TSTP Solution File: COL070-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL070-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n032.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 00:12:35 EDT 2022

% Result   : Unsatisfiable 0.52s 0.91s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : COL070-1 : TPTP v8.1.0. Released v1.2.0.
% 0.09/0.10  % Command  : bliksem %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % DateTime : Tue May 31 12:40:28 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.52/0.91  *** allocated 10000 integers for termspace/termends
% 0.52/0.91  *** allocated 10000 integers for clauses
% 0.52/0.91  *** allocated 10000 integers for justifications
% 0.52/0.91  Bliksem 1.12
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  Automatic Strategy Selection
% 0.52/0.91  
% 0.52/0.91  Clauses:
% 0.52/0.91  [
% 0.52/0.91     [ =( apply( apply( apply( n1, X ), Y ), Z ), apply( apply( apply( X, Y )
% 0.52/0.91    , Y ), Z ) ) ],
% 0.52/0.91     [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.52/0.91     ],
% 0.52/0.91     [ ~( =( X, apply( combinator, X ) ) ) ]
% 0.52/0.91  ] .
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  percentage equality = 1.000000, percentage horn = 1.000000
% 0.52/0.91  This is a pure equality problem
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  Options Used:
% 0.52/0.91  
% 0.52/0.91  useres =            1
% 0.52/0.91  useparamod =        1
% 0.52/0.91  useeqrefl =         1
% 0.52/0.91  useeqfact =         1
% 0.52/0.91  usefactor =         1
% 0.52/0.91  usesimpsplitting =  0
% 0.52/0.91  usesimpdemod =      5
% 0.52/0.91  usesimpres =        3
% 0.52/0.91  
% 0.52/0.91  resimpinuse      =  1000
% 0.52/0.91  resimpclauses =     20000
% 0.52/0.91  substype =          eqrewr
% 0.52/0.91  backwardsubs =      1
% 0.52/0.91  selectoldest =      5
% 0.52/0.91  
% 0.52/0.91  litorderings [0] =  split
% 0.52/0.91  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.52/0.91  
% 0.52/0.91  termordering =      kbo
% 0.52/0.91  
% 0.52/0.91  litapriori =        0
% 0.52/0.91  termapriori =       1
% 0.52/0.91  litaposteriori =    0
% 0.52/0.91  termaposteriori =   0
% 0.52/0.91  demodaposteriori =  0
% 0.52/0.91  ordereqreflfact =   0
% 0.52/0.91  
% 0.52/0.91  litselect =         negord
% 0.52/0.91  
% 0.52/0.91  maxweight =         15
% 0.52/0.91  maxdepth =          30000
% 0.52/0.91  maxlength =         115
% 0.52/0.91  maxnrvars =         195
% 0.52/0.91  excuselevel =       1
% 0.52/0.91  increasemaxweight = 1
% 0.52/0.91  
% 0.52/0.91  maxselected =       10000000
% 0.52/0.91  maxnrclauses =      10000000
% 0.52/0.91  
% 0.52/0.91  showgenerated =    0
% 0.52/0.91  showkept =         0
% 0.52/0.91  showselected =     0
% 0.52/0.91  showdeleted =      0
% 0.52/0.91  showresimp =       1
% 0.52/0.91  showstatus =       2000
% 0.52/0.91  
% 0.52/0.91  prologoutput =     1
% 0.52/0.91  nrgoals =          5000000
% 0.52/0.91  totalproof =       1
% 0.52/0.91  
% 0.52/0.91  Symbols occurring in the translation:
% 0.52/0.91  
% 0.52/0.91  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.52/0.91  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.52/0.91  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.52/0.91  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.52/0.91  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.52/0.91  n1  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.52/0.91  apply  [41, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.52/0.91  b  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.52/0.91  combinator  [45, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  Starting Search:
% 0.52/0.91  
% 0.52/0.91  Resimplifying inuse:
% 0.52/0.91  Done
% 0.52/0.91  
% 0.52/0.91  Failed to find proof!
% 0.52/0.91  maxweight =   15
% 0.52/0.91  maxnrclauses = 10000000
% 0.52/0.91  Generated: 649
% 0.52/0.91  Kept: 13
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  The strategy used was not complete!
% 0.52/0.91  
% 0.52/0.91  Increased maxweight to 16
% 0.52/0.91  
% 0.52/0.91  Starting Search:
% 0.52/0.91  
% 0.52/0.91  Resimplifying inuse:
% 0.52/0.91  Done
% 0.52/0.91  
% 0.52/0.91  Failed to find proof!
% 0.52/0.91  maxweight =   16
% 0.52/0.91  maxnrclauses = 10000000
% 0.52/0.91  Generated: 649
% 0.52/0.91  Kept: 13
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  The strategy used was not complete!
% 0.52/0.91  
% 0.52/0.91  Increased maxweight to 17
% 0.52/0.91  
% 0.52/0.91  Starting Search:
% 0.52/0.91  
% 0.52/0.91  Resimplifying inuse:
% 0.52/0.91  Done
% 0.52/0.91  
% 0.52/0.91  Failed to find proof!
% 0.52/0.91  maxweight =   17
% 0.52/0.91  maxnrclauses = 10000000
% 0.52/0.91  Generated: 965
% 0.52/0.91  Kept: 16
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  The strategy used was not complete!
% 0.52/0.91  
% 0.52/0.91  Increased maxweight to 18
% 0.52/0.91  
% 0.52/0.91  Starting Search:
% 0.52/0.91  
% 0.52/0.91  Resimplifying inuse:
% 0.52/0.91  Done
% 0.52/0.91  
% 0.52/0.91  Failed to find proof!
% 0.52/0.91  maxweight =   18
% 0.52/0.91  maxnrclauses = 10000000
% 0.52/0.91  Generated: 965
% 0.52/0.91  Kept: 16
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  The strategy used was not complete!
% 0.52/0.91  
% 0.52/0.91  Increased maxweight to 19
% 0.52/0.91  
% 0.52/0.91  Starting Search:
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  Bliksems!, er is een bewijs:
% 0.52/0.91  % SZS status Unsatisfiable
% 0.52/0.91  % SZS output start Refutation
% 0.52/0.91  
% 0.52/0.91  clause( 0, [ =( apply( apply( apply( n1, X ), Y ), Z ), apply( apply( apply( 
% 0.52/0.91    X, Y ), Y ), Z ) ) ] )
% 0.52/0.91  .
% 0.52/0.91  clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 0.52/0.91    Z ) ) ) ] )
% 0.52/0.91  .
% 0.52/0.91  clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.52/0.91  .
% 0.52/0.91  clause( 9, [ =( apply( apply( apply( n1, apply( b, X ) ), Y ), Z ), apply( 
% 0.52/0.91    apply( X, apply( Y, Y ) ), Z ) ) ] )
% 0.52/0.91  .
% 0.52/0.91  clause( 22, [ =( apply( apply( apply( n1, apply( b, apply( b, X ) ) ), Y )
% 0.52/0.91    , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.52/0.91  .
% 0.52/0.91  clause( 37, [ ~( =( apply( apply( apply( n1, apply( b, apply( b, combinator
% 0.52/0.91     ) ) ), X ), Y ), apply( apply( X, X ), Y ) ) ) ] )
% 0.52/0.91  .
% 0.52/0.91  clause( 38, [] )
% 0.52/0.91  .
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  % SZS output end Refutation
% 0.52/0.91  found a proof!
% 0.52/0.91  
% 0.52/0.91  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.52/0.91  
% 0.52/0.91  initialclauses(
% 0.52/0.91  [ clause( 40, [ =( apply( apply( apply( n1, X ), Y ), Z ), apply( apply( 
% 0.52/0.91    apply( X, Y ), Y ), Z ) ) ] )
% 0.52/0.91  , clause( 41, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 0.52/0.91    Y, Z ) ) ) ] )
% 0.52/0.91  , clause( 42, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.52/0.91  ] ).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  subsumption(
% 0.52/0.91  clause( 0, [ =( apply( apply( apply( n1, X ), Y ), Z ), apply( apply( apply( 
% 0.52/0.91    X, Y ), Y ), Z ) ) ] )
% 0.52/0.91  , clause( 40, [ =( apply( apply( apply( n1, X ), Y ), Z ), apply( apply( 
% 0.52/0.91    apply( X, Y ), Y ), Z ) ) ] )
% 0.52/0.91  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.52/0.91    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  subsumption(
% 0.52/0.91  clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 0.52/0.91    Z ) ) ) ] )
% 0.52/0.91  , clause( 41, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 0.52/0.91    Y, Z ) ) ) ] )
% 0.52/0.91  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.52/0.91    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 48, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.52/0.91  , clause( 42, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  subsumption(
% 0.52/0.91  clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.52/0.91  , clause( 48, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.52/0.91  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 50, [ =( apply( apply( apply( X, Y ), Y ), Z ), apply( apply( apply( 
% 0.52/0.91    n1, X ), Y ), Z ) ) ] )
% 0.52/0.91  , clause( 0, [ =( apply( apply( apply( n1, X ), Y ), Z ), apply( apply( 
% 0.52/0.91    apply( X, Y ), Y ), Z ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  paramod(
% 0.52/0.91  clause( 62, [ =( apply( apply( X, apply( Y, Y ) ), Z ), apply( apply( apply( 
% 0.52/0.91    n1, apply( b, X ) ), Y ), Z ) ) ] )
% 0.52/0.91  , clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.52/0.91    , Z ) ) ) ] )
% 0.52/0.91  , 0, clause( 50, [ =( apply( apply( apply( X, Y ), Y ), Z ), apply( apply( 
% 0.52/0.91    apply( n1, X ), Y ), Z ) ) ] )
% 0.52/0.91  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ), 
% 0.52/0.91    substitution( 1, [ :=( X, apply( b, X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 65, [ =( apply( apply( apply( n1, apply( b, X ) ), Y ), Z ), apply( 
% 0.52/0.91    apply( X, apply( Y, Y ) ), Z ) ) ] )
% 0.52/0.91  , clause( 62, [ =( apply( apply( X, apply( Y, Y ) ), Z ), apply( apply( 
% 0.52/0.91    apply( n1, apply( b, X ) ), Y ), Z ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  subsumption(
% 0.52/0.91  clause( 9, [ =( apply( apply( apply( n1, apply( b, X ) ), Y ), Z ), apply( 
% 0.52/0.91    apply( X, apply( Y, Y ) ), Z ) ) ] )
% 0.52/0.91  , clause( 65, [ =( apply( apply( apply( n1, apply( b, X ) ), Y ), Z ), 
% 0.52/0.91    apply( apply( X, apply( Y, Y ) ), Z ) ) ] )
% 0.52/0.91  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.52/0.91    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 67, [ =( apply( apply( X, apply( Y, Y ) ), Z ), apply( apply( apply( 
% 0.52/0.91    n1, apply( b, X ) ), Y ), Z ) ) ] )
% 0.52/0.91  , clause( 9, [ =( apply( apply( apply( n1, apply( b, X ) ), Y ), Z ), apply( 
% 0.52/0.91    apply( X, apply( Y, Y ) ), Z ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 68, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.52/0.91     ), Z ) ) ] )
% 0.52/0.91  , clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.52/0.91    , Z ) ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  paramod(
% 0.52/0.91  clause( 71, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply( apply( 
% 0.52/0.91    n1, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.52/0.91  , clause( 67, [ =( apply( apply( X, apply( Y, Y ) ), Z ), apply( apply( 
% 0.52/0.91    apply( n1, apply( b, X ) ), Y ), Z ) ) ] )
% 0.52/0.91  , 0, clause( 68, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.52/0.91     ), Y ), Z ) ) ] )
% 0.52/0.91  , 0, 8, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y ), :=( Z, Z )] )
% 0.52/0.91    , substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Y ) ), :=( Z, Z )] )
% 0.52/0.91    ).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 76, [ =( apply( apply( apply( n1, apply( b, apply( b, X ) ) ), Y )
% 0.52/0.91    , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.52/0.91  , clause( 71, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply( 
% 0.52/0.91    apply( n1, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  subsumption(
% 0.52/0.91  clause( 22, [ =( apply( apply( apply( n1, apply( b, apply( b, X ) ) ), Y )
% 0.52/0.91    , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.52/0.91  , clause( 76, [ =( apply( apply( apply( n1, apply( b, apply( b, X ) ) ), Y
% 0.52/0.91     ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.52/0.91  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.52/0.91    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 79, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply( apply( 
% 0.52/0.91    n1, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.52/0.91  , clause( 22, [ =( apply( apply( apply( n1, apply( b, apply( b, X ) ) ), Y
% 0.52/0.91     ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 80, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.52/0.91  , clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  paramod(
% 0.52/0.91  clause( 81, [ ~( =( apply( apply( X, X ), Y ), apply( apply( apply( n1, 
% 0.52/0.91    apply( b, apply( b, combinator ) ) ), X ), Y ) ) ) ] )
% 0.52/0.91  , clause( 79, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply( 
% 0.52/0.91    apply( n1, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.52/0.91  , 0, clause( 80, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.52/0.91  , 0, 7, substitution( 0, [ :=( X, combinator ), :=( Y, X ), :=( Z, Y )] ), 
% 0.52/0.91    substitution( 1, [ :=( X, apply( apply( X, X ), Y ) )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 82, [ ~( =( apply( apply( apply( n1, apply( b, apply( b, combinator
% 0.52/0.91     ) ) ), X ), Y ), apply( apply( X, X ), Y ) ) ) ] )
% 0.52/0.91  , clause( 81, [ ~( =( apply( apply( X, X ), Y ), apply( apply( apply( n1, 
% 0.52/0.91    apply( b, apply( b, combinator ) ) ), X ), Y ) ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  subsumption(
% 0.52/0.91  clause( 37, [ ~( =( apply( apply( apply( n1, apply( b, apply( b, combinator
% 0.52/0.91     ) ) ), X ), Y ), apply( apply( X, X ), Y ) ) ) ] )
% 0.52/0.91  , clause( 82, [ ~( =( apply( apply( apply( n1, apply( b, apply( b, 
% 0.52/0.91    combinator ) ) ), X ), Y ), apply( apply( X, X ), Y ) ) ) ] )
% 0.52/0.91  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/0.91     )] ) ).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqswap(
% 0.52/0.91  clause( 83, [ ~( =( apply( apply( X, X ), Y ), apply( apply( apply( n1, 
% 0.52/0.91    apply( b, apply( b, combinator ) ) ), X ), Y ) ) ) ] )
% 0.52/0.91  , clause( 37, [ ~( =( apply( apply( apply( n1, apply( b, apply( b, 
% 0.52/0.91    combinator ) ) ), X ), Y ), apply( apply( X, X ), Y ) ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  eqrefl(
% 0.52/0.91  clause( 84, [] )
% 0.52/0.91  , clause( 83, [ ~( =( apply( apply( X, X ), Y ), apply( apply( apply( n1, 
% 0.52/0.91    apply( b, apply( b, combinator ) ) ), X ), Y ) ) ) ] )
% 0.52/0.91  , 0, substitution( 0, [ :=( X, apply( n1, apply( b, apply( b, combinator )
% 0.52/0.91     ) ) ), :=( Y, X )] )).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  subsumption(
% 0.52/0.91  clause( 38, [] )
% 0.52/0.91  , clause( 84, [] )
% 0.52/0.91  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  end.
% 0.52/0.91  
% 0.52/0.91  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.52/0.91  
% 0.52/0.91  Memory use:
% 0.52/0.91  
% 0.52/0.91  space for terms:        761
% 0.52/0.91  space for clauses:      5498
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  clauses generated:      1886
% 0.52/0.91  clauses kept:           39
% 0.52/0.91  clauses selected:       26
% 0.52/0.91  clauses deleted:        1
% 0.52/0.91  clauses inuse deleted:  0
% 0.52/0.91  
% 0.52/0.91  subsentry:          282
% 0.52/0.91  literals s-matched: 137
% 0.52/0.91  literals matched:   137
% 0.52/0.91  full subsumption:   0
% 0.52/0.91  
% 0.52/0.91  checksum:           1955621588
% 0.52/0.91  
% 0.52/0.91  
% 0.52/0.91  Bliksem ended
%------------------------------------------------------------------------------