TSTP Solution File: SYN679-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN679-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n022.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 21 02:53:52 EDT 2022

% Result   : Unsatisfiable 0.75s 1.66s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN679-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n022.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 : Mon Jul 11 20:05:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.75/1.53  *** allocated 10000 integers for termspace/termends
% 0.75/1.53  *** allocated 10000 integers for clauses
% 0.75/1.53  *** allocated 10000 integers for justifications
% 0.75/1.53  Bliksem 1.12
% 0.75/1.53  
% 0.75/1.53  
% 0.75/1.53  Automatic Strategy Selection
% 0.75/1.53  
% 0.75/1.53  Clauses:
% 0.75/1.53  [
% 0.75/1.53     [ p22( c28 ) ],
% 0.75/1.53     [ p10( X, X ) ],
% 0.75/1.53     [ p7( X, X ) ],
% 0.75/1.53     [ p6( X, X ) ],
% 0.75/1.53     [ p3( X, X ) ],
% 0.75/1.53     [ p20( X, X ) ],
% 0.75/1.53     [ p2( X, X ) ],
% 0.75/1.53     [ p19( X, X ) ],
% 0.75/1.53     [ p14( X, X ) ],
% 0.75/1.53     [ p12( X, X ) ],
% 0.75/1.53     [ p10( c35, c34 ) ],
% 0.75/1.53     [ p25( c36, c33 ) ],
% 0.75/1.53     [ p25( c32, c36 ) ],
% 0.75/1.53     [ p25( c32, c33 ) ],
% 0.75/1.53     [ p2( c32, f9( c31 ) ) ],
% 0.75/1.53     [ p7( f8( c29 ), c30 ) ],
% 0.75/1.53     [ p26( f21( c28, c37 ), c34 ) ],
% 0.75/1.53     [ p23( c28, f4( f5( X ) ), f4( X ) ) ],
% 0.75/1.53     [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ],
% 0.75/1.53     [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ],
% 0.75/1.53     [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 0.75/1.53     [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 0.75/1.53     [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.75/1.53     [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 0.75/1.53     [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.75/1.53     [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.75/1.53     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.75/1.53     [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.75/1.53     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.75/1.53     [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ],
% 0.75/1.53     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.75/1.53     [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.75/1.53     [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 0.75/1.53     [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.75/1.53     [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T, X ) ) ],
% 0.75/1.53     [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T, Y ) ) ]
% 0.75/1.53    ,
% 0.75/1.53     [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T, X ) ) ],
% 0.75/1.53     [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T, Y ) ) ]
% 0.75/1.53    ,
% 0.75/1.53     [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ), f9( f17( c31 )
% 0.75/1.53     ) ) ) ],
% 0.75/1.53     [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9( f17( c31 )
% 0.75/1.53     ) ) ) ],
% 0.75/1.53     [ p27( f11( f4( c36 ), c37 ), f11( f4( f18( c36, f9( f17( c31 ) ) ) ), 
% 0.75/1.53    c37 ) ) ],
% 0.75/1.53     [ p25( f11( f4( c33 ), c35 ), f11( f4( f18( c33, f9( f17( c31 ) ) ) ), 
% 0.75/1.53    c35 ) ) ],
% 0.75/1.53     [ ~( p2( f11( f4( f18( c32, f9( f17( c31 ) ) ) ), c34 ), f11( f4( c32 )
% 0.75/1.53    , c34 ) ) ) ],
% 0.75/1.53     [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( p19( X, Z ) ) ]
% 0.75/1.53    ,
% 0.75/1.53     [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.75/1.53    ,
% 0.75/1.53     [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.75/1.53    ,
% 0.75/1.53     [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X, Z ) ) ]
% 0.75/1.53    ,
% 0.75/1.53     [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.75/1.53    ,
% 0.75/1.53     [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.75/1.53    ,
% 0.75/1.53     [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c33 ) ), 
% 0.75/1.53    ~( p25( c32, X ) ) ],
% 0.75/1.53     [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c36 ) ), 
% 0.75/1.53    ~( p25( c32, X ) ) ],
% 0.75/1.53     [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30, f13( X, Z ) )
% 0.75/1.53    , f13( Y, T ) ) ) ],
% 0.75/1.53     [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19( W, X ) ), 
% 0.75/1.53    ~( p23( W, U, T ) ) ],
% 0.75/1.53     [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( p24( f15( c30
% 0.75/1.53    , f13( X, Z ) ), f13( Y, T ) ) ) ],
% 0.75/1.53     [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( T ), Y ) ), 
% 0.75/1.53    ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ]
% 0.75/1.53  ] .
% 0.75/1.53  
% 0.75/1.53  
% 0.75/1.53  percentage equality = 0.000000, percentage horn = 0.963636
% 0.75/1.53  This is a near-Horn, non-equality  problem
% 0.75/1.53  
% 0.75/1.53  
% 0.75/1.53  Options Used:
% 0.75/1.53  
% 0.75/1.53  useres =            1
% 0.75/1.53  useparamod =        0
% 0.75/1.53  useeqrefl =         0
% 0.75/1.53  useeqfact =         0
% 0.75/1.53  usefactor =         1
% 0.75/1.53  usesimpsplitting =  0
% 0.75/1.53  usesimpdemod =      0
% 0.75/1.53  usesimpres =        4
% 0.75/1.53  
% 0.75/1.53  resimpinuse      =  1000
% 0.75/1.53  resimpclauses =     20000
% 0.75/1.53  substype =          standard
% 0.75/1.53  backwardsubs =      1
% 0.75/1.53  selectoldest =      5
% 0.75/1.53  
% 0.75/1.53  litorderings [0] =  split
% 0.75/1.53  litorderings [1] =  liftord
% 0.75/1.53  
% 0.75/1.53  termordering =      none
% 0.75/1.53  
% 0.75/1.53  litapriori =        1
% 0.75/1.53  termapriori =       0
% 0.75/1.53  litaposteriori =    0
% 0.75/1.53  termaposteriori =   0
% 0.75/1.53  demodaposteriori =  0
% 0.75/1.53  ordereqreflfact =   0
% 0.75/1.53  
% 0.75/1.53  litselect =         negative
% 0.75/1.53  
% 0.75/1.53  maxweight =         30000
% 0.75/1.53  maxdepth =          30000
% 0.75/1.53  maxlength =         115
% 0.75/1.53  maxnrvars =         195
% 0.75/1.53  excuselevel =       0
% 0.75/1.53  increasemaxweight = 0
% 0.75/1.66  
% 0.75/1.66  maxselected =       10000000
% 0.75/1.66  maxnrclauses =      10000000
% 0.75/1.66  
% 0.75/1.66  showgenerated =    0
% 0.75/1.66  showkept =         0
% 0.75/1.66  showselected =     0
% 0.75/1.66  showdeleted =      0
% 0.75/1.66  showresimp =       1
% 0.75/1.66  showstatus =       2000
% 0.75/1.66  
% 0.75/1.66  prologoutput =     1
% 0.75/1.66  nrgoals =          5000000
% 0.75/1.66  totalproof =       1
% 0.75/1.66  
% 0.75/1.66  Symbols occurring in the translation:
% 0.75/1.66  
% 0.75/1.66  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.75/1.66  .  [1, 2]      (w:1, o:127, a:1, s:1, b:0), 
% 0.75/1.66  !  [4, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.75/1.66  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.66  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.66  c28  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.75/1.66  p22  [40, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 0.75/1.66  p10  [42, 2]      (w:1, o:152, a:1, s:1, b:0), 
% 0.75/1.66  p7  [44, 2]      (w:1, o:154, a:1, s:1, b:0), 
% 0.75/1.66  p6  [46, 2]      (w:1, o:153, a:1, s:1, b:0), 
% 0.75/1.66  p3  [48, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 0.75/1.66  p20  [50, 2]      (w:1, o:158, a:1, s:1, b:0), 
% 0.75/1.66  p2  [52, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 0.75/1.66  p19  [54, 2]      (w:1, o:155, a:1, s:1, b:0), 
% 0.75/1.66  p14  [56, 2]      (w:1, o:156, a:1, s:1, b:0), 
% 0.75/1.66  p12  [58, 2]      (w:1, o:157, a:1, s:1, b:0), 
% 0.75/1.66  c35  [59, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 0.75/1.66  c34  [60, 0]      (w:1, o:99, a:1, s:1, b:0), 
% 0.75/1.66  c36  [61, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 0.75/1.66  c33  [62, 0]      (w:1, o:98, a:1, s:1, b:0), 
% 0.75/1.66  p25  [63, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 0.75/1.66  c32  [64, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 0.75/1.66  c31  [65, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 0.75/1.66  f9  [66, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 0.75/1.66  c29  [67, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 0.75/1.66  f8  [68, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 0.75/1.66  c30  [69, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 0.75/1.66  c37  [70, 0]      (w:1, o:102, a:1, s:1, b:0), 
% 0.75/1.66  f21  [71, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.75/1.66  p26  [72, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 0.75/1.66  f5  [74, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 0.75/1.66  f4  [75, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 0.75/1.66  p23  [76, 3]      (w:1, o:171, a:1, s:1, b:0), 
% 0.75/1.66  f17  [78, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 0.75/1.66  f16  [79, 2]      (w:1, o:166, a:1, s:1, b:0), 
% 0.75/1.66  p27  [112, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 0.75/1.66  p24  [117, 2]      (w:1, o:160, a:1, s:1, b:0), 
% 0.75/1.66  f11  [128, 2]      (w:1, o:167, a:1, s:1, b:0), 
% 0.75/1.66  f18  [129, 2]      (w:1, o:168, a:1, s:1, b:0), 
% 0.75/1.66  f13  [136, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 0.75/1.66  f15  [141, 2]      (w:1, o:165, a:1, s:1, b:0).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Starting Search:
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    2231
% 0.75/1.66  Kept:         2012
% 0.75/1.66  Inuse:        260
% 0.75/1.66  Deleted:      0
% 0.75/1.66  Deletedinuse: 0
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    4349
% 0.75/1.66  Kept:         4041
% 0.75/1.66  Inuse:        341
% 0.75/1.66  Deleted:      0
% 0.75/1.66  Deletedinuse: 0
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    6557
% 0.75/1.66  Kept:         6161
% 0.75/1.66  Inuse:        406
% 0.75/1.66  Deleted:      0
% 0.75/1.66  Deletedinuse: 0
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    8688
% 0.75/1.66  Kept:         8245
% 0.75/1.66  Inuse:        466
% 0.75/1.66  Deleted:      0
% 0.75/1.66  Deletedinuse: 0
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    10753
% 0.75/1.66  Kept:         10279
% 0.75/1.66  Inuse:        497
% 0.75/1.66  Deleted:      0
% 0.75/1.66  Deletedinuse: 0
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    12861
% 0.75/1.66  Kept:         12363
% 0.75/1.66  Inuse:        531
% 0.75/1.66  Deleted:      0
% 0.75/1.66  Deletedinuse: 0
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    14904
% 0.75/1.66  Kept:         14378
% 0.75/1.66  Inuse:        580
% 0.75/1.66  Deleted:      0
% 0.75/1.66  Deletedinuse: 0
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    16963
% 0.75/1.66  Kept:         16403
% 0.75/1.66  Inuse:        614
% 0.75/1.66  Deleted:      0
% 0.75/1.66  Deletedinuse: 0
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    19219
% 0.75/1.66  Kept:         18620
% 0.75/1.66  Inuse:        650
% 0.75/1.66  Deleted:      0
% 0.75/1.66  Deletedinuse: 0
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying clauses:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    21287
% 0.75/1.66  Kept:         20666
% 0.75/1.66  Inuse:        674
% 0.75/1.66  Deleted:      786
% 0.75/1.66  Deletedinuse: 12
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    23410
% 0.75/1.66  Kept:         22711
% 0.75/1.66  Inuse:        702
% 0.75/1.66  Deleted:      798
% 0.75/1.66  Deletedinuse: 24
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    25463
% 0.75/1.66  Kept:         24724
% 0.75/1.66  Inuse:        731
% 0.75/1.66  Deleted:      798
% 0.75/1.66  Deletedinuse: 24
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    27622
% 0.75/1.66  Kept:         26772
% 0.75/1.66  Inuse:        772
% 0.75/1.66  Deleted:      804
% 0.75/1.66  Deletedinuse: 24
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  Resimplifying inuse:
% 0.75/1.66  Done
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Intermediate Status:
% 0.75/1.66  Generated:    29699
% 0.75/1.66  Kept:         28775
% 0.75/1.66  Inuse:        805
% 0.75/1.66  Deleted:      810
% 0.75/1.66  Deletedinuse: 24
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Bliksems!, er is een bewijs:
% 0.75/1.66  % SZS status Unsatisfiable
% 0.75/1.66  % SZS output start Refutation
% 0.75/1.66  
% 0.75/1.66  clause( 6, [ p2( X, X ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 11, [ p25( c36, c33 ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 12, [ p25( c32, c36 ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9( 
% 0.75/1.66    f17( c31 ) ) ) ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 0.75/1.66    , X ) ), ~( p25( X, c33 ) ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 139, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 321, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~( 
% 0.75/1.66    p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 686, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 691, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.75/1.66  .
% 0.75/1.66  clause( 28892, [] )
% 0.75/1.66  .
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  % SZS output end Refutation
% 0.75/1.66  found a proof!
% 0.75/1.66  
% 0.75/1.66  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.66  
% 0.75/1.66  initialclauses(
% 0.75/1.66  [ clause( 28894, [ p22( c28 ) ] )
% 0.75/1.66  , clause( 28895, [ p10( X, X ) ] )
% 0.75/1.66  , clause( 28896, [ p7( X, X ) ] )
% 0.75/1.66  , clause( 28897, [ p6( X, X ) ] )
% 0.75/1.66  , clause( 28898, [ p3( X, X ) ] )
% 0.75/1.66  , clause( 28899, [ p20( X, X ) ] )
% 0.75/1.66  , clause( 28900, [ p2( X, X ) ] )
% 0.75/1.66  , clause( 28901, [ p19( X, X ) ] )
% 0.75/1.66  , clause( 28902, [ p14( X, X ) ] )
% 0.75/1.66  , clause( 28903, [ p12( X, X ) ] )
% 0.75/1.66  , clause( 28904, [ p10( c35, c34 ) ] )
% 0.75/1.66  , clause( 28905, [ p25( c36, c33 ) ] )
% 0.75/1.66  , clause( 28906, [ p25( c32, c36 ) ] )
% 0.75/1.66  , clause( 28907, [ p25( c32, c33 ) ] )
% 0.75/1.66  , clause( 28908, [ p2( c32, f9( c31 ) ) ] )
% 0.75/1.66  , clause( 28909, [ p7( f8( c29 ), c30 ) ] )
% 0.75/1.66  , clause( 28910, [ p26( f21( c28, c37 ), c34 ) ] )
% 0.75/1.66  , clause( 28911, [ p23( c28, f4( f5( X ) ), f4( X ) ) ] )
% 0.75/1.66  , clause( 28912, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.75/1.66  , clause( 28913, [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ] )
% 0.75/1.66  , clause( 28914, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 0.75/1.66  , clause( 28915, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 0.75/1.66  , clause( 28916, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.75/1.66  , clause( 28917, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 0.75/1.66  , clause( 28918, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.75/1.66  , clause( 28919, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28920, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28921, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28922, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28923, [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28924, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28925, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28926, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28927, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28928, [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T
% 0.75/1.66    , X ) ) ] )
% 0.75/1.66  , clause( 28929, [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( 
% 0.75/1.66    T, Y ) ) ] )
% 0.75/1.66  , clause( 28930, [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T
% 0.75/1.66    , X ) ) ] )
% 0.75/1.66  , clause( 28931, [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( 
% 0.75/1.66    T, Y ) ) ] )
% 0.75/1.66  , clause( 28932, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ), 
% 0.75/1.66    f9( f17( c31 ) ) ) ) ] )
% 0.75/1.66  , clause( 28933, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), 
% 0.75/1.66    f9( f17( c31 ) ) ) ) ] )
% 0.75/1.66  , clause( 28934, [ p27( f11( f4( c36 ), c37 ), f11( f4( f18( c36, f9( f17( 
% 0.75/1.66    c31 ) ) ) ), c37 ) ) ] )
% 0.75/1.66  , clause( 28935, [ p25( f11( f4( c33 ), c35 ), f11( f4( f18( c33, f9( f17( 
% 0.75/1.66    c31 ) ) ) ), c35 ) ) ] )
% 0.75/1.66  , clause( 28936, [ ~( p2( f11( f4( f18( c32, f9( f17( c31 ) ) ) ), c34 ), 
% 0.75/1.66    f11( f4( c32 ), c34 ) ) ) ] )
% 0.75/1.66  , clause( 28937, [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( 
% 0.75/1.66    p19( X, Z ) ) ] )
% 0.75/1.66  , clause( 28938, [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( 
% 0.75/1.66    Y, T ) ) ] )
% 0.75/1.66  , clause( 28939, [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( 
% 0.75/1.66    X, Z ) ) ] )
% 0.75/1.66  , clause( 28940, [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( 
% 0.75/1.66    X, Z ) ) ] )
% 0.75/1.66  , clause( 28941, [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( 
% 0.75/1.66    Y, T ) ) ] )
% 0.75/1.66  , clause( 28942, [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( 
% 0.75/1.66    Y, T ) ) ] )
% 0.75/1.66  , clause( 28943, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.75/1.66    X, c33 ) ), ~( p25( c32, X ) ) ] )
% 0.75/1.66  , clause( 28944, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.75/1.66    X, c36 ) ), ~( p25( c32, X ) ) ] )
% 0.75/1.66  , clause( 28945, [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30, 
% 0.75/1.66    f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 0.75/1.66  , clause( 28946, [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19( 
% 0.75/1.66    W, X ) ), ~( p23( W, U, T ) ) ] )
% 0.75/1.66  , clause( 28947, [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), 
% 0.75/1.66    ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 0.75/1.66  , clause( 28948, [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( 
% 0.75/1.66    T ), Y ) ), ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 0.75/1.66  ] ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 6, [ p2( X, X ) ] )
% 0.75/1.66  , clause( 28900, [ p2( X, X ) ] )
% 0.75/1.66  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 11, [ p25( c36, c33 ) ] )
% 0.75/1.66  , clause( 28905, [ p25( c36, c33 ) ] )
% 0.75/1.66  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 12, [ p25( c32, c36 ) ] )
% 0.75/1.66  , clause( 28906, [ p25( c32, c36 ) ] )
% 0.75/1.66  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.75/1.66  , clause( 28912, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.75/1.66  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.75/1.66  , clause( 28924, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.75/1.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.75/1.66    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9( 
% 0.75/1.66    f17( c31 ) ) ) ) ] )
% 0.75/1.66  , clause( 28933, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), 
% 0.75/1.66    f9( f17( c31 ) ) ) ) ] )
% 0.75/1.66  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 0.75/1.66    , X ) ), ~( p25( X, c33 ) ) ] )
% 0.75/1.66  , clause( 28943, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.75/1.66    X, c33 ) ), ~( p25( c32, X ) ) ] )
% 0.75/1.66  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.75/1.66    2 ), ==>( 2, 1 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  resolution(
% 0.75/1.66  clause( 28980, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.75/1.66  , clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.75/1.66  , 2, clause( 6, [ p2( X, X ) ] )
% 0.75/1.66  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.75/1.66    substitution( 1, [ :=( X, X )] )).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 139, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.75/1.66  , clause( 28980, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.75/1.66  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.66     ), ==>( 1, 0 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  resolution(
% 0.75/1.66  clause( 28982, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4( 
% 0.75/1.66    c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 0.75/1.66  , clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.75/1.66  , 2, clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), 
% 0.75/1.66    f9( f17( c31 ) ) ) ) ] )
% 0.75/1.66  , 0, substitution( 0, [ :=( X, X ), :=( Y, f16( f11( f4( c36 ), c34 ), f9( 
% 0.75/1.66    f17( c31 ) ) ) ), :=( Z, f11( f4( c32 ), c34 ) )] ), substitution( 1, [] )
% 0.75/1.66    ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 321, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~( 
% 0.75/1.66    p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 0.75/1.66  , clause( 28982, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4( 
% 0.75/1.66    c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 0.75/1.66  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.75/1.66    0 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  resolution(
% 0.75/1.66  clause( 28983, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.75/1.66    c32, c36 ) ) ] )
% 0.75/1.66  , clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.75/1.66    c32, X ) ), ~( p25( X, c33 ) ) ] )
% 0.75/1.66  , 2, clause( 11, [ p25( c36, c33 ) ] )
% 0.75/1.66  , 0, substitution( 0, [ :=( X, c36 )] ), substitution( 1, [] )).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  resolution(
% 0.75/1.66  clause( 28984, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.75/1.66  , clause( 28983, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~( 
% 0.75/1.66    p25( c32, c36 ) ) ] )
% 0.75/1.66  , 1, clause( 12, [ p25( c32, c36 ) ] )
% 0.75/1.66  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 686, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.75/1.66  , clause( 28984, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.75/1.66  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  resolution(
% 0.75/1.66  clause( 28985, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.75/1.66  , clause( 139, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.75/1.66  , 1, clause( 686, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.75/1.66  , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) ), :=( Y, f11( f4( c32
% 0.75/1.66     ), c34 ) )] ), substitution( 1, [] )).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 691, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.75/1.66  , clause( 28985, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.75/1.66  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  resolution(
% 0.75/1.66  clause( 28986, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 ), f9( 
% 0.75/1.66    f17( c31 ) ) ) ) ] )
% 0.75/1.66  , clause( 321, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), 
% 0.75/1.66    ~( p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 0.75/1.66  , 1, clause( 691, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.75/1.66  , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 0.75/1.66    , [] )).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  resolution(
% 0.75/1.66  clause( 28987, [] )
% 0.75/1.66  , clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.75/1.66  , 0, clause( 28986, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 )
% 0.75/1.66    , f9( f17( c31 ) ) ) ) ] )
% 0.75/1.66  , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 0.75/1.66    , [] )).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  subsumption(
% 0.75/1.66  clause( 28892, [] )
% 0.75/1.66  , clause( 28987, [] )
% 0.75/1.66  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  end.
% 0.75/1.66  
% 0.75/1.66  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.66  
% 0.75/1.66  Memory use:
% 0.75/1.66  
% 0.75/1.66  space for terms:        528859
% 0.75/1.66  space for clauses:      2087973
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  clauses generated:      29836
% 0.75/1.66  clauses kept:           28893
% 0.75/1.66  clauses selected:       814
% 0.75/1.66  clauses deleted:        810
% 0.75/1.66  clauses inuse deleted:  24
% 0.75/1.66  
% 0.75/1.66  subsentry:          108437
% 0.75/1.66  literals s-matched: 87356
% 0.75/1.66  literals matched:   87356
% 0.75/1.66  full subsumption:   795
% 0.75/1.66  
% 0.75/1.66  checksum:           119018662
% 0.75/1.66  
% 0.75/1.66  
% 0.75/1.66  Bliksem ended
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