TSTP Solution File: NUM429+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM429+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n009.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 06:22:10 EDT 2022

% Result   : Theorem 69.92s 70.29s
% Output   : Refutation 69.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM429+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Wed Jul  6 00:01:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 9.03/9.39  *** allocated 10000 integers for termspace/termends
% 9.03/9.39  *** allocated 10000 integers for clauses
% 9.03/9.39  *** allocated 10000 integers for justifications
% 9.03/9.39  Bliksem 1.12
% 9.03/9.39  
% 9.03/9.39  
% 9.03/9.39  Automatic Strategy Selection
% 9.03/9.39  
% 9.03/9.39  
% 9.03/9.39  Clauses:
% 9.03/9.39  
% 9.03/9.39  { && }.
% 9.03/9.39  { aInteger0( sz00 ) }.
% 9.03/9.39  { aInteger0( sz10 ) }.
% 9.03/9.39  { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtpldt0( X, Y ) ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtasdt0( X, Y ) ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtpldt0( X, 
% 9.03/9.39    sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }
% 9.03/9.39    .
% 9.03/9.39  { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 9.03/9.39  { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 9.03/9.39  { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) ) = sz00 }.
% 9.03/9.39  { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X ), X ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X, 
% 9.03/9.39    sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }
% 9.03/9.39    .
% 9.03/9.39  { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 9.03/9.39  { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X, 
% 9.03/9.39    sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( sdtpldt0
% 9.03/9.39    ( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 9.03/9.39  { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 9.03/9.39  { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 9.03/9.39  { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X ) = smndt0( X ) }.
% 9.03/9.39  { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X, smndt0( sz10 ) ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, 
% 9.03/9.39    Y = sz00 }.
% 9.03/9.39  { ! aInteger0( X ), ! aDivisorOf0( Y, X ), aInteger0( Y ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aDivisorOf0( Y, X ), alpha1( X, Y ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1( X, Y ), aDivisorOf0( Y, X )
% 9.03/9.39     }.
% 9.03/9.39  { ! alpha1( X, Y ), ! Y = sz00 }.
% 9.03/9.39  { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 9.03/9.39  { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 9.03/9.39  { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) ) }.
% 9.03/9.39  { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y ) ) = X }.
% 9.03/9.39  { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X, alpha2( X, Y ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, ! 
% 9.03/9.39    sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0( Z, sdtpldt0( X, smndt0( Y )
% 9.03/9.39     ) ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, ! 
% 9.03/9.39    aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ), sdteqdtlpzmzozddtrp0( X, Y
% 9.03/9.39    , Z ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), Y = sz00, sdteqdtlpzmzozddtrp0( X, X
% 9.03/9.39    , Y ) }.
% 9.03/9.39  { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, ! 
% 9.03/9.39    sdteqdtlpzmzozddtrp0( X, Y, Z ), sdteqdtlpzmzozddtrp0( Y, X, Z ) }.
% 9.03/9.39  { aInteger0( xa ) }.
% 9.03/9.39  { aInteger0( xb ) }.
% 9.03/9.39  { aInteger0( xq ) }.
% 9.03/9.39  { ! xq = sz00 }.
% 9.03/9.39  { aInteger0( xc ) }.
% 9.03/9.39  { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 9.03/9.39  { sdteqdtlpzmzozddtrp0( xb, xc, xq ) }.
% 9.03/9.39  { ! aInteger0( X ), ! sdtasdt0( xq, X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 9.03/9.39  
% 9.03/9.39  percentage equality = 0.256637, percentage horn = 0.863636
% 9.03/9.39  This is a problem with some equality
% 9.03/9.39  
% 9.03/9.39  
% 9.03/9.39  
% 9.03/9.39  Options Used:
% 9.03/9.39  
% 9.03/9.39  useres =            1
% 9.03/9.39  useparamod =        1
% 9.03/9.39  useeqrefl =         1
% 9.03/9.39  useeqfact =         1
% 9.03/9.39  usefactor =         1
% 9.03/9.39  usesimpsplitting =  0
% 9.03/9.39  usesimpdemod =      5
% 9.03/9.39  usesimpres =        3
% 9.03/9.39  
% 9.03/9.39  resimpinuse      =  1000
% 9.03/9.39  resimpclauses =     20000
% 9.03/9.39  substype =          eqrewr
% 9.03/9.39  backwardsubs =      1
% 9.03/9.39  selectoldest =      5
% 9.03/9.39  
% 9.03/9.39  litorderings [0] =  split
% 9.03/9.39  litorderings [1] =  extend the termordering, first sorting on arguments
% 9.03/9.39  
% 9.03/9.39  termordering =      kbo
% 9.03/9.39  
% 9.03/9.39  litapriori =        0
% 9.03/9.39  termapriori =       1
% 9.03/9.39  litaposteriori =    0
% 9.03/9.39  termaposteriori =   0
% 9.03/9.39  demodaposteriori =  0
% 9.03/9.39  ordereqreflfact =   0
% 9.03/9.39  
% 9.03/9.39  litselect =         negord
% 9.03/9.39  
% 9.03/9.39  maxweight =         15
% 9.03/9.39  maxdepth =          30000
% 9.03/9.39  maxlength =         115
% 9.03/9.39  maxnrvars =         195
% 9.03/9.39  excuselevel =       1
% 9.03/9.39  increasemaxweight = 1
% 9.03/9.39  
% 9.03/9.39  maxselected =       10000000
% 9.03/9.39  maxnrclauses =      10000000
% 9.03/9.39  
% 9.03/9.39  showgenerated =    0
% 9.03/9.39  showkept =         0
% 9.03/9.39  showselected =     0
% 9.03/9.39  showdeleted =      0
% 9.03/9.39  showresimp =       1
% 9.03/9.39  showstatus =       2000
% 9.03/9.39  
% 9.03/9.39  prologoutput =     0
% 69.91/70.29  nrgoals =          5000000
% 69.91/70.29  totalproof =       1
% 69.91/70.29  
% 69.91/70.29  Symbols occurring in the translation:
% 69.91/70.29  
% 69.91/70.29  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 69.91/70.29  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 69.91/70.29  &&  [3, 0]      (w:1, o:4, a:1, s:1, b:0), 
% 69.91/70.29  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 69.91/70.29  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 69.91/70.29  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 69.91/70.29  aInteger0  [36, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 69.91/70.29  sz00  [37, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 69.91/70.29  sz10  [38, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 69.91/70.29  smndt0  [39, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 69.91/70.29  sdtpldt0  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 69.91/70.29  sdtasdt0  [42, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 69.91/70.29  aDivisorOf0  [44, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 69.91/70.29  sdteqdtlpzmzozddtrp0  [45, 3]      (w:1, o:52, a:1, s:1, b:0), 
% 69.91/70.29  xa  [46, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 69.91/70.29  xb  [47, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 69.91/70.29  xq  [48, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 69.91/70.29  xc  [49, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 69.91/70.29  alpha1  [50, 2]      (w:1, o:49, a:1, s:1, b:1), 
% 69.91/70.29  alpha2  [51, 2]      (w:1, o:50, a:1, s:1, b:1), 
% 69.91/70.29  skol1  [52, 2]      (w:1, o:51, a:1, s:1, b:1).
% 69.91/70.29  
% 69.91/70.29  
% 69.91/70.29  Starting Search:
% 69.91/70.29  
% 69.91/70.29  *** allocated 15000 integers for clauses
% 69.91/70.29  *** allocated 22500 integers for clauses
% 69.91/70.29  *** allocated 33750 integers for clauses
% 69.91/70.29  *** allocated 50625 integers for clauses
% 69.91/70.29  *** allocated 75937 integers for clauses
% 69.91/70.29  *** allocated 15000 integers for termspace/termends
% 69.91/70.29  *** allocated 113905 integers for clauses
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  *** allocated 22500 integers for termspace/termends
% 69.91/70.29  *** allocated 170857 integers for clauses
% 69.91/70.29  *** allocated 33750 integers for termspace/termends
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    5543
% 69.91/70.29  Kept:         2134
% 69.91/70.29  Inuse:        140
% 69.91/70.29  Deleted:      7
% 69.91/70.29  Deletedinuse: 6
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  *** allocated 50625 integers for termspace/termends
% 69.91/70.29  *** allocated 256285 integers for clauses
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  *** allocated 384427 integers for clauses
% 69.91/70.29  *** allocated 75937 integers for termspace/termends
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    15646
% 69.91/70.29  Kept:         4149
% 69.91/70.29  Inuse:        262
% 69.91/70.29  Deleted:      12
% 69.91/70.29  Deletedinuse: 8
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  *** allocated 113905 integers for termspace/termends
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    29815
% 69.91/70.29  Kept:         6151
% 69.91/70.29  Inuse:        347
% 69.91/70.29  Deleted:      15
% 69.91/70.29  Deletedinuse: 9
% 69.91/70.29  
% 69.91/70.29  *** allocated 576640 integers for clauses
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    36455
% 69.91/70.29  Kept:         8407
% 69.91/70.29  Inuse:        388
% 69.91/70.29  Deleted:      17
% 69.91/70.29  Deletedinuse: 9
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  *** allocated 170857 integers for termspace/termends
% 69.91/70.29  *** allocated 864960 integers for clauses
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    41397
% 69.91/70.29  Kept:         10520
% 69.91/70.29  Inuse:        417
% 69.91/70.29  Deleted:      18
% 69.91/70.29  Deletedinuse: 9
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    47128
% 69.91/70.29  Kept:         12609
% 69.91/70.29  Inuse:        462
% 69.91/70.29  Deleted:      18
% 69.91/70.29  Deletedinuse: 9
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  *** allocated 256285 integers for termspace/termends
% 69.91/70.29  *** allocated 1297440 integers for clauses
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    52404
% 69.91/70.29  Kept:         15304
% 69.91/70.29  Inuse:        497
% 69.91/70.29  Deleted:      18
% 69.91/70.29  Deletedinuse: 9
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    57317
% 69.91/70.29  Kept:         17316
% 69.91/70.29  Inuse:        516
% 69.91/70.29  Deleted:      18
% 69.91/70.29  Deletedinuse: 9
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    63370
% 69.91/70.29  Kept:         20541
% 69.91/70.29  Inuse:        532
% 69.91/70.29  Deleted:      18
% 69.91/70.29  Deletedinuse: 9
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  Resimplifying clauses:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  *** allocated 384427 integers for termspace/termends
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    67544
% 69.91/70.29  Kept:         23315
% 69.91/70.29  Inuse:        542
% 69.91/70.29  Deleted:      592
% 69.91/70.29  Deletedinuse: 9
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  *** allocated 1946160 integers for clauses
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    71547
% 69.91/70.29  Kept:         25665
% 69.91/70.29  Inuse:        557
% 69.91/70.29  Deleted:      592
% 69.91/70.29  Deletedinuse: 9
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  Resimplifying inuse:
% 69.91/70.29  Done
% 69.91/70.29  
% 69.91/70.29  
% 69.91/70.29  Intermediate Status:
% 69.91/70.29  Generated:    75488
% 69.91/70.29  Kept:         27822
% 69.92/70.29  Inuse:        573
% 69.92/70.29  Deleted:      597
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    79484
% 69.92/70.29  Kept:         29949
% 69.92/70.29  Inuse:        587
% 69.92/70.29  Deleted:      597
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    84088
% 69.92/70.29  Kept:         32201
% 69.92/70.29  Inuse:        608
% 69.92/70.29  Deleted:      597
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  *** allocated 576640 integers for termspace/termends
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    91694
% 69.92/70.29  Kept:         34203
% 69.92/70.29  Inuse:        648
% 69.92/70.29  Deleted:      597
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  *** allocated 2919240 integers for clauses
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    99042
% 69.92/70.29  Kept:         36424
% 69.92/70.29  Inuse:        688
% 69.92/70.29  Deleted:      597
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    103491
% 69.92/70.29  Kept:         38756
% 69.92/70.29  Inuse:        723
% 69.92/70.29  Deleted:      597
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    107449
% 69.92/70.29  Kept:         40782
% 69.92/70.29  Inuse:        736
% 69.92/70.29  Deleted:      597
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying clauses:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    121439
% 69.92/70.29  Kept:         42813
% 69.92/70.29  Inuse:        777
% 69.92/70.29  Deleted:      744
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    128380
% 69.92/70.29  Kept:         44817
% 69.92/70.29  Inuse:        793
% 69.92/70.29  Deleted:      744
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    153408
% 69.92/70.29  Kept:         46986
% 69.92/70.29  Inuse:        936
% 69.92/70.29  Deleted:      744
% 69.92/70.29  Deletedinuse: 10
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  *** allocated 864960 integers for termspace/termends
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    164605
% 69.92/70.29  Kept:         49236
% 69.92/70.29  Inuse:        969
% 69.92/70.29  Deleted:      764
% 69.92/70.29  Deletedinuse: 11
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    171307
% 69.92/70.29  Kept:         51364
% 69.92/70.29  Inuse:        999
% 69.92/70.29  Deleted:      764
% 69.92/70.29  Deletedinuse: 11
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  *** allocated 4378860 integers for clauses
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    191436
% 69.92/70.29  Kept:         53440
% 69.92/70.29  Inuse:        1071
% 69.92/70.29  Deleted:      767
% 69.92/70.29  Deletedinuse: 11
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    211122
% 69.92/70.29  Kept:         55502
% 69.92/70.29  Inuse:        1135
% 69.92/70.29  Deleted:      878
% 69.92/70.29  Deletedinuse: 115
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    217786
% 69.92/70.29  Kept:         57579
% 69.92/70.29  Inuse:        1148
% 69.92/70.29  Deleted:      878
% 69.92/70.29  Deletedinuse: 115
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    222737
% 69.92/70.29  Kept:         59666
% 69.92/70.29  Inuse:        1158
% 69.92/70.29  Deleted:      878
% 69.92/70.29  Deletedinuse: 115
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying clauses:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    235847
% 69.92/70.29  Kept:         61956
% 69.92/70.29  Inuse:        1164
% 69.92/70.29  Deleted:      11221
% 69.92/70.29  Deletedinuse: 115
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    241805
% 69.92/70.29  Kept:         64092
% 69.92/70.29  Inuse:        1186
% 69.92/70.29  Deleted:      11221
% 69.92/70.29  Deletedinuse: 115
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    246322
% 69.92/70.29  Kept:         66159
% 69.92/70.29  Inuse:        1194
% 69.92/70.29  Deleted:      11221
% 69.92/70.29  Deletedinuse: 115
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    252356
% 69.92/70.29  Kept:         68309
% 69.92/70.29  Inuse:        1208
% 69.92/70.29  Deleted:      11221
% 69.92/70.29  Deletedinuse: 115
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Intermediate Status:
% 69.92/70.29  Generated:    259278
% 69.92/70.29  Kept:         70622
% 69.92/70.29  Inuse:        1229
% 69.92/70.29  Deleted:      11221
% 69.92/70.29  Deletedinuse: 115
% 69.92/70.29  
% 69.92/70.29  Resimplifying inuse:
% 69.92/70.29  Done
% 69.92/70.29  
% 69.92/70.29  
% 69.92/70.29  Bliksems!, er is een bewijs:
% 69.92/70.29  % SZS status Theorem
% 69.92/70.29  % SZS output start Refutation
% 69.92/70.29  
% 69.92/70.29  (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 69.92/70.29  (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 69.92/70.29  (4) {G0,W8,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( 
% 69.92/70.29    sdtpldt0( X, Y ) ) }.
% 69.92/70.29  (7) {G0,W11,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0( 
% 69.92/70.29    X, Y ) = sdtpldt0( Y, X ) }.
% 69.92/70.29  (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X, sz00 ) ==> sz00
% 69.92/70.29     }.
% 69.92/70.29  (24) {G0,W8,D2,L3,V2,M3} I { ! aInteger0( X ), ! aDivisorOf0( Y, X ), 
% 69.92/70.29    alpha1( X, Y ) }.
% 69.92/70.29  (27) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 69.92/70.29  (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 69.92/70.29     }.
% 69.92/70.29  (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y )
% 69.92/70.29     ) ==> X }.
% 69.92/70.29  (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X, 
% 69.92/70.29    alpha2( X, Y ) }.
% 69.92/70.29  (32) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.29    aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 69.92/70.29    ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 69.92/70.29  (36) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 69.92/70.29  (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 69.92/70.29  (38) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 69.92/70.29  (39) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 69.92/70.29  (40) {G0,W2,D2,L1,V0,M1} I { aInteger0( xc ) }.
% 69.92/70.29  (41) {G0,W4,D2,L1,V0,M1} I { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 69.92/70.29  (43) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq, X ) = 
% 69.92/70.29    sdtpldt0( xa, smndt0( xb ) ) }.
% 69.92/70.29  (82) {G1,W3,D3,L1,V0,M1} R(3,37) { aInteger0( smndt0( xb ) ) }.
% 69.92/70.29  (90) {G2,W7,D4,L2,V1,M2} R(4,82) { ! aInteger0( X ), aInteger0( sdtpldt0( 
% 69.92/70.29    smndt0( xb ), X ) ) }.
% 69.92/70.29  (276) {G2,W11,D4,L2,V1,M2} R(7,82) { ! aInteger0( X ), sdtpldt0( smndt0( xb
% 69.92/70.29     ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 69.92/70.29  (917) {G1,W5,D3,L1,V0,M1} R(18,40) { sdtasdt0( xc, sz00 ) ==> sz00 }.
% 69.92/70.29  (2023) {G2,W6,D2,L2,V1,M2} P(917,31);r(1) { ! sz00 = X, alpha2( X, xc ) }.
% 69.92/70.29  (2071) {G3,W3,D2,L1,V0,M1} Q(2023) { alpha2( sz00, xc ) }.
% 69.92/70.29  (2135) {G4,W4,D3,L1,V2,M1} R(2071,29) { aInteger0( skol1( X, Y ) ) }.
% 69.92/70.29  (2153) {G1,W13,D4,L4,V0,M4} R(32,41);r(36) { ! aInteger0( xb ), ! aInteger0
% 69.92/70.29    ( xq ), xq ==> sz00, aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.29  (2837) {G5,W9,D4,L2,V1,M2} P(30,43);r(2135) { ! X = sdtpldt0( xa, smndt0( 
% 69.92/70.29    xb ) ), ! alpha2( X, xq ) }.
% 69.92/70.29  (2849) {G6,W6,D4,L1,V0,M1} Q(2837) { ! alpha2( sdtpldt0( xa, smndt0( xb ) )
% 69.92/70.29    , xq ) }.
% 69.92/70.29  (5743) {G3,W5,D4,L1,V0,M1} R(90,36) { aInteger0( sdtpldt0( smndt0( xb ), xa
% 69.92/70.30     ) ) }.
% 69.92/70.30  (20614) {G2,W6,D4,L1,V0,M1} S(2153);r(37);r(38);r(39) { aDivisorOf0( xq, 
% 69.92/70.30    sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  (53428) {G3,W9,D4,L1,V0,M1} R(276,36) { sdtpldt0( xa, smndt0( xb ) ) ==> 
% 69.92/70.30    sdtpldt0( smndt0( xb ), xa ) }.
% 69.92/70.30  (61611) {G4,W6,D4,L1,V0,M1} S(20614);d(53428) { aDivisorOf0( xq, sdtpldt0( 
% 69.92/70.30    smndt0( xb ), xa ) ) }.
% 69.92/70.30  (61941) {G7,W6,D4,L1,V0,M1} S(2849);d(53428) { ! alpha2( sdtpldt0( smndt0( 
% 69.92/70.30    xb ), xa ), xq ) }.
% 69.92/70.30  (71215) {G5,W6,D4,L1,V0,M1} R(61611,24);r(5743) { alpha1( sdtpldt0( smndt0
% 69.92/70.30    ( xb ), xa ), xq ) }.
% 69.92/70.30  (71371) {G8,W0,D0,L0,V0,M0} R(71215,27);r(61941) {  }.
% 69.92/70.30  
% 69.92/70.30  
% 69.92/70.30  % SZS output end Refutation
% 69.92/70.30  found a proof!
% 69.92/70.30  
% 69.92/70.30  
% 69.92/70.30  Unprocessed initial clauses:
% 69.92/70.30  
% 69.92/70.30  (71373) {G0,W1,D1,L1,V0,M1}  { && }.
% 69.92/70.30  (71374) {G0,W2,D2,L1,V0,M1}  { aInteger0( sz00 ) }.
% 69.92/70.30  (71375) {G0,W2,D2,L1,V0,M1}  { aInteger0( sz10 ) }.
% 69.92/70.30  (71376) {G0,W5,D3,L2,V1,M2}  { ! aInteger0( X ), aInteger0( smndt0( X ) )
% 69.92/70.30     }.
% 69.92/70.30  (71377) {G0,W8,D3,L3,V2,M3}  { ! aInteger0( X ), ! aInteger0( Y ), 
% 69.92/70.30    aInteger0( sdtpldt0( X, Y ) ) }.
% 69.92/70.30  (71378) {G0,W8,D3,L3,V2,M3}  { ! aInteger0( X ), ! aInteger0( Y ), 
% 69.92/70.30    aInteger0( sdtasdt0( X, Y ) ) }.
% 69.92/70.30  (71379) {G0,W17,D4,L4,V3,M4}  { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.30    aInteger0( Z ), sdtpldt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X, 
% 69.92/70.30    Y ), Z ) }.
% 69.92/70.30  (71380) {G0,W11,D3,L3,V2,M3}  { ! aInteger0( X ), ! aInteger0( Y ), 
% 69.92/70.30    sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 69.92/70.30  (71381) {G0,W7,D3,L2,V1,M2}  { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X
% 69.92/70.30     }.
% 69.92/70.30  (71382) {G0,W7,D3,L2,V1,M2}  { ! aInteger0( X ), X = sdtpldt0( sz00, X )
% 69.92/70.30     }.
% 69.92/70.30  (71383) {G0,W8,D4,L2,V1,M2}  { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) )
% 69.92/70.30     = sz00 }.
% 69.92/70.30  (71384) {G0,W8,D4,L2,V1,M2}  { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X
% 69.92/70.30     ), X ) }.
% 69.92/70.30  (71385) {G0,W17,D4,L4,V3,M4}  { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.30    aInteger0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X, 
% 69.92/70.30    Y ), Z ) }.
% 69.92/70.30  (71386) {G0,W11,D3,L3,V2,M3}  { ! aInteger0( X ), ! aInteger0( Y ), 
% 69.92/70.30    sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 69.92/70.30  (71387) {G0,W7,D3,L2,V1,M2}  { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X
% 69.92/70.30     }.
% 69.92/70.30  (71388) {G0,W7,D3,L2,V1,M2}  { ! aInteger0( X ), X = sdtasdt0( sz10, X )
% 69.92/70.30     }.
% 69.92/70.30  (71389) {G0,W19,D4,L4,V3,M4}  { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.30    aInteger0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, 
% 69.92/70.30    Y ), sdtasdt0( X, Z ) ) }.
% 69.92/70.30  (71390) {G0,W19,D4,L4,V3,M4}  { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.30    aInteger0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, 
% 69.92/70.30    Z ), sdtasdt0( Y, Z ) ) }.
% 69.92/70.30  (71391) {G0,W7,D3,L2,V1,M2}  { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00
% 69.92/70.30     }.
% 69.92/70.30  (71392) {G0,W7,D3,L2,V1,M2}  { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X )
% 69.92/70.30     }.
% 69.92/70.30  (71393) {G0,W9,D4,L2,V1,M2}  { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), 
% 69.92/70.30    X ) = smndt0( X ) }.
% 69.92/70.30  (71394) {G0,W9,D4,L2,V1,M2}  { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X
% 69.92/70.30    , smndt0( sz10 ) ) }.
% 69.92/70.30  (71395) {G0,W15,D3,L5,V2,M5}  { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.30    sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 69.92/70.30  (71396) {G0,W7,D2,L3,V2,M3}  { ! aInteger0( X ), ! aDivisorOf0( Y, X ), 
% 69.92/70.30    aInteger0( Y ) }.
% 69.92/70.30  (71397) {G0,W8,D2,L3,V2,M3}  { ! aInteger0( X ), ! aDivisorOf0( Y, X ), 
% 69.92/70.30    alpha1( X, Y ) }.
% 69.92/70.30  (71398) {G0,W10,D2,L4,V2,M4}  { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.30    alpha1( X, Y ), aDivisorOf0( Y, X ) }.
% 69.92/70.30  (71399) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), ! Y = sz00 }.
% 69.92/70.30  (71400) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 69.92/70.30  (71401) {G0,W9,D2,L3,V2,M3}  { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y )
% 69.92/70.30     }.
% 69.92/70.30  (71402) {G0,W7,D3,L2,V4,M2}  { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 69.92/70.30     }.
% 69.92/70.30  (71403) {G0,W10,D4,L2,V2,M2}  { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y
% 69.92/70.30     ) ) = X }.
% 69.92/70.30  (71404) {G0,W10,D3,L3,V3,M3}  { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X, 
% 69.92/70.30    alpha2( X, Y ) }.
% 69.92/70.30  (71405) {G0,W19,D4,L6,V3,M6}  { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.30    aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 69.92/70.30    ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 69.92/70.30  (71406) {G0,W19,D4,L6,V3,M6}  { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.30    aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) )
% 69.92/70.30    , sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 69.92/70.30  (71407) {G0,W11,D2,L4,V2,M4}  { ! aInteger0( X ), ! aInteger0( Y ), Y = 
% 69.92/70.30    sz00, sdteqdtlpzmzozddtrp0( X, X, Y ) }.
% 69.92/70.30  (71408) {G0,W17,D2,L6,V3,M6}  { ! aInteger0( X ), ! aInteger0( Y ), ! 
% 69.92/70.30    aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), 
% 69.92/70.30    sdteqdtlpzmzozddtrp0( Y, X, Z ) }.
% 69.92/70.30  (71409) {G0,W2,D2,L1,V0,M1}  { aInteger0( xa ) }.
% 69.92/70.30  (71410) {G0,W2,D2,L1,V0,M1}  { aInteger0( xb ) }.
% 69.92/70.30  (71411) {G0,W2,D2,L1,V0,M1}  { aInteger0( xq ) }.
% 69.92/70.30  (71412) {G0,W3,D2,L1,V0,M1}  { ! xq = sz00 }.
% 69.92/70.30  (71413) {G0,W2,D2,L1,V0,M1}  { aInteger0( xc ) }.
% 69.92/70.30  (71414) {G0,W4,D2,L1,V0,M1}  { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 69.92/70.30  (71415) {G0,W4,D2,L1,V0,M1}  { sdteqdtlpzmzozddtrp0( xb, xc, xq ) }.
% 69.92/70.30  (71416) {G0,W10,D4,L2,V1,M2}  { ! aInteger0( X ), ! sdtasdt0( xq, X ) = 
% 69.92/70.30    sdtpldt0( xa, smndt0( xb ) ) }.
% 69.92/70.30  
% 69.92/70.30  
% 69.92/70.30  Total Proof:
% 69.92/70.30  
% 69.92/70.30  subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 69.92/70.30  parent0: (71374) {G0,W2,D2,L1,V0,M1}  { aInteger0( sz00 ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0( 
% 69.92/70.30    smndt0( X ) ) }.
% 69.92/70.30  parent0: (71376) {G0,W5,D3,L2,V1,M2}  { ! aInteger0( X ), aInteger0( smndt0
% 69.92/70.30    ( X ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y )
% 69.92/70.30    , aInteger0( sdtpldt0( X, Y ) ) }.
% 69.92/70.30  parent0: (71377) {G0,W8,D3,L3,V2,M3}  { ! aInteger0( X ), ! aInteger0( Y )
% 69.92/70.30    , aInteger0( sdtpldt0( X, Y ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := Y
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30     2 ==> 2
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (7) {G0,W11,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y
% 69.92/70.30     ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 69.92/70.30  parent0: (71380) {G0,W11,D3,L3,V2,M3}  { ! aInteger0( X ), ! aInteger0( Y )
% 69.92/70.30    , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := Y
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30     2 ==> 2
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X, 
% 69.92/70.30    sz00 ) ==> sz00 }.
% 69.92/70.30  parent0: (71391) {G0,W7,D3,L2,V1,M2}  { ! aInteger0( X ), sdtasdt0( X, sz00
% 69.92/70.30     ) = sz00 }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (24) {G0,W8,D2,L3,V2,M3} I { ! aInteger0( X ), ! aDivisorOf0( 
% 69.92/70.30    Y, X ), alpha1( X, Y ) }.
% 69.92/70.30  parent0: (71397) {G0,W8,D2,L3,V2,M3}  { ! aInteger0( X ), ! aDivisorOf0( Y
% 69.92/70.30    , X ), alpha1( X, Y ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := Y
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30     2 ==> 2
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (27) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha2( X, Y )
% 69.92/70.30     }.
% 69.92/70.30  parent0: (71400) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), alpha2( X, Y )
% 69.92/70.30     }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := Y
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0( 
% 69.92/70.30    skol1( Z, T ) ) }.
% 69.92/70.30  parent0: (71402) {G0,W7,D3,L2,V4,M2}  { ! alpha2( X, Y ), aInteger0( skol1
% 69.92/70.30    ( Z, T ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := Y
% 69.92/70.30     Z := Z
% 69.92/70.30     T := T
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y, 
% 69.92/70.30    skol1( X, Y ) ) ==> X }.
% 69.92/70.30  parent0: (71403) {G0,W10,D4,L2,V2,M2}  { ! alpha2( X, Y ), sdtasdt0( Y, 
% 69.92/70.30    skol1( X, Y ) ) = X }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := Y
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y
% 69.92/70.30    , Z ) = X, alpha2( X, Y ) }.
% 69.92/70.30  parent0: (71404) {G0,W10,D3,L3,V3,M3}  { ! aInteger0( Z ), ! sdtasdt0( Y, Z
% 69.92/70.30     ) = X, alpha2( X, Y ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := Y
% 69.92/70.30     Z := Z
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30     2 ==> 2
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (32) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y
% 69.92/70.30     ), ! aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), 
% 69.92/70.30    aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 69.92/70.30  parent0: (71405) {G0,W19,D4,L6,V3,M6}  { ! aInteger0( X ), ! aInteger0( Y )
% 69.92/70.30    , ! aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), 
% 69.92/70.30    aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := Y
% 69.92/70.30     Z := Z
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30     2 ==> 2
% 69.92/70.30     3 ==> 3
% 69.92/70.30     4 ==> 4
% 69.92/70.30     5 ==> 5
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (36) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 69.92/70.30  parent0: (71409) {G0,W2,D2,L1,V0,M1}  { aInteger0( xa ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 69.92/70.30  parent0: (71410) {G0,W2,D2,L1,V0,M1}  { aInteger0( xb ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  *** allocated 1297440 integers for termspace/termends
% 69.92/70.30  subsumption: (38) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 69.92/70.30  parent0: (71411) {G0,W2,D2,L1,V0,M1}  { aInteger0( xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (39) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 69.92/70.30  parent0: (71412) {G0,W3,D2,L1,V0,M1}  { ! xq = sz00 }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (40) {G0,W2,D2,L1,V0,M1} I { aInteger0( xc ) }.
% 69.92/70.30  parent0: (71413) {G0,W2,D2,L1,V0,M1}  { aInteger0( xc ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (41) {G0,W4,D2,L1,V0,M1} I { sdteqdtlpzmzozddtrp0( xa, xb, xq
% 69.92/70.30     ) }.
% 69.92/70.30  parent0: (71414) {G0,W4,D2,L1,V0,M1}  { sdteqdtlpzmzozddtrp0( xa, xb, xq )
% 69.92/70.30     }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (43) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq
% 69.92/70.30    , X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 69.92/70.30  parent0: (71416) {G0,W10,D4,L2,V1,M2}  { ! aInteger0( X ), ! sdtasdt0( xq, 
% 69.92/70.30    X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72626) {G1,W3,D3,L1,V0,M1}  { aInteger0( smndt0( xb ) ) }.
% 69.92/70.30  parent0[0]: (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0( smndt0
% 69.92/70.30    ( X ) ) }.
% 69.92/70.30  parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := xb
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (82) {G1,W3,D3,L1,V0,M1} R(3,37) { aInteger0( smndt0( xb ) )
% 69.92/70.30     }.
% 69.92/70.30  parent0: (72626) {G1,W3,D3,L1,V0,M1}  { aInteger0( smndt0( xb ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72627) {G1,W7,D4,L2,V1,M2}  { ! aInteger0( X ), aInteger0( 
% 69.92/70.30    sdtpldt0( smndt0( xb ), X ) ) }.
% 69.92/70.30  parent0[0]: (4) {G0,W8,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y )
% 69.92/70.30    , aInteger0( sdtpldt0( X, Y ) ) }.
% 69.92/70.30  parent1[0]: (82) {G1,W3,D3,L1,V0,M1} R(3,37) { aInteger0( smndt0( xb ) )
% 69.92/70.30     }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := smndt0( xb )
% 69.92/70.30     Y := X
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (90) {G2,W7,D4,L2,V1,M2} R(4,82) { ! aInteger0( X ), aInteger0
% 69.92/70.30    ( sdtpldt0( smndt0( xb ), X ) ) }.
% 69.92/70.30  parent0: (72627) {G1,W7,D4,L2,V1,M2}  { ! aInteger0( X ), aInteger0( 
% 69.92/70.30    sdtpldt0( smndt0( xb ), X ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72629) {G1,W11,D4,L2,V1,M2}  { ! aInteger0( X ), sdtpldt0( 
% 69.92/70.30    smndt0( xb ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 69.92/70.30  parent0[0]: (7) {G0,W11,D3,L3,V2,M3} I { ! aInteger0( X ), ! aInteger0( Y )
% 69.92/70.30    , sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 69.92/70.30  parent1[0]: (82) {G1,W3,D3,L1,V0,M1} R(3,37) { aInteger0( smndt0( xb ) )
% 69.92/70.30     }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := smndt0( xb )
% 69.92/70.30     Y := X
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (276) {G2,W11,D4,L2,V1,M2} R(7,82) { ! aInteger0( X ), 
% 69.92/70.30    sdtpldt0( smndt0( xb ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 69.92/70.30  parent0: (72629) {G1,W11,D4,L2,V1,M2}  { ! aInteger0( X ), sdtpldt0( smndt0
% 69.92/70.30    ( xb ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72631) {G0,W7,D3,L2,V1,M2}  { sz00 ==> sdtasdt0( X, sz00 ), ! 
% 69.92/70.30    aInteger0( X ) }.
% 69.92/70.30  parent0[1]: (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X, 
% 69.92/70.30    sz00 ) ==> sz00 }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72632) {G1,W5,D3,L1,V0,M1}  { sz00 ==> sdtasdt0( xc, sz00 )
% 69.92/70.30     }.
% 69.92/70.30  parent0[1]: (72631) {G0,W7,D3,L2,V1,M2}  { sz00 ==> sdtasdt0( X, sz00 ), ! 
% 69.92/70.30    aInteger0( X ) }.
% 69.92/70.30  parent1[0]: (40) {G0,W2,D2,L1,V0,M1} I { aInteger0( xc ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := xc
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72633) {G1,W5,D3,L1,V0,M1}  { sdtasdt0( xc, sz00 ) ==> sz00 }.
% 69.92/70.30  parent0[0]: (72632) {G1,W5,D3,L1,V0,M1}  { sz00 ==> sdtasdt0( xc, sz00 )
% 69.92/70.30     }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (917) {G1,W5,D3,L1,V0,M1} R(18,40) { sdtasdt0( xc, sz00 ) ==> 
% 69.92/70.30    sz00 }.
% 69.92/70.30  parent0: (72633) {G1,W5,D3,L1,V0,M1}  { sdtasdt0( xc, sz00 ) ==> sz00 }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72635) {G0,W10,D3,L3,V3,M3}  { ! Z = sdtasdt0( X, Y ), ! aInteger0
% 69.92/70.30    ( Y ), alpha2( Z, X ) }.
% 69.92/70.30  parent0[1]: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y, 
% 69.92/70.30    Z ) = X, alpha2( X, Y ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := Z
% 69.92/70.30     Y := X
% 69.92/70.30     Z := Y
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  paramod: (72636) {G1,W8,D2,L3,V1,M3}  { ! X = sz00, ! aInteger0( sz00 ), 
% 69.92/70.30    alpha2( X, xc ) }.
% 69.92/70.30  parent0[0]: (917) {G1,W5,D3,L1,V0,M1} R(18,40) { sdtasdt0( xc, sz00 ) ==> 
% 69.92/70.30    sz00 }.
% 69.92/70.30  parent1[0; 3]: (72635) {G0,W10,D3,L3,V3,M3}  { ! Z = sdtasdt0( X, Y ), ! 
% 69.92/70.30    aInteger0( Y ), alpha2( Z, X ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30     X := xc
% 69.92/70.30     Y := sz00
% 69.92/70.30     Z := X
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72637) {G1,W6,D2,L2,V1,M2}  { ! X = sz00, alpha2( X, xc ) }.
% 69.92/70.30  parent0[1]: (72636) {G1,W8,D2,L3,V1,M3}  { ! X = sz00, ! aInteger0( sz00 )
% 69.92/70.30    , alpha2( X, xc ) }.
% 69.92/70.30  parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72638) {G1,W6,D2,L2,V1,M2}  { ! sz00 = X, alpha2( X, xc ) }.
% 69.92/70.30  parent0[0]: (72637) {G1,W6,D2,L2,V1,M2}  { ! X = sz00, alpha2( X, xc ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (2023) {G2,W6,D2,L2,V1,M2} P(917,31);r(1) { ! sz00 = X, alpha2
% 69.92/70.30    ( X, xc ) }.
% 69.92/70.30  parent0: (72638) {G1,W6,D2,L2,V1,M2}  { ! sz00 = X, alpha2( X, xc ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72639) {G2,W6,D2,L2,V1,M2}  { ! X = sz00, alpha2( X, xc ) }.
% 69.92/70.30  parent0[0]: (2023) {G2,W6,D2,L2,V1,M2} P(917,31);r(1) { ! sz00 = X, alpha2
% 69.92/70.30    ( X, xc ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqrefl: (72640) {G0,W3,D2,L1,V0,M1}  { alpha2( sz00, xc ) }.
% 69.92/70.30  parent0[0]: (72639) {G2,W6,D2,L2,V1,M2}  { ! X = sz00, alpha2( X, xc ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := sz00
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (2071) {G3,W3,D2,L1,V0,M1} Q(2023) { alpha2( sz00, xc ) }.
% 69.92/70.30  parent0: (72640) {G0,W3,D2,L1,V0,M1}  { alpha2( sz00, xc ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72641) {G1,W4,D3,L1,V2,M1}  { aInteger0( skol1( X, Y ) ) }.
% 69.92/70.30  parent0[0]: (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0( skol1
% 69.92/70.30    ( Z, T ) ) }.
% 69.92/70.30  parent1[0]: (2071) {G3,W3,D2,L1,V0,M1} Q(2023) { alpha2( sz00, xc ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := sz00
% 69.92/70.30     Y := xc
% 69.92/70.30     Z := X
% 69.92/70.30     T := Y
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (2135) {G4,W4,D3,L1,V2,M1} R(2071,29) { aInteger0( skol1( X, Y
% 69.92/70.30     ) ) }.
% 69.92/70.30  parent0: (72641) {G1,W4,D3,L1,V2,M1}  { aInteger0( skol1( X, Y ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := Y
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72642) {G0,W19,D4,L6,V3,M6}  { sz00 = X, ! aInteger0( Y ), ! 
% 69.92/70.30    aInteger0( Z ), ! aInteger0( X ), ! sdteqdtlpzmzozddtrp0( Y, Z, X ), 
% 69.92/70.30    aDivisorOf0( X, sdtpldt0( Y, smndt0( Z ) ) ) }.
% 69.92/70.30  parent0[3]: (32) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y
% 69.92/70.30     ), ! aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), 
% 69.92/70.30    aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := Y
% 69.92/70.30     Y := Z
% 69.92/70.30     Z := X
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72643) {G1,W15,D4,L5,V0,M5}  { sz00 = xq, ! aInteger0( xa ), !
% 69.92/70.30     aInteger0( xb ), ! aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, 
% 69.92/70.30    smndt0( xb ) ) ) }.
% 69.92/70.30  parent0[4]: (72642) {G0,W19,D4,L6,V3,M6}  { sz00 = X, ! aInteger0( Y ), ! 
% 69.92/70.30    aInteger0( Z ), ! aInteger0( X ), ! sdteqdtlpzmzozddtrp0( Y, Z, X ), 
% 69.92/70.30    aDivisorOf0( X, sdtpldt0( Y, smndt0( Z ) ) ) }.
% 69.92/70.30  parent1[0]: (41) {G0,W4,D2,L1,V0,M1} I { sdteqdtlpzmzozddtrp0( xa, xb, xq )
% 69.92/70.30     }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := xq
% 69.92/70.30     Y := xa
% 69.92/70.30     Z := xb
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72644) {G1,W13,D4,L4,V0,M4}  { sz00 = xq, ! aInteger0( xb ), !
% 69.92/70.30     aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  parent0[1]: (72643) {G1,W15,D4,L5,V0,M5}  { sz00 = xq, ! aInteger0( xa ), !
% 69.92/70.30     aInteger0( xb ), ! aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, 
% 69.92/70.30    smndt0( xb ) ) ) }.
% 69.92/70.30  parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72645) {G1,W13,D4,L4,V0,M4}  { xq = sz00, ! aInteger0( xb ), ! 
% 69.92/70.30    aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  parent0[0]: (72644) {G1,W13,D4,L4,V0,M4}  { sz00 = xq, ! aInteger0( xb ), !
% 69.92/70.30     aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (2153) {G1,W13,D4,L4,V0,M4} R(32,41);r(36) { ! aInteger0( xb )
% 69.92/70.30    , ! aInteger0( xq ), xq ==> sz00, aDivisorOf0( xq, sdtpldt0( xa, smndt0( 
% 69.92/70.30    xb ) ) ) }.
% 69.92/70.30  parent0: (72645) {G1,W13,D4,L4,V0,M4}  { xq = sz00, ! aInteger0( xb ), ! 
% 69.92/70.30    aInteger0( xq ), aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 2
% 69.92/70.30     1 ==> 0
% 69.92/70.30     2 ==> 1
% 69.92/70.30     3 ==> 3
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72647) {G0,W10,D4,L2,V1,M2}  { ! sdtpldt0( xa, smndt0( xb ) ) = 
% 69.92/70.30    sdtasdt0( xq, X ), ! aInteger0( X ) }.
% 69.92/70.30  parent0[1]: (43) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq
% 69.92/70.30    , X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  paramod: (72648) {G1,W13,D4,L3,V1,M3}  { ! sdtpldt0( xa, smndt0( xb ) ) = X
% 69.92/70.30    , ! alpha2( X, xq ), ! aInteger0( skol1( X, xq ) ) }.
% 69.92/70.30  parent0[1]: (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y, 
% 69.92/70.30    skol1( X, Y ) ) ==> X }.
% 69.92/70.30  parent1[0; 6]: (72647) {G0,W10,D4,L2,V1,M2}  { ! sdtpldt0( xa, smndt0( xb )
% 69.92/70.30     ) = sdtasdt0( xq, X ), ! aInteger0( X ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30     Y := xq
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30     X := skol1( X, xq )
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72649) {G2,W9,D4,L2,V1,M2}  { ! sdtpldt0( xa, smndt0( xb ) ) =
% 69.92/70.30     X, ! alpha2( X, xq ) }.
% 69.92/70.30  parent0[2]: (72648) {G1,W13,D4,L3,V1,M3}  { ! sdtpldt0( xa, smndt0( xb ) ) 
% 69.92/70.30    = X, ! alpha2( X, xq ), ! aInteger0( skol1( X, xq ) ) }.
% 69.92/70.30  parent1[0]: (2135) {G4,W4,D3,L1,V2,M1} R(2071,29) { aInteger0( skol1( X, Y
% 69.92/70.30     ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30     X := X
% 69.92/70.30     Y := xq
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72650) {G2,W9,D4,L2,V1,M2}  { ! X = sdtpldt0( xa, smndt0( xb ) ), 
% 69.92/70.30    ! alpha2( X, xq ) }.
% 69.92/70.30  parent0[0]: (72649) {G2,W9,D4,L2,V1,M2}  { ! sdtpldt0( xa, smndt0( xb ) ) =
% 69.92/70.30     X, ! alpha2( X, xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (2837) {G5,W9,D4,L2,V1,M2} P(30,43);r(2135) { ! X = sdtpldt0( 
% 69.92/70.30    xa, smndt0( xb ) ), ! alpha2( X, xq ) }.
% 69.92/70.30  parent0: (72650) {G2,W9,D4,L2,V1,M2}  { ! X = sdtpldt0( xa, smndt0( xb ) )
% 69.92/70.30    , ! alpha2( X, xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30     1 ==> 1
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72651) {G5,W9,D4,L2,V1,M2}  { ! sdtpldt0( xa, smndt0( xb ) ) = X, 
% 69.92/70.30    ! alpha2( X, xq ) }.
% 69.92/70.30  parent0[0]: (2837) {G5,W9,D4,L2,V1,M2} P(30,43);r(2135) { ! X = sdtpldt0( 
% 69.92/70.30    xa, smndt0( xb ) ), ! alpha2( X, xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqrefl: (72652) {G0,W6,D4,L1,V0,M1}  { ! alpha2( sdtpldt0( xa, smndt0( xb )
% 69.92/70.30     ), xq ) }.
% 69.92/70.30  parent0[0]: (72651) {G5,W9,D4,L2,V1,M2}  { ! sdtpldt0( xa, smndt0( xb ) ) =
% 69.92/70.30     X, ! alpha2( X, xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := sdtpldt0( xa, smndt0( xb ) )
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (2849) {G6,W6,D4,L1,V0,M1} Q(2837) { ! alpha2( sdtpldt0( xa, 
% 69.92/70.30    smndt0( xb ) ), xq ) }.
% 69.92/70.30  parent0: (72652) {G0,W6,D4,L1,V0,M1}  { ! alpha2( sdtpldt0( xa, smndt0( xb
% 69.92/70.30     ) ), xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72653) {G1,W5,D4,L1,V0,M1}  { aInteger0( sdtpldt0( smndt0( xb
% 69.92/70.30     ), xa ) ) }.
% 69.92/70.30  parent0[0]: (90) {G2,W7,D4,L2,V1,M2} R(4,82) { ! aInteger0( X ), aInteger0
% 69.92/70.30    ( sdtpldt0( smndt0( xb ), X ) ) }.
% 69.92/70.30  parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := xa
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (5743) {G3,W5,D4,L1,V0,M1} R(90,36) { aInteger0( sdtpldt0( 
% 69.92/70.30    smndt0( xb ), xa ) ) }.
% 69.92/70.30  parent0: (72653) {G1,W5,D4,L1,V0,M1}  { aInteger0( sdtpldt0( smndt0( xb ), 
% 69.92/70.30    xa ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72656) {G1,W11,D4,L3,V0,M3}  { ! aInteger0( xq ), xq ==> sz00
% 69.92/70.30    , aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  parent0[0]: (2153) {G1,W13,D4,L4,V0,M4} R(32,41);r(36) { ! aInteger0( xb )
% 69.92/70.30    , ! aInteger0( xq ), xq ==> sz00, aDivisorOf0( xq, sdtpldt0( xa, smndt0( 
% 69.92/70.30    xb ) ) ) }.
% 69.92/70.30  parent1[0]: (37) {G0,W2,D2,L1,V0,M1} I { aInteger0( xb ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72657) {G1,W9,D4,L2,V0,M2}  { xq ==> sz00, aDivisorOf0( xq, 
% 69.92/70.30    sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  parent0[0]: (72656) {G1,W11,D4,L3,V0,M3}  { ! aInteger0( xq ), xq ==> sz00
% 69.92/70.30    , aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  parent1[0]: (38) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72658) {G1,W6,D4,L1,V0,M1}  { aDivisorOf0( xq, sdtpldt0( xa, 
% 69.92/70.30    smndt0( xb ) ) ) }.
% 69.92/70.30  parent0[0]: (39) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 69.92/70.30  parent1[0]: (72657) {G1,W9,D4,L2,V0,M2}  { xq ==> sz00, aDivisorOf0( xq, 
% 69.92/70.30    sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (20614) {G2,W6,D4,L1,V0,M1} S(2153);r(37);r(38);r(39) { 
% 69.92/70.30    aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  parent0: (72658) {G1,W6,D4,L1,V0,M1}  { aDivisorOf0( xq, sdtpldt0( xa, 
% 69.92/70.30    smndt0( xb ) ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  eqswap: (72659) {G2,W11,D4,L2,V1,M2}  { sdtpldt0( X, smndt0( xb ) ) = 
% 69.92/70.30    sdtpldt0( smndt0( xb ), X ), ! aInteger0( X ) }.
% 69.92/70.30  parent0[1]: (276) {G2,W11,D4,L2,V1,M2} R(7,82) { ! aInteger0( X ), sdtpldt0
% 69.92/70.30    ( smndt0( xb ), X ) = sdtpldt0( X, smndt0( xb ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := X
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72660) {G1,W9,D4,L1,V0,M1}  { sdtpldt0( xa, smndt0( xb ) ) = 
% 69.92/70.30    sdtpldt0( smndt0( xb ), xa ) }.
% 69.92/70.30  parent0[1]: (72659) {G2,W11,D4,L2,V1,M2}  { sdtpldt0( X, smndt0( xb ) ) = 
% 69.92/70.30    sdtpldt0( smndt0( xb ), X ), ! aInteger0( X ) }.
% 69.92/70.30  parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := xa
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (53428) {G3,W9,D4,L1,V0,M1} R(276,36) { sdtpldt0( xa, smndt0( 
% 69.92/70.30    xb ) ) ==> sdtpldt0( smndt0( xb ), xa ) }.
% 69.92/70.30  parent0: (72660) {G1,W9,D4,L1,V0,M1}  { sdtpldt0( xa, smndt0( xb ) ) = 
% 69.92/70.30    sdtpldt0( smndt0( xb ), xa ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  paramod: (72663) {G3,W6,D4,L1,V0,M1}  { aDivisorOf0( xq, sdtpldt0( smndt0( 
% 69.92/70.30    xb ), xa ) ) }.
% 69.92/70.30  parent0[0]: (53428) {G3,W9,D4,L1,V0,M1} R(276,36) { sdtpldt0( xa, smndt0( 
% 69.92/70.30    xb ) ) ==> sdtpldt0( smndt0( xb ), xa ) }.
% 69.92/70.30  parent1[0; 2]: (20614) {G2,W6,D4,L1,V0,M1} S(2153);r(37);r(38);r(39) { 
% 69.92/70.30    aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (61611) {G4,W6,D4,L1,V0,M1} S(20614);d(53428) { aDivisorOf0( 
% 69.92/70.30    xq, sdtpldt0( smndt0( xb ), xa ) ) }.
% 69.92/70.30  parent0: (72663) {G3,W6,D4,L1,V0,M1}  { aDivisorOf0( xq, sdtpldt0( smndt0( 
% 69.92/70.30    xb ), xa ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  paramod: (72665) {G4,W6,D4,L1,V0,M1}  { ! alpha2( sdtpldt0( smndt0( xb ), 
% 69.92/70.30    xa ), xq ) }.
% 69.92/70.30  parent0[0]: (53428) {G3,W9,D4,L1,V0,M1} R(276,36) { sdtpldt0( xa, smndt0( 
% 69.92/70.30    xb ) ) ==> sdtpldt0( smndt0( xb ), xa ) }.
% 69.92/70.30  parent1[0; 2]: (2849) {G6,W6,D4,L1,V0,M1} Q(2837) { ! alpha2( sdtpldt0( xa
% 69.92/70.30    , smndt0( xb ) ), xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (61941) {G7,W6,D4,L1,V0,M1} S(2849);d(53428) { ! alpha2( 
% 69.92/70.30    sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 69.92/70.30  parent0: (72665) {G4,W6,D4,L1,V0,M1}  { ! alpha2( sdtpldt0( smndt0( xb ), 
% 69.92/70.30    xa ), xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72666) {G1,W11,D4,L2,V0,M2}  { ! aInteger0( sdtpldt0( smndt0( 
% 69.92/70.30    xb ), xa ) ), alpha1( sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 69.92/70.30  parent0[1]: (24) {G0,W8,D2,L3,V2,M3} I { ! aInteger0( X ), ! aDivisorOf0( Y
% 69.92/70.30    , X ), alpha1( X, Y ) }.
% 69.92/70.30  parent1[0]: (61611) {G4,W6,D4,L1,V0,M1} S(20614);d(53428) { aDivisorOf0( xq
% 69.92/70.30    , sdtpldt0( smndt0( xb ), xa ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := sdtpldt0( smndt0( xb ), xa )
% 69.92/70.30     Y := xq
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72667) {G2,W6,D4,L1,V0,M1}  { alpha1( sdtpldt0( smndt0( xb ), 
% 69.92/70.30    xa ), xq ) }.
% 69.92/70.30  parent0[0]: (72666) {G1,W11,D4,L2,V0,M2}  { ! aInteger0( sdtpldt0( smndt0( 
% 69.92/70.30    xb ), xa ) ), alpha1( sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 69.92/70.30  parent1[0]: (5743) {G3,W5,D4,L1,V0,M1} R(90,36) { aInteger0( sdtpldt0( 
% 69.92/70.30    smndt0( xb ), xa ) ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (71215) {G5,W6,D4,L1,V0,M1} R(61611,24);r(5743) { alpha1( 
% 69.92/70.30    sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 69.92/70.30  parent0: (72667) {G2,W6,D4,L1,V0,M1}  { alpha1( sdtpldt0( smndt0( xb ), xa
% 69.92/70.30     ), xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30     0 ==> 0
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72668) {G1,W6,D4,L1,V0,M1}  { alpha2( sdtpldt0( smndt0( xb ), 
% 69.92/70.30    xa ), xq ) }.
% 69.92/70.30  parent0[0]: (27) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha2( X, Y )
% 69.92/70.30     }.
% 69.92/70.30  parent1[0]: (71215) {G5,W6,D4,L1,V0,M1} R(61611,24);r(5743) { alpha1( 
% 69.92/70.30    sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30     X := sdtpldt0( smndt0( xb ), xa )
% 69.92/70.30     Y := xq
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  resolution: (72669) {G2,W0,D0,L0,V0,M0}  {  }.
% 69.92/70.30  parent0[0]: (61941) {G7,W6,D4,L1,V0,M1} S(2849);d(53428) { ! alpha2( 
% 69.92/70.30    sdtpldt0( smndt0( xb ), xa ), xq ) }.
% 69.92/70.30  parent1[0]: (72668) {G1,W6,D4,L1,V0,M1}  { alpha2( sdtpldt0( smndt0( xb ), 
% 69.92/70.30    xa ), xq ) }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  substitution1:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  subsumption: (71371) {G8,W0,D0,L0,V0,M0} R(71215,27);r(61941) {  }.
% 69.92/70.30  parent0: (72669) {G2,W0,D0,L0,V0,M0}  {  }.
% 69.92/70.30  substitution0:
% 69.92/70.30  end
% 69.92/70.30  permutation0:
% 69.92/70.30  end
% 69.92/70.30  
% 69.92/70.30  Proof check complete!
% 69.92/70.30  
% 69.92/70.30  Memory use:
% 69.92/70.30  
% 69.92/70.30  space for terms:        853555
% 69.92/70.30  space for clauses:      3909285
% 69.92/70.30  
% 69.92/70.30  
% 69.92/70.30  clauses generated:      267070
% 69.92/70.30  clauses kept:           71372
% 69.92/70.30  clauses selected:       1318
% 69.92/70.30  clauses deleted:        11221
% 69.92/70.30  clauses inuse deleted:  115
% 69.92/70.30  
% 69.92/70.30  subsentry:          1045456
% 69.92/70.30  literals s-matched: 381591
% 69.92/70.30  literals matched:   356185
% 69.92/70.30  full subsumption:   144914
% 69.92/70.30  
% 69.92/70.30  checksum:           1351031469
% 69.92/70.30  
% 69.92/70.30  
% 69.92/70.30  Bliksem ended
%------------------------------------------------------------------------------