TSTP Solution File: HEN007-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : HEN007-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n014.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 : Sat Jul 16 12:47:06 EDT 2022

% Result   : Unsatisfiable 12.08s 12.51s
% Output   : Refutation 12.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HEN007-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Fri Jul  1 13:26:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 12.08/12.50  *** allocated 10000 integers for termspace/termends
% 12.08/12.50  *** allocated 10000 integers for clauses
% 12.08/12.50  *** allocated 10000 integers for justifications
% 12.08/12.50  Bliksem 1.12
% 12.08/12.50  
% 12.08/12.50  
% 12.08/12.50  Automatic Strategy Selection
% 12.08/12.50  
% 12.08/12.50  Clauses:
% 12.08/12.50  [
% 12.08/12.50     [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ],
% 12.08/12.50     [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ],
% 12.08/12.50     [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ],
% 12.08/12.50     [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~( quotient( X, T
% 12.08/12.50    , W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 ) ), 
% 12.08/12.50    'less_equal'( V0, V1 ) ],
% 12.08/12.50     [ 'less_equal'( zero, X ) ],
% 12.08/12.50     [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 12.08/12.50     [ 'less_equal'( X, identity ) ],
% 12.08/12.50     [ quotient( X, Y, divide( X, Y ) ) ],
% 12.08/12.50     [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T ) ],
% 12.08/12.50     [ quotient( X, identity, zero ) ],
% 12.08/12.50     [ quotient( zero, X, zero ) ],
% 12.08/12.50     [ quotient( X, X, zero ) ],
% 12.08/12.50     [ quotient( X, zero, X ) ],
% 12.08/12.50     [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 12.08/12.50    , Z ) ],
% 12.08/12.50     [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~( quotient( X, T
% 12.08/12.50    , U ) ), 'less_equal'( U, Y ) ],
% 12.08/12.50     [ 'less_equal'( x, y ) ],
% 12.08/12.50     [ quotient( z, y, zQy ) ],
% 12.08/12.50     [ quotient( z, x, zQx ) ],
% 12.08/12.50     [ ~( 'less_equal'( zQy, zQx ) ) ]
% 12.08/12.50  ] .
% 12.08/12.50  
% 12.08/12.50  
% 12.08/12.50  percentage equality = 0.055556, percentage horn = 1.000000
% 12.08/12.50  This is a problem with some equality
% 12.08/12.50  
% 12.08/12.50  
% 12.08/12.50  
% 12.08/12.50  Options Used:
% 12.08/12.50  
% 12.08/12.50  useres =            1
% 12.08/12.50  useparamod =        1
% 12.08/12.50  useeqrefl =         1
% 12.08/12.50  useeqfact =         1
% 12.08/12.50  usefactor =         1
% 12.08/12.50  usesimpsplitting =  0
% 12.08/12.50  usesimpdemod =      5
% 12.08/12.50  usesimpres =        3
% 12.08/12.50  
% 12.08/12.50  resimpinuse      =  1000
% 12.08/12.50  resimpclauses =     20000
% 12.08/12.50  substype =          eqrewr
% 12.08/12.50  backwardsubs =      1
% 12.08/12.50  selectoldest =      5
% 12.08/12.50  
% 12.08/12.50  litorderings [0] =  split
% 12.08/12.50  litorderings [1] =  extend the termordering, first sorting on arguments
% 12.08/12.50  
% 12.08/12.50  termordering =      kbo
% 12.08/12.50  
% 12.08/12.50  litapriori =        0
% 12.08/12.50  termapriori =       1
% 12.08/12.50  litaposteriori =    0
% 12.08/12.50  termaposteriori =   0
% 12.08/12.50  demodaposteriori =  0
% 12.08/12.50  ordereqreflfact =   0
% 12.08/12.50  
% 12.08/12.50  litselect =         negord
% 12.08/12.50  
% 12.08/12.50  maxweight =         15
% 12.08/12.50  maxdepth =          30000
% 12.08/12.50  maxlength =         115
% 12.08/12.50  maxnrvars =         195
% 12.08/12.50  excuselevel =       1
% 12.08/12.51  increasemaxweight = 1
% 12.08/12.51  
% 12.08/12.51  maxselected =       10000000
% 12.08/12.51  maxnrclauses =      10000000
% 12.08/12.51  
% 12.08/12.51  showgenerated =    0
% 12.08/12.51  showkept =         0
% 12.08/12.51  showselected =     0
% 12.08/12.51  showdeleted =      0
% 12.08/12.51  showresimp =       1
% 12.08/12.51  showstatus =       2000
% 12.08/12.51  
% 12.08/12.51  prologoutput =     1
% 12.08/12.51  nrgoals =          5000000
% 12.08/12.51  totalproof =       1
% 12.08/12.51  
% 12.08/12.51  Symbols occurring in the translation:
% 12.08/12.51  
% 12.08/12.51  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 12.08/12.51  .  [1, 2]      (w:1, o:32, a:1, s:1, b:0), 
% 12.08/12.51  !  [4, 1]      (w:0, o:27, a:1, s:1, b:0), 
% 12.08/12.51  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 12.08/12.51  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 12.08/12.51  'less_equal'  [41, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 12.08/12.51  zero  [42, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 12.08/12.51  quotient  [43, 3]      (w:1, o:59, a:1, s:1, b:0), 
% 12.08/12.51  identity  [50, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 12.08/12.51  divide  [51, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 12.08/12.51  x  [55, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 12.08/12.51  y  [56, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 12.08/12.51  z  [57, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 12.08/12.51  zQy  [58, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 12.08/12.51  zQx  [59, 0]      (w:1, o:25, a:1, s:1, b:0).
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Starting Search:
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    10515
% 12.08/12.51  Kept:         2006
% 12.08/12.51  Inuse:        177
% 12.08/12.51  Deleted:      27
% 12.08/12.51  Deletedinuse: 7
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    27312
% 12.08/12.51  Kept:         4056
% 12.08/12.51  Inuse:        301
% 12.08/12.51  Deleted:      76
% 12.08/12.51  Deletedinuse: 31
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    38513
% 12.08/12.51  Kept:         6066
% 12.08/12.51  Inuse:        392
% 12.08/12.51  Deleted:      121
% 12.08/12.51  Deletedinuse: 52
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    52333
% 12.08/12.51  Kept:         8072
% 12.08/12.51  Inuse:        495
% 12.08/12.51  Deleted:      232
% 12.08/12.51  Deletedinuse: 59
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    67854
% 12.08/12.51  Kept:         10091
% 12.08/12.51  Inuse:        560
% 12.08/12.51  Deleted:      338
% 12.08/12.51  Deletedinuse: 69
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    76192
% 12.08/12.51  Kept:         12119
% 12.08/12.51  Inuse:        589
% 12.08/12.51  Deleted:      355
% 12.08/12.51  Deletedinuse: 69
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    93955
% 12.08/12.51  Kept:         14185
% 12.08/12.51  Inuse:        647
% 12.08/12.51  Deleted:      390
% 12.08/12.51  Deletedinuse: 69
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    114909
% 12.08/12.51  Kept:         16412
% 12.08/12.51  Inuse:        694
% 12.08/12.51  Deleted:      420
% 12.08/12.51  Deletedinuse: 88
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    120785
% 12.08/12.51  Kept:         18425
% 12.08/12.51  Inuse:        707
% 12.08/12.51  Deleted:      436
% 12.08/12.51  Deletedinuse: 104
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying clauses:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    140729
% 12.08/12.51  Kept:         20449
% 12.08/12.51  Inuse:        769
% 12.08/12.51  Deleted:      4403
% 12.08/12.51  Deletedinuse: 108
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    176699
% 12.08/12.51  Kept:         22455
% 12.08/12.51  Inuse:        868
% 12.08/12.51  Deleted:      4403
% 12.08/12.51  Deletedinuse: 108
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    207566
% 12.08/12.51  Kept:         24605
% 12.08/12.51  Inuse:        941
% 12.08/12.51  Deleted:      4404
% 12.08/12.51  Deletedinuse: 109
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    223169
% 12.08/12.51  Kept:         26627
% 12.08/12.51  Inuse:        970
% 12.08/12.51  Deleted:      4405
% 12.08/12.51  Deletedinuse: 110
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    246629
% 12.08/12.51  Kept:         28634
% 12.08/12.51  Inuse:        1017
% 12.08/12.51  Deleted:      4407
% 12.08/12.51  Deletedinuse: 112
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    268774
% 12.08/12.51  Kept:         30879
% 12.08/12.51  Inuse:        1068
% 12.08/12.51  Deleted:      4424
% 12.08/12.51  Deletedinuse: 126
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Intermediate Status:
% 12.08/12.51  Generated:    284018
% 12.08/12.51  Kept:         32911
% 12.08/12.51  Inuse:        1096
% 12.08/12.51  Deleted:      4426
% 12.08/12.51  Deletedinuse: 128
% 12.08/12.51  
% 12.08/12.51  Resimplifying inuse:
% 12.08/12.51  Done
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  Bliksems!, er is een bewijs:
% 12.08/12.51  % SZS status Unsatisfiable
% 12.08/12.51  % SZS output start Refutation
% 12.08/12.51  
% 12.08/12.51  clause( 1, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 12.08/12.51     ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 8, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T )
% 12.08/12.51     ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 11, [ quotient( X, X, zero ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 13, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 
% 12.08/12.51    'less_equal'( X, Z ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 14, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~( 
% 12.08/12.51    quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 15, [ 'less_equal'( x, y ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 16, [ quotient( z, y, zQy ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 17, [ quotient( z, x, zQx ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 18, [ ~( 'less_equal'( zQy, zQx ) ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 42, [ 'less_equal'( X, X ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 211, [ quotient( z, X, zQy ), ~( 'less_equal'( y, X ) ), ~( 
% 12.08/12.51    'less_equal'( X, y ) ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 215, [ quotient( z, x, X ), ~( 'less_equal'( zQx, X ) ), ~( 
% 12.08/12.51    'less_equal'( X, zQx ) ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 253, [ ~( quotient( z, y, X ) ), =( zQy, X ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 351, [ ~( 'less_equal'( X, x ) ), 'less_equal'( X, y ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 389, [ ~( 'less_equal'( divide( X, Y ), Z ) ), ~( quotient( X, Z, T
% 12.08/12.51     ) ), 'less_equal'( T, Y ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 390, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), 
% 12.08/12.51    'less_equal'( divide( X, T ), Y ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 14629, [ ~( 'less_equal'( X, zQx ) ), ~( quotient( z, y, X ) ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 33006, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( z, Y ), x
% 12.08/12.51     ), ~( 'less_equal'( zQx, X ) ), ~( 'less_equal'( X, zQx ) ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 33164, [ 'less_equal'( divide( z, zQx ), x ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 33416, [ 'less_equal'( divide( z, zQx ), y ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 33949, [ ~( quotient( z, y, X ) ) ] )
% 12.08/12.51  .
% 12.08/12.51  clause( 34223, [] )
% 12.08/12.51  .
% 12.08/12.51  
% 12.08/12.51  
% 12.08/12.51  % SZS output end Refutation
% 12.08/12.51  found a proof!
% 12.08/12.51  
% 12.08/12.51  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.08/12.51  
% 12.08/12.51  initialclauses(
% 12.08/12.51  [ clause( 34225, [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ] )
% 12.08/12.51  , clause( 34226, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 12.08/12.51  , clause( 34227, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 12.08/12.51  , clause( 34228, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~( 
% 12.08/12.51    quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 12.08/12.51     ), 'less_equal'( V0, V1 ) ] )
% 12.08/12.51  , clause( 34229, [ Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------