TSTP Solution File: NUM430+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM430+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 06:22:11 EDT 2022
% Result : Theorem 133.62s 134.04s
% Output : Refutation 133.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM430+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jul 7 16:33:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 8.65/9.03 *** allocated 10000 integers for termspace/termends
% 8.65/9.03 *** allocated 10000 integers for clauses
% 8.65/9.03 *** allocated 10000 integers for justifications
% 8.65/9.03 Bliksem 1.12
% 8.65/9.03
% 8.65/9.03
% 8.65/9.03 Automatic Strategy Selection
% 8.65/9.03
% 8.65/9.03
% 8.65/9.03 Clauses:
% 8.65/9.03
% 8.65/9.03 { && }.
% 8.65/9.03 { aInteger0( sz00 ) }.
% 8.65/9.03 { aInteger0( sz10 ) }.
% 8.65/9.03 { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 8.65/9.03 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtpldt0( X, Y ) ) }.
% 8.65/9.03 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtasdt0( X, Y ) ) }.
% 8.65/9.03 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtpldt0( X,
% 8.65/9.03 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 8.65/9.03 { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }
% 8.65/9.03 .
% 8.65/9.03 { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 8.65/9.03 { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 8.65/9.03 { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) ) = sz00 }.
% 8.65/9.03 { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X ), X ) }.
% 8.65/9.03 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 8.65/9.03 sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 8.65/9.03 { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }
% 8.65/9.04 .
% 8.65/9.04 { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 8.65/9.04 { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 8.65/9.04 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 8.65/9.04 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 8.65/9.04 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( sdtpldt0
% 8.65/9.04 ( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 8.65/9.04 { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 8.65/9.04 { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 8.65/9.04 { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X ) = smndt0( X ) }.
% 8.65/9.04 { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X, smndt0( sz10 ) ) }.
% 8.65/9.04 { ! aInteger0( X ), ! aInteger0( Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00,
% 8.65/9.04 Y = sz00 }.
% 8.65/9.04 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), aInteger0( Y ) }.
% 8.65/9.04 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), alpha1( X, Y ) }.
% 8.65/9.04 { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1( X, Y ), aDivisorOf0( Y, X )
% 8.65/9.04 }.
% 8.65/9.04 { ! alpha1( X, Y ), ! Y = sz00 }.
% 8.65/9.04 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 8.65/9.04 { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 8.65/9.04 { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) ) }.
% 8.65/9.04 { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y ) ) = X }.
% 8.65/9.04 { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X, alpha2( X, Y ) }.
% 8.65/9.04 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 8.65/9.04 sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0( Z, sdtpldt0( X, smndt0( Y )
% 8.65/9.04 ) ) }.
% 8.65/9.04 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 8.65/9.04 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ), sdteqdtlpzmzozddtrp0( X, Y
% 8.65/9.04 , Z ) }.
% 8.65/9.04 { ! aInteger0( X ), ! aInteger0( Y ), Y = sz00, sdteqdtlpzmzozddtrp0( X, X
% 8.65/9.04 , Y ) }.
% 8.65/9.04 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 8.65/9.04 sdteqdtlpzmzozddtrp0( X, Y, Z ), sdteqdtlpzmzozddtrp0( Y, X, Z ) }.
% 8.65/9.04 { aInteger0( xa ) }.
% 8.65/9.04 { aInteger0( xb ) }.
% 8.65/9.04 { aInteger0( xq ) }.
% 8.65/9.04 { ! xq = sz00 }.
% 8.65/9.04 { aInteger0( xc ) }.
% 8.65/9.04 { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 8.65/9.04 { sdteqdtlpzmzozddtrp0( xb, xc, xq ) }.
% 8.65/9.04 { aInteger0( xn ) }.
% 8.65/9.04 { sdtasdt0( xq, xn ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 8.65/9.04 { ! aInteger0( X ), ! sdtasdt0( xq, X ) = sdtpldt0( xb, smndt0( xc ) ) }.
% 8.65/9.04
% 8.65/9.04 percentage equality = 0.260870, percentage horn = 0.869565
% 8.65/9.04 This is a problem with some equality
% 8.65/9.04
% 8.65/9.04
% 8.65/9.04
% 8.65/9.04 Options Used:
% 8.65/9.04
% 8.65/9.04 useres = 1
% 8.65/9.04 useparamod = 1
% 8.65/9.04 useeqrefl = 1
% 8.65/9.04 useeqfact = 1
% 8.65/9.04 usefactor = 1
% 8.65/9.04 usesimpsplitting = 0
% 8.65/9.04 usesimpdemod = 5
% 8.65/9.04 usesimpres = 3
% 8.65/9.04
% 8.65/9.04 resimpinuse = 1000
% 8.65/9.04 resimpclauses = 20000
% 8.65/9.04 substype = eqrewr
% 8.65/9.04 backwardsubs = 1
% 8.65/9.04 selectoldest = 5
% 8.65/9.04
% 8.65/9.04 litorderings [0] = split
% 8.65/9.04 litorderings [1] = extend the termordering, first sorting on arguments
% 8.65/9.04
% 8.65/9.04 termordering = kbo
% 8.65/9.04
% 8.65/9.04 litapriori = 0
% 8.65/9.04 termapriori = 1
% 8.65/9.04 litaposteriori = 0
% 8.65/9.04 termaposteriori = 0
% 8.65/9.04 demodaposteriori = 0
% 8.65/9.04 ordereqreflfact = 0
% 8.65/9.04
% 8.65/9.04 litselect = negord
% 8.65/9.04
% 8.65/9.04 maxweight = 15
% 8.65/9.04 maxdepth = 30000
% 8.65/9.04 maxlength = 115
% 8.65/9.04 maxnrvars = 195
% 8.65/9.04 excuselevel = 1
% 8.65/9.04 increasemaxweight = 1
% 8.65/9.04
% 8.65/9.04 maxselected = 10000000
% 8.65/9.04 maxnrclauses = 10000000
% 8.65/9.04
% 8.65/9.04 showgenerated = 0
% 8.65/9.04 showkept = 0
% 8.65/9.04 showselected = 0
% 8.65/9.04 showdeleted = 0
% 76.45/76.90 showresimp = 1
% 76.45/76.90 showstatus = 2000
% 76.45/76.90
% 76.45/76.90 prologoutput = 0
% 76.45/76.90 nrgoals = 5000000
% 76.45/76.90 totalproof = 1
% 76.45/76.90
% 76.45/76.90 Symbols occurring in the translation:
% 76.45/76.90
% 76.45/76.90 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 76.45/76.90 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 76.45/76.90 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 76.45/76.90 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 76.45/76.90 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 76.45/76.90 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 76.45/76.90 aInteger0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 76.45/76.90 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 76.45/76.90 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 76.45/76.90 smndt0 [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 76.45/76.90 sdtpldt0 [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 76.45/76.90 sdtasdt0 [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 76.45/76.90 aDivisorOf0 [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 76.45/76.90 sdteqdtlpzmzozddtrp0 [45, 3] (w:1, o:53, a:1, s:1, b:0),
% 76.45/76.90 xa [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 76.45/76.90 xb [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 76.45/76.90 xq [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 76.45/76.90 xc [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 76.45/76.90 xn [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 76.45/76.90 alpha1 [51, 2] (w:1, o:50, a:1, s:1, b:1),
% 76.45/76.90 alpha2 [52, 2] (w:1, o:51, a:1, s:1, b:1),
% 76.45/76.90 skol1 [53, 2] (w:1, o:52, a:1, s:1, b:1).
% 76.45/76.90
% 76.45/76.90
% 76.45/76.90 Starting Search:
% 76.45/76.90
% 76.45/76.90 *** allocated 15000 integers for clauses
% 76.45/76.90 *** allocated 22500 integers for clauses
% 76.45/76.90 *** allocated 33750 integers for clauses
% 76.45/76.90 *** allocated 50625 integers for clauses
% 76.45/76.90 *** allocated 75937 integers for clauses
% 76.45/76.90 *** allocated 15000 integers for termspace/termends
% 76.45/76.90 *** allocated 113905 integers for clauses
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 *** allocated 22500 integers for termspace/termends
% 76.45/76.90 *** allocated 170857 integers for clauses
% 76.45/76.90 *** allocated 33750 integers for termspace/termends
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 5305
% 76.45/76.90 Kept: 2000
% 76.45/76.90 Inuse: 143
% 76.45/76.90 Deleted: 7
% 76.45/76.90 Deletedinuse: 5
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 *** allocated 50625 integers for termspace/termends
% 76.45/76.90 *** allocated 256285 integers for clauses
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 *** allocated 75937 integers for termspace/termends
% 76.45/76.90 *** allocated 384427 integers for clauses
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 15998
% 76.45/76.90 Kept: 4049
% 76.45/76.90 Inuse: 271
% 76.45/76.90 Deleted: 11
% 76.45/76.90 Deletedinuse: 6
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 *** allocated 113905 integers for termspace/termends
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 28537
% 76.45/76.90 Kept: 6063
% 76.45/76.90 Inuse: 354
% 76.45/76.90 Deleted: 15
% 76.45/76.90 Deletedinuse: 6
% 76.45/76.90
% 76.45/76.90 *** allocated 576640 integers for clauses
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 35103
% 76.45/76.90 Kept: 8086
% 76.45/76.90 Inuse: 385
% 76.45/76.90 Deleted: 16
% 76.45/76.90 Deletedinuse: 6
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 *** allocated 170857 integers for termspace/termends
% 76.45/76.90 *** allocated 864960 integers for clauses
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 41115
% 76.45/76.90 Kept: 10130
% 76.45/76.90 Inuse: 410
% 76.45/76.90 Deleted: 17
% 76.45/76.90 Deletedinuse: 7
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 45788
% 76.45/76.90 Kept: 12171
% 76.45/76.90 Inuse: 433
% 76.45/76.90 Deleted: 17
% 76.45/76.90 Deletedinuse: 7
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 51317
% 76.45/76.90 Kept: 14306
% 76.45/76.90 Inuse: 476
% 76.45/76.90 Deleted: 17
% 76.45/76.90 Deletedinuse: 7
% 76.45/76.90
% 76.45/76.90 *** allocated 1297440 integers for clauses
% 76.45/76.90 *** allocated 256285 integers for termspace/termends
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 56561
% 76.45/76.90 Kept: 17175
% 76.45/76.90 Inuse: 511
% 76.45/76.90 Deleted: 17
% 76.45/76.90 Deletedinuse: 7
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 62242
% 76.45/76.90 Kept: 20358
% 76.45/76.90 Inuse: 546
% 76.45/76.90 Deleted: 17
% 76.45/76.90 Deletedinuse: 7
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 Resimplifying clauses:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 *** allocated 384427 integers for termspace/termends
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 66539
% 76.45/76.90 Kept: 23213
% 76.45/76.90 Inuse: 556
% 76.45/76.90 Deleted: 626
% 76.45/76.90 Deletedinuse: 8
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90 *** allocated 1946160 integers for clauses
% 76.45/76.90 Resimplifying inuse:
% 76.45/76.90 Done
% 76.45/76.90
% 76.45/76.90
% 76.45/76.90 Intermediate Status:
% 76.45/76.90 Generated: 69895
% 76.45/76.90 Kept: 25249
% 76.45/76.90 Inuse: 571
% 76.45/76.90 Deleted: 626
% 76.45/76.90 Deletedinuse: 8
% 76.45/76.90
% 76.45/76.90 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 74092
% 133.62/134.04 Kept: 27505
% 133.62/134.04 Inuse: 591
% 133.62/134.04 Deleted: 627
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 78413
% 133.62/134.04 Kept: 29838
% 133.62/134.04 Inuse: 606
% 133.62/134.04 Deleted: 627
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 81925
% 133.62/134.04 Kept: 31889
% 133.62/134.04 Inuse: 619
% 133.62/134.04 Deleted: 627
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 *** allocated 576640 integers for termspace/termends
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 86038
% 133.62/134.04 Kept: 34001
% 133.62/134.04 Inuse: 636
% 133.62/134.04 Deleted: 632
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 *** allocated 2919240 integers for clauses
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 93979
% 133.62/134.04 Kept: 36212
% 133.62/134.04 Inuse: 681
% 133.62/134.04 Deleted: 632
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 100516
% 133.62/134.04 Kept: 38519
% 133.62/134.04 Inuse: 721
% 133.62/134.04 Deleted: 632
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 105834
% 133.62/134.04 Kept: 40533
% 133.62/134.04 Inuse: 751
% 133.62/134.04 Deleted: 632
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying clauses:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 126224
% 133.62/134.04 Kept: 42615
% 133.62/134.04 Inuse: 854
% 133.62/134.04 Deleted: 861
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 134918
% 133.62/134.04 Kept: 44753
% 133.62/134.04 Inuse: 878
% 133.62/134.04 Deleted: 861
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 143531
% 133.62/134.04 Kept: 46889
% 133.62/134.04 Inuse: 902
% 133.62/134.04 Deleted: 861
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 149896
% 133.62/134.04 Kept: 49003
% 133.62/134.04 Inuse: 918
% 133.62/134.04 Deleted: 861
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 *** allocated 864960 integers for termspace/termends
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 156343
% 133.62/134.04 Kept: 51123
% 133.62/134.04 Inuse: 934
% 133.62/134.04 Deleted: 861
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 162872
% 133.62/134.04 Kept: 53225
% 133.62/134.04 Inuse: 950
% 133.62/134.04 Deleted: 861
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 *** allocated 4378860 integers for clauses
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 169957
% 133.62/134.04 Kept: 55348
% 133.62/134.04 Inuse: 967
% 133.62/134.04 Deleted: 861
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 176677
% 133.62/134.04 Kept: 57438
% 133.62/134.04 Inuse: 983
% 133.62/134.04 Deleted: 861
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 183465
% 133.62/134.04 Kept: 59528
% 133.62/134.04 Inuse: 999
% 133.62/134.04 Deleted: 861
% 133.62/134.04 Deletedinuse: 9
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying clauses:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 189880
% 133.62/134.04 Kept: 61538
% 133.62/134.04 Inuse: 1013
% 133.62/134.04 Deleted: 2161
% 133.62/134.04 Deletedinuse: 10
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 197431
% 133.62/134.04 Kept: 63975
% 133.62/134.04 Inuse: 1036
% 133.62/134.04 Deleted: 2161
% 133.62/134.04 Deletedinuse: 10
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 202657
% 133.62/134.04 Kept: 66333
% 133.62/134.04 Inuse: 1061
% 133.62/134.04 Deleted: 2161
% 133.62/134.04 Deletedinuse: 10
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 207746
% 133.62/134.04 Kept: 68363
% 133.62/134.04 Inuse: 1086
% 133.62/134.04 Deleted: 2161
% 133.62/134.04 Deletedinuse: 10
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 222603
% 133.62/134.04 Kept: 70411
% 133.62/134.04 Inuse: 1146
% 133.62/134.04 Deleted: 2177
% 133.62/134.04 Deletedinuse: 26
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 230702
% 133.62/134.04 Kept: 72448
% 133.62/134.04 Inuse: 1176
% 133.62/134.04 Deleted: 2254
% 133.62/134.04 Deletedinuse: 103
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 250730
% 133.62/134.04 Kept: 74561
% 133.62/134.04 Inuse: 1224
% 133.62/134.04 Deleted: 2315
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 *** allocated 1297440 integers for termspace/termends
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 258376
% 133.62/134.04 Kept: 76702
% 133.62/134.04 Inuse: 1251
% 133.62/134.04 Deleted: 2315
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 *** allocated 6568290 integers for clauses
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 265809
% 133.62/134.04 Kept: 79069
% 133.62/134.04 Inuse: 1282
% 133.62/134.04 Deleted: 2315
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 291649
% 133.62/134.04 Kept: 81122
% 133.62/134.04 Inuse: 1440
% 133.62/134.04 Deleted: 2347
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying clauses:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 314930
% 133.62/134.04 Kept: 83282
% 133.62/134.04 Inuse: 1487
% 133.62/134.04 Deleted: 16835
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 320973
% 133.62/134.04 Kept: 85354
% 133.62/134.04 Inuse: 1500
% 133.62/134.04 Deleted: 16835
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 325480
% 133.62/134.04 Kept: 87587
% 133.62/134.04 Inuse: 1511
% 133.62/134.04 Deleted: 16835
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 330451
% 133.62/134.04 Kept: 89631
% 133.62/134.04 Inuse: 1529
% 133.62/134.04 Deleted: 16835
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 336409
% 133.62/134.04 Kept: 91878
% 133.62/134.04 Inuse: 1556
% 133.62/134.04 Deleted: 16835
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 342805
% 133.62/134.04 Kept: 93970
% 133.62/134.04 Inuse: 1569
% 133.62/134.04 Deleted: 16835
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Intermediate Status:
% 133.62/134.04 Generated: 356049
% 133.62/134.04 Kept: 95986
% 133.62/134.04 Inuse: 1652
% 133.62/134.04 Deleted: 16835
% 133.62/134.04 Deletedinuse: 145
% 133.62/134.04
% 133.62/134.04 Resimplifying inuse:
% 133.62/134.04 Done
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Bliksems!, er is een bewijs:
% 133.62/134.04 % SZS status Theorem
% 133.62/134.04 % SZS output start Refutation
% 133.62/134.04
% 133.62/134.04 (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 133.62/134.04 (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 133.62/134.04 (4) {G0,W8,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y ), aInteger0(
% 133.62/134.04 sdtpldt0( X, Y ) ) }.
% 133.62/134.04 (7) {G0,W11,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0(
% 133.62/134.04 X, Y ) = sdtpldt0( Y, X ) }.
% 133.62/134.04 (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X, sz00 ) ==> sz00
% 133.62/134.04 }.
% 133.62/134.04 (24) {G0,W8,D2,L3,V2,M3} I { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 133.62/134.04 alpha1( X, Y ) }.
% 133.62/134.04 (27) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 133.62/134.04 (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 133.62/134.04 }.
% 133.62/134.04 (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y )
% 133.62/134.04 ) ==> X }.
% 133.62/134.04 (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 133.62/134.04 alpha2( X, Y ) }.
% 133.62/134.04 (32) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 133.62/134.04 ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 133.62/134.04 (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 133.62/134.04 (38) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 133.62/134.04 (39) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 133.62/134.04 (40) {G0,W2,D2,L1,V0,M1} I { aInteger0( xc ) }.
% 133.62/134.04 (42) {G0,W4,D2,L1,V0,M1} I { sdteqdtlpzmzozddtrp0( xb, xc, xq ) }.
% 133.62/134.04 (43) {G0,W2,D2,L1,V0,M1} I { aInteger0( xn ) }.
% 133.62/134.04 (45) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq, X ) =
% 133.62/134.04 sdtpldt0( xb, smndt0( xc ) ) }.
% 133.62/134.04 (86) {G1,W3,D3,L1,V0,M1} R(3,40) { aInteger0( smndt0( xc ) ) }.
% 133.62/134.04 (109) {G1,W6,D3,L2,V1,M2} R(4,37) { ! aInteger0( X ), aInteger0( sdtpldt0(
% 133.62/134.04 X, xb ) ) }.
% 133.62/134.04 (280) {G2,W11,D4,L2,V1,M2} R(7,86) { ! aInteger0( X ), sdtpldt0( smndt0( xc
% 133.62/134.04 ), X ) = sdtpldt0( X, smndt0( xc ) ) }.
% 133.62/134.04 (893) {G1,W5,D3,L1,V0,M1} R(18,43) { sdtasdt0( xn, sz00 ) ==> sz00 }.
% 133.62/134.04 (1879) {G2,W6,D2,L2,V1,M2} P(893,31);r(1) { ! sz00 = X, alpha2( X, xn ) }.
% 133.62/134.04 (1933) {G3,W3,D2,L1,V0,M1} Q(1879) { alpha2( sz00, xn ) }.
% 133.62/134.04 (1993) {G4,W4,D3,L1,V2,M1} R(1933,29) { aInteger0( skol1( X, Y ) ) }.
% 133.62/134.04 (2012) {G1,W13,D4,L4,V0,M4} R(32,42);r(37) { ! aInteger0( xc ), ! aInteger0
% 133.62/134.04 ( xq ), xq ==> sz00, aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 (2717) {G5,W9,D4,L2,V1,M2} P(30,45);r(1993) { ! X = sdtpldt0( xb, smndt0(
% 133.62/134.04 xc ) ), ! alpha2( X, xq ) }.
% 133.62/134.04 (2729) {G6,W6,D4,L1,V0,M1} Q(2717) { ! alpha2( sdtpldt0( xb, smndt0( xc ) )
% 133.62/134.04 , xq ) }.
% 133.62/134.04 (11198) {G2,W5,D4,L1,V0,M1} R(109,86) { aInteger0( sdtpldt0( smndt0( xc ),
% 133.62/134.04 xb ) ) }.
% 133.62/134.04 (20454) {G2,W6,D4,L1,V0,M1} S(2012);r(40);r(38);r(39) { aDivisorOf0( xq,
% 133.62/134.04 sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 (69505) {G3,W9,D4,L1,V0,M1} R(280,37) { sdtpldt0( xb, smndt0( xc ) ) ==>
% 133.62/134.04 sdtpldt0( smndt0( xc ), xb ) }.
% 133.62/134.04 (82277) {G4,W6,D4,L1,V0,M1} S(20454);d(69505) { aDivisorOf0( xq, sdtpldt0(
% 133.62/134.04 smndt0( xc ), xb ) ) }.
% 133.62/134.04 (82453) {G7,W6,D4,L1,V0,M1} S(2729);d(69505) { ! alpha2( sdtpldt0( smndt0(
% 133.62/134.04 xc ), xb ), xq ) }.
% 133.62/134.04 (96041) {G5,W6,D4,L1,V0,M1} R(82277,24);r(11198) { alpha1( sdtpldt0( smndt0
% 133.62/134.04 ( xc ), xb ), xq ) }.
% 133.62/134.04 (96264) {G8,W0,D0,L0,V0,M0} R(96041,27);r(82453) { }.
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 % SZS output end Refutation
% 133.62/134.04 found a proof!
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Unprocessed initial clauses:
% 133.62/134.04
% 133.62/134.04 (96266) {G0,W1,D1,L1,V0,M1} { && }.
% 133.62/134.04 (96267) {G0,W2,D2,L1,V0,M1} { aInteger0( sz00 ) }.
% 133.62/134.04 (96268) {G0,W2,D2,L1,V0,M1} { aInteger0( sz10 ) }.
% 133.62/134.04 (96269) {G0,W5,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0( smndt0( X ) )
% 133.62/134.04 }.
% 133.62/134.04 (96270) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 133.62/134.04 aInteger0( sdtpldt0( X, Y ) ) }.
% 133.62/134.04 (96271) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 133.62/134.04 aInteger0( sdtasdt0( X, Y ) ) }.
% 133.62/134.04 (96272) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), sdtpldt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X,
% 133.62/134.04 Y ), Z ) }.
% 133.62/134.04 (96273) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 133.62/134.04 sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 133.62/134.04 (96274) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X
% 133.62/134.04 }.
% 133.62/134.04 (96275) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtpldt0( sz00, X )
% 133.62/134.04 }.
% 133.62/134.04 (96276) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) )
% 133.62/134.04 = sz00 }.
% 133.62/134.04 (96277) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X
% 133.62/134.04 ), X ) }.
% 133.62/134.04 (96278) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X,
% 133.62/134.04 Y ), Z ) }.
% 133.62/134.04 (96279) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 133.62/134.04 sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 133.62/134.04 (96280) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X
% 133.62/134.04 }.
% 133.62/134.04 (96281) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtasdt0( sz10, X )
% 133.62/134.04 }.
% 133.62/134.04 (96282) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X,
% 133.62/134.04 Y ), sdtasdt0( X, Z ) ) }.
% 133.62/134.04 (96283) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X,
% 133.62/134.04 Z ), sdtasdt0( Y, Z ) ) }.
% 133.62/134.04 (96284) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00
% 133.62/134.04 }.
% 133.62/134.04 (96285) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X )
% 133.62/134.04 }.
% 133.62/134.04 (96286) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ),
% 133.62/134.04 X ) = smndt0( X ) }.
% 133.62/134.04 (96287) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X
% 133.62/134.04 , smndt0( sz10 ) ) }.
% 133.62/134.04 (96288) {G0,W15,D3,L5,V2,M5} { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 133.62/134.04 (96289) {G0,W7,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 133.62/134.04 aInteger0( Y ) }.
% 133.62/134.04 (96290) {G0,W8,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 133.62/134.04 alpha1( X, Y ) }.
% 133.62/134.04 (96291) {G0,W10,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 alpha1( X, Y ), aDivisorOf0( Y, X ) }.
% 133.62/134.04 (96292) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = sz00 }.
% 133.62/134.04 (96293) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 133.62/134.04 (96294) {G0,W9,D2,L3,V2,M3} { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y )
% 133.62/134.04 }.
% 133.62/134.04 (96295) {G0,W7,D3,L2,V4,M2} { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 133.62/134.04 }.
% 133.62/134.04 (96296) {G0,W10,D4,L2,V2,M2} { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y
% 133.62/134.04 ) ) = X }.
% 133.62/134.04 (96297) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 133.62/134.04 alpha2( X, Y ) }.
% 133.62/134.04 (96298) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 133.62/134.04 ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 133.62/134.04 (96299) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) )
% 133.62/134.04 , sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 133.62/134.04 (96300) {G0,W11,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), Y =
% 133.62/134.04 sz00, sdteqdtlpzmzozddtrp0( X, X, Y ) }.
% 133.62/134.04 (96301) {G0,W17,D2,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ),
% 133.62/134.04 sdteqdtlpzmzozddtrp0( Y, X, Z ) }.
% 133.62/134.04 (96302) {G0,W2,D2,L1,V0,M1} { aInteger0( xa ) }.
% 133.62/134.04 (96303) {G0,W2,D2,L1,V0,M1} { aInteger0( xb ) }.
% 133.62/134.04 (96304) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 133.62/134.04 (96305) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 133.62/134.04 (96306) {G0,W2,D2,L1,V0,M1} { aInteger0( xc ) }.
% 133.62/134.04 (96307) {G0,W4,D2,L1,V0,M1} { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 133.62/134.04 (96308) {G0,W4,D2,L1,V0,M1} { sdteqdtlpzmzozddtrp0( xb, xc, xq ) }.
% 133.62/134.04 (96309) {G0,W2,D2,L1,V0,M1} { aInteger0( xn ) }.
% 133.62/134.04 (96310) {G0,W8,D4,L1,V0,M1} { sdtasdt0( xq, xn ) = sdtpldt0( xa, smndt0(
% 133.62/134.04 xb ) ) }.
% 133.62/134.04 (96311) {G0,W10,D4,L2,V1,M2} { ! aInteger0( X ), ! sdtasdt0( xq, X ) =
% 133.62/134.04 sdtpldt0( xb, smndt0( xc ) ) }.
% 133.62/134.04
% 133.62/134.04
% 133.62/134.04 Total Proof:
% 133.62/134.04
% 133.62/134.04 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 133.62/134.04 parent0: (96267) {G0,W2,D2,L1,V0,M1} { aInteger0( sz00 ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0(
% 133.62/134.04 smndt0( X ) ) }.
% 133.62/134.04 parent0: (96269) {G0,W5,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0( smndt0
% 133.62/134.04 ( X ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y )
% 133.62/134.04 , aInteger0( sdtpldt0( X, Y ) ) }.
% 133.62/134.04 parent0: (96270) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y )
% 133.62/134.04 , aInteger0( sdtpldt0( X, Y ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := Y
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 2 ==> 2
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (7) {G0,W11,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y
% 133.62/134.04 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 133.62/134.04 parent0: (96273) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y )
% 133.62/134.04 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := Y
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 2 ==> 2
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X,
% 133.62/134.04 sz00 ) ==> sz00 }.
% 133.62/134.04 parent0: (96284) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz00
% 133.62/134.04 ) = sz00 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (24) {G0,W8,D2,L3,V2,M3} I { ! aInteger0( X ), ! aDivisorOf0(
% 133.62/134.04 Y, X ), alpha1( X, Y ) }.
% 133.62/134.04 parent0: (96290) {G0,W8,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y
% 133.62/134.04 , X ), alpha1( X, Y ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := Y
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 2 ==> 2
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (27) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha2( X, Y )
% 133.62/134.04 }.
% 133.62/134.04 parent0: (96293) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y )
% 133.62/134.04 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := Y
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0(
% 133.62/134.04 skol1( Z, T ) ) }.
% 133.62/134.04 parent0: (96295) {G0,W7,D3,L2,V4,M2} { ! alpha2( X, Y ), aInteger0( skol1
% 133.62/134.04 ( Z, T ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := Y
% 133.62/134.04 Z := Z
% 133.62/134.04 T := T
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y,
% 133.62/134.04 skol1( X, Y ) ) ==> X }.
% 133.62/134.04 parent0: (96296) {G0,W10,D4,L2,V2,M2} { ! alpha2( X, Y ), sdtasdt0( Y,
% 133.62/134.04 skol1( X, Y ) ) = X }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := Y
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y
% 133.62/134.04 , Z ) = X, alpha2( X, Y ) }.
% 133.62/134.04 parent0: (96297) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z
% 133.62/134.04 ) = X, alpha2( X, Y ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := Y
% 133.62/134.04 Z := Z
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 2 ==> 2
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (32) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y
% 133.62/134.04 ), ! aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ),
% 133.62/134.04 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 133.62/134.04 parent0: (96298) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y )
% 133.62/134.04 , ! aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ),
% 133.62/134.04 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := Y
% 133.62/134.04 Z := Z
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 2 ==> 2
% 133.62/134.04 3 ==> 3
% 133.62/134.04 4 ==> 4
% 133.62/134.04 5 ==> 5
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 133.62/134.04 parent0: (96303) {G0,W2,D2,L1,V0,M1} { aInteger0( xb ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (38) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 133.62/134.04 parent0: (96304) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (39) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 133.62/134.04 parent0: (96305) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (40) {G0,W2,D2,L1,V0,M1} I { aInteger0( xc ) }.
% 133.62/134.04 parent0: (96306) {G0,W2,D2,L1,V0,M1} { aInteger0( xc ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (42) {G0,W4,D2,L1,V0,M1} I { sdteqdtlpzmzozddtrp0( xb, xc, xq
% 133.62/134.04 ) }.
% 133.62/134.04 parent0: (96308) {G0,W4,D2,L1,V0,M1} { sdteqdtlpzmzozddtrp0( xb, xc, xq )
% 133.62/134.04 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (43) {G0,W2,D2,L1,V0,M1} I { aInteger0( xn ) }.
% 133.62/134.04 parent0: (96309) {G0,W2,D2,L1,V0,M1} { aInteger0( xn ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (45) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq
% 133.62/134.04 , X ) = sdtpldt0( xb, smndt0( xc ) ) }.
% 133.62/134.04 parent0: (96311) {G0,W10,D4,L2,V1,M2} { ! aInteger0( X ), ! sdtasdt0( xq,
% 133.62/134.04 X ) = sdtpldt0( xb, smndt0( xc ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97523) {G1,W3,D3,L1,V0,M1} { aInteger0( smndt0( xc ) ) }.
% 133.62/134.04 parent0[0]: (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0( smndt0
% 133.62/134.04 ( X ) ) }.
% 133.62/134.04 parent1[0]: (40) {G0,W2,D2,L1,V0,M1} I { aInteger0( xc ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := xc
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (86) {G1,W3,D3,L1,V0,M1} R(3,40) { aInteger0( smndt0( xc ) )
% 133.62/134.04 }.
% 133.62/134.04 parent0: (97523) {G1,W3,D3,L1,V0,M1} { aInteger0( smndt0( xc ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97525) {G1,W6,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0(
% 133.62/134.04 sdtpldt0( X, xb ) ) }.
% 133.62/134.04 parent0[1]: (4) {G0,W8,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y )
% 133.62/134.04 , aInteger0( sdtpldt0( X, Y ) ) }.
% 133.62/134.04 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := xb
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (109) {G1,W6,D3,L2,V1,M2} R(4,37) { ! aInteger0( X ),
% 133.62/134.04 aInteger0( sdtpldt0( X, xb ) ) }.
% 133.62/134.04 parent0: (97525) {G1,W6,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0(
% 133.62/134.04 sdtpldt0( X, xb ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97526) {G1,W11,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0(
% 133.62/134.04 smndt0( xc ), X ) = sdtpldt0( X, smndt0( xc ) ) }.
% 133.62/134.04 parent0[0]: (7) {G0,W11,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y )
% 133.62/134.04 , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 133.62/134.04 parent1[0]: (86) {G1,W3,D3,L1,V0,M1} R(3,40) { aInteger0( smndt0( xc ) )
% 133.62/134.04 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := smndt0( xc )
% 133.62/134.04 Y := X
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (280) {G2,W11,D4,L2,V1,M2} R(7,86) { ! aInteger0( X ),
% 133.62/134.04 sdtpldt0( smndt0( xc ), X ) = sdtpldt0( X, smndt0( xc ) ) }.
% 133.62/134.04 parent0: (97526) {G1,W11,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( smndt0
% 133.62/134.04 ( xc ), X ) = sdtpldt0( X, smndt0( xc ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97528) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 133.62/134.04 aInteger0( X ) }.
% 133.62/134.04 parent0[1]: (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X,
% 133.62/134.04 sz00 ) ==> sz00 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97529) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xn, sz00 )
% 133.62/134.04 }.
% 133.62/134.04 parent0[1]: (97528) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 133.62/134.04 aInteger0( X ) }.
% 133.62/134.04 parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { aInteger0( xn ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := xn
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97530) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xn, sz00 ) ==> sz00 }.
% 133.62/134.04 parent0[0]: (97529) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xn, sz00 )
% 133.62/134.04 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (893) {G1,W5,D3,L1,V0,M1} R(18,43) { sdtasdt0( xn, sz00 ) ==>
% 133.62/134.04 sz00 }.
% 133.62/134.04 parent0: (97530) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xn, sz00 ) ==> sz00 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97532) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), ! aInteger0
% 133.62/134.04 ( Y ), alpha2( Z, X ) }.
% 133.62/134.04 parent0[1]: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y,
% 133.62/134.04 Z ) = X, alpha2( X, Y ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := Z
% 133.62/134.04 Y := X
% 133.62/134.04 Z := Y
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 paramod: (97533) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( sz00 ),
% 133.62/134.04 alpha2( X, xn ) }.
% 133.62/134.04 parent0[0]: (893) {G1,W5,D3,L1,V0,M1} R(18,43) { sdtasdt0( xn, sz00 ) ==>
% 133.62/134.04 sz00 }.
% 133.62/134.04 parent1[0; 3]: (97532) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), !
% 133.62/134.04 aInteger0( Y ), alpha2( Z, X ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 X := xn
% 133.62/134.04 Y := sz00
% 133.62/134.04 Z := X
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97534) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xn ) }.
% 133.62/134.04 parent0[1]: (97533) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( sz00 )
% 133.62/134.04 , alpha2( X, xn ) }.
% 133.62/134.04 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97535) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, xn ) }.
% 133.62/134.04 parent0[0]: (97534) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xn ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (1879) {G2,W6,D2,L2,V1,M2} P(893,31);r(1) { ! sz00 = X, alpha2
% 133.62/134.04 ( X, xn ) }.
% 133.62/134.04 parent0: (97535) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, xn ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97536) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xn ) }.
% 133.62/134.04 parent0[0]: (1879) {G2,W6,D2,L2,V1,M2} P(893,31);r(1) { ! sz00 = X, alpha2
% 133.62/134.04 ( X, xn ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqrefl: (97537) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, xn ) }.
% 133.62/134.04 parent0[0]: (97536) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xn ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := sz00
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (1933) {G3,W3,D2,L1,V0,M1} Q(1879) { alpha2( sz00, xn ) }.
% 133.62/134.04 parent0: (97537) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, xn ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97538) {G1,W4,D3,L1,V2,M1} { aInteger0( skol1( X, Y ) ) }.
% 133.62/134.04 parent0[0]: (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0( skol1
% 133.62/134.04 ( Z, T ) ) }.
% 133.62/134.04 parent1[0]: (1933) {G3,W3,D2,L1,V0,M1} Q(1879) { alpha2( sz00, xn ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := sz00
% 133.62/134.04 Y := xn
% 133.62/134.04 Z := X
% 133.62/134.04 T := Y
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (1993) {G4,W4,D3,L1,V2,M1} R(1933,29) { aInteger0( skol1( X, Y
% 133.62/134.04 ) ) }.
% 133.62/134.04 parent0: (97538) {G1,W4,D3,L1,V2,M1} { aInteger0( skol1( X, Y ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := Y
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97539) {G0,W19,D4,L6,V3,M6} { sz00 = X, ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), ! aInteger0( X ), ! sdteqdtlpzmzozddtrp0( Y, Z, X ),
% 133.62/134.04 aDivisorOf0( X, sdtpldt0( Y, smndt0( Z ) ) ) }.
% 133.62/134.04 parent0[3]: (32) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y
% 133.62/134.04 ), ! aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ),
% 133.62/134.04 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := Y
% 133.62/134.04 Y := Z
% 133.62/134.04 Z := X
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97540) {G1,W15,D4,L5,V0,M5} { sz00 = xq, ! aInteger0( xb ), !
% 133.62/134.04 aInteger0( xc ), ! aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xb,
% 133.62/134.04 smndt0( xc ) ) ) }.
% 133.62/134.04 parent0[4]: (97539) {G0,W19,D4,L6,V3,M6} { sz00 = X, ! aInteger0( Y ), !
% 133.62/134.04 aInteger0( Z ), ! aInteger0( X ), ! sdteqdtlpzmzozddtrp0( Y, Z, X ),
% 133.62/134.04 aDivisorOf0( X, sdtpldt0( Y, smndt0( Z ) ) ) }.
% 133.62/134.04 parent1[0]: (42) {G0,W4,D2,L1,V0,M1} I { sdteqdtlpzmzozddtrp0( xb, xc, xq )
% 133.62/134.04 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := xq
% 133.62/134.04 Y := xb
% 133.62/134.04 Z := xc
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97541) {G1,W13,D4,L4,V0,M4} { sz00 = xq, ! aInteger0( xc ), !
% 133.62/134.04 aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 parent0[1]: (97540) {G1,W15,D4,L5,V0,M5} { sz00 = xq, ! aInteger0( xb ), !
% 133.62/134.04 aInteger0( xc ), ! aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xb,
% 133.62/134.04 smndt0( xc ) ) ) }.
% 133.62/134.04 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97542) {G1,W13,D4,L4,V0,M4} { xq = sz00, ! aInteger0( xc ), !
% 133.62/134.04 aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 parent0[0]: (97541) {G1,W13,D4,L4,V0,M4} { sz00 = xq, ! aInteger0( xc ), !
% 133.62/134.04 aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (2012) {G1,W13,D4,L4,V0,M4} R(32,42);r(37) { ! aInteger0( xc )
% 133.62/134.04 , ! aInteger0( xq ), xq ==> sz00, aDivisorOf0( xq, sdtpldt0( xb, smndt0(
% 133.62/134.04 xc ) ) ) }.
% 133.62/134.04 parent0: (97542) {G1,W13,D4,L4,V0,M4} { xq = sz00, ! aInteger0( xc ), !
% 133.62/134.04 aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 2
% 133.62/134.04 1 ==> 0
% 133.62/134.04 2 ==> 1
% 133.62/134.04 3 ==> 3
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97544) {G0,W10,D4,L2,V1,M2} { ! sdtpldt0( xb, smndt0( xc ) ) =
% 133.62/134.04 sdtasdt0( xq, X ), ! aInteger0( X ) }.
% 133.62/134.04 parent0[1]: (45) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq
% 133.62/134.04 , X ) = sdtpldt0( xb, smndt0( xc ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 paramod: (97545) {G1,W13,D4,L3,V1,M3} { ! sdtpldt0( xb, smndt0( xc ) ) = X
% 133.62/134.04 , ! alpha2( X, xq ), ! aInteger0( skol1( X, xq ) ) }.
% 133.62/134.04 parent0[1]: (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y,
% 133.62/134.04 skol1( X, Y ) ) ==> X }.
% 133.62/134.04 parent1[0; 6]: (97544) {G0,W10,D4,L2,V1,M2} { ! sdtpldt0( xb, smndt0( xc )
% 133.62/134.04 ) = sdtasdt0( xq, X ), ! aInteger0( X ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 Y := xq
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 X := skol1( X, xq )
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97546) {G2,W9,D4,L2,V1,M2} { ! sdtpldt0( xb, smndt0( xc ) ) =
% 133.62/134.04 X, ! alpha2( X, xq ) }.
% 133.62/134.04 parent0[2]: (97545) {G1,W13,D4,L3,V1,M3} { ! sdtpldt0( xb, smndt0( xc ) )
% 133.62/134.04 = X, ! alpha2( X, xq ), ! aInteger0( skol1( X, xq ) ) }.
% 133.62/134.04 parent1[0]: (1993) {G4,W4,D3,L1,V2,M1} R(1933,29) { aInteger0( skol1( X, Y
% 133.62/134.04 ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 X := X
% 133.62/134.04 Y := xq
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97547) {G2,W9,D4,L2,V1,M2} { ! X = sdtpldt0( xb, smndt0( xc ) ),
% 133.62/134.04 ! alpha2( X, xq ) }.
% 133.62/134.04 parent0[0]: (97546) {G2,W9,D4,L2,V1,M2} { ! sdtpldt0( xb, smndt0( xc ) ) =
% 133.62/134.04 X, ! alpha2( X, xq ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (2717) {G5,W9,D4,L2,V1,M2} P(30,45);r(1993) { ! X = sdtpldt0(
% 133.62/134.04 xb, smndt0( xc ) ), ! alpha2( X, xq ) }.
% 133.62/134.04 parent0: (97547) {G2,W9,D4,L2,V1,M2} { ! X = sdtpldt0( xb, smndt0( xc ) )
% 133.62/134.04 , ! alpha2( X, xq ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 1 ==> 1
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97548) {G5,W9,D4,L2,V1,M2} { ! sdtpldt0( xb, smndt0( xc ) ) = X,
% 133.62/134.04 ! alpha2( X, xq ) }.
% 133.62/134.04 parent0[0]: (2717) {G5,W9,D4,L2,V1,M2} P(30,45);r(1993) { ! X = sdtpldt0(
% 133.62/134.04 xb, smndt0( xc ) ), ! alpha2( X, xq ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqrefl: (97549) {G0,W6,D4,L1,V0,M1} { ! alpha2( sdtpldt0( xb, smndt0( xc )
% 133.62/134.04 ), xq ) }.
% 133.62/134.04 parent0[0]: (97548) {G5,W9,D4,L2,V1,M2} { ! sdtpldt0( xb, smndt0( xc ) ) =
% 133.62/134.04 X, ! alpha2( X, xq ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := sdtpldt0( xb, smndt0( xc ) )
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (2729) {G6,W6,D4,L1,V0,M1} Q(2717) { ! alpha2( sdtpldt0( xb,
% 133.62/134.04 smndt0( xc ) ), xq ) }.
% 133.62/134.04 parent0: (97549) {G0,W6,D4,L1,V0,M1} { ! alpha2( sdtpldt0( xb, smndt0( xc
% 133.62/134.04 ) ), xq ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97550) {G2,W5,D4,L1,V0,M1} { aInteger0( sdtpldt0( smndt0( xc
% 133.62/134.04 ), xb ) ) }.
% 133.62/134.04 parent0[0]: (109) {G1,W6,D3,L2,V1,M2} R(4,37) { ! aInteger0( X ), aInteger0
% 133.62/134.04 ( sdtpldt0( X, xb ) ) }.
% 133.62/134.04 parent1[0]: (86) {G1,W3,D3,L1,V0,M1} R(3,40) { aInteger0( smndt0( xc ) )
% 133.62/134.04 }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := smndt0( xc )
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (11198) {G2,W5,D4,L1,V0,M1} R(109,86) { aInteger0( sdtpldt0(
% 133.62/134.04 smndt0( xc ), xb ) ) }.
% 133.62/134.04 parent0: (97550) {G2,W5,D4,L1,V0,M1} { aInteger0( sdtpldt0( smndt0( xc ),
% 133.62/134.04 xb ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97553) {G1,W11,D4,L3,V0,M3} { ! aInteger0( xq ), xq ==> sz00
% 133.62/134.04 , aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 parent0[0]: (2012) {G1,W13,D4,L4,V0,M4} R(32,42);r(37) { ! aInteger0( xc )
% 133.62/134.04 , ! aInteger0( xq ), xq ==> sz00, aDivisorOf0( xq, sdtpldt0( xb, smndt0(
% 133.62/134.04 xc ) ) ) }.
% 133.62/134.04 parent1[0]: (40) {G0,W2,D2,L1,V0,M1} I { aInteger0( xc ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97554) {G1,W9,D4,L2,V0,M2} { xq ==> sz00, aDivisorOf0( xq,
% 133.62/134.04 sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 parent0[0]: (97553) {G1,W11,D4,L3,V0,M3} { ! aInteger0( xq ), xq ==> sz00
% 133.62/134.04 , aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 parent1[0]: (38) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97555) {G1,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( xb,
% 133.62/134.04 smndt0( xc ) ) ) }.
% 133.62/134.04 parent0[0]: (39) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 133.62/134.04 parent1[0]: (97554) {G1,W9,D4,L2,V0,M2} { xq ==> sz00, aDivisorOf0( xq,
% 133.62/134.04 sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (20454) {G2,W6,D4,L1,V0,M1} S(2012);r(40);r(38);r(39) {
% 133.62/134.04 aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 parent0: (97555) {G1,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( xb,
% 133.62/134.04 smndt0( xc ) ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 eqswap: (97556) {G2,W11,D4,L2,V1,M2} { sdtpldt0( X, smndt0( xc ) ) =
% 133.62/134.04 sdtpldt0( smndt0( xc ), X ), ! aInteger0( X ) }.
% 133.62/134.04 parent0[1]: (280) {G2,W11,D4,L2,V1,M2} R(7,86) { ! aInteger0( X ), sdtpldt0
% 133.62/134.04 ( smndt0( xc ), X ) = sdtpldt0( X, smndt0( xc ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := X
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 resolution: (97557) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xb, smndt0( xc ) ) =
% 133.62/134.04 sdtpldt0( smndt0( xc ), xb ) }.
% 133.62/134.04 parent0[1]: (97556) {G2,W11,D4,L2,V1,M2} { sdtpldt0( X, smndt0( xc ) ) =
% 133.62/134.04 sdtpldt0( smndt0( xc ), X ), ! aInteger0( X ) }.
% 133.62/134.04 parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 X := xb
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 subsumption: (69505) {G3,W9,D4,L1,V0,M1} R(280,37) { sdtpldt0( xb, smndt0(
% 133.62/134.04 xc ) ) ==> sdtpldt0( smndt0( xc ), xb ) }.
% 133.62/134.04 parent0: (97557) {G1,W9,D4,L1,V0,M1} { sdtpldt0( xb, smndt0( xc ) ) =
% 133.62/134.04 sdtpldt0( smndt0( xc ), xb ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 permutation0:
% 133.62/134.04 0 ==> 0
% 133.62/134.04 end
% 133.62/134.04
% 133.62/134.04 paramod: (97560) {G3,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( smndt0(
% 133.62/134.04 xc ), xb ) ) }.
% 133.62/134.04 parent0[0]: (69505) {G3,W9,D4,L1,V0,M1} R(280,37) { sdtpldt0( xb, smndt0(
% 133.62/134.04 xc ) ) ==> sdtpldt0( smndt0( xc ), xb ) }.
% 133.62/134.04 parent1[0; 2]: (20454) {G2,W6,D4,L1,V0,M1} S(2012);r(40);r(38);r(39) {
% 133.62/134.04 aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 133.62/134.04 substitution0:
% 133.62/134.04 end
% 133.62/134.04 substitution1:
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 subsumption: (82277) {G4,W6,D4,L1,V0,M1} S(20454);d(69505) { aDivisorOf0(
% 133.62/134.05 xq, sdtpldt0( smndt0( xc ), xb ) ) }.
% 133.62/134.05 parent0: (97560) {G3,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( smndt0(
% 133.62/134.05 xc ), xb ) ) }.
% 133.62/134.05 substitution0:
% 133.62/134.05 end
% 133.62/134.05 permutation0:
% 133.62/134.05 0 ==> 0
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 paramod: (97562) {G4,W6,D4,L1,V0,M1} { ! alpha2( sdtpldt0( smndt0( xc ),
% 133.62/134.05 xb ), xq ) }.
% 133.62/134.05 parent0[0]: (69505) {G3,W9,D4,L1,V0,M1} R(280,37) { sdtpldt0( xb, smndt0(
% 133.62/134.05 xc ) ) ==> sdtpldt0( smndt0( xc ), xb ) }.
% 133.62/134.05 parent1[0; 2]: (2729) {G6,W6,D4,L1,V0,M1} Q(2717) { ! alpha2( sdtpldt0( xb
% 133.62/134.05 , smndt0( xc ) ), xq ) }.
% 133.62/134.05 substitution0:
% 133.62/134.05 end
% 133.62/134.05 substitution1:
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 subsumption: (82453) {G7,W6,D4,L1,V0,M1} S(2729);d(69505) { ! alpha2(
% 133.62/134.05 sdtpldt0( smndt0( xc ), xb ), xq ) }.
% 133.62/134.05 parent0: (97562) {G4,W6,D4,L1,V0,M1} { ! alpha2( sdtpldt0( smndt0( xc ),
% 133.62/134.05 xb ), xq ) }.
% 133.62/134.05 substitution0:
% 133.62/134.05 end
% 133.62/134.05 permutation0:
% 133.62/134.05 0 ==> 0
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 resolution: (97563) {G1,W11,D4,L2,V0,M2} { ! aInteger0( sdtpldt0( smndt0(
% 133.62/134.05 xc ), xb ) ), alpha1( sdtpldt0( smndt0( xc ), xb ), xq ) }.
% 133.62/134.05 parent0[1]: (24) {G0,W8,D2,L3,V2,M3} I { ! aInteger0( X ), ! aDivisorOf0( Y
% 133.62/134.05 , X ), alpha1( X, Y ) }.
% 133.62/134.05 parent1[0]: (82277) {G4,W6,D4,L1,V0,M1} S(20454);d(69505) { aDivisorOf0( xq
% 133.62/134.05 , sdtpldt0( smndt0( xc ), xb ) ) }.
% 133.62/134.05 substitution0:
% 133.62/134.05 X := sdtpldt0( smndt0( xc ), xb )
% 133.62/134.05 Y := xq
% 133.62/134.05 end
% 133.62/134.05 substitution1:
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 resolution: (97564) {G2,W6,D4,L1,V0,M1} { alpha1( sdtpldt0( smndt0( xc ),
% 133.62/134.05 xb ), xq ) }.
% 133.62/134.05 parent0[0]: (97563) {G1,W11,D4,L2,V0,M2} { ! aInteger0( sdtpldt0( smndt0(
% 133.62/134.05 xc ), xb ) ), alpha1( sdtpldt0( smndt0( xc ), xb ), xq ) }.
% 133.62/134.05 parent1[0]: (11198) {G2,W5,D4,L1,V0,M1} R(109,86) { aInteger0( sdtpldt0(
% 133.62/134.05 smndt0( xc ), xb ) ) }.
% 133.62/134.05 substitution0:
% 133.62/134.05 end
% 133.62/134.05 substitution1:
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 subsumption: (96041) {G5,W6,D4,L1,V0,M1} R(82277,24);r(11198) { alpha1(
% 133.62/134.05 sdtpldt0( smndt0( xc ), xb ), xq ) }.
% 133.62/134.05 parent0: (97564) {G2,W6,D4,L1,V0,M1} { alpha1( sdtpldt0( smndt0( xc ), xb
% 133.62/134.05 ), xq ) }.
% 133.62/134.05 substitution0:
% 133.62/134.05 end
% 133.62/134.05 permutation0:
% 133.62/134.05 0 ==> 0
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 resolution: (97565) {G1,W6,D4,L1,V0,M1} { alpha2( sdtpldt0( smndt0( xc ),
% 133.62/134.05 xb ), xq ) }.
% 133.62/134.05 parent0[0]: (27) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha2( X, Y )
% 133.62/134.05 }.
% 133.62/134.05 parent1[0]: (96041) {G5,W6,D4,L1,V0,M1} R(82277,24);r(11198) { alpha1(
% 133.62/134.05 sdtpldt0( smndt0( xc ), xb ), xq ) }.
% 133.62/134.05 substitution0:
% 133.62/134.05 X := sdtpldt0( smndt0( xc ), xb )
% 133.62/134.05 Y := xq
% 133.62/134.05 end
% 133.62/134.05 substitution1:
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 resolution: (97566) {G2,W0,D0,L0,V0,M0} { }.
% 133.62/134.05 parent0[0]: (82453) {G7,W6,D4,L1,V0,M1} S(2729);d(69505) { ! alpha2(
% 133.62/134.05 sdtpldt0( smndt0( xc ), xb ), xq ) }.
% 133.62/134.05 parent1[0]: (97565) {G1,W6,D4,L1,V0,M1} { alpha2( sdtpldt0( smndt0( xc ),
% 133.62/134.05 xb ), xq ) }.
% 133.62/134.05 substitution0:
% 133.62/134.05 end
% 133.62/134.05 substitution1:
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 subsumption: (96264) {G8,W0,D0,L0,V0,M0} R(96041,27);r(82453) { }.
% 133.62/134.05 parent0: (97566) {G2,W0,D0,L0,V0,M0} { }.
% 133.62/134.05 substitution0:
% 133.62/134.05 end
% 133.62/134.05 permutation0:
% 133.62/134.05 end
% 133.62/134.05
% 133.62/134.05 Proof check complete!
% 133.62/134.05
% 133.62/134.05 Memory use:
% 133.62/134.05
% 133.62/134.05 space for terms: 1128067
% 133.62/134.05 space for clauses: 5321204
% 133.62/134.05
% 133.62/134.05
% 133.62/134.05 clauses generated: 360764
% 133.62/134.05 clauses kept: 96265
% 133.62/134.05 clauses selected: 1700
% 133.62/134.05 clauses deleted: 16835
% 133.62/134.05 clauses inuse deleted: 145
% 133.62/134.05
% 133.62/134.05 subsentry: 1471497
% 133.62/134.05 literals s-matched: 499774
% 133.62/134.05 literals matched: 468727
% 133.62/134.05 full subsumption: 193987
% 133.62/134.05
% 133.62/134.05 checksum: 391974086
% 133.62/134.05
% 133.62/134.05
% 133.62/134.05 Bliksem ended
%------------------------------------------------------------------------------