TSTP Solution File: NUM484+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM484+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 06:22:46 EDT 2022
% Result : Theorem 0.76s 1.09s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM484+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.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 : Thu Jul 7 13:49:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/1.09 *** allocated 10000 integers for termspace/termends
% 0.76/1.09 *** allocated 10000 integers for clauses
% 0.76/1.09 *** allocated 10000 integers for justifications
% 0.76/1.09 Bliksem 1.12
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 Automatic Strategy Selection
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 Clauses:
% 0.76/1.09
% 0.76/1.09 { && }.
% 0.76/1.09 { aNaturalNumber0( sz00 ) }.
% 0.76/1.09 { aNaturalNumber0( sz10 ) }.
% 0.76/1.09 { ! sz10 = sz00 }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.76/1.09 ( X, Y ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.76/1.09 ( X, Y ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.76/1.09 sdtpldt0( Y, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.09 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.76/1.09 sdtasdt0( Y, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.09 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.76/1.09 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.09 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.76/1.09 , Z ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.09 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.76/1.09 , X ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.09 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.09 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.76/1.09 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.76/1.09 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.76/1.09 , X = sz00 }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.76/1.09 , Y = sz00 }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.76/1.09 , X = sz00, Y = sz00 }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.76/1.09 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.76/1.09 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.09 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.76/1.09 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.76/1.09 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.76/1.09 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.76/1.09 sdtlseqdt0( Y, X ), X = Y }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.09 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.76/1.09 X }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.76/1.09 sdtlseqdt0( Y, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.76/1.09 ) ) }.
% 0.76/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.76/1.09 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.76/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.76/1.09 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.76/1.09 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.76/1.09 ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.76/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.76/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.76/1.09 sdtasdt0( Z, X ) ) }.
% 0.76/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.76/1.09 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.76/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.76/1.09 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.76/1.09 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.76/1.09 ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.76/1.09 sdtasdt0( Y, X ) ) }.
% 0.76/1.09 { && }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.76/1.09 ), iLess0( X, Y ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.76/1.09 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.76/1.09 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.09 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.76/1.09 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.76/1.09 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.76/1.09 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.76/1.09 ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.09 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.09 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.76/1.09 ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.09 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.76/1.09 Z ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.76/1.09 sz00, sdtlseqdt0( X, Y ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.76/1.09 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.76/1.09 ( sdtasdt0( Z, Y ), X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.76/1.09 { ! alpha1( X ), ! X = sz10 }.
% 0.76/1.09 { ! alpha1( X ), alpha2( X ) }.
% 0.76/1.09 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.76/1.09 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.76/1.09 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.76/1.09 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.76/1.09 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.76/1.09 { ! Y = sz10, alpha4( X, Y ) }.
% 0.76/1.09 { ! Y = X, alpha4( X, Y ) }.
% 0.76/1.09 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.76/1.09 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.09 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.76/1.09 { aNaturalNumber0( xk ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! iLess0( X, xk ),
% 0.76/1.09 aNaturalNumber0( skol4( Y ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! iLess0( X, xk ), isPrime0(
% 0.76/1.09 skol4( Y ) ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! iLess0( X, xk ), doDivides0
% 0.76/1.09 ( skol4( X ), X ) }.
% 0.76/1.09 { ! xk = sz00 }.
% 0.76/1.09 { ! xk = sz10 }.
% 0.76/1.09 { ! isPrime0( xk ) }.
% 0.76/1.09 { isPrime0( xk ) }.
% 0.76/1.09 { ! aNaturalNumber0( X ), ! doDivides0( X, xk ), ! isPrime0( X ) }.
% 0.76/1.09
% 0.76/1.09 percentage equality = 0.283439, percentage horn = 0.701149
% 0.76/1.09 This is a problem with some equality
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 Options Used:
% 0.76/1.09
% 0.76/1.09 useres = 1
% 0.76/1.09 useparamod = 1
% 0.76/1.09 useeqrefl = 1
% 0.76/1.09 useeqfact = 1
% 0.76/1.09 usefactor = 1
% 0.76/1.09 usesimpsplitting = 0
% 0.76/1.09 usesimpdemod = 5
% 0.76/1.09 usesimpres = 3
% 0.76/1.09
% 0.76/1.09 resimpinuse = 1000
% 0.76/1.09 resimpclauses = 20000
% 0.76/1.09 substype = eqrewr
% 0.76/1.09 backwardsubs = 1
% 0.76/1.09 selectoldest = 5
% 0.76/1.09
% 0.76/1.09 litorderings [0] = split
% 0.76/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.09
% 0.76/1.09 termordering = kbo
% 0.76/1.09
% 0.76/1.09 litapriori = 0
% 0.76/1.09 termapriori = 1
% 0.76/1.09 litaposteriori = 0
% 0.76/1.09 termaposteriori = 0
% 0.76/1.09 demodaposteriori = 0
% 0.76/1.09 ordereqreflfact = 0
% 0.76/1.09
% 0.76/1.09 litselect = negord
% 0.76/1.09
% 0.76/1.09 maxweight = 15
% 0.76/1.09 maxdepth = 30000
% 0.76/1.09 maxlength = 115
% 0.76/1.09 maxnrvars = 195
% 0.76/1.09 excuselevel = 1
% 0.76/1.09 increasemaxweight = 1
% 0.76/1.09
% 0.76/1.09 maxselected = 10000000
% 0.76/1.09 maxnrclauses = 10000000
% 0.76/1.09
% 0.76/1.09 showgenerated = 0
% 0.76/1.09 showkept = 0
% 0.76/1.09 showselected = 0
% 0.76/1.09 showdeleted = 0
% 0.76/1.09 showresimp = 1
% 0.76/1.09 showstatus = 2000
% 0.76/1.09
% 0.76/1.09 prologoutput = 0
% 0.76/1.09 nrgoals = 5000000
% 0.76/1.09 totalproof = 1
% 0.76/1.09
% 0.76/1.09 Symbols occurring in the translation:
% 0.76/1.09
% 0.76/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.09 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.76/1.09 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.76/1.09 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.76/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.09 aNaturalNumber0 [36, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.76/1.09 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.76/1.09 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.76/1.09 sdtpldt0 [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.09 sdtasdt0 [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.76/1.09 sdtlseqdt0 [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.76/1.09 sdtmndt0 [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.76/1.09 iLess0 [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.76/1.09 doDivides0 [46, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.76/1.09 sdtsldt0 [47, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.76/1.09 isPrime0 [48, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.76/1.09 xk [49, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.76/1.09 alpha1 [50, 1] (w:1, o:19, a:1, s:1, b:1),
% 0.76/1.09 alpha2 [51, 1] (w:1, o:20, a:1, s:1, b:1),
% 0.76/1.09 alpha3 [52, 2] (w:1, o:54, a:1, s:1, b:1),
% 0.76/1.09 alpha4 [53, 2] (w:1, o:55, a:1, s:1, b:1),
% 0.76/1.09 alpha5 [54, 3] (w:1, o:58, a:1, s:1, b:1),
% 0.76/1.09 alpha6 [55, 3] (w:1, o:59, a:1, s:1, b:1),
% 0.76/1.09 skol1 [56, 2] (w:1, o:56, a:1, s:1, b:1),
% 0.76/1.09 skol2 [57, 2] (w:1, o:57, a:1, s:1, b:1),
% 0.76/1.09 skol3 [58, 1] (w:1, o:21, a:1, s:1, b:1),
% 0.76/1.09 skol4 [59, 1] (w:1, o:22, a:1, s:1, b:1).
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 Starting Search:
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 Bliksems!, er is een bewijs:
% 0.76/1.09 % SZS status Theorem
% 0.76/1.09 % SZS output start Refutation
% 0.76/1.09
% 0.76/1.09 (84) {G0,W2,D2,L1,V0,M1} I { ! isPrime0( xk ) }.
% 0.76/1.09 (85) {G1,W0,D0,L0,V0,M0} I;r(84) { }.
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 % SZS output end Refutation
% 0.76/1.09 found a proof!
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 Unprocessed initial clauses:
% 0.76/1.09
% 0.76/1.09 (87) {G0,W1,D1,L1,V0,M1} { && }.
% 0.76/1.09 (88) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.76/1.09 (89) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 0.76/1.09 (90) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 0.76/1.09 (91) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.76/1.09 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.76/1.09 (92) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.76/1.09 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.76/1.09 (93) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.76/1.09 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.76/1.09 (94) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.76/1.09 , ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X,
% 0.76/1.09 sdtpldt0( Y, Z ) ) }.
% 0.76/1.09 (95) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X
% 0.76/1.09 }.
% 0.76/1.09 (96) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X )
% 0.76/1.09 }.
% 0.76/1.09 (97) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.76/1.09 , sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.76/1.09 (98) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.76/1.09 , ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X,
% 0.76/1.09 sdtasdt0( Y, Z ) ) }.
% 0.76/1.09 (99) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X
% 0.76/1.09 }.
% 0.76/1.09 (100) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.76/1.09 ) }.
% 0.76/1.09 (101) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.76/1.09 sz00 }.
% 0.76/1.09 (102) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.76/1.09 , X ) }.
% 0.76/1.09 (103) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 0.76/1.09 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.76/1.09 (104) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 0.76/1.09 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.76/1.09 (105) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.76/1.09 }.
% 0.76/1.09 (106) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 0.76/1.09 }.
% 0.76/1.09 (107) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.76/1.09 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 0.76/1.09 sdtasdt0( X, Z ), Y = Z }.
% 0.76/1.09 (108) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.76/1.09 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 0.76/1.09 sdtasdt0( Z, X ), Y = Z }.
% 0.76/1.09 (109) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 0.76/1.09 (110) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 0.76/1.09 (111) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.76/1.09 (112) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 0.76/1.09 (113) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.76/1.09 (114) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.76/1.09 }.
% 0.76/1.09 (115) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 0.76/1.09 }.
% 0.76/1.09 (116) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 0.76/1.09 }.
% 0.76/1.09 (117) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 0.76/1.09 , Z = sdtmndt0( Y, X ) }.
% 0.76/1.09 (118) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.76/1.09 (119) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.76/1.09 (120) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 0.76/1.09 sdtlseqdt0( X, Z ) }.
% 0.76/1.09 (121) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 0.76/1.09 (122) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.76/1.09 (123) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 0.76/1.09 ) }.
% 0.76/1.09 (124) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 0.76/1.09 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 0.76/1.09 (125) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 0.76/1.09 sdtpldt0( Z, Y ) }.
% 0.76/1.09 (126) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 0.76/1.09 , X ), sdtpldt0( Z, Y ) ) }.
% 0.76/1.09 (127) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 0.76/1.09 sdtpldt0( Y, Z ) }.
% 0.76/1.09 (128) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 0.76/1.09 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 0.76/1.09 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 0.76/1.09 (129) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6
% 0.76/1.09 ( X, Y, Z ) }.
% 0.76/1.09 (130) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 0.76/1.09 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.76/1.09 (131) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 0.76/1.09 sdtasdt0( X, Z ) }.
% 0.76/1.09 (132) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 0.76/1.09 , Y ), sdtasdt0( X, Z ) ) }.
% 0.76/1.09 (133) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 0.76/1.09 sdtasdt0( Z, X ) }.
% 0.76/1.09 (134) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 0.76/1.09 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 0.76/1.09 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 0.76/1.09 (135) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 0.76/1.09 sz10 = X }.
% 0.76/1.09 (136) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.76/1.09 sdtlseqdt0( sz10, X ) }.
% 0.76/1.09 (137) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 0.76/1.09 (138) {G0,W1,D1,L1,V0,M1} { && }.
% 0.76/1.09 (139) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 0.76/1.09 (140) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 0.76/1.09 (141) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 0.76/1.09 (142) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 0.76/1.09 }.
% 0.76/1.09 (143) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 0.76/1.09 aNaturalNumber0( Z ) }.
% 0.76/1.09 (144) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 0.76/1.09 ( X, Z ) }.
% 0.76/1.09 (145) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 0.76/1.09 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 0.76/1.09 (146) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 0.76/1.09 doDivides0( X, Z ) }.
% 0.76/1.09 (147) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 0.76/1.09 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 0.76/1.09 (148) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 0.76/1.09 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 0.76/1.09 (149) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 0.76/1.09 (150) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.09 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z,
% 0.76/1.09 sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 0.76/1.09 (151) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X =
% 0.76/1.09 sz00 }.
% 0.76/1.09 (152) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 0.76/1.09 alpha1( X ) }.
% 0.76/1.09 (153) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X
% 0.76/1.09 ), isPrime0( X ) }.
% 0.76/1.09 (154) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 0.76/1.09 (155) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.76/1.09 (156) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.76/1.09 (157) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y
% 0.76/1.09 ) }.
% 0.76/1.09 (158) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.76/1.09 (159) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.76/1.09 (160) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.76/1.09 (161) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 0.76/1.09 (162) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 0.76/1.09 (163) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.76/1.09 (164) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.09 (165) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ),
% 0.76/1.09 alpha3( X, Y ) }.
% 0.76/1.09 (166) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 0.76/1.09 (167) {G0,W14,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 0.76/1.09 iLess0( X, xk ), aNaturalNumber0( skol4( Y ) ) }.
% 0.76/1.09 (168) {G0,W14,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 0.76/1.10 iLess0( X, xk ), isPrime0( skol4( Y ) ) }.
% 0.76/1.10 (169) {G0,W15,D3,L5,V1,M5} { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 0.76/1.10 iLess0( X, xk ), doDivides0( skol4( X ), X ) }.
% 0.76/1.10 (170) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 0.76/1.10 (171) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 0.76/1.10 (172) {G0,W2,D2,L1,V0,M1} { ! isPrime0( xk ) }.
% 0.76/1.10 (173) {G0,W2,D2,L1,V0,M1} { isPrime0( xk ) }.
% 0.76/1.10 (174) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! doDivides0( X, xk )
% 0.76/1.10 , ! isPrime0( X ) }.
% 0.76/1.10
% 0.76/1.10
% 0.76/1.10 Total Proof:
% 0.76/1.10
% 0.76/1.10 *** allocated 15000 integers for clauses
% 0.76/1.10 *** allocated 15000 integers for termspace/termends
% 0.76/1.10 *** allocated 22500 integers for clauses
% 0.76/1.10 subsumption: (84) {G0,W2,D2,L1,V0,M1} I { ! isPrime0( xk ) }.
% 0.76/1.10 parent0: (172) {G0,W2,D2,L1,V0,M1} { ! isPrime0( xk ) }.
% 0.76/1.10 substitution0:
% 0.76/1.10 end
% 0.76/1.10 permutation0:
% 0.76/1.10 0 ==> 0
% 0.76/1.10 end
% 0.76/1.10
% 0.76/1.10 *** allocated 22500 integers for termspace/termends
% 0.76/1.10 *** allocated 33750 integers for clauses
% 0.76/1.10 resolution: (1025) {G1,W0,D0,L0,V0,M0} { }.
% 0.76/1.10 parent0[0]: (84) {G0,W2,D2,L1,V0,M1} I { ! isPrime0( xk ) }.
% 0.76/1.10 parent1[0]: (173) {G0,W2,D2,L1,V0,M1} { isPrime0( xk ) }.
% 0.76/1.10 substitution0:
% 0.76/1.10 end
% 0.76/1.10 substitution1:
% 0.76/1.10 end
% 0.76/1.10
% 0.76/1.10 subsumption: (85) {G1,W0,D0,L0,V0,M0} I;r(84) { }.
% 0.76/1.10 parent0: (1025) {G1,W0,D0,L0,V0,M0} { }.
% 0.76/1.10 substitution0:
% 0.76/1.10 end
% 0.76/1.10 permutation0:
% 0.76/1.10 end
% 0.76/1.10
% 0.76/1.10 Proof check complete!
% 0.76/1.10
% 0.76/1.10 Memory use:
% 0.76/1.10
% 0.76/1.10 space for terms: 3745
% 0.76/1.10 space for clauses: 4650
% 0.76/1.10
% 0.76/1.10
% 0.76/1.10 clauses generated: 87
% 0.76/1.10 clauses kept: 86
% 0.76/1.10 clauses selected: 0
% 0.76/1.10 clauses deleted: 0
% 0.76/1.10 clauses inuse deleted: 0
% 0.76/1.10
% 0.76/1.10 subsentry: 5681
% 0.76/1.10 literals s-matched: 2070
% 0.76/1.10 literals matched: 1588
% 0.76/1.10 full subsumption: 743
% 0.76/1.10
% 0.76/1.10 checksum: 988246589
% 0.76/1.10
% 0.76/1.10
% 0.76/1.10 Bliksem ended
%------------------------------------------------------------------------------