%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM460+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 06:22:29 EDT 2022
% Result : Theorem 27.57s 27.93s
% Output : Refutation 27.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM460+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.32 % Computer : n012.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % DateTime : Thu Jul 7 10:27:14 EDT 2022
% 0.13/0.32 % CPUTime :
% 8.45/8.84 *** allocated 10000 integers for termspace/termends
% 8.45/8.84 *** allocated 10000 integers for clauses
% 8.45/8.84 *** allocated 10000 integers for justifications
% 8.45/8.84 Bliksem 1.12
% 8.45/8.84
% 8.45/8.84
% 8.45/8.84 Automatic Strategy Selection
% 8.45/8.84
% 8.45/8.84
% 8.45/8.84 Clauses:
% 8.45/8.84
% 8.45/8.84 { && }.
% 8.45/8.84 { aNaturalNumber0( sz00 ) }.
% 8.45/8.84 { aNaturalNumber0( sz10 ) }.
% 8.45/8.84 { ! sz10 = sz00 }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 8.45/8.84 ( X, Y ) ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 8.45/8.84 ( X, Y ) ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 8.45/8.84 sdtpldt0( Y, X ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 8.45/8.84 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 8.45/8.84 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 8.45/8.84 sdtasdt0( Y, X ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 8.45/8.84 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 8.45/8.84 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 8.45/8.84 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 8.45/8.84 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 8.45/8.84 , Z ) ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 8.45/8.84 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 8.45/8.84 , X ) ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 8.45/8.84 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 8.45/8.84 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 8.45/8.84 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 8.45/8.84 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 8.45/8.84 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 8.45/8.84 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 8.45/8.84 , X = sz00 }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 8.45/8.84 , Y = sz00 }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 8.45/8.84 , X = sz00, Y = sz00 }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 8.45/8.84 aNaturalNumber0( skol1( Z, T ) ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 8.45/8.84 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 8.45/8.84 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 8.45/8.84 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 8.45/8.84 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 8.45/8.84 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 8.45/8.84 sdtlseqdt0( Y, X ), X = Y }.
% 8.45/8.84 { aNaturalNumber0( xm ) }.
% 8.45/8.84 { aNaturalNumber0( xn ) }.
% 8.45/8.84 { aNaturalNumber0( xl ) }.
% 8.45/8.84 { aNaturalNumber0( skol2 ) }.
% 8.45/8.84 { sdtpldt0( xm, skol2 ) = xn }.
% 8.45/8.84 { sdtlseqdt0( xm, xn ) }.
% 8.45/8.84 { aNaturalNumber0( skol3 ) }.
% 8.45/8.84 { sdtpldt0( xn, skol3 ) = xl }.
% 8.45/8.84 { sdtlseqdt0( xn, xl ) }.
% 8.45/8.84 { ! aNaturalNumber0( X ), ! sdtpldt0( xm, X ) = xl }.
% 8.45/8.84 { ! sdtlseqdt0( xm, xl ) }.
% 8.45/8.84
% 8.45/8.84 percentage equality = 0.322835, percentage horn = 0.931818
% 8.45/8.84 This is a problem with some equality
% 8.45/8.84
% 8.45/8.84
% 8.45/8.84
% 8.45/8.84 Options Used:
% 8.45/8.84
% 8.45/8.84 useres = 1
% 8.45/8.84 useparamod = 1
% 8.45/8.84 useeqrefl = 1
% 8.45/8.84 useeqfact = 1
% 8.45/8.84 usefactor = 1
% 8.45/8.84 usesimpsplitting = 0
% 8.45/8.84 usesimpdemod = 5
% 8.45/8.84 usesimpres = 3
% 8.45/8.84
% 8.45/8.84 resimpinuse = 1000
% 8.45/8.84 resimpclauses = 20000
% 8.45/8.84 substype = eqrewr
% 8.45/8.84 backwardsubs = 1
% 8.45/8.84 selectoldest = 5
% 8.45/8.84
% 8.45/8.84 litorderings [0] = split
% 8.45/8.84 litorderings [1] = extend the termordering, first sorting on arguments
% 27.57/27.93
% 27.57/27.93 termordering = kbo
% 27.57/27.93
% 27.57/27.93 litapriori = 0
% 27.57/27.93 termapriori = 1
% 27.57/27.93 litaposteriori = 0
% 27.57/27.93 termaposteriori = 0
% 27.57/27.93 demodaposteriori = 0
% 27.57/27.93 ordereqreflfact = 0
% 27.57/27.93
% 27.57/27.93 litselect = negord
% 27.57/27.93
% 27.57/27.93 maxweight = 15
% 27.57/27.93 maxdepth = 30000
% 27.57/27.93 maxlength = 115
% 27.57/27.93 maxnrvars = 195
% 27.57/27.93 excuselevel = 1
% 27.57/27.93 increasemaxweight = 1
% 27.57/27.93
% 27.57/27.93 maxselected = 10000000
% 27.57/27.93 maxnrclauses = 10000000
% 27.57/27.93
% 27.57/27.93 showgenerated = 0
% 27.57/27.93 showkept = 0
% 27.57/27.93 showselected = 0
% 27.57/27.93 showdeleted = 0
% 27.57/27.93 showresimp = 1
% 27.57/27.93 showstatus = 2000
% 27.57/27.93
% 27.57/27.93 prologoutput = 0
% 27.57/27.93 nrgoals = 5000000
% 27.57/27.93 totalproof = 1
% 27.57/27.93
% 27.57/27.93 Symbols occurring in the translation:
% 27.57/27.93
% 27.57/27.93 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 27.57/27.93 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 27.57/27.93 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 27.57/27.93 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 27.57/27.93 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.57/27.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.57/27.93 aNaturalNumber0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 27.57/27.93 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 27.57/27.93 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 27.57/27.93 sdtpldt0 [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 27.57/27.93 sdtasdt0 [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 27.57/27.93 sdtlseqdt0 [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 27.57/27.93 sdtmndt0 [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 27.57/27.93 xm [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 27.57/27.93 xn [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 27.57/27.93 xl [47, 0] (w:1, o:11, a:1, s:1, b:0),
% 27.57/27.93 skol1 [48, 2] (w:1, o:50, a:1, s:1, b:1),
% 27.57/27.93 skol2 [49, 0] (w:1, o:14, a:1, s:1, b:1),
% 27.57/27.93 skol3 [50, 0] (w:1, o:15, a:1, s:1, b:1).
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Starting Search:
% 27.57/27.93
% 27.57/27.93 *** allocated 15000 integers for clauses
% 27.57/27.93 *** allocated 22500 integers for clauses
% 27.57/27.93 *** allocated 33750 integers for clauses
% 27.57/27.93 *** allocated 50625 integers for clauses
% 27.57/27.93 *** allocated 75937 integers for clauses
% 27.57/27.93 *** allocated 15000 integers for termspace/termends
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 22500 integers for termspace/termends
% 27.57/27.93 *** allocated 113905 integers for clauses
% 27.57/27.93 *** allocated 33750 integers for termspace/termends
% 27.57/27.93 *** allocated 170857 integers for clauses
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 12940
% 27.57/27.93 Kept: 2032
% 27.57/27.93 Inuse: 131
% 27.57/27.93 Deleted: 7
% 27.57/27.93 Deletedinuse: 5
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 50625 integers for termspace/termends
% 27.57/27.93 *** allocated 75937 integers for termspace/termends
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 256285 integers for clauses
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 29008
% 27.57/27.93 Kept: 4222
% 27.57/27.93 Inuse: 236
% 27.57/27.93 Deleted: 40
% 27.57/27.93 Deletedinuse: 25
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 384427 integers for clauses
% 27.57/27.93 *** allocated 113905 integers for termspace/termends
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 47813
% 27.57/27.93 Kept: 6271
% 27.57/27.93 Inuse: 292
% 27.57/27.93 Deleted: 44
% 27.57/27.93 Deletedinuse: 25
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 576640 integers for clauses
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 57548
% 27.57/27.93 Kept: 8309
% 27.57/27.93 Inuse: 340
% 27.57/27.93 Deleted: 48
% 27.57/27.93 Deletedinuse: 26
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 170857 integers for termspace/termends
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 864960 integers for clauses
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 67495
% 27.57/27.93 Kept: 11073
% 27.57/27.93 Inuse: 375
% 27.57/27.93 Deleted: 53
% 27.57/27.93 Deletedinuse: 27
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 77768
% 27.57/27.93 Kept: 13073
% 27.57/27.93 Inuse: 406
% 27.57/27.93 Deleted: 54
% 27.57/27.93 Deletedinuse: 28
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 256285 integers for termspace/termends
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 1297440 integers for clauses
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 83270
% 27.57/27.93 Kept: 15666
% 27.57/27.93 Inuse: 415
% 27.57/27.93 Deleted: 54
% 27.57/27.93 Deletedinuse: 28
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 89227
% 27.57/27.93 Kept: 18390
% 27.57/27.93 Inuse: 425
% 27.57/27.93 Deleted: 54
% 27.57/27.93 Deletedinuse: 28
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 384427 integers for termspace/termends
% 27.57/27.93 Resimplifying clauses:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 94476
% 27.57/27.93 Kept: 20583
% 27.57/27.93 Inuse: 433
% 27.57/27.93 Deleted: 1690
% 27.57/27.93 Deletedinuse: 28
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 103664
% 27.57/27.93 Kept: 22592
% 27.57/27.93 Inuse: 466
% 27.57/27.93 Deleted: 1705
% 27.57/27.93 Deletedinuse: 41
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 *** allocated 1946160 integers for clauses
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 115164
% 27.57/27.93 Kept: 24816
% 27.57/27.93 Inuse: 511
% 27.57/27.93 Deleted: 1711
% 27.57/27.93 Deletedinuse: 45
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 128229
% 27.57/27.93 Kept: 26853
% 27.57/27.93 Inuse: 555
% 27.57/27.93 Deleted: 1740
% 27.57/27.93 Deletedinuse: 73
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 148486
% 27.57/27.93 Kept: 29106
% 27.57/27.93 Inuse: 621
% 27.57/27.93 Deleted: 1769
% 27.57/27.93 Deletedinuse: 98
% 27.57/27.93
% 27.57/27.93 *** allocated 576640 integers for termspace/termends
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 158824
% 27.57/27.93 Kept: 31121
% 27.57/27.93 Inuse: 657
% 27.57/27.93 Deleted: 1769
% 27.57/27.93 Deletedinuse: 98
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 175364
% 27.57/27.93 Kept: 33217
% 27.57/27.93 Inuse: 686
% 27.57/27.93 Deleted: 1791
% 27.57/27.93 Deletedinuse: 98
% 27.57/27.93
% 27.57/27.93 *** allocated 2919240 integers for clauses
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 187929
% 27.57/27.93 Kept: 35230
% 27.57/27.93 Inuse: 709
% 27.57/27.93 Deleted: 1797
% 27.57/27.93 Deletedinuse: 98
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 200129
% 27.57/27.93 Kept: 37252
% 27.57/27.93 Inuse: 731
% 27.57/27.93 Deleted: 1801
% 27.57/27.93 Deletedinuse: 98
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Intermediate Status:
% 27.57/27.93 Generated: 223948
% 27.57/27.93 Kept: 39274
% 27.57/27.93 Inuse: 771
% 27.57/27.93 Deleted: 1872
% 27.57/27.93 Deletedinuse: 98
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying inuse:
% 27.57/27.93 Done
% 27.57/27.93
% 27.57/27.93 Resimplifying clauses:
% 27.57/27.93
% 27.57/27.93 Bliksems!, er is een bewijs:
% 27.57/27.93 % SZS status Theorem
% 27.57/27.93 % SZS output start Refutation
% 27.57/27.93
% 27.57/27.93 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 27.57/27.93 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.57/27.93 (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 27.57/27.93 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.57/27.93 (7) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 27.57/27.93 , ! aNaturalNumber0( Z ), sdtpldt0( X, sdtpldt0( Y, Z ) ) ==> sdtpldt0(
% 27.57/27.93 sdtpldt0( X, Y ), Z ) }.
% 27.57/27.93 (33) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.57/27.93 (34) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.57/27.93 (36) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 27.57/27.93 (37) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xm, skol2 ) ==> xn }.
% 27.57/27.93 (39) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 27.57/27.93 (40) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xn, skol3 ) ==> xl }.
% 27.57/27.93 (42) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), ! sdtpldt0( xm, X )
% 27.57/27.93 ==> xl }.
% 27.57/27.93 (111) {G1,W6,D3,L2,V1,M2} R(4,36) { ! aNaturalNumber0( X ), aNaturalNumber0
% 27.57/27.93 ( sdtpldt0( X, skol2 ) ) }.
% 27.57/27.93 (169) {G1,W9,D3,L2,V1,M2} R(6,33) { ! aNaturalNumber0( X ), sdtpldt0( xm, X
% 27.57/27.93 ) = sdtpldt0( X, xm ) }.
% 27.57/27.93 (174) {G1,W7,D3,L2,V0,M2} P(6,37);r(33) { sdtpldt0( skol2, xm ) ==> xn, !
% 27.57/27.93 aNaturalNumber0( skol2 ) }.
% 27.57/27.93 (175) {G1,W7,D3,L2,V0,M2} P(6,40);r(34) { sdtpldt0( skol3, xn ) ==> xl, !
% 27.57/27.93 aNaturalNumber0( skol3 ) }.
% 27.57/27.93 (245) {G1,W15,D4,L3,V2,M3} R(7,39) { ! aNaturalNumber0( X ), !
% 27.57/27.93 aNaturalNumber0( Y ), sdtpldt0( skol3, sdtpldt0( X, Y ) ) ==> sdtpldt0(
% 27.57/27.93 sdtpldt0( skol3, X ), Y ) }.
% 27.57/27.93 (8984) {G2,W4,D3,L1,V0,M1} R(111,39) { aNaturalNumber0( sdtpldt0( skol3,
% 27.57/27.93 skol2 ) ) }.
% 27.57/27.93 (9035) {G3,W7,D4,L1,V0,M1} R(8984,42) { ! sdtpldt0( xm, sdtpldt0( skol3,
% 27.57/27.93 skol2 ) ) ==> xl }.
% 27.57/27.93 (20575) {G2,W5,D3,L1,V0,M1} S(174);r(36) { sdtpldt0( skol2, xm ) ==> xn }.
% 27.57/27.93 (20576) {G2,W5,D3,L1,V0,M1} S(175);r(39) { sdtpldt0( skol3, xn ) ==> xl }.
% 27.57/27.93 (26275) {G3,W11,D4,L1,V0,M1} R(169,8984) { sdtpldt0( xm, sdtpldt0( skol3,
% 27.57/27.93 skol2 ) ) ==> sdtpldt0( sdtpldt0( skol3, skol2 ), xm ) }.
% 27.57/27.93 (38226) {G3,W9,D4,L2,V0,M2} P(20575,245);d(20576);r(36) { ! aNaturalNumber0
% 27.57/27.93 ( xm ), sdtpldt0( sdtpldt0( skol3, skol2 ), xm ) ==> xl }.
% 27.57/27.93 (40655) {G4,W7,D4,L1,V0,M1} S(38226);r(33) { sdtpldt0( sdtpldt0( skol3,
% 27.57/27.93 skol2 ), xm ) ==> xl }.
% 27.57/27.93 (41280) {G5,W0,D0,L0,V0,M0} S(26275);d(40655);r(9035) { }.
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 % SZS output end Refutation
% 27.57/27.93 found a proof!
% 27.57/27.93
% 27.57/27.93
% 27.57/27.93 Unprocessed initial clauses:
% 27.57/27.93
% 27.57/27.93 (41282) {G0,W1,D1,L1,V0,M1} { && }.
% 27.57/27.93 (41283) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 27.57/27.93 (41284) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 27.57/27.93 (41285) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 27.57/27.93 (41286) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.57/27.93 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.57/27.93 (41287) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 27.57/27.93 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 27.57/27.93 (41288) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.57/27.93 (41289) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 27.57/27.93 X, sdtpldt0( Y, Z ) ) }.
% 27.57/27.93 (41290) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 27.57/27.93 = X }.
% 27.57/27.93 (41291) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 27.57/27.93 X ) }.
% 27.57/27.93 (41292) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 27.57/27.93 (41293) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 27.57/27.93 X, sdtasdt0( Y, Z ) ) }.
% 27.57/27.93 (41294) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 27.57/27.93 = X }.
% 27.57/27.93 (41295) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 27.57/27.93 X ) }.
% 27.57/27.93 (41296) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 27.57/27.93 = sz00 }.
% 27.57/27.93 (41297) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 27.57/27.93 sz00, X ) }.
% 27.57/27.93 (41298) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 27.57/27.93 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 27.57/27.93 (41299) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 27.57/27.93 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 27.57/27.93 (41300) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 27.57/27.93 }.
% 27.57/27.93 (41301) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 27.57/27.93 }.
% 27.57/27.93 (41302) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 27.57/27.93 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 27.57/27.93 sdtasdt0( X, Z ), Y = Z }.
% 27.57/27.93 (41303) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 27.57/27.93 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 27.57/27.93 sdtasdt0( Z, X ), Y = Z }.
% 27.57/27.93 (41304) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 27.57/27.93 (41305) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 27.57/27.93 (41306) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 27.57/27.93 (41307) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 27.57/27.93 (41308) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 27.57/27.93 (41309) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 27.57/27.93 }.
% 27.57/27.93 (41310) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 27.57/27.93 }.
% 27.57/27.93 (41311) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 27.57/27.93 }.
% 27.57/27.93 (41312) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 27.57/27.93 , Z = sdtmndt0( Y, X ) }.
% 27.57/27.93 (41313) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 27.57/27.93 }.
% 27.57/27.93 (41314) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 27.57/27.93 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 27.57/27.94 (41315) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 27.57/27.94 (41316) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 27.57/27.94 (41317) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xl ) }.
% 27.57/27.94 (41318) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol2 ) }.
% 27.57/27.94 (41319) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol2 ) = xn }.
% 27.57/27.94 (41320) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xn ) }.
% 27.57/27.94 (41321) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 27.57/27.94 (41322) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol3 ) = xl }.
% 27.57/27.94 (41323) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xl ) }.
% 27.57/27.94 (41324) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xm, X )
% 27.57/27.94 = xl }.
% 27.57/27.94 (41325) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xm, xl ) }.
% 27.57/27.94
% 27.57/27.94
% 27.57/27.94 Total Proof:
% 27.57/27.94
% 27.57/27.94 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.57/27.94 parent0: (41286) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 Y := Y
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 1 ==> 1
% 27.57/27.94 2 ==> 2
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.57/27.94 parent0: (41288) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 Y := Y
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 1 ==> 1
% 27.57/27.94 2 ==> 2
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (41336) {G0,W17,D4,L4,V3,M4} { sdtpldt0( X, sdtpldt0( Y, Z ) ) =
% 27.57/27.94 sdtpldt0( sdtpldt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 27.57/27.94 parent0[3]: (41289) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y )
% 27.57/27.94 , Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 Y := Y
% 27.57/27.94 Z := Z
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (7) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( X, sdtpldt0( Y, Z
% 27.57/27.94 ) ) ==> sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 27.57/27.94 parent0: (41336) {G0,W17,D4,L4,V3,M4} { sdtpldt0( X, sdtpldt0( Y, Z ) ) =
% 27.57/27.94 sdtpldt0( sdtpldt0( X, Y ), Z ), ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 Y := Y
% 27.57/27.94 Z := Z
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 3
% 27.57/27.94 1 ==> 0
% 27.57/27.94 2 ==> 1
% 27.57/27.94 3 ==> 2
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (33) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.57/27.94 parent0: (41315) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (34) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.57/27.94 parent0: (41316) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (36) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 27.57/27.94 parent0: (41318) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol2 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (37) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xm, skol2 ) ==> xn }.
% 27.57/27.94 parent0: (41319) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol2 ) = xn }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (39) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 27.57/27.94 parent0: (41321) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol3 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (40) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xn, skol3 ) ==> xl }.
% 27.57/27.94 parent0: (41322) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol3 ) = xl }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (42) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), !
% 27.57/27.94 sdtpldt0( xm, X ) ==> xl }.
% 27.57/27.94 parent0: (41324) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0
% 27.57/27.94 ( xm, X ) = xl }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 1 ==> 1
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42662) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 27.57/27.94 aNaturalNumber0( sdtpldt0( X, skol2 ) ) }.
% 27.57/27.94 parent0[1]: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 27.57/27.94 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 Y := skol2
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (111) {G1,W6,D3,L2,V1,M2} R(4,36) { ! aNaturalNumber0( X ),
% 27.57/27.94 aNaturalNumber0( sdtpldt0( X, skol2 ) ) }.
% 27.57/27.94 parent0: (42662) {G1,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 27.57/27.94 aNaturalNumber0( sdtpldt0( X, skol2 ) ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 1 ==> 1
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42663) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0
% 27.57/27.94 ( xm, X ) = sdtpldt0( X, xm ) }.
% 27.57/27.94 parent0[0]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.57/27.94 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := xm
% 27.57/27.94 Y := X
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (169) {G1,W9,D3,L2,V1,M2} R(6,33) { ! aNaturalNumber0( X ),
% 27.57/27.94 sdtpldt0( xm, X ) = sdtpldt0( X, xm ) }.
% 27.57/27.94 parent0: (42663) {G1,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0(
% 27.57/27.94 xm, X ) = sdtpldt0( X, xm ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 1 ==> 1
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42665) {G0,W5,D3,L1,V0,M1} { xn ==> sdtpldt0( xm, skol2 ) }.
% 27.57/27.94 parent0[0]: (37) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xm, skol2 ) ==> xn }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 paramod: (42666) {G1,W9,D3,L3,V0,M3} { xn ==> sdtpldt0( skol2, xm ), !
% 27.57/27.94 aNaturalNumber0( xm ), ! aNaturalNumber0( skol2 ) }.
% 27.57/27.94 parent0[2]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.57/27.94 parent1[0; 2]: (42665) {G0,W5,D3,L1,V0,M1} { xn ==> sdtpldt0( xm, skol2 )
% 27.57/27.94 }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := xm
% 27.57/27.94 Y := skol2
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42706) {G1,W7,D3,L2,V0,M2} { xn ==> sdtpldt0( skol2, xm ), !
% 27.57/27.94 aNaturalNumber0( skol2 ) }.
% 27.57/27.94 parent0[1]: (42666) {G1,W9,D3,L3,V0,M3} { xn ==> sdtpldt0( skol2, xm ), !
% 27.57/27.94 aNaturalNumber0( xm ), ! aNaturalNumber0( skol2 ) }.
% 27.57/27.94 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42707) {G1,W7,D3,L2,V0,M2} { sdtpldt0( skol2, xm ) ==> xn, !
% 27.57/27.94 aNaturalNumber0( skol2 ) }.
% 27.57/27.94 parent0[0]: (42706) {G1,W7,D3,L2,V0,M2} { xn ==> sdtpldt0( skol2, xm ), !
% 27.57/27.94 aNaturalNumber0( skol2 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (174) {G1,W7,D3,L2,V0,M2} P(6,37);r(33) { sdtpldt0( skol2, xm
% 27.57/27.94 ) ==> xn, ! aNaturalNumber0( skol2 ) }.
% 27.57/27.94 parent0: (42707) {G1,W7,D3,L2,V0,M2} { sdtpldt0( skol2, xm ) ==> xn, !
% 27.57/27.94 aNaturalNumber0( skol2 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 1 ==> 1
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42708) {G0,W5,D3,L1,V0,M1} { xl ==> sdtpldt0( xn, skol3 ) }.
% 27.57/27.94 parent0[0]: (40) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xn, skol3 ) ==> xl }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 paramod: (42709) {G1,W9,D3,L3,V0,M3} { xl ==> sdtpldt0( skol3, xn ), !
% 27.57/27.94 aNaturalNumber0( xn ), ! aNaturalNumber0( skol3 ) }.
% 27.57/27.94 parent0[2]: (6) {G0,W11,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 27.57/27.94 parent1[0; 2]: (42708) {G0,W5,D3,L1,V0,M1} { xl ==> sdtpldt0( xn, skol3 )
% 27.57/27.94 }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := xn
% 27.57/27.94 Y := skol3
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42749) {G1,W7,D3,L2,V0,M2} { xl ==> sdtpldt0( skol3, xn ), !
% 27.57/27.94 aNaturalNumber0( skol3 ) }.
% 27.57/27.94 parent0[1]: (42709) {G1,W9,D3,L3,V0,M3} { xl ==> sdtpldt0( skol3, xn ), !
% 27.57/27.94 aNaturalNumber0( xn ), ! aNaturalNumber0( skol3 ) }.
% 27.57/27.94 parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42750) {G1,W7,D3,L2,V0,M2} { sdtpldt0( skol3, xn ) ==> xl, !
% 27.57/27.94 aNaturalNumber0( skol3 ) }.
% 27.57/27.94 parent0[0]: (42749) {G1,W7,D3,L2,V0,M2} { xl ==> sdtpldt0( skol3, xn ), !
% 27.57/27.94 aNaturalNumber0( skol3 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (175) {G1,W7,D3,L2,V0,M2} P(6,40);r(34) { sdtpldt0( skol3, xn
% 27.57/27.94 ) ==> xl, ! aNaturalNumber0( skol3 ) }.
% 27.57/27.94 parent0: (42750) {G1,W7,D3,L2,V0,M2} { sdtpldt0( skol3, xn ) ==> xl, !
% 27.57/27.94 aNaturalNumber0( skol3 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 1 ==> 1
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42751) {G0,W17,D4,L4,V3,M4} { sdtpldt0( sdtpldt0( X, Y ), Z ) ==>
% 27.57/27.94 sdtpldt0( X, sdtpldt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 27.57/27.94 parent0[3]: (7) {G0,W17,D4,L4,V3,M4} I { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), sdtpldt0( X, sdtpldt0( Y, Z
% 27.57/27.94 ) ) ==> sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 Y := Y
% 27.57/27.94 Z := Z
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42752) {G1,W15,D4,L3,V2,M3} { sdtpldt0( sdtpldt0( skol3, X )
% 27.57/27.94 , Y ) ==> sdtpldt0( skol3, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ) }.
% 27.57/27.94 parent0[1]: (42751) {G0,W17,D4,L4,V3,M4} { sdtpldt0( sdtpldt0( X, Y ), Z )
% 27.57/27.94 ==> sdtpldt0( X, sdtpldt0( Y, Z ) ), ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ) }.
% 27.57/27.94 parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := skol3
% 27.57/27.94 Y := X
% 27.57/27.94 Z := Y
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42757) {G1,W15,D4,L3,V2,M3} { sdtpldt0( skol3, sdtpldt0( X, Y ) )
% 27.57/27.94 ==> sdtpldt0( sdtpldt0( skol3, X ), Y ), ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ) }.
% 27.57/27.94 parent0[0]: (42752) {G1,W15,D4,L3,V2,M3} { sdtpldt0( sdtpldt0( skol3, X )
% 27.57/27.94 , Y ) ==> sdtpldt0( skol3, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 Y := Y
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (245) {G1,W15,D4,L3,V2,M3} R(7,39) { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), sdtpldt0( skol3, sdtpldt0( X, Y ) ) ==> sdtpldt0(
% 27.57/27.94 sdtpldt0( skol3, X ), Y ) }.
% 27.57/27.94 parent0: (42757) {G1,W15,D4,L3,V2,M3} { sdtpldt0( skol3, sdtpldt0( X, Y )
% 27.57/27.94 ) ==> sdtpldt0( sdtpldt0( skol3, X ), Y ), ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 Y := Y
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 2
% 27.57/27.94 1 ==> 0
% 27.57/27.94 2 ==> 1
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42764) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( skol3
% 27.57/27.94 , skol2 ) ) }.
% 27.57/27.94 parent0[0]: (111) {G1,W6,D3,L2,V1,M2} R(4,36) { ! aNaturalNumber0( X ),
% 27.57/27.94 aNaturalNumber0( sdtpldt0( X, skol2 ) ) }.
% 27.57/27.94 parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := skol3
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (8984) {G2,W4,D3,L1,V0,M1} R(111,39) { aNaturalNumber0(
% 27.57/27.94 sdtpldt0( skol3, skol2 ) ) }.
% 27.57/27.94 parent0: (42764) {G1,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtpldt0( skol3,
% 27.57/27.94 skol2 ) ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42765) {G0,W7,D3,L2,V1,M2} { ! xl ==> sdtpldt0( xm, X ), !
% 27.57/27.94 aNaturalNumber0( X ) }.
% 27.57/27.94 parent0[1]: (42) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), ! sdtpldt0
% 27.57/27.94 ( xm, X ) ==> xl }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42766) {G1,W7,D4,L1,V0,M1} { ! xl ==> sdtpldt0( xm, sdtpldt0
% 27.57/27.94 ( skol3, skol2 ) ) }.
% 27.57/27.94 parent0[1]: (42765) {G0,W7,D3,L2,V1,M2} { ! xl ==> sdtpldt0( xm, X ), !
% 27.57/27.94 aNaturalNumber0( X ) }.
% 27.57/27.94 parent1[0]: (8984) {G2,W4,D3,L1,V0,M1} R(111,39) { aNaturalNumber0(
% 27.57/27.94 sdtpldt0( skol3, skol2 ) ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := sdtpldt0( skol3, skol2 )
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42767) {G1,W7,D4,L1,V0,M1} { ! sdtpldt0( xm, sdtpldt0( skol3,
% 27.57/27.94 skol2 ) ) ==> xl }.
% 27.57/27.94 parent0[0]: (42766) {G1,W7,D4,L1,V0,M1} { ! xl ==> sdtpldt0( xm, sdtpldt0
% 27.57/27.94 ( skol3, skol2 ) ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (9035) {G3,W7,D4,L1,V0,M1} R(8984,42) { ! sdtpldt0( xm,
% 27.57/27.94 sdtpldt0( skol3, skol2 ) ) ==> xl }.
% 27.57/27.94 parent0: (42767) {G1,W7,D4,L1,V0,M1} { ! sdtpldt0( xm, sdtpldt0( skol3,
% 27.57/27.94 skol2 ) ) ==> xl }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42769) {G1,W5,D3,L1,V0,M1} { sdtpldt0( skol2, xm ) ==> xn }.
% 27.57/27.94 parent0[1]: (174) {G1,W7,D3,L2,V0,M2} P(6,37);r(33) { sdtpldt0( skol2, xm )
% 27.57/27.94 ==> xn, ! aNaturalNumber0( skol2 ) }.
% 27.57/27.94 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (20575) {G2,W5,D3,L1,V0,M1} S(174);r(36) { sdtpldt0( skol2, xm
% 27.57/27.94 ) ==> xn }.
% 27.57/27.94 parent0: (42769) {G1,W5,D3,L1,V0,M1} { sdtpldt0( skol2, xm ) ==> xn }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42772) {G1,W5,D3,L1,V0,M1} { sdtpldt0( skol3, xn ) ==> xl }.
% 27.57/27.94 parent0[1]: (175) {G1,W7,D3,L2,V0,M2} P(6,40);r(34) { sdtpldt0( skol3, xn )
% 27.57/27.94 ==> xl, ! aNaturalNumber0( skol3 ) }.
% 27.57/27.94 parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol3 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (20576) {G2,W5,D3,L1,V0,M1} S(175);r(39) { sdtpldt0( skol3, xn
% 27.57/27.94 ) ==> xl }.
% 27.57/27.94 parent0: (42772) {G1,W5,D3,L1,V0,M1} { sdtpldt0( skol3, xn ) ==> xl }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42774) {G1,W9,D3,L2,V1,M2} { sdtpldt0( X, xm ) = sdtpldt0( xm, X
% 27.57/27.94 ), ! aNaturalNumber0( X ) }.
% 27.57/27.94 parent0[1]: (169) {G1,W9,D3,L2,V1,M2} R(6,33) { ! aNaturalNumber0( X ),
% 27.57/27.94 sdtpldt0( xm, X ) = sdtpldt0( X, xm ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42775) {G2,W11,D4,L1,V0,M1} { sdtpldt0( sdtpldt0( skol3,
% 27.57/27.94 skol2 ), xm ) = sdtpldt0( xm, sdtpldt0( skol3, skol2 ) ) }.
% 27.57/27.94 parent0[1]: (42774) {G1,W9,D3,L2,V1,M2} { sdtpldt0( X, xm ) = sdtpldt0( xm
% 27.57/27.94 , X ), ! aNaturalNumber0( X ) }.
% 27.57/27.94 parent1[0]: (8984) {G2,W4,D3,L1,V0,M1} R(111,39) { aNaturalNumber0(
% 27.57/27.94 sdtpldt0( skol3, skol2 ) ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := sdtpldt0( skol3, skol2 )
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42776) {G2,W11,D4,L1,V0,M1} { sdtpldt0( xm, sdtpldt0( skol3,
% 27.57/27.94 skol2 ) ) = sdtpldt0( sdtpldt0( skol3, skol2 ), xm ) }.
% 27.57/27.94 parent0[0]: (42775) {G2,W11,D4,L1,V0,M1} { sdtpldt0( sdtpldt0( skol3,
% 27.57/27.94 skol2 ), xm ) = sdtpldt0( xm, sdtpldt0( skol3, skol2 ) ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (26275) {G3,W11,D4,L1,V0,M1} R(169,8984) { sdtpldt0( xm,
% 27.57/27.94 sdtpldt0( skol3, skol2 ) ) ==> sdtpldt0( sdtpldt0( skol3, skol2 ), xm )
% 27.57/27.94 }.
% 27.57/27.94 parent0: (42776) {G2,W11,D4,L1,V0,M1} { sdtpldt0( xm, sdtpldt0( skol3,
% 27.57/27.94 skol2 ) ) = sdtpldt0( sdtpldt0( skol3, skol2 ), xm ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 eqswap: (42778) {G1,W15,D4,L3,V2,M3} { sdtpldt0( sdtpldt0( skol3, X ), Y )
% 27.57/27.94 ==> sdtpldt0( skol3, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ) }.
% 27.57/27.94 parent0[2]: (245) {G1,W15,D4,L3,V2,M3} R(7,39) { ! aNaturalNumber0( X ), !
% 27.57/27.94 aNaturalNumber0( Y ), sdtpldt0( skol3, sdtpldt0( X, Y ) ) ==> sdtpldt0(
% 27.57/27.94 sdtpldt0( skol3, X ), Y ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 X := X
% 27.57/27.94 Y := Y
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 paramod: (42780) {G2,W13,D4,L3,V0,M3} { sdtpldt0( sdtpldt0( skol3, skol2 )
% 27.57/27.94 , xm ) ==> sdtpldt0( skol3, xn ), ! aNaturalNumber0( skol2 ), !
% 27.57/27.94 aNaturalNumber0( xm ) }.
% 27.57/27.94 parent0[0]: (20575) {G2,W5,D3,L1,V0,M1} S(174);r(36) { sdtpldt0( skol2, xm
% 27.57/27.94 ) ==> xn }.
% 27.57/27.94 parent1[0; 8]: (42778) {G1,W15,D4,L3,V2,M3} { sdtpldt0( sdtpldt0( skol3, X
% 27.57/27.94 ), Y ) ==> sdtpldt0( skol3, sdtpldt0( X, Y ) ), ! aNaturalNumber0( X ),
% 27.57/27.94 ! aNaturalNumber0( Y ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 X := skol2
% 27.57/27.94 Y := xm
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 paramod: (42781) {G3,W11,D4,L3,V0,M3} { sdtpldt0( sdtpldt0( skol3, skol2 )
% 27.57/27.94 , xm ) ==> xl, ! aNaturalNumber0( skol2 ), ! aNaturalNumber0( xm ) }.
% 27.57/27.94 parent0[0]: (20576) {G2,W5,D3,L1,V0,M1} S(175);r(39) { sdtpldt0( skol3, xn
% 27.57/27.94 ) ==> xl }.
% 27.57/27.94 parent1[0; 6]: (42780) {G2,W13,D4,L3,V0,M3} { sdtpldt0( sdtpldt0( skol3,
% 27.57/27.94 skol2 ), xm ) ==> sdtpldt0( skol3, xn ), ! aNaturalNumber0( skol2 ), !
% 27.57/27.94 aNaturalNumber0( xm ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42782) {G1,W9,D4,L2,V0,M2} { sdtpldt0( sdtpldt0( skol3, skol2
% 27.57/27.94 ), xm ) ==> xl, ! aNaturalNumber0( xm ) }.
% 27.57/27.94 parent0[1]: (42781) {G3,W11,D4,L3,V0,M3} { sdtpldt0( sdtpldt0( skol3,
% 27.57/27.94 skol2 ), xm ) ==> xl, ! aNaturalNumber0( skol2 ), ! aNaturalNumber0( xm )
% 27.57/27.94 }.
% 27.57/27.94 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol2 ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (38226) {G3,W9,D4,L2,V0,M2} P(20575,245);d(20576);r(36) { !
% 27.57/27.94 aNaturalNumber0( xm ), sdtpldt0( sdtpldt0( skol3, skol2 ), xm ) ==> xl
% 27.57/27.94 }.
% 27.57/27.94 parent0: (42782) {G1,W9,D4,L2,V0,M2} { sdtpldt0( sdtpldt0( skol3, skol2 )
% 27.57/27.94 , xm ) ==> xl, ! aNaturalNumber0( xm ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 1
% 27.57/27.94 1 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42785) {G1,W7,D4,L1,V0,M1} { sdtpldt0( sdtpldt0( skol3, skol2
% 27.57/27.94 ), xm ) ==> xl }.
% 27.57/27.94 parent0[0]: (38226) {G3,W9,D4,L2,V0,M2} P(20575,245);d(20576);r(36) { !
% 27.57/27.94 aNaturalNumber0( xm ), sdtpldt0( sdtpldt0( skol3, skol2 ), xm ) ==> xl
% 27.57/27.94 }.
% 27.57/27.94 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (40655) {G4,W7,D4,L1,V0,M1} S(38226);r(33) { sdtpldt0(
% 27.57/27.94 sdtpldt0( skol3, skol2 ), xm ) ==> xl }.
% 27.57/27.94 parent0: (42785) {G1,W7,D4,L1,V0,M1} { sdtpldt0( sdtpldt0( skol3, skol2 )
% 27.57/27.94 , xm ) ==> xl }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 0 ==> 0
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 paramod: (42790) {G4,W7,D4,L1,V0,M1} { sdtpldt0( xm, sdtpldt0( skol3,
% 27.57/27.94 skol2 ) ) ==> xl }.
% 27.57/27.94 parent0[0]: (40655) {G4,W7,D4,L1,V0,M1} S(38226);r(33) { sdtpldt0( sdtpldt0
% 27.57/27.94 ( skol3, skol2 ), xm ) ==> xl }.
% 27.57/27.94 parent1[0; 6]: (26275) {G3,W11,D4,L1,V0,M1} R(169,8984) { sdtpldt0( xm,
% 27.57/27.94 sdtpldt0( skol3, skol2 ) ) ==> sdtpldt0( sdtpldt0( skol3, skol2 ), xm )
% 27.57/27.94 }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 resolution: (42791) {G4,W0,D0,L0,V0,M0} { }.
% 27.57/27.94 parent0[0]: (9035) {G3,W7,D4,L1,V0,M1} R(8984,42) { ! sdtpldt0( xm,
% 27.57/27.94 sdtpldt0( skol3, skol2 ) ) ==> xl }.
% 27.57/27.94 parent1[0]: (42790) {G4,W7,D4,L1,V0,M1} { sdtpldt0( xm, sdtpldt0( skol3,
% 27.57/27.94 skol2 ) ) ==> xl }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 substitution1:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 subsumption: (41280) {G5,W0,D0,L0,V0,M0} S(26275);d(40655);r(9035) { }.
% 27.57/27.94 parent0: (42791) {G4,W0,D0,L0,V0,M0} { }.
% 27.57/27.94 substitution0:
% 27.57/27.94 end
% 27.57/27.94 permutation0:
% 27.57/27.94 end
% 27.57/27.94
% 27.57/27.94 Proof check complete!
% 27.57/27.94
% 27.57/27.94 Memory use:
% 27.57/27.94
% 27.57/27.94 space for terms: 537144
% 27.57/27.94 space for clauses: 2397333
% 27.57/27.94
% 27.57/27.94
% 27.57/27.94 clauses generated: 235066
% 27.57/27.94 clauses kept: 41281
% 27.57/27.94 clauses selected: 790
% 27.57/27.94 clauses deleted: 2954
% 27.57/27.94 clauses inuse deleted: 106
% 27.57/27.94
% 27.57/27.94 subsentry: 583978
% 27.57/27.94 literals s-matched: 231769
% 27.57/27.94 literals matched: 211790
% 27.57/27.94 full subsumption: 102388
% 27.57/27.94
% 27.57/27.94 checksum: 1387403023
% 27.57/27.94
% 27.57/27.94
% 27.57/27.94 Bliksem ended
%------------------------------------------------------------------------------