TSTP Solution File: COL020-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL020-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n021.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 00:12:24 EDT 2022

% Result   : Unsatisfiable 0.46s 1.18s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Tue May 31 04:38:29 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.46/1.18  *** allocated 10000 integers for termspace/termends
% 0.46/1.18  *** allocated 10000 integers for clauses
% 0.46/1.18  *** allocated 10000 integers for justifications
% 0.46/1.18  Bliksem 1.12
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  Automatic Strategy Selection
% 0.46/1.18  
% 0.46/1.18  Clauses:
% 0.46/1.18  [
% 0.46/1.18     [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z ), apply( 
% 0.46/1.18    Y, Z ) ) ) ],
% 0.46/1.18     [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.46/1.18     ],
% 0.46/1.18     [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z ), Y ) )
% 0.46/1.18     ],
% 0.46/1.18     [ ~( =( X, apply( combinator, X ) ) ) ]
% 0.46/1.18  ] .
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  percentage equality = 1.000000, percentage horn = 1.000000
% 0.46/1.18  This is a pure equality problem
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  Options Used:
% 0.46/1.18  
% 0.46/1.18  useres =            1
% 0.46/1.18  useparamod =        1
% 0.46/1.18  useeqrefl =         1
% 0.46/1.18  useeqfact =         1
% 0.46/1.18  usefactor =         1
% 0.46/1.18  usesimpsplitting =  0
% 0.46/1.18  usesimpdemod =      5
% 0.46/1.18  usesimpres =        3
% 0.46/1.18  
% 0.46/1.18  resimpinuse      =  1000
% 0.46/1.18  resimpclauses =     20000
% 0.46/1.18  substype =          eqrewr
% 0.46/1.18  backwardsubs =      1
% 0.46/1.18  selectoldest =      5
% 0.46/1.18  
% 0.46/1.18  litorderings [0] =  split
% 0.46/1.18  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.46/1.18  
% 0.46/1.18  termordering =      kbo
% 0.46/1.18  
% 0.46/1.18  litapriori =        0
% 0.46/1.18  termapriori =       1
% 0.46/1.18  litaposteriori =    0
% 0.46/1.18  termaposteriori =   0
% 0.46/1.18  demodaposteriori =  0
% 0.46/1.18  ordereqreflfact =   0
% 0.46/1.18  
% 0.46/1.18  litselect =         negord
% 0.46/1.18  
% 0.46/1.18  maxweight =         15
% 0.46/1.18  maxdepth =          30000
% 0.46/1.18  maxlength =         115
% 0.46/1.18  maxnrvars =         195
% 0.46/1.18  excuselevel =       1
% 0.46/1.18  increasemaxweight = 1
% 0.46/1.18  
% 0.46/1.18  maxselected =       10000000
% 0.46/1.18  maxnrclauses =      10000000
% 0.46/1.18  
% 0.46/1.18  showgenerated =    0
% 0.46/1.18  showkept =         0
% 0.46/1.18  showselected =     0
% 0.46/1.18  showdeleted =      0
% 0.46/1.18  showresimp =       1
% 0.46/1.18  showstatus =       2000
% 0.46/1.18  
% 0.46/1.18  prologoutput =     1
% 0.46/1.18  nrgoals =          5000000
% 0.46/1.18  totalproof =       1
% 0.46/1.18  
% 0.46/1.18  Symbols occurring in the translation:
% 0.46/1.18  
% 0.46/1.18  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.46/1.18  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.46/1.18  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.46/1.18  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.18  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.18  s  [39, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.46/1.18  apply  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.46/1.18  b  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.46/1.18  c  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.46/1.18  combinator  [46, 0]      (w:1, o:15, a:1, s:1, b:0).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  Starting Search:
% 0.46/1.18  
% 0.46/1.18  Resimplifying inuse:
% 0.46/1.18  Done
% 0.46/1.18  
% 0.46/1.18  Failed to find proof!
% 0.46/1.18  maxweight =   15
% 0.46/1.18  maxnrclauses = 10000000
% 0.46/1.18  Generated: 2383
% 0.46/1.18  Kept: 20
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  The strategy used was not complete!
% 0.46/1.18  
% 0.46/1.18  Increased maxweight to 16
% 0.46/1.18  
% 0.46/1.18  Starting Search:
% 0.46/1.18  
% 0.46/1.18  Resimplifying inuse:
% 0.46/1.18  Done
% 0.46/1.18  
% 0.46/1.18  Failed to find proof!
% 0.46/1.18  maxweight =   16
% 0.46/1.18  maxnrclauses = 10000000
% 0.46/1.18  Generated: 2383
% 0.46/1.18  Kept: 20
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  The strategy used was not complete!
% 0.46/1.18  
% 0.46/1.18  Increased maxweight to 17
% 0.46/1.18  
% 0.46/1.18  Starting Search:
% 0.46/1.18  
% 0.46/1.18  Resimplifying inuse:
% 0.46/1.18  Done
% 0.46/1.18  
% 0.46/1.18  Failed to find proof!
% 0.46/1.18  maxweight =   17
% 0.46/1.18  maxnrclauses = 10000000
% 0.46/1.18  Generated: 2491
% 0.46/1.18  Kept: 22
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  The strategy used was not complete!
% 0.46/1.18  
% 0.46/1.18  Increased maxweight to 18
% 0.46/1.18  
% 0.46/1.18  Starting Search:
% 0.46/1.18  
% 0.46/1.18  Resimplifying inuse:
% 0.46/1.18  Done
% 0.46/1.18  
% 0.46/1.18  Failed to find proof!
% 0.46/1.18  maxweight =   18
% 0.46/1.18  maxnrclauses = 10000000
% 0.46/1.18  Generated: 2491
% 0.46/1.18  Kept: 22
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  The strategy used was not complete!
% 0.46/1.18  
% 0.46/1.18  Increased maxweight to 19
% 0.46/1.18  
% 0.46/1.18  Starting Search:
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  Bliksems!, er is een bewijs:
% 0.46/1.18  % SZS status Unsatisfiable
% 0.46/1.18  % SZS output start Refutation
% 0.46/1.18  
% 0.46/1.18  clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.46/1.18    , apply( Y, Z ) ) ) ] )
% 0.46/1.18  .
% 0.46/1.18  clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 0.46/1.18    Z ) ) ) ] )
% 0.46/1.18  .
% 0.46/1.18  clause( 2, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z )
% 0.46/1.18    , Y ) ) ] )
% 0.46/1.18  .
% 0.46/1.18  clause( 3, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.46/1.18  .
% 0.46/1.18  clause( 14, [ =( apply( apply( apply( s, apply( c, X ) ), Z ), Y ), apply( 
% 0.46/1.18    apply( X, apply( Z, Y ) ), Y ) ) ] )
% 0.46/1.18  .
% 0.46/1.18  clause( 27, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), Y ), 
% 0.46/1.18    Z ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.46/1.18  .
% 0.46/1.18  clause( 45, [ ~( =( apply( apply( apply( s, apply( c, apply( b, combinator
% 0.46/1.18     ) ) ), X ), Y ), apply( apply( X, Y ), Y ) ) ) ] )
% 0.46/1.18  .
% 0.46/1.18  clause( 46, [] )
% 0.46/1.18  .
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  % SZS output end Refutation
% 0.46/1.18  found a proof!
% 0.46/1.18  
% 0.46/1.18  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.18  
% 0.46/1.18  initialclauses(
% 0.46/1.18  [ clause( 48, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, 
% 0.46/1.18    Z ), apply( Y, Z ) ) ) ] )
% 0.46/1.18  , clause( 49, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 0.46/1.18    Y, Z ) ) ) ] )
% 0.46/1.18  , clause( 50, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, 
% 0.46/1.18    Z ), Y ) ) ] )
% 0.46/1.18  , clause( 51, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.46/1.18  ] ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  subsumption(
% 0.46/1.18  clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.46/1.18    , apply( Y, Z ) ) ) ] )
% 0.46/1.18  , clause( 48, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, 
% 0.46/1.18    Z ), apply( Y, Z ) ) ) ] )
% 0.46/1.18  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.46/1.18    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  subsumption(
% 0.46/1.18  clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 0.46/1.18    Z ) ) ) ] )
% 0.46/1.18  , clause( 49, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 0.46/1.18    Y, Z ) ) ) ] )
% 0.46/1.18  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.46/1.18    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  subsumption(
% 0.46/1.18  clause( 2, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z )
% 0.46/1.18    , Y ) ) ] )
% 0.46/1.18  , clause( 50, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, 
% 0.46/1.18    Z ), Y ) ) ] )
% 0.46/1.18  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.46/1.18    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 61, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.46/1.18  , clause( 51, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  subsumption(
% 0.46/1.18  clause( 3, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.46/1.18  , clause( 61, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.46/1.18  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 62, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply( apply( 
% 0.46/1.18    s, X ), Y ), Z ) ) ] )
% 0.46/1.18  , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.46/1.18     ), apply( Y, Z ) ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 63, [ =( apply( apply( X, Z ), Y ), apply( apply( apply( c, X ), Y
% 0.46/1.18     ), Z ) ) ] )
% 0.46/1.18  , clause( 2, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z
% 0.46/1.18     ), Y ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  paramod(
% 0.46/1.18  clause( 66, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( apply( 
% 0.46/1.18    s, apply( c, X ) ), Y ), Z ) ) ] )
% 0.46/1.18  , clause( 62, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply( 
% 0.46/1.18    apply( s, X ), Y ), Z ) ) ] )
% 0.46/1.18  , 0, clause( 63, [ =( apply( apply( X, Z ), Y ), apply( apply( apply( c, X
% 0.46/1.18     ), Y ), Z ) ) ] )
% 0.46/1.18  , 0, 8, substitution( 0, [ :=( X, apply( c, X ) ), :=( Y, Y ), :=( Z, Z )] )
% 0.46/1.18    , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, apply( Y, Z ) )] )
% 0.46/1.18    ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 70, [ =( apply( apply( apply( s, apply( c, X ) ), Y ), Z ), apply( 
% 0.46/1.18    apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.46/1.18  , clause( 66, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( 
% 0.46/1.18    apply( s, apply( c, X ) ), Y ), Z ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  subsumption(
% 0.46/1.18  clause( 14, [ =( apply( apply( apply( s, apply( c, X ) ), Z ), Y ), apply( 
% 0.46/1.18    apply( X, apply( Z, Y ) ), Y ) ) ] )
% 0.46/1.18  , clause( 70, [ =( apply( apply( apply( s, apply( c, X ) ), Y ), Z ), apply( 
% 0.46/1.18    apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.46/1.18  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.46/1.18    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 72, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( apply( 
% 0.46/1.18    s, apply( c, X ) ), Y ), Z ) ) ] )
% 0.46/1.18  , clause( 14, [ =( apply( apply( apply( s, apply( c, X ) ), Z ), Y ), apply( 
% 0.46/1.18    apply( X, apply( Z, Y ) ), Y ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 73, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.46/1.18     ), Z ) ) ] )
% 0.46/1.18  , clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.46/1.18    , Z ) ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  paramod(
% 0.46/1.18  clause( 76, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( apply( 
% 0.46/1.18    s, apply( c, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.46/1.18  , clause( 72, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( 
% 0.46/1.18    apply( s, apply( c, X ) ), Y ), Z ) ) ] )
% 0.46/1.18  , 0, clause( 73, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.46/1.18     ), Y ), Z ) ) ] )
% 0.46/1.18  , 0, 8, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y ), :=( Z, Z )] )
% 0.46/1.18    , substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Z ) ), :=( Z, Z )] )
% 0.46/1.18    ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 80, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), Y ), 
% 0.46/1.18    Z ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.46/1.18  , clause( 76, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( 
% 0.46/1.18    apply( s, apply( c, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  subsumption(
% 0.46/1.18  clause( 27, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), Y ), 
% 0.46/1.18    Z ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.46/1.18  , clause( 80, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), Y )
% 0.46/1.18    , Z ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.46/1.18  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.46/1.18    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 82, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( apply( 
% 0.46/1.18    s, apply( c, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.46/1.18  , clause( 27, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), Y )
% 0.46/1.18    , Z ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 83, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.46/1.18  , clause( 3, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  paramod(
% 0.46/1.18  clause( 84, [ ~( =( apply( apply( X, Y ), Y ), apply( apply( apply( s, 
% 0.46/1.18    apply( c, apply( b, combinator ) ) ), X ), Y ) ) ) ] )
% 0.46/1.18  , clause( 82, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( 
% 0.46/1.18    apply( s, apply( c, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.46/1.18  , 0, clause( 83, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.46/1.18  , 0, 7, substitution( 0, [ :=( X, combinator ), :=( Y, X ), :=( Z, Y )] ), 
% 0.46/1.18    substitution( 1, [ :=( X, apply( apply( X, Y ), Y ) )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 85, [ ~( =( apply( apply( apply( s, apply( c, apply( b, combinator
% 0.46/1.18     ) ) ), X ), Y ), apply( apply( X, Y ), Y ) ) ) ] )
% 0.46/1.18  , clause( 84, [ ~( =( apply( apply( X, Y ), Y ), apply( apply( apply( s, 
% 0.46/1.18    apply( c, apply( b, combinator ) ) ), X ), Y ) ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  subsumption(
% 0.46/1.18  clause( 45, [ ~( =( apply( apply( apply( s, apply( c, apply( b, combinator
% 0.46/1.18     ) ) ), X ), Y ), apply( apply( X, Y ), Y ) ) ) ] )
% 0.46/1.18  , clause( 85, [ ~( =( apply( apply( apply( s, apply( c, apply( b, 
% 0.46/1.18    combinator ) ) ), X ), Y ), apply( apply( X, Y ), Y ) ) ) ] )
% 0.46/1.18  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.18     )] ) ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqswap(
% 0.46/1.18  clause( 86, [ ~( =( apply( apply( X, Y ), Y ), apply( apply( apply( s, 
% 0.46/1.18    apply( c, apply( b, combinator ) ) ), X ), Y ) ) ) ] )
% 0.46/1.18  , clause( 45, [ ~( =( apply( apply( apply( s, apply( c, apply( b, 
% 0.46/1.18    combinator ) ) ), X ), Y ), apply( apply( X, Y ), Y ) ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  eqrefl(
% 0.46/1.18  clause( 87, [] )
% 0.46/1.18  , clause( 86, [ ~( =( apply( apply( X, Y ), Y ), apply( apply( apply( s, 
% 0.46/1.18    apply( c, apply( b, combinator ) ) ), X ), Y ) ) ) ] )
% 0.46/1.18  , 0, substitution( 0, [ :=( X, apply( s, apply( c, apply( b, combinator ) )
% 0.46/1.18     ) ), :=( Y, apply( s, apply( c, apply( b, combinator ) ) ) )] )).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  subsumption(
% 0.46/1.18  clause( 46, [] )
% 0.46/1.18  , clause( 87, [] )
% 0.46/1.18  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  end.
% 0.46/1.18  
% 0.46/1.18  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.18  
% 0.46/1.18  Memory use:
% 0.46/1.18  
% 0.46/1.18  space for terms:        976
% 0.46/1.18  space for clauses:      6604
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  clauses generated:      2372
% 0.46/1.18  clauses kept:           47
% 0.46/1.18  clauses selected:       27
% 0.46/1.18  clauses deleted:        0
% 0.46/1.18  clauses inuse deleted:  0
% 0.46/1.18  
% 0.46/1.18  subsentry:          214
% 0.46/1.18  literals s-matched: 92
% 0.46/1.18  literals matched:   92
% 0.46/1.18  full subsumption:   0
% 0.46/1.18  
% 0.46/1.18  checksum:           -914909835
% 0.46/1.18  
% 0.46/1.18  
% 0.46/1.18  Bliksem ended
%------------------------------------------------------------------------------