TSTP Solution File: SYN559-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN559-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 02:52:57 EDT 2022

% Result   : Unsatisfiable 1.14s 1.52s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN559-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Tue Jul 12 03:25:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.14/1.51  *** allocated 10000 integers for termspace/termends
% 1.14/1.51  *** allocated 10000 integers for clauses
% 1.14/1.51  *** allocated 10000 integers for justifications
% 1.14/1.51  Bliksem 1.12
% 1.14/1.51  
% 1.14/1.51  
% 1.14/1.51  Automatic Strategy Selection
% 1.14/1.51  
% 1.14/1.51  Clauses:
% 1.14/1.51  [
% 1.14/1.51     [ p2( X, X ) ],
% 1.14/1.51     [ p8( c13, c9 ) ],
% 1.14/1.51     [ p7( c10, c13 ) ],
% 1.14/1.51     [ p2( f6( c9, c13 ), c14 ) ],
% 1.14/1.51     [ p2( f5( c14, c10 ), c15 ) ],
% 1.14/1.51     [ p2( f3( f4( c11 ), c12 ), c15 ) ],
% 1.14/1.51     [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 1.14/1.51     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 1.14/1.51     [ p8( X, Y ), ~( p2( Z, Y ) ), ~( p8( T, Z ) ), ~( p2( T, X ) ) ],
% 1.14/1.51     [ p7( X, Y ), ~( p2( Z, Y ) ), ~( p7( T, Z ) ), ~( p2( T, X ) ) ],
% 1.14/1.51     [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 1.14/1.51     [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 1.14/1.51     [ p2( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 1.14/1.51     [ ~( p8( X, c9 ) ), ~( p7( c10, X ) ), ~( p2( f6( c9, X ), Y ) ), ~( p2( 
% 1.14/1.51    f5( Y, c10 ), f3( f4( c11 ), c12 ) ) ) ]
% 1.14/1.51  ] .
% 1.14/1.51  
% 1.14/1.51  
% 1.14/1.51  percentage equality = 0.000000, percentage horn = 1.000000
% 1.14/1.51  This is a near-Horn, non-equality  problem
% 1.14/1.51  
% 1.14/1.51  
% 1.14/1.51  Options Used:
% 1.14/1.51  
% 1.14/1.51  useres =            1
% 1.14/1.51  useparamod =        0
% 1.14/1.51  useeqrefl =         0
% 1.14/1.51  useeqfact =         0
% 1.14/1.51  usefactor =         1
% 1.14/1.51  usesimpsplitting =  0
% 1.14/1.51  usesimpdemod =      0
% 1.14/1.51  usesimpres =        4
% 1.14/1.51  
% 1.14/1.51  resimpinuse      =  1000
% 1.14/1.51  resimpclauses =     20000
% 1.14/1.51  substype =          standard
% 1.14/1.51  backwardsubs =      1
% 1.14/1.51  selectoldest =      5
% 1.14/1.51  
% 1.14/1.51  litorderings [0] =  split
% 1.14/1.51  litorderings [1] =  liftord
% 1.14/1.51  
% 1.14/1.51  termordering =      none
% 1.14/1.51  
% 1.14/1.51  litapriori =        1
% 1.14/1.51  termapriori =       0
% 1.14/1.51  litaposteriori =    0
% 1.14/1.51  termaposteriori =   0
% 1.14/1.51  demodaposteriori =  0
% 1.14/1.51  ordereqreflfact =   0
% 1.14/1.51  
% 1.14/1.51  litselect =         negative
% 1.14/1.51  
% 1.14/1.51  maxweight =         30000
% 1.14/1.51  maxdepth =          30000
% 1.14/1.51  maxlength =         115
% 1.14/1.51  maxnrvars =         195
% 1.14/1.51  excuselevel =       0
% 1.14/1.51  increasemaxweight = 0
% 1.14/1.51  
% 1.14/1.51  maxselected =       10000000
% 1.14/1.51  maxnrclauses =      10000000
% 1.14/1.51  
% 1.14/1.51  showgenerated =    0
% 1.14/1.51  showkept =         0
% 1.14/1.51  showselected =     0
% 1.14/1.51  showdeleted =      0
% 1.14/1.51  showresimp =       1
% 1.14/1.51  showstatus =       2000
% 1.14/1.51  
% 1.14/1.51  prologoutput =     1
% 1.14/1.51  nrgoals =          5000000
% 1.14/1.51  totalproof =       1
% 1.14/1.51  
% 1.14/1.51  Symbols occurring in the translation:
% 1.14/1.51  
% 1.14/1.51  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.14/1.51  .  [1, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 1.14/1.51  !  [4, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 1.14/1.51  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.14/1.51  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.14/1.51  p2  [40, 2]      (w:1, o:74, a:1, s:1, b:0), 
% 1.14/1.51  c13  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 1.14/1.51  c9  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 1.14/1.51  p8  [43, 2]      (w:1, o:76, a:1, s:1, b:0), 
% 1.14/1.51  c10  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 1.14/1.51  p7  [45, 2]      (w:1, o:75, a:1, s:1, b:0), 
% 1.14/1.51  f6  [46, 2]      (w:1, o:78, a:1, s:1, b:0), 
% 1.14/1.51  c14  [47, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 1.14/1.51  f5  [48, 2]      (w:1, o:77, a:1, s:1, b:0), 
% 1.14/1.51  c15  [49, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 1.14/1.51  c11  [50, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 1.14/1.51  f4  [51, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 1.14/1.51  c12  [52, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 1.14/1.51  f3  [53, 2]      (w:1, o:79, a:1, s:1, b:0).
% 1.14/1.51  
% 1.14/1.51  
% 1.14/1.51  Starting Search:
% 1.14/1.51  
% 1.14/1.51  Resimplifying inuse:
% 1.14/1.51  Done
% 1.14/1.51  
% 1.14/1.51  
% 1.14/1.51  Intermediate Status:
% 1.14/1.51  Generated:    2148
% 1.14/1.51  Kept:         2020
% 1.14/1.51  Inuse:        169
% 1.14/1.51  Deleted:      0
% 1.14/1.51  Deletedinuse: 0
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Intermediate Status:
% 1.14/1.52  Generated:    4209
% 1.14/1.52  Kept:         4035
% 1.14/1.52  Inuse:        232
% 1.14/1.52  Deleted:      0
% 1.14/1.52  Deletedinuse: 0
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Intermediate Status:
% 1.14/1.52  Generated:    6237
% 1.14/1.52  Kept:         6039
% 1.14/1.52  Inuse:        289
% 1.14/1.52  Deleted:      0
% 1.14/1.52  Deletedinuse: 0
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Intermediate Status:
% 1.14/1.52  Generated:    8330
% 1.14/1.52  Kept:         8096
% 1.14/1.52  Inuse:        329
% 1.14/1.52  Deleted:      0
% 1.14/1.52  Deletedinuse: 0
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Intermediate Status:
% 1.14/1.52  Generated:    10420
% 1.14/1.52  Kept:         10153
% 1.14/1.52  Inuse:        365
% 1.14/1.52  Deleted:      0
% 1.14/1.52  Deletedinuse: 0
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Intermediate Status:
% 1.14/1.52  Generated:    12643
% 1.14/1.52  Kept:         12302
% 1.14/1.52  Inuse:        396
% 1.14/1.52  Deleted:      0
% 1.14/1.52  Deletedinuse: 0
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Intermediate Status:
% 1.14/1.52  Generated:    14864
% 1.14/1.52  Kept:         14433
% 1.14/1.52  Inuse:        426
% 1.14/1.52  Deleted:      0
% 1.14/1.52  Deletedinuse: 0
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Intermediate Status:
% 1.14/1.52  Generated:    16942
% 1.14/1.52  Kept:         16492
% 1.14/1.52  Inuse:        446
% 1.14/1.52  Deleted:      0
% 1.14/1.52  Deletedinuse: 0
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Intermediate Status:
% 1.14/1.52  Generated:    19146
% 1.14/1.52  Kept:         18668
% 1.14/1.52  Inuse:        466
% 1.14/1.52  Deleted:      0
% 1.14/1.52  Deletedinuse: 0
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying inuse:
% 1.14/1.52  Done
% 1.14/1.52  
% 1.14/1.52  Resimplifying clauses:
% 1.14/1.52  
% 1.14/1.52  Bliksems!, er is een bewijs:
% 1.14/1.52  % SZS status Unsatisfiable
% 1.14/1.52  % SZS output start Refutation
% 1.14/1.52  
% 1.14/1.52  clause( 0, [ p2( X, X ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 1, [ p8( c13, c9 ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 2, [ p7( c10, c13 ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 3, [ p2( f6( c9, c13 ), c14 ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 4, [ p2( f5( c14, c10 ), c15 ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 5, [ p2( f3( f4( c11 ), c12 ), c15 ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 13, [ ~( p7( c10, X ) ), ~( p8( X, c9 ) ), ~( p2( f5( Y, c10 ), f3( 
% 1.14/1.52    f4( c11 ), c12 ) ) ), ~( p2( f6( c9, X ), Y ) ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 31, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 35, [ p2( c15, f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 37, [ p2( c15, f5( c14, c10 ) ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 39, [ p2( X, f5( c14, c10 ) ), ~( p2( c15, X ) ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 60, [ p2( f3( f4( c11 ), c12 ), f5( c14, c10 ) ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 76, [ p2( f5( c14, c10 ), f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 206, [ ~( p8( c13, c9 ) ), ~( p2( f5( c14, c10 ), f3( f4( c11 ), 
% 1.14/1.52    c12 ) ) ) ] )
% 1.14/1.52  .
% 1.14/1.52  clause( 20047, [] )
% 1.14/1.52  .
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  % SZS output end Refutation
% 1.14/1.52  found a proof!
% 1.14/1.52  
% 1.14/1.52  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.14/1.52  
% 1.14/1.52  initialclauses(
% 1.14/1.52  [ clause( 20049, [ p2( X, X ) ] )
% 1.14/1.52  , clause( 20050, [ p8( c13, c9 ) ] )
% 1.14/1.52  , clause( 20051, [ p7( c10, c13 ) ] )
% 1.14/1.52  , clause( 20052, [ p2( f6( c9, c13 ), c14 ) ] )
% 1.14/1.52  , clause( 20053, [ p2( f5( c14, c10 ), c15 ) ] )
% 1.14/1.52  , clause( 20054, [ p2( f3( f4( c11 ), c12 ), c15 ) ] )
% 1.14/1.52  , clause( 20055, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 1.14/1.52  , clause( 20056, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.14/1.52  , clause( 20057, [ p8( X, Y ), ~( p2( Z, Y ) ), ~( p8( T, Z ) ), ~( p2( T, 
% 1.14/1.52    X ) ) ] )
% 1.14/1.52  , clause( 20058, [ p7( X, Y ), ~( p2( Z, Y ) ), ~( p7( T, Z ) ), ~( p2( T, 
% 1.14/1.52    X ) ) ] )
% 1.14/1.52  , clause( 20059, [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 1.14/1.52    , T ) ) ] )
% 1.14/1.52  , clause( 20060, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 1.14/1.52    , T ) ) ] )
% 1.14/1.52  , clause( 20061, [ p2( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 1.14/1.52    , T ) ) ] )
% 1.14/1.52  , clause( 20062, [ ~( p8( X, c9 ) ), ~( p7( c10, X ) ), ~( p2( f6( c9, X )
% 1.14/1.52    , Y ) ), ~( p2( f5( Y, c10 ), f3( f4( c11 ), c12 ) ) ) ] )
% 1.14/1.52  ] ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 0, [ p2( X, X ) ] )
% 1.14/1.52  , clause( 20049, [ p2( X, X ) ] )
% 1.14/1.52  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 1, [ p8( c13, c9 ) ] )
% 1.14/1.52  , clause( 20050, [ p8( c13, c9 ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 2, [ p7( c10, c13 ) ] )
% 1.14/1.52  , clause( 20051, [ p7( c10, c13 ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 3, [ p2( f6( c9, c13 ), c14 ) ] )
% 1.14/1.52  , clause( 20052, [ p2( f6( c9, c13 ), c14 ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 4, [ p2( f5( c14, c10 ), c15 ) ] )
% 1.14/1.52  , clause( 20053, [ p2( f5( c14, c10 ), c15 ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 5, [ p2( f3( f4( c11 ), c12 ), c15 ) ] )
% 1.14/1.52  , clause( 20054, [ p2( f3( f4( c11 ), c12 ), c15 ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.14/1.52  , clause( 20056, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.14/1.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 1.14/1.52    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 13, [ ~( p7( c10, X ) ), ~( p8( X, c9 ) ), ~( p2( f5( Y, c10 ), f3( 
% 1.14/1.52    f4( c11 ), c12 ) ) ), ~( p2( f6( c9, X ), Y ) ) ] )
% 1.14/1.52  , clause( 20062, [ ~( p8( X, c9 ) ), ~( p7( c10, X ) ), ~( p2( f6( c9, X )
% 1.14/1.52    , Y ) ), ~( p2( f5( Y, c10 ), f3( f4( c11 ), c12 ) ) ) ] )
% 1.14/1.52  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.14/1.52     ), ==>( 1, 0 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20071, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.14/1.52  , clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.14/1.52  , 2, clause( 0, [ p2( X, X ) ] )
% 1.14/1.52  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 1.14/1.52    substitution( 1, [ :=( X, X )] )).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 31, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.14/1.52  , clause( 20071, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.14/1.52  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.14/1.52     ), ==>( 1, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20072, [ p2( c15, f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  , clause( 31, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.14/1.52  , 1, clause( 5, [ p2( f3( f4( c11 ), c12 ), c15 ) ] )
% 1.14/1.52  , 0, substitution( 0, [ :=( X, f3( f4( c11 ), c12 ) ), :=( Y, c15 )] ), 
% 1.14/1.52    substitution( 1, [] )).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 35, [ p2( c15, f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  , clause( 20072, [ p2( c15, f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20073, [ p2( c15, f5( c14, c10 ) ) ] )
% 1.14/1.52  , clause( 31, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.14/1.52  , 1, clause( 4, [ p2( f5( c14, c10 ), c15 ) ] )
% 1.14/1.52  , 0, substitution( 0, [ :=( X, f5( c14, c10 ) ), :=( Y, c15 )] ), 
% 1.14/1.52    substitution( 1, [] )).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 37, [ p2( c15, f5( c14, c10 ) ) ] )
% 1.14/1.52  , clause( 20073, [ p2( c15, f5( c14, c10 ) ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20075, [ ~( p2( c15, X ) ), p2( X, f5( c14, c10 ) ) ] )
% 1.14/1.52  , clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.14/1.52  , 2, clause( 37, [ p2( c15, f5( c14, c10 ) ) ] )
% 1.14/1.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, f5( c14, c10 ) ), :=( Z, c15 )] )
% 1.14/1.52    , substitution( 1, [] )).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 39, [ p2( X, f5( c14, c10 ) ), ~( p2( c15, X ) ) ] )
% 1.14/1.52  , clause( 20075, [ ~( p2( c15, X ) ), p2( X, f5( c14, c10 ) ) ] )
% 1.14/1.52  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 1.14/1.52    0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20076, [ p2( f3( f4( c11 ), c12 ), f5( c14, c10 ) ) ] )
% 1.14/1.52  , clause( 39, [ p2( X, f5( c14, c10 ) ), ~( p2( c15, X ) ) ] )
% 1.14/1.52  , 1, clause( 35, [ p2( c15, f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  , 0, substitution( 0, [ :=( X, f3( f4( c11 ), c12 ) )] ), substitution( 1
% 1.14/1.52    , [] )).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 60, [ p2( f3( f4( c11 ), c12 ), f5( c14, c10 ) ) ] )
% 1.14/1.52  , clause( 20076, [ p2( f3( f4( c11 ), c12 ), f5( c14, c10 ) ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20077, [ p2( f5( c14, c10 ), f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  , clause( 31, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.14/1.52  , 1, clause( 60, [ p2( f3( f4( c11 ), c12 ), f5( c14, c10 ) ) ] )
% 1.14/1.52  , 0, substitution( 0, [ :=( X, f3( f4( c11 ), c12 ) ), :=( Y, f5( c14, c10
% 1.14/1.52     ) )] ), substitution( 1, [] )).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 76, [ p2( f5( c14, c10 ), f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  , clause( 20077, [ p2( f5( c14, c10 ), f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20078, [ ~( p7( c10, c13 ) ), ~( p8( c13, c9 ) ), ~( p2( f5( c14, 
% 1.14/1.52    c10 ), f3( f4( c11 ), c12 ) ) ) ] )
% 1.14/1.52  , clause( 13, [ ~( p7( c10, X ) ), ~( p8( X, c9 ) ), ~( p2( f5( Y, c10 ), 
% 1.14/1.52    f3( f4( c11 ), c12 ) ) ), ~( p2( f6( c9, X ), Y ) ) ] )
% 1.14/1.52  , 3, clause( 3, [ p2( f6( c9, c13 ), c14 ) ] )
% 1.14/1.52  , 0, substitution( 0, [ :=( X, c13 ), :=( Y, c14 )] ), substitution( 1, [] )
% 1.14/1.52    ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20079, [ ~( p8( c13, c9 ) ), ~( p2( f5( c14, c10 ), f3( f4( c11 ), 
% 1.14/1.52    c12 ) ) ) ] )
% 1.14/1.52  , clause( 20078, [ ~( p7( c10, c13 ) ), ~( p8( c13, c9 ) ), ~( p2( f5( c14
% 1.14/1.52    , c10 ), f3( f4( c11 ), c12 ) ) ) ] )
% 1.14/1.52  , 0, clause( 2, [ p7( c10, c13 ) ] )
% 1.14/1.52  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 206, [ ~( p8( c13, c9 ) ), ~( p2( f5( c14, c10 ), f3( f4( c11 ), 
% 1.14/1.52    c12 ) ) ) ] )
% 1.14/1.52  , clause( 20079, [ ~( p8( c13, c9 ) ), ~( p2( f5( c14, c10 ), f3( f4( c11 )
% 1.14/1.52    , c12 ) ) ) ] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.14/1.52     ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20080, [ ~( p2( f5( c14, c10 ), f3( f4( c11 ), c12 ) ) ) ] )
% 1.14/1.52  , clause( 206, [ ~( p8( c13, c9 ) ), ~( p2( f5( c14, c10 ), f3( f4( c11 ), 
% 1.14/1.52    c12 ) ) ) ] )
% 1.14/1.52  , 0, clause( 1, [ p8( c13, c9 ) ] )
% 1.14/1.52  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  resolution(
% 1.14/1.52  clause( 20081, [] )
% 1.14/1.52  , clause( 20080, [ ~( p2( f5( c14, c10 ), f3( f4( c11 ), c12 ) ) ) ] )
% 1.14/1.52  , 0, clause( 76, [ p2( f5( c14, c10 ), f3( f4( c11 ), c12 ) ) ] )
% 1.14/1.52  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  subsumption(
% 1.14/1.52  clause( 20047, [] )
% 1.14/1.52  , clause( 20081, [] )
% 1.14/1.52  , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  end.
% 1.14/1.52  
% 1.14/1.52  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.14/1.52  
% 1.14/1.52  Memory use:
% 1.14/1.52  
% 1.14/1.52  space for terms:        375786
% 1.14/1.52  space for clauses:      1665648
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  clauses generated:      20810
% 1.14/1.52  clauses kept:           20048
% 1.14/1.52  clauses selected:       509
% 1.14/1.52  clauses deleted:        1
% 1.14/1.52  clauses inuse deleted:  0
% 1.14/1.52  
% 1.14/1.52  subsentry:          61998
% 1.14/1.52  literals s-matched: 53544
% 1.14/1.52  literals matched:   53544
% 1.14/1.52  full subsumption:   322
% 1.14/1.52  
% 1.14/1.52  checksum:           100974234
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Bliksem ended
%------------------------------------------------------------------------------