TSTP Solution File: LCL172-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL172-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : Sun Jul 17 07:51:13 EDT 2022

% Result   : Unsatisfiable 1.62s 2.01s
% Output   : Refutation 1.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL172-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Sun Jul  3 00:18:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.62/2.01  *** allocated 10000 integers for termspace/termends
% 1.62/2.01  *** allocated 10000 integers for clauses
% 1.62/2.01  *** allocated 10000 integers for justifications
% 1.62/2.01  Bliksem 1.12
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Automatic Strategy Selection
% 1.62/2.01  
% 1.62/2.01  Clauses:
% 1.62/2.01  [
% 1.62/2.01     [ axiom( implies( or( X, X ), X ) ) ],
% 1.62/2.01     [ axiom( implies( X, or( Y, X ) ) ) ],
% 1.62/2.01     [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ],
% 1.62/2.01     [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ],
% 1.62/2.01     [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y ) ) ) )
% 1.62/2.01     ],
% 1.62/2.01     [ =( implies( X, Y ), or( not( X ), Y ) ) ],
% 1.62/2.01     [ theorem( X ), ~( axiom( X ) ) ],
% 1.62/2.01     [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y ) ) ]
% 1.62/2.01    ,
% 1.62/2.01     [ ~( theorem( implies( implies( p, implies( q, r ) ), implies( q, 
% 1.62/2.01    implies( p, r ) ) ) ) ) ]
% 1.62/2.01  ] .
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  percentage equality = 0.083333, percentage horn = 1.000000
% 1.62/2.01  This is a problem with some equality
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Options Used:
% 1.62/2.01  
% 1.62/2.01  useres =            1
% 1.62/2.01  useparamod =        1
% 1.62/2.01  useeqrefl =         1
% 1.62/2.01  useeqfact =         1
% 1.62/2.01  usefactor =         1
% 1.62/2.01  usesimpsplitting =  0
% 1.62/2.01  usesimpdemod =      5
% 1.62/2.01  usesimpres =        3
% 1.62/2.01  
% 1.62/2.01  resimpinuse      =  1000
% 1.62/2.01  resimpclauses =     20000
% 1.62/2.01  substype =          eqrewr
% 1.62/2.01  backwardsubs =      1
% 1.62/2.01  selectoldest =      5
% 1.62/2.01  
% 1.62/2.01  litorderings [0] =  split
% 1.62/2.01  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.62/2.01  
% 1.62/2.01  termordering =      kbo
% 1.62/2.01  
% 1.62/2.01  litapriori =        0
% 1.62/2.01  termapriori =       1
% 1.62/2.01  litaposteriori =    0
% 1.62/2.01  termaposteriori =   0
% 1.62/2.01  demodaposteriori =  0
% 1.62/2.01  ordereqreflfact =   0
% 1.62/2.01  
% 1.62/2.01  litselect =         negord
% 1.62/2.01  
% 1.62/2.01  maxweight =         15
% 1.62/2.01  maxdepth =          30000
% 1.62/2.01  maxlength =         115
% 1.62/2.01  maxnrvars =         195
% 1.62/2.01  excuselevel =       1
% 1.62/2.01  increasemaxweight = 1
% 1.62/2.01  
% 1.62/2.01  maxselected =       10000000
% 1.62/2.01  maxnrclauses =      10000000
% 1.62/2.01  
% 1.62/2.01  showgenerated =    0
% 1.62/2.01  showkept =         0
% 1.62/2.01  showselected =     0
% 1.62/2.01  showdeleted =      0
% 1.62/2.01  showresimp =       1
% 1.62/2.01  showstatus =       2000
% 1.62/2.01  
% 1.62/2.01  prologoutput =     1
% 1.62/2.01  nrgoals =          5000000
% 1.62/2.01  totalproof =       1
% 1.62/2.01  
% 1.62/2.01  Symbols occurring in the translation:
% 1.62/2.01  
% 1.62/2.01  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.62/2.01  .  [1, 2]      (w:1, o:25, a:1, s:1, b:0), 
% 1.62/2.01  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 1.62/2.01  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.62/2.01  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.62/2.01  or  [40, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 1.62/2.01  implies  [41, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 1.62/2.01  axiom  [42, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 1.62/2.01  not  [47, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 1.62/2.01  theorem  [48, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 1.62/2.01  p  [49, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 1.62/2.01  q  [50, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 1.62/2.01  r  [51, 0]      (w:1, o:16, a:1, s:1, b:0).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Starting Search:
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Intermediate Status:
% 1.62/2.01  Generated:    3757
% 1.62/2.01  Kept:         2015
% 1.62/2.01  Inuse:        122
% 1.62/2.01  Deleted:      0
% 1.62/2.01  Deletedinuse: 0
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Intermediate Status:
% 1.62/2.01  Generated:    8132
% 1.62/2.01  Kept:         4055
% 1.62/2.01  Inuse:        182
% 1.62/2.01  Deleted:      0
% 1.62/2.01  Deletedinuse: 0
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Intermediate Status:
% 1.62/2.01  Generated:    12998
% 1.62/2.01  Kept:         6151
% 1.62/2.01  Inuse:        231
% 1.62/2.01  Deleted:      0
% 1.62/2.01  Deletedinuse: 0
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Intermediate Status:
% 1.62/2.01  Generated:    17508
% 1.62/2.01  Kept:         8243
% 1.62/2.01  Inuse:        272
% 1.62/2.01  Deleted:      0
% 1.62/2.01  Deletedinuse: 0
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Intermediate Status:
% 1.62/2.01  Generated:    22807
% 1.62/2.01  Kept:         10286
% 1.62/2.01  Inuse:        325
% 1.62/2.01  Deleted:      0
% 1.62/2.01  Deletedinuse: 0
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Intermediate Status:
% 1.62/2.01  Generated:    27986
% 1.62/2.01  Kept:         12314
% 1.62/2.01  Inuse:        363
% 1.62/2.01  Deleted:      0
% 1.62/2.01  Deletedinuse: 0
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Intermediate Status:
% 1.62/2.01  Generated:    32379
% 1.62/2.01  Kept:         14374
% 1.62/2.01  Inuse:        386
% 1.62/2.01  Deleted:      0
% 1.62/2.01  Deletedinuse: 0
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Intermediate Status:
% 1.62/2.01  Generated:    39803
% 1.62/2.01  Kept:         16381
% 1.62/2.01  Inuse:        443
% 1.62/2.01  Deleted:      0
% 1.62/2.01  Deletedinuse: 0
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Intermediate Status:
% 1.62/2.01  Generated:    43150
% 1.62/2.01  Kept:         18382
% 1.62/2.01  Inuse:        474
% 1.62/2.01  Deleted:      0
% 1.62/2.01  Deletedinuse: 0
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying inuse:
% 1.62/2.01  Done
% 1.62/2.01  
% 1.62/2.01  Resimplifying clauses:
% 1.62/2.01  
% 1.62/2.01  Bliksems!, er is een bewijs:
% 1.62/2.01  % SZS status Unsatisfiable
% 1.62/2.01  % SZS output start Refutation
% 1.62/2.01  
% 1.62/2.01  clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 1.62/2.01     )
% 1.62/2.01  .
% 1.62/2.01  clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.62/2.01  .
% 1.62/2.01  clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.62/2.01  .
% 1.62/2.01  clause( 8, [ ~( theorem( implies( implies( p, implies( q, r ) ), implies( q
% 1.62/2.01    , implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  .
% 1.62/2.01  clause( 124, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 1.62/2.01    , Z ) ) ) ) ] )
% 1.62/2.01  .
% 1.62/2.01  clause( 168, [ ~( axiom( implies( implies( p, implies( q, r ) ), implies( q
% 1.62/2.01    , implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  .
% 1.62/2.01  clause( 16484, [ axiom( implies( implies( Z, implies( X, Y ) ), implies( X
% 1.62/2.01    , implies( Z, Y ) ) ) ) ] )
% 1.62/2.01  .
% 1.62/2.01  clause( 20055, [] )
% 1.62/2.01  .
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  % SZS output end Refutation
% 1.62/2.01  found a proof!
% 1.62/2.01  
% 1.62/2.01  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.62/2.01  
% 1.62/2.01  initialclauses(
% 1.62/2.01  [ clause( 20057, [ axiom( implies( or( X, X ), X ) ) ] )
% 1.62/2.01  , clause( 20058, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 1.62/2.01  , clause( 20059, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 1.62/2.01  , clause( 20060, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 1.62/2.01     ) ) ] )
% 1.62/2.01  , clause( 20061, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( 
% 1.62/2.01    Z, Y ) ) ) ) ] )
% 1.62/2.01  , clause( 20062, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 1.62/2.01  , clause( 20063, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.62/2.01  , clause( 20064, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( 
% 1.62/2.01    theorem( Y ) ) ] )
% 1.62/2.01  , clause( 20065, [ ~( theorem( implies( implies( p, implies( q, r ) ), 
% 1.62/2.01    implies( q, implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  ] ).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  subsumption(
% 1.62/2.01  clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 1.62/2.01     )
% 1.62/2.01  , clause( 20060, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 1.62/2.01     ) ) ] )
% 1.62/2.01  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 1.62/2.01    permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  eqswap(
% 1.62/2.01  clause( 20066, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.62/2.01  , clause( 20062, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 1.62/2.01  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  subsumption(
% 1.62/2.01  clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.62/2.01  , clause( 20066, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.62/2.01  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.62/2.01     )] ) ).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  subsumption(
% 1.62/2.01  clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.62/2.01  , clause( 20063, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.62/2.01  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 1.62/2.01    1 )] ) ).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  subsumption(
% 1.62/2.01  clause( 8, [ ~( theorem( implies( implies( p, implies( q, r ) ), implies( q
% 1.62/2.01    , implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  , clause( 20065, [ ~( theorem( implies( implies( p, implies( q, r ) ), 
% 1.62/2.01    implies( q, implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  paramod(
% 1.62/2.01  clause( 20074, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y, implies( 
% 1.62/2.01    X, Z ) ) ) ) ] )
% 1.62/2.01  , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.62/2.01  , 0, clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 1.62/2.01     ) ) ] )
% 1.62/2.01  , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [ 
% 1.62/2.01    :=( X, not( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  paramod(
% 1.62/2.01  clause( 20077, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( 
% 1.62/2.01    X, Z ) ) ) ) ] )
% 1.62/2.01  , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.62/2.01  , 0, clause( 20074, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y, 
% 1.62/2.01    implies( X, Z ) ) ) ) ] )
% 1.62/2.01  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) )] ), 
% 1.62/2.01    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  subsumption(
% 1.62/2.01  clause( 124, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 1.62/2.01    , Z ) ) ) ) ] )
% 1.62/2.01  , clause( 20077, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( 
% 1.62/2.01    X, Z ) ) ) ) ] )
% 1.62/2.01  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 1.62/2.01    permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  resolution(
% 1.62/2.01  clause( 20078, [ ~( axiom( implies( implies( p, implies( q, r ) ), implies( 
% 1.62/2.01    q, implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  , clause( 8, [ ~( theorem( implies( implies( p, implies( q, r ) ), implies( 
% 1.62/2.01    q, implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  , 0, clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 1.62/2.01  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, implies( implies( p, 
% 1.62/2.01    implies( q, r ) ), implies( q, implies( p, r ) ) ) )] )).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  subsumption(
% 1.62/2.01  clause( 168, [ ~( axiom( implies( implies( p, implies( q, r ) ), implies( q
% 1.62/2.01    , implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  , clause( 20078, [ ~( axiom( implies( implies( p, implies( q, r ) ), 
% 1.62/2.01    implies( q, implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  paramod(
% 1.62/2.01  clause( 20082, [ axiom( implies( implies( X, or( not( Y ), Z ) ), implies( 
% 1.62/2.01    Y, implies( X, Z ) ) ) ) ] )
% 1.62/2.01  , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.62/2.01  , 0, clause( 124, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, 
% 1.62/2.01    implies( X, Z ) ) ) ) ] )
% 1.62/2.01  , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Z ) )] ), 
% 1.62/2.01    substitution( 1, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, Z )] )).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  paramod(
% 1.62/2.01  clause( 20084, [ axiom( implies( implies( X, implies( Y, Z ) ), implies( Y
% 1.62/2.01    , implies( X, Z ) ) ) ) ] )
% 1.62/2.01  , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 1.62/2.01  , 0, clause( 20082, [ axiom( implies( implies( X, or( not( Y ), Z ) ), 
% 1.62/2.01    implies( Y, implies( X, Z ) ) ) ) ] )
% 1.62/2.01  , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 1.62/2.01    :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  subsumption(
% 1.62/2.01  clause( 16484, [ axiom( implies( implies( Z, implies( X, Y ) ), implies( X
% 1.62/2.01    , implies( Z, Y ) ) ) ) ] )
% 1.62/2.01  , clause( 20084, [ axiom( implies( implies( X, implies( Y, Z ) ), implies( 
% 1.62/2.01    Y, implies( X, Z ) ) ) ) ] )
% 1.62/2.01  , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 1.62/2.01    permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  resolution(
% 1.62/2.01  clause( 20085, [] )
% 1.62/2.01  , clause( 168, [ ~( axiom( implies( implies( p, implies( q, r ) ), implies( 
% 1.62/2.01    q, implies( p, r ) ) ) ) ) ] )
% 1.62/2.01  , 0, clause( 16484, [ axiom( implies( implies( Z, implies( X, Y ) ), 
% 1.62/2.01    implies( X, implies( Z, Y ) ) ) ) ] )
% 1.62/2.01  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, q ), :=( Y, r ), :=( 
% 1.62/2.01    Z, p )] )).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  subsumption(
% 1.62/2.01  clause( 20055, [] )
% 1.62/2.01  , clause( 20085, [] )
% 1.62/2.01  , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  end.
% 1.62/2.01  
% 1.62/2.01  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.62/2.01  
% 1.62/2.01  Memory use:
% 1.62/2.01  
% 1.62/2.01  space for terms:        304321
% 1.62/2.01  space for clauses:      910893
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  clauses generated:      46193
% 1.62/2.01  clauses kept:           20056
% 1.62/2.01  clauses selected:       494
% 1.62/2.01  clauses deleted:        61
% 1.62/2.01  clauses inuse deleted:  0
% 1.62/2.01  
% 1.62/2.01  subsentry:          954034
% 1.62/2.01  literals s-matched: 411756
% 1.62/2.01  literals matched:   383290
% 1.62/2.01  full subsumption:   172196
% 1.62/2.01  
% 1.62/2.01  checksum:           -1588713311
% 1.62/2.01  
% 1.62/2.01  
% 1.62/2.01  Bliksem ended
%------------------------------------------------------------------------------