TSTP Solution File: NUM465+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM465+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 06:22:33 EDT 2022
% Result : Theorem 27.66s 28.04s
% Output : Refutation 27.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM465+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jul 6 00:27:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.00/1.42 *** allocated 10000 integers for termspace/termends
% 1.00/1.42 *** allocated 10000 integers for clauses
% 1.00/1.42 *** allocated 10000 integers for justifications
% 1.00/1.42 Bliksem 1.12
% 1.00/1.42
% 1.00/1.42
% 1.00/1.42 Automatic Strategy Selection
% 1.00/1.42
% 1.00/1.42
% 1.00/1.42 Clauses:
% 1.00/1.42
% 1.00/1.42 { && }.
% 1.00/1.42 { aNaturalNumber0( sz00 ) }.
% 1.00/1.42 { aNaturalNumber0( sz10 ) }.
% 1.00/1.42 { ! sz10 = sz00 }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 1.00/1.42 ( X, Y ) ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 1.00/1.42 ( X, Y ) ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 1.00/1.42 sdtpldt0( Y, X ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.00/1.42 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 1.00/1.42 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 1.00/1.42 sdtasdt0( Y, X ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.00/1.42 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 1.00/1.42 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 1.00/1.42 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.00/1.42 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 1.00/1.42 , Z ) ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.00/1.42 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 1.00/1.42 , X ) ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.00/1.42 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.00/1.42 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 1.00/1.42 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 1.00/1.42 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 1.00/1.42 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 1.00/1.42 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 1.00/1.42 , X = sz00 }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 1.00/1.42 , Y = sz00 }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 1.00/1.42 , X = sz00, Y = sz00 }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 1.00/1.42 aNaturalNumber0( skol1( Z, T ) ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 1.00/1.42 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.00/1.42 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 1.00/1.42 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 1.00/1.42 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 1.00/1.42 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 1.00/1.42 sdtlseqdt0( Y, X ), X = Y }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.00/1.42 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 1.00/1.42 X }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 1.00/1.42 sdtlseqdt0( Y, X ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.00/1.42 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 1.00/1.42 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.00/1.42 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 1.00/1.42 ) ) }.
% 1.00/1.42 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 1.00/1.42 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 1.00/1.42 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 27.66/28.04 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 27.66/28.04 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 27.66/28.04 ) }.
% 27.66/28.04 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 27.66/28.04 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 27.66/28.04 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 27.66/28.04 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 27.66/28.04 sdtasdt0( Z, X ) ) }.
% 27.66/28.04 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 27.66/28.04 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 27.66/28.04 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 27.66/28.04 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 27.66/28.04 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 27.66/28.04 ) }.
% 27.66/28.04 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 27.66/28.04 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 27.66/28.04 { aNaturalNumber0( xm ) }.
% 27.66/28.04 { aNaturalNumber0( xn ) }.
% 27.66/28.04 { xm = sz00, aNaturalNumber0( skol2 ) }.
% 27.66/28.04 { xm = sz00, sdtpldt0( sz10, skol2 ) = xm }.
% 27.66/28.04 { xm = sz00, sdtlseqdt0( sz10, xm ) }.
% 27.66/28.04 { ! xm = sz00 }.
% 27.66/28.04 { ! aNaturalNumber0( X ), ! sdtpldt0( xn, X ) = sdtasdt0( xn, xm ) }.
% 27.66/28.04 { ! sdtlseqdt0( xn, sdtasdt0( xn, xm ) ) }.
% 27.66/28.04
% 27.66/28.04 percentage equality = 0.328205, percentage horn = 0.741379
% 27.66/28.04 This is a problem with some equality
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Options Used:
% 27.66/28.04
% 27.66/28.04 useres = 1
% 27.66/28.04 useparamod = 1
% 27.66/28.04 useeqrefl = 1
% 27.66/28.04 useeqfact = 1
% 27.66/28.04 usefactor = 1
% 27.66/28.04 usesimpsplitting = 0
% 27.66/28.04 usesimpdemod = 5
% 27.66/28.04 usesimpres = 3
% 27.66/28.04
% 27.66/28.04 resimpinuse = 1000
% 27.66/28.04 resimpclauses = 20000
% 27.66/28.04 substype = eqrewr
% 27.66/28.04 backwardsubs = 1
% 27.66/28.04 selectoldest = 5
% 27.66/28.04
% 27.66/28.04 litorderings [0] = split
% 27.66/28.04 litorderings [1] = extend the termordering, first sorting on arguments
% 27.66/28.04
% 27.66/28.04 termordering = kbo
% 27.66/28.04
% 27.66/28.04 litapriori = 0
% 27.66/28.04 termapriori = 1
% 27.66/28.04 litaposteriori = 0
% 27.66/28.04 termaposteriori = 0
% 27.66/28.04 demodaposteriori = 0
% 27.66/28.04 ordereqreflfact = 0
% 27.66/28.04
% 27.66/28.04 litselect = negord
% 27.66/28.04
% 27.66/28.04 maxweight = 15
% 27.66/28.04 maxdepth = 30000
% 27.66/28.04 maxlength = 115
% 27.66/28.04 maxnrvars = 195
% 27.66/28.04 excuselevel = 1
% 27.66/28.04 increasemaxweight = 1
% 27.66/28.04
% 27.66/28.04 maxselected = 10000000
% 27.66/28.04 maxnrclauses = 10000000
% 27.66/28.04
% 27.66/28.04 showgenerated = 0
% 27.66/28.04 showkept = 0
% 27.66/28.04 showselected = 0
% 27.66/28.04 showdeleted = 0
% 27.66/28.04 showresimp = 1
% 27.66/28.04 showstatus = 2000
% 27.66/28.04
% 27.66/28.04 prologoutput = 0
% 27.66/28.04 nrgoals = 5000000
% 27.66/28.04 totalproof = 1
% 27.66/28.04
% 27.66/28.04 Symbols occurring in the translation:
% 27.66/28.04
% 27.66/28.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 27.66/28.04 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 27.66/28.04 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 27.66/28.04 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 27.66/28.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.66/28.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.66/28.04 aNaturalNumber0 [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 27.66/28.04 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 27.66/28.04 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 27.66/28.04 sdtpldt0 [40, 2] (w:1, o:44, a:1, s:1, b:0),
% 27.66/28.04 sdtasdt0 [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 27.66/28.04 sdtlseqdt0 [43, 2] (w:1, o:46, a:1, s:1, b:0),
% 27.66/28.04 sdtmndt0 [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 27.66/28.04 xm [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 27.66/28.04 xn [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 27.66/28.04 alpha1 [47, 3] (w:1, o:49, a:1, s:1, b:1),
% 27.66/28.04 alpha2 [48, 3] (w:1, o:50, a:1, s:1, b:1),
% 27.66/28.04 skol1 [49, 2] (w:1, o:48, a:1, s:1, b:1),
% 27.66/28.04 skol2 [50, 0] (w:1, o:13, a:1, s:1, b:1).
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Starting Search:
% 27.66/28.04
% 27.66/28.04 *** allocated 15000 integers for clauses
% 27.66/28.04 *** allocated 22500 integers for clauses
% 27.66/28.04 *** allocated 33750 integers for clauses
% 27.66/28.04 *** allocated 50625 integers for clauses
% 27.66/28.04 *** allocated 15000 integers for termspace/termends
% 27.66/28.04 *** allocated 75937 integers for clauses
% 27.66/28.04 *** allocated 22500 integers for termspace/termends
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 113905 integers for clauses
% 27.66/28.04 *** allocated 33750 integers for termspace/termends
% 27.66/28.04 *** allocated 170857 integers for clauses
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 10452
% 27.66/28.04 Kept: 2059
% 27.66/28.04 Inuse: 107
% 27.66/28.04 Deleted: 7
% 27.66/28.04 Deletedinuse: 5
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 50625 integers for termspace/termends
% 27.66/28.04 *** allocated 256285 integers for clauses
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 75937 integers for termspace/termends
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 22261
% 27.66/28.04 Kept: 4065
% 27.66/28.04 Inuse: 161
% 27.66/28.04 Deleted: 10
% 27.66/28.04 Deletedinuse: 6
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 113905 integers for termspace/termends
% 27.66/28.04 *** allocated 384427 integers for clauses
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 45039
% 27.66/28.04 Kept: 6093
% 27.66/28.04 Inuse: 204
% 27.66/28.04 Deleted: 19
% 27.66/28.04 Deletedinuse: 8
% 27.66/28.04
% 27.66/28.04 *** allocated 170857 integers for termspace/termends
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 576640 integers for clauses
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 62761
% 27.66/28.04 Kept: 8115
% 27.66/28.04 Inuse: 255
% 27.66/28.04 Deleted: 26
% 27.66/28.04 Deletedinuse: 13
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 84357
% 27.66/28.04 Kept: 10140
% 27.66/28.04 Inuse: 317
% 27.66/28.04 Deleted: 29
% 27.66/28.04 Deletedinuse: 13
% 27.66/28.04
% 27.66/28.04 *** allocated 256285 integers for termspace/termends
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 864960 integers for clauses
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 113403
% 27.66/28.04 Kept: 12171
% 27.66/28.04 Inuse: 371
% 27.66/28.04 Deleted: 51
% 27.66/28.04 Deletedinuse: 16
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 137813
% 27.66/28.04 Kept: 14327
% 27.66/28.04 Inuse: 425
% 27.66/28.04 Deleted: 64
% 27.66/28.04 Deletedinuse: 18
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 1297440 integers for clauses
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 187495
% 27.66/28.04 Kept: 16347
% 27.66/28.04 Inuse: 480
% 27.66/28.04 Deleted: 68
% 27.66/28.04 Deletedinuse: 18
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 384427 integers for termspace/termends
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 238031
% 27.66/28.04 Kept: 18377
% 27.66/28.04 Inuse: 540
% 27.66/28.04 Deleted: 84
% 27.66/28.04 Deletedinuse: 20
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 266099
% 27.66/28.04 Kept: 21891
% 27.66/28.04 Inuse: 580
% 27.66/28.04 Deleted: 91
% 27.66/28.04 Deletedinuse: 20
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 Resimplifying clauses:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 1946160 integers for clauses
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 277775
% 27.66/28.04 Kept: 23898
% 27.66/28.04 Inuse: 612
% 27.66/28.04 Deleted: 2706
% 27.66/28.04 Deletedinuse: 46
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 280795
% 27.66/28.04 Kept: 26151
% 27.66/28.04 Inuse: 614
% 27.66/28.04 Deleted: 2706
% 27.66/28.04 Deletedinuse: 46
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 576640 integers for termspace/termends
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 284531
% 27.66/28.04 Kept: 28447
% 27.66/28.04 Inuse: 619
% 27.66/28.04 Deleted: 2706
% 27.66/28.04 Deletedinuse: 46
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 288490
% 27.66/28.04 Kept: 30723
% 27.66/28.04 Inuse: 624
% 27.66/28.04 Deleted: 2706
% 27.66/28.04 Deletedinuse: 46
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 292460
% 27.66/28.04 Kept: 33024
% 27.66/28.04 Inuse: 629
% 27.66/28.04 Deleted: 2706
% 27.66/28.04 Deletedinuse: 46
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Intermediate Status:
% 27.66/28.04 Generated: 295903
% 27.66/28.04 Kept: 35197
% 27.66/28.04 Inuse: 633
% 27.66/28.04 Deleted: 2707
% 27.66/28.04 Deletedinuse: 46
% 27.66/28.04
% 27.66/28.04 Resimplifying inuse:
% 27.66/28.04 Done
% 27.66/28.04
% 27.66/28.04 *** allocated 2919240 integers for clauses
% 27.66/28.04
% 27.66/28.04 Bliksems!, er is een bewijs:
% 27.66/28.04 % SZS status Theorem
% 27.66/28.04 % SZS output start Refutation
% 27.66/28.04
% 27.66/28.04 (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 27.66/28.04 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 27.66/28.04 (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.66/28.04 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.66/28.04 (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 27.66/28.04 ==> X }.
% 27.66/28.04 (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( sz10, X )
% 27.66/28.04 ==> X }.
% 27.66/28.04 (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 27.66/28.04 ==> sz00 }.
% 27.66/28.04 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 27.66/28.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 27.66/28.04 sdtasdt0( X, Z ), Y = Z }.
% 27.66/28.04 (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 27.66/28.04 (33) {G0,W15,D2,L6,V3,M6} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.66/28.04 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 27.66/28.04 sdtlseqdt0( X, Z ) }.
% 27.66/28.04 (43) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.66/28.04 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 27.66/28.04 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.66/28.04 (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 27.66/28.04 sz10 = X }.
% 27.66/28.04 (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.66/28.04 (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.66/28.04 (54) {G0,W6,D2,L2,V0,M2} I { xm ==> sz00, sdtlseqdt0( sz10, xm ) }.
% 27.66/28.04 (55) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 27.66/28.04 (57) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn, xm ) ) }.
% 27.66/28.04 (78) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X = sz00, !
% 27.66/28.04 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 27.66/28.04 (145) {G1,W3,D2,L1,V0,M1} R(31,1) { sdtlseqdt0( sz00, sz00 ) }.
% 27.66/28.04 (148) {G1,W3,D2,L1,V0,M1} R(31,51) { sdtlseqdt0( xn, xn ) }.
% 27.66/28.04 (211) {G1,W3,D2,L1,V0,M1} S(54);r(55) { sdtlseqdt0( sz10, xm ) }.
% 27.66/28.04 (355) {G1,W7,D3,L2,V0,M2} P(10,57);r(51) { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 27.66/28.04 xn ) ), ! aNaturalNumber0( xm ) }.
% 27.66/28.04 (489) {G1,W5,D3,L1,V0,M1} R(12,51) { sdtasdt0( xn, sz10 ) ==> xn }.
% 27.66/28.04 (520) {G1,W5,D3,L1,V0,M1} R(14,50) { sdtasdt0( xm, sz00 ) ==> sz00 }.
% 27.66/28.04 (5401) {G2,W15,D3,L5,V1,M5} R(43,211);d(13);r(2) { ! aNaturalNumber0( X ),
% 27.66/28.04 ! aNaturalNumber0( xm ), X = sz00, xm ==> sz10, sdtlseqdt0( X, sdtasdt0(
% 27.66/28.04 xm, X ) ) }.
% 27.66/28.04 (6693) {G1,W9,D2,L3,V0,M3} R(48,50) { xm ==> sz00, xm ==> sz10, ! xm ==>
% 27.66/28.04 sz10 }.
% 27.66/28.04 (6770) {G2,W8,D2,L3,V0,M3} P(48,57);d(489);d(6693);r(148) { xm ==> sz00, !
% 27.66/28.04 xm ==> sz10, ! aNaturalNumber0( sz10 ) }.
% 27.66/28.04 (22509) {G3,W3,D2,L1,V0,M1} S(6770);r(55);r(2) { ! xm ==> sz10 }.
% 27.66/28.04 (22511) {G4,W10,D3,L3,V1,M3} S(5401);r(50);r(22509) { ! aNaturalNumber0( X
% 27.66/28.04 ), X = sz00, sdtlseqdt0( X, sdtasdt0( xm, X ) ) }.
% 27.66/28.04 (22747) {G2,W5,D3,L1,V0,M1} S(355);r(50) { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 27.66/28.04 xn ) ) }.
% 27.66/28.04 (36142) {G3,W14,D3,L4,V1,M4} R(22747,33);r(51) { ! aNaturalNumber0( X ), !
% 27.66/28.04 aNaturalNumber0( sdtasdt0( xm, xn ) ), ! sdtlseqdt0( xn, X ), !
% 27.66/28.04 sdtlseqdt0( X, sdtasdt0( xm, xn ) ) }.
% 27.66/28.04 (36154) {G5,W14,D3,L4,V1,M4} P(78,22747);r(22511) { ! aNaturalNumber0( X )
% 27.66/28.04 , X = sz00, ! aNaturalNumber0( xn ), ! sdtasdt0( X, X ) = sdtasdt0( X, xn
% 27.66/28.04 ) }.
% 27.66/28.04 (36168) {G6,W3,D2,L1,V0,M1} F(36154);q;r(51) { xn ==> sz00 }.
% 27.66/28.04 (36169) {G7,W3,D2,L1,V0,M1} F(36142);d(36168);d(36168);d(36168);d(520);d(
% 27.66/28.04 520);d(520);f;r(1) { ! sdtlseqdt0( sz00, sz00 ) }.
% 27.66/28.04 (36170) {G8,W0,D0,L0,V0,M0} S(36169);r(145) { }.
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 % SZS output end Refutation
% 27.66/28.04 found a proof!
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Unprocessed initial clauses:
% 27.66/28.04
% 27.66/28.04 (36172) {G0,W1,D1,L1,V0,M1} { && }.
% 27.66/28.04 (36173) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 27.66/28.04 (36174) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 27.66/28.04 (36175) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 27.66/28.04 (36176) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.66/28.04 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.66/28.04 (36177) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.66/28.04 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.66/28.04 (36178) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.66/28.04 (36179) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 27.66/28.04 X, sdtpldt0( Y, Z ) ) }.
% 27.66/28.04 (36180) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 27.66/28.04 = X }.
% 27.66/28.04 (36181) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 27.66/28.04 X ) }.
% 27.66/28.04 (36182) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.66/28.04 (36183) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 27.66/28.04 X, sdtasdt0( Y, Z ) ) }.
% 27.66/28.04 (36184) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 27.66/28.04 = X }.
% 27.66/28.04 (36185) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 27.66/28.04 X ) }.
% 27.66/28.04 (36186) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 27.66/28.04 = sz00 }.
% 27.66/28.04 (36187) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 27.66/28.04 sz00, X ) }.
% 27.66/28.04 (36188) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 27.66/28.04 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 27.66/28.04 (36189) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 27.66/28.04 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.66/28.04 (36190) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 27.66/28.04 }.
% 27.66/28.04 (36191) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 27.66/28.04 }.
% 27.66/28.04 (36192) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 27.66/28.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 27.66/28.04 sdtasdt0( X, Z ), Y = Z }.
% 27.66/28.04 (36193) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 27.66/28.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 27.66/28.04 sdtasdt0( Z, X ), Y = Z }.
% 27.66/28.04 (36194) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 27.66/28.04 (36195) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 27.66/28.04 (36196) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 27.66/28.04 (36197) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 27.66/28.04 (36198) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 27.66/28.04 (36199) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 27.66/28.04 }.
% 27.66/28.04 (36200) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 27.66/28.04 }.
% 27.66/28.04 (36201) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 27.66/28.04 }.
% 27.66/28.04 (36202) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 27.66/28.04 , Z = sdtmndt0( Y, X ) }.
% 27.66/28.04 (36203) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 27.66/28.04 }.
% 27.66/28.04 (36204) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 27.66/28.04 (36205) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 27.66/28.04 sdtlseqdt0( X, Z ) }.
% 27.66/28.04 (36206) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 27.66/28.04 (36207) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 27.66/28.04 (36208) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 27.66/28.04 ) }.
% 27.66/28.04 (36209) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 27.66/28.04 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 27.66/28.04 (36210) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 27.66/28.04 sdtpldt0( Z, Y ) }.
% 27.66/28.04 (36211) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 27.66/28.04 Z, X ), sdtpldt0( Z, Y ) ) }.
% 27.66/28.04 (36212) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 27.66/28.04 sdtpldt0( Y, Z ) }.
% 27.66/28.04 (36213) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 27.66/28.04 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 27.66/28.04 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 27.66/28.04 (36214) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 27.66/28.04 alpha2( X, Y, Z ) }.
% 27.66/28.04 (36215) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.66/28.04 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 27.66/28.04 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.66/28.04 (36216) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 27.66/28.04 sdtasdt0( X, Z ) }.
% 27.66/28.04 (36217) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 27.66/28.04 X, Y ), sdtasdt0( X, Z ) ) }.
% 27.66/28.04 (36218) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 27.66/28.04 sdtasdt0( Z, X ) }.
% 27.66/28.04 (36219) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 27.66/28.04 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 27.66/28.04 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 27.66/28.04 (36220) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.66/28.04 , ! sz10 = X }.
% 27.66/28.04 (36221) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 27.66/28.04 , sdtlseqdt0( sz10, X ) }.
% 27.66/28.04 (36222) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 27.66/28.04 (36223) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 27.66/28.04 (36224) {G0,W5,D2,L2,V0,M2} { xm = sz00, aNaturalNumber0( skol2 ) }.
% 27.66/28.04 (36225) {G0,W8,D3,L2,V0,M2} { xm = sz00, sdtpldt0( sz10, skol2 ) = xm }.
% 27.66/28.04 (36226) {G0,W6,D2,L2,V0,M2} { xm = sz00, sdtlseqdt0( sz10, xm ) }.
% 27.66/28.04 (36227) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 27.66/28.04 (36228) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xn, X )
% 27.66/28.04 = sdtasdt0( xn, xm ) }.
% 27.66/28.04 (36229) {G0,W5,D3,L1,V0,M1} { ! sdtlseqdt0( xn, sdtasdt0( xn, xm ) ) }.
% 27.66/28.04
% 27.66/28.04
% 27.66/28.04 Total Proof:
% 27.66/28.04
% 27.66/28.04 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 27.66/28.04 parent0: (36173) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 27.66/28.04 substitution0:
% 27.66/28.04 end
% 27.66/28.04 permutation0:
% 27.66/28.04 0 ==> 0
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 27.66/28.04 parent0: (36174) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 27.66/28.04 substitution0:
% 27.66/28.04 end
% 27.66/28.04 permutation0:
% 27.66/28.04 0 ==> 0
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 subsumption: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.66/28.04 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.66/28.04 parent0: (36182) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 27.66/28.04 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.66/28.04 substitution0:
% 27.66/28.04 X := X
% 27.66/28.04 Y := Y
% 27.66/28.04 end
% 27.66/28.04 permutation0:
% 27.66/28.04 0 ==> 0
% 27.66/28.04 1 ==> 1
% 27.66/28.04 2 ==> 2
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 subsumption: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 27.66/28.04 ( X, sz10 ) ==> X }.
% 27.66/28.04 parent0: (36184) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X
% 27.66/28.04 , sz10 ) = X }.
% 27.66/28.04 substitution0:
% 27.66/28.04 X := X
% 27.66/28.04 end
% 27.66/28.04 permutation0:
% 27.66/28.04 0 ==> 0
% 27.66/28.04 1 ==> 1
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 eqswap: (36298) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 27.66/28.04 aNaturalNumber0( X ) }.
% 27.66/28.04 parent0[1]: (36185) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X =
% 27.66/28.04 sdtasdt0( sz10, X ) }.
% 27.66/28.04 substitution0:
% 27.66/28.04 X := X
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 subsumption: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 27.66/28.04 ( sz10, X ) ==> X }.
% 27.66/28.04 parent0: (36298) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz10, X ) = X, !
% 27.66/28.04 aNaturalNumber0( X ) }.
% 27.66/28.04 substitution0:
% 27.66/28.04 X := X
% 27.66/28.04 end
% 27.66/28.04 permutation0:
% 27.66/28.04 0 ==> 1
% 27.66/28.04 1 ==> 0
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 subsumption: (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 27.66/28.04 ( X, sz00 ) ==> sz00 }.
% 27.66/28.04 parent0: (36186) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X
% 27.66/28.04 , sz00 ) = sz00 }.
% 27.66/28.04 substitution0:
% 27.66/28.04 X := X
% 27.66/28.04 end
% 27.66/28.04 permutation0:
% 27.66/28.04 0 ==> 0
% 27.66/28.04 1 ==> 1
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 27.66/28.04 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 27.66/28.04 sdtasdt0( X, Z ), Y = Z }.
% 27.66/28.04 parent0: (36192) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00,
% 27.66/28.04 ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 27.66/28.04 sdtasdt0( X, Z ), Y = Z }.
% 27.66/28.04 substitution0:
% 27.66/28.04 X := X
% 27.66/28.04 Y := Y
% 27.66/28.04 Z := Z
% 27.66/28.04 end
% 27.66/28.04 permutation0:
% 27.66/28.04 0 ==> 0
% 27.66/28.04 1 ==> 1
% 27.66/28.04 2 ==> 2
% 27.66/28.04 3 ==> 3
% 27.66/28.04 4 ==> 4
% 27.66/28.04 5 ==> 5
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 subsumption: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 27.66/28.04 sdtlseqdt0( X, X ) }.
% 27.66/28.04 parent0: (36203) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 27.66/28.04 ( X, X ) }.
% 27.66/28.04 substitution0:
% 27.66/28.04 X := X
% 27.66/28.04 end
% 27.66/28.04 permutation0:
% 27.66/28.04 0 ==> 0
% 27.66/28.04 1 ==> 1
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 subsumption: (33) {G0,W15,D2,L6,V3,M6} I { ! aNaturalNumber0( X ), !
% 27.66/28.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 27.66/28.04 sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 27.66/28.04 parent0: (36205) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), !
% 27.66/28.04 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), !
% 27.66/28.04 sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 27.66/28.04 substitution0:
% 27.66/28.04 X := X
% 27.66/28.04 Y := Y
% 27.66/28.04 Z := Z
% 27.66/28.04 end
% 27.66/28.04 permutation0:
% 27.66/28.04 0 ==> 0
% 27.66/28.04 1 ==> 1
% 27.66/28.04 2 ==> 2
% 27.66/28.04 3 ==> 3
% 27.66/28.04 4 ==> 4
% 27.66/28.04 5 ==> 5
% 27.66/28.04 end
% 27.66/28.04
% 27.66/28.04 subsumption: (43) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 27.66/28.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, !
% 27.66/28.05 sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.66/28.05 parent0: (36215) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), !
% 27.66/28.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, !
% 27.66/28.05 sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := X
% 27.66/28.05 Y := Y
% 27.66/28.05 Z := Z
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 1 ==> 1
% 27.66/28.05 2 ==> 2
% 27.66/28.05 3 ==> 3
% 27.66/28.05 4 ==> 4
% 27.66/28.05 5 ==> 5
% 27.66/28.05 6 ==> 6
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 27.66/28.05 , X = sz10, ! sz10 = X }.
% 27.66/28.05 parent0: (36220) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00,
% 27.66/28.05 X = sz10, ! sz10 = X }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := X
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 1 ==> 1
% 27.66/28.05 2 ==> 2
% 27.66/28.05 3 ==> 3
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.66/28.05 parent0: (36222) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.66/28.05 parent0: (36223) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (54) {G0,W6,D2,L2,V0,M2} I { xm ==> sz00, sdtlseqdt0( sz10, xm
% 27.66/28.05 ) }.
% 27.66/28.05 parent0: (36226) {G0,W6,D2,L2,V0,M2} { xm = sz00, sdtlseqdt0( sz10, xm )
% 27.66/28.05 }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 1 ==> 1
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (55) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 27.66/28.05 parent0: (36227) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (57) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn,
% 27.66/28.05 xm ) ) }.
% 27.66/28.05 parent0: (36229) {G0,W5,D3,L1,V0,M1} { ! sdtlseqdt0( xn, sdtasdt0( xn, xm
% 27.66/28.05 ) ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 factor: (38766) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00, !
% 27.66/28.05 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 27.66/28.05 parent0[0, 2]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X =
% 27.66/28.05 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y )
% 27.66/28.05 = sdtasdt0( X, Z ), Y = Z }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := X
% 27.66/28.05 Y := X
% 27.66/28.05 Z := Y
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (78) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X =
% 27.66/28.05 sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X =
% 27.66/28.05 Y }.
% 27.66/28.05 parent0: (38766) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00,
% 27.66/28.05 ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := X
% 27.66/28.05 Y := Y
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 1 ==> 1
% 27.66/28.05 2 ==> 2
% 27.66/28.05 3 ==> 3
% 27.66/28.05 4 ==> 4
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 resolution: (38788) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, sz00 ) }.
% 27.66/28.05 parent0[0]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 27.66/28.05 ( X, X ) }.
% 27.66/28.05 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := sz00
% 27.66/28.05 end
% 27.66/28.05 substitution1:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (145) {G1,W3,D2,L1,V0,M1} R(31,1) { sdtlseqdt0( sz00, sz00 )
% 27.66/28.05 }.
% 27.66/28.05 parent0: (38788) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz00, sz00 ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 resolution: (38789) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xn ) }.
% 27.66/28.05 parent0[0]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 27.66/28.05 ( X, X ) }.
% 27.66/28.05 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := xn
% 27.66/28.05 end
% 27.66/28.05 substitution1:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (148) {G1,W3,D2,L1,V0,M1} R(31,51) { sdtlseqdt0( xn, xn ) }.
% 27.66/28.05 parent0: (38789) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xn ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 resolution: (38792) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz10, xm ) }.
% 27.66/28.05 parent0[0]: (55) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 27.66/28.05 parent1[0]: (54) {G0,W6,D2,L2,V0,M2} I { xm ==> sz00, sdtlseqdt0( sz10, xm
% 27.66/28.05 ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 substitution1:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (211) {G1,W3,D2,L1,V0,M1} S(54);r(55) { sdtlseqdt0( sz10, xm )
% 27.66/28.05 }.
% 27.66/28.05 parent0: (38792) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( sz10, xm ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 paramod: (38793) {G1,W9,D3,L3,V0,M3} { ! sdtlseqdt0( xn, sdtasdt0( xm, xn
% 27.66/28.05 ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xm ) }.
% 27.66/28.05 parent0[2]: (10) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.66/28.05 aNaturalNumber0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.66/28.05 parent1[0; 3]: (57) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn
% 27.66/28.05 , xm ) ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := xn
% 27.66/28.05 Y := xm
% 27.66/28.05 end
% 27.66/28.05 substitution1:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 resolution: (38833) {G1,W7,D3,L2,V0,M2} { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 27.66/28.05 xn ) ), ! aNaturalNumber0( xm ) }.
% 27.66/28.05 parent0[1]: (38793) {G1,W9,D3,L3,V0,M3} { ! sdtlseqdt0( xn, sdtasdt0( xm,
% 27.66/28.05 xn ) ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( xm ) }.
% 27.66/28.05 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 substitution1:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (355) {G1,W7,D3,L2,V0,M2} P(10,57);r(51) { ! sdtlseqdt0( xn,
% 27.66/28.05 sdtasdt0( xm, xn ) ), ! aNaturalNumber0( xm ) }.
% 27.66/28.05 parent0: (38833) {G1,W7,D3,L2,V0,M2} { ! sdtlseqdt0( xn, sdtasdt0( xm, xn
% 27.66/28.05 ) ), ! aNaturalNumber0( xm ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 1 ==> 1
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 eqswap: (38834) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 27.66/28.05 aNaturalNumber0( X ) }.
% 27.66/28.05 parent0[1]: (12) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 27.66/28.05 X, sz10 ) ==> X }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := X
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 resolution: (38835) {G1,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xn, sz10 ) }.
% 27.66/28.05 parent0[1]: (38834) {G0,W7,D3,L2,V1,M2} { X ==> sdtasdt0( X, sz10 ), !
% 27.66/28.05 aNaturalNumber0( X ) }.
% 27.66/28.05 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := xn
% 27.66/28.05 end
% 27.66/28.05 substitution1:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 eqswap: (38836) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xn, sz10 ) ==> xn }.
% 27.66/28.05 parent0[0]: (38835) {G1,W5,D3,L1,V0,M1} { xn ==> sdtasdt0( xn, sz10 ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (489) {G1,W5,D3,L1,V0,M1} R(12,51) { sdtasdt0( xn, sz10 ) ==>
% 27.66/28.05 xn }.
% 27.66/28.05 parent0: (38836) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xn, sz10 ) ==> xn }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 eqswap: (38837) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 27.66/28.05 aNaturalNumber0( X ) }.
% 27.66/28.05 parent0[1]: (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 27.66/28.05 X, sz00 ) ==> sz00 }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := X
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 resolution: (38838) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xm, sz00 )
% 27.66/28.05 }.
% 27.66/28.05 parent0[1]: (38837) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 27.66/28.05 aNaturalNumber0( X ) }.
% 27.66/28.05 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := xm
% 27.66/28.05 end
% 27.66/28.05 substitution1:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 eqswap: (38839) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz00 ) ==> sz00 }.
% 27.66/28.05 parent0[0]: (38838) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xm, sz00 )
% 27.66/28.05 }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 subsumption: (520) {G1,W5,D3,L1,V0,M1} R(14,50) { sdtasdt0( xm, sz00 ) ==>
% 27.66/28.05 sz00 }.
% 27.66/28.05 parent0: (38839) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xm, sz00 ) ==> sz00 }.
% 27.66/28.05 substitution0:
% 27.66/28.05 end
% 27.66/28.05 permutation0:
% 27.66/28.05 0 ==> 0
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 eqswap: (38840) {G0,W22,D3,L7,V3,M7} { sz00 = X, ! aNaturalNumber0( X ), !
% 27.66/28.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), Y = Z, ! sdtlseqdt0( Y, Z
% 27.66/28.05 ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.66/28.05 parent0[3]: (43) {G0,W22,D3,L7,V3,M7} I { ! aNaturalNumber0( X ), !
% 27.66/28.05 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, !
% 27.66/28.05 sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := X
% 27.66/28.05 Y := Y
% 27.66/28.05 Z := Z
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 resolution: (38844) {G1,W19,D3,L6,V1,M6} { sz00 = X, ! aNaturalNumber0( X
% 27.66/28.05 ), ! aNaturalNumber0( sz10 ), ! aNaturalNumber0( xm ), sz10 = xm,
% 27.66/28.05 sdtlseqdt0( sdtasdt0( sz10, X ), sdtasdt0( xm, X ) ) }.
% 27.66/28.05 parent0[5]: (38840) {G0,W22,D3,L7,V3,M7} { sz00 = X, ! aNaturalNumber0( X
% 27.66/28.05 ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), Y = Z, ! sdtlseqdt0(
% 27.66/28.05 Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.66/28.05 parent1[0]: (211) {G1,W3,D2,L1,V0,M1} S(54);r(55) { sdtlseqdt0( sz10, xm )
% 27.66/28.05 }.
% 27.66/28.05 substitution0:
% 27.66/28.05 X := X
% 27.66/28.05 Y := sz10
% 27.66/28.05 Z := xm
% 27.66/28.05 end
% 27.66/28.05 substitution1:
% 27.66/28.05 end
% 27.66/28.05
% 27.66/28.05 paramod: (38871) {G1,W19,D3,L7,V1,M7} { sdtlseqdt0( X, sdtasdt0( xm, X ) )
% 27.66/28.05 , ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( X ), !
% 27.66/28.05 aNaturalNumber0( sz10 ), ! aNaturalNumber0( xm ), sz10 = xm }.
% 27.66/28.05 parent0[1]: (13) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 27.66/28.05 sz10, X ) ==> X }.
% 27.87/28.28 parent1[5; 1]: (38844) {G1,W19,D3,L6,V1,M6} { sz00 = X, ! aNaturalNumber0
% 27.87/28.28 ( X ), ! aNaturalNumber0( sz10 ), ! aNaturalNumber0( xm ), sz10 = xm,
% 27.87/28.28 sdtlseqdt0( sdtasdt0( sz10, X ), sdtasdt0( xm, X ) ) }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := X
% 27.87/28.28 end
% 27.87/28.28 substitution1:
% 27.87/28.28 X := X
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 factor: (38872) {G1,W17,D3,L6,V1,M6} { sdtlseqdt0( X, sdtasdt0( xm, X ) )
% 27.87/28.28 , ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( sz10 ), !
% 27.87/28.28 aNaturalNumber0( xm ), sz10 = xm }.
% 27.87/28.28 parent0[1, 3]: (38871) {G1,W19,D3,L7,V1,M7} { sdtlseqdt0( X, sdtasdt0( xm
% 27.87/28.28 , X ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( X ), !
% 27.87/28.28 aNaturalNumber0( sz10 ), ! aNaturalNumber0( xm ), sz10 = xm }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := X
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 resolution: (38883) {G1,W15,D3,L5,V1,M5} { sdtlseqdt0( X, sdtasdt0( xm, X
% 27.87/28.28 ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( xm ), sz10 =
% 27.87/28.28 xm }.
% 27.87/28.28 parent0[3]: (38872) {G1,W17,D3,L6,V1,M6} { sdtlseqdt0( X, sdtasdt0( xm, X
% 27.87/28.28 ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( sz10 ), !
% 27.87/28.28 aNaturalNumber0( xm ), sz10 = xm }.
% 27.87/28.28 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := X
% 27.87/28.28 end
% 27.87/28.28 substitution1:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 eqswap: (38885) {G1,W15,D3,L5,V1,M5} { xm = sz10, sdtlseqdt0( X, sdtasdt0
% 27.87/28.28 ( xm, X ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( xm )
% 27.87/28.28 }.
% 27.87/28.28 parent0[4]: (38883) {G1,W15,D3,L5,V1,M5} { sdtlseqdt0( X, sdtasdt0( xm, X
% 27.87/28.28 ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0( xm ), sz10 =
% 27.87/28.28 xm }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := X
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 eqswap: (38886) {G1,W15,D3,L5,V1,M5} { X = sz00, xm = sz10, sdtlseqdt0( X
% 27.87/28.28 , sdtasdt0( xm, X ) ), ! aNaturalNumber0( X ), ! aNaturalNumber0( xm )
% 27.87/28.28 }.
% 27.87/28.28 parent0[3]: (38885) {G1,W15,D3,L5,V1,M5} { xm = sz10, sdtlseqdt0( X,
% 27.87/28.28 sdtasdt0( xm, X ) ), ! aNaturalNumber0( X ), sz00 = X, ! aNaturalNumber0
% 27.87/28.28 ( xm ) }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := X
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 subsumption: (5401) {G2,W15,D3,L5,V1,M5} R(43,211);d(13);r(2) { !
% 27.87/28.28 aNaturalNumber0( X ), ! aNaturalNumber0( xm ), X = sz00, xm ==> sz10,
% 27.87/28.28 sdtlseqdt0( X, sdtasdt0( xm, X ) ) }.
% 27.87/28.28 parent0: (38886) {G1,W15,D3,L5,V1,M5} { X = sz00, xm = sz10, sdtlseqdt0( X
% 27.87/28.28 , sdtasdt0( xm, X ) ), ! aNaturalNumber0( X ), ! aNaturalNumber0( xm )
% 27.87/28.28 }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := X
% 27.87/28.28 end
% 27.87/28.28 permutation0:
% 27.87/28.28 0 ==> 2
% 27.87/28.28 1 ==> 3
% 27.87/28.28 2 ==> 4
% 27.87/28.28 3 ==> 0
% 27.87/28.28 4 ==> 1
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 eqswap: (38891) {G0,W11,D2,L4,V1,M4} { sz00 = X, ! aNaturalNumber0( X ), X
% 27.87/28.28 = sz10, ! sz10 = X }.
% 27.87/28.28 parent0[1]: (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 27.87/28.28 , X = sz10, ! sz10 = X }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := X
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 resolution: (38898) {G1,W9,D2,L3,V0,M3} { sz00 = xm, xm = sz10, ! sz10 =
% 27.87/28.28 xm }.
% 27.87/28.28 parent0[1]: (38891) {G0,W11,D2,L4,V1,M4} { sz00 = X, ! aNaturalNumber0( X
% 27.87/28.28 ), X = sz10, ! sz10 = X }.
% 27.87/28.28 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := xm
% 27.87/28.28 end
% 27.87/28.28 substitution1:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 eqswap: (38901) {G1,W9,D2,L3,V0,M3} { ! xm = sz10, sz00 = xm, xm = sz10
% 27.87/28.28 }.
% 27.87/28.28 parent0[2]: (38898) {G1,W9,D2,L3,V0,M3} { sz00 = xm, xm = sz10, ! sz10 =
% 27.87/28.28 xm }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 eqswap: (38902) {G1,W9,D2,L3,V0,M3} { xm = sz00, ! xm = sz10, xm = sz10
% 27.87/28.28 }.
% 27.87/28.28 parent0[1]: (38901) {G1,W9,D2,L3,V0,M3} { ! xm = sz10, sz00 = xm, xm =
% 27.87/28.28 sz10 }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 subsumption: (6693) {G1,W9,D2,L3,V0,M3} R(48,50) { xm ==> sz00, xm ==> sz10
% 27.87/28.28 , ! xm ==> sz10 }.
% 27.87/28.28 parent0: (38902) {G1,W9,D2,L3,V0,M3} { xm = sz00, ! xm = sz10, xm = sz10
% 27.87/28.28 }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28 permutation0:
% 27.87/28.28 0 ==> 0
% 27.87/28.28 1 ==> 2
% 27.87/28.28 2 ==> 1
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 *** allocated 864960 integers for termspace/termends
% 27.87/28.28 *** allocated 15000 integers for justifications
% 27.87/28.28 *** allocated 22500 integers for justifications
% 27.87/28.28 *** allocated 33750 integers for justifications
% 27.87/28.28 eqswap: (38906) {G0,W11,D2,L4,V1,M4} { sz00 = X, ! aNaturalNumber0( X ), X
% 27.87/28.28 = sz10, ! sz10 = X }.
% 27.87/28.28 parent0[1]: (48) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 27.87/28.28 , X = sz10, ! sz10 = X }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := X
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 eqswap: (38914) {G1,W9,D2,L3,V0,M3} { sz00 ==> xm, xm ==> sz10, ! xm ==>
% 27.87/28.28 sz10 }.
% 27.87/28.28 parent0[0]: (6693) {G1,W9,D2,L3,V0,M3} R(48,50) { xm ==> sz00, xm ==> sz10
% 27.87/28.28 , ! xm ==> sz10 }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 paramod: (38924) {G1,W13,D3,L4,V0,M4} { ! sdtlseqdt0( xn, sdtasdt0( xn,
% 27.87/28.28 sz10 ) ), sz00 = xm, ! aNaturalNumber0( xm ), ! sz10 = xm }.
% 27.87/28.28 parent0[2]: (38906) {G0,W11,D2,L4,V1,M4} { sz00 = X, ! aNaturalNumber0( X
% 27.87/28.28 ), X = sz10, ! sz10 = X }.
% 27.87/28.28 parent1[0; 5]: (57) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xn, sdtasdt0( xn
% 27.87/28.28 , xm ) ) }.
% 27.87/28.28 substitution0:
% 27.87/28.28 X := xm
% 27.87/28.28 end
% 27.87/28.28 substitution1:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 paramod: (41235) {G2,W11,D2,L4,V0,M4} { ! sdtlseqdt0( xn, xn ), sz00 = xm
% 27.87/28.28 , ! aNaturalNumber0( xm ), ! sz10 = xm }.
% 27.87/28.28 parent0[0]: (489) {G1,W5,D3,L1,V0,M1} R(12,51) { sdtasdt0( xn, sz10 ) ==>
% 27.87/28.28 xn }.
% 27.87/28.28 parent1[0; 3]: (38924) {G1,W13,D3,L4,V0,M4} { ! sdtlseqdt0( xn, sdtasdt0(
% 27.87/28.28 xn, sz10 ) ), sz00 = xm, ! aNaturalNumber0( xm ), ! sz10 = xm }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28 substitution1:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 paramod: (41237) {G2,W17,D2,L6,V0,M6} { ! aNaturalNumber0( sz10 ), sz00
% 27.87/28.28 ==> xm, ! xm ==> sz10, ! sdtlseqdt0( xn, xn ), sz00 = xm, ! sz10 = xm }.
% 27.87/28.28 parent0[1]: (38914) {G1,W9,D2,L3,V0,M3} { sz00 ==> xm, xm ==> sz10, ! xm
% 27.87/28.28 ==> sz10 }.
% 27.87/28.28 parent1[2; 2]: (41235) {G2,W11,D2,L4,V0,M4} { ! sdtlseqdt0( xn, xn ), sz00
% 27.87/28.28 = xm, ! aNaturalNumber0( xm ), ! sz10 = xm }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28 substitution1:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 factor: (41262) {G2,W14,D2,L5,V0,M5} { ! aNaturalNumber0( sz10 ), sz00 ==>
% 27.87/28.28 xm, ! xm ==> sz10, ! sdtlseqdt0( xn, xn ), ! sz10 = xm }.
% 27.87/28.28 parent0[1, 4]: (41237) {G2,W17,D2,L6,V0,M6} { ! aNaturalNumber0( sz10 ),
% 27.87/28.28 sz00 ==> xm, ! xm ==> sz10, ! sdtlseqdt0( xn, xn ), sz00 = xm, ! sz10 =
% 27.87/28.28 xm }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 resolution: (43784) {G2,W11,D2,L4,V0,M4} { ! aNaturalNumber0( sz10 ), sz00
% 27.87/28.28 ==> xm, ! xm ==> sz10, ! sz10 = xm }.
% 27.87/28.28 parent0[3]: (41262) {G2,W14,D2,L5,V0,M5} { ! aNaturalNumber0( sz10 ), sz00
% 27.87/28.28 ==> xm, ! xm ==> sz10, ! sdtlseqdt0( xn, xn ), ! sz10 = xm }.
% 27.87/28.28 parent1[0]: (148) {G1,W3,D2,L1,V0,M1} R(31,51) { sdtlseqdt0( xn, xn ) }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28 substitution1:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 eqswap: (43787) {G2,W11,D2,L4,V0,M4} { ! xm = sz10, ! aNaturalNumber0(
% 27.87/28.28 sz10 ), sz00 ==> xm, ! xm ==> sz10 }.
% 27.87/28.28 parent0[3]: (43784) {G2,W11,D2,L4,V0,M4} { ! aNaturalNumber0( sz10 ), sz00
% 27.87/28.28 ==> xm, ! xm ==> sz10, ! sz10 = xm }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 eqswap: (43788) {G2,W11,D2,L4,V0,M4} { xm ==> sz00, ! xm = sz10, !
% 27.87/28.28 aNaturalNumber0( sz10 ), ! xm ==> sz10 }.
% 27.87/28.28 parent0[2]: (43787) {G2,W11,D2,L4,V0,M4} { ! xm = sz10, ! aNaturalNumber0
% 27.87/28.28 ( sz10 ), sz00 ==> xm, ! xm ==> sz10 }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 factor: (43793) {G2,W8,D2,L3,V0,M3} { xm ==> sz00, ! xm = sz10, !
% 27.87/28.28 aNaturalNumber0( sz10 ) }.
% 27.87/28.28 parent0[1, 3]: (43788) {G2,W11,D2,L4,V0,M4} { xm ==> sz00, ! xm = sz10, !
% 27.87/28.28 aNaturalNumber0( sz10 ), ! xm ==> sz10 }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 subsumption: (6770) {G2,W8,D2,L3,V0,M3} P(48,57);d(489);d(6693);r(148) { xm
% 27.87/28.28 ==> sz00, ! xm ==> sz10, ! aNaturalNumber0( sz10 ) }.
% 27.87/28.28 parent0: (43793) {G2,W8,D2,L3,V0,M3} { xm ==> sz00, ! xm = sz10, !
% 27.87/28.28 aNaturalNumber0( sz10 ) }.
% 27.87/28.28 substitution0:
% 27.87/28.28 end
% 27.87/28.28 permutation0:
% 27.87/28.28 0 ==> 0
% 27.87/28.28 1 ==> 1
% 27.87/28.28 2 ==> 2
% 27.87/28.28 end
% 27.87/28.28
% 27.87/28.28 resolution: (43800) {G1,W5,D2,L2,V0,M2} { ! xm ==> sz10, ! aNaturalNumber0
% 27.87/28.28 ( sz10 ) }.
% 27.87/28.28 parent0[0]: (55) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 27.87/28.28 parent1[0]: (6770) {G2,W8,D2,L3,V0,M3} P(48,57);d(489);d(6693);r(148) { xm
% 27.87/28.28 ==> sz00, ! xm ==> sz10, ! aNaturalNumber0( sz10 ) }.
% 27.87/28.29 substitution0:
% 27.87/28.29 end
% 27.87/28.29 substitution1:
% 27.87/28.29 end
% 27.87/28.29
% 27.87/28.29 resolution: (43801) {G1,W3,D2,L1,V0,M1} { ! xm ==> sz10 }.
% 27.87/28.29 parent0[1]: (43800) {G1,W5,D2,L2,V0,M2} { ! xm ==> sz10, ! aNaturalNumber0
% 27.87/28.29 ( sz10 ) }.
% 27.87/28.29 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 27.87/28.29 substitution0:
% 27.87/28.29 end
% 27.87/28.29 substitution1:
% 27.87/28.29 end
% 27.87/28.29
% 27.87/28.29 subsumption: (22509) {G3,W3,D2,L1,V0,M1} S(6770);r(55);r(2) { ! xm ==> sz10
% 27.87/28.29 }.
% 27.87/28.29 parent0: (43801) {G1,W3,D2,L1,V0,M1} { ! xm ==> sz10 }.
% 27.87/28.29 substitution0:
% 27.87/28.29 end
% 27.87/28.29 permutation0:
% 27.87/28.29 0 ==> 0
% 27.87/28.29 end
% 27.87/28.29
% 27.87/28.29 resolution: (43814) {G1,W13,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X =
% 27.87/28.29 sz00, xm ==> sz10, sdtlseqdt0( X, sdtasdt0( xm, X ) ) }.
% 27.87/28.29 parent0[1]: (5401) {G2,W15,D3,L5,V1,M5} R(43,211);d(13);r(2) { !
% 27.87/28.29 aNaturalNumber0( X ), ! aNaturalNumber0( xm ), X = sz00, xm ==> sz10,
% 27.87/28.29 sdtlseqdt0( X, sdtasdt0( xm, X ) ) }.
% 27.87/28.29 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.87/28.29 substitution0:
% 27.87/28.29 X := X
% 27.87/28.29 end
% 27.87/28.29 substitution1:
% 27.87/28.29 end
% 27.87/28.29
% 27.87/28.29 resolution: (43815) {G2,W10,D3,L3,V1,M3} { ! aNaturalNumberCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------