TSTP Solution File: COM004-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COM004-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n026.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 : Fri Jul 15 00:51:00 EDT 2022

% Result   : Unsatisfiable 0.71s 1.09s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : COM004-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n026.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 : Thu Jun 16 19:49:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.71/1.09  *** allocated 10000 integers for termspace/termends
% 0.71/1.09  *** allocated 10000 integers for clauses
% 0.71/1.09  *** allocated 10000 integers for justifications
% 0.71/1.09  Bliksem 1.12
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Automatic Strategy Selection
% 0.71/1.09  
% 0.71/1.09  Clauses:
% 0.71/1.09  [
% 0.71/1.09     [ 'failure_node'( 'parent_of'( X, Y ), or( Z, T ) ), ~( 'failure_node'( 
% 0.71/1.09    X, or( Z, U ) ) ), ~( 'failure_node'( Y, or( T, W ) ) ), ~( contradictory( 
% 0.71/1.09    U, W ) ), ~( siblings( X, Y ) ) ],
% 0.71/1.09     [ contradictory( negate( X ), X ) ],
% 0.71/1.09     [ contradictory( X, negate( X ) ) ],
% 0.71/1.09     [ siblings( 'left_child_of'( X ), 'right_child_of'( X ) ) ],
% 0.71/1.09     [ 'failure_node'( 'n_left', or( empty, atom ) ) ],
% 0.71/1.09     [ 'failure_node'( 'n_right', or( empty, negate( atom ) ) ) ],
% 0.71/1.09     [ =( 'n_left', 'left_child_of'( n ) ) ],
% 0.71/1.09     [ =( 'n_right', 'right_child_of'( n ) ) ],
% 0.71/1.09     [ ~( 'failure_node'( X, or( empty, empty ) ) ) ]
% 0.71/1.09  ] .
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  percentage equality = 0.153846, percentage horn = 1.000000
% 0.71/1.09  This is a problem with some equality
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Options Used:
% 0.71/1.09  
% 0.71/1.09  useres =            1
% 0.71/1.09  useparamod =        1
% 0.71/1.09  useeqrefl =         1
% 0.71/1.09  useeqfact =         1
% 0.71/1.09  usefactor =         1
% 0.71/1.09  usesimpsplitting =  0
% 0.71/1.09  usesimpdemod =      5
% 0.71/1.09  usesimpres =        3
% 0.71/1.09  
% 0.71/1.09  resimpinuse      =  1000
% 0.71/1.09  resimpclauses =     20000
% 0.71/1.09  substype =          eqrewr
% 0.71/1.09  backwardsubs =      1
% 0.71/1.09  selectoldest =      5
% 0.71/1.09  
% 0.71/1.09  litorderings [0] =  split
% 0.71/1.09  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.71/1.09  
% 0.71/1.09  termordering =      kbo
% 0.71/1.09  
% 0.71/1.09  litapriori =        0
% 0.71/1.09  termapriori =       1
% 0.71/1.09  litaposteriori =    0
% 0.71/1.09  termaposteriori =   0
% 0.71/1.09  demodaposteriori =  0
% 0.71/1.09  ordereqreflfact =   0
% 0.71/1.09  
% 0.71/1.09  litselect =         negord
% 0.71/1.09  
% 0.71/1.09  maxweight =         15
% 0.71/1.09  maxdepth =          30000
% 0.71/1.09  maxlength =         115
% 0.71/1.09  maxnrvars =         195
% 0.71/1.09  excuselevel =       1
% 0.71/1.09  increasemaxweight = 1
% 0.71/1.09  
% 0.71/1.09  maxselected =       10000000
% 0.71/1.09  maxnrclauses =      10000000
% 0.71/1.09  
% 0.71/1.09  showgenerated =    0
% 0.71/1.09  showkept =         0
% 0.71/1.09  showselected =     0
% 0.71/1.09  showdeleted =      0
% 0.71/1.09  showresimp =       1
% 0.71/1.09  showstatus =       2000
% 0.71/1.09  
% 0.71/1.09  prologoutput =     1
% 0.71/1.09  nrgoals =          5000000
% 0.71/1.09  totalproof =       1
% 0.71/1.09  
% 0.71/1.09  Symbols occurring in the translation:
% 0.71/1.09  
% 0.71/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.09  .  [1, 2]      (w:1, o:29, a:1, s:1, b:0), 
% 0.71/1.09  !  [4, 1]      (w:0, o:21, a:1, s:1, b:0), 
% 0.71/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  'parent_of'  [41, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 0.71/1.09  or  [44, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 0.71/1.09  'failure_node'  [45, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 0.71/1.09  contradictory  [48, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.71/1.09  siblings  [49, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.71/1.09  negate  [50, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.71/1.09  'left_child_of'  [51, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.71/1.09  'right_child_of'  [52, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.71/1.09  'n_left'  [53, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.71/1.09  empty  [54, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.71/1.09  atom  [55, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.71/1.09  'n_right'  [56, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 0.71/1.09  n  [57, 0]      (w:1, o:19, a:1, s:1, b:0).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Starting Search:
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksems!, er is een bewijs:
% 0.71/1.09  % SZS status Unsatisfiable
% 0.71/1.09  % SZS output start Refutation
% 0.71/1.09  
% 0.71/1.09  clause( 0, [ 'failure_node'( 'parent_of'( X, Y ), or( Z, T ) ), ~( 
% 0.71/1.09    'failure_node'( X, or( Z, U ) ) ), ~( 'failure_node'( Y, or( T, W ) ) ), 
% 0.71/1.09    ~( contradictory( U, W ) ), ~( siblings( X, Y ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 2, [ contradictory( X, negate( X ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 3, [ siblings( 'left_child_of'( X ), 'right_child_of'( X ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 4, [ 'failure_node'( 'n_left', or( empty, atom ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 5, [ 'failure_node'( 'n_right', or( empty, negate( atom ) ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 6, [ =( 'left_child_of'( n ), 'n_left' ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 7, [ =( 'right_child_of'( n ), 'n_right' ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 8, [ ~( 'failure_node'( X, or( empty, empty ) ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 12, [ ~( 'failure_node'( X, or( empty, Y ) ) ), ~( 'failure_node'( 
% 0.71/1.09    Z, or( empty, T ) ) ), ~( contradictory( Y, T ) ), ~( siblings( X, Z ) )
% 0.71/1.09     ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 17, [ siblings( 'n_left', 'n_right' ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 26, [ ~( 'failure_node'( X, or( empty, Y ) ) ), ~( contradictory( 
% 0.71/1.09    atom, Y ) ), ~( siblings( 'n_left', X ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 32, [ ~( siblings( 'n_left', 'n_right' ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 35, [] )
% 0.71/1.09  .
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  % SZS output end Refutation
% 0.71/1.09  found a proof!
% 0.71/1.09  
% 0.71/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09  
% 0.71/1.09  initialclauses(
% 0.71/1.09  [ clause( 37, [ 'failure_node'( 'parent_of'( X, Y ), or( Z, T ) ), ~( 
% 0.71/1.09    'failure_node'( X, or( Z, U ) ) ), ~( 'failure_node'( Y, or( T, W ) ) ), 
% 0.71/1.09    ~( contradictory( U, W ) ), ~( siblings( X, Y ) ) ] )
% 0.71/1.09  , clause( 38, [ contradictory( negate( X ), X ) ] )
% 0.71/1.09  , clause( 39, [ contradictory( X, negate( X ) ) ] )
% 0.71/1.09  , clause( 40, [ siblings( 'left_child_of'( X ), 'right_child_of'( X ) ) ]
% 0.71/1.09     )
% 0.71/1.09  , clause( 41, [ 'failure_node'( 'n_left', or( empty, atom ) ) ] )
% 0.71/1.09  , clause( 42, [ 'failure_node'( 'n_right', or( empty, negate( atom ) ) ) ]
% 0.71/1.09     )
% 0.71/1.09  , clause( 43, [ =( 'n_left', 'left_child_of'( n ) ) ] )
% 0.71/1.09  , clause( 44, [ =( 'n_right', 'right_child_of'( n ) ) ] )
% 0.71/1.09  , clause( 45, [ ~( 'failure_node'( X, or( empty, empty ) ) ) ] )
% 0.71/1.09  ] ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 0, [ 'failure_node'( 'parent_of'( X, Y ), or( Z, T ) ), ~( 
% 0.71/1.09    'failure_node'( X, or( Z, U ) ) ), ~( 'failure_node'( Y, or( T, W ) ) ), 
% 0.71/1.09    ~( contradictory( U, W ) ), ~( siblings( X, Y ) ) ] )
% 0.71/1.09  , clause( 37, [ 'failure_node'( 'parent_of'( X, Y ), or( Z, T ) ), ~( 
% 0.71/1.09    'failure_node'( X, or( Z, U ) ) ), ~( 'failure_node'( Y, or( T, W ) ) ), 
% 0.71/1.09    ~( contradictory( U, W ) ), ~( siblings( X, Y ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.09    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.71/1.09    , 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 2, [ contradictory( X, negate( X ) ) ] )
% 0.71/1.09  , clause( 39, [ contradictory( X, negate( X ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 3, [ siblings( 'left_child_of'( X ), 'right_child_of'( X ) ) ] )
% 0.71/1.09  , clause( 40, [ siblings( 'left_child_of'( X ), 'right_child_of'( X ) ) ]
% 0.71/1.09     )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 4, [ 'failure_node'( 'n_left', or( empty, atom ) ) ] )
% 0.71/1.09  , clause( 41, [ 'failure_node'( 'n_left', or( empty, atom ) ) ] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 5, [ 'failure_node'( 'n_right', or( empty, negate( atom ) ) ) ] )
% 0.71/1.09  , clause( 42, [ 'failure_node'( 'n_right', or( empty, negate( atom ) ) ) ]
% 0.71/1.09     )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  eqswap(
% 0.71/1.09  clause( 52, [ =( 'left_child_of'( n ), 'n_left' ) ] )
% 0.71/1.09  , clause( 43, [ =( 'n_left', 'left_child_of'( n ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 6, [ =( 'left_child_of'( n ), 'n_left' ) ] )
% 0.71/1.09  , clause( 52, [ =( 'left_child_of'( n ), 'n_left' ) ] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  eqswap(
% 0.71/1.09  clause( 55, [ =( 'right_child_of'( n ), 'n_right' ) ] )
% 0.71/1.09  , clause( 44, [ =( 'n_right', 'right_child_of'( n ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 7, [ =( 'right_child_of'( n ), 'n_right' ) ] )
% 0.71/1.09  , clause( 55, [ =( 'right_child_of'( n ), 'n_right' ) ] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 8, [ ~( 'failure_node'( X, or( empty, empty ) ) ) ] )
% 0.71/1.09  , clause( 45, [ ~( 'failure_node'( X, or( empty, empty ) ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 59, [ ~( 'failure_node'( X, or( empty, Z ) ) ), ~( 'failure_node'( 
% 0.71/1.09    Y, or( empty, T ) ) ), ~( contradictory( Z, T ) ), ~( siblings( X, Y ) )
% 0.71/1.09     ] )
% 0.71/1.09  , clause( 8, [ ~( 'failure_node'( X, or( empty, empty ) ) ) ] )
% 0.71/1.09  , 0, clause( 0, [ 'failure_node'( 'parent_of'( X, Y ), or( Z, T ) ), ~( 
% 0.71/1.09    'failure_node'( X, or( Z, U ) ) ), ~( 'failure_node'( Y, or( T, W ) ) ), 
% 0.71/1.09    ~( contradictory( U, W ) ), ~( siblings( X, Y ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, 'parent_of'( X, Y ) )] ), substitution( 1, [
% 0.71/1.09     :=( X, X ), :=( Y, Y ), :=( Z, empty ), :=( T, empty ), :=( U, Z ), :=( 
% 0.71/1.09    W, T )] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 12, [ ~( 'failure_node'( X, or( empty, Y ) ) ), ~( 'failure_node'( 
% 0.71/1.09    Z, or( empty, T ) ) ), ~( contradictory( Y, T ) ), ~( siblings( X, Z ) )
% 0.71/1.09     ] )
% 0.71/1.09  , clause( 59, [ ~( 'failure_node'( X, or( empty, Z ) ) ), ~( 'failure_node'( 
% 0.71/1.09    Y, or( empty, T ) ) ), ~( contradictory( Z, T ) ), ~( siblings( X, Y ) )
% 0.71/1.09     ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] ), 
% 0.71/1.09    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.71/1.09     ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  paramod(
% 0.71/1.09  clause( 63, [ siblings( 'n_left', 'right_child_of'( n ) ) ] )
% 0.71/1.09  , clause( 6, [ =( 'left_child_of'( n ), 'n_left' ) ] )
% 0.71/1.09  , 0, clause( 3, [ siblings( 'left_child_of'( X ), 'right_child_of'( X ) ) ]
% 0.71/1.09     )
% 0.71/1.09  , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, n )] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  paramod(
% 0.71/1.09  clause( 64, [ siblings( 'n_left', 'n_right' ) ] )
% 0.71/1.09  , clause( 7, [ =( 'right_child_of'( n ), 'n_right' ) ] )
% 0.71/1.09  , 0, clause( 63, [ siblings( 'n_left', 'right_child_of'( n ) ) ] )
% 0.71/1.09  , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 17, [ siblings( 'n_left', 'n_right' ) ] )
% 0.71/1.09  , clause( 64, [ siblings( 'n_left', 'n_right' ) ] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 65, [ ~( 'failure_node'( X, or( empty, Y ) ) ), ~( contradictory( 
% 0.71/1.09    atom, Y ) ), ~( siblings( 'n_left', X ) ) ] )
% 0.71/1.09  , clause( 12, [ ~( 'failure_node'( X, or( empty, Y ) ) ), ~( 'failure_node'( 
% 0.71/1.09    Z, or( empty, T ) ) ), ~( contradictory( Y, T ) ), ~( siblings( X, Z ) )
% 0.71/1.09     ] )
% 0.71/1.09  , 0, clause( 4, [ 'failure_node'( 'n_left', or( empty, atom ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, 'n_left' ), :=( Y, atom ), :=( Z, X ), :=( T
% 0.71/1.09    , Y )] ), substitution( 1, [] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 26, [ ~( 'failure_node'( X, or( empty, Y ) ) ), ~( contradictory( 
% 0.71/1.09    atom, Y ) ), ~( siblings( 'n_left', X ) ) ] )
% 0.71/1.09  , clause( 65, [ ~( 'failure_node'( X, or( empty, Y ) ) ), ~( contradictory( 
% 0.71/1.09    atom, Y ) ), ~( siblings( 'n_left', X ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 67, [ ~( contradictory( atom, negate( atom ) ) ), ~( siblings( 
% 0.71/1.09    'n_left', 'n_right' ) ) ] )
% 0.71/1.09  , clause( 26, [ ~( 'failure_node'( X, or( empty, Y ) ) ), ~( contradictory( 
% 0.71/1.09    atom, Y ) ), ~( siblings( 'n_left', X ) ) ] )
% 0.71/1.09  , 0, clause( 5, [ 'failure_node'( 'n_right', or( empty, negate( atom ) ) )
% 0.71/1.09     ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, 'n_right' ), :=( Y, negate( atom ) )] ), 
% 0.71/1.09    substitution( 1, [] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 68, [ ~( siblings( 'n_left', 'n_right' ) ) ] )
% 0.71/1.09  , clause( 67, [ ~( contradictory( atom, negate( atom ) ) ), ~( siblings( 
% 0.71/1.09    'n_left', 'n_right' ) ) ] )
% 0.71/1.09  , 0, clause( 2, [ contradictory( X, negate( X ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, atom )] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 32, [ ~( siblings( 'n_left', 'n_right' ) ) ] )
% 0.71/1.09  , clause( 68, [ ~( siblings( 'n_left', 'n_right' ) ) ] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 69, [] )
% 0.71/1.09  , clause( 32, [ ~( siblings( 'n_left', 'n_right' ) ) ] )
% 0.71/1.09  , 0, clause( 17, [ siblings( 'n_left', 'n_right' ) ] )
% 0.71/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 35, [] )
% 0.71/1.09  , clause( 69, [] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  end.
% 0.71/1.09  
% 0.71/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09  
% 0.71/1.09  Memory use:
% 0.71/1.09  
% 0.71/1.09  space for terms:        724
% 0.71/1.09  space for clauses:      1982
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  clauses generated:      101
% 0.71/1.09  clauses kept:           36
% 0.71/1.09  clauses selected:       17
% 0.71/1.09  clauses deleted:        1
% 0.71/1.09  clauses inuse deleted:  0
% 0.71/1.09  
% 0.71/1.09  subsentry:          74
% 0.71/1.09  literals s-matched: 38
% 0.71/1.09  literals matched:   31
% 0.71/1.09  full subsumption:   9
% 0.71/1.09  
% 0.71/1.09  checksum:           53362697
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksem ended
%------------------------------------------------------------------------------