TSTP Solution File: NUM472+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM472+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 06:22:37 EDT 2022
% Result : Theorem 0.87s 1.32s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM472+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.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 10:04:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.07 *** allocated 10000 integers for termspace/termends
% 0.68/1.07 *** allocated 10000 integers for clauses
% 0.68/1.07 *** allocated 10000 integers for justifications
% 0.68/1.07 Bliksem 1.12
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Automatic Strategy Selection
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Clauses:
% 0.68/1.07
% 0.68/1.07 { && }.
% 0.68/1.07 { aNaturalNumber0( sz00 ) }.
% 0.68/1.07 { aNaturalNumber0( sz10 ) }.
% 0.68/1.07 { ! sz10 = sz00 }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.68/1.07 ( X, Y ) ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.68/1.07 ( X, Y ) ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.68/1.07 sdtpldt0( Y, X ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.07 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.68/1.07 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.68/1.07 sdtasdt0( Y, X ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.07 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.68/1.07 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.68/1.07 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.07 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.68/1.07 , Z ) ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.07 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.68/1.07 , X ) ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.07 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.07 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.68/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.68/1.07 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.68/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.68/1.07 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.68/1.07 , X = sz00 }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.68/1.07 , Y = sz00 }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.68/1.07 , X = sz00, Y = sz00 }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.68/1.07 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.68/1.07 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.07 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.68/1.07 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.68/1.07 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.68/1.07 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.68/1.07 sdtlseqdt0( Y, X ), X = Y }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.07 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.68/1.07 X }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.68/1.07 sdtlseqdt0( Y, X ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.68/1.07 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 0.68/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.68/1.07 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.68/1.07 ) ) }.
% 0.68/1.07 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.68/1.07 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.68/1.07 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.87/1.32 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.87/1.32 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 0.87/1.32 ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.87/1.32 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.87/1.32 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.87/1.32 sdtasdt0( Z, X ) ) }.
% 0.87/1.32 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.87/1.32 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.87/1.32 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.87/1.32 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.87/1.32 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 0.87/1.32 ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.87/1.32 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.87/1.32 sdtasdt0( Y, X ) ) }.
% 0.87/1.32 { && }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.87/1.32 ), iLess0( X, Y ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.87/1.32 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.87/1.32 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.87/1.32 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.87/1.32 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.87/1.32 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.87/1.32 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.87/1.32 ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.87/1.32 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.87/1.32 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.87/1.32 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.87/1.32 ) ) }.
% 0.87/1.32 { aNaturalNumber0( xl ) }.
% 0.87/1.32 { aNaturalNumber0( xm ) }.
% 0.87/1.32 { aNaturalNumber0( xn ) }.
% 0.87/1.32 { doDivides0( xl, xm ) }.
% 0.87/1.32 { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 0.87/1.32 { ! xl = sz00 }.
% 0.87/1.32 { xp = sdtsldt0( xm, xl ) }.
% 0.87/1.32 { xq = sdtsldt0( sdtpldt0( xm, xn ), xl ) }.
% 0.87/1.32 { ! sdtlseqdt0( xm, sdtpldt0( xm, xn ) ) }.
% 0.87/1.32
% 0.87/1.32 percentage equality = 0.297959, percentage horn = 0.753623
% 0.87/1.32 This is a problem with some equality
% 0.87/1.32
% 0.87/1.32
% 0.87/1.32
% 0.87/1.32 Options Used:
% 0.87/1.32
% 0.87/1.32 useres = 1
% 0.87/1.32 useparamod = 1
% 0.87/1.32 useeqrefl = 1
% 0.87/1.32 useeqfact = 1
% 0.87/1.32 usefactor = 1
% 0.87/1.32 usesimpsplitting = 0
% 0.87/1.32 usesimpdemod = 5
% 0.87/1.32 usesimpres = 3
% 0.87/1.32
% 0.87/1.32 resimpinuse = 1000
% 0.87/1.32 resimpclauses = 20000
% 0.87/1.32 substype = eqrewr
% 0.87/1.32 backwardsubs = 1
% 0.87/1.32 selectoldest = 5
% 0.87/1.32
% 0.87/1.32 litorderings [0] = split
% 0.87/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.32
% 0.87/1.32 termordering = kbo
% 0.87/1.32
% 0.87/1.32 litapriori = 0
% 0.87/1.32 termapriori = 1
% 0.87/1.32 litaposteriori = 0
% 0.87/1.32 termaposteriori = 0
% 0.87/1.32 demodaposteriori = 0
% 0.87/1.32 ordereqreflfact = 0
% 0.87/1.32
% 0.87/1.32 litselect = negord
% 0.87/1.32
% 0.87/1.32 maxweight = 15
% 0.87/1.32 maxdepth = 30000
% 0.87/1.32 maxlength = 115
% 0.87/1.32 maxnrvars = 195
% 0.87/1.32 excuselevel = 1
% 0.87/1.32 increasemaxweight = 1
% 0.87/1.32
% 0.87/1.32 maxselected = 10000000
% 0.87/1.32 maxnrclauses = 10000000
% 0.87/1.32
% 0.87/1.32 showgenerated = 0
% 0.87/1.32 showkept = 0
% 0.87/1.32 showselected = 0
% 0.87/1.32 showdeleted = 0
% 0.87/1.32 showresimp = 1
% 0.87/1.32 showstatus = 2000
% 0.87/1.32
% 0.87/1.32 prologoutput = 0
% 0.87/1.32 nrgoals = 5000000
% 0.87/1.32 totalproof = 1
% 0.87/1.32
% 0.87/1.32 Symbols occurring in the translation:
% 0.87/1.32
% 0.87/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.32 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.87/1.32 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.87/1.32 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.87/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.32 aNaturalNumber0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.87/1.32 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.87/1.32 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.87/1.32 sdtpldt0 [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.87/1.32 sdtasdt0 [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.87/1.32 sdtlseqdt0 [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.87/1.32 sdtmndt0 [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.87/1.32 iLess0 [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.87/1.32 doDivides0 [46, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.87/1.32 sdtsldt0 [47, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.87/1.32 xl [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.87/1.32 xm [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.87/1.32 xn [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.87/1.32 xp [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.87/1.32 xq [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.87/1.32 alpha1 [53, 3] (w:1, o:55, a:1, s:1, b:1),
% 0.87/1.32 alpha2 [54, 3] (w:1, o:56, a:1, s:1, b:1),
% 0.87/1.32 skol1 [55, 2] (w:1, o:53, a:1, s:1, b:1),
% 0.87/1.32 skol2 [56, 2] (w:1, o:54, a:1, s:1, b:1).
% 0.87/1.32
% 0.87/1.32
% 0.87/1.32 Starting Search:
% 0.87/1.32
% 0.87/1.32 *** allocated 15000 integers for clauses
% 0.87/1.32 *** allocated 22500 integers for clauses
% 0.87/1.32 *** allocated 33750 integers for clauses
% 0.87/1.32 *** allocated 50625 integers for clauses
% 0.87/1.32 *** allocated 15000 integers for termspace/termends
% 0.87/1.32 *** allocated 75937 integers for clauses
% 0.87/1.32 *** allocated 22500 integers for termspace/termends
% 0.87/1.32 Resimplifying inuse:
% 0.87/1.32 Done
% 0.87/1.32
% 0.87/1.32 *** allocated 113905 integers for clauses
% 0.87/1.32 *** allocated 33750 integers for termspace/termends
% 0.87/1.32 *** allocated 170857 integers for clauses
% 0.87/1.32
% 0.87/1.32 Intermediate Status:
% 0.87/1.32 Generated: 10408
% 0.87/1.32 Kept: 2005
% 0.87/1.32 Inuse: 107
% 0.87/1.32 Deleted: 6
% 0.87/1.32 Deletedinuse: 5
% 0.87/1.32
% 0.87/1.32 Resimplifying inuse:
% 0.87/1.32 Done
% 0.87/1.32
% 0.87/1.32 *** allocated 50625 integers for termspace/termends
% 0.87/1.32
% 0.87/1.32 Bliksems!, er is een bewijs:
% 0.87/1.32 % SZS status Theorem
% 0.87/1.32 % SZS output start Refutation
% 0.87/1.32
% 0.87/1.32 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.87/1.32 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.87/1.32 (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.87/1.32 }.
% 0.87/1.32 (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.87/1.32 (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 0.87/1.32 (68) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xm, sdtpldt0( xm, xn ) ) }.
% 0.87/1.32 (198) {G1,W6,D3,L2,V1,M2} R(4,61) { ! aNaturalNumber0( X ), aNaturalNumber0
% 0.87/1.32 ( sdtpldt0( xm, X ) ) }.
% 0.87/1.32 (2776) {G1,W13,D3,L3,V1,M3} R(27,68);r(61) { ! aNaturalNumber0( sdtpldt0(
% 0.87/1.32 xm, xn ) ), ! aNaturalNumber0( X ), ! sdtpldt0( xm, X ) = sdtpldt0( xm,
% 0.87/1.32 xn ) }.
% 0.87/1.32 (2833) {G2,W2,D2,L1,V0,M1} Q(2776);r(198) { ! aNaturalNumber0( xn ) }.
% 0.87/1.32 (2869) {G3,W0,D0,L0,V0,M0} S(2833);r(62) { }.
% 0.87/1.32
% 0.87/1.32
% 0.87/1.32 % SZS output end Refutation
% 0.87/1.32 found a proof!
% 0.87/1.32
% 0.87/1.32
% 0.87/1.32 Unprocessed initial clauses:
% 0.87/1.32
% 0.87/1.32 (2871) {G0,W1,D1,L1,V0,M1} { && }.
% 0.87/1.32 (2872) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.87/1.32 (2873) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 0.87/1.32 (2874) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 0.87/1.32 (2875) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.87/1.32 (2876) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.87/1.32 (2877) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.87/1.32 (2878) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 0.87/1.32 , sdtpldt0( Y, Z ) ) }.
% 0.87/1.32 (2879) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 0.87/1.32 X }.
% 0.87/1.32 (2880) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 0.87/1.32 ) }.
% 0.87/1.32 (2881) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.87/1.32 (2882) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 0.87/1.32 , sdtasdt0( Y, Z ) ) }.
% 0.87/1.32 (2883) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 0.87/1.32 X }.
% 0.87/1.32 (2884) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.87/1.32 ) }.
% 0.87/1.32 (2885) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.87/1.32 sz00 }.
% 0.87/1.32 (2886) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.87/1.32 , X ) }.
% 0.87/1.32 (2887) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 0.87/1.32 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.87/1.32 (2888) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 0.87/1.32 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.87/1.32 (2889) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.87/1.32 }.
% 0.87/1.32 (2890) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 0.87/1.32 }.
% 0.87/1.32 (2891) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.87/1.32 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 0.87/1.32 sdtasdt0( X, Z ), Y = Z }.
% 0.87/1.32 (2892) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.87/1.32 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 0.87/1.32 sdtasdt0( Z, X ), Y = Z }.
% 0.87/1.32 (2893) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 0.87/1.32 (2894) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 0.87/1.32 (2895) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.87/1.32 (2896) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 0.87/1.32 (2897) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.87/1.32 (2898) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.87/1.32 }.
% 0.87/1.32 (2899) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 0.87/1.32 }.
% 0.87/1.32 (2900) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 0.87/1.32 }.
% 0.87/1.32 (2901) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 0.87/1.32 , Z = sdtmndt0( Y, X ) }.
% 0.87/1.32 (2902) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 0.87/1.32 }.
% 0.87/1.32 (2903) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.87/1.32 (2904) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 0.87/1.32 sdtlseqdt0( X, Z ) }.
% 0.87/1.32 (2905) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 0.87/1.32 (2906) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.87/1.32 (2907) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 0.87/1.32 ) }.
% 0.87/1.32 (2908) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 0.87/1.32 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 0.87/1.32 (2909) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 0.87/1.32 sdtpldt0( Z, Y ) }.
% 0.87/1.32 (2910) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 0.87/1.32 , X ), sdtpldt0( Z, Y ) ) }.
% 0.87/1.32 (2911) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 0.87/1.32 sdtpldt0( Y, Z ) }.
% 0.87/1.32 (2912) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 0.87/1.32 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 0.87/1.32 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 0.87/1.32 (2913) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2
% 0.87/1.32 ( X, Y, Z ) }.
% 0.87/1.32 (2914) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.87/1.32 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 0.87/1.32 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.87/1.32 (2915) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 0.96/1.33 sdtasdt0( X, Z ) }.
% 0.96/1.33 (2916) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 0.96/1.33 , Y ), sdtasdt0( X, Z ) ) }.
% 0.96/1.33 (2917) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 0.96/1.33 sdtasdt0( Z, X ) }.
% 0.96/1.33 (2918) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 0.96/1.33 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 0.96/1.33 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 0.96/1.33 (2919) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.96/1.33 ! sz10 = X }.
% 0.96/1.33 (2920) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.96/1.33 sdtlseqdt0( sz10, X ) }.
% 0.96/1.33 (2921) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 0.96/1.33 (2922) {G0,W1,D1,L1,V0,M1} { && }.
% 0.96/1.33 (2923) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 0.96/1.33 (2924) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 0.96/1.33 (2925) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 0.96/1.33 (2926) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 0.96/1.33 }.
% 0.96/1.33 (2927) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 0.96/1.33 aNaturalNumber0( Z ) }.
% 0.96/1.33 (2928) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 0.96/1.33 ( X, Z ) }.
% 0.96/1.33 (2929) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 0.96/1.33 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 0.96/1.33 (2930) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 0.96/1.33 doDivides0( X, Z ) }.
% 0.96/1.33 (2931) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.96/1.33 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 0.96/1.33 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 0.96/1.33 (2932) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 0.96/1.33 (2933) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 0.96/1.33 (2934) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 0.96/1.33 (2935) {G0,W3,D2,L1,V0,M1} { doDivides0( xl, xm ) }.
% 0.96/1.33 (2936) {G0,W5,D3,L1,V0,M1} { doDivides0( xl, sdtpldt0( xm, xn ) ) }.
% 0.96/1.33 (2937) {G0,W3,D2,L1,V0,M1} { ! xl = sz00 }.
% 0.96/1.33 (2938) {G0,W5,D3,L1,V0,M1} { xp = sdtsldt0( xm, xl ) }.
% 0.96/1.33 (2939) {G0,W7,D4,L1,V0,M1} { xq = sdtsldt0( sdtpldt0( xm, xn ), xl ) }.
% 0.96/1.33 (2940) {G0,W5,D3,L1,V0,M1} { ! sdtlseqdt0( xm, sdtpldt0( xm, xn ) ) }.
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Total Proof:
% 0.96/1.33
% 0.96/1.33 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 0.96/1.33 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.96/1.33 parent0: (2875) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 0.96/1.33 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := X
% 0.96/1.33 Y := Y
% 0.96/1.33 end
% 0.96/1.33 permutation0:
% 0.96/1.33 0 ==> 0
% 0.96/1.33 1 ==> 1
% 0.96/1.33 2 ==> 2
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 subsumption: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 0.96/1.33 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 0.96/1.33 sdtlseqdt0( X, Y ) }.
% 0.96/1.33 parent0: (2898) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 0.96/1.33 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 0.96/1.33 sdtlseqdt0( X, Y ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := X
% 0.96/1.33 Y := Y
% 0.96/1.33 Z := Z
% 0.96/1.33 end
% 0.96/1.33 permutation0:
% 0.96/1.33 0 ==> 0
% 0.96/1.33 1 ==> 1
% 0.96/1.33 2 ==> 2
% 0.96/1.33 3 ==> 3
% 0.96/1.33 4 ==> 4
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 *** allocated 256285 integers for clauses
% 0.96/1.33 *** allocated 75937 integers for termspace/termends
% 0.96/1.33 subsumption: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.96/1.33 parent0: (2933) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 end
% 0.96/1.33 permutation0:
% 0.96/1.33 0 ==> 0
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 subsumption: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 0.96/1.33 parent0: (2934) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 end
% 0.96/1.33 permutation0:
% 0.96/1.33 0 ==> 0
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 subsumption: (68) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xm, sdtpldt0( xm,
% 0.96/1.33 xn ) ) }.
% 0.96/1.33 parent0: (2940) {G0,W5,D3,L1,V0,M1} { ! sdtlseqdt0( xm, sdtpldt0( xm, xn )
% 0.96/1.33 ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 end
% 0.96/1.33 permutation0:
% 0.96/1.33 0 ==> 0
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 resolution: (4223) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 0.96/1.33 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 0.96/1.33 parent0[0]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 0.96/1.33 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.96/1.33 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := xm
% 0.96/1.33 Y := X
% 0.96/1.33 end
% 0.96/1.33 substitution1:
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 subsumption: (198) {G1,W6,D3,L2,V1,M2} R(4,61) { ! aNaturalNumber0( X ),
% 0.96/1.33 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 0.96/1.33 parent0: (4223) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 0.96/1.33 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := X
% 0.96/1.33 end
% 0.96/1.33 permutation0:
% 0.96/1.33 0 ==> 0
% 0.96/1.33 1 ==> 1
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 eqswap: (4225) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 0.96/1.33 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 0.96/1.33 sdtlseqdt0( X, Z ) }.
% 0.96/1.33 parent0[3]: (27) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 0.96/1.33 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y,
% 0.96/1.33 sdtlseqdt0( X, Y ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := X
% 0.96/1.33 Y := Z
% 0.96/1.33 Z := Y
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 resolution: (4226) {G1,W15,D3,L4,V1,M4} { ! sdtpldt0( xm, xn ) = sdtpldt0
% 0.96/1.33 ( xm, X ), ! aNaturalNumber0( xm ), ! aNaturalNumber0( sdtpldt0( xm, xn )
% 0.96/1.33 ), ! aNaturalNumber0( X ) }.
% 0.96/1.33 parent0[0]: (68) {G0,W5,D3,L1,V0,M1} I { ! sdtlseqdt0( xm, sdtpldt0( xm, xn
% 0.96/1.33 ) ) }.
% 0.96/1.33 parent1[4]: (4225) {G0,W14,D3,L5,V3,M5} { ! Z = sdtpldt0( X, Y ), !
% 0.96/1.33 aNaturalNumber0( X ), ! aNaturalNumber0( Z ), ! aNaturalNumber0( Y ),
% 0.96/1.33 sdtlseqdt0( X, Z ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 end
% 0.96/1.33 substitution1:
% 0.96/1.33 X := xm
% 0.96/1.33 Y := X
% 0.96/1.33 Z := sdtpldt0( xm, xn )
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 resolution: (4233) {G1,W13,D3,L3,V1,M3} { ! sdtpldt0( xm, xn ) = sdtpldt0
% 0.96/1.33 ( xm, X ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! aNaturalNumber0( X
% 0.96/1.33 ) }.
% 0.96/1.33 parent0[1]: (4226) {G1,W15,D3,L4,V1,M4} { ! sdtpldt0( xm, xn ) = sdtpldt0
% 0.96/1.33 ( xm, X ), ! aNaturalNumber0( xm ), ! aNaturalNumber0( sdtpldt0( xm, xn )
% 0.96/1.33 ), ! aNaturalNumber0( X ) }.
% 0.96/1.33 parent1[0]: (61) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := X
% 0.96/1.33 end
% 0.96/1.33 substitution1:
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 eqswap: (4234) {G1,W13,D3,L3,V1,M3} { ! sdtpldt0( xm, X ) = sdtpldt0( xm,
% 0.96/1.33 xn ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! aNaturalNumber0( X ) }.
% 0.96/1.33 parent0[0]: (4233) {G1,W13,D3,L3,V1,M3} { ! sdtpldt0( xm, xn ) = sdtpldt0
% 0.96/1.33 ( xm, X ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! aNaturalNumber0( X
% 0.96/1.33 ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := X
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 subsumption: (2776) {G1,W13,D3,L3,V1,M3} R(27,68);r(61) { ! aNaturalNumber0
% 0.96/1.33 ( sdtpldt0( xm, xn ) ), ! aNaturalNumber0( X ), ! sdtpldt0( xm, X ) =
% 0.96/1.33 sdtpldt0( xm, xn ) }.
% 0.96/1.33 parent0: (4234) {G1,W13,D3,L3,V1,M3} { ! sdtpldt0( xm, X ) = sdtpldt0( xm
% 0.96/1.33 , xn ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! aNaturalNumber0( X )
% 0.96/1.33 }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := X
% 0.96/1.33 end
% 0.96/1.33 permutation0:
% 0.96/1.33 0 ==> 2
% 0.96/1.33 1 ==> 0
% 0.96/1.33 2 ==> 1
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 eqswap: (4237) {G1,W13,D3,L3,V1,M3} { ! sdtpldt0( xm, xn ) = sdtpldt0( xm
% 0.96/1.33 , X ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! aNaturalNumber0( X )
% 0.96/1.33 }.
% 0.96/1.33 parent0[2]: (2776) {G1,W13,D3,L3,V1,M3} R(27,68);r(61) { ! aNaturalNumber0
% 0.96/1.33 ( sdtpldt0( xm, xn ) ), ! aNaturalNumber0( X ), ! sdtpldt0( xm, X ) =
% 0.96/1.33 sdtpldt0( xm, xn ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := X
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 eqrefl: (4238) {G0,W6,D3,L2,V0,M2} { ! aNaturalNumber0( sdtpldt0( xm, xn )
% 0.96/1.33 ), ! aNaturalNumber0( xn ) }.
% 0.96/1.33 parent0[0]: (4237) {G1,W13,D3,L3,V1,M3} { ! sdtpldt0( xm, xn ) = sdtpldt0
% 0.96/1.33 ( xm, X ), ! aNaturalNumber0( sdtpldt0( xm, xn ) ), ! aNaturalNumber0( X
% 0.96/1.33 ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 X := xn
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 resolution: (4239) {G1,W4,D2,L2,V0,M2} { ! aNaturalNumber0( xn ), !
% 0.96/1.33 aNaturalNumber0( xn ) }.
% 0.96/1.33 parent0[0]: (4238) {G0,W6,D3,L2,V0,M2} { ! aNaturalNumber0( sdtpldt0( xm,
% 0.96/1.33 xn ) ), ! aNaturalNumber0( xn ) }.
% 0.96/1.33 parent1[1]: (198) {G1,W6,D3,L2,V1,M2} R(4,61) { ! aNaturalNumber0( X ),
% 0.96/1.33 aNaturalNumber0( sdtpldt0( xm, X ) ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 end
% 0.96/1.33 substitution1:
% 0.96/1.33 X := xn
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 factor: (4240) {G1,W2,D2,L1,V0,M1} { ! aNaturalNumber0( xn ) }.
% 0.96/1.33 parent0[0, 1]: (4239) {G1,W4,D2,L2,V0,M2} { ! aNaturalNumber0( xn ), !
% 0.96/1.33 aNaturalNumber0( xn ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 subsumption: (2833) {G2,W2,D2,L1,V0,M1} Q(2776);r(198) { ! aNaturalNumber0
% 0.96/1.33 ( xn ) }.
% 0.96/1.33 parent0: (4240) {G1,W2,D2,L1,V0,M1} { ! aNaturalNumber0( xn ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 end
% 0.96/1.33 permutation0:
% 0.96/1.33 0 ==> 0
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 resolution: (4241) {G1,W0,D0,L0,V0,M0} { }.
% 0.96/1.33 parent0[0]: (2833) {G2,W2,D2,L1,V0,M1} Q(2776);r(198) { ! aNaturalNumber0(
% 0.96/1.33 xn ) }.
% 0.96/1.33 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 0.96/1.33 substitution0:
% 0.96/1.33 end
% 0.96/1.33 substitution1:
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 subsumption: (2869) {G3,W0,D0,L0,V0,M0} S(2833);r(62) { }.
% 0.96/1.33 parent0: (4241) {G1,W0,D0,L0,V0,M0} { }.
% 0.96/1.33 substitution0:
% 0.96/1.33 end
% 0.96/1.33 permutation0:
% 0.96/1.33 end
% 0.96/1.33
% 0.96/1.33 Proof check complete!
% 0.96/1.33
% 0.96/1.33 Memory use:
% 0.96/1.33
% 0.96/1.33 space for terms: 41354
% 0.96/1.33 space for clauses: 164202
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 clauses generated: 14176
% 0.96/1.33 clauses kept: 2870
% 0.96/1.33 clauses selected: 124
% 0.96/1.33 clauses deleted: 9
% 0.96/1.33 clauses inuse deleted: 6
% 0.96/1.33
% 0.96/1.33 subsentry: 26662
% 0.96/1.33 literals s-matched: 11595
% 0.96/1.33 literals matched: 9841
% 0.96/1.33 full subsumption: 6339
% 0.96/1.33
% 0.96/1.33 checksum: -512915380
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Bliksem ended
%------------------------------------------------------------------------------