TSTP Solution File: NUM857+2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM857+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 06:27:09 EDT 2022

% Result   : Theorem 3.76s 4.13s
% Output   : Refutation 3.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM857+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.14/0.33  % Computer : n029.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.34  % DateTime : Wed Jul  6 14:40:13 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 2.47/2.82  *** allocated 10000 integers for termspace/termends
% 2.47/2.82  *** allocated 10000 integers for clauses
% 2.47/2.82  *** allocated 10000 integers for justifications
% 2.47/2.82  Bliksem 1.12
% 2.47/2.82  
% 2.47/2.82  
% 2.47/2.82  Automatic Strategy Selection
% 2.47/2.82  
% 2.47/2.82  
% 2.47/2.82  Clauses:
% 2.47/2.82  
% 2.47/2.82  { ! geq( vmul( vd526, vd529 ), vmul( vd527, vd530 ) ) }.
% 2.47/2.82  { geq( vd529, vd530 ) }.
% 2.47/2.82  { geq( vd526, vd527 ) }.
% 2.47/2.82  { ! greater( Z, T ), ! geq( X, Y ), greater( vmul( X, Z ), vmul( Y, T ) ) }
% 2.47/2.82    .
% 2.47/2.82  { ! geq( Z, T ), ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, T ) ) }
% 2.47/2.82    .
% 2.47/2.82  { ! greater( Z, T ), ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, T )
% 2.47/2.82     ) }.
% 2.47/2.82  { ! less( vmul( X, Z ), vmul( Y, Z ) ), less( X, Y ) }.
% 2.47/2.82  { ! vmul( X, Z ) = vmul( Y, Z ), X = Y }.
% 2.47/2.82  { ! greater( vmul( X, Z ), vmul( Y, Z ) ), greater( X, Y ) }.
% 2.47/2.82  { ! less( X, Y ), less( vmul( X, Z ), vmul( Y, Z ) ) }.
% 2.47/2.82  { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 2.47/2.82  { ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, Z ) ) }.
% 2.47/2.82  { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z ) ) }.
% 2.47/2.82  { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 2.47/2.82  { vmul( X, Y ) = vmul( Y, X ) }.
% 2.47/2.82  { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 2.47/2.82  { vmul( v1, X ) = X }.
% 2.47/2.82  { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 2.47/2.82  { vmul( X, v1 ) = X }.
% 2.47/2.82  { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 2.47/2.82  { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 2.47/2.82  { geq( X, v1 ) }.
% 2.47/2.82  { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 2.47/2.82  { ! greater( Z, T ), ! geq( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 2.47/2.82     }.
% 2.47/2.82  { ! geq( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 2.47/2.82     }.
% 2.47/2.82  { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 2.47/2.82     ) ) }.
% 2.47/2.82  { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 2.47/2.82  { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 2.47/2.82  { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 2.47/2.82  { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 2.47/2.82  { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 2.47/2.82  { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 2.47/2.82  { greater( vplus( X, Y ), X ) }.
% 2.47/2.82  { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 2.47/2.82  { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 2.47/2.82  { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 2.47/2.82  { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 2.47/2.82  { ! leq( X, Y ), geq( Y, X ) }.
% 2.47/2.82  { ! geq( X, Y ), leq( Y, X ) }.
% 2.47/2.82  { ! leq( Y, X ), less( Y, X ), Y = X }.
% 2.47/2.82  { ! less( Y, X ), leq( Y, X ) }.
% 2.47/2.82  { ! Y = X, leq( Y, X ) }.
% 2.47/2.82  { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 2.47/2.82  { ! greater( Y, X ), geq( Y, X ) }.
% 2.47/2.82  { ! Y = X, geq( Y, X ) }.
% 2.47/2.82  { ! less( X, Y ), greater( Y, X ) }.
% 2.47/2.82  { ! greater( X, Y ), less( Y, X ) }.
% 2.47/2.82  { X = Y, greater( X, Y ), less( X, Y ) }.
% 2.47/2.82  { ! X = Y, ! less( X, Y ) }.
% 2.47/2.82  { ! greater( X, Y ), ! less( X, Y ) }.
% 2.47/2.82  { ! X = Y, ! greater( X, Y ) }.
% 2.47/2.82  { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 2.47/2.82  { ! X = vplus( Y, Z ), less( Y, X ) }.
% 2.47/2.82  { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 2.47/2.82  { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 2.47/2.82  { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 2.47/2.82  { ! X = Y, ! Y = vplus( X, Z ) }.
% 2.47/2.82  { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 2.47/2.82  { ! X = Y, ! X = vplus( Y, Z ) }.
% 2.47/2.82  { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 2.47/2.82  { ! Y = vplus( X, Y ) }.
% 2.47/2.82  { vplus( Y, X ) = vplus( X, Y ) }.
% 2.47/2.82  { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 2.47/2.82  { vplus( v1, X ) = vsucc( X ) }.
% 2.47/2.82  { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 2.47/2.82  { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 2.47/2.82  { vplus( X, v1 ) = vsucc( X ) }.
% 2.47/2.82  { X = v1, X = vsucc( vskolem2( X ) ) }.
% 2.47/2.82  { ! vsucc( X ) = X }.
% 2.47/2.82  { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 2.47/2.82  { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 2.47/2.82  { ! vsucc( X ) = v1 }.
% 2.47/2.82  
% 2.47/2.82  percentage equality = 0.367647, percentage horn = 0.929577
% 2.47/2.82  This is a problem with some equality
% 2.47/2.82  
% 2.47/2.82  
% 2.47/2.82  
% 2.47/2.82  Options Used:
% 2.47/2.82  
% 2.47/2.82  useres =            1
% 2.47/2.82  useparamod =        1
% 2.47/2.82  useeqrefl =         1
% 2.47/2.82  useeqfact =         1
% 2.47/2.82  usefactor =         1
% 2.47/2.82  usesimpsplitting =  0
% 2.47/2.82  usesimpdemod =      5
% 2.47/2.82  usesimpres =        3
% 2.47/2.82  
% 2.47/2.82  resimpinuse      =  1000
% 2.47/2.82  resimpclauses =     20000
% 2.47/2.82  substype =          eqrewr
% 2.47/2.82  backwardsubs =      1
% 2.47/2.82  selectoldest =      5
% 2.47/2.82  
% 2.47/2.82  litorderings [0] =  split
% 2.47/2.82  litorderings [1] =  extend the termordering, first sorting on arguments
% 2.47/2.82  
% 2.47/2.82  termordering =      kbo
% 2.47/2.82  
% 2.47/2.82  litapriori =        0
% 2.47/2.82  termapriori =       1
% 3.76/4.13  litaposteriori =    0
% 3.76/4.13  termaposteriori =   0
% 3.76/4.13  demodaposteriori =  0
% 3.76/4.13  ordereqreflfact =   0
% 3.76/4.13  
% 3.76/4.13  litselect =         negord
% 3.76/4.13  
% 3.76/4.13  maxweight =         15
% 3.76/4.13  maxdepth =          30000
% 3.76/4.13  maxlength =         115
% 3.76/4.13  maxnrvars =         195
% 3.76/4.13  excuselevel =       1
% 3.76/4.13  increasemaxweight = 1
% 3.76/4.13  
% 3.76/4.13  maxselected =       10000000
% 3.76/4.13  maxnrclauses =      10000000
% 3.76/4.13  
% 3.76/4.13  showgenerated =    0
% 3.76/4.13  showkept =         0
% 3.76/4.13  showselected =     0
% 3.76/4.13  showdeleted =      0
% 3.76/4.13  showresimp =       1
% 3.76/4.13  showstatus =       2000
% 3.76/4.13  
% 3.76/4.13  prologoutput =     0
% 3.76/4.13  nrgoals =          5000000
% 3.76/4.13  totalproof =       1
% 3.76/4.13  
% 3.76/4.13  Symbols occurring in the translation:
% 3.76/4.13  
% 3.76/4.13  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 3.76/4.13  .  [1, 2]      (w:1, o:135, a:1, s:1, b:0), 
% 3.76/4.13  !  [4, 1]      (w:0, o:128, a:1, s:1, b:0), 
% 3.76/4.13  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 3.76/4.13  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 3.76/4.13  vd526  [35, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 3.76/4.13  vd529  [36, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 3.76/4.13  vmul  [37, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 3.76/4.13  vd527  [38, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 3.76/4.13  vd530  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 3.76/4.13  geq  [40, 2]      (w:1, o:160, a:1, s:1, b:0), 
% 3.76/4.13  greater  [45, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 3.76/4.13  less  [53, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 3.76/4.13  vplus  [73, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 3.76/4.13  vsucc  [78, 1]      (w:1, o:133, a:1, s:1, b:0), 
% 3.76/4.13  v1  [80, 0]      (w:1, o:118, a:1, s:1, b:0), 
% 3.76/4.13  leq  [85, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 3.76/4.13  vskolem2  [158, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 3.76/4.13  skol1  [165, 2]      (w:1, o:165, a:1, s:1, b:1), 
% 3.76/4.13  skol2  [166, 2]      (w:1, o:166, a:1, s:1, b:1), 
% 3.76/4.13  skol3  [167, 2]      (w:1, o:167, a:1, s:1, b:1), 
% 3.76/4.13  skol4  [168, 2]      (w:1, o:168, a:1, s:1, b:1).
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Starting Search:
% 3.76/4.13  
% 3.76/4.13  *** allocated 15000 integers for clauses
% 3.76/4.13  *** allocated 22500 integers for clauses
% 3.76/4.13  *** allocated 33750 integers for clauses
% 3.76/4.13  *** allocated 50625 integers for clauses
% 3.76/4.13  *** allocated 15000 integers for termspace/termends
% 3.76/4.13  *** allocated 75937 integers for clauses
% 3.76/4.13  *** allocated 22500 integers for termspace/termends
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  *** allocated 113905 integers for clauses
% 3.76/4.13  *** allocated 33750 integers for termspace/termends
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    5433
% 3.76/4.13  Kept:         2138
% 3.76/4.13  Inuse:        159
% 3.76/4.13  Deleted:      6
% 3.76/4.13  Deletedinuse: 4
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  *** allocated 170857 integers for clauses
% 3.76/4.13  *** allocated 50625 integers for termspace/termends
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  *** allocated 256285 integers for clauses
% 3.76/4.13  *** allocated 75937 integers for termspace/termends
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    10320
% 3.76/4.13  Kept:         4146
% 3.76/4.13  Inuse:        202
% 3.76/4.13  Deleted:      12
% 3.76/4.13  Deletedinuse: 10
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  *** allocated 384427 integers for clauses
% 3.76/4.13  *** allocated 113905 integers for termspace/termends
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    15953
% 3.76/4.13  Kept:         6177
% 3.76/4.13  Inuse:        239
% 3.76/4.13  Deleted:      12
% 3.76/4.13  Deletedinuse: 10
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    22273
% 3.76/4.13  Kept:         8197
% 3.76/4.13  Inuse:        298
% 3.76/4.13  Deleted:      12
% 3.76/4.13  Deletedinuse: 10
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  *** allocated 576640 integers for clauses
% 3.76/4.13  *** allocated 170857 integers for termspace/termends
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    27522
% 3.76/4.13  Kept:         10228
% 3.76/4.13  Inuse:        347
% 3.76/4.13  Deleted:      18
% 3.76/4.13  Deletedinuse: 10
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    35014
% 3.76/4.13  Kept:         12248
% 3.76/4.13  Inuse:        400
% 3.76/4.13  Deleted:      18
% 3.76/4.13  Deletedinuse: 10
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  *** allocated 864960 integers for clauses
% 3.76/4.13  *** allocated 256285 integers for termspace/termends
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    42695
% 3.76/4.13  Kept:         14265
% 3.76/4.13  Inuse:        462
% 3.76/4.13  Deleted:      55
% 3.76/4.13  Deletedinuse: 44
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    49879
% 3.76/4.13  Kept:         16285
% 3.76/4.13  Inuse:        523
% 3.76/4.13  Deleted:      65
% 3.76/4.13  Deletedinuse: 52
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    60727
% 3.76/4.13  Kept:         18317
% 3.76/4.13  Inuse:        570
% 3.76/4.13  Deleted:      67
% 3.76/4.13  Deletedinuse: 52
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  *** allocated 1297440 integers for clauses
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  Resimplifying clauses:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  *** allocated 384427 integers for termspace/termends
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    71950
% 3.76/4.13  Kept:         20339
% 3.76/4.13  Inuse:        625
% 3.76/4.13  Deleted:      3011
% 3.76/4.13  Deletedinuse: 52
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Intermediate Status:
% 3.76/4.13  Generated:    82162
% 3.76/4.13  Kept:         22340
% 3.76/4.13  Inuse:        692
% 3.76/4.13  Deleted:      3011
% 3.76/4.13  Deletedinuse: 52
% 3.76/4.13  
% 3.76/4.13  Resimplifying inuse:
% 3.76/4.13  Done
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Bliksems!, er is een bewijs:
% 3.76/4.13  % SZS status Theorem
% 3.76/4.13  % SZS output start Refutation
% 3.76/4.13  
% 3.76/4.13  (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul( vd527, vd530
% 3.76/4.13     ) ) }.
% 3.76/4.13  (1) {G0,W3,D2,L1,V0,M1} I { geq( vd529, vd530 ) }.
% 3.76/4.13  (2) {G0,W3,D2,L1,V0,M1} I { geq( vd526, vd527 ) }.
% 3.76/4.13  (3) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! geq( X, Y ), greater( 
% 3.76/4.13    vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  (4) {G0,W13,D3,L3,V4,M3} I { ! geq( Z, T ), ! greater( X, Y ), greater( 
% 3.76/4.13    vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  (14) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 3.76/4.13  (43) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.76/4.13  (44) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.76/4.13  (45) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X ) }.
% 3.76/4.13  (47) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y ) }.
% 3.76/4.13  (50) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 3.76/4.13  (74) {G1,W3,D2,L1,V1,M1} Q(44) { geq( X, X ) }.
% 3.76/4.13  (142) {G1,W7,D3,L1,V0,M1} R(44,0) { ! vmul( vd527, vd530 ) ==> vmul( vd526
% 3.76/4.13    , vd529 ) }.
% 3.76/4.13  (184) {G1,W13,D3,L3,V4,M3} R(43,4) { geq( vmul( X, Y ), vmul( Z, T ) ), ! 
% 3.76/4.13    geq( Y, T ), ! greater( X, Z ) }.
% 3.76/4.13  (186) {G1,W13,D3,L3,V4,M3} R(43,3) { geq( vmul( X, Y ), vmul( Z, T ) ), ! 
% 3.76/4.13    greater( Y, T ), ! geq( X, Z ) }.
% 3.76/4.13  (406) {G1,W7,D3,L1,V2,M1} R(14,50) { ! greater( vmul( X, Y ), vmul( Y, X )
% 3.76/4.13     ) }.
% 3.76/4.13  (727) {G2,W6,D2,L2,V2,M2} R(406,4) { ! geq( X, Y ), ! greater( Y, X ) }.
% 3.76/4.13  (755) {G3,W3,D2,L1,V0,M1} R(727,1) { ! greater( vd530, vd529 ) }.
% 3.76/4.13  (756) {G3,W3,D2,L1,V0,M1} R(727,2) { ! greater( vd527, vd526 ) }.
% 3.76/4.13  (818) {G4,W3,D2,L1,V0,M1} R(755,45) { ! less( vd529, vd530 ) }.
% 3.76/4.13  (879) {G4,W3,D2,L1,V0,M1} R(756,45) { ! less( vd526, vd527 ) }.
% 3.76/4.13  (23385) {G2,W3,D2,L1,V0,M1} R(184,0);r(1) { ! greater( vd526, vd527 ) }.
% 3.76/4.13  (23393) {G5,W3,D2,L1,V0,M1} R(23385,47);r(879) { vd527 ==> vd526 }.
% 3.76/4.13  (23505) {G6,W3,D2,L1,V0,M1} R(186,0);d(23393);r(74) { ! greater( vd529, 
% 3.76/4.13    vd530 ) }.
% 3.76/4.13  (23511) {G7,W3,D2,L1,V0,M1} R(23505,47);r(818) { vd530 ==> vd529 }.
% 3.76/4.13  (23518) {G8,W0,D0,L0,V0,M0} P(23511,142);d(23393);q {  }.
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  % SZS output end Refutation
% 3.76/4.13  found a proof!
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Unprocessed initial clauses:
% 3.76/4.13  
% 3.76/4.13  (23520) {G0,W7,D3,L1,V0,M1}  { ! geq( vmul( vd526, vd529 ), vmul( vd527, 
% 3.76/4.13    vd530 ) ) }.
% 3.76/4.13  (23521) {G0,W3,D2,L1,V0,M1}  { geq( vd529, vd530 ) }.
% 3.76/4.13  (23522) {G0,W3,D2,L1,V0,M1}  { geq( vd526, vd527 ) }.
% 3.76/4.13  (23523) {G0,W13,D3,L3,V4,M3}  { ! greater( Z, T ), ! geq( X, Y ), greater( 
% 3.76/4.13    vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  (23524) {G0,W13,D3,L3,V4,M3}  { ! geq( Z, T ), ! greater( X, Y ), greater( 
% 3.76/4.13    vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  (23525) {G0,W13,D3,L3,V4,M3}  { ! greater( Z, T ), ! greater( X, Y ), 
% 3.76/4.13    greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  (23526) {G0,W10,D3,L2,V3,M2}  { ! less( vmul( X, Z ), vmul( Y, Z ) ), less
% 3.76/4.13    ( X, Y ) }.
% 3.76/4.13  (23527) {G0,W10,D3,L2,V3,M2}  { ! vmul( X, Z ) = vmul( Y, Z ), X = Y }.
% 3.76/4.13  (23528) {G0,W10,D3,L2,V3,M2}  { ! greater( vmul( X, Z ), vmul( Y, Z ) ), 
% 3.76/4.13    greater( X, Y ) }.
% 3.76/4.13  (23529) {G0,W10,D3,L2,V3,M2}  { ! less( X, Y ), less( vmul( X, Z ), vmul( Y
% 3.76/4.13    , Z ) ) }.
% 3.76/4.13  (23530) {G0,W10,D3,L2,V3,M2}  { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 3.76/4.13  (23531) {G0,W10,D3,L2,V3,M2}  { ! greater( X, Y ), greater( vmul( X, Z ), 
% 3.76/4.13    vmul( Y, Z ) ) }.
% 3.76/4.13  (23532) {G0,W11,D4,L1,V3,M1}  { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y
% 3.76/4.13    , Z ) ) }.
% 3.76/4.13  (23533) {G0,W13,D4,L1,V3,M1}  { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, 
% 3.76/4.13    Y ), vmul( X, Z ) ) }.
% 3.76/4.13  (23534) {G0,W7,D3,L1,V2,M1}  { vmul( X, Y ) = vmul( Y, X ) }.
% 3.76/4.13  (23535) {G0,W10,D4,L1,V2,M1}  { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y )
% 3.76/4.13    , Y ) }.
% 3.76/4.13  (23536) {G0,W5,D3,L1,V1,M1}  { vmul( v1, X ) = X }.
% 3.76/4.13  (23537) {G0,W10,D4,L1,V2,M1}  { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y )
% 3.76/4.13    , X ) }.
% 3.76/4.13  (23538) {G0,W5,D3,L1,V1,M1}  { vmul( X, v1 ) = X }.
% 3.76/4.13  (23539) {G0,W8,D3,L2,V2,M2}  { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 3.76/4.13  (23540) {G0,W8,D3,L2,V2,M2}  { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 3.76/4.13     }.
% 3.76/4.13  (23541) {G0,W3,D2,L1,V1,M1}  { geq( X, v1 ) }.
% 3.76/4.13  (23542) {G0,W13,D3,L3,V4,M3}  { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X
% 3.76/4.13    , Z ), vplus( Y, T ) ) }.
% 3.76/4.13  (23543) {G0,W13,D3,L3,V4,M3}  { ! greater( Z, T ), ! geq( X, Y ), greater( 
% 3.76/4.13    vplus( X, Z ), vplus( Y, T ) ) }.
% 3.76/4.13  (23544) {G0,W13,D3,L3,V4,M3}  { ! geq( Z, T ), ! greater( X, Y ), greater( 
% 3.76/4.13    vplus( X, Z ), vplus( Y, T ) ) }.
% 3.76/4.13  (23545) {G0,W13,D3,L3,V4,M3}  { ! greater( Z, T ), ! greater( X, Y ), 
% 3.76/4.13    greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 3.76/4.13  (23546) {G0,W10,D3,L2,V3,M2}  { ! less( vplus( X, Z ), vplus( Y, Z ) ), 
% 3.76/4.13    less( X, Y ) }.
% 3.76/4.13  (23547) {G0,W10,D3,L2,V3,M2}  { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 3.76/4.13  (23548) {G0,W10,D3,L2,V3,M2}  { ! greater( vplus( X, Z ), vplus( Y, Z ) ), 
% 3.76/4.13    greater( X, Y ) }.
% 3.76/4.13  (23549) {G0,W10,D3,L2,V3,M2}  { ! less( X, Y ), less( vplus( X, Z ), vplus
% 3.76/4.13    ( Y, Z ) ) }.
% 3.76/4.13  (23550) {G0,W10,D3,L2,V3,M2}  { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 3.76/4.13  (23551) {G0,W10,D3,L2,V3,M2}  { ! greater( X, Y ), greater( vplus( X, Z ), 
% 3.76/4.13    vplus( Y, Z ) ) }.
% 3.76/4.13  (23552) {G0,W5,D3,L1,V2,M1}  { greater( vplus( X, Y ), X ) }.
% 3.76/4.13  (23553) {G0,W9,D2,L3,V3,M3}  { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y )
% 3.76/4.13     }.
% 3.76/4.13  (23554) {G0,W9,D2,L3,V3,M3}  { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 3.76/4.13     }.
% 3.76/4.13  (23555) {G0,W9,D2,L3,V3,M3}  { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 3.76/4.13     }.
% 3.76/4.13  (23556) {G0,W9,D2,L3,V3,M3}  { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 3.76/4.13     }.
% 3.76/4.13  (23557) {G0,W6,D2,L2,V2,M2}  { ! leq( X, Y ), geq( Y, X ) }.
% 3.76/4.13  (23558) {G0,W6,D2,L2,V2,M2}  { ! geq( X, Y ), leq( Y, X ) }.
% 3.76/4.13  (23559) {G0,W9,D2,L3,V2,M3}  { ! leq( Y, X ), less( Y, X ), Y = X }.
% 3.76/4.13  (23560) {G0,W6,D2,L2,V2,M2}  { ! less( Y, X ), leq( Y, X ) }.
% 3.76/4.13  (23561) {G0,W6,D2,L2,V2,M2}  { ! Y = X, leq( Y, X ) }.
% 3.76/4.13  (23562) {G0,W9,D2,L3,V2,M3}  { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 3.76/4.13  (23563) {G0,W6,D2,L2,V2,M2}  { ! greater( Y, X ), geq( Y, X ) }.
% 3.76/4.13  (23564) {G0,W6,D2,L2,V2,M2}  { ! Y = X, geq( Y, X ) }.
% 3.76/4.13  (23565) {G0,W6,D2,L2,V2,M2}  { ! less( X, Y ), greater( Y, X ) }.
% 3.76/4.13  (23566) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), less( Y, X ) }.
% 3.76/4.13  (23567) {G0,W9,D2,L3,V2,M3}  { X = Y, greater( X, Y ), less( X, Y ) }.
% 3.76/4.13  (23568) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! less( X, Y ) }.
% 3.76/4.13  (23569) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), ! less( X, Y ) }.
% 3.76/4.13  (23570) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! greater( X, Y ) }.
% 3.76/4.13  (23571) {G0,W10,D4,L2,V2,M2}  { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 3.76/4.13     ) }.
% 3.76/4.13  (23572) {G0,W8,D3,L2,V3,M2}  { ! X = vplus( Y, Z ), less( Y, X ) }.
% 3.76/4.13  (23573) {G0,W10,D4,L2,V2,M2}  { ! greater( Y, X ), Y = vplus( X, skol2( X, 
% 3.76/4.13    Y ) ) }.
% 3.76/4.13  (23574) {G0,W8,D3,L2,V3,M2}  { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 3.76/4.13  (23575) {G0,W17,D4,L3,V2,M3}  { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = 
% 3.76/4.13    vplus( X, skol4( X, Y ) ) }.
% 3.76/4.13  (23576) {G0,W8,D3,L2,V3,M2}  { ! X = Y, ! Y = vplus( X, Z ) }.
% 3.76/4.13  (23577) {G0,W10,D3,L2,V4,M2}  { ! X = vplus( Y, Z ), ! Y = vplus( X, T )
% 3.76/4.13     }.
% 3.76/4.13  (23578) {G0,W8,D3,L2,V3,M2}  { ! X = Y, ! X = vplus( Y, Z ) }.
% 3.76/4.13  (23579) {G0,W10,D3,L2,V3,M2}  { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 3.76/4.13  (23580) {G0,W5,D3,L1,V2,M1}  { ! Y = vplus( X, Y ) }.
% 3.76/4.13  (23581) {G0,W7,D3,L1,V2,M1}  { vplus( Y, X ) = vplus( X, Y ) }.
% 3.76/4.13  (23582) {G0,W9,D4,L1,V2,M1}  { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y
% 3.76/4.13     ) ) }.
% 3.76/4.13  (23583) {G0,W6,D3,L1,V1,M1}  { vplus( v1, X ) = vsucc( X ) }.
% 3.76/4.13  (23584) {G0,W11,D4,L1,V3,M1}  { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 3.76/4.13    ( Y, Z ) ) }.
% 3.76/4.13  (23585) {G0,W9,D4,L1,V2,M1}  { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y
% 3.76/4.13     ) ) }.
% 3.76/4.13  (23586) {G0,W6,D3,L1,V1,M1}  { vplus( X, v1 ) = vsucc( X ) }.
% 3.76/4.13  (23587) {G0,W8,D4,L2,V1,M2}  { X = v1, X = vsucc( vskolem2( X ) ) }.
% 3.76/4.13  (23588) {G0,W4,D3,L1,V1,M1}  { ! vsucc( X ) = X }.
% 3.76/4.13  (23589) {G0,W8,D3,L2,V2,M2}  { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 3.76/4.13  (23590) {G0,W8,D3,L2,V2,M2}  { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 3.76/4.13  (23591) {G0,W4,D3,L1,V1,M1}  { ! vsucc( X ) = v1 }.
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Total Proof:
% 3.76/4.13  
% 3.76/4.13  subsumption: (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul
% 3.76/4.13    ( vd527, vd530 ) ) }.
% 3.76/4.13  parent0: (23520) {G0,W7,D3,L1,V0,M1}  { ! geq( vmul( vd526, vd529 ), vmul( 
% 3.76/4.13    vd527, vd530 ) ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (1) {G0,W3,D2,L1,V0,M1} I { geq( vd529, vd530 ) }.
% 3.76/4.13  parent0: (23521) {G0,W3,D2,L1,V0,M1}  { geq( vd529, vd530 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (2) {G0,W3,D2,L1,V0,M1} I { geq( vd526, vd527 ) }.
% 3.76/4.13  parent0: (23522) {G0,W3,D2,L1,V0,M1}  { geq( vd526, vd527 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (3) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! geq( X, Y )
% 3.76/4.13    , greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  parent0: (23523) {G0,W13,D3,L3,V4,M3}  { ! greater( Z, T ), ! geq( X, Y ), 
% 3.76/4.13    greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13     Z := Z
% 3.76/4.13     T := T
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13     2 ==> 2
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (4) {G0,W13,D3,L3,V4,M3} I { ! geq( Z, T ), ! greater( X, Y )
% 3.76/4.13    , greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  parent0: (23524) {G0,W13,D3,L3,V4,M3}  { ! geq( Z, T ), ! greater( X, Y ), 
% 3.76/4.13    greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13     Z := Z
% 3.76/4.13     T := T
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13     2 ==> 2
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (14) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 3.76/4.13  parent0: (23534) {G0,W7,D3,L1,V2,M1}  { vmul( X, Y ) = vmul( Y, X ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (43) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X )
% 3.76/4.13     }.
% 3.76/4.13  parent0: (23563) {G0,W6,D2,L2,V2,M2}  { ! greater( Y, X ), geq( Y, X ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (44) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.76/4.13  parent0: (23564) {G0,W6,D2,L2,V2,M2}  { ! Y = X, geq( Y, X ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (45) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.76/4.13     }.
% 3.76/4.13  parent0: (23565) {G0,W6,D2,L2,V2,M2}  { ! less( X, Y ), greater( Y, X ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (47) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, 
% 3.76/4.13    Y ) }.
% 3.76/4.13  parent0: (23567) {G0,W9,D2,L3,V2,M3}  { X = Y, greater( X, Y ), less( X, Y
% 3.76/4.13     ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13     2 ==> 2
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (50) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 3.76/4.13  parent0: (23570) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! greater( X, Y ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  eqswap: (23695) {G0,W6,D2,L2,V2,M2}  { ! Y = X, geq( X, Y ) }.
% 3.76/4.13  parent0[0]: (44) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := Y
% 3.76/4.13     Y := X
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  eqrefl: (23696) {G0,W3,D2,L1,V1,M1}  { geq( X, X ) }.
% 3.76/4.13  parent0[0]: (23695) {G0,W6,D2,L2,V2,M2}  { ! Y = X, geq( X, Y ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := X
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (74) {G1,W3,D2,L1,V1,M1} Q(44) { geq( X, X ) }.
% 3.76/4.13  parent0: (23696) {G0,W3,D2,L1,V1,M1}  { geq( X, X ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  eqswap: (23697) {G0,W6,D2,L2,V2,M2}  { ! Y = X, geq( X, Y ) }.
% 3.76/4.13  parent0[0]: (44) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := Y
% 3.76/4.13     Y := X
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23698) {G1,W7,D3,L1,V0,M1}  { ! vmul( vd527, vd530 ) = vmul( 
% 3.76/4.13    vd526, vd529 ) }.
% 3.76/4.13  parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul( 
% 3.76/4.13    vd527, vd530 ) ) }.
% 3.76/4.13  parent1[1]: (23697) {G0,W6,D2,L2,V2,M2}  { ! Y = X, geq( X, Y ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := vmul( vd526, vd529 )
% 3.76/4.13     Y := vmul( vd527, vd530 )
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (142) {G1,W7,D3,L1,V0,M1} R(44,0) { ! vmul( vd527, vd530 ) ==>
% 3.76/4.13     vmul( vd526, vd529 ) }.
% 3.76/4.13  parent0: (23698) {G1,W7,D3,L1,V0,M1}  { ! vmul( vd527, vd530 ) = vmul( 
% 3.76/4.13    vd526, vd529 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23700) {G1,W13,D3,L3,V4,M3}  { geq( vmul( X, Y ), vmul( Z, T )
% 3.76/4.13     ), ! geq( Y, T ), ! greater( X, Z ) }.
% 3.76/4.13  parent0[0]: (43) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.76/4.13  parent1[2]: (4) {G0,W13,D3,L3,V4,M3} I { ! geq( Z, T ), ! greater( X, Y ), 
% 3.76/4.13    greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := vmul( Z, T )
% 3.76/4.13     Y := vmul( X, Y )
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Z
% 3.76/4.13     Z := Y
% 3.76/4.13     T := T
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (184) {G1,W13,D3,L3,V4,M3} R(43,4) { geq( vmul( X, Y ), vmul( 
% 3.76/4.13    Z, T ) ), ! geq( Y, T ), ! greater( X, Z ) }.
% 3.76/4.13  parent0: (23700) {G1,W13,D3,L3,V4,M3}  { geq( vmul( X, Y ), vmul( Z, T ) )
% 3.76/4.13    , ! geq( Y, T ), ! greater( X, Z ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13     Z := Z
% 3.76/4.13     T := T
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13     2 ==> 2
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23701) {G1,W13,D3,L3,V4,M3}  { geq( vmul( X, Y ), vmul( Z, T )
% 3.76/4.13     ), ! greater( Y, T ), ! geq( X, Z ) }.
% 3.76/4.13  parent0[0]: (43) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.76/4.13  parent1[2]: (3) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! geq( X, Y ), 
% 3.76/4.13    greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := vmul( Z, T )
% 3.76/4.13     Y := vmul( X, Y )
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Z
% 3.76/4.13     Z := Y
% 3.76/4.13     T := T
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (186) {G1,W13,D3,L3,V4,M3} R(43,3) { geq( vmul( X, Y ), vmul( 
% 3.76/4.13    Z, T ) ), ! greater( Y, T ), ! geq( X, Z ) }.
% 3.76/4.13  parent0: (23701) {G1,W13,D3,L3,V4,M3}  { geq( vmul( X, Y ), vmul( Z, T ) )
% 3.76/4.13    , ! greater( Y, T ), ! geq( X, Z ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13     Z := Z
% 3.76/4.13     T := T
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13     2 ==> 2
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  eqswap: (23702) {G0,W6,D2,L2,V2,M2}  { ! Y = X, ! greater( X, Y ) }.
% 3.76/4.13  parent0[0]: (50) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23703) {G1,W7,D3,L1,V2,M1}  { ! greater( vmul( Y, X ), vmul( X
% 3.76/4.13    , Y ) ) }.
% 3.76/4.13  parent0[0]: (23702) {G0,W6,D2,L2,V2,M2}  { ! Y = X, ! greater( X, Y ) }.
% 3.76/4.13  parent1[0]: (14) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := vmul( Y, X )
% 3.76/4.13     Y := vmul( X, Y )
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (406) {G1,W7,D3,L1,V2,M1} R(14,50) { ! greater( vmul( X, Y ), 
% 3.76/4.13    vmul( Y, X ) ) }.
% 3.76/4.13  parent0: (23703) {G1,W7,D3,L1,V2,M1}  { ! greater( vmul( Y, X ), vmul( X, Y
% 3.76/4.13     ) ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := Y
% 3.76/4.13     Y := X
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23704) {G1,W6,D2,L2,V2,M2}  { ! geq( Y, X ), ! greater( X, Y )
% 3.76/4.13     }.
% 3.76/4.13  parent0[0]: (406) {G1,W7,D3,L1,V2,M1} R(14,50) { ! greater( vmul( X, Y ), 
% 3.76/4.13    vmul( Y, X ) ) }.
% 3.76/4.13  parent1[2]: (4) {G0,W13,D3,L3,V4,M3} I { ! geq( Z, T ), ! greater( X, Y ), 
% 3.76/4.13    greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13     Z := Y
% 3.76/4.13     T := X
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (727) {G2,W6,D2,L2,V2,M2} R(406,4) { ! geq( X, Y ), ! greater
% 3.76/4.13    ( Y, X ) }.
% 3.76/4.13  parent0: (23704) {G1,W6,D2,L2,V2,M2}  { ! geq( Y, X ), ! greater( X, Y )
% 3.76/4.13     }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := Y
% 3.76/4.13     Y := X
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13     1 ==> 1
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23705) {G1,W3,D2,L1,V0,M1}  { ! greater( vd530, vd529 ) }.
% 3.76/4.13  parent0[0]: (727) {G2,W6,D2,L2,V2,M2} R(406,4) { ! geq( X, Y ), ! greater( 
% 3.76/4.13    Y, X ) }.
% 3.76/4.13  parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { geq( vd529, vd530 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := vd529
% 3.76/4.13     Y := vd530
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (755) {G3,W3,D2,L1,V0,M1} R(727,1) { ! greater( vd530, vd529 )
% 3.76/4.13     }.
% 3.76/4.13  parent0: (23705) {G1,W3,D2,L1,V0,M1}  { ! greater( vd530, vd529 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23706) {G1,W3,D2,L1,V0,M1}  { ! greater( vd527, vd526 ) }.
% 3.76/4.13  parent0[0]: (727) {G2,W6,D2,L2,V2,M2} R(406,4) { ! geq( X, Y ), ! greater( 
% 3.76/4.13    Y, X ) }.
% 3.76/4.13  parent1[0]: (2) {G0,W3,D2,L1,V0,M1} I { geq( vd526, vd527 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := vd526
% 3.76/4.13     Y := vd527
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (756) {G3,W3,D2,L1,V0,M1} R(727,2) { ! greater( vd527, vd526 )
% 3.76/4.13     }.
% 3.76/4.13  parent0: (23706) {G1,W3,D2,L1,V0,M1}  { ! greater( vd527, vd526 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23707) {G1,W3,D2,L1,V0,M1}  { ! less( vd529, vd530 ) }.
% 3.76/4.13  parent0[0]: (755) {G3,W3,D2,L1,V0,M1} R(727,1) { ! greater( vd530, vd529 )
% 3.76/4.13     }.
% 3.76/4.13  parent1[1]: (45) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.76/4.13     }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := vd529
% 3.76/4.13     Y := vd530
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (818) {G4,W3,D2,L1,V0,M1} R(755,45) { ! less( vd529, vd530 )
% 3.76/4.13     }.
% 3.76/4.13  parent0: (23707) {G1,W3,D2,L1,V0,M1}  { ! less( vd529, vd530 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23708) {G1,W3,D2,L1,V0,M1}  { ! less( vd526, vd527 ) }.
% 3.76/4.13  parent0[0]: (756) {G3,W3,D2,L1,V0,M1} R(727,2) { ! greater( vd527, vd526 )
% 3.76/4.13     }.
% 3.76/4.13  parent1[1]: (45) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.76/4.13     }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := vd526
% 3.76/4.13     Y := vd527
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (879) {G4,W3,D2,L1,V0,M1} R(756,45) { ! less( vd526, vd527 )
% 3.76/4.13     }.
% 3.76/4.13  parent0: (23708) {G1,W3,D2,L1,V0,M1}  { ! less( vd526, vd527 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23709) {G1,W6,D2,L2,V0,M2}  { ! geq( vd529, vd530 ), ! greater
% 3.76/4.13    ( vd526, vd527 ) }.
% 3.76/4.13  parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul( 
% 3.76/4.13    vd527, vd530 ) ) }.
% 3.76/4.13  parent1[0]: (184) {G1,W13,D3,L3,V4,M3} R(43,4) { geq( vmul( X, Y ), vmul( Z
% 3.76/4.13    , T ) ), ! geq( Y, T ), ! greater( X, Z ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := vd526
% 3.76/4.13     Y := vd529
% 3.76/4.13     Z := vd527
% 3.76/4.13     T := vd530
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23710) {G1,W3,D2,L1,V0,M1}  { ! greater( vd526, vd527 ) }.
% 3.76/4.13  parent0[0]: (23709) {G1,W6,D2,L2,V0,M2}  { ! geq( vd529, vd530 ), ! greater
% 3.76/4.13    ( vd526, vd527 ) }.
% 3.76/4.13  parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { geq( vd529, vd530 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (23385) {G2,W3,D2,L1,V0,M1} R(184,0);r(1) { ! greater( vd526, 
% 3.76/4.13    vd527 ) }.
% 3.76/4.13  parent0: (23710) {G1,W3,D2,L1,V0,M1}  { ! greater( vd526, vd527 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  eqswap: (23711) {G0,W9,D2,L3,V2,M3}  { Y = X, greater( X, Y ), less( X, Y )
% 3.76/4.13     }.
% 3.76/4.13  parent0[0]: (47) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y
% 3.76/4.13     ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23712) {G1,W6,D2,L2,V0,M2}  { vd527 = vd526, less( vd526, 
% 3.76/4.13    vd527 ) }.
% 3.76/4.13  parent0[0]: (23385) {G2,W3,D2,L1,V0,M1} R(184,0);r(1) { ! greater( vd526, 
% 3.76/4.13    vd527 ) }.
% 3.76/4.13  parent1[1]: (23711) {G0,W9,D2,L3,V2,M3}  { Y = X, greater( X, Y ), less( X
% 3.76/4.13    , Y ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := vd526
% 3.76/4.13     Y := vd527
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23713) {G2,W3,D2,L1,V0,M1}  { vd527 = vd526 }.
% 3.76/4.13  parent0[0]: (879) {G4,W3,D2,L1,V0,M1} R(756,45) { ! less( vd526, vd527 )
% 3.76/4.13     }.
% 3.76/4.13  parent1[1]: (23712) {G1,W6,D2,L2,V0,M2}  { vd527 = vd526, less( vd526, 
% 3.76/4.13    vd527 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (23393) {G5,W3,D2,L1,V0,M1} R(23385,47);r(879) { vd527 ==> 
% 3.76/4.13    vd526 }.
% 3.76/4.13  parent0: (23713) {G2,W3,D2,L1,V0,M1}  { vd527 = vd526 }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23716) {G1,W6,D2,L2,V0,M2}  { ! greater( vd529, vd530 ), ! geq
% 3.76/4.13    ( vd526, vd527 ) }.
% 3.76/4.13  parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul( 
% 3.76/4.13    vd527, vd530 ) ) }.
% 3.76/4.13  parent1[0]: (186) {G1,W13,D3,L3,V4,M3} R(43,3) { geq( vmul( X, Y ), vmul( Z
% 3.76/4.13    , T ) ), ! greater( Y, T ), ! geq( X, Z ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := vd526
% 3.76/4.13     Y := vd529
% 3.76/4.13     Z := vd527
% 3.76/4.13     T := vd530
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  paramod: (23717) {G2,W6,D2,L2,V0,M2}  { ! geq( vd526, vd526 ), ! greater( 
% 3.76/4.13    vd529, vd530 ) }.
% 3.76/4.13  parent0[0]: (23393) {G5,W3,D2,L1,V0,M1} R(23385,47);r(879) { vd527 ==> 
% 3.76/4.13    vd526 }.
% 3.76/4.13  parent1[1; 3]: (23716) {G1,W6,D2,L2,V0,M2}  { ! greater( vd529, vd530 ), ! 
% 3.76/4.13    geq( vd526, vd527 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23718) {G2,W3,D2,L1,V0,M1}  { ! greater( vd529, vd530 ) }.
% 3.76/4.13  parent0[0]: (23717) {G2,W6,D2,L2,V0,M2}  { ! geq( vd526, vd526 ), ! greater
% 3.76/4.13    ( vd529, vd530 ) }.
% 3.76/4.13  parent1[0]: (74) {G1,W3,D2,L1,V1,M1} Q(44) { geq( X, X ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := vd526
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (23505) {G6,W3,D2,L1,V0,M1} R(186,0);d(23393);r(74) { ! 
% 3.76/4.13    greater( vd529, vd530 ) }.
% 3.76/4.13  parent0: (23718) {G2,W3,D2,L1,V0,M1}  { ! greater( vd529, vd530 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  eqswap: (23719) {G0,W9,D2,L3,V2,M3}  { Y = X, greater( X, Y ), less( X, Y )
% 3.76/4.13     }.
% 3.76/4.13  parent0[0]: (47) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y
% 3.76/4.13     ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13     X := X
% 3.76/4.13     Y := Y
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23720) {G1,W6,D2,L2,V0,M2}  { vd530 = vd529, less( vd529, 
% 3.76/4.13    vd530 ) }.
% 3.76/4.13  parent0[0]: (23505) {G6,W3,D2,L1,V0,M1} R(186,0);d(23393);r(74) { ! greater
% 3.76/4.13    ( vd529, vd530 ) }.
% 3.76/4.13  parent1[1]: (23719) {G0,W9,D2,L3,V2,M3}  { Y = X, greater( X, Y ), less( X
% 3.76/4.13    , Y ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13     X := vd529
% 3.76/4.13     Y := vd530
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  resolution: (23721) {G2,W3,D2,L1,V0,M1}  { vd530 = vd529 }.
% 3.76/4.13  parent0[0]: (818) {G4,W3,D2,L1,V0,M1} R(755,45) { ! less( vd529, vd530 )
% 3.76/4.13     }.
% 3.76/4.13  parent1[1]: (23720) {G1,W6,D2,L2,V0,M2}  { vd530 = vd529, less( vd529, 
% 3.76/4.13    vd530 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (23511) {G7,W3,D2,L1,V0,M1} R(23505,47);r(818) { vd530 ==> 
% 3.76/4.13    vd529 }.
% 3.76/4.13  parent0: (23721) {G2,W3,D2,L1,V0,M1}  { vd530 = vd529 }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13     0 ==> 0
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  eqswap: (23724) {G1,W7,D3,L1,V0,M1}  { ! vmul( vd526, vd529 ) ==> vmul( 
% 3.76/4.13    vd527, vd530 ) }.
% 3.76/4.13  parent0[0]: (142) {G1,W7,D3,L1,V0,M1} R(44,0) { ! vmul( vd527, vd530 ) ==> 
% 3.76/4.13    vmul( vd526, vd529 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  paramod: (23726) {G2,W7,D3,L1,V0,M1}  { ! vmul( vd526, vd529 ) ==> vmul( 
% 3.76/4.13    vd527, vd529 ) }.
% 3.76/4.13  parent0[0]: (23511) {G7,W3,D2,L1,V0,M1} R(23505,47);r(818) { vd530 ==> 
% 3.76/4.13    vd529 }.
% 3.76/4.13  parent1[0; 7]: (23724) {G1,W7,D3,L1,V0,M1}  { ! vmul( vd526, vd529 ) ==> 
% 3.76/4.13    vmul( vd527, vd530 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  paramod: (23727) {G3,W7,D3,L1,V0,M1}  { ! vmul( vd526, vd529 ) ==> vmul( 
% 3.76/4.13    vd526, vd529 ) }.
% 3.76/4.13  parent0[0]: (23393) {G5,W3,D2,L1,V0,M1} R(23385,47);r(879) { vd527 ==> 
% 3.76/4.13    vd526 }.
% 3.76/4.13  parent1[0; 6]: (23726) {G2,W7,D3,L1,V0,M1}  { ! vmul( vd526, vd529 ) ==> 
% 3.76/4.13    vmul( vd527, vd529 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  substitution1:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  eqrefl: (23728) {G0,W0,D0,L0,V0,M0}  {  }.
% 3.76/4.13  parent0[0]: (23727) {G3,W7,D3,L1,V0,M1}  { ! vmul( vd526, vd529 ) ==> vmul
% 3.76/4.13    ( vd526, vd529 ) }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  subsumption: (23518) {G8,W0,D0,L0,V0,M0} P(23511,142);d(23393);q {  }.
% 3.76/4.13  parent0: (23728) {G0,W0,D0,L0,V0,M0}  {  }.
% 3.76/4.13  substitution0:
% 3.76/4.13  end
% 3.76/4.13  permutation0:
% 3.76/4.13  end
% 3.76/4.13  
% 3.76/4.13  Proof check complete!
% 3.76/4.13  
% 3.76/4.13  Memory use:
% 3.76/4.13  
% 3.76/4.13  space for terms:        297055
% 3.76/4.13  space for clauses:      1046600
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  clauses generated:      89159
% 3.76/4.13  clauses kept:           23519
% 3.76/4.13  clauses selected:       732
% 3.76/4.13  clauses deleted:        3015
% 3.76/4.13  clauses inuse deleted:  52
% 3.76/4.13  
% 3.76/4.13  subsentry:          699987
% 3.76/4.13  literals s-matched: 524479
% 3.76/4.13  literals matched:   516111
% 3.76/4.13  full subsumption:   256570
% 3.76/4.13  
% 3.76/4.13  checksum:           -705447357
% 3.76/4.13  
% 3.76/4.13  
% 3.76/4.13  Bliksem ended
%------------------------------------------------------------------------------