12.80/13.19 ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 12.80/13.19 (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 12.80/13.19 (63) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 12.80/13.19 (64) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xm, skol3 ) ==> xn }.
% 12.80/13.19 (66) {G0,W3,D2,L1,V0,M1} I { ! xn ==> sz00 }.
% 12.80/13.19 (68) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xm, xn ) }.
% 12.80/13.19 (221) {G1,W6,D3,L2,V1,M2} R(5,61) { ! aNaturalNumber0( X ), aNaturalNumber0
% 12.80/13.19 ( sdtasdt0( xm, X ) ) }.
% 12.80/13.19 (222) {G1,W6,D3,L2,V1,M2} R(5,61) { ! aNaturalNumber0( X ), aNaturalNumber0
% 12.80/13.19 ( sdtasdt0( X, xm ) ) }.
% 12.80/13.19 (284) {G2,W4,D3,L1,V0,M1} R(221,2) { aNaturalNumber0( sdtasdt0( xm, sz10 )
% 12.80/13.19 ) }.
% 12.80/13.19 (420) {G2,W4,D3,L1,V0,M1} R(222,2) { aNaturalNumber0( sdtasdt0( sz10, xm )
% 12.80/13.19 ) }.
% 12.80/13.19 (572) {G1,W5,D3,L1,V0,M1} R(12,61) { sdtasdt0( xm, sz10 ) ==> xm }.
% 12.80/13.19 (613) {G3,W5,D3,L1,V0,M1} R(13,284);d(572) { sdtasdt0( sz10, xm ) ==> xm
% 12.80/13.19 }.
% 12.80/13.19 (628) {G4,W5,D3,L1,V0,M1} R(14,420);d(613) { sdtasdt0( xm, sz00 ) ==> sz00
% 12.80/13.19 }.
% 12.80/13.19 (1293) {G1,W17,D3,L5,V2,M5} R(20,63) { ! aNaturalNumber0( X ), X = sz00, !
% 12.80/13.19 aNaturalNumber0( Y ), ! sdtasdt0( X, skol3 ) = sdtasdt0( X, Y ), skol3 =
% 12.80/13.19 Y }.
% 12.80/13.19 (1362) {G2,W15,D3,L4,V1,M4} E(1293);f { ! skol3 ==> sz00, ! aNaturalNumber0
% 12.80/13.19 ( X ), X = sz00, ! sdtasdt0( X, skol3 ) = sdtasdt0( X, X ) }.
% 12.80/13.19 (1365) {G3,W6,D2,L2,V0,M2} Q(1362);r(63) { ! skol3 ==> sz00, skol3 ==> sz00
% 12.80/13.19 }.
% 12.80/13.19 (1714) {G5,W6,D2,L2,V0,M2} P(1365,64);d(628) { ! skol3 ==> sz00, xn ==>
% 12.80/13.19 sz00 }.
% 12.80/13.19 (1715) {G6,W3,D2,L1,V0,M1} S(1714);r(66) { ! skol3 ==> sz00 }.
% 12.80/13.19 (6885) {G1,W8,D2,L3,V0,M3} P(64,50);r(63) { ! aNaturalNumber0( xm ), skol3
% 12.80/13.19 ==> sz00, sdtlseqdt0( xm, xn ) }.
% 12.80/13.19 (21359) {G7,W0,D0,L0,V0,M0} S(6885);r(61);r(1715);r(68) { }.
% 12.80/13.19
% 12.80/13.19
% 12.80/13.19 % SZS output end Refutation
% 12.80/13.19 found a proof!
% 12.80/13.19
% 12.80/13.19
% 12.80/13.19 Unprocessed initial clauses:
% 12.80/13.19
% 12.80/13.19 (21361) {G0,W1,D1,L1,V0,M1} { && }.
% 12.80/13.19 (21362) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 12.80/13.19 (21363) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 12.80/13.19 (21364) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 12.80/13.19 (21365) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 12.80/13.19 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 12.80/13.19 (21366) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 12.80/13.19 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 12.80/13.19 (21367) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 12.80/13.19 (21368) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 12.80/13.19 X, sdtpldt0( Y, Z ) ) }.
% 12.80/13.19 (21369) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 12.80/13.19 = X }.
% 12.80/13.19 (21370) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 12.80/13.19 X ) }.
% 12.80/13.19 (21371) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 12.80/13.19 (21372) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 12.80/13.19 X, sdtasdt0( Y, Z ) ) }.
% 12.80/13.19 (21373) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 12.80/13.19 = X }.
% 12.80/13.19 (21374) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 12.80/13.19 X ) }.
% 12.80/13.19 (21375) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 12.80/13.19 = sz00 }.
% 12.80/13.19 (21376) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 12.80/13.19 sz00, X ) }.
% 12.80/13.19 (21377) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 12.80/13.19 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 12.80/13.19 (21378) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 12.80/13.19 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 12.80/13.19 (21379) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 12.80/13.19 }.
% 12.80/13.19 (21380) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 12.80/13.19 }.
% 12.80/13.19 (21381) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 12.80/13.19 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 12.80/13.19 sdtasdt0( X, Z ), Y = Z }.
% 12.80/13.19 (21382) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 12.80/13.19 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 12.80/13.19 sdtasdt0( Z, X ), Y = Z }.
% 12.80/13.19 (21383) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 12.80/13.19 (21384) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 12.80/13.19 (21385) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 12.80/13.19 (21386) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 12.80/13.19 (21387) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 12.80/13.19 (21388) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 12.80/13.19 }.
% 12.80/13.19 (21389) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 12.80/13.19 }.
% 12.80/13.19 (21390) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 12.80/13.19 }.
% 12.80/13.19 (21391) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 12.80/13.19 , Z = sdtmndt0( Y, X ) }.
% 12.80/13.19 (21392) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 12.80/13.19 }.
% 12.80/13.19 (21393) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 12.80/13.19 (21394) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 12.80/13.19 sdtlseqdt0( X, Z ) }.
% 12.80/13.19 (21395) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 12.80/13.19 (21396) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 12.80/13.19 (21397) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 12.80/13.19 ) }.
% 12.80/13.19 (21398) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 12.80/13.19 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 12.80/13.19 (21399) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 12.80/13.19 sdtpldt0( Z, Y ) }.
% 12.80/13.19 (21400) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 12.80/13.19 Z, X ), sdtpldt0( Z, Y ) ) }.
% 12.80/13.19 (21401) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 12.80/13.19 sdtpldt0( Y, Z ) }.
% 12.80/13.19 (21402) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 12.80/13.19 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 12.80/13.19 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 12.80/13.19 (21403) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 12.80/13.19 alpha2( X, Y, Z ) }.
% 12.80/13.19 (21404) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 12.80/13.19 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 12.80/13.19 (21405) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 12.80/13.19 sdtasdt0( X, Z ) }.
% 12.80/13.19 (21406) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 12.80/13.19 X, Y ), sdtasdt0( X, Z ) ) }.
% 12.80/13.19 (21407) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 12.80/13.19 sdtasdt0( Z, X ) }.
% 12.80/13.19 (21408) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 12.80/13.19 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 12.80/13.19 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 12.80/13.19 (21409) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 12.80/13.19 , ! sz10 = X }.
% 12.80/13.19 (21410) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 12.80/13.19 , sdtlseqdt0( sz10, X ) }.
% 12.80/13.19 (21411) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 12.80/13.19 (21412) {G0,W1,D1,L1,V0,M1} { && }.
% 12.80/13.19 (21413) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 12.80/13.19 (21414) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 12.80/13.19 (21415) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 12.80/13.19 (21416) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 12.80/13.19 }.
% 12.80/13.19 (21417) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 12.80/13.19 aNaturalNumber0( Z ) }.
% 12.80/13.19 (21418) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 12.80/13.19 ( X, Z ) }.
% 12.80/13.19 (21419) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 12.80/13.19 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 12.80/13.19 (21420) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 12.80/13.19 doDivides0( X, Z ) }.
% 12.80/13.19 (21421) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 12.80/13.19 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 12.80/13.19 (21422) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 12.80/13.19 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 12.80/13.19 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 12.80/13.19 (21423) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 12.80/13.19 (21424) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 12.80/13.19 (21425) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 12.80/13.19 (21426) {G0,W5,D3,L1,V0,M1} { xn = sdtasdt0( xm, skol3 ) }.
% 12.80/13.19 (21427) {G0,W3,D2,L1,V0,M1} { doDivides0( xm, xn ) }.
% 12.80/13.19 (21428) {G0,W3,D2,L1,V0,M1} { ! xn = sz00 }.
% 12.80/13.19 (21429) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xm, X )
% 12.80/13.19 = xn }.
% 12.80/13.19 (21430) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xm, xn ) }.
% 12.80/13.19
% 12.80/13.19
% 12.80/13.19 Total Proof:
% 12.80/13.19
% 12.80/13.19 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.80/13.19 parent0: (21363) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 12.80/13.19 substitution0:
% 12.80/13.19 end
% 12.80/13.19 permutation0:
% 12.80/13.19 0 ==> 0
% 12.80/13.19 end
% 12.80/13.19
% 12.80/13.19 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 12.80/13.19 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 12.80/13.19 parent0: (21366) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 12.80/13.19 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 12.80/13.19 substitution0:
% 12.80/13.19 X := X
% 12.80/13.19 Y := Y
% 12.80/13.19 end
% 12.80/13.19 permutation0:
% 12.80/13.19 0 ==> 0
% 12.80/13.19 1 ==> 1
% 12.80/13.19 2 ==> 2
% 12.80/13.19 end
% 12.80/13.19
% 12.80/13.19 subsumption: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 12.80/13.19 ( X, sz10 ) ==> X }.
% 12.80/13.19 parent0: (21373) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X
% 12.80/13.19 , sz10 ) = X }.
% 12.80/13.19 substitution0:
% 12.80/13.19 X := X
% 12.80/13.19 end
% 12.80/13.19 permutation0:
% 12.80/13.19 0 ==> 0
% 12.80/13.19 1 ==> 1
% 12.80/13.19 end
% 12.80/13.19
% 12.80/13.19 eqswap: (21486) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 12.80/13.19 aNaturalNumber0( X ) }.
% 12.80/13.19 parent0[1]: (21374) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 12.80/13.19 sdtasdt0( sz10, X ) }.
% 12.80/13.19 substitution0:
% 12.80/13.19 X := X
% 12.80/13.19 end
% 12.80/13.19
% 12.80/13.19 subsumption: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 12.80/13.19 ( sz10, X ) ==> X }.
% 12.80/13.19 parent0: (21486) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 12.80/13.19 aNaturalNumber0( X ) }.
% 12.80/13.19 substitution0:
% 12.80/13.19 X := X
% 12.80/13.19 end
% 12.80/13.19 permutation0:
% 12.80/13.19 0 ==> 1
% 12.80/13.19 1 ==> 0
% 12.80/13.19 end
% 12.80/13.19
% 12.80/13.19 subsumption: (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 12.80/13.19 ( X, sz00 ) ==> sz00 }.
% 12.80/13.19 parent0: (21375) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X
% 12.80/13.19 , sz00 ) = sz00 }.
% 12.80/13.19 substitution0:
% 12.80/13.19 X := X
% 12.80/13.19 end
% 12.80/13.19 permutation0:
% 12.80/13.19 0 ==> 0
% 12.80/13.19 1 ==> 1
% 12.80/13.19 end
% 12.80/13.19
% 12.80/13.19 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 12.80/13.19 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 12.80/13.19 sdtasdt0( X, Z ), Y = Z }.
% 12.80/13.19 parent0: (21381) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00,
% 12.80/13.19 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 12.80/13.20 sdtasdt0( X, Z ), Y = Z }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 Y := Y
% 12.80/13.20 Z := Z
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 1 ==> 1
% 12.80/13.20 2 ==> 2
% 12.80/13.20 3 ==> 3
% 12.80/13.20 4 ==> 4
% 12.80/13.20 5 ==> 5
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (50) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 12.80/13.20 aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 12.80/13.20 parent0: (21411) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 12.80/13.20 aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 Y := Y
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 1 ==> 1
% 12.80/13.20 2 ==> 2
% 12.80/13.20 3 ==> 3
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 12.80/13.20 parent0: (21423) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (63) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 12.80/13.20 parent0: (21425) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23020) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xm, skol3 ) = xn }.
% 12.80/13.20 parent0[0]: (21426) {G0,W5,D3,L1,V0,M1} { xn = sdtasdt0( xm, skol3 ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (64) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xm, skol3 ) ==> xn }.
% 12.80/13.20 parent0: (23020) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xm, skol3 ) = xn }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 *** allocated 576640 integers for termspace/termends
% 12.80/13.20 subsumption: (66) {G0,W3,D2,L1,V0,M1} I { ! xn ==> sz00 }.
% 12.80/13.20 parent0: (21428) {G0,W3,D2,L1,V0,M1} { ! xn = sz00 }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (68) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xm, xn ) }.
% 12.80/13.20 parent0: (21430) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xm, xn ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 resolution: (23782) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 12.80/13.20 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 12.80/13.20 parent0[0]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 12.80/13.20 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 12.80/13.20 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := xm
% 12.80/13.20 Y := X
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (221) {G1,W6,D3,L2,V1,M2} R(5,61) { ! aNaturalNumber0( X ),
% 12.80/13.20 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 12.80/13.20 parent0: (23782) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 12.80/13.20 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 1 ==> 1
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 resolution: (23785) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 12.80/13.20 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 12.80/13.20 parent0[1]: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 12.80/13.20 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 12.80/13.20 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 Y := xm
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (222) {G1,W6,D3,L2,V1,M2} R(5,61) { ! aNaturalNumber0( X ),
% 12.80/13.20 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 12.80/13.20 parent0: (23785) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 12.80/13.20 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 1 ==> 1
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 resolution: (23786) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm,
% 12.80/13.20 sz10 ) ) }.
% 12.80/13.20 parent0[0]: (221) {G1,W6,D3,L2,V1,M2} R(5,61) { ! aNaturalNumber0( X ),
% 12.80/13.20 aNaturalNumber0( sdtasdt0( xm, X ) ) }.
% 12.80/13.20 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := sz10
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (284) {G2,W4,D3,L1,V0,M1} R(221,2) { aNaturalNumber0( sdtasdt0
% 12.80/13.20 ( xm, sz10 ) ) }.
% 12.80/13.20 parent0: (23786) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( xm, sz10
% 12.80/13.20 ) ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 resolution: (23787) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( sz10
% 12.80/13.20 , xm ) ) }.
% 12.80/13.20 parent0[0]: (222) {G1,W6,D3,L2,V1,M2} R(5,61) { ! aNaturalNumber0( X ),
% 12.80/13.20 aNaturalNumber0( sdtasdt0( X, xm ) ) }.
% 12.80/13.20 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := sz10
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (420) {G2,W4,D3,L1,V0,M1} R(222,2) { aNaturalNumber0( sdtasdt0
% 12.80/13.20 ( sz10, xm ) ) }.
% 12.80/13.20 parent0: (23787) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtasdt0( sz10, xm
% 12.80/13.20 ) ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23788) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 12.80/13.20 aNaturalNumber0( X ) }.
% 12.80/13.20 parent0[1]: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 12.80/13.20 X, sz10 ) ==> X }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 resolution: (23789) {G1,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xm, sz10 ) }.
% 12.80/13.20 parent0[1]: (23788) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 12.80/13.20 aNaturalNumber0( X ) }.
% 12.80/13.20 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := xm
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23790) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> xm }.
% 12.80/13.20 parent0[0]: (23789) {G1,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xm, sz10 ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (572) {G1,W5,D3,L1,V0,M1} R(12,61) { sdtasdt0( xm, sz10 ) ==>
% 12.80/13.20 xm }.
% 12.80/13.20 parent0: (23790) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> xm }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23791) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( sz10, X ), !
% 12.80/13.20 aNaturalNumber0( X ) }.
% 12.80/13.20 parent0[1]: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 12.80/13.20 sz10, X ) ==> X }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 resolution: (23793) {G1,W9,D4,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 12.80/13.20 sdtasdt0( sz10, sdtasdt0( xm, sz10 ) ) }.
% 12.80/13.20 parent0[1]: (23791) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( sz10, X ), !
% 12.80/13.20 aNaturalNumber0( X ) }.
% 12.80/13.20 parent1[0]: (284) {G2,W4,D3,L1,V0,M1} R(221,2) { aNaturalNumber0( sdtasdt0
% 12.80/13.20 ( xm, sz10 ) ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := sdtasdt0( xm, sz10 )
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 paramod: (23795) {G2,W7,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==> sdtasdt0(
% 12.80/13.20 sz10, xm ) }.
% 12.80/13.20 parent0[0]: (572) {G1,W5,D3,L1,V0,M1} R(12,61) { sdtasdt0( xm, sz10 ) ==>
% 12.80/13.20 xm }.
% 12.80/13.20 parent1[0; 6]: (23793) {G1,W9,D4,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 12.80/13.20 sdtasdt0( sz10, sdtasdt0( xm, sz10 ) ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 paramod: (23796) {G2,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( sz10, xm ) }.
% 12.80/13.20 parent0[0]: (572) {G1,W5,D3,L1,V0,M1} R(12,61) { sdtasdt0( xm, sz10 ) ==>
% 12.80/13.20 xm }.
% 12.80/13.20 parent1[0; 1]: (23795) {G2,W7,D3,L1,V0,M1} { sdtasdt0( xm, sz10 ) ==>
% 12.80/13.20 sdtasdt0( sz10, xm ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23798) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz10, xm ) ==> xm }.
% 12.80/13.20 parent0[0]: (23796) {G2,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( sz10, xm ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (613) {G3,W5,D3,L1,V0,M1} R(13,284);d(572) { sdtasdt0( sz10,
% 12.80/13.20 xm ) ==> xm }.
% 12.80/13.20 parent0: (23798) {G2,W5,D3,L1,V0,M1} { sdtasdt0( sz10, xm ) ==> xm }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23800) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 12.80/13.20 aNaturalNumber0( X ) }.
% 12.80/13.20 parent0[1]: (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 12.80/13.20 X, sz00 ) ==> sz00 }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 resolution: (23802) {G1,W7,D4,L1,V0,M1} { sz00 ==> sdtasdt0( sdtasdt0(
% 12.80/13.20 sz10, xm ), sz00 ) }.
% 12.80/13.20 parent0[1]: (23800) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 12.80/13.20 aNaturalNumber0( X ) }.
% 12.80/13.20 parent1[0]: (420) {G2,W4,D3,L1,V0,M1} R(222,2) { aNaturalNumber0( sdtasdt0
% 12.80/13.20 ( sz10, xm ) ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := sdtasdt0( sz10, xm )
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 paramod: (23803) {G2,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xm, sz00 ) }.
% 12.80/13.20 parent0[0]: (613) {G3,W5,D3,L1,V0,M1} R(13,284);d(572) { sdtasdt0( sz10, xm
% 12.80/13.20 ) ==> xm }.
% 12.80/13.20 parent1[0; 3]: (23802) {G1,W7,D4,L1,V0,M1} { sz00 ==> sdtasdt0( sdtasdt0(
% 12.80/13.20 sz10, xm ), sz00 ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23804) {G2,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz00 ) ==> sz00 }.
% 12.80/13.20 parent0[0]: (23803) {G2,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xm, sz00 )
% 12.80/13.20 }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (628) {G4,W5,D3,L1,V0,M1} R(14,420);d(613) { sdtasdt0( xm,
% 12.80/13.20 sz00 ) ==> sz00 }.
% 12.80/13.20 parent0: (23804) {G2,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz00 ) ==> sz00 }.
% 12.80/13.20 substitution0:
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 0
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23805) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 12.80/13.20 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 12.80/13.20 sdtasdt0( X, Z ), Y = Z }.
% 12.80/13.20 parent0[1]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 12.80/13.20 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 12.80/13.20 sdtasdt0( X, Z ), Y = Z }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 Y := Y
% 12.80/13.20 Z := Z
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 resolution: (23810) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 12.80/13.20 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, skol3 ), Y
% 12.80/13.20 = skol3 }.
% 12.80/13.20 parent0[3]: (23805) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 12.80/13.20 ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 12.80/13.20 sdtasdt0( X, Z ), Y = Z }.
% 12.80/13.20 parent1[0]: (63) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 Y := Y
% 12.80/13.20 Z := skol3
% 12.80/13.20 end
% 12.80/13.20 substitution1:
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23813) {G1,W17,D3,L5,V2,M5} { skol3 = X, sz00 = Y, !
% 12.80/13.20 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 12.80/13.20 sdtasdt0( Y, skol3 ) }.
% 12.80/13.20 parent0[4]: (23810) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 12.80/13.20 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, skol3 ), Y
% 12.80/13.20 = skol3 }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := Y
% 12.80/13.20 Y := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23814) {G1,W17,D3,L5,V2,M5} { X = sz00, skol3 = Y, !
% 12.80/13.20 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 12.80/13.20 sdtasdt0( X, skol3 ) }.
% 12.80/13.20 parent0[1]: (23813) {G1,W17,D3,L5,V2,M5} { skol3 = X, sz00 = Y, !
% 12.80/13.20 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 12.80/13.20 sdtasdt0( Y, skol3 ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := Y
% 12.80/13.20 Y := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23815) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, skol3 ) = sdtasdt0(
% 12.80/13.20 X, Y ), X = sz00, skol3 = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 12.80/13.20 ) }.
% 12.80/13.20 parent0[4]: (23814) {G1,W17,D3,L5,V2,M5} { X = sz00, skol3 = Y, !
% 12.80/13.20 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 12.80/13.20 sdtasdt0( X, skol3 ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 Y := Y
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (1293) {G1,W17,D3,L5,V2,M5} R(20,63) { ! aNaturalNumber0( X )
% 12.80/13.20 , X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, skol3 ) = sdtasdt0( X
% 12.80/13.20 , Y ), skol3 = Y }.
% 12.80/13.20 parent0: (23815) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, skol3 ) = sdtasdt0
% 12.80/13.20 ( X, Y ), X = sz00, skol3 = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0
% 12.80/13.20 ( Y ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 Y := Y
% 12.80/13.20 end
% 12.80/13.20 permutation0:
% 12.80/13.20 0 ==> 3
% 12.80/13.20 1 ==> 1
% 12.80/13.20 2 ==> 4
% 12.80/13.20 3 ==> 0
% 12.80/13.20 4 ==> 2
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23836) {G1,W17,D3,L5,V2,M5} { X = skol3, ! aNaturalNumber0( Y ),
% 12.80/13.20 Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, skol3 ) = sdtasdt0( Y, X
% 12.80/13.20 ) }.
% 12.80/13.20 parent0[4]: (1293) {G1,W17,D3,L5,V2,M5} R(20,63) { ! aNaturalNumber0( X ),
% 12.80/13.20 X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, skol3 ) = sdtasdt0( X, Y
% 12.80/13.20 ), skol3 = Y }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := Y
% 12.80/13.20 Y := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23838) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) = sdtasdt0( X,
% 12.80/13.20 skol3 ), Y = skol3, ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0(
% 12.80/13.20 Y ) }.
% 12.80/13.20 parent0[4]: (23836) {G1,W17,D3,L5,V2,M5} { X = skol3, ! aNaturalNumber0( Y
% 12.80/13.20 ), Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, skol3 ) = sdtasdt0(
% 12.80/13.20 Y, X ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := Y
% 12.80/13.20 Y := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqfact: (23919) {G0,W17,D3,L5,V1,M5} { ! skol3 = sz00, ! sdtasdt0( X, X )
% 12.80/13.20 = sdtasdt0( X, skol3 ), ! aNaturalNumber0( X ), X = sz00, !
% 12.80/13.20 aNaturalNumber0( X ) }.
% 12.80/13.20 parent0[1, 3]: (23838) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) =
% 12.80/13.20 sdtasdt0( X, skol3 ), Y = skol3, ! aNaturalNumber0( X ), X = sz00, !
% 12.80/13.20 aNaturalNumber0( Y ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 Y := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 factor: (23922) {G0,W15,D3,L4,V1,M4} { ! skol3 = sz00, ! sdtasdt0( X, X )
% 12.80/13.20 = sdtasdt0( X, skol3 ), ! aNaturalNumber0( X ), X = sz00 }.
% 12.80/13.20 parent0[2, 4]: (23919) {G0,W17,D3,L5,V1,M5} { ! skol3 = sz00, ! sdtasdt0(
% 12.80/13.20 X, X ) = sdtasdt0( X, skol3 ), ! aNaturalNumber0( X ), X = sz00, !
% 12.80/13.20 aNaturalNumber0( X ) }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 eqswap: (23924) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, skol3 ) = sdtasdt0(
% 12.80/13.20 X, X ), ! skol3 = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 12.80/13.20 parent0[1]: (23922) {G0,W15,D3,L4,V1,M4} { ! skol3 = sz00, ! sdtasdt0( X,
% 12.80/13.20 X ) = sdtasdt0( X, skol3 ), ! aNaturalNumber0( X ), X = sz00 }.
% 12.80/13.20 substitution0:
% 12.80/13.20 X := X
% 12.80/13.20 end
% 12.80/13.20
% 12.80/13.20 subsumption: (1362) {G2,W15,D3,L4,V1,M4} E(1293);f { ! skol3 ==> sz00, !
% 12.80/13.20 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, skol3 ) = sdtasdt0( X, X )
% 12.80/13.20 }.
% 12.80/13.20 parent0: (23924) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, skol3 ) = sdtasdt0
% 63.54/63.93 ( X, X ), ! skol3 = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 X := X
% 63.54/63.93 end
% 63.54/63.93 permutation0:
% 63.54/63.93 0 ==> 3
% 63.54/63.93 1 ==> 0
% 63.54/63.93 2 ==> 1
% 63.54/63.93 3 ==> 2
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 eqswap: (23951) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> skol3, ! aNaturalNumber0
% 63.54/63.93 ( X ), X = sz00, ! sdtasdt0( X, skol3 ) = sdtasdt0( X, X ) }.
% 63.54/63.93 parent0[0]: (1362) {G2,W15,D3,L4,V1,M4} E(1293);f { ! skol3 ==> sz00, !
% 63.54/63.93 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, skol3 ) = sdtasdt0( X, X )
% 63.54/63.93 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 X := X
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 eqrefl: (23958) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> skol3, ! aNaturalNumber0
% 63.54/63.93 ( skol3 ), skol3 = sz00 }.
% 63.54/63.93 parent0[3]: (23951) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> skol3, !
% 63.54/63.93 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, skol3 ) = sdtasdt0( X, X )
% 63.54/63.93 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 X := skol3
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 resolution: (23959) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> skol3, skol3 = sz00
% 63.54/63.93 }.
% 63.54/63.93 parent0[1]: (23958) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> skol3, !
% 63.54/63.93 aNaturalNumber0( skol3 ), skol3 = sz00 }.
% 63.54/63.93 parent1[0]: (63) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93 substitution1:
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 eqswap: (23960) {G1,W6,D2,L2,V0,M2} { ! skol3 ==> sz00, skol3 = sz00 }.
% 63.54/63.93 parent0[0]: (23959) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> skol3, skol3 = sz00
% 63.54/63.93 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 subsumption: (1365) {G3,W6,D2,L2,V0,M2} Q(1362);r(63) { ! skol3 ==> sz00,
% 63.54/63.93 skol3 ==> sz00 }.
% 63.54/63.93 parent0: (23960) {G1,W6,D2,L2,V0,M2} { ! skol3 ==> sz00, skol3 = sz00 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93 permutation0:
% 63.54/63.93 0 ==> 0
% 63.54/63.93 1 ==> 1
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 eqswap: (23963) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> skol3, skol3 ==> sz00 }.
% 63.54/63.93 parent0[0]: (1365) {G3,W6,D2,L2,V0,M2} Q(1362);r(63) { ! skol3 ==> sz00,
% 63.54/63.93 skol3 ==> sz00 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 eqswap: (23966) {G0,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xm, skol3 ) }.
% 63.54/63.93 parent0[0]: (64) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xm, skol3 ) ==> xn }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 paramod: (23968) {G1,W8,D3,L2,V0,M2} { xn ==> sdtasdt0( xm, sz00 ), ! sz00
% 63.54/63.93 ==> skol3 }.
% 63.54/63.93 parent0[1]: (23963) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> skol3, skol3 ==> sz00
% 63.54/63.93 }.
% 63.54/63.93 parent1[0; 4]: (23966) {G0,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xm, skol3 )
% 63.54/63.93 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93 substitution1:
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 paramod: (23979) {G2,W6,D2,L2,V0,M2} { xn ==> sz00, ! sz00 ==> skol3 }.
% 63.54/63.93 parent0[0]: (628) {G4,W5,D3,L1,V0,M1} R(14,420);d(613) { sdtasdt0( xm, sz00
% 63.54/63.93 ) ==> sz00 }.
% 63.54/63.93 parent1[0; 2]: (23968) {G1,W8,D3,L2,V0,M2} { xn ==> sdtasdt0( xm, sz00 ),
% 63.54/63.93 ! sz00 ==> skol3 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93 substitution1:
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 eqswap: (23981) {G2,W6,D2,L2,V0,M2} { ! skol3 ==> sz00, xn ==> sz00 }.
% 63.54/63.93 parent0[1]: (23979) {G2,W6,D2,L2,V0,M2} { xn ==> sz00, ! sz00 ==> skol3
% 63.54/63.93 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 subsumption: (1714) {G5,W6,D2,L2,V0,M2} P(1365,64);d(628) { ! skol3 ==>
% 63.54/63.93 sz00, xn ==> sz00 }.
% 63.54/63.93 parent0: (23981) {G2,W6,D2,L2,V0,M2} { ! skol3 ==> sz00, xn ==> sz00 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93 permutation0:
% 63.54/63.93 0 ==> 0
% 63.54/63.93 1 ==> 1
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 resolution: (23987) {G1,W3,D2,L1,V0,M1} { ! skol3 ==> sz00 }.
% 63.54/63.93 parent0[0]: (66) {G0,W3,D2,L1,V0,M1} I { ! xn ==> sz00 }.
% 63.54/63.93 parent1[1]: (1714) {G5,W6,D2,L2,V0,M2} P(1365,64);d(628) { ! skol3 ==> sz00
% 63.54/63.93 , xn ==> sz00 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93 substitution1:
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 subsumption: (1715) {G6,W3,D2,L1,V0,M1} S(1714);r(66) { ! skol3 ==> sz00
% 63.54/63.93 }.
% 63.54/63.93 parent0: (23987) {G1,W3,D2,L1,V0,M1} { ! skol3 ==> sz00 }.
% 63.54/63.93 substitution0:
% 63.54/63.93 end
% 63.54/63.93 permutation0:
% 63.54/63.93 0 ==> 0
% 63.54/63.93 end
% 63.54/63.93
% 63.54/63.93 *** allocated 15000 integers for justifications
% 63.54/63.93 *** allocated 22500 integers for justifications
% 63.54/63.93 *** allocated 33750 integers for justifications
% 63.54/63.93 *** allocated 50625 integers for justifications
% 63.54/63.93 *** allocated 75937 integers for justifications
% 63.54/63.93 *** allocated 864960 integers for termspace/termends
% 63.54/63.93 *** allocated 113905 integers for justifications
% 63.54/63.93 *** allocated 1946160 integers for clauses
% 63.54/63.93 *** allocated 170857 integers for justifications
% 63.54/63.93 *** allocated 1297440 integers for termspace/termends
% 63.54/63.93 *** allocated 256285 integers for justifications
% 63.54/63.93 *** allocated 384427 integers for justifications
% 63.54/63.93 *** allocated 1946160 integers for termspace/termends
% 63.54/63.93 *** allocated 576640 integers for justifications
% 63.54/63.93 *** allocated 2919240 integers for termspace/termends
% 63.54/63.93 *** allocated 2919240 integers for clauses
% 63.54/63.93 *** allocated 864960 integers for justificatiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------