TSTP Solution File: NUM480+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM480+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 06:22:43 EDT 2022
% Result : Theorem 4.36s 4.79s
% Output : Refutation 4.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM480+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.33 % Computer : n011.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Thu Jul 7 21:42:24 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.75/1.10 *** allocated 10000 integers for termspace/termends
% 0.75/1.10 *** allocated 10000 integers for clauses
% 0.75/1.10 *** allocated 10000 integers for justifications
% 0.75/1.10 Bliksem 1.12
% 0.75/1.10
% 0.75/1.10
% 0.75/1.10 Automatic Strategy Selection
% 0.75/1.10
% 0.75/1.10
% 0.75/1.10 Clauses:
% 0.75/1.10
% 0.75/1.10 { && }.
% 0.75/1.10 { aNaturalNumber0( sz00 ) }.
% 0.75/1.10 { aNaturalNumber0( sz10 ) }.
% 0.75/1.10 { ! sz10 = sz00 }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.75/1.10 ( X, Y ) ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.75/1.10 ( X, Y ) ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.75/1.10 sdtpldt0( Y, X ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.10 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.75/1.10 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.75/1.10 sdtasdt0( Y, X ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.10 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.75/1.10 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.75/1.10 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.10 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.75/1.10 , Z ) ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.10 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.75/1.10 , X ) ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.10 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.10 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.75/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.75/1.10 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.75/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.75/1.10 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.75/1.10 , X = sz00 }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.75/1.10 , Y = sz00 }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.75/1.10 , X = sz00, Y = sz00 }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.75/1.10 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.75/1.10 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.10 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.75/1.10 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.75/1.10 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.75/1.10 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.75/1.10 sdtlseqdt0( Y, X ), X = Y }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.10 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.75/1.10 X }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.75/1.10 sdtlseqdt0( Y, X ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.75/1.10 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.75/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.75/1.10 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.75/1.10 ) ) }.
% 0.75/1.10 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.75/1.10 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.75/1.10 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 4.36/4.79 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 4.36/4.79 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 4.36/4.79 ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 4.36/4.79 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 4.36/4.79 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 4.36/4.79 sdtasdt0( Z, X ) ) }.
% 4.36/4.79 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 4.36/4.79 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 4.36/4.79 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 4.36/4.79 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 4.36/4.79 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 4.36/4.79 ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 4.36/4.79 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 4.36/4.79 sdtasdt0( Y, X ) ) }.
% 4.36/4.79 { && }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 4.36/4.79 ), iLess0( X, Y ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 4.36/4.79 aNaturalNumber0( skol2( Z, T ) ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 4.36/4.79 sdtasdt0( X, skol2( X, Y ) ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 4.36/4.79 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 4.36/4.79 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 4.36/4.79 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 4.36/4.79 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 4.36/4.79 ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 4.36/4.79 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 4.36/4.79 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 4.36/4.79 ) ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 4.36/4.79 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 4.36/4.79 Z ) }.
% 4.36/4.79 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 4.36/4.79 sz00, sdtlseqdt0( X, Y ) }.
% 4.36/4.79 { aNaturalNumber0( xl ) }.
% 4.36/4.79 { aNaturalNumber0( xm ) }.
% 4.36/4.79 { ! xl = sz00 }.
% 4.36/4.79 { aNaturalNumber0( skol3 ) }.
% 4.36/4.79 { xm = sdtasdt0( xl, skol3 ) }.
% 4.36/4.79 { doDivides0( xl, xm ) }.
% 4.36/4.79 { aNaturalNumber0( xn ) }.
% 4.36/4.79 { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.79 { xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ) }.
% 4.36/4.79 { aNaturalNumber0( sdtsldt0( sdtasdt0( xn, xm ), xl ) ) }.
% 4.36/4.79 { sdtasdt0( xn, xm ) = sdtasdt0( xl, sdtsldt0( sdtasdt0( xn, xm ), xl ) ) }
% 4.36/4.79 .
% 4.36/4.79 { sdtasdt0( sdtasdt0( xl, xn ), sdtsldt0( xm, xl ) ) = sdtasdt0( xl,
% 4.36/4.79 sdtsldt0( sdtasdt0( xn, xm ), xl ) ) }.
% 4.36/4.79 { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.79 { xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ) }.
% 4.36/4.79 { ! sdtasdt0( xn, xm ) = sdtasdt0( xl, sdtasdt0( xn, sdtsldt0( xm, xl ) ) )
% 4.36/4.79 }.
% 4.36/4.79 { ! sdtasdt0( xn, sdtsldt0( xm, xl ) ) = sdtsldt0( sdtasdt0( xn, xm ), xl )
% 4.36/4.79 }.
% 4.36/4.79
% 4.36/4.79 percentage equality = 0.298851, percentage horn = 0.763158
% 4.36/4.79 This is a problem with some equality
% 4.36/4.79
% 4.36/4.79
% 4.36/4.79
% 4.36/4.79 Options Used:
% 4.36/4.79
% 4.36/4.79 useres = 1
% 4.36/4.79 useparamod = 1
% 4.36/4.79 useeqrefl = 1
% 4.36/4.79 useeqfact = 1
% 4.36/4.79 usefactor = 1
% 4.36/4.79 usesimpsplitting = 0
% 4.36/4.79 usesimpdemod = 5
% 4.36/4.79 usesimpres = 3
% 4.36/4.79
% 4.36/4.79 resimpinuse = 1000
% 4.36/4.79 resimpclauses = 20000
% 4.36/4.79 substype = eqrewr
% 4.36/4.79 backwardsubs = 1
% 4.36/4.79 selectoldest = 5
% 4.36/4.79
% 4.36/4.79 litorderings [0] = split
% 4.36/4.79 litorderings [1] = extend the termordering, first sorting on arguments
% 4.36/4.79
% 4.36/4.79 termordering = kbo
% 4.36/4.79
% 4.36/4.79 litapriori = 0
% 4.36/4.79 termapriori = 1
% 4.36/4.79 litaposteriori = 0
% 4.36/4.79 termaposteriori = 0
% 4.36/4.79 demodaposteriori = 0
% 4.36/4.79 ordereqreflfact = 0
% 4.36/4.79
% 4.36/4.79 litselect = negord
% 4.36/4.79
% 4.36/4.79 maxweight = 15
% 4.36/4.79 maxdepth = 30000
% 4.36/4.79 maxlength = 115
% 4.36/4.79 maxnrvars = 195
% 4.36/4.79 excuselevel = 1
% 4.36/4.79 increasemaxweight = 1
% 4.36/4.79
% 4.36/4.79 maxselected = 10000000
% 4.36/4.79 maxnrclauses = 10000000
% 4.36/4.79
% 4.36/4.79 showgenerated = 0
% 4.36/4.79 showkept = 0
% 4.36/4.79 showselected = 0
% 4.36/4.79 showdeleted = 0
% 4.36/4.79 showresimp = 1
% 4.36/4.79 showstatus = 2000
% 4.36/4.79
% 4.36/4.79 prologoutput = 0
% 4.36/4.79 nrgoals = 5000000
% 4.36/4.79 totalproof = 1
% 4.36/4.79
% 4.36/4.79 Symbols occurring in the translation:
% 4.36/4.79
% 4.36/4.79 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.36/4.79 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 4.36/4.79 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 4.36/4.79 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 4.36/4.79 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.36/4.79 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.36/4.79 aNaturalNumber0 [36, 1] (w:1, o:20, a:1, s:1, b:0),
% 4.36/4.79 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.36/4.79 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.36/4.79 sdtpldt0 [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 4.36/4.79 sdtasdt0 [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 4.36/4.79 sdtlseqdt0 [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 4.36/4.79 sdtmndt0 [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 4.36/4.79 iLess0 [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 4.36/4.79 doDivides0 [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 4.36/4.79 sdtsldt0 [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 4.36/4.79 xl [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 4.36/4.79 xm [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.36/4.79 xn [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 4.36/4.79 alpha1 [51, 3] (w:1, o:54, a:1, s:1, b:1),
% 4.36/4.79 alpha2 [52, 3] (w:1, o:55, a:1, s:1, b:1),
% 4.36/4.79 skol1 [53, 2] (w:1, o:52, a:1, s:1, b:1),
% 4.36/4.79 skol2 [54, 2] (w:1, o:53, a:1, s:1, b:1),
% 4.36/4.79 skol3 [55, 0] (w:1, o:14, a:1, s:1, b:1).
% 4.36/4.79
% 4.36/4.79
% 4.36/4.79 Starting Search:
% 4.36/4.79
% 4.36/4.79 *** allocated 15000 integers for clauses
% 4.36/4.79 *** allocated 22500 integers for clauses
% 4.36/4.79 *** allocated 33750 integers for clauses
% 4.36/4.79 *** allocated 50625 integers for clauses
% 4.36/4.79 *** allocated 15000 integers for termspace/termends
% 4.36/4.79 *** allocated 75937 integers for clauses
% 4.36/4.79 *** allocated 22500 integers for termspace/termends
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 *** allocated 113905 integers for clauses
% 4.36/4.79 *** allocated 33750 integers for termspace/termends
% 4.36/4.79 *** allocated 170857 integers for clauses
% 4.36/4.79
% 4.36/4.79 Intermediate Status:
% 4.36/4.79 Generated: 10615
% 4.36/4.79 Kept: 2020
% 4.36/4.79 Inuse: 110
% 4.36/4.79 Deleted: 5
% 4.36/4.79 Deletedinuse: 5
% 4.36/4.79
% 4.36/4.79 *** allocated 50625 integers for termspace/termends
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 *** allocated 256285 integers for clauses
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 *** allocated 75937 integers for termspace/termends
% 4.36/4.79
% 4.36/4.79 Intermediate Status:
% 4.36/4.79 Generated: 24121
% 4.36/4.79 Kept: 4160
% 4.36/4.79 Inuse: 164
% 4.36/4.79 Deleted: 7
% 4.36/4.79 Deletedinuse: 5
% 4.36/4.79
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 *** allocated 113905 integers for termspace/termends
% 4.36/4.79 *** allocated 384427 integers for clauses
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 *** allocated 170857 integers for termspace/termends
% 4.36/4.79
% 4.36/4.79 Intermediate Status:
% 4.36/4.79 Generated: 45824
% 4.36/4.79 Kept: 6180
% 4.36/4.79 Inuse: 209
% 4.36/4.79 Deleted: 12
% 4.36/4.79 Deletedinuse: 5
% 4.36/4.79
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 *** allocated 576640 integers for clauses
% 4.36/4.79
% 4.36/4.79 Intermediate Status:
% 4.36/4.79 Generated: 59600
% 4.36/4.79 Kept: 8263
% 4.36/4.79 Inuse: 236
% 4.36/4.79 Deleted: 16
% 4.36/4.79 Deletedinuse: 6
% 4.36/4.79
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 *** allocated 256285 integers for termspace/termends
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79
% 4.36/4.79 Intermediate Status:
% 4.36/4.79 Generated: 79963
% 4.36/4.79 Kept: 10344
% 4.36/4.79 Inuse: 270
% 4.36/4.79 Deleted: 22
% 4.36/4.79 Deletedinuse: 11
% 4.36/4.79
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 *** allocated 864960 integers for clauses
% 4.36/4.79
% 4.36/4.79 Intermediate Status:
% 4.36/4.79 Generated: 102935
% 4.36/4.79 Kept: 12345
% 4.36/4.79 Inuse: 372
% 4.36/4.79 Deleted: 29
% 4.36/4.79 Deletedinuse: 12
% 4.36/4.79
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79 *** allocated 384427 integers for termspace/termends
% 4.36/4.79 Resimplifying inuse:
% 4.36/4.79 Done
% 4.36/4.79
% 4.36/4.79
% 4.36/4.79 Bliksems!, er is een bewijs:
% 4.36/4.79 % SZS status Theorem
% 4.36/4.79 % SZS output start Refutation
% 4.36/4.79
% 4.36/4.79 (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.36/4.79 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) ==> sdtasdt0
% 4.36/4.79 ( sdtasdt0( X, Y ), Z ) }.
% 4.36/4.79 (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 4.36/4.79 (68) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 4.36/4.79 (69) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.79 (72) {G0,W11,D5,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( sdtasdt0( xn, xm ),
% 4.36/4.79 xl ) ) ==> sdtasdt0( xn, xm ) }.
% 4.36/4.79 (73) {G1,W11,D4,L1,V0,M1} I;d(72) { sdtasdt0( sdtasdt0( xl, xn ), sdtsldt0
% 4.36/4.79 ( xm, xl ) ) ==> sdtasdt0( xn, xm ) }.
% 4.36/4.79 (74) {G0,W11,D5,L1,V0,M1} I { ! sdtasdt0( xl, sdtasdt0( xn, sdtsldt0( xm,
% 4.36/4.79 xl ) ) ) ==> sdtasdt0( xn, xm ) }.
% 4.36/4.79 (11550) {G2,W6,D3,L2,V0,M2} P(11,74);d(73);q;r(62) { ! aNaturalNumber0( xn
% 4.36/4.79 ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.79 (13906) {G3,W0,D0,L0,V0,M0} S(11550);r(68);r(69) { }.
% 4.36/4.79
% 4.36/4.79
% 4.36/4.79 % SZS output end Refutation
% 4.36/4.79 found a proof!
% 4.36/4.79
% 4.36/4.79
% 4.36/4.79 Unprocessed initial clauses:
% 4.36/4.79
% 4.36/4.79 (13908) {G0,W1,D1,L1,V0,M1} { && }.
% 4.36/4.79 (13909) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 4.36/4.79 (13910) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 4.36/4.79 (13911) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 4.36/4.79 (13912) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.36/4.79 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 4.36/4.79 (13913) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 4.36/4.79 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 4.36/4.79 (13914) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 4.36/4.79 (13915) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 4.36/4.79 X, sdtpldt0( Y, Z ) ) }.
% 4.36/4.79 (13916) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 4.36/4.79 = X }.
% 4.36/4.79 (13917) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 4.36/4.79 X ) }.
% 4.36/4.79 (13918) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 4.36/4.79 (13919) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 4.36/4.79 X, sdtasdt0( Y, Z ) ) }.
% 4.36/4.79 (13920) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 4.36/4.79 = X }.
% 4.36/4.79 (13921) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 4.36/4.79 X ) }.
% 4.36/4.79 (13922) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 4.36/4.79 = sz00 }.
% 4.36/4.79 (13923) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 4.36/4.79 sz00, X ) }.
% 4.36/4.79 (13924) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 4.36/4.79 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 4.36/4.79 (13925) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 4.36/4.79 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 4.36/4.79 (13926) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 4.36/4.79 }.
% 4.36/4.79 (13927) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 4.36/4.79 }.
% 4.36/4.79 (13928) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 4.36/4.79 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 4.36/4.79 sdtasdt0( X, Z ), Y = Z }.
% 4.36/4.79 (13929) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 4.36/4.79 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 4.36/4.79 sdtasdt0( Z, X ), Y = Z }.
% 4.36/4.79 (13930) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 4.36/4.79 (13931) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 4.36/4.79 (13932) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 4.36/4.79 (13933) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 4.36/4.79 (13934) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 4.36/4.79 (13935) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 4.36/4.79 }.
% 4.36/4.79 (13936) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 4.36/4.79 }.
% 4.36/4.79 (13937) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 4.36/4.79 }.
% 4.36/4.79 (13938) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 4.36/4.79 , Z = sdtmndt0( Y, X ) }.
% 4.36/4.79 (13939) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 4.36/4.79 }.
% 4.36/4.79 (13940) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 4.36/4.79 (13941) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 4.36/4.79 sdtlseqdt0( X, Z ) }.
% 4.36/4.79 (13942) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 4.36/4.79 (13943) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 4.36/4.79 (13944) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 4.36/4.79 ) }.
% 4.36/4.79 (13945) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 4.36/4.79 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 4.36/4.79 (13946) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 4.36/4.79 sdtpldt0( Z, Y ) }.
% 4.36/4.79 (13947) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 4.36/4.79 Z, X ), sdtpldt0( Z, Y ) ) }.
% 4.36/4.79 (13948) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 4.36/4.79 sdtpldt0( Y, Z ) }.
% 4.36/4.79 (13949) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 4.36/4.79 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 4.36/4.79 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 4.36/4.79 (13950) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 4.36/4.79 alpha2( X, Y, Z ) }.
% 4.36/4.79 (13951) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 4.36/4.79 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 4.36/4.79 (13952) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 4.36/4.79 sdtasdt0( X, Z ) }.
% 4.36/4.79 (13953) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 4.36/4.79 X, Y ), sdtasdt0( X, Z ) ) }.
% 4.36/4.79 (13954) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 4.36/4.79 sdtasdt0( Z, X ) }.
% 4.36/4.79 (13955) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 4.36/4.79 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 4.36/4.79 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 4.36/4.79 (13956) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.36/4.79 , ! sz10 = X }.
% 4.36/4.79 (13957) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 4.36/4.79 , sdtlseqdt0( sz10, X ) }.
% 4.36/4.79 (13958) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 4.36/4.79 (13959) {G0,W1,D1,L1,V0,M1} { && }.
% 4.36/4.79 (13960) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 4.36/4.79 (13961) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 4.36/4.79 (13962) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 4.36/4.79 (13963) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 4.36/4.79 }.
% 4.36/4.79 (13964) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 4.36/4.79 aNaturalNumber0( Z ) }.
% 4.36/4.79 (13965) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 4.36/4.79 ( X, Z ) }.
% 4.36/4.79 (13966) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 4.36/4.79 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 4.36/4.79 (13967) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.79 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 4.36/4.80 doDivides0( X, Z ) }.
% 4.36/4.80 (13968) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.80 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 4.36/4.80 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 4.36/4.80 (13969) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.80 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 4.36/4.80 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 4.36/4.80 (13970) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 4.36/4.80 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 4.36/4.80 (13971) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 4.36/4.80 (13972) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 4.36/4.80 (13973) {G0,W3,D2,L1,V0,M1} { ! xl = sz00 }.
% 4.36/4.80 (13974) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 4.36/4.80 (13975) {G0,W5,D3,L1,V0,M1} { xm = sdtasdt0( xl, skol3 ) }.
% 4.36/4.80 (13976) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 4.36/4.80 (13977) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 4.36/4.80 (13978) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 (13979) {G0,W7,D4,L1,V0,M1} { xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 (13980) {G0,W6,D4,L1,V0,M1} { aNaturalNumber0( sdtsldt0( sdtasdt0( xn, xm
% 4.36/4.80 ), xl ) ) }.
% 4.36/4.80 (13981) {G0,W11,D5,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xl, sdtsldt0
% 4.36/4.80 ( sdtasdt0( xn, xm ), xl ) ) }.
% 4.36/4.80 (13982) {G0,W15,D5,L1,V0,M1} { sdtasdt0( sdtasdt0( xl, xn ), sdtsldt0( xm
% 4.36/4.80 , xl ) ) = sdtasdt0( xl, sdtsldt0( sdtasdt0( xn, xm ), xl ) ) }.
% 4.36/4.80 (13983) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 (13984) {G0,W7,D4,L1,V0,M1} { xm = sdtasdt0( xl, sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 (13985) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xm ) = sdtasdt0( xl,
% 4.36/4.80 sdtasdt0( xn, sdtsldt0( xm, xl ) ) ) }.
% 4.36/4.80 (13986) {G0,W11,D4,L1,V0,M1} { ! sdtasdt0( xn, sdtsldt0( xm, xl ) ) =
% 4.36/4.80 sdtsldt0( sdtasdt0( xn, xm ), xl ) }.
% 4.36/4.80
% 4.36/4.80
% 4.36/4.80 Total Proof:
% 4.36/4.80
% 4.36/4.80 eqswap: (14003) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 4.36/4.80 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 4.36/4.80 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 4.36/4.80 parent0[3]: (13919) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 4.36/4.80 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y )
% 4.36/4.80 , Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 X := X
% 4.36/4.80 Y := Y
% 4.36/4.80 Z := Z
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 subsumption: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 4.36/4.80 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 4.36/4.80 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 4.36/4.80 parent0: (14003) {G0,W17,D4,L4,V3,M4} { sdtasdt0( X, sdtasdt0( Y, Z ) ) =
% 4.36/4.80 sdtasdt0( sdtasdt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 4.36/4.80 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 X := X
% 4.36/4.80 Y := Y
% 4.36/4.80 Z := Z
% 4.36/4.80 end
% 4.36/4.80 permutation0:
% 4.36/4.80 0 ==> 3
% 4.36/4.80 1 ==> 0
% 4.36/4.80 2 ==> 1
% 4.36/4.80 3 ==> 2
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 subsumption: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 4.36/4.80 parent0: (13971) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 permutation0:
% 4.36/4.80 0 ==> 0
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 subsumption: (68) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 4.36/4.80 parent0: (13977) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 permutation0:
% 4.36/4.80 0 ==> 0
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 subsumption: (69) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xm, xl
% 4.36/4.80 ) ) }.
% 4.36/4.80 parent0: (13978) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xm, xl )
% 4.36/4.80 ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 permutation0:
% 4.36/4.80 0 ==> 0
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 eqswap: (15543) {G0,W11,D5,L1,V0,M1} { sdtasdt0( xl, sdtsldt0( sdtasdt0(
% 4.36/4.80 xn, xm ), xl ) ) = sdtasdt0( xn, xm ) }.
% 4.36/4.80 parent0[0]: (13981) {G0,W11,D5,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0(
% 4.36/4.80 xl, sdtsldt0( sdtasdt0( xn, xm ), xl ) ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 subsumption: (72) {G0,W11,D5,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( sdtasdt0
% 4.36/4.80 ( xn, xm ), xl ) ) ==> sdtasdt0( xn, xm ) }.
% 4.36/4.80 parent0: (15543) {G0,W11,D5,L1,V0,M1} { sdtasdt0( xl, sdtsldt0( sdtasdt0(
% 4.36/4.80 xn, xm ), xl ) ) = sdtasdt0( xn, xm ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 permutation0:
% 4.36/4.80 0 ==> 0
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 paramod: (16012) {G1,W11,D4,L1,V0,M1} { sdtasdt0( sdtasdt0( xl, xn ),
% 4.36/4.80 sdtsldt0( xm, xl ) ) = sdtasdt0( xn, xm ) }.
% 4.36/4.80 parent0[0]: (72) {G0,W11,D5,L1,V0,M1} I { sdtasdt0( xl, sdtsldt0( sdtasdt0
% 4.36/4.80 ( xn, xm ), xl ) ) ==> sdtasdt0( xn, xm ) }.
% 4.36/4.80 parent1[0; 8]: (13982) {G0,W15,D5,L1,V0,M1} { sdtasdt0( sdtasdt0( xl, xn )
% 4.36/4.80 , sdtsldt0( xm, xl ) ) = sdtasdt0( xl, sdtsldt0( sdtasdt0( xn, xm ), xl )
% 4.36/4.80 ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 substitution1:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 subsumption: (73) {G1,W11,D4,L1,V0,M1} I;d(72) { sdtasdt0( sdtasdt0( xl, xn
% 4.36/4.80 ), sdtsldt0( xm, xl ) ) ==> sdtasdt0( xn, xm ) }.
% 4.36/4.80 parent0: (16012) {G1,W11,D4,L1,V0,M1} { sdtasdt0( sdtasdt0( xl, xn ),
% 4.36/4.80 sdtsldt0( xm, xl ) ) = sdtasdt0( xn, xm ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 permutation0:
% 4.36/4.80 0 ==> 0
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 eqswap: (16401) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xl, sdtasdt0( xn,
% 4.36/4.80 sdtsldt0( xm, xl ) ) ) = sdtasdt0( xn, xm ) }.
% 4.36/4.80 parent0[0]: (13985) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xm ) = sdtasdt0
% 4.36/4.80 ( xl, sdtasdt0( xn, sdtsldt0( xm, xl ) ) ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 subsumption: (74) {G0,W11,D5,L1,V0,M1} I { ! sdtasdt0( xl, sdtasdt0( xn,
% 4.36/4.80 sdtsldt0( xm, xl ) ) ) ==> sdtasdt0( xn, xm ) }.
% 4.36/4.80 parent0: (16401) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xl, sdtasdt0( xn,
% 4.36/4.80 sdtsldt0( xm, xl ) ) ) = sdtasdt0( xn, xm ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 permutation0:
% 4.36/4.80 0 ==> 0
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 eqswap: (16403) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xm ) ==> sdtasdt0(
% 4.36/4.80 xl, sdtasdt0( xn, sdtsldt0( xm, xl ) ) ) }.
% 4.36/4.80 parent0[0]: (74) {G0,W11,D5,L1,V0,M1} I { ! sdtasdt0( xl, sdtasdt0( xn,
% 4.36/4.80 sdtsldt0( xm, xl ) ) ) ==> sdtasdt0( xn, xm ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 paramod: (16405) {G1,W19,D4,L4,V0,M4} { ! sdtasdt0( xn, xm ) ==> sdtasdt0
% 4.36/4.80 ( sdtasdt0( xl, xn ), sdtsldt0( xm, xl ) ), ! aNaturalNumber0( xl ), !
% 4.36/4.80 aNaturalNumber0( xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 parent0[3]: (11) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 4.36/4.80 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtasdt0( Y, Z
% 4.36/4.80 ) ) ==> sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 4.36/4.80 parent1[0; 5]: (16403) {G0,W11,D5,L1,V0,M1} { ! sdtasdt0( xn, xm ) ==>
% 4.36/4.80 sdtasdt0( xl, sdtasdt0( xn, sdtsldt0( xm, xl ) ) ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 X := xl
% 4.36/4.80 Y := xn
% 4.36/4.80 Z := sdtsldt0( xm, xl )
% 4.36/4.80 end
% 4.36/4.80 substitution1:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 paramod: (16406) {G2,W15,D3,L4,V0,M4} { ! sdtasdt0( xn, xm ) ==> sdtasdt0
% 4.36/4.80 ( xn, xm ), ! aNaturalNumber0( xl ), ! aNaturalNumber0( xn ), !
% 4.36/4.80 aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 parent0[0]: (73) {G1,W11,D4,L1,V0,M1} I;d(72) { sdtasdt0( sdtasdt0( xl, xn
% 4.36/4.80 ), sdtsldt0( xm, xl ) ) ==> sdtasdt0( xn, xm ) }.
% 4.36/4.80 parent1[0; 5]: (16405) {G1,W19,D4,L4,V0,M4} { ! sdtasdt0( xn, xm ) ==>
% 4.36/4.80 sdtasdt0( sdtasdt0( xl, xn ), sdtsldt0( xm, xl ) ), ! aNaturalNumber0( xl
% 4.36/4.80 ), ! aNaturalNumber0( xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 substitution1:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 eqrefl: (16407) {G0,W8,D3,L3,V0,M3} { ! aNaturalNumber0( xl ), !
% 4.36/4.80 aNaturalNumber0( xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 parent0[0]: (16406) {G2,W15,D3,L4,V0,M4} { ! sdtasdt0( xn, xm ) ==>
% 4.36/4.80 sdtasdt0( xn, xm ), ! aNaturalNumber0( xl ), ! aNaturalNumber0( xn ), !
% 4.36/4.80 aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 resolution: (16408) {G1,W6,D3,L2,V0,M2} { ! aNaturalNumber0( xn ), !
% 4.36/4.80 aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 parent0[0]: (16407) {G0,W8,D3,L3,V0,M3} { ! aNaturalNumber0( xl ), !
% 4.36/4.80 aNaturalNumber0( xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xl ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 substitution1:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 subsumption: (11550) {G2,W6,D3,L2,V0,M2} P(11,74);d(73);q;r(62) { !
% 4.36/4.80 aNaturalNumber0( xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 parent0: (16408) {G1,W6,D3,L2,V0,M2} { ! aNaturalNumber0( xn ), !
% 4.36/4.80 aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 permutation0:
% 4.36/4.80 0 ==> 0
% 4.36/4.80 1 ==> 1
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 resolution: (16409) {G1,W4,D3,L1,V0,M1} { ! aNaturalNumber0( sdtsldt0( xm
% 4.36/4.80 , xl ) ) }.
% 4.36/4.80 parent0[0]: (11550) {G2,W6,D3,L2,V0,M2} P(11,74);d(73);q;r(62) { !
% 4.36/4.80 aNaturalNumber0( xn ), ! aNaturalNumber0( sdtsldt0( xm, xl ) ) }.
% 4.36/4.80 parent1[0]: (68) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 substitution1:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 resolution: (16410) {G1,W0,D0,L0,V0,M0} { }.
% 4.36/4.80 parent0[0]: (16409) {G1,W4,D3,L1,V0,M1} { ! aNaturalNumber0( sdtsldt0( xm
% 4.36/4.80 , xl ) ) }.
% 4.36/4.80 parent1[0]: (69) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xm, xl
% 4.36/4.80 ) ) }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 substitution1:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 subsumption: (13906) {G3,W0,D0,L0,V0,M0} S(11550);r(68);r(69) { }.
% 4.36/4.80 parent0: (16410) {G1,W0,D0,L0,V0,M0} { }.
% 4.36/4.80 substitution0:
% 4.36/4.80 end
% 4.36/4.80 permutation0:
% 4.36/4.80 end
% 4.36/4.80
% 4.36/4.80 Proof check complete!
% 4.36/4.80
% 4.36/4.80 Memory use:
% 4.36/4.80
% 4.36/4.80 space for terms: 261396
% 4.36/4.80 space for clauses: 675188
% 4.36/4.80
% 4.36/4.80
% 4.36/4.80 clauses generated: 121992
% 4.36/4.80 clauses kept: 13907
% 4.36/4.80 clauses selected: 415
% 4.36/4.80 clauses deleted: 38
% 4.36/4.80 clauses inuse deleted: 13
% 4.36/4.80
% 4.36/4.80 subsentry: 284768
% 4.36/4.80 literals s-matched: 161560
% 4.36/4.80 literals matched: 130246
% 4.36/4.80 full subsumption: 88499
% 4.36/4.80
% 4.36/4.80 checksum: -604056128
% 4.36/4.80
% 4.36/4.80
% 4.36/4.80 Bliksem ended
%------------------------------------------------------------------------------