TSTP Solution File: LCL236-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL236-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n015.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 : Sun Jul 17 07:52:05 EDT 2022

% Result   : Unsatisfiable 0.75s 1.15s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL236-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Mon Jul  4 05:49:01 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.75/1.15  *** allocated 10000 integers for termspace/termends
% 0.75/1.15  *** allocated 10000 integers for clauses
% 0.75/1.15  *** allocated 10000 integers for justifications
% 0.75/1.15  Bliksem 1.12
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Automatic Strategy Selection
% 0.75/1.15  
% 0.75/1.15  Clauses:
% 0.75/1.15  [
% 0.75/1.15     [ axiom( or( not( or( X, X ) ), X ) ) ],
% 0.75/1.15     [ axiom( or( not( X ), or( Y, X ) ) ) ],
% 0.75/1.15     [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ],
% 0.75/1.15     [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) ) ],
% 0.75/1.15     [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or( Z, Y )
% 0.75/1.15     ) ) ) ],
% 0.75/1.15     [ theorem( X ), ~( axiom( X ) ) ],
% 0.75/1.15     [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( Y ) ) ]
% 0.75/1.15    ,
% 0.75/1.15     [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z ) ) ), ~( 
% 0.75/1.15    theorem( or( not( Z ), Y ) ) ) ],
% 0.75/1.15     [ ~( theorem( or( not( or( not( p ), not( q ) ) ), not( not( or( not( p
% 0.75/1.15     ), not( q ) ) ) ) ) ) ) ]
% 0.75/1.15  ] .
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  percentage equality = 0.000000, percentage horn = 1.000000
% 0.75/1.15  This is a near-Horn, non-equality  problem
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Options Used:
% 0.75/1.15  
% 0.75/1.15  useres =            1
% 0.75/1.15  useparamod =        0
% 0.75/1.15  useeqrefl =         0
% 0.75/1.15  useeqfact =         0
% 0.75/1.15  usefactor =         1
% 0.75/1.15  usesimpsplitting =  0
% 0.75/1.15  usesimpdemod =      0
% 0.75/1.15  usesimpres =        4
% 0.75/1.15  
% 0.75/1.15  resimpinuse      =  1000
% 0.75/1.15  resimpclauses =     20000
% 0.75/1.15  substype =          standard
% 0.75/1.15  backwardsubs =      1
% 0.75/1.15  selectoldest =      5
% 0.75/1.15  
% 0.75/1.15  litorderings [0] =  split
% 0.75/1.15  litorderings [1] =  liftord
% 0.75/1.15  
% 0.75/1.15  termordering =      none
% 0.75/1.15  
% 0.75/1.15  litapriori =        1
% 0.75/1.15  termapriori =       0
% 0.75/1.15  litaposteriori =    0
% 0.75/1.15  termaposteriori =   0
% 0.75/1.15  demodaposteriori =  0
% 0.75/1.15  ordereqreflfact =   0
% 0.75/1.15  
% 0.75/1.15  litselect =         negative
% 0.75/1.15  
% 0.75/1.15  maxweight =         30000
% 0.75/1.15  maxdepth =          30000
% 0.75/1.15  maxlength =         115
% 0.75/1.15  maxnrvars =         195
% 0.75/1.15  excuselevel =       0
% 0.75/1.15  increasemaxweight = 0
% 0.75/1.15  
% 0.75/1.15  maxselected =       10000000
% 0.75/1.15  maxnrclauses =      10000000
% 0.75/1.15  
% 0.75/1.15  showgenerated =    0
% 0.75/1.15  showkept =         0
% 0.75/1.15  showselected =     0
% 0.75/1.15  showdeleted =      0
% 0.75/1.15  showresimp =       1
% 0.75/1.15  showstatus =       2000
% 0.75/1.15  
% 0.75/1.15  prologoutput =     1
% 0.75/1.15  nrgoals =          5000000
% 0.75/1.15  totalproof =       1
% 0.75/1.15  
% 0.75/1.15  Symbols occurring in the translation:
% 0.75/1.15  
% 0.75/1.15  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.75/1.15  .  [1, 2]      (w:1, o:25, a:1, s:1, b:0), 
% 0.75/1.15  !  [4, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.75/1.15  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.15  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.15  or  [40, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.75/1.15  not  [41, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.75/1.15  axiom  [42, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.75/1.15  theorem  [46, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.75/1.15  p  [49, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.75/1.15  q  [50, 0]      (w:1, o:16, a:1, s:1, b:0).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Starting Search:
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Bliksems!, er is een bewijs:
% 0.75/1.15  % SZS status Unsatisfiable
% 0.75/1.15  % SZS output start Refutation
% 0.75/1.15  
% 0.75/1.15  clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 0.75/1.15     ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 0.75/1.15     ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 8, [ ~( theorem( or( not( or( not( p ), not( q ) ) ), not( not( or( 
% 0.75/1.15    not( p ), not( q ) ) ) ) ) ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 9, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 12, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 13, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 0.75/1.15     ) ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 66, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 68, [ theorem( or( not( X ), X ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 71, [ theorem( or( X, not( X ) ) ) ] )
% 0.75/1.15  .
% 0.75/1.15  clause( 72, [] )
% 0.75/1.15  .
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  % SZS output end Refutation
% 0.75/1.15  found a proof!
% 0.75/1.15  
% 0.75/1.15  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.15  
% 0.75/1.15  initialclauses(
% 0.75/1.15  [ clause( 74, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 0.75/1.15  , clause( 75, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  , clause( 76, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 0.75/1.15  , clause( 77, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) )
% 0.75/1.15     ) ) ] )
% 0.75/1.15  , clause( 78, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) )
% 0.75/1.15    , or( Z, Y ) ) ) ) ] )
% 0.75/1.15  , clause( 79, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.75/1.15  , clause( 80, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( 
% 0.75/1.15    Y ) ) ] )
% 0.75/1.15  , clause( 81, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z ) )
% 0.75/1.15     ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 0.75/1.15  , clause( 82, [ ~( theorem( or( not( or( not( p ), not( q ) ) ), not( not( 
% 0.75/1.15    or( not( p ), not( q ) ) ) ) ) ) ) ] )
% 0.75/1.15  ] ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 0.75/1.15  , clause( 74, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  , clause( 75, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.15     )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 0.75/1.15  , clause( 76, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.15     )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 0.75/1.15     ] )
% 0.75/1.15  , clause( 77, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) )
% 0.75/1.15     ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.75/1.15    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.75/1.15  , clause( 79, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.75/1.15    1 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 0.75/1.15     ) ] )
% 0.75/1.15  , clause( 80, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( 
% 0.75/1.15    Y ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.15     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 8, [ ~( theorem( or( not( or( not( p ), not( q ) ) ), not( not( or( 
% 0.75/1.15    not( p ), not( q ) ) ) ) ) ) ) ] )
% 0.75/1.15  , clause( 82, [ ~( theorem( or( not( or( not( p ), not( q ) ) ), not( not( 
% 0.75/1.15    or( not( p ), not( q ) ) ) ) ) ) ) ] )
% 0.75/1.15  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  resolution(
% 0.75/1.15  clause( 83, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  , clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.75/1.15  , 1, clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  , 0, substitution( 0, [ :=( X, or( not( X ), or( Y, X ) ) )] ), 
% 0.75/1.15    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 9, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  , clause( 83, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.15     )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  resolution(
% 0.75/1.15  clause( 84, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.75/1.15  , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 0.75/1.15     ) ) ] )
% 0.75/1.15  , 2, clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 0.75/1.15  , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, or( Y, X ) )] ), 
% 0.75/1.15    substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 12, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.75/1.15  , clause( 84, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.15     ), ==>( 1, 1 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  resolution(
% 0.75/1.15  clause( 85, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.75/1.15  , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 0.75/1.15     ) ) ] )
% 0.75/1.15  , 2, clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 0.75/1.15  , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, X ) )] ), substitution( 1
% 0.75/1.15    , [ :=( X, X )] )).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 13, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.75/1.15  , clause( 85, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.75/1.15    1 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  resolution(
% 0.75/1.15  clause( 86, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 0.75/1.15     ) ) ) ] )
% 0.75/1.15  , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 0.75/1.15     ) ) ] )
% 0.75/1.15  , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 0.75/1.15     ) ) ) ] )
% 0.75/1.15  , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, or( Y, or( X, 
% 0.75/1.15    Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 0.75/1.15     ) ) ) ] )
% 0.75/1.15  , clause( 86, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 0.75/1.15     ) ) ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.75/1.15    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  resolution(
% 0.75/1.15  clause( 87, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 0.75/1.15  , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 0.75/1.15     ) ) ) ) ] )
% 0.75/1.15  , 1, clause( 9, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 0.75/1.15  , 0, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, Y )] ), 
% 0.75/1.15    substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 66, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 0.75/1.15  , clause( 87, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.15     )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  resolution(
% 0.75/1.15  clause( 88, [ theorem( or( not( X ), X ) ) ] )
% 0.75/1.15  , clause( 13, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 0.75/1.15  , 1, clause( 66, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 0.75/1.15  , 0, substitution( 0, [ :=( X, or( not( X ), X ) )] ), substitution( 1, [ 
% 0.75/1.15    :=( X, or( not( X ), X ) ), :=( Y, X )] )).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 68, [ theorem( or( not( X ), X ) ) ] )
% 0.75/1.15  , clause( 88, [ theorem( or( not( X ), X ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  resolution(
% 0.75/1.15  clause( 89, [ theorem( or( X, not( X ) ) ) ] )
% 0.75/1.15  , clause( 12, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 0.75/1.15  , 1, clause( 68, [ theorem( or( not( X ), X ) ) ] )
% 0.75/1.15  , 0, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution( 1
% 0.75/1.15    , [ :=( X, X )] )).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 71, [ theorem( or( X, not( X ) ) ) ] )
% 0.75/1.15  , clause( 89, [ theorem( or( X, not( X ) ) ) ] )
% 0.75/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  resolution(
% 0.75/1.15  clause( 90, [] )
% 0.75/1.15  , clause( 8, [ ~( theorem( or( not( or( not( p ), not( q ) ) ), not( not( 
% 0.75/1.15    or( not( p ), not( q ) ) ) ) ) ) ) ] )
% 0.75/1.15  , 0, clause( 71, [ theorem( or( X, not( X ) ) ) ] )
% 0.75/1.15  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, not( or( not( p ), 
% 0.75/1.15    not( q ) ) ) )] )).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  subsumption(
% 0.75/1.15  clause( 72, [] )
% 0.75/1.15  , clause( 90, [] )
% 0.75/1.15  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  end.
% 0.75/1.15  
% 0.75/1.15  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.15  
% 0.75/1.15  Memory use:
% 0.75/1.15  
% 0.75/1.15  space for terms:        1024
% 0.75/1.15  space for clauses:      5579
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  clauses generated:      115
% 0.75/1.15  clauses kept:           73
% 0.75/1.15  clauses selected:       39
% 0.75/1.15  clauses deleted:        0
% 0.75/1.15  clauses inuse deleted:  0
% 0.75/1.15  
% 0.75/1.15  subsentry:          67
% 0.75/1.15  literals s-matched: 67
% 0.75/1.15  literals matched:   67
% 0.75/1.15  full subsumption:   0
% 0.75/1.15  
% 0.75/1.15  checksum:           139218942
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Bliksem ended
%------------------------------------------------------------------------------