TSTP Solution File: NUM469+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM469+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:22:35 EDT 2022
% Result : Theorem 29.51s 29.83s
% Output : Refutation 29.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM469+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jul 5 04:17:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.91/1.17 *** allocated 10000 integers for termspace/termends
% 0.91/1.17 *** allocated 10000 integers for clauses
% 0.91/1.17 *** allocated 10000 integers for justifications
% 0.91/1.17 Bliksem 1.12
% 0.91/1.17
% 0.91/1.17
% 0.91/1.17 Automatic Strategy Selection
% 0.91/1.17
% 0.91/1.17
% 0.91/1.17 Clauses:
% 0.91/1.17
% 0.91/1.17 { && }.
% 0.91/1.17 { aNaturalNumber0( sz00 ) }.
% 0.91/1.17 { aNaturalNumber0( sz10 ) }.
% 0.91/1.17 { ! sz10 = sz00 }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.91/1.17 ( X, Y ) ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.91/1.17 ( X, Y ) ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.91/1.17 sdtpldt0( Y, X ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.91/1.17 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.91/1.17 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.91/1.17 sdtasdt0( Y, X ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.91/1.17 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.91/1.17 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.91/1.17 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.91/1.17 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.91/1.17 , Z ) ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.91/1.17 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.91/1.17 , X ) ) }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.91/1.17 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.91/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.91/1.17 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.91/1.17 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.91/1.17 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.91/1.17 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.91/1.17 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.91/1.18 , X = sz00 }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.91/1.18 , Y = sz00 }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.91/1.18 , X = sz00, Y = sz00 }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.91/1.18 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.91/1.18 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.91/1.18 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.91/1.18 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.91/1.18 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.91/1.18 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.91/1.18 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.91/1.18 sdtlseqdt0( Y, X ), X = Y }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.91/1.18 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.91/1.18 X }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.91/1.18 sdtlseqdt0( Y, X ) }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.91/1.18 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.91/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.91/1.18 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.91/1.18 ) ) }.
% 0.91/1.18 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.91/1.18 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.91/1.18 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 12.91/13.25 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 12.91/13.25 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 12.91/13.25 ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 12.91/13.25 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 12.91/13.25 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 12.91/13.25 sdtasdt0( Z, X ) ) }.
% 12.91/13.25 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 12.91/13.25 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 12.91/13.25 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 12.91/13.25 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 12.91/13.25 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 12.91/13.25 ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 12.91/13.25 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 12.91/13.25 sdtasdt0( Y, X ) ) }.
% 12.91/13.25 { && }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 12.91/13.25 ), iLess0( X, Y ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 12.91/13.25 aNaturalNumber0( skol2( Z, T ) ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 12.91/13.25 sdtasdt0( X, skol2( X, Y ) ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 12.91/13.25 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 12.91/13.25 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 12.91/13.25 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 12.91/13.25 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 12.91/13.25 ) }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 12.91/13.25 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 12.91/13.25 { aNaturalNumber0( xl ) }.
% 12.91/13.25 { aNaturalNumber0( xm ) }.
% 12.91/13.25 { aNaturalNumber0( xn ) }.
% 12.91/13.25 { aNaturalNumber0( skol3 ) }.
% 12.91/13.25 { xm = sdtasdt0( xl, skol3 ) }.
% 12.91/13.25 { doDivides0( xl, xm ) }.
% 12.91/13.25 { aNaturalNumber0( skol4 ) }.
% 12.91/13.25 { xn = sdtasdt0( xl, skol4 ) }.
% 12.91/13.25 { doDivides0( xl, xn ) }.
% 12.91/13.25 { xl = sz00, alpha3 }.
% 12.91/13.25 { xl = sz00, sdtpldt0( xm, xn ) = sdtasdt0( xl, sdtpldt0( sdtsldt0( xm, xl
% 12.91/13.25 ), sdtsldt0( xn, xl ) ) ) }.
% 12.91/13.25 { ! alpha3, alpha4 }.
% 12.91/13.25 { ! alpha3, xn = sdtasdt0( xl, sdtsldt0( xn, xl ) ) }.
% 12.91/13.25 { ! alpha4, ! xn = sdtasdt0( xl, sdtsldt0( xn, xl ) ), alpha3 }.
% 12.91/13.25 { ! alpha4, aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 12.91/13.25 { ! alpha4, xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ) }.
% 12.91/13.25 { ! alpha4, aNaturalNumber0( sdtsldt0( xn, xl ) ) }.
% 12.91/13.25 { ! aNaturalNumber0( sdtsldt0( xm, xl ) ), ! xm = sdtasdt0( xl, sdtsldt0(
% 12.91/13.25 xm, xl ) ), ! aNaturalNumber0( sdtsldt0( xn, xl ) ), alpha4 }.
% 12.91/13.25 { ! aNaturalNumber0( X ), ! sdtpldt0( xm, xn ) = sdtasdt0( xl, X ) }.
% 12.91/13.25 { ! doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 12.91/13.25
% 12.91/13.25 percentage equality = 0.304183, percentage horn = 0.759494
% 12.91/13.25 This is a problem with some equality
% 12.91/13.25
% 12.91/13.25
% 12.91/13.25
% 12.91/13.25 Options Used:
% 12.91/13.25
% 12.91/13.25 useres = 1
% 12.91/13.25 useparamod = 1
% 12.91/13.25 useeqrefl = 1
% 12.91/13.25 useeqfact = 1
% 12.91/13.25 usefactor = 1
% 12.91/13.25 usesimpsplitting = 0
% 12.91/13.25 usesimpdemod = 5
% 12.91/13.25 usesimpres = 3
% 12.91/13.25
% 12.91/13.25 resimpinuse = 1000
% 12.91/13.25 resimpclauses = 20000
% 12.91/13.25 substype = eqrewr
% 12.91/13.25 backwardsubs = 1
% 12.91/13.25 selectoldest = 5
% 12.91/13.25
% 12.91/13.25 litorderings [0] = split
% 12.91/13.25 litorderings [1] = extend the termordering, first sorting on arguments
% 12.91/13.25
% 12.91/13.25 termordering = kbo
% 12.91/13.25
% 12.91/13.25 litapriori = 0
% 12.91/13.25 termapriori = 1
% 12.91/13.25 litaposteriori = 0
% 12.91/13.25 termaposteriori = 0
% 12.91/13.25 demodaposteriori = 0
% 12.91/13.25 ordereqreflfact = 0
% 12.91/13.25
% 12.91/13.25 litselect = negord
% 12.91/13.25
% 12.91/13.25 maxweight = 15
% 12.91/13.25 maxdepth = 30000
% 12.91/13.25 maxlength = 115
% 12.91/13.25 maxnrvars = 195
% 12.91/13.25 excuselevel = 1
% 12.91/13.25 increasemaxweight = 1
% 12.91/13.25
% 12.91/13.25 maxselected = 10000000
% 12.91/13.25 maxnrclauses = 10000000
% 12.91/13.25
% 12.91/13.25 showgenerated = 0
% 12.91/13.25 showkept = 0
% 12.91/13.25 showselected = 0
% 12.91/13.25 showdeleted = 0
% 12.91/13.25 showresimp = 1
% 12.91/13.25 showstatus = 2000
% 12.91/13.25
% 12.91/13.25 prologoutput = 0
% 12.91/13.25 nrgoals = 5000000
% 29.51/29.83 totalproof = 1
% 29.51/29.83
% 29.51/29.83 Symbols occurring in the translation:
% 29.51/29.83
% 29.51/29.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 29.51/29.83 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 29.51/29.83 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 29.51/29.83 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 29.51/29.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 29.51/29.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 29.51/29.83 aNaturalNumber0 [36, 1] (w:1, o:23, a:1, s:1, b:0),
% 29.51/29.83 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 29.51/29.83 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 29.51/29.83 sdtpldt0 [40, 2] (w:1, o:48, a:1, s:1, b:0),
% 29.51/29.83 sdtasdt0 [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 29.51/29.83 sdtlseqdt0 [43, 2] (w:1, o:50, a:1, s:1, b:0),
% 29.51/29.83 sdtmndt0 [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 29.51/29.83 iLess0 [45, 2] (w:1, o:52, a:1, s:1, b:0),
% 29.51/29.83 doDivides0 [46, 2] (w:1, o:53, a:1, s:1, b:0),
% 29.51/29.83 sdtsldt0 [47, 2] (w:1, o:54, a:1, s:1, b:0),
% 29.51/29.83 xl [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 29.51/29.83 xm [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 29.51/29.83 xn [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 29.51/29.83 alpha1 [51, 3] (w:1, o:57, a:1, s:1, b:1),
% 29.51/29.83 alpha2 [52, 3] (w:1, o:58, a:1, s:1, b:1),
% 29.51/29.83 alpha3 [53, 0] (w:1, o:14, a:1, s:1, b:1),
% 29.51/29.83 alpha4 [54, 0] (w:1, o:15, a:1, s:1, b:1),
% 29.51/29.83 skol1 [55, 2] (w:1, o:55, a:1, s:1, b:1),
% 29.51/29.83 skol2 [56, 2] (w:1, o:56, a:1, s:1, b:1),
% 29.51/29.83 skol3 [57, 0] (w:1, o:16, a:1, s:1, b:1),
% 29.51/29.83 skol4 [58, 0] (w:1, o:17, a:1, s:1, b:1).
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Starting Search:
% 29.51/29.83
% 29.51/29.83 *** allocated 15000 integers for clauses
% 29.51/29.83 *** allocated 22500 integers for clauses
% 29.51/29.83 *** allocated 33750 integers for clauses
% 29.51/29.83 *** allocated 50625 integers for clauses
% 29.51/29.83 *** allocated 15000 integers for termspace/termends
% 29.51/29.83 *** allocated 75937 integers for clauses
% 29.51/29.83 *** allocated 22500 integers for termspace/termends
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 113905 integers for clauses
% 29.51/29.83 *** allocated 33750 integers for termspace/termends
% 29.51/29.83 *** allocated 50625 integers for termspace/termends
% 29.51/29.83 *** allocated 170857 integers for clauses
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 12603
% 29.51/29.83 Kept: 2053
% 29.51/29.83 Inuse: 123
% 29.51/29.83 Deleted: 9
% 29.51/29.83 Deletedinuse: 1
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 75937 integers for termspace/termends
% 29.51/29.83 *** allocated 256285 integers for clauses
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 25678
% 29.51/29.83 Kept: 4070
% 29.51/29.83 Inuse: 178
% 29.51/29.83 Deleted: 30
% 29.51/29.83 Deletedinuse: 18
% 29.51/29.83
% 29.51/29.83 *** allocated 113905 integers for termspace/termends
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 384427 integers for clauses
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 170857 integers for termspace/termends
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 49637
% 29.51/29.83 Kept: 6331
% 29.51/29.83 Inuse: 219
% 29.51/29.83 Deleted: 40
% 29.51/29.83 Deletedinuse: 18
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 576640 integers for clauses
% 29.51/29.83 *** allocated 256285 integers for termspace/termends
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 70088
% 29.51/29.83 Kept: 8544
% 29.51/29.83 Inuse: 250
% 29.51/29.83 Deleted: 46
% 29.51/29.83 Deletedinuse: 20
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 95888
% 29.51/29.83 Kept: 10750
% 29.51/29.83 Inuse: 369
% 29.51/29.83 Deleted: 64
% 29.51/29.83 Deletedinuse: 22
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 864960 integers for clauses
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 120402
% 29.51/29.83 Kept: 12751
% 29.51/29.83 Inuse: 419
% 29.51/29.83 Deleted: 77
% 29.51/29.83 Deletedinuse: 26
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 384427 integers for termspace/termends
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 136198
% 29.51/29.83 Kept: 14752
% 29.51/29.83 Inuse: 479
% 29.51/29.83 Deleted: 83
% 29.51/29.83 Deletedinuse: 27
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 148816
% 29.51/29.83 Kept: 16759
% 29.51/29.83 Inuse: 505
% 29.51/29.83 Deleted: 87
% 29.51/29.83 Deletedinuse: 29
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 1297440 integers for clauses
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 185418
% 29.51/29.83 Kept: 18879
% 29.51/29.83 Inuse: 553
% 29.51/29.83 Deleted: 88
% 29.51/29.83 Deletedinuse: 29
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying clauses:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 198746
% 29.51/29.83 Kept: 21972
% 29.51/29.83 Inuse: 572
% 29.51/29.83 Deleted: 5055
% 29.51/29.83 Deletedinuse: 30
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 576640 integers for termspace/termends
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 224156
% 29.51/29.83 Kept: 24009
% 29.51/29.83 Inuse: 615
% 29.51/29.83 Deleted: 5082
% 29.51/29.83 Deletedinuse: 57
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 247862
% 29.51/29.83 Kept: 26009
% 29.51/29.83 Inuse: 653
% 29.51/29.83 Deleted: 5082
% 29.51/29.83 Deletedinuse: 57
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 1946160 integers for clauses
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 262055
% 29.51/29.83 Kept: 28025
% 29.51/29.83 Inuse: 675
% 29.51/29.83 Deleted: 5082
% 29.51/29.83 Deletedinuse: 57
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 273456
% 29.51/29.83 Kept: 30312
% 29.51/29.83 Inuse: 699
% 29.51/29.83 Deleted: 5082
% 29.51/29.83 Deletedinuse: 57
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 279605
% 29.51/29.83 Kept: 32401
% 29.51/29.83 Inuse: 709
% 29.51/29.83 Deleted: 5082
% 29.51/29.83 Deletedinuse: 57
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 285844
% 29.51/29.83 Kept: 34433
% 29.51/29.83 Inuse: 719
% 29.51/29.83 Deleted: 5082
% 29.51/29.83 Deletedinuse: 57
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 300844
% 29.51/29.83 Kept: 36519
% 29.51/29.83 Inuse: 757
% 29.51/29.83 Deleted: 5084
% 29.51/29.83 Deletedinuse: 57
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 864960 integers for termspace/termends
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 316817
% 29.51/29.83 Kept: 38699
% 29.51/29.83 Inuse: 795
% 29.51/29.83 Deleted: 5094
% 29.51/29.83 Deletedinuse: 65
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 *** allocated 2919240 integers for clauses
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Intermediate Status:
% 29.51/29.83 Generated: 334639
% 29.51/29.83 Kept: 40718
% 29.51/29.83 Inuse: 837
% 29.51/29.83 Deleted: 5118
% 29.51/29.83 Deletedinuse: 86
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying inuse:
% 29.51/29.83 Done
% 29.51/29.83
% 29.51/29.83 Resimplifying clauses:
% 29.51/29.83
% 29.51/29.83 Bliksems!, er is een bewijs:
% 29.51/29.83 % SZS status Theorem
% 29.51/29.83 % SZS output start Refutation
% 29.51/29.83
% 29.51/29.83 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 29.51/29.83 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 29.51/29.83 (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 29.51/29.83 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 29.51/29.83 (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( sz00, X ) ==>
% 29.51/29.83 X }.
% 29.51/29.83 (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( sz00, X )
% 29.51/29.83 ==> sz00 }.
% 29.51/29.83 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 29.51/29.83 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.51/29.83 sdtasdt0( X, Z ), Y = Z }.
% 29.51/29.83 (57) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 29.51/29.83 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 29.51/29.83 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 29.51/29.83 (59) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 29.51/29.83 (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 29.51/29.83 (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 29.51/29.83 (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 29.51/29.83 (63) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, skol3 ) ==> xm }.
% 29.51/29.83 (64) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xm ) }.
% 29.51/29.83 (65) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol4 ) }.
% 29.51/29.83 (66) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, skol4 ) ==> xn }.
% 29.51/29.83 (67) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xn ) }.
% 29.51/29.83 (69) {G0,W16,D5,L2,V0,M2} I { xl ==> sz00, sdtasdt0( xl, sdtpldt0( sdtsldt0
% 29.51/29.83 ( xm, xl ), sdtsldt0( xn, xl ) ) ) ==> sdtpldt0( xm, xn ) }.
% 29.51/29.83 (77) {G0,W9,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), ! sdtpldt0( xm, xn ) =
% 29.51/29.83 sdtasdt0( xl, X ) }.
% 29.51/29.83 (78) {G0,W5,D3,L1,V0,M1} I { ! doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 29.51/29.83 (212) {G1,W6,D3,L2,V1,M2} R(4,62) { ! aNaturalNumber0( X ), aNaturalNumber0
% 29.51/29.83 ( sdtpldt0( X, skol3 ) ) }.
% 29.51/29.83 (270) {G1,W9,D3,L2,V1,M2} R(6,60) { ! aNaturalNumber0( X ), sdtpldt0( xm, X
% 29.51/29.83 ) = sdtpldt0( X, xm ) }.
% 29.51/29.83 (272) {G1,W9,D3,L2,V1,M2} R(6,62) { ! aNaturalNumber0( X ), sdtpldt0( skol3
% 29.51/29.83 , X ) = sdtpldt0( X, skol3 ) }.
% 29.51/29.83 (348) {G1,W5,D3,L1,V0,M1} R(9,61) { sdtpldt0( sz00, xn ) ==> xn }.
% 29.51/29.83 (505) {G1,W5,D3,L1,V0,M1} R(15,62) { sdtasdt0( sz00, skol3 ) ==> sz00 }.
% 29.51/29.83 (506) {G1,W5,D3,L1,V0,M1} R(15,65) { sdtasdt0( sz00, skol4 ) ==> sz00 }.
% 29.51/29.83 (1046) {G1,W17,D3,L5,V2,M5} R(20,59) { ! aNaturalNumber0( X ), X = sz00, !
% 29.51/29.83 aNaturalNumber0( Y ), ! sdtasdt0( X, xl ) = sdtasdt0( X, Y ), xl = Y }.
% 29.51/29.83 (1183) {G2,W15,D3,L4,V1,M4} E(1046);f { ! xl ==> sz00, ! aNaturalNumber0( X
% 29.51/29.83 ), X = sz00, ! sdtasdt0( X, xl ) = sdtasdt0( X, X ) }.
% 29.51/29.83 (1186) {G3,W6,D2,L2,V0,M2} Q(1183);r(59) { ! xl ==> sz00, xl ==> sz00 }.
% 29.51/29.83 (1211) {G4,W6,D2,L2,V0,M2} P(1186,63);d(505) { ! xl ==> sz00, xm ==> sz00
% 29.51/29.83 }.
% 29.51/29.83 (1212) {G4,W6,D2,L2,V0,M2} P(1186,66);d(506) { ! xl ==> sz00, xn ==> sz00
% 29.51/29.83 }.
% 29.51/29.83 (1213) {G5,W6,D2,L2,V0,M2} P(1186,78);d(1211);d(348);d(1212) { ! xl ==>
% 29.51/29.83 sz00, ! doDivides0( sz00, sz00 ) }.
% 29.51/29.83 (1214) {G6,W3,D2,L1,V0,M1} P(1186,64);d(1211);r(1213) { ! xl ==> sz00 }.
% 29.51/29.83 (8483) {G1,W18,D3,L6,V1,M6} P(63,57);r(59) { ! aNaturalNumber0( X ), xl ==>
% 29.51/29.83 sz00, ! doDivides0( xl, X ), ! aNaturalNumber0( skol3 ), ! X = xm,
% 29.51/29.83 sdtsldt0( X, xl ) ==> skol3 }.
% 29.51/29.83 (8486) {G1,W18,D3,L6,V1,M6} P(66,57);r(59) { ! aNaturalNumber0( X ), xl ==>
% 29.51/29.83 sz00, ! doDivides0( xl, X ), ! aNaturalNumber0( skol4 ), ! X = xn,
% 29.51/29.83 sdtsldt0( X, xl ) ==> skol4 }.
% 29.51/29.83 (8514) {G2,W13,D3,L4,V0,M4} Q(8486);r(61) { xl ==> sz00, ! doDivides0( xl,
% 29.51/29.83 xn ), ! aNaturalNumber0( skol4 ), sdtsldt0( xn, xl ) ==> skol4 }.
% 29.51/29.83 (8516) {G2,W13,D3,L4,V0,M4} Q(8483);r(60) { xl ==> sz00, ! doDivides0( xl,
% 29.51/29.83 xm ), ! aNaturalNumber0( skol3 ), sdtsldt0( xm, xl ) ==> skol3 }.
% 29.51/29.83 (8704) {G7,W13,D5,L1,V0,M1} S(69);r(1214) { sdtasdt0( xl, sdtpldt0(
% 29.51/29.83 sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) ==> sdtpldt0( xm, xn ) }.
% 29.51/29.83 (19846) {G2,W4,D3,L1,V0,M1} R(212,65) { aNaturalNumber0( sdtpldt0( skol4,
% 29.51/29.83 skol3 ) ) }.
% 29.51/29.83 (19883) {G3,W9,D4,L1,V0,M1} R(19846,77) { ! sdtasdt0( xl, sdtpldt0( skol4,
% 29.51/29.83 skol3 ) ) ==> sdtpldt0( xm, xn ) }.
% 29.51/29.83 (21459) {G7,W5,D3,L1,V0,M1} S(8516);r(1214);r(64);r(62) { sdtsldt0( xm, xl
% 29.51/29.83 ) ==> skol3 }.
% 29.51/29.83 (21462) {G7,W5,D3,L1,V0,M1} S(8514);r(1214);r(67);r(65) { sdtsldt0( xn, xl
% 29.51/29.83 ) ==> skol4 }.
% 29.51/29.83 (40284) {G2,W7,D3,L1,V0,M1} R(270,61) { sdtpldt0( xm, xn ) ==> sdtpldt0( xn
% 29.51/29.83 , xm ) }.
% 29.51/29.83 (40684) {G2,W7,D3,L1,V0,M1} R(272,65) { sdtpldt0( skol3, skol4 ) ==>
% 29.51/29.83 sdtpldt0( skol4, skol3 ) }.
% 29.51/29.83 (43097) {G4,W9,D4,L1,V0,M1} S(19883);d(40284) { ! sdtasdt0( xl, sdtpldt0(
% 29.51/29.83 skol4, skol3 ) ) ==> sdtpldt0( xn, xm ) }.
% 29.51/29.83 (43353) {G8,W0,D0,L0,V0,M0} S(8704);d(21459);d(21462);d(40684);d(40284);r(
% 29.51/29.83 43097) { }.
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 % SZS output end Refutation
% 29.51/29.83 found a proof!
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Unprocessed initial clauses:
% 29.51/29.83
% 29.51/29.83 (43355) {G0,W1,D1,L1,V0,M1} { && }.
% 29.51/29.83 (43356) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 29.51/29.83 (43357) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 29.51/29.83 (43358) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 29.51/29.83 (43359) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 29.51/29.83 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 29.51/29.83 (43360) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 29.51/29.83 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 29.51/29.83 (43361) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 29.51/29.83 (43362) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 29.51/29.83 X, sdtpldt0( Y, Z ) ) }.
% 29.51/29.83 (43363) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 29.51/29.83 = X }.
% 29.51/29.83 (43364) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 29.51/29.83 X ) }.
% 29.51/29.83 (43365) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 29.51/29.83 (43366) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 29.51/29.83 X, sdtasdt0( Y, Z ) ) }.
% 29.51/29.83 (43367) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 29.51/29.83 = X }.
% 29.51/29.83 (43368) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 29.51/29.83 X ) }.
% 29.51/29.83 (43369) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 29.51/29.83 = sz00 }.
% 29.51/29.83 (43370) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 29.51/29.83 sz00, X ) }.
% 29.51/29.83 (43371) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 29.51/29.83 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 29.51/29.83 (43372) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 29.51/29.83 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 29.51/29.83 (43373) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 29.51/29.83 }.
% 29.51/29.83 (43374) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 29.51/29.83 }.
% 29.51/29.83 (43375) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 29.51/29.83 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.51/29.83 sdtasdt0( X, Z ), Y = Z }.
% 29.51/29.83 (43376) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 29.51/29.83 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 29.51/29.83 sdtasdt0( Z, X ), Y = Z }.
% 29.51/29.83 (43377) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 29.51/29.83 (43378) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 29.51/29.83 (43379) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 29.51/29.83 (43380) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 29.51/29.83 (43381) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 29.51/29.83 (43382) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 29.51/29.83 }.
% 29.51/29.83 (43383) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 29.51/29.83 }.
% 29.51/29.83 (43384) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 29.51/29.83 }.
% 29.51/29.83 (43385) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 29.51/29.83 , Z = sdtmndt0( Y, X ) }.
% 29.51/29.83 (43386) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 29.51/29.83 }.
% 29.51/29.83 (43387) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 29.51/29.83 (43388) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 29.51/29.83 sdtlseqdt0( X, Z ) }.
% 29.51/29.83 (43389) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 29.51/29.83 (43390) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 29.51/29.83 (43391) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 29.51/29.83 ) }.
% 29.51/29.83 (43392) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 29.51/29.83 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 29.51/29.83 (43393) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 29.51/29.83 sdtpldt0( Z, Y ) }.
% 29.51/29.83 (43394) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 29.51/29.83 Z, X ), sdtpldt0( Z, Y ) ) }.
% 29.51/29.83 (43395) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 29.51/29.83 sdtpldt0( Y, Z ) }.
% 29.51/29.83 (43396) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 29.51/29.83 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 29.51/29.83 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 29.51/29.83 (43397) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 29.51/29.83 alpha2( X, Y, Z ) }.
% 29.51/29.83 (43398) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 29.51/29.83 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 29.51/29.83 (43399) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 29.51/29.83 sdtasdt0( X, Z ) }.
% 29.51/29.83 (43400) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 29.51/29.83 X, Y ), sdtasdt0( X, Z ) ) }.
% 29.51/29.83 (43401) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 29.51/29.83 sdtasdt0( Z, X ) }.
% 29.51/29.83 (43402) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 29.51/29.83 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 29.51/29.83 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 29.51/29.83 (43403) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 29.51/29.83 , ! sz10 = X }.
% 29.51/29.83 (43404) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 29.51/29.83 , sdtlseqdt0( sz10, X ) }.
% 29.51/29.83 (43405) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 29.51/29.83 (43406) {G0,W1,D1,L1,V0,M1} { && }.
% 29.51/29.83 (43407) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 29.51/29.83 (43408) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 29.51/29.83 (43409) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 29.51/29.83 (43410) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 29.51/29.83 }.
% 29.51/29.83 (43411) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 29.51/29.83 aNaturalNumber0( Z ) }.
% 29.51/29.83 (43412) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 29.51/29.83 ( X, Z ) }.
% 29.51/29.83 (43413) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 29.51/29.83 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 29.51/29.83 (43414) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 29.51/29.83 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 29.51/29.83 doDivides0( X, Z ) }.
% 29.51/29.83 (43415) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 29.51/29.83 (43416) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 29.51/29.83 (43417) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 29.51/29.83 (43418) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 29.51/29.83 (43419) {G0,W5,D3,L1,V0,M1} { xm = sdtasdt0( xl, skol3 ) }.
% 29.51/29.83 (43420) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 29.51/29.83 (43421) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol4 ) }.
% 29.51/29.83 (43422) {G0,W5,D3,L1,V0,M1} { xn = sdtasdt0( xl, skol4 ) }.
% 29.51/29.83 (43423) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xn ) }.
% 29.51/29.83 (43424) {G0,W4,D2,L2,V0,M2} { xl = sz00, alpha3 }.
% 29.51/29.83 (43425) {G0,W16,D5,L2,V0,M2} { xl = sz00, sdtpldt0( xm, xn ) = sdtasdt0(
% 29.51/29.83 xl, sdtpldt0( sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) }.
% 29.51/29.83 (43426) {G0,W2,D1,L2,V0,M2} { ! alpha3, alpha4 }.
% 29.51/29.83 (43427) {G0,W8,D4,L2,V0,M2} { ! alpha3, xn = sdtasdt0( xl, sdtsldt0( xn,
% 29.51/29.83 xl ) ) }.
% 29.51/29.83 (43428) {G0,W9,D4,L3,V0,M3} { ! alpha4, ! xn = sdtasdt0( xl, sdtsldt0( xn
% 29.51/29.83 , xl ) ), alpha3 }.
% 29.51/29.83 (43429) {G0,W5,D3,L2,V0,M2} { ! alpha4, aNaturalNumber0( sdtsldt0( xm, xl
% 29.51/29.83 ) ) }.
% 29.51/29.83 (43430) {G0,W8,D4,L2,V0,M2} { ! alpha4, xm = sdtasdt0( xl, sdtsldt0( xm,
% 29.51/29.83 xl ) ) }.
% 29.51/29.83 (43431) {G0,W5,D3,L2,V0,M2} { ! alpha4, aNaturalNumber0( sdtsldt0( xn, xl
% 29.51/29.83 ) ) }.
% 29.51/29.83 (43432) {G0,W16,D4,L4,V0,M4} { ! aNaturalNumber0( sdtsldt0( xm, xl ) ), !
% 29.51/29.83 xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ), ! aNaturalNumber0( sdtsldt0( xn
% 29.51/29.83 , xl ) ), alpha4 }.
% 29.51/29.83 (43433) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xm, xn )
% 29.51/29.83 = sdtasdt0( xl, X ) }.
% 29.51/29.83 (43434) {G0,W5,D3,L1,V0,M1} { ! doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 29.51/29.83
% 29.51/29.83
% 29.51/29.83 Total Proof:
% 29.51/29.83
% 29.51/29.83 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 29.51/29.83 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 29.51/29.83 parent0: (43359) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 29.51/29.83 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 29.51/29.83 substitution0:
% 29.51/29.83 X := X
% 29.51/29.83 Y := Y
% 29.51/29.83 end
% 29.51/29.83 permutation0:
% 29.51/29.83 0 ==> 0
% 29.51/29.83 1 ==> 1
% 29.51/29.83 2 ==> 2
% 29.51/29.83 end
% 29.51/29.83
% 29.51/29.83 subsumption: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 29.51/29.83 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 29.51/29.83 parent0: (43361) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 29.51/29.83 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 29.51/29.83 substitution0:
% 29.51/29.83 X := X
% 29.51/29.83 Y := Y
% 29.51/29.83 end
% 29.51/29.83 permutation0:
% 29.51/29.83 0 ==> 0
% 29.51/29.84 1 ==> 1
% 29.51/29.84 2 ==> 2
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 eqswap: (43455) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 29.51/29.84 aNaturalNumber0( X ) }.
% 29.51/29.84 parent0[1]: (43364) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 29.51/29.84 sdtpldt0( sz00, X ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 X := X
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 29.51/29.84 sz00, X ) ==> X }.
% 29.51/29.84 parent0: (43455) {G0,W7,D3,L2,V1,M2} { sdtpldt0( sz00, X ) = X, !
% 29.51/29.84 aNaturalNumber0( X ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 X := X
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 1
% 29.51/29.84 1 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 eqswap: (43484) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 29.51/29.84 aNaturalNumber0( X ) }.
% 29.51/29.84 parent0[1]: (43370) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 =
% 29.51/29.84 sdtasdt0( sz00, X ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 X := X
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 29.51/29.84 ( sz00, X ) ==> sz00 }.
% 29.51/29.84 parent0: (43484) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 29.51/29.84 aNaturalNumber0( X ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 X := X
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 1
% 29.51/29.84 1 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 29.51/29.84 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.51/29.84 sdtasdt0( X, Z ), Y = Z }.
% 29.51/29.84 parent0: (43375) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00,
% 29.51/29.84 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.51/29.84 sdtasdt0( X, Z ), Y = Z }.
% 29.51/29.84 substitution0:
% 29.51/29.84 X := X
% 29.51/29.84 Y := Y
% 29.51/29.84 Z := Z
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 1 ==> 1
% 29.51/29.84 2 ==> 2
% 29.51/29.84 3 ==> 3
% 29.51/29.84 4 ==> 4
% 29.51/29.84 5 ==> 5
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (57) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 29.51/29.84 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 29.51/29.84 Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 29.51/29.84 parent0: (43413) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), !
% 29.51/29.84 aNaturalNumber0( Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0(
% 29.51/29.84 Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 X := X
% 29.51/29.84 Y := Y
% 29.51/29.84 Z := Z
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 1 ==> 1
% 29.51/29.84 2 ==> 2
% 29.51/29.84 3 ==> 3
% 29.51/29.84 4 ==> 4
% 29.51/29.84 5 ==> 5
% 29.51/29.84 6 ==> 6
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (59) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 29.51/29.84 parent0: (43415) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 29.51/29.84 parent0: (43416) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 29.51/29.84 parent0: (43417) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 29.51/29.84 parent0: (43418) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 eqswap: (45767) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xl, skol3 ) = xm }.
% 29.51/29.84 parent0[0]: (43419) {G0,W5,D3,L1,V0,M1} { xm = sdtasdt0( xl, skol3 ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (63) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, skol3 ) ==> xm }.
% 29.51/29.84 parent0: (45767) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xl, skol3 ) = xm }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (64) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xm ) }.
% 29.51/29.84 parent0: (43420) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (65) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol4 ) }.
% 29.51/29.84 parent0: (43421) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol4 ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 eqswap: (46872) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xl, skol4 ) = xn }.
% 29.51/29.84 parent0[0]: (43422) {G0,W5,D3,L1,V0,M1} { xn = sdtasdt0( xl, skol4 ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (66) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, skol4 ) ==> xn }.
% 29.51/29.84 parent0: (46872) {G0,W5,D3,L1,V0,M1} { sdtasdt0( xl, skol4 ) = xn }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 subsumption: (67) {G0,W3,D2,L1,V0,M1} I { doDivides0( xl, xn ) }.
% 29.51/29.84 parent0: (43423) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xn ) }.
% 29.51/29.84 substitution0:
% 29.51/29.84 end
% 29.51/29.84 permutation0:
% 29.51/29.84 0 ==> 0
% 29.51/29.84 end
% 29.51/29.84
% 29.51/29.84 eqswap: (47613) {G0,W16,D5,L2,V0,M2} { sdtasdt0( xl, sdtpldt0( sdtsldt0(
% 29.51/29.85 xm, xl ), sdtsldt0( xn, xl ) ) ) = sdtpldt0( xm, xn ), xl = sz00 }.
% 29.51/29.85 parent0[1]: (43425) {G0,W16,D5,L2,V0,M2} { xl = sz00, sdtpldt0( xm, xn ) =
% 29.51/29.85 sdtasdt0( xl, sdtpldt0( sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (69) {G0,W16,D5,L2,V0,M2} I { xl ==> sz00, sdtasdt0( xl,
% 29.51/29.85 sdtpldt0( sdtsldt0( xm, xl ), sdtsldt0( xn, xl ) ) ) ==> sdtpldt0( xm, xn
% 29.51/29.85 ) }.
% 29.51/29.85 parent0: (47613) {G0,W16,D5,L2,V0,M2} { sdtasdt0( xl, sdtpldt0( sdtsldt0(
% 29.51/29.85 xm, xl ), sdtsldt0( xn, xl ) ) ) = sdtpldt0( xm, xn ), xl = sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 1
% 29.51/29.85 1 ==> 0
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (77) {G0,W9,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), !
% 29.51/29.85 sdtpldt0( xm, xn ) = sdtasdt0( xl, X ) }.
% 29.51/29.85 parent0: (43433) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0
% 29.51/29.85 ( xm, xn ) = sdtasdt0( xl, X ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 1 ==> 1
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (78) {G0,W5,D3,L1,V0,M1} I { ! doDivides0( xl, sdtpldt0( xm,
% 29.51/29.85 xn ) ) }.
% 29.51/29.85 parent0: (43434) {G0,W5,D3,L1,V0,M1} { ! doDivides0( xl, sdtpldt0( xm, xn
% 29.51/29.85 ) ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 resolution: (48372) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 29.51/29.85 aNaturalNumber0( sdtpldt0( X, skol3 ) ) }.
% 29.51/29.85 parent0[1]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 29.51/29.85 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 29.51/29.85 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 Y := skol3
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (212) {G1,W6,D3,L2,V1,M2} R(4,62) { ! aNaturalNumber0( X ),
% 29.51/29.85 aNaturalNumber0( sdtpldt0( X, skol3 ) ) }.
% 29.51/29.85 parent0: (48372) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 29.51/29.85 aNaturalNumber0( sdtpldt0( X, skol3 ) ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 1 ==> 1
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 resolution: (48373) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0
% 29.51/29.85 ( xm, X ) = sdtpldt0( X, xm ) }.
% 29.51/29.85 parent0[0]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 29.51/29.85 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 29.51/29.85 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := xm
% 29.51/29.85 Y := X
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (270) {G1,W9,D3,L2,V1,M2} R(6,60) { ! aNaturalNumber0( X ),
% 29.51/29.85 sdtpldt0( xm, X ) = sdtpldt0( X, xm ) }.
% 29.51/29.85 parent0: (48373) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0(
% 29.51/29.85 xm, X ) = sdtpldt0( X, xm ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 1 ==> 1
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 resolution: (48375) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0
% 29.51/29.85 ( skol3, X ) = sdtpldt0( X, skol3 ) }.
% 29.51/29.85 parent0[0]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 29.51/29.85 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 29.51/29.85 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := skol3
% 29.51/29.85 Y := X
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (272) {G1,W9,D3,L2,V1,M2} R(6,62) { ! aNaturalNumber0( X ),
% 29.51/29.85 sdtpldt0( skol3, X ) = sdtpldt0( X, skol3 ) }.
% 29.51/29.85 parent0: (48375) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0(
% 29.51/29.85 skol3, X ) = sdtpldt0( X, skol3 ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 1 ==> 1
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48377) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( sz00, X ), !
% 29.51/29.85 aNaturalNumber0( X ) }.
% 29.51/29.85 parent0[1]: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0(
% 29.51/29.85 sz00, X ) ==> X }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 resolution: (48378) {G1,W5,D3,L1,V0,M1} { xn ==> sdtpldt0( sz00, xn ) }.
% 29.51/29.85 parent0[1]: (48377) {G0,W7,D3,L2,V1,M2} { X ==> sdtpldt0( sz00, X ), !
% 29.51/29.85 aNaturalNumber0( X ) }.
% 29.51/29.85 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := xn
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48379) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, xn ) ==> xn }.
% 29.51/29.85 parent0[0]: (48378) {G1,W5,D3,L1,V0,M1} { xn ==> sdtpldt0( sz00, xn ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (348) {G1,W5,D3,L1,V0,M1} R(9,61) { sdtpldt0( sz00, xn ) ==>
% 29.51/29.85 xn }.
% 29.51/29.85 parent0: (48379) {G1,W5,D3,L1,V0,M1} { sdtpldt0( sz00, xn ) ==> xn }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48380) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 29.51/29.85 aNaturalNumber0( X ) }.
% 29.51/29.85 parent0[1]: (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 29.51/29.85 sz00, X ) ==> sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 resolution: (48381) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, skol3 )
% 29.51/29.85 }.
% 29.51/29.85 parent0[1]: (48380) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 29.51/29.85 aNaturalNumber0( X ) }.
% 29.51/29.85 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := skol3
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48382) {G1,W5,D3,L1,V0,M1} { sdtasdt0( sz00, skol3 ) ==> sz00 }.
% 29.51/29.85 parent0[0]: (48381) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, skol3 )
% 29.51/29.85 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (505) {G1,W5,D3,L1,V0,M1} R(15,62) { sdtasdt0( sz00, skol3 )
% 29.51/29.85 ==> sz00 }.
% 29.51/29.85 parent0: (48382) {G1,W5,D3,L1,V0,M1} { sdtasdt0( sz00, skol3 ) ==> sz00
% 29.51/29.85 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48383) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 29.51/29.85 aNaturalNumber0( X ) }.
% 29.51/29.85 parent0[1]: (15) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 29.51/29.85 sz00, X ) ==> sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 resolution: (48384) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, skol4 )
% 29.51/29.85 }.
% 29.51/29.85 parent0[1]: (48383) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 29.51/29.85 aNaturalNumber0( X ) }.
% 29.51/29.85 parent1[0]: (65) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol4 ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := skol4
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48385) {G1,W5,D3,L1,V0,M1} { sdtasdt0( sz00, skol4 ) ==> sz00 }.
% 29.51/29.85 parent0[0]: (48384) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, skol4 )
% 29.51/29.85 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (506) {G1,W5,D3,L1,V0,M1} R(15,65) { sdtasdt0( sz00, skol4 )
% 29.51/29.85 ==> sz00 }.
% 29.51/29.85 parent0: (48385) {G1,W5,D3,L1,V0,M1} { sdtasdt0( sz00, skol4 ) ==> sz00
% 29.51/29.85 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48386) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X ), !
% 29.51/29.85 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.51/29.85 sdtasdt0( X, Z ), Y = Z }.
% 29.51/29.85 parent0[1]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 29.51/29.85 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.51/29.85 sdtasdt0( X, Z ), Y = Z }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 Y := Y
% 29.51/29.85 Z := Z
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 resolution: (48391) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 29.51/29.85 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xl ), Y =
% 29.51/29.85 xl }.
% 29.51/29.85 parent0[3]: (48386) {G0,W19,D3,L6,V3,M6} { sz00 = X, ! aNaturalNumber0( X
% 29.51/29.85 ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 29.51/29.85 sdtasdt0( X, Z ), Y = Z }.
% 29.51/29.85 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 Y := Y
% 29.51/29.85 Z := xl
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48394) {G1,W17,D3,L5,V2,M5} { xl = X, sz00 = Y, ! aNaturalNumber0
% 29.51/29.85 ( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) = sdtasdt0( Y, xl ) }.
% 29.51/29.85 parent0[4]: (48391) {G1,W17,D3,L5,V2,M5} { sz00 = X, ! aNaturalNumber0( X
% 29.51/29.85 ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xl ), Y =
% 29.51/29.85 xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := Y
% 29.51/29.85 Y := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48395) {G1,W17,D3,L5,V2,M5} { X = sz00, xl = Y, ! aNaturalNumber0
% 29.51/29.85 ( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sdtasdt0( X, xl ) }.
% 29.51/29.85 parent0[1]: (48394) {G1,W17,D3,L5,V2,M5} { xl = X, sz00 = Y, !
% 29.51/29.85 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! sdtasdt0( Y, X ) =
% 29.51/29.85 sdtasdt0( Y, xl ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := Y
% 29.51/29.85 Y := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48396) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xl ) = sdtasdt0( X,
% 29.51/29.85 Y ), X = sz00, xl = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ) }.
% 29.51/29.85 parent0[4]: (48395) {G1,W17,D3,L5,V2,M5} { X = sz00, xl = Y, !
% 29.51/29.85 aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) =
% 29.51/29.85 sdtasdt0( X, xl ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 Y := Y
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (1046) {G1,W17,D3,L5,V2,M5} R(20,59) { ! aNaturalNumber0( X )
% 29.51/29.85 , X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xl ) = sdtasdt0( X, Y
% 29.51/29.85 ), xl = Y }.
% 29.51/29.85 parent0: (48396) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, xl ) = sdtasdt0( X
% 29.51/29.85 , Y ), X = sz00, xl = Y, ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 29.51/29.85 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 Y := Y
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 3
% 29.51/29.85 1 ==> 1
% 29.51/29.85 2 ==> 4
% 29.51/29.85 3 ==> 0
% 29.51/29.85 4 ==> 2
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48417) {G1,W17,D3,L5,V2,M5} { X = xl, ! aNaturalNumber0( Y ), Y =
% 29.51/29.85 sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xl ) = sdtasdt0( Y, X ) }.
% 29.51/29.85 parent0[4]: (1046) {G1,W17,D3,L5,V2,M5} R(20,59) { ! aNaturalNumber0( X ),
% 29.51/29.85 X = sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, xl ) = sdtasdt0( X, Y )
% 29.51/29.85 , xl = Y }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := Y
% 29.51/29.85 Y := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48419) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) = sdtasdt0( X,
% 29.51/29.85 xl ), Y = xl, ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y )
% 29.51/29.85 }.
% 29.51/29.85 parent0[4]: (48417) {G1,W17,D3,L5,V2,M5} { X = xl, ! aNaturalNumber0( Y )
% 29.51/29.85 , Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xl ) = sdtasdt0( Y, X
% 29.51/29.85 ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := Y
% 29.51/29.85 Y := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqfact: (48500) {G0,W17,D3,L5,V1,M5} { ! xl = sz00, ! sdtasdt0( X, X ) =
% 29.51/29.85 sdtasdt0( X, xl ), ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( X
% 29.51/29.85 ) }.
% 29.51/29.85 parent0[1, 3]: (48419) {G1,W17,D3,L5,V2,M5} { ! sdtasdt0( X, Y ) =
% 29.51/29.85 sdtasdt0( X, xl ), Y = xl, ! aNaturalNumber0( X ), X = sz00, !
% 29.51/29.85 aNaturalNumber0( Y ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 Y := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 factor: (48503) {G0,W15,D3,L4,V1,M4} { ! xl = sz00, ! sdtasdt0( X, X ) =
% 29.51/29.85 sdtasdt0( X, xl ), ! aNaturalNumber0( X ), X = sz00 }.
% 29.51/29.85 parent0[2, 4]: (48500) {G0,W17,D3,L5,V1,M5} { ! xl = sz00, ! sdtasdt0( X,
% 29.51/29.85 X ) = sdtasdt0( X, xl ), ! aNaturalNumber0( X ), X = sz00, !
% 29.51/29.85 aNaturalNumber0( X ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48505) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xl ) = sdtasdt0( X,
% 29.51/29.85 X ), ! xl = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 29.51/29.85 parent0[1]: (48503) {G0,W15,D3,L4,V1,M4} { ! xl = sz00, ! sdtasdt0( X, X )
% 29.51/29.85 = sdtasdt0( X, xl ), ! aNaturalNumber0( X ), X = sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (1183) {G2,W15,D3,L4,V1,M4} E(1046);f { ! xl ==> sz00, !
% 29.51/29.85 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xl ) = sdtasdt0( X, X )
% 29.51/29.85 }.
% 29.51/29.85 parent0: (48505) {G0,W15,D3,L4,V1,M4} { ! sdtasdt0( X, xl ) = sdtasdt0( X
% 29.51/29.85 , X ), ! xl = sz00, ! aNaturalNumber0( X ), X = sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 3
% 29.51/29.85 1 ==> 0
% 29.51/29.85 2 ==> 1
% 29.51/29.85 3 ==> 2
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48532) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xl, ! aNaturalNumber0( X
% 29.51/29.85 ), X = sz00, ! sdtasdt0( X, xl ) = sdtasdt0( X, X ) }.
% 29.51/29.85 parent0[0]: (1183) {G2,W15,D3,L4,V1,M4} E(1046);f { ! xl ==> sz00, !
% 29.51/29.85 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xl ) = sdtasdt0( X, X )
% 29.51/29.85 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := X
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqrefl: (48539) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xl, ! aNaturalNumber0( xl
% 29.51/29.85 ), xl = sz00 }.
% 29.51/29.85 parent0[3]: (48532) {G2,W15,D3,L4,V1,M4} { ! sz00 ==> xl, !
% 29.51/29.85 aNaturalNumber0( X ), X = sz00, ! sdtasdt0( X, xl ) = sdtasdt0( X, X )
% 29.51/29.85 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 X := xl
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 resolution: (48540) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xl = sz00 }.
% 29.51/29.85 parent0[1]: (48539) {G0,W8,D2,L3,V0,M3} { ! sz00 ==> xl, ! aNaturalNumber0
% 29.51/29.85 ( xl ), xl = sz00 }.
% 29.51/29.85 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48541) {G1,W6,D2,L2,V0,M2} { ! xl ==> sz00, xl = sz00 }.
% 29.51/29.85 parent0[0]: (48540) {G1,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xl = sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (1186) {G3,W6,D2,L2,V0,M2} Q(1183);r(59) { ! xl ==> sz00, xl
% 29.51/29.85 ==> sz00 }.
% 29.51/29.85 parent0: (48541) {G1,W6,D2,L2,V0,M2} { ! xl ==> sz00, xl = sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 1 ==> 1
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48544) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xl ==> sz00 }.
% 29.51/29.85 parent0[0]: (1186) {G3,W6,D2,L2,V0,M2} Q(1183);r(59) { ! xl ==> sz00, xl
% 29.51/29.85 ==> sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48547) {G0,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xl, skol3 ) }.
% 29.51/29.85 parent0[0]: (63) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, skol3 ) ==> xm }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 paramod: (48549) {G1,W8,D3,L2,V0,M2} { xm ==> sdtasdt0( sz00, skol3 ), !
% 29.51/29.85 sz00 ==> xl }.
% 29.51/29.85 parent0[1]: (48544) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xl ==> sz00 }.
% 29.51/29.85 parent1[0; 3]: (48547) {G0,W5,D3,L1,V0,M1} { xm ==> sdtasdt0( xl, skol3 )
% 29.51/29.85 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 paramod: (48560) {G2,W6,D2,L2,V0,M2} { xm ==> sz00, ! sz00 ==> xl }.
% 29.51/29.85 parent0[0]: (505) {G1,W5,D3,L1,V0,M1} R(15,62) { sdtasdt0( sz00, skol3 )
% 29.51/29.85 ==> sz00 }.
% 29.51/29.85 parent1[0; 2]: (48549) {G1,W8,D3,L2,V0,M2} { xm ==> sdtasdt0( sz00, skol3
% 29.51/29.85 ), ! sz00 ==> xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48562) {G2,W6,D2,L2,V0,M2} { ! xl ==> sz00, xm ==> sz00 }.
% 29.51/29.85 parent0[1]: (48560) {G2,W6,D2,L2,V0,M2} { xm ==> sz00, ! sz00 ==> xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (1211) {G4,W6,D2,L2,V0,M2} P(1186,63);d(505) { ! xl ==> sz00,
% 29.51/29.85 xm ==> sz00 }.
% 29.51/29.85 parent0: (48562) {G2,W6,D2,L2,V0,M2} { ! xl ==> sz00, xm ==> sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 1 ==> 1
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48564) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xl ==> sz00 }.
% 29.51/29.85 parent0[0]: (1186) {G3,W6,D2,L2,V0,M2} Q(1183);r(59) { ! xl ==> sz00, xl
% 29.51/29.85 ==> sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48567) {G0,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xl, skol4 ) }.
% 29.51/29.85 parent0[0]: (66) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xl, skol4 ) ==> xn }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 paramod: (48569) {G1,W8,D3,L2,V0,M2} { xn ==> sdtasdt0( sz00, skol4 ), !
% 29.51/29.85 sz00 ==> xl }.
% 29.51/29.85 parent0[1]: (48564) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xl ==> sz00 }.
% 29.51/29.85 parent1[0; 3]: (48567) {G0,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xl, skol4 )
% 29.51/29.85 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 paramod: (48580) {G2,W6,D2,L2,V0,M2} { xn ==> sz00, ! sz00 ==> xl }.
% 29.51/29.85 parent0[0]: (506) {G1,W5,D3,L1,V0,M1} R(15,65) { sdtasdt0( sz00, skol4 )
% 29.51/29.85 ==> sz00 }.
% 29.51/29.85 parent1[0; 2]: (48569) {G1,W8,D3,L2,V0,M2} { xn ==> sdtasdt0( sz00, skol4
% 29.51/29.85 ), ! sz00 ==> xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48582) {G2,W6,D2,L2,V0,M2} { ! xl ==> sz00, xn ==> sz00 }.
% 29.51/29.85 parent0[1]: (48580) {G2,W6,D2,L2,V0,M2} { xn ==> sz00, ! sz00 ==> xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 subsumption: (1212) {G4,W6,D2,L2,V0,M2} P(1186,66);d(506) { ! xl ==> sz00,
% 29.51/29.85 xn ==> sz00 }.
% 29.51/29.85 parent0: (48582) {G2,W6,D2,L2,V0,M2} { ! xl ==> sz00, xn ==> sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 permutation0:
% 29.51/29.85 0 ==> 0
% 29.51/29.85 1 ==> 1
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48584) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xl ==> sz00 }.
% 29.51/29.85 parent0[0]: (1186) {G3,W6,D2,L2,V0,M2} Q(1183);r(59) { ! xl ==> sz00, xl
% 29.51/29.85 ==> sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48587) {G4,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xm ==> sz00 }.
% 29.51/29.85 parent0[0]: (1211) {G4,W6,D2,L2,V0,M2} P(1186,63);d(505) { ! xl ==> sz00,
% 29.51/29.85 xm ==> sz00 }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 paramod: (48594) {G1,W8,D3,L2,V0,M2} { ! doDivides0( sz00, sdtpldt0( xm,
% 29.51/29.85 xn ) ), ! sz00 ==> xl }.
% 29.51/29.85 parent0[1]: (48584) {G3,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xl ==> sz00 }.
% 29.51/29.85 parent1[0; 2]: (78) {G0,W5,D3,L1,V0,M1} I { ! doDivides0( xl, sdtpldt0( xm
% 29.51/29.85 , xn ) ) }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 paramod: (48605) {G2,W11,D3,L3,V0,M3} { ! doDivides0( sz00, sdtpldt0( sz00
% 29.51/29.85 , xn ) ), ! sz00 ==> xl, ! sz00 ==> xl }.
% 29.51/29.85 parent0[1]: (48587) {G4,W6,D2,L2,V0,M2} { ! sz00 ==> xl, xm ==> sz00 }.
% 29.51/29.85 parent1[0; 4]: (48594) {G1,W8,D3,L2,V0,M2} { ! doDivides0( sz00, sdtpldt0
% 29.51/29.85 ( xm, xn ) ), ! sz00 ==> xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 factor: (48606) {G2,W8,D3,L2,V0,M2} { ! doDivides0( sz00, sdtpldt0( sz00,
% 29.51/29.85 xn ) ), ! sz00 ==> xl }.
% 29.51/29.85 parent0[1, 2]: (48605) {G2,W11,D3,L3,V0,M3} { ! doDivides0( sz00, sdtpldt0
% 29.51/29.85 ( sz00, xn ) ), ! sz00 ==> xl, ! sz00 ==> xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 paramod: (48607) {G2,W6,D2,L2,V0,M2} { ! doDivides0( sz00, xn ), ! sz00
% 29.51/29.85 ==> xl }.
% 29.51/29.85 parent0[0]: (348) {G1,W5,D3,L1,V0,M1} R(9,61) { sdtpldt0( sz00, xn ) ==> xn
% 29.51/29.85 }.
% 29.51/29.85 parent1[0; 3]: (48606) {G2,W8,D3,L2,V0,M2} { ! doDivides0( sz00, sdtpldt0
% 29.51/29.85 ( sz00, xn ) ), ! sz00 ==> xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 paramod: (48610) {G3,W9,D2,L3,V0,M3} { ! doDivides0( sz00, sz00 ), ! xl
% 29.51/29.85 ==> sz00, ! sz00 ==> xl }.
% 29.51/29.85 parent0[1]: (1212) {G4,W6,D2,L2,V0,M2} P(1186,66);d(506) { ! xl ==> sz00,
% 29.51/29.85 xn ==> sz00 }.
% 29.51/29.85 parent1[0; 3]: (48607) {G2,W6,D2,L2,V0,M2} { ! doDivides0( sz00, xn ), !
% 29.51/29.85 sz00 ==> xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85 substitution1:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 eqswap: (48612) {G3,W9,D2,L3,V0,M3} { ! xl ==> sz00, ! doDivides0( sz00,
% 29.51/29.85 sz00 ), ! xl ==> sz00 }.
% 29.51/29.85 parent0[2]: (48610) {G3,W9,D2,L3,V0,M3} { ! doDivides0( sz00, sz00 ), ! xl
% 29.51/29.85 ==> sz00, ! sz00 ==> xl }.
% 29.51/29.85 substitution0:
% 29.51/29.85 end
% 29.51/29.85
% 29.51/29.85 factor: (48614) {G3,W6,D2,L2,V0,M2} { ! xl ==> sz00, ! doDivides0( sz00,
% 29.51/29.85 sz00 ) }.
% 29.51/29.85 parent0[0, 2]: (48612) {Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------