TSTP Solution File: LCL065-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 07:49:51 EDT 2022

% Result   : Unsatisfiable 0.96s 1.31s
% Output   : Refutation 0.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Sun Jul  3 23:57:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.96/1.31  *** allocated 10000 integers for termspace/termends
% 0.96/1.31  *** allocated 10000 integers for clauses
% 0.96/1.31  *** allocated 10000 integers for justifications
% 0.96/1.31  Bliksem 1.12
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  Automatic Strategy Selection
% 0.96/1.31  
% 0.96/1.31  Clauses:
% 0.96/1.31  [
% 0.96/1.31     [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ), 
% 0.96/1.31    'is_a_theorem'( Y ) ],
% 0.96/1.31     [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ],
% 0.96/1.31     [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), implies( 
% 0.96/1.31    implies( X, Y ), implies( X, Z ) ) ) ) ],
% 0.96/1.31     [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 0.96/1.31     ) ) ) ],
% 0.96/1.31     [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) ) ]
% 0.96/1.31  ] .
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  percentage equality = 0.000000, percentage horn = 1.000000
% 0.96/1.31  This is a near-Horn, non-equality  problem
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  Options Used:
% 0.96/1.31  
% 0.96/1.31  useres =            1
% 0.96/1.31  useparamod =        0
% 0.96/1.31  useeqrefl =         0
% 0.96/1.31  useeqfact =         0
% 0.96/1.31  usefactor =         1
% 0.96/1.31  usesimpsplitting =  0
% 0.96/1.31  usesimpdemod =      0
% 0.96/1.31  usesimpres =        4
% 0.96/1.31  
% 0.96/1.31  resimpinuse      =  1000
% 0.96/1.31  resimpclauses =     20000
% 0.96/1.31  substype =          standard
% 0.96/1.31  backwardsubs =      1
% 0.96/1.31  selectoldest =      5
% 0.96/1.31  
% 0.96/1.31  litorderings [0] =  split
% 0.96/1.31  litorderings [1] =  liftord
% 0.96/1.31  
% 0.96/1.31  termordering =      none
% 0.96/1.31  
% 0.96/1.31  litapriori =        1
% 0.96/1.31  termapriori =       0
% 0.96/1.31  litaposteriori =    0
% 0.96/1.31  termaposteriori =   0
% 0.96/1.31  demodaposteriori =  0
% 0.96/1.31  ordereqreflfact =   0
% 0.96/1.31  
% 0.96/1.31  litselect =         negative
% 0.96/1.31  
% 0.96/1.31  maxweight =         30000
% 0.96/1.31  maxdepth =          30000
% 0.96/1.31  maxlength =         115
% 0.96/1.31  maxnrvars =         195
% 0.96/1.31  excuselevel =       0
% 0.96/1.31  increasemaxweight = 0
% 0.96/1.31  
% 0.96/1.31  maxselected =       10000000
% 0.96/1.31  maxnrclauses =      10000000
% 0.96/1.31  
% 0.96/1.31  showgenerated =    0
% 0.96/1.31  showkept =         0
% 0.96/1.31  showselected =     0
% 0.96/1.31  showdeleted =      0
% 0.96/1.31  showresimp =       1
% 0.96/1.31  showstatus =       2000
% 0.96/1.31  
% 0.96/1.31  prologoutput =     1
% 0.96/1.31  nrgoals =          5000000
% 0.96/1.31  totalproof =       1
% 0.96/1.31  
% 0.96/1.31  Symbols occurring in the translation:
% 0.96/1.31  
% 0.96/1.31  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.96/1.31  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.96/1.31  !  [4, 1]      (w:1, o:13, a:1, s:1, b:0), 
% 0.96/1.31  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.96/1.31  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.96/1.31  implies  [41, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.96/1.31  'is_a_theorem'  [42, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.96/1.31  not  [44, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.96/1.31  a  [45, 0]      (w:1, o:12, a:1, s:1, b:0).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  Starting Search:
% 0.96/1.31  
% 0.96/1.31  Resimplifying inuse:
% 0.96/1.31  Done
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  Intermediate Status:
% 0.96/1.31  Generated:    10960
% 0.96/1.31  Kept:         2023
% 0.96/1.31  Inuse:        422
% 0.96/1.31  Deleted:      6
% 0.96/1.31  Deletedinuse: 1
% 0.96/1.31  
% 0.96/1.31  Resimplifying inuse:
% 0.96/1.31  Done
% 0.96/1.31  
% 0.96/1.31  Resimplifying inuse:
% 0.96/1.31  Done
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  Intermediate Status:
% 0.96/1.31  Generated:    22205
% 0.96/1.31  Kept:         4066
% 0.96/1.31  Inuse:        613
% 0.96/1.31  Deleted:      6
% 0.96/1.31  Deletedinuse: 1
% 0.96/1.31  
% 0.96/1.31  Resimplifying inuse:
% 0.96/1.31  Done
% 0.96/1.31  
% 0.96/1.31  Resimplifying inuse:
% 0.96/1.31  Done
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  Intermediate Status:
% 0.96/1.31  Generated:    34645
% 0.96/1.31  Kept:         6166
% 0.96/1.31  Inuse:        828
% 0.96/1.31  Deleted:      7
% 0.96/1.31  Deletedinuse: 1
% 0.96/1.31  
% 0.96/1.31  Resimplifying inuse:
% 0.96/1.31  Done
% 0.96/1.31  
% 0.96/1.31  Resimplifying inuse:
% 0.96/1.31  Done
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  Intermediate Status:
% 0.96/1.31  Generated:    42821
% 0.96/1.31  Kept:         8203
% 0.96/1.31  Inuse:        968
% 0.96/1.31  Deleted:      7
% 0.96/1.31  Deletedinuse: 1
% 0.96/1.31  
% 0.96/1.31  Resimplifying inuse:
% 0.96/1.31  Done
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  Bliksems!, er is een bewijs:
% 0.96/1.31  % SZS status Unsatisfiable
% 0.96/1.31  % SZS output start Refutation
% 0.96/1.31  
% 0.96/1.31  clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ), 
% 0.96/1.31    ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ), 
% 0.96/1.31    implies( Y, X ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) ) ]
% 0.96/1.31     )
% 0.96/1.31  .
% 0.96/1.31  clause( 5, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( Y, X ) ), Z ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.96/1.31     ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 0.96/1.31     ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.96/1.31     ) ), T ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 10, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 12, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    X ), Y ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 17, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), not( 
% 0.96/1.31    Z ) ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 18, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( Y, Y ) ), Z ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 23, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.96/1.31     ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 0.96/1.31    , Z ) ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 24, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z, 
% 0.96/1.31    T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 26, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 59, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X )
% 0.96/1.31    , Z ) ), implies( X, Z ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 61, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ), 
% 0.96/1.31    implies( X, Y ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 63, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 69, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( 
% 0.96/1.31    Y, T ) ) ) ), U ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 86, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 90, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), not( 
% 0.96/1.31    Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 91, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not( 
% 0.96/1.31    X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 98, [ 'is_a_theorem'( implies( implies( not( X ), X ), implies( not( 
% 0.96/1.31    X ), Y ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 114, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( not( X ), X ), implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 215, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( not( Y ), not( Z ) ) ), implies( X, implies( Z, Y )
% 0.96/1.31     ) ), T ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 439, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( 
% 0.96/1.31    Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 446, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Y
% 0.96/1.31    , Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 8436, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), not( 
% 0.96/1.31    X ) ) ), implies( X, Y ) ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 8456, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.96/1.31  .
% 0.96/1.31  clause( 8460, [] )
% 0.96/1.31  .
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  % SZS output end Refutation
% 0.96/1.31  found a proof!
% 0.96/1.31  
% 0.96/1.31  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.96/1.31  
% 0.96/1.31  initialclauses(
% 0.96/1.31  [ clause( 8462, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( 
% 0.96/1.31    X ) ), 'is_a_theorem'( Y ) ] )
% 0.96/1.31  , clause( 8463, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.96/1.31  , clause( 8464, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , clause( 8465, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ), 
% 0.96/1.31    implies( Y, X ) ) ) ] )
% 0.96/1.31  , clause( 8466, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) )
% 0.96/1.31     ) ] )
% 0.96/1.31  ] ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ), 
% 0.96/1.31    ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , clause( 8462, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( 
% 0.96/1.31    X ) ), 'is_a_theorem'( Y ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.31     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.96/1.31  , clause( 8463, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.31     )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , clause( 8464, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ), 
% 0.96/1.31    implies( Y, X ) ) ) ] )
% 0.96/1.31  , clause( 8465, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ), 
% 0.96/1.31    implies( Y, X ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.31     )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) ) ]
% 0.96/1.31     )
% 0.96/1.31  , clause( 8466, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) )
% 0.96/1.31     ) ] )
% 0.96/1.31  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8468, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ), 
% 0.96/1.31    Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.96/1.31    , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 5, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( Y, X ) ), Z ) ) ) ] )
% 0.96/1.31  , clause( 8468, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.96/1.31    , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8470, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), not( 
% 0.96/1.31    Y ) ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ), 
% 0.96/1.31    implies( Y, X ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( implies( not( X ), not( Y ) ), 
% 0.96/1.31    implies( Y, X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.96/1.31    , Y )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 0.96/1.31  , clause( 8470, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), 
% 0.96/1.31    not( Y ) ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8471, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.96/1.31     ) ] )
% 0.96/1.31  , clause( 5, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.96/1.31    , implies( Y, X ) ), Z ) ) ) ] )
% 0.96/1.31  , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies( 
% 0.96/1.31    Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, 
% 0.96/1.31    implies( Z, Y ) ) ), :=( Y, X )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.96/1.31     ] )
% 0.96/1.31  , clause( 8471, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.96/1.31     ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8472, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) )
% 0.96/1.31     ) ] )
% 0.96/1.31  , clause( 5, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.96/1.31    , implies( Y, X ) ), Z ) ) ) ] )
% 0.96/1.31  , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 0.96/1.31    , Y ), implies( X, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.96/1.31    , :=( Z, X )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 0.96/1.31     ] )
% 0.96/1.31  , clause( 8472, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 0.96/1.31     ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.31     )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8474, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.96/1.31    , Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) ), 
% 0.96/1.31    'is_a_theorem'( T ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ), :=( Y, T )] ), 
% 0.96/1.31    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.96/1.31     ) ), T ) ) ) ] )
% 0.96/1.31  , clause( 8474, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies( 
% 0.96/1.31    Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) ), 
% 0.96/1.31    'is_a_theorem'( T ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8475, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.96/1.31  , clause( 5, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.96/1.31    , implies( Y, X ) ), Z ) ) ) ] )
% 0.96/1.31  , 1, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 0.96/1.31     ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( X, X ) )] )
% 0.96/1.31    , substitution( 1, [ :=( X, X ), :=( Y, implies( Y, X ) )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 10, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.96/1.31  , clause( 8475, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8477, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ), 
% 0.96/1.31    'is_a_theorem'( Y ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 10, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ), 
% 0.96/1.31    substitution( 1, [ :=( X, X )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 12, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    X ), Y ) ) ) ] )
% 0.96/1.31  , clause( 8477, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ), 
% 0.96/1.31    'is_a_theorem'( Y ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.96/1.31     ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8479, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies( 
% 0.96/1.31    Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.96/1.31     ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) )
% 0.96/1.31     ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.96/1.31    ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.96/1.31  , clause( 8479, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, 
% 0.96/1.31    implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8480, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.96/1.31  , clause( 12, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.96/1.31    , X ), Y ) ) ) ] )
% 0.96/1.31  , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, implies( Y, Y ) ) )] )
% 0.96/1.31    , substitution( 1, [ :=( X, implies( Y, Y ) ), :=( Y, X )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.96/1.31  , clause( 8480, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.31     )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8481, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), not( 
% 0.96/1.31    Z ) ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 0.96/1.31  , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies( 
% 0.96/1.31    implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ) )] ), substitution( 1
% 0.96/1.31    , [ :=( X, implies( implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ), 
% 0.96/1.31    :=( Y, X )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 17, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), not( 
% 0.96/1.31    Z ) ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , clause( 8481, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), 
% 0.96/1.31    not( Z ) ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8483, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) ), 
% 0.96/1.31    Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.96/1.31    , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 18, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( Y, Y ) ), Z ) ) ) ] )
% 0.96/1.31  , clause( 8483, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.96/1.31    , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8484, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.96/1.31     ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( 
% 0.96/1.31    X, Z ) ) ) ) ] )
% 0.96/1.31  , clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.96/1.31     ) ), T ) ) ) ] )
% 0.96/1.31  , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( 
% 0.96/1.31    implies( implies( X, implies( Y, Z ) ), implies( X, Y ) ), implies( 
% 0.96/1.31    implies( X, implies( Y, Z ) ), implies( X, Z ) ) ) )] ), substitution( 1
% 0.96/1.31    , [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, implies( X, Y ) ), 
% 0.96/1.31    :=( Z, implies( X, Z ) )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 23, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.96/1.31     ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 0.96/1.31    , Z ) ) ) ) ] )
% 0.96/1.31  , clause( 8484, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.96/1.31    , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8485, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z
% 0.96/1.31    , T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.96/1.31  , clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.96/1.31     ) ), T ) ) ) ] )
% 0.96/1.31  , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies( 
% 0.96/1.31    X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ), 
% 0.96/1.31    implies( Y, T ) ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y
% 0.96/1.31    , implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), 
% 0.96/1.31    :=( Y, X )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 24, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z, 
% 0.96/1.31    T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.96/1.31  , clause( 8485, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( 
% 0.96/1.31    Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8487, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( 
% 0.96/1.31    not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 0.96/1.31     )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 17, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), 
% 0.96/1.31    not( Z ) ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( X, implies( implies( not( Y ), not( 
% 0.96/1.31    Z ) ), implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.96/1.31     ), :=( Y, Y ), :=( Z, Z )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 26, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ) ] )
% 0.96/1.31  , clause( 8487, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( 
% 0.96/1.31    not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 0.96/1.31     )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8488, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 0.96/1.31     ), Z ) ), implies( X, Z ) ) ) ] )
% 0.96/1.31  , clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.96/1.31    , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.96/1.31  , 1, clause( 23, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.96/1.31    , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, X ), Z ) )
% 0.96/1.31     ), :=( Y, X ), :=( Z, Y ), :=( T, implies( implies( X, implies( implies( 
% 0.96/1.31    Y, X ), Z ) ), implies( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), 
% 0.96/1.31    :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 59, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X )
% 0.96/1.31    , Z ) ), implies( X, Z ) ) ) ] )
% 0.96/1.31  , clause( 8488, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.96/1.31    , X ), Z ) ), implies( X, Z ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8489, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ), 
% 0.96/1.31    implies( X, Y ) ) ) ] )
% 0.96/1.31  , clause( 18, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.96/1.31    , implies( Y, Y ) ), Z ) ) ) ] )
% 0.96/1.31  , 1, clause( 23, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.96/1.31    , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( X, implies( X, Y ) ) ), :=( Y, X )
% 0.96/1.31    , :=( Z, implies( implies( X, implies( X, Y ) ), implies( X, Y ) ) )] ), 
% 0.96/1.31    substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 61, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ), 
% 0.96/1.31    implies( X, Y ) ) ) ] )
% 0.96/1.31  , clause( 8489, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ), 
% 0.96/1.31    implies( X, Y ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.31     )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8491, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies( X
% 0.96/1.31    , Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 61, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ), 
% 0.96/1.31    implies( X, Y ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( implies( X, implies( X, Y ) ), 
% 0.96/1.31    implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.96/1.31    , Y )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 63, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.96/1.31  , clause( 8491, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies( 
% 0.96/1.31    X, Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8493, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.96/1.31    , implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), U )
% 0.96/1.31     ) ), 'is_a_theorem'( U ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 24, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( 
% 0.96/1.31    Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, implies( Z
% 0.96/1.31    , T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ), :=( Y, U )] )
% 0.96/1.31    , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.96/1.31    ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 69, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X, 
% 0.96/1.31    implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( 
% 0.96/1.31    Y, T ) ) ) ), U ) ) ) ] )
% 0.96/1.31  , clause( 8493, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( 
% 0.96/1.31    Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), U
% 0.96/1.31     ) ) ), 'is_a_theorem'( U ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.96/1.31    , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8494, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.96/1.31  , clause( 26, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.96/1.31    , implies( implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ) ]
% 0.96/1.31     )
% 0.96/1.31  , 1, clause( 59, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.96/1.31    , X ), Z ) ), implies( X, Z ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y ), :=( Z, X ), :=( T, 
% 0.96/1.31    implies( not( X ), implies( X, Y ) ) )] ), substitution( 1, [ :=( X, not( 
% 0.96/1.31    X ) ), :=( Y, not( Y ) ), :=( Z, implies( X, Y ) )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 86, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.96/1.31  , clause( 8494, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 0.96/1.31     )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.31     )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8495, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), not( 
% 0.96/1.31    Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , clause( 26, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.96/1.31    , implies( implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ) ]
% 0.96/1.31     )
% 0.96/1.31  , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( 
% 0.96/1.31    implies( X, implies( not( Y ), not( Z ) ) ), implies( X, implies( Z, Y )
% 0.96/1.31     ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, implies( not( Y ), not( 
% 0.96/1.31    Z ) ) ), :=( Z, implies( Z, Y ) )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 90, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), not( 
% 0.96/1.31    Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , clause( 8495, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), 
% 0.96/1.31    not( Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8497, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X, 
% 0.96/1.31    Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 86, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 0.96/1.31     )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=( 
% 0.96/1.31    Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 91, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not( 
% 0.96/1.31    X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.96/1.31  , clause( 8497, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 0.96/1.31    , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8498, [ 'is_a_theorem'( implies( implies( not( X ), X ), implies( 
% 0.96/1.31    not( X ), Y ) ) ) ] )
% 0.96/1.31  , clause( 91, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.96/1.31  , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), 
% 0.96/1.31    implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( 
% 0.96/1.31    not( X ), X ), implies( not( X ), Y ) ) )] ), substitution( 1, [ :=( X, 
% 0.96/1.31    not( X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 98, [ 'is_a_theorem'( implies( implies( not( X ), X ), implies( not( 
% 0.96/1.31    X ), Y ) ) ) ] )
% 0.96/1.31  , clause( 8498, [ 'is_a_theorem'( implies( implies( not( X ), X ), implies( 
% 0.96/1.31    not( X ), Y ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.31     )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8500, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X )
% 0.96/1.31    , implies( not( X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 98, [ 'is_a_theorem'( implies( implies( not( X ), X ), implies( 
% 0.96/1.31    not( X ), Y ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), implies( 
% 0.96/1.31    not( X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.96/1.31     )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 114, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( not( X ), X ), implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.96/1.31  , clause( 8500, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.96/1.31     ), implies( not( X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8502, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies( 
% 0.96/1.31    not( Y ), not( Z ) ) ), implies( X, implies( Z, Y ) ) ), T ) ) ), 
% 0.96/1.31    'is_a_theorem'( T ) ] )
% 0.96/1.31  , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.96/1.31    , ~( 'is_a_theorem'( X ) ) ] )
% 0.96/1.31  , 2, clause( 90, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), 
% 0.96/1.31    not( Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), not( 
% 0.96/1.31    Z ) ) ), implies( X, implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 
% 0.96/1.31    1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 215, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( not( Y ), not( Z ) ) ), implies( X, implies( Z, Y )
% 0.96/1.31     ) ), T ) ) ) ] )
% 0.96/1.31  , clause( 8502, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies( 
% 0.96/1.31    not( Y ), not( Z ) ) ), implies( X, implies( Z, Y ) ) ), T ) ) ), 
% 0.96/1.31    'is_a_theorem'( T ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8503, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( 
% 0.96/1.31    Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , clause( 69, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.96/1.31    , implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ), 
% 0.96/1.31    implies( Y, T ) ) ) ), U ) ) ) ] )
% 0.96/1.31  , 1, clause( 59, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.96/1.31    , X ), Z ) ), implies( X, Z ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, X ), 
% 0.96/1.31    :=( T, Y ), :=( U, implies( implies( X, Y ), implies( implies( Z, X ), 
% 0.96/1.31    implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), 
% 0.96/1.31    :=( Y, Z ), :=( Z, implies( implies( Z, X ), implies( Z, Y ) ) )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 439, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( 
% 0.96/1.31    Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , clause( 8503, [ 'is_a_theorem'( implies( implies( X, Y ), implies( 
% 0.96/1.31    implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8504, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Y
% 0.96/1.31    , Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 0.96/1.31  , clause( 63, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.96/1.31  , 1, clause( 439, [ 'is_a_theorem'( implies( implies( X, Y ), implies( 
% 0.96/1.31    implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 0.96/1.31    , implies( Y, implies( Y, Z ) ) ), implies( X, implies( Y, Z ) ) ) )] ), 
% 0.96/1.31    substitution( 1, [ :=( X, implies( Y, implies( Y, Z ) ) ), :=( Y, implies( 
% 0.96/1.31    Y, Z ) ), :=( Z, X )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 446, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Y
% 0.96/1.31    , Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 0.96/1.31  , clause( 8504, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( 
% 0.96/1.31    Y, Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.96/1.31    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8505, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), not( 
% 0.96/1.31    X ) ) ), implies( X, Y ) ) ) ] )
% 0.96/1.31  , clause( 215, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( X, implies( not( Y ), not( Z ) ) ), implies( X, implies( Z, Y )
% 0.96/1.31     ) ), T ) ) ) ] )
% 0.96/1.31  , 1, clause( 446, [ 'is_a_theorem'( implies( implies( X, implies( Y, 
% 0.96/1.31    implies( Y, Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, implies( 
% 0.96/1.31    implies( X, implies( not( Y ), not( X ) ) ), implies( X, Y ) ) )] ), 
% 0.96/1.31    substitution( 1, [ :=( X, implies( X, implies( not( Y ), not( X ) ) ) ), 
% 0.96/1.31    :=( Y, X ), :=( Z, Y )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 8436, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), not( 
% 0.96/1.31    X ) ) ), implies( X, Y ) ) ) ] )
% 0.96/1.31  , clause( 8505, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), 
% 0.96/1.31    not( X ) ) ), implies( X, Y ) ) ) ] )
% 0.96/1.31  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.31     )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8506, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.96/1.31  , clause( 114, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( 
% 0.96/1.31    implies( not( X ), X ), implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.96/1.31  , 1, clause( 8436, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.96/1.31    , not( X ) ) ), implies( X, Y ) ) ) ] )
% 0.96/1.31  , 0, substitution( 0, [ :=( X, X ), :=( Y, not( implies( not( X ), X ) ) )
% 0.96/1.31    , :=( Z, implies( implies( not( X ), X ), X ) )] ), substitution( 1, [ 
% 0.96/1.31    :=( X, implies( not( X ), X ) ), :=( Y, X )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 8456, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.96/1.31  , clause( 8506, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.96/1.31     )
% 0.96/1.31  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  resolution(
% 0.96/1.31  clause( 8507, [] )
% 0.96/1.31  , clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) )
% 0.96/1.31     ] )
% 0.96/1.31  , 0, clause( 8456, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) )
% 0.96/1.31     ] )
% 0.96/1.31  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  subsumption(
% 0.96/1.31  clause( 8460, [] )
% 0.96/1.31  , clause( 8507, [] )
% 0.96/1.31  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  end.
% 0.96/1.31  
% 0.96/1.31  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.96/1.31  
% 0.96/1.31  Memory use:
% 0.96/1.31  
% 0.96/1.31  space for terms:        147431
% 0.96/1.31  space for clauses:      718516
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  clauses generated:      45612
% 0.96/1.31  clauses kept:           8461
% 0.96/1.31  clauses selected:       1006
% 0.96/1.31  clauses deleted:        7
% 0.96/1.31  clauses inuse deleted:  1
% 0.96/1.31  
% 0.96/1.31  subsentry:          38835
% 0.96/1.31  literals s-matched: 37159
% 0.96/1.31  literals matched:   37159
% 0.96/1.31  full subsumption:   0
% 0.96/1.31  
% 0.96/1.31  checksum:           -436284261
% 0.96/1.31  
% 0.96/1.31  
% 0.96/1.31  Bliksem ended
%------------------------------------------------------------------------------