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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : BOO016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.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 : Thu Jul 14 23:30:40 EDT 2022

% Result   : Unsatisfiable 22.84s 23.28s
% Output   : Refutation 22.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n023.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 Jun  1 22:45:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 16.79/17.21  *** allocated 10000 integers for termspace/termends
% 16.79/17.21  *** allocated 10000 integers for clauses
% 16.79/17.21  *** allocated 10000 integers for justifications
% 16.79/17.21  Bliksem 1.12
% 16.79/17.21  
% 16.79/17.21  
% 16.79/17.21  Automatic Strategy Selection
% 16.79/17.21  
% 16.79/17.21  Clauses:
% 16.79/17.21  [
% 16.79/17.21     [ sum( X, Y, add( X, Y ) ) ],
% 16.79/17.21     [ product( X, Y, multiply( X, Y ) ) ],
% 16.79/17.21     [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 16.79/17.21     [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 16.79/17.21     [ sum( 'additive_identity', X, X ) ],
% 16.79/17.21     [ sum( X, 'additive_identity', X ) ],
% 16.79/17.21     [ product( 'multiplicative_identity', X, X ) ],
% 16.79/17.21     [ product( X, 'multiplicative_identity', X ) ],
% 16.79/17.21     [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 16.79/17.21    , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 16.79/17.21     [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 16.79/17.21    , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 16.79/17.21     [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 16.79/17.21    , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 16.79/17.21     [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 16.79/17.21    , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 16.79/17.21     [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~( 
% 16.79/17.21    sum( X, W, V0 ) ), product( Z, U, V0 ) ],
% 16.79/17.21     [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~( 
% 16.79/17.21    product( Z, U, V0 ) ), sum( X, W, V0 ) ],
% 16.79/17.21     [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~( 
% 16.79/17.21    sum( W, Y, V0 ) ), product( Z, U, V0 ) ],
% 16.79/17.21     [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~( 
% 16.79/17.21    product( Z, U, V0 ) ), sum( W, Y, V0 ) ],
% 16.79/17.21     [ sum( inverse( X ), X, 'multiplicative_identity' ) ],
% 16.79/17.21     [ sum( X, inverse( X ), 'multiplicative_identity' ) ],
% 16.79/17.21     [ product( inverse( X ), X, 'additive_identity' ) ],
% 16.79/17.21     [ product( X, inverse( X ), 'additive_identity' ) ],
% 16.79/17.21     [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 16.79/17.21     [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 16.79/17.21     [ product( x, y, z ) ],
% 16.79/17.21     [ ~( sum( x, z, x ) ) ]
% 16.79/17.21  ] .
% 16.79/17.21  
% 16.79/17.21  
% 16.79/17.21  percentage equality = 0.032258, percentage horn = 1.000000
% 16.79/17.21  This is a problem with some equality
% 16.79/17.21  
% 16.79/17.21  
% 16.79/17.21  
% 16.79/17.21  Options Used:
% 16.79/17.21  
% 16.79/17.21  useres =            1
% 16.79/17.21  useparamod =        1
% 16.79/17.21  useeqrefl =         1
% 16.79/17.21  useeqfact =         1
% 16.79/17.21  usefactor =         1
% 16.79/17.21  usesimpsplitting =  0
% 16.79/17.21  usesimpdemod =      5
% 16.79/17.21  usesimpres =        3
% 16.79/17.21  
% 16.79/17.21  resimpinuse      =  1000
% 16.79/17.21  resimpclauses =     20000
% 16.79/17.21  substype =          eqrewr
% 16.79/17.21  backwardsubs =      1
% 16.79/17.21  selectoldest =      5
% 16.79/17.21  
% 16.79/17.21  litorderings [0] =  split
% 16.79/17.21  litorderings [1] =  extend the termordering, first sorting on arguments
% 16.79/17.21  
% 16.79/17.21  termordering =      kbo
% 16.79/17.21  
% 16.79/17.21  litapriori =        0
% 16.79/17.21  termapriori =       1
% 16.79/17.21  litaposteriori =    0
% 16.79/17.21  termaposteriori =   0
% 16.79/17.21  demodaposteriori =  0
% 16.79/17.21  ordereqreflfact =   0
% 16.79/17.21  
% 16.79/17.21  litselect =         negord
% 16.79/17.21  
% 16.79/17.21  maxweight =         15
% 16.79/17.21  maxdepth =          30000
% 16.79/17.21  maxlength =         115
% 16.79/17.21  maxnrvars =         195
% 16.79/17.21  excuselevel =       1
% 16.79/17.21  increasemaxweight = 1
% 16.79/17.21  
% 16.79/17.21  maxselected =       10000000
% 16.79/17.21  maxnrclauses =      10000000
% 16.79/17.21  
% 16.79/17.21  showgenerated =    0
% 16.79/17.21  showkept =         0
% 16.79/17.21  showselected =     0
% 16.79/17.21  showdeleted =      0
% 16.79/17.21  showresimp =       1
% 16.79/17.21  showstatus =       2000
% 16.79/17.21  
% 16.79/17.21  prologoutput =     1
% 16.79/17.21  nrgoals =          5000000
% 16.79/17.21  totalproof =       1
% 16.79/17.21  
% 16.79/17.21  Symbols occurring in the translation:
% 16.79/17.21  
% 16.79/17.21  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 16.79/17.21  .  [1, 2]      (w:1, o:29, a:1, s:1, b:0), 
% 16.79/17.21  !  [4, 1]      (w:0, o:23, a:1, s:1, b:0), 
% 16.79/17.21  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 16.79/17.21  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 16.79/17.21  add  [41, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 16.79/17.21  sum  [42, 3]      (w:1, o:56, a:1, s:1, b:0), 
% 16.79/17.21  multiply  [43, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 16.79/17.21  product  [44, 3]      (w:1, o:57, a:1, s:1, b:0), 
% 16.79/17.21  'additive_identity'  [46, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 16.79/17.21  'multiplicative_identity'  [47, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 16.79/17.21  inverse  [52, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 16.79/17.21  x  [55, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 16.79/17.21  y  [56, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 16.79/17.21  z  [57, 0]      (w:1, o:22, a:1, s:1, b:0).
% 16.79/17.21  
% 16.79/17.21  
% 16.79/17.21  Starting Search:
% 16.79/17.21  
% 16.79/17.21  Resimplifying inuse:
% 16.79/17.21  Done
% 16.79/17.21  
% 16.79/17.21  
% 16.79/17.21  Intermediate Status:
% 16.79/17.21  Generated:    6355
% 16.79/17.21  Kept:         2022
% 16.79/17.21  Inuse:        84
% 16.79/17.21  Deleted:      0
% 16.79/17.21  Deletedinuse: 0
% 16.79/17.21  
% 16.79/17.21  Resimplifying inuse:
% 16.79/17.21  Done
% 16.79/17.21  
% 16.79/17.21  Resimplifying inuse:
% 16.79/17.21  Done
% 16.79/17.21  
% 16.79/17.21  
% 16.79/17.21  Intermediate Status:
% 16.79/17.21  Generated:    17534
% 16.79/17.21  Kept:         4038
% 16.79/17.21  Inuse:        170
% 22.84/23.28  Deleted:      1
% 22.84/23.28  Deletedinuse: 1
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    25772
% 22.84/23.28  Kept:         6201
% 22.84/23.28  Inuse:        215
% 22.84/23.28  Deleted:      3
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    31634
% 22.84/23.28  Kept:         8206
% 22.84/23.28  Inuse:        245
% 22.84/23.28  Deleted:      3
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    39895
% 22.84/23.28  Kept:         10206
% 22.84/23.28  Inuse:        292
% 22.84/23.28  Deleted:      3
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    49341
% 22.84/23.28  Kept:         12217
% 22.84/23.28  Inuse:        342
% 22.84/23.28  Deleted:      3
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    62678
% 22.84/23.28  Kept:         14271
% 22.84/23.28  Inuse:        378
% 22.84/23.28  Deleted:      3
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    70344
% 22.84/23.28  Kept:         16395
% 22.84/23.28  Inuse:        410
% 22.84/23.28  Deleted:      3
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    80753
% 22.84/23.28  Kept:         18470
% 22.84/23.28  Inuse:        447
% 22.84/23.28  Deleted:      5
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying clauses:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    89367
% 22.84/23.28  Kept:         20480
% 22.84/23.28  Inuse:        483
% 22.84/23.28  Deleted:      726
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    97889
% 22.84/23.28  Kept:         22521
% 22.84/23.28  Inuse:        515
% 22.84/23.28  Deleted:      726
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    110092
% 22.84/23.28  Kept:         24573
% 22.84/23.28  Inuse:        564
% 22.84/23.28  Deleted:      726
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    125644
% 22.84/23.28  Kept:         27019
% 22.84/23.28  Inuse:        597
% 22.84/23.28  Deleted:      726
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    140308
% 22.84/23.28  Kept:         29031
% 22.84/23.28  Inuse:        641
% 22.84/23.28  Deleted:      726
% 22.84/23.28  Deletedinuse: 2
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    155407
% 22.84/23.28  Kept:         31104
% 22.84/23.28  Inuse:        690
% 22.84/23.28  Deleted:      728
% 22.84/23.28  Deletedinuse: 4
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    164421
% 22.84/23.28  Kept:         33190
% 22.84/23.28  Inuse:        718
% 22.84/23.28  Deleted:      730
% 22.84/23.28  Deletedinuse: 6
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    172873
% 22.84/23.28  Kept:         35229
% 22.84/23.28  Inuse:        744
% 22.84/23.28  Deleted:      731
% 22.84/23.28  Deletedinuse: 7
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    180222
% 22.84/23.28  Kept:         37235
% 22.84/23.28  Inuse:        774
% 22.84/23.28  Deleted:      774
% 22.84/23.28  Deletedinuse: 50
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    187734
% 22.84/23.28  Kept:         39236
% 22.84/23.28  Inuse:        805
% 22.84/23.28  Deleted:      807
% 22.84/23.28  Deletedinuse: 83
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying clauses:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    194067
% 22.84/23.28  Kept:         41239
% 22.84/23.28  Inuse:        833
% 22.84/23.28  Deleted:      12461
% 22.84/23.28  Deletedinuse: 214
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    201052
% 22.84/23.28  Kept:         43308
% 22.84/23.28  Inuse:        865
% 22.84/23.28  Deleted:      12494
% 22.84/23.28  Deletedinuse: 245
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    209678
% 22.84/23.28  Kept:         45466
% 22.84/23.28  Inuse:        885
% 22.84/23.28  Deleted:      12502
% 22.84/23.28  Deletedinuse: 253
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    217122
% 22.84/23.28  Kept:         47566
% 22.84/23.28  Inuse:        902
% 22.84/23.28  Deleted:      12579
% 22.84/23.28  Deletedinuse: 323
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    226094
% 22.84/23.28  Kept:         49815
% 22.84/23.28  Inuse:        908
% 22.84/23.28  Deleted:      12579
% 22.84/23.28  Deletedinuse: 323
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    237074
% 22.84/23.28  Kept:         51863
% 22.84/23.28  Inuse:        925
% 22.84/23.28  Deleted:      12579
% 22.84/23.28  Deletedinuse: 323
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    243175
% 22.84/23.28  Kept:         54375
% 22.84/23.28  Inuse:        934
% 22.84/23.28  Deleted:      12585
% 22.84/23.28  Deletedinuse: 329
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    252028
% 22.84/23.28  Kept:         56520
% 22.84/23.28  Inuse:        948
% 22.84/23.28  Deleted:      12589
% 22.84/23.28  Deletedinuse: 332
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    257825
% 22.84/23.28  Kept:         58530
% 22.84/23.28  Inuse:        964
% 22.84/23.28  Deleted:      12593
% 22.84/23.28  Deletedinuse: 334
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  Resimplifying clauses:
% 22.84/23.28  Done
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  Intermediate Status:
% 22.84/23.28  Generated:    270918
% 22.84/23.28  Kept:         60595
% 22.84/23.28  Inuse:        984
% 22.84/23.28  Deleted:      22680
% 22.84/23.28  Deletedinuse: 335
% 22.84/23.28  
% 22.84/23.28  Resimplifying inuse:
% 22.84/23.28  
% 22.84/23.28  Bliksems!, er is een bewijs:
% 22.84/23.28  % SZS status Unsatisfiable
% 22.84/23.28  % SZS output start Refutation
% 22.84/23.28  
% 22.84/23.28  clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 6, [ product( 'multiplicative_identity', X, X ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 7, [ product( X, 'multiplicative_identity', X ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 22.84/23.28    , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 22.84/23.28     ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 22.84/23.28     )
% 22.84/23.28  .
% 22.84/23.28  clause( 22, [ product( x, y, z ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 23, [ ~( sum( x, z, x ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 47, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 22.84/23.28     ) ), product( Z, U, U ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 52, [ product( X, Y, multiply( Y, X ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 54, [ sum( X, Y, add( Y, X ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 63, [ ~( product( 'multiplicative_identity', X, Y ) ), =( X, Y ) ]
% 22.84/23.28     )
% 22.84/23.28  .
% 22.84/23.28  clause( 92, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 98, [ sum( Y, X, Z ), ~( product( 'multiplicative_identity', Z, add( 
% 22.84/23.28    X, Y ) ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 104, [ product( Y, X, Z ), ~( product( 'multiplicative_identity', Z
% 22.84/23.28    , multiply( X, Y ) ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 168, [ ~( product( x, X, Y ) ), ~( sum( X, y, Z ) ), ~( product( x
% 22.84/23.28    , Z, T ) ), sum( Y, z, T ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 172, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X, Z
% 22.84/23.28    , T ) ), ~( product( X, Z, U ) ), sum( Y, T, U ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 190, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X, Z
% 22.84/23.28    , T ) ), sum( Y, T, T ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 194, [ ~( product( x, X, Y ) ), ~( sum( X, y, X ) ), sum( Y, z, Y )
% 22.84/23.28     ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 1120, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 4306, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity', 
% 22.84/23.28    'additive_identity' ) ), product( Z, Y, Y ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 16391, [ product( X, 'multiplicative_identity', Y ), ~( product( 
% 22.84/23.28    'multiplicative_identity', Y, X ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 16461, [ product( X, 'multiplicative_identity', Y ), ~( product( Y
% 22.84/23.28    , 'multiplicative_identity', X ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 16535, [ ~( product( X, 'multiplicative_identity', Y ) ), product( 
% 22.84/23.28    'multiplicative_identity', Y, X ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 38101, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, 
% 22.84/23.28    'additive_identity', 'additive_identity' ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 38538, [ sum( multiply( 'additive_identity', X ), 
% 22.84/23.28    'additive_identity', 'additive_identity' ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 39350, [ ~( sum( 'multiplicative_identity', y, 
% 22.84/23.28    'multiplicative_identity' ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 39362, [ ~( product( 'multiplicative_identity', 
% 22.84/23.28    'multiplicative_identity', add( y, 'multiplicative_identity' ) ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 44220, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 22.84/23.28     ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 44264, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 22.84/23.28     )
% 22.84/23.28  .
% 22.84/23.28  clause( 49819, [ ~( product( add( y, 'multiplicative_identity' ), 
% 22.84/23.28    'multiplicative_identity', 'multiplicative_identity' ) ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 60255, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 60593, [ product( add( X, Y ), Y, Y ) ] )
% 22.84/23.28  .
% 22.84/23.28  clause( 60650, [] )
% 22.84/23.28  .
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  % SZS output end Refutation
% 22.84/23.28  found a proof!
% 22.84/23.28  
% 22.84/23.28  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 22.84/23.28  
% 22.84/23.28  initialclauses(
% 22.84/23.28  [ clause( 60652, [ sum( X, Y, add( X, Y ) ) ] )
% 22.84/23.28  , clause( 60653, [ product( X, Y, multiply( X, Y ) ) ] )
% 22.84/23.28  , clause( 60654, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 22.84/23.28  , clause( 60655, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 22.84/23.28  , clause( 60656, [ sum( 'additive_identity', X, X ) ] )
% 22.84/23.28  , clause( 60657, [ sum( X, 'additive_identity', X ) ] )
% 22.84/23.28  , clause( 60658, [ product( 'multiplicative_identity', X, X ) ] )
% 22.84/23.28  , clause( 60659, [ product( X, 'multiplicative_identity', X ) ] )
% 22.84/23.28  , clause( 60660, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( 
% 22.84/23.28    Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 22.84/23.28  , clause( 60661, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( 
% 22.84/23.28    Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 22.84/23.28  , clause( 60662, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( 
% 22.84/23.28    X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 22.84/23.28  , clause( 60663, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( 
% 22.84/23.28    X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 22.84/23.28  , clause( 60664, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 22.84/23.28    , T, W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 22.84/23.28  , clause( 60665, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 22.84/23.28    , T, W ) ), ~( product( Z, U, V0 ) ), sum( X, W, V0 ) ] )
% 22.84/23.28  , clause( 60666, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 22.84/23.28    , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 22.84/23.28  , clause( 60667, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 22.84/23.28    , T, W ) ), ~( product( Z, U, V0 ) ), sum( W, Y, V0 ) ] )
% 22.84/23.28  , clause( 60668, [ sum( inverse( X ), X, 'multiplicative_identity' ) ] )
% 22.84/23.28  , clause( 60669, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 22.84/23.28  , clause( 60670, [ product( inverse( X ), X, 'additive_identity' ) ] )
% 22.84/23.28  , clause( 60671, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 22.84/23.28  , clause( 60672, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 22.84/23.28  , clause( 60673, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, 
% 22.84/23.28    T ) ] )
% 22.84/23.28  , clause( 60674, [ product( x, y, z ) ] )
% 22.84/23.28  , clause( 60675, [ ~( sum( x, z, x ) ) ] )
% 22.84/23.28  ] ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 22.84/23.28  , clause( 60652, [ sum( X, Y, add( X, Y ) ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 22.84/23.28     )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 22.84/23.28  , clause( 60653, [ product( X, Y, multiply( X, Y ) ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 22.84/23.28     )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 22.84/23.28  , clause( 60654, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 22.84/23.28    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 22.84/23.28  , clause( 60655, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 22.84/23.28    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 22.84/23.28  , clause( 60656, [ sum( 'additive_identity', X, X ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 22.84/23.28  , clause( 60657, [ sum( X, 'additive_identity', X ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 6, [ product( 'multiplicative_identity', X, X ) ] )
% 22.84/23.28  , clause( 60658, [ product( 'multiplicative_identity', X, X ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 7, [ product( X, 'multiplicative_identity', X ) ] )
% 22.84/23.28  , clause( 60659, [ product( X, 'multiplicative_identity', X ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 22.84/23.28    , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 22.84/23.28  , clause( 60660, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( 
% 22.84/23.28    Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 22.84/23.28    , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 22.84/23.28    , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 22.84/23.28     ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 22.84/23.28  , clause( 60666, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 22.84/23.28    , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 22.84/23.28    , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 22.84/23.28    , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 22.84/23.28  , clause( 60671, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 22.84/23.28  , clause( 60672, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 22.84/23.28    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 22.84/23.28     )
% 22.84/23.28  , clause( 60673, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, 
% 22.84/23.28    T ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 22.84/23.28    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 22, [ product( x, y, z ) ] )
% 22.84/23.28  , clause( 60674, [ product( x, y, z ) ] )
% 22.84/23.28  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 23, [ ~( sum( x, z, x ) ) ] )
% 22.84/23.28  , clause( 60675, [ ~( sum( x, z, x ) ) ] )
% 22.84/23.28  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  factor(
% 22.84/23.28  clause( 60854, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 22.84/23.28    , T ) ), product( Z, U, U ) ] )
% 22.84/23.28  , clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 22.84/23.28    , W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 22.84/23.28  , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), 
% 22.84/23.28    :=( U, U ), :=( W, T ), :=( V0, U )] )).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 47, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 22.84/23.28     ) ), product( Z, U, U ) ] )
% 22.84/23.28  , clause( 60854, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 22.84/23.28    , T, T ) ), product( Z, U, U ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 22.84/23.28    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 22.84/23.28    , 3 )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  resolution(
% 22.84/23.28  clause( 60856, [ product( Y, X, multiply( X, Y ) ) ] )
% 22.84/23.28  , clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 22.84/23.28  , 0, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 22.84/23.28  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )
% 22.84/23.28    , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 52, [ product( X, Y, multiply( Y, X ) ) ] )
% 22.84/23.28  , clause( 60856, [ product( Y, X, multiply( X, Y ) ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 22.84/23.28     )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  resolution(
% 22.84/23.28  clause( 60857, [ sum( Y, X, add( X, Y ) ) ] )
% 22.84/23.28  , clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 22.84/23.28  , 0, clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 22.84/23.28  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( X, Y ) )] ), 
% 22.84/23.28    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  subsumption(
% 22.84/23.28  clause( 54, [ sum( X, Y, add( Y, X ) ) ] )
% 22.84/23.28  , clause( 60857, [ sum( Y, X, add( X, Y ) ) ] )
% 22.84/23.28  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 22.84/23.28     )] ) ).
% 22.84/23.28  
% 22.84/23.28  
% 22.84/23.28  resolution(
% 22.84/23.28  clause( 60858, [ ~( product( 'multiplicative_identity', X, Y ) ), =( X, Y )
% 22.84/23.28     ] )
% 22.84/23.28  , clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 22.84/23.28     ] )
% 22.84/23.28  , 0, clause( 6, [ product( 'multiplicative_identity', X, X ) ] )
% 22.84/23.28  , 0, substitution( 0, [ :=( X, 'multiplicative_identity' ), :=( Y, X ), 
% 22.84/23.28    :=(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------