TSTP Solution File: NUM425+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM425+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 06:22:07 EDT 2022
% Result : Theorem 64.58s 65.02s
% Output : Refutation 64.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : NUM425+1 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.15 % Command : bliksem %s
% 0.15/0.37 % Computer : n015.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % DateTime : Wed Jul 6 20:45:04 EDT 2022
% 0.15/0.37 % CPUTime :
% 11.20/11.61 *** allocated 10000 integers for termspace/termends
% 11.20/11.61 *** allocated 10000 integers for clauses
% 11.20/11.61 *** allocated 10000 integers for justifications
% 11.20/11.61 Bliksem 1.12
% 11.20/11.61
% 11.20/11.61
% 11.20/11.61 Automatic Strategy Selection
% 11.20/11.61
% 11.20/11.61
% 11.20/11.61 Clauses:
% 11.20/11.61
% 11.20/11.61 { && }.
% 11.20/11.61 { aInteger0( sz00 ) }.
% 11.20/11.61 { aInteger0( sz10 ) }.
% 11.20/11.61 { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtpldt0( X, Y ) ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtasdt0( X, Y ) ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtpldt0( X,
% 11.20/11.61 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }
% 11.20/11.61 .
% 11.20/11.61 { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 11.20/11.61 { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 11.20/11.61 { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) ) = sz00 }.
% 11.20/11.61 { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X ), X ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 11.20/11.61 sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }
% 11.20/11.61 .
% 11.20/11.61 { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 11.20/11.61 { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 11.20/11.61 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( sdtpldt0
% 11.20/11.61 ( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 11.20/11.61 { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 11.20/11.61 { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 11.20/11.61 { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X ) = smndt0( X ) }.
% 11.20/11.61 { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X, smndt0( sz10 ) ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00,
% 11.20/11.61 Y = sz00 }.
% 11.20/11.61 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), aInteger0( Y ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), alpha1( X, Y ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1( X, Y ), aDivisorOf0( Y, X )
% 11.20/11.61 }.
% 11.20/11.61 { ! alpha1( X, Y ), ! Y = sz00 }.
% 11.20/11.61 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 11.20/11.61 { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 11.20/11.61 { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) ) }.
% 11.20/11.61 { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y ) ) = X }.
% 11.20/11.61 { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X, alpha2( X, Y ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 11.20/11.61 sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0( Z, sdtpldt0( X, smndt0( Y )
% 11.20/11.61 ) ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 11.20/11.61 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ), sdteqdtlpzmzozddtrp0( X, Y
% 11.20/11.61 , Z ) }.
% 11.20/11.61 { ! aInteger0( X ), ! aInteger0( Y ), Y = sz00, sdteqdtlpzmzozddtrp0( X, X
% 11.20/11.61 , Y ) }.
% 11.20/11.61 { aInteger0( xa ) }.
% 11.20/11.61 { aInteger0( xb ) }.
% 11.20/11.61 { aInteger0( xq ) }.
% 11.20/11.61 { ! xq = sz00 }.
% 11.20/11.61 { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 11.20/11.61 { ! aInteger0( X ), ! sdtasdt0( xq, X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 11.20/11.61
% 11.20/11.61 percentage equality = 0.266667, percentage horn = 0.878049
% 11.20/11.61 This is a problem with some equality
% 11.20/11.61
% 11.20/11.61
% 11.20/11.61
% 11.20/11.61 Options Used:
% 11.20/11.61
% 11.20/11.61 useres = 1
% 11.20/11.61 useparamod = 1
% 11.20/11.61 useeqrefl = 1
% 11.20/11.61 useeqfact = 1
% 11.20/11.61 usefactor = 1
% 11.20/11.61 usesimpsplitting = 0
% 11.20/11.61 usesimpdemod = 5
% 11.20/11.61 usesimpres = 3
% 11.20/11.61
% 11.20/11.61 resimpinuse = 1000
% 11.20/11.61 resimpclauses = 20000
% 11.20/11.61 substype = eqrewr
% 11.20/11.61 backwardsubs = 1
% 11.20/11.61 selectoldest = 5
% 11.20/11.61
% 11.20/11.61 litorderings [0] = split
% 11.20/11.61 litorderings [1] = extend the termordering, first sorting on arguments
% 11.20/11.61
% 11.20/11.61 termordering = kbo
% 11.20/11.61
% 11.20/11.61 litapriori = 0
% 11.20/11.61 termapriori = 1
% 11.20/11.61 litaposteriori = 0
% 11.20/11.61 termaposteriori = 0
% 11.20/11.61 demodaposteriori = 0
% 11.20/11.61 ordereqreflfact = 0
% 11.20/11.61
% 11.20/11.61 litselect = negord
% 11.20/11.61
% 11.20/11.61 maxweight = 15
% 11.20/11.61 maxdepth = 30000
% 11.20/11.61 maxlength = 115
% 11.20/11.61 maxnrvars = 195
% 11.20/11.61 excuselevel = 1
% 11.20/11.61 increasemaxweight = 1
% 11.20/11.61
% 11.20/11.61 maxselected = 10000000
% 11.20/11.61 maxnrclauses = 10000000
% 11.20/11.61
% 11.20/11.61 showgenerated = 0
% 11.20/11.61 showkept = 0
% 11.20/11.61 showselected = 0
% 11.20/11.61 showdeleted = 0
% 11.20/11.61 showresimp = 1
% 11.20/11.61 showstatus = 2000
% 11.20/11.61
% 11.20/11.61 prologoutput = 0
% 11.20/11.61 nrgoals = 5000000
% 11.20/11.61 totalproof = 1
% 11.20/11.61
% 11.20/11.61 Symbols occurring in the translation:
% 11.20/11.61
% 11.20/11.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 11.20/11.61 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 11.20/11.61 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 64.58/65.01 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 64.58/65.01 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 64.58/65.01 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 64.58/65.01 aInteger0 [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 64.58/65.01 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 64.58/65.01 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 64.58/65.01 smndt0 [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 64.58/65.01 sdtpldt0 [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 64.58/65.01 sdtasdt0 [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 64.58/65.01 aDivisorOf0 [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 64.58/65.01 sdteqdtlpzmzozddtrp0 [45, 3] (w:1, o:51, a:1, s:1, b:0),
% 64.58/65.01 xa [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 64.58/65.01 xb [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 64.58/65.01 xq [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 64.58/65.01 alpha1 [49, 2] (w:1, o:48, a:1, s:1, b:1),
% 64.58/65.01 alpha2 [50, 2] (w:1, o:49, a:1, s:1, b:1),
% 64.58/65.01 skol1 [51, 2] (w:1, o:50, a:1, s:1, b:1).
% 64.58/65.01
% 64.58/65.01
% 64.58/65.01 Starting Search:
% 64.58/65.01
% 64.58/65.01 *** allocated 15000 integers for clauses
% 64.58/65.01 *** allocated 22500 integers for clauses
% 64.58/65.01 *** allocated 33750 integers for clauses
% 64.58/65.01 *** allocated 50625 integers for clauses
% 64.58/65.01 *** allocated 75937 integers for clauses
% 64.58/65.01 *** allocated 15000 integers for termspace/termends
% 64.58/65.01 *** allocated 113905 integers for clauses
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 *** allocated 22500 integers for termspace/termends
% 64.58/65.01 *** allocated 170857 integers for clauses
% 64.58/65.01 *** allocated 33750 integers for termspace/termends
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 5443
% 64.58/65.01 Kept: 2119
% 64.58/65.01 Inuse: 134
% 64.58/65.01 Deleted: 10
% 64.58/65.01 Deletedinuse: 8
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 *** allocated 50625 integers for termspace/termends
% 64.58/65.01 *** allocated 256285 integers for clauses
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 *** allocated 384427 integers for clauses
% 64.58/65.01 *** allocated 75937 integers for termspace/termends
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 16993
% 64.58/65.01 Kept: 4120
% 64.58/65.01 Inuse: 277
% 64.58/65.01 Deleted: 16
% 64.58/65.01 Deletedinuse: 10
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 26098
% 64.58/65.01 Kept: 6157
% 64.58/65.01 Inuse: 338
% 64.58/65.01 Deleted: 22
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 *** allocated 113905 integers for termspace/termends
% 64.58/65.01 *** allocated 576640 integers for clauses
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 31823
% 64.58/65.01 Kept: 8248
% 64.58/65.01 Inuse: 391
% 64.58/65.01 Deleted: 22
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 *** allocated 170857 integers for termspace/termends
% 64.58/65.01 *** allocated 864960 integers for clauses
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 37383
% 64.58/65.01 Kept: 10284
% 64.58/65.01 Inuse: 418
% 64.58/65.01 Deleted: 24
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 42236
% 64.58/65.01 Kept: 12689
% 64.58/65.01 Inuse: 434
% 64.58/65.01 Deleted: 24
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 *** allocated 256285 integers for termspace/termends
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 46578
% 64.58/65.01 Kept: 15012
% 64.58/65.01 Inuse: 464
% 64.58/65.01 Deleted: 29
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 *** allocated 1297440 integers for clauses
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 50167
% 64.58/65.01 Kept: 17092
% 64.58/65.01 Inuse: 474
% 64.58/65.01 Deleted: 29
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 54382
% 64.58/65.01 Kept: 19277
% 64.58/65.01 Inuse: 502
% 64.58/65.01 Deleted: 31
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying clauses:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 *** allocated 384427 integers for termspace/termends
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 59210
% 64.58/65.01 Kept: 21346
% 64.58/65.01 Inuse: 522
% 64.58/65.01 Deleted: 633
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 65054
% 64.58/65.01 Kept: 23400
% 64.58/65.01 Inuse: 553
% 64.58/65.01 Deleted: 633
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 *** allocated 1946160 integers for clauses
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 71657
% 64.58/65.01 Kept: 25553
% 64.58/65.01 Inuse: 592
% 64.58/65.01 Deleted: 633
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.01
% 64.58/65.01
% 64.58/65.01 Intermediate Status:
% 64.58/65.01 Generated: 76582
% 64.58/65.01 Kept: 27714
% 64.58/65.01 Inuse: 622
% 64.58/65.01 Deleted: 633
% 64.58/65.01 Deletedinuse: 12
% 64.58/65.01
% 64.58/65.01 Resimplifying inuse:
% 64.58/65.01 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 82957
% 64.58/65.02 Kept: 29958
% 64.58/65.02 Inuse: 649
% 64.58/65.02 Deleted: 641
% 64.58/65.02 Deletedinuse: 12
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 *** allocated 576640 integers for termspace/termends
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 115053
% 64.58/65.02 Kept: 32012
% 64.58/65.02 Inuse: 812
% 64.58/65.02 Deleted: 645
% 64.58/65.02 Deletedinuse: 12
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 120495
% 64.58/65.02 Kept: 34138
% 64.58/65.02 Inuse: 828
% 64.58/65.02 Deleted: 645
% 64.58/65.02 Deletedinuse: 12
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 *** allocated 2919240 integers for clauses
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 126107
% 64.58/65.02 Kept: 36151
% 64.58/65.02 Inuse: 847
% 64.58/65.02 Deleted: 646
% 64.58/65.02 Deletedinuse: 13
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 132856
% 64.58/65.02 Kept: 38381
% 64.58/65.02 Inuse: 865
% 64.58/65.02 Deleted: 646
% 64.58/65.02 Deletedinuse: 13
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 137920
% 64.58/65.02 Kept: 40435
% 64.58/65.02 Inuse: 890
% 64.58/65.02 Deleted: 646
% 64.58/65.02 Deletedinuse: 13
% 64.58/65.02
% 64.58/65.02 Resimplifying clauses:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 151748
% 64.58/65.02 Kept: 42436
% 64.58/65.02 Inuse: 959
% 64.58/65.02 Deleted: 1678
% 64.58/65.02 Deletedinuse: 27
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 168605
% 64.58/65.02 Kept: 44665
% 64.58/65.02 Inuse: 1040
% 64.58/65.02 Deleted: 1736
% 64.58/65.02 Deletedinuse: 85
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 177190
% 64.58/65.02 Kept: 46932
% 64.58/65.02 Inuse: 1084
% 64.58/65.02 Deleted: 1737
% 64.58/65.02 Deletedinuse: 85
% 64.58/65.02
% 64.58/65.02 *** allocated 864960 integers for termspace/termends
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 183044
% 64.58/65.02 Kept: 49039
% 64.58/65.02 Inuse: 1095
% 64.58/65.02 Deleted: 1743
% 64.58/65.02 Deletedinuse: 85
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 190474
% 64.58/65.02 Kept: 51167
% 64.58/65.02 Inuse: 1114
% 64.58/65.02 Deleted: 1749
% 64.58/65.02 Deletedinuse: 85
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 *** allocated 4378860 integers for clauses
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 197427
% 64.58/65.02 Kept: 53171
% 64.58/65.02 Inuse: 1132
% 64.58/65.02 Deleted: 1751
% 64.58/65.02 Deletedinuse: 85
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 205070
% 64.58/65.02 Kept: 55272
% 64.58/65.02 Inuse: 1151
% 64.58/65.02 Deleted: 1759
% 64.58/65.02 Deletedinuse: 85
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 221949
% 64.58/65.02 Kept: 57374
% 64.58/65.02 Inuse: 1270
% 64.58/65.02 Deleted: 1795
% 64.58/65.02 Deletedinuse: 85
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 232155
% 64.58/65.02 Kept: 59416
% 64.58/65.02 Inuse: 1315
% 64.58/65.02 Deleted: 1821
% 64.58/65.02 Deletedinuse: 85
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Intermediate Status:
% 64.58/65.02 Generated: 237305
% 64.58/65.02 Kept: 61744
% 64.58/65.02 Inuse: 1330
% 64.58/65.02 Deleted: 1831
% 64.58/65.02 Deletedinuse: 85
% 64.58/65.02
% 64.58/65.02 Resimplifying inuse:
% 64.58/65.02 Done
% 64.58/65.02
% 64.58/65.02 Resimplifying clauses:
% 64.58/65.02
% 64.58/65.02 Bliksems!, er is een bewijs:
% 64.58/65.02 % SZS status Theorem
% 64.58/65.02 % SZS output start Refutation
% 64.58/65.02
% 64.58/65.02 (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 64.58/65.02 (4) {G0,W8,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y ), aInteger0(
% 64.58/65.02 sdtpldt0( X, Y ) ) }.
% 64.58/65.02 (7) {G0,W11,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0(
% 64.58/65.02 X, Y ) = sdtpldt0( Y, X ) }.
% 64.58/65.02 (19) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( sz00, X ) ==> sz00
% 64.58/65.02 }.
% 64.58/65.02 (24) {G0,W8,D2,L3,V2,M3} I { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 64.58/65.02 alpha1( X, Y ) }.
% 64.58/65.02 (27) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 64.58/65.02 (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 64.58/65.02 }.
% 64.58/65.02 (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y )
% 64.58/65.02 ) ==> X }.
% 64.58/65.02 (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 64.58/65.02 alpha2( X, Y ) }.
% 64.58/65.02 (32) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y ), !
% 64.58/65.02 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 64.58/65.02 ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 64.58/65.02 (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 64.58/65.02 (36) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 64.58/65.02 (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 64.58/65.02 (38) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 64.58/65.02 (39) {G0,W4,D2,L1,V0,M1} I { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 64.58/65.02 (40) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq, X ) =
% 64.58/65.02 sdtpldt0( xa, smndt0( xb ) ) }.
% 64.58/65.02 (77) {G1,W3,D3,L1,V0,M1} R(3,36) { aInteger0( smndt0( xb ) ) }.
% 64.58/65.02 (86) {G1,W6,D3,L2,V1,M2} R(4,35) { ! aInteger0( X ), aInteger0( sdtpldt0( X
% 64.58/65.02 , xa ) ) }.
% 64.58/65.02 (241) {G2,W11,D4,L2,V1,M2} R(7,77) { ! aInteger0( X ), sdtpldt0( smndt0( xb
% 64.58/65.02 ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 64.58/65.02 (970) {G1,W5,D3,L1,V0,M1} R(19,37) { sdtasdt0( sz00, xq ) ==> sz00 }.
% 64.58/65.02 (2017) {G2,W6,D2,L2,V1,M2} P(970,31);r(37) { ! sz00 = X, alpha2( X, sz00 )
% 64.58/65.02 }.
% 64.58/65.02 (2057) {G3,W3,D2,L1,V0,M1} Q(2017) { alpha2( sz00, sz00 ) }.
% 64.58/65.02 (2120) {G4,W4,D3,L1,V2,M1} R(2057,29) { aInteger0( skol1( X, Y ) ) }.
% 64.58/65.02 (2143) {G1,W13,D4,L4,V0,M4} R(32,39);r(35) { ! aInteger0( xb ), ! aInteger0
% 64.58/65.02 ( xq ), xq ==> sz00, aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.58/65.02 (2683) {G5,W9,D4,L2,V1,M2} P(30,40);r(2120) { ! X = sdtpldt0( xa, smndt0(
% 64.58/65.02 xb ) ), ! alpha2( X, xq ) }.
% 64.58/65.02 (2695) {G6,W6,D4,L1,V0,M1} Q(2683) { ! alpha2( sdtpldt0( xa, smndt0( xb ) )
% 64.58/65.02 , xq ) }.
% 64.58/65.02 (6594) {G2,W5,D4,L1,V0,M1} R(86,77) { aInteger0( sdtpldt0( smndt0( xb ), xa
% 64.58/65.02 ) ) }.
% 64.58/65.02 (20196) {G2,W6,D4,L1,V0,M1} S(2143);r(36);r(37);r(38) { aDivisorOf0( xq,
% 64.58/65.02 sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.58/65.02 (41905) {G3,W9,D4,L1,V0,M1} R(241,35) { sdtpldt0( xa, smndt0( xb ) ) ==>
% 64.58/65.02 sdtpldt0( smndt0( xb ), xa ) }.
% 64.58/65.02 (45135) {G4,W6,D4,L1,V0,M1} S(20196);d(41905) { aDivisorOf0( xq, sdtpldt0(
% 64.58/65.02 smndt0( xb ), xa ) ) }.
% 64.58/65.02 (45136) {G5,W6,D4,L1,V0,M1} R(45135,24);r(6594) { alpha1( sdtpldt0( smndt0
% 64.58/65.02 ( xb ), xa ), xq ) }.
% 64.58/65.02 (46326) {G6,W6,D4,L1,V0,M1} R(45136,27) { alpha2( sdtpldt0( smndt0( xb ),
% 64.58/65.02 xa ), xq ) }.
% 64.58/65.02 (62306) {G7,W0,D0,L0,V0,M0} S(2695);d(41905);r(46326) { }.
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 % SZS output end Refutation
% 64.58/65.02 found a proof!
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Unprocessed initial clauses:
% 64.58/65.02
% 64.58/65.02 (62308) {G0,W1,D1,L1,V0,M1} { && }.
% 64.58/65.02 (62309) {G0,W2,D2,L1,V0,M1} { aInteger0( sz00 ) }.
% 64.58/65.02 (62310) {G0,W2,D2,L1,V0,M1} { aInteger0( sz10 ) }.
% 64.58/65.02 (62311) {G0,W5,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0( smndt0( X ) )
% 64.58/65.02 }.
% 64.58/65.02 (62312) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 64.58/65.02 aInteger0( sdtpldt0( X, Y ) ) }.
% 64.58/65.02 (62313) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 64.58/65.02 aInteger0( sdtasdt0( X, Y ) ) }.
% 64.58/65.02 (62314) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 64.58/65.02 aInteger0( Z ), sdtpldt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X,
% 64.58/65.02 Y ), Z ) }.
% 64.58/65.02 (62315) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 64.58/65.02 sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 64.58/65.02 (62316) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X
% 64.58/65.02 }.
% 64.58/65.02 (62317) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtpldt0( sz00, X )
% 64.58/65.02 }.
% 64.58/65.02 (62318) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) )
% 64.58/65.02 = sz00 }.
% 64.58/65.02 (62319) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X
% 64.58/65.02 ), X ) }.
% 64.58/65.02 (62320) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 64.58/65.02 aInteger0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X,
% 64.58/65.02 Y ), Z ) }.
% 64.58/65.02 (62321) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 64.58/65.02 sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 64.58/65.02 (62322) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X
% 64.58/65.02 }.
% 64.58/65.02 (62323) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtasdt0( sz10, X )
% 64.58/65.02 }.
% 64.58/65.02 (62324) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 64.58/65.02 aInteger0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X,
% 64.58/65.02 Y ), sdtasdt0( X, Z ) ) }.
% 64.58/65.02 (62325) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 64.58/65.02 aInteger0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X,
% 64.58/65.02 Z ), sdtasdt0( Y, Z ) ) }.
% 64.58/65.02 (62326) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00
% 64.58/65.02 }.
% 64.58/65.02 (62327) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X )
% 64.58/65.02 }.
% 64.58/65.02 (62328) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ),
% 64.58/65.02 X ) = smndt0( X ) }.
% 64.58/65.02 (62329) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X
% 64.58/65.02 , smndt0( sz10 ) ) }.
% 64.58/65.02 (62330) {G0,W15,D3,L5,V2,M5} { ! aInteger0( X ), ! aInteger0( Y ), !
% 64.58/65.02 sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 64.58/65.02 (62331) {G0,W7,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 64.58/65.02 aInteger0( Y ) }.
% 64.58/65.02 (62332) {G0,W8,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 64.58/65.02 alpha1( X, Y ) }.
% 64.58/65.02 (62333) {G0,W10,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 64.58/65.02 alpha1( X, Y ), aDivisorOf0( Y, X ) }.
% 64.58/65.02 (62334) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = sz00 }.
% 64.58/65.02 (62335) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 64.58/65.02 (62336) {G0,W9,D2,L3,V2,M3} { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y )
% 64.58/65.02 }.
% 64.58/65.02 (62337) {G0,W7,D3,L2,V4,M2} { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 64.58/65.02 }.
% 64.58/65.02 (62338) {G0,W10,D4,L2,V2,M2} { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y
% 64.58/65.02 ) ) = X }.
% 64.58/65.02 (62339) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 64.58/65.02 alpha2( X, Y ) }.
% 64.58/65.02 (62340) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 64.58/65.02 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 64.58/65.02 ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 64.58/65.02 (62341) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 64.58/65.02 aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) )
% 64.58/65.02 , sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 64.58/65.02 (62342) {G0,W11,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), Y =
% 64.58/65.02 sz00, sdteqdtlpzmzozddtrp0( X, X, Y ) }.
% 64.58/65.02 (62343) {G0,W2,D2,L1,V0,M1} { aInteger0( xa ) }.
% 64.58/65.02 (62344) {G0,W2,D2,L1,V0,M1} { aInteger0( xb ) }.
% 64.58/65.02 (62345) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 64.58/65.02 (62346) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 64.58/65.02 (62347) {G0,W4,D2,L1,V0,M1} { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 64.58/65.02 (62348) {G0,W10,D4,L2,V1,M2} { ! aInteger0( X ), ! sdtasdt0( xq, X ) =
% 64.58/65.02 sdtpldt0( xa, smndt0( xb ) ) }.
% 64.58/65.02
% 64.58/65.02
% 64.58/65.02 Total Proof:
% 64.58/65.02
% 64.58/65.02 subsumption: (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0(
% 64.58/65.02 smndt0( X ) ) }.
% 64.58/65.02 parent0: (62311) {G0,W5,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0( smndt0
% 64.58/65.02 ( X ) ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y )
% 64.58/65.02 , aInteger0( sdtpldt0( X, Y ) ) }.
% 64.58/65.02 parent0: (62312) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y )
% 64.58/65.02 , aInteger0( sdtpldt0( X, Y ) ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 Y := Y
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 2 ==> 2
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (7) {G0,W11,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y
% 64.58/65.02 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 64.58/65.02 parent0: (62315) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y )
% 64.58/65.02 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 Y := Y
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 2 ==> 2
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 eqswap: (62409) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 64.58/65.02 aInteger0( X ) }.
% 64.58/65.02 parent0[1]: (62327) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sz00 =
% 64.58/65.02 sdtasdt0( sz00, X ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (19) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( sz00
% 64.58/65.02 , X ) ==> sz00 }.
% 64.58/65.02 parent0: (62409) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 64.58/65.02 aInteger0( X ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 1
% 64.58/65.02 1 ==> 0
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (24) {G0,W8,D2,L3,V2,M3} I { ! aInteger0( X ), ! aDivisorOf0(
% 64.58/65.02 Y, X ), alpha1( X, Y ) }.
% 64.58/65.02 parent0: (62332) {G0,W8,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y
% 64.58/65.02 , X ), alpha1( X, Y ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 Y := Y
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 2 ==> 2
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (27) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha2( X, Y )
% 64.58/65.02 }.
% 64.58/65.02 parent0: (62335) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y )
% 64.58/65.02 }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 Y := Y
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0(
% 64.58/65.02 skol1( Z, T ) ) }.
% 64.58/65.02 parent0: (62337) {G0,W7,D3,L2,V4,M2} { ! alpha2( X, Y ), aInteger0( skol1
% 64.58/65.02 ( Z, T ) ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 Y := Y
% 64.58/65.02 Z := Z
% 64.58/65.02 T := T
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y,
% 64.58/65.02 skol1( X, Y ) ) ==> X }.
% 64.58/65.02 parent0: (62338) {G0,W10,D4,L2,V2,M2} { ! alpha2( X, Y ), sdtasdt0( Y,
% 64.58/65.02 skol1( X, Y ) ) = X }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 Y := Y
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y
% 64.58/65.02 , Z ) = X, alpha2( X, Y ) }.
% 64.58/65.02 parent0: (62339) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z
% 64.58/65.02 ) = X, alpha2( X, Y ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 Y := Y
% 64.58/65.02 Z := Z
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 2 ==> 2
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (32) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y
% 64.58/65.02 ), ! aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ),
% 64.58/65.02 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 64.58/65.02 parent0: (62340) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y )
% 64.58/65.02 , ! aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ),
% 64.58/65.02 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 Y := Y
% 64.58/65.02 Z := Z
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 2 ==> 2
% 64.58/65.02 3 ==> 3
% 64.58/65.02 4 ==> 4
% 64.58/65.02 5 ==> 5
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 64.58/65.02 parent0: (62343) {G0,W2,D2,L1,V0,M1} { aInteger0( xa ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (36) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 64.58/65.02 parent0: (62344) {G0,W2,D2,L1,V0,M1} { aInteger0( xb ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 64.58/65.02 parent0: (62345) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (38) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 64.58/65.02 parent0: (62346) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (39) {G0,W4,D2,L1,V0,M1} I { sdteqdtlpzmzozddtrp0( xa, xb, xq
% 64.58/65.02 ) }.
% 64.58/65.02 parent0: (62347) {G0,W4,D2,L1,V0,M1} { sdteqdtlpzmzozddtrp0( xa, xb, xq )
% 64.58/65.02 }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (40) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq
% 64.58/65.02 , X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 64.58/65.02 parent0: (62348) {G0,W10,D4,L2,V1,M2} { ! aInteger0( X ), ! sdtasdt0( xq,
% 64.58/65.02 X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 resolution: (63402) {G1,W3,D3,L1,V0,M1} { aInteger0( smndt0( xb ) ) }.
% 64.58/65.02 parent0[0]: (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0( smndt0
% 64.58/65.02 ( X ) ) }.
% 64.58/65.02 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := xb
% 64.58/65.02 end
% 64.58/65.02 substitution1:
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (77) {G1,W3,D3,L1,V0,M1} R(3,36) { aInteger0( smndt0( xb ) )
% 64.58/65.02 }.
% 64.58/65.02 parent0: (63402) {G1,W3,D3,L1,V0,M1} { aInteger0( smndt0( xb ) ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 resolution: (63404) {G1,W6,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0(
% 64.58/65.02 sdtpldt0( X, xa ) ) }.
% 64.58/65.02 parent0[1]: (4) {G0,W8,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y )
% 64.58/65.02 , aInteger0( sdtpldt0( X, Y ) ) }.
% 64.58/65.02 parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 Y := xa
% 64.58/65.02 end
% 64.58/65.02 substitution1:
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (86) {G1,W6,D3,L2,V1,M2} R(4,35) { ! aInteger0( X ), aInteger0
% 64.58/65.02 ( sdtpldt0( X, xa ) ) }.
% 64.58/65.02 parent0: (63404) {G1,W6,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0(
% 64.58/65.02 sdtpldt0( X, xa ) ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 resolution: (63405) {G1,W11,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0(
% 64.58/65.02 smndt0( xb ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 64.58/65.02 parent0[0]: (7) {G0,W11,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y )
% 64.58/65.02 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 64.58/65.02 parent1[0]: (77) {G1,W3,D3,L1,V0,M1} R(3,36) { aInteger0( smndt0( xb ) )
% 64.58/65.02 }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := smndt0( xb )
% 64.58/65.02 Y := X
% 64.58/65.02 end
% 64.58/65.02 substitution1:
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (241) {G2,W11,D4,L2,V1,M2} R(7,77) { ! aInteger0( X ),
% 64.58/65.02 sdtpldt0( smndt0( xb ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 64.58/65.02 parent0: (63405) {G1,W11,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( smndt0
% 64.58/65.02 ( xb ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 eqswap: (63407) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 64.58/65.02 aInteger0( X ) }.
% 64.58/65.02 parent0[1]: (19) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( sz00,
% 64.58/65.02 X ) ==> sz00 }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 resolution: (63408) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, xq )
% 64.58/65.02 }.
% 64.58/65.02 parent0[1]: (63407) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 64.58/65.02 aInteger0( X ) }.
% 64.58/65.02 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := xq
% 64.58/65.02 end
% 64.58/65.02 substitution1:
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 eqswap: (63409) {G1,W5,D3,L1,V0,M1} { sdtasdt0( sz00, xq ) ==> sz00 }.
% 64.58/65.02 parent0[0]: (63408) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, xq )
% 64.58/65.02 }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (970) {G1,W5,D3,L1,V0,M1} R(19,37) { sdtasdt0( sz00, xq ) ==>
% 64.58/65.02 sz00 }.
% 64.58/65.02 parent0: (63409) {G1,W5,D3,L1,V0,M1} { sdtasdt0( sz00, xq ) ==> sz00 }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 eqswap: (63411) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), ! aInteger0
% 64.58/65.02 ( Y ), alpha2( Z, X ) }.
% 64.58/65.02 parent0[1]: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y,
% 64.58/65.02 Z ) = X, alpha2( X, Y ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := Z
% 64.58/65.02 Y := X
% 64.58/65.02 Z := Y
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 paramod: (63412) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( xq ),
% 64.58/65.02 alpha2( X, sz00 ) }.
% 64.58/65.02 parent0[0]: (970) {G1,W5,D3,L1,V0,M1} R(19,37) { sdtasdt0( sz00, xq ) ==>
% 64.58/65.02 sz00 }.
% 64.58/65.02 parent1[0; 3]: (63411) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), !
% 64.58/65.02 aInteger0( Y ), alpha2( Z, X ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02 substitution1:
% 64.58/65.02 X := sz00
% 64.58/65.02 Y := xq
% 64.58/65.02 Z := X
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 resolution: (63413) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 )
% 64.58/65.02 }.
% 64.58/65.02 parent0[1]: (63412) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( xq ),
% 64.58/65.02 alpha2( X, sz00 ) }.
% 64.58/65.02 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02 substitution1:
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 eqswap: (63414) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, sz00 ) }.
% 64.58/65.02 parent0[0]: (63413) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 )
% 64.58/65.02 }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (2017) {G2,W6,D2,L2,V1,M2} P(970,31);r(37) { ! sz00 = X,
% 64.58/65.02 alpha2( X, sz00 ) }.
% 64.58/65.02 parent0: (63414) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, sz00 ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 1 ==> 1
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 eqswap: (63415) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 ) }.
% 64.58/65.02 parent0[0]: (2017) {G2,W6,D2,L2,V1,M2} P(970,31);r(37) { ! sz00 = X, alpha2
% 64.58/65.02 ( X, sz00 ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := X
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 eqrefl: (63416) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, sz00 ) }.
% 64.58/65.02 parent0[0]: (63415) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 )
% 64.58/65.02 }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := sz00
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (2057) {G3,W3,D2,L1,V0,M1} Q(2017) { alpha2( sz00, sz00 ) }.
% 64.58/65.02 parent0: (63416) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, sz00 ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 end
% 64.58/65.02 permutation0:
% 64.58/65.02 0 ==> 0
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 resolution: (63417) {G1,W4,D3,L1,V2,M1} { aInteger0( skol1( X, Y ) ) }.
% 64.58/65.02 parent0[0]: (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0( skol1
% 64.58/65.02 ( Z, T ) ) }.
% 64.58/65.02 parent1[0]: (2057) {G3,W3,D2,L1,V0,M1} Q(2017) { alpha2( sz00, sz00 ) }.
% 64.58/65.02 substitution0:
% 64.58/65.02 X := sz00
% 64.58/65.02 Y := sz00
% 64.58/65.02 Z := X
% 64.58/65.02 T := Y
% 64.58/65.02 end
% 64.58/65.02 substitution1:
% 64.58/65.02 end
% 64.58/65.02
% 64.58/65.02 subsumption: (2120) {G4,W4,D3,L1,V2,M1} R(2057,29) { aInteger0( skol1( X, Y
% 64.58/65.02 ) ) }.
% 64.58/65.02 parent0: (63417) {G1,W4,D3,L1,V2,M1} { aInteger0( skol1( X, Y ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := X
% 64.67/65.02 Y := Y
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 0
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 eqswap: (63418) {G0,W19,D4,L6,V3,M6} { sz00 = X, ! aInteger0( Y ), !
% 64.67/65.02 aInteger0( Z ), ! aInteger0( X ), ! sdteqdtlpzmzozddtrp0( Y, Z, X ),
% 64.67/65.02 aDivisorOf0( X, sdtpldt0( Y, smndt0( Z ) ) ) }.
% 64.67/65.02 parent0[3]: (32) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y
% 64.67/65.02 ), ! aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ),
% 64.67/65.02 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := Y
% 64.67/65.02 Y := Z
% 64.67/65.02 Z := X
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63419) {G1,W15,D4,L5,V0,M5} { sz00 = xq, ! aInteger0( xa ), !
% 64.67/65.02 aInteger0( xb ), ! aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa,
% 64.67/65.02 smndt0( xb ) ) ) }.
% 64.67/65.02 parent0[4]: (63418) {G0,W19,D4,L6,V3,M6} { sz00 = X, ! aInteger0( Y ), !
% 64.67/65.02 aInteger0( Z ), ! aInteger0( X ), ! sdteqdtlpzmzozddtrp0( Y, Z, X ),
% 64.67/65.02 aDivisorOf0( X, sdtpldt0( Y, smndt0( Z ) ) ) }.
% 64.67/65.02 parent1[0]: (39) {G0,W4,D2,L1,V0,M1} I { sdteqdtlpzmzozddtrp0( xa, xb, xq )
% 64.67/65.02 }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := xq
% 64.67/65.02 Y := xa
% 64.67/65.02 Z := xb
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63420) {G1,W13,D4,L4,V0,M4} { sz00 = xq, ! aInteger0( xb ), !
% 64.67/65.02 aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 parent0[1]: (63419) {G1,W15,D4,L5,V0,M5} { sz00 = xq, ! aInteger0( xa ), !
% 64.67/65.02 aInteger0( xb ), ! aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa,
% 64.67/65.02 smndt0( xb ) ) ) }.
% 64.67/65.02 parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 eqswap: (63421) {G1,W13,D4,L4,V0,M4} { xq = sz00, ! aInteger0( xb ), !
% 64.67/65.02 aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 parent0[0]: (63420) {G1,W13,D4,L4,V0,M4} { sz00 = xq, ! aInteger0( xb ), !
% 64.67/65.02 aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (2143) {G1,W13,D4,L4,V0,M4} R(32,39);r(35) { ! aInteger0( xb )
% 64.67/65.02 , ! aInteger0( xq ), xq ==> sz00, aDivisorOf0( xq, sdtpldt0( xa, smndt0(
% 64.67/65.02 xb ) ) ) }.
% 64.67/65.02 parent0: (63421) {G1,W13,D4,L4,V0,M4} { xq = sz00, ! aInteger0( xb ), !
% 64.67/65.02 aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 2
% 64.67/65.02 1 ==> 0
% 64.67/65.02 2 ==> 1
% 64.67/65.02 3 ==> 3
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 eqswap: (63423) {G0,W10,D4,L2,V1,M2} { ! sdtpldt0( xa, smndt0( xb ) ) =
% 64.67/65.02 sdtasdt0( xq, X ), ! aInteger0( X ) }.
% 64.67/65.02 parent0[1]: (40) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq
% 64.67/65.02 , X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := X
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 paramod: (63424) {G1,W13,D4,L3,V1,M3} { ! sdtpldt0( xa, smndt0( xb ) ) = X
% 64.67/65.02 , ! alpha2( X, xq ), ! aInteger0( skol1( X, xq ) ) }.
% 64.67/65.02 parent0[1]: (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y,
% 64.67/65.02 skol1( X, Y ) ) ==> X }.
% 64.67/65.02 parent1[0; 6]: (63423) {G0,W10,D4,L2,V1,M2} { ! sdtpldt0( xa, smndt0( xb )
% 64.67/65.02 ) = sdtasdt0( xq, X ), ! aInteger0( X ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := X
% 64.67/65.02 Y := xq
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 X := skol1( X, xq )
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63425) {G2,W9,D4,L2,V1,M2} { ! sdtpldt0( xa, smndt0( xb ) ) =
% 64.67/65.02 X, ! alpha2( X, xq ) }.
% 64.67/65.02 parent0[2]: (63424) {G1,W13,D4,L3,V1,M3} { ! sdtpldt0( xa, smndt0( xb ) )
% 64.67/65.02 = X, ! alpha2( X, xq ), ! aInteger0( skol1( X, xq ) ) }.
% 64.67/65.02 parent1[0]: (2120) {G4,W4,D3,L1,V2,M1} R(2057,29) { aInteger0( skol1( X, Y
% 64.67/65.02 ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := X
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 X := X
% 64.67/65.02 Y := xq
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 eqswap: (63426) {G2,W9,D4,L2,V1,M2} { ! X = sdtpldt0( xa, smndt0( xb ) ),
% 64.67/65.02 ! alpha2( X, xq ) }.
% 64.67/65.02 parent0[0]: (63425) {G2,W9,D4,L2,V1,M2} { ! sdtpldt0( xa, smndt0( xb ) ) =
% 64.67/65.02 X, ! alpha2( X, xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := X
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (2683) {G5,W9,D4,L2,V1,M2} P(30,40);r(2120) { ! X = sdtpldt0(
% 64.67/65.02 xa, smndt0( xb ) ), ! alpha2( X, xq ) }.
% 64.67/65.02 parent0: (63426) {G2,W9,D4,L2,V1,M2} { ! X = sdtpldt0( xa, smndt0( xb ) )
% 64.67/65.02 , ! alpha2( X, xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := X
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 0
% 64.67/65.02 1 ==> 1
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 eqswap: (63427) {G5,W9,D4,L2,V1,M2} { ! sdtpldt0( xa, smndt0( xb ) ) = X,
% 64.67/65.02 ! alpha2( X, xq ) }.
% 64.67/65.02 parent0[0]: (2683) {G5,W9,D4,L2,V1,M2} P(30,40);r(2120) { ! X = sdtpldt0(
% 64.67/65.02 xa, smndt0( xb ) ), ! alpha2( X, xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := X
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 eqrefl: (63428) {G0,W6,D4,L1,V0,M1} { ! alpha2( sdtpldt0( xa, smndt0( xb )
% 64.67/65.02 ), xq ) }.
% 64.67/65.02 parent0[0]: (63427) {G5,W9,D4,L2,V1,M2} { ! sdtpldt0( xa, smndt0( xb ) ) =
% 64.67/65.02 X, ! alpha2( X, xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := sdtpldt0( xa, smndt0( xb ) )
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (2695) {G6,W6,D4,L1,V0,M1} Q(2683) { ! alpha2( sdtpldt0( xa,
% 64.67/65.02 smndt0( xb ) ), xq ) }.
% 64.67/65.02 parent0: (63428) {G0,W6,D4,L1,V0,M1} { ! alpha2( sdtpldt0( xa, smndt0( xb
% 64.67/65.02 ) ), xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 0
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63429) {G2,W5,D4,L1,V0,M1} { aInteger0( sdtpldt0( smndt0( xb
% 64.67/65.02 ), xa ) ) }.
% 64.67/65.02 parent0[0]: (86) {G1,W6,D3,L2,V1,M2} R(4,35) { ! aInteger0( X ), aInteger0
% 64.67/65.02 ( sdtpldt0( X, xa ) ) }.
% 64.67/65.02 parent1[0]: (77) {G1,W3,D3,L1,V0,M1} R(3,36) { aInteger0( smndt0( xb ) )
% 64.67/65.02 }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := smndt0( xb )
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (6594) {G2,W5,D4,L1,V0,M1} R(86,77) { aInteger0( sdtpldt0(
% 64.67/65.02 smndt0( xb ), xa ) ) }.
% 64.67/65.02 parent0: (63429) {G2,W5,D4,L1,V0,M1} { aInteger0( sdtpldt0( smndt0( xb ),
% 64.67/65.02 xa ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 0
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63432) {G1,W11,D4,L3,V0,M3} { ! aInteger0( xq ), xq ==> sz00
% 64.67/65.02 , aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 parent0[0]: (2143) {G1,W13,D4,L4,V0,M4} R(32,39);r(35) { ! aInteger0( xb )
% 64.67/65.02 , ! aInteger0( xq ), xq ==> sz00, aDivisorOf0( xq, sdtpldt0( xa, smndt0(
% 64.67/65.02 xb ) ) ) }.
% 64.67/65.02 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63433) {G1,W9,D4,L2,V0,M2} { xq ==> sz00, aDivisorOf0( xq,
% 64.67/65.02 sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 parent0[0]: (63432) {G1,W11,D4,L3,V0,M3} { ! aInteger0( xq ), xq ==> sz00
% 64.67/65.02 , aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63434) {G1,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( xa,
% 64.67/65.02 smndt0( xb ) ) ) }.
% 64.67/65.02 parent0[0]: (38) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 64.67/65.02 parent1[0]: (63433) {G1,W9,D4,L2,V0,M2} { xq ==> sz00, aDivisorOf0( xq,
% 64.67/65.02 sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (20196) {G2,W6,D4,L1,V0,M1} S(2143);r(36);r(37);r(38) {
% 64.67/65.02 aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 parent0: (63434) {G1,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( xa,
% 64.67/65.02 smndt0( xb ) ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 0
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 eqswap: (63435) {G2,W11,D4,L2,V1,M2} { sdtpldt0( X, smndt0( xb ) ) =
% 64.67/65.02 sdtpldt0( smndt0( xb ), X ), ! aInteger0( X ) }.
% 64.67/65.02 parent0[1]: (241) {G2,W11,D4,L2,V1,M2} R(7,77) { ! aInteger0( X ), sdtpldt0
% 64.67/65.02 ( smndt0( xb ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := X
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63436) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xa, smndt0( xb ) ) =
% 64.67/65.02 sdtpldt0( smndt0( xb ), xa ) }.
% 64.67/65.02 parent0[1]: (63435) {G2,W11,D4,L2,V1,M2} { sdtpldt0( X, smndt0( xb ) ) =
% 64.67/65.02 sdtpldt0( smndt0( xb ), X ), ! aInteger0( X ) }.
% 64.67/65.02 parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := xa
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (41905) {G3,W9,D4,L1,V0,M1} R(241,35) { sdtpldt0( xa, smndt0(
% 64.67/65.02 xb ) ) ==> sdtpldt0( smndt0( xb ), xa ) }.
% 64.67/65.02 parent0: (63436) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xa, smndt0( xb ) ) =
% 64.67/65.02 sdtpldt0( smndt0( xb ), xa ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 0
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 paramod: (63439) {G3,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( smndt0(
% 64.67/65.02 xb ), xa ) ) }.
% 64.67/65.02 parent0[0]: (41905) {G3,W9,D4,L1,V0,M1} R(241,35) { sdtpldt0( xa, smndt0(
% 64.67/65.02 xb ) ) ==> sdtpldt0( smndt0( xb ), xa ) }.
% 64.67/65.02 parent1[0; 2]: (20196) {G2,W6,D4,L1,V0,M1} S(2143);r(36);r(37);r(38) {
% 64.67/65.02 aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (45135) {G4,W6,D4,L1,V0,M1} S(20196);d(41905) { aDivisorOf0(
% 64.67/65.02 xq, sdtpldt0( smndt0( xb ), xa ) ) }.
% 64.67/65.02 parent0: (63439) {G3,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( smndt0(
% 64.67/65.02 xb ), xa ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 0
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63440) {G1,W11,D4,L2,V0,M2} { ! aInteger0( sdtpldt0( smndt0(
% 64.67/65.02 xb ), xa ) ), alpha1( sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 64.67/65.02 parent0[1]: (24) {G0,W8,D2,L3,V2,M3} I { ! aInteger0( X ), ! aDivisorOf0( Y
% 64.67/65.02 , X ), alpha1( X, Y ) }.
% 64.67/65.02 parent1[0]: (45135) {G4,W6,D4,L1,V0,M1} S(20196);d(41905) { aDivisorOf0( xq
% 64.67/65.02 , sdtpldt0( smndt0( xb ), xa ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := sdtpldt0( smndt0( xb ), xa )
% 64.67/65.02 Y := xq
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63441) {G2,W6,D4,L1,V0,M1} { alpha1( sdtpldt0( smndt0( xb ),
% 64.67/65.02 xa ), xq ) }.
% 64.67/65.02 parent0[0]: (63440) {G1,W11,D4,L2,V0,M2} { ! aInteger0( sdtpldt0( smndt0(
% 64.67/65.02 xb ), xa ) ), alpha1( sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 64.67/65.02 parent1[0]: (6594) {G2,W5,D4,L1,V0,M1} R(86,77) { aInteger0( sdtpldt0(
% 64.67/65.02 smndt0( xb ), xa ) ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (45136) {G5,W6,D4,L1,V0,M1} R(45135,24);r(6594) { alpha1(
% 64.67/65.02 sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 64.67/65.02 parent0: (63441) {G2,W6,D4,L1,V0,M1} { alpha1( sdtpldt0( smndt0( xb ), xa
% 64.67/65.02 ), xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 0
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63442) {G1,W6,D4,L1,V0,M1} { alpha2( sdtpldt0( smndt0( xb ),
% 64.67/65.02 xa ), xq ) }.
% 64.67/65.02 parent0[0]: (27) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha2( X, Y )
% 64.67/65.02 }.
% 64.67/65.02 parent1[0]: (45136) {G5,W6,D4,L1,V0,M1} R(45135,24);r(6594) { alpha1(
% 64.67/65.02 sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 X := sdtpldt0( smndt0( xb ), xa )
% 64.67/65.02 Y := xq
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (46326) {G6,W6,D4,L1,V0,M1} R(45136,27) { alpha2( sdtpldt0(
% 64.67/65.02 smndt0( xb ), xa ), xq ) }.
% 64.67/65.02 parent0: (63442) {G1,W6,D4,L1,V0,M1} { alpha2( sdtpldt0( smndt0( xb ), xa
% 64.67/65.02 ), xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 0 ==> 0
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 paramod: (63444) {G4,W6,D4,L1,V0,M1} { ! alpha2( sdtpldt0( smndt0( xb ),
% 64.67/65.02 xa ), xq ) }.
% 64.67/65.02 parent0[0]: (41905) {G3,W9,D4,L1,V0,M1} R(241,35) { sdtpldt0( xa, smndt0(
% 64.67/65.02 xb ) ) ==> sdtpldt0( smndt0( xb ), xa ) }.
% 64.67/65.02 parent1[0; 2]: (2695) {G6,W6,D4,L1,V0,M1} Q(2683) { ! alpha2( sdtpldt0( xa
% 64.67/65.02 , smndt0( xb ) ), xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 resolution: (63445) {G5,W0,D0,L0,V0,M0} { }.
% 64.67/65.02 parent0[0]: (63444) {G4,W6,D4,L1,V0,M1} { ! alpha2( sdtpldt0( smndt0( xb )
% 64.67/65.02 , xa ), xq ) }.
% 64.67/65.02 parent1[0]: (46326) {G6,W6,D4,L1,V0,M1} R(45136,27) { alpha2( sdtpldt0(
% 64.67/65.02 smndt0( xb ), xa ), xq ) }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 substitution1:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 subsumption: (62306) {G7,W0,D0,L0,V0,M0} S(2695);d(41905);r(46326) { }.
% 64.67/65.02 parent0: (63445) {G5,W0,D0,L0,V0,M0} { }.
% 64.67/65.02 substitution0:
% 64.67/65.02 end
% 64.67/65.02 permutation0:
% 64.67/65.02 end
% 64.67/65.02
% 64.67/65.02 Proof check complete!
% 64.67/65.02
% 64.67/65.02 Memory use:
% 64.67/65.02
% 64.67/65.02 space for terms: 758962
% 64.67/65.02 space for clauses: 3477099
% 64.67/65.02
% 64.67/65.02
% 64.67/65.02 clauses generated: 243167
% 64.67/65.02 clauses kept: 62307
% 64.67/65.02 clauses selected: 1330
% 64.67/65.02 clauses deleted: 7797
% 64.67/65.02 clauses inuse deleted: 85
% 64.67/65.02
% 64.67/65.02 subsentry: 1006738
% 64.67/65.02 literals s-matched: 380197
% 64.67/65.02 literals matched: 358179
% 64.67/65.02 full subsumption: 148012
% 64.67/65.02
% 64.67/65.02 checksum: 2084942047
% 64.67/65.02
% 64.67/65.02
% 64.67/65.02 Bliksem ended
%------------------------------------------------------------------------------