TSTP Solution File: PUZ003-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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 : Mon Jul 18 17:58:07 EDT 2022

% Result   : Unsatisfiable 0.44s 1.10s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % Command  : bliksem %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Sat May 28 23:34:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/1.10  *** allocated 10000 integers for termspace/termends
% 0.44/1.10  *** allocated 10000 integers for clauses
% 0.44/1.10  *** allocated 10000 integers for justifications
% 0.44/1.10  Bliksem 1.12
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Automatic Strategy Selection
% 0.44/1.10  
% 0.44/1.10  Clauses:
% 0.44/1.10  [
% 0.44/1.10     [ ~( member( X ) ), ~( member( Y ) ), ~( shaved( X, Y ) ), shaved( 
% 0.44/1.10    members, X ) ],
% 0.44/1.10     [ ~( shaved( members, X ) ), ~( member( Y ) ), shaved( Y, X ) ],
% 0.44/1.10     [ member( guido ) ],
% 0.44/1.10     [ member( lorenzo ) ],
% 0.44/1.10     [ member( petruchio ) ],
% 0.44/1.10     [ member( cesare ) ],
% 0.44/1.10     [ shaved( guido, cesare ) ],
% 0.44/1.10     [ ~( shaved( petruchio, lorenzo ) ) ]
% 0.44/1.10  ] .
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  percentage equality = 0.000000, percentage horn = 1.000000
% 0.44/1.10  This is a near-Horn, non-equality  problem
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Options Used:
% 0.44/1.10  
% 0.44/1.10  useres =            1
% 0.44/1.10  useparamod =        0
% 0.44/1.10  useeqrefl =         0
% 0.44/1.10  useeqfact =         0
% 0.44/1.10  usefactor =         1
% 0.44/1.10  usesimpsplitting =  0
% 0.44/1.10  usesimpdemod =      0
% 0.44/1.10  usesimpres =        4
% 0.44/1.10  
% 0.44/1.10  resimpinuse      =  1000
% 0.44/1.10  resimpclauses =     20000
% 0.44/1.10  substype =          standard
% 0.44/1.10  backwardsubs =      1
% 0.44/1.10  selectoldest =      5
% 0.44/1.10  
% 0.44/1.10  litorderings [0] =  split
% 0.44/1.10  litorderings [1] =  liftord
% 0.44/1.10  
% 0.44/1.10  termordering =      none
% 0.44/1.10  
% 0.44/1.10  litapriori =        1
% 0.44/1.10  termapriori =       0
% 0.44/1.10  litaposteriori =    0
% 0.44/1.10  termaposteriori =   0
% 0.44/1.10  demodaposteriori =  0
% 0.44/1.10  ordereqreflfact =   0
% 0.44/1.10  
% 0.44/1.10  litselect =         negative
% 0.44/1.10  
% 0.44/1.10  maxweight =         30000
% 0.44/1.10  maxdepth =          30000
% 0.44/1.10  maxlength =         115
% 0.44/1.10  maxnrvars =         195
% 0.44/1.10  excuselevel =       0
% 0.44/1.10  increasemaxweight = 0
% 0.44/1.10  
% 0.44/1.10  maxselected =       10000000
% 0.44/1.10  maxnrclauses =      10000000
% 0.44/1.10  
% 0.44/1.10  showgenerated =    0
% 0.44/1.10  showkept =         0
% 0.44/1.10  showselected =     0
% 0.44/1.10  showdeleted =      0
% 0.44/1.10  showresimp =       1
% 0.44/1.10  showstatus =       2000
% 0.44/1.10  
% 0.44/1.10  prologoutput =     1
% 0.44/1.10  nrgoals =          5000000
% 0.44/1.10  totalproof =       1
% 0.44/1.10  
% 0.44/1.10  Symbols occurring in the translation:
% 0.44/1.10  
% 0.44/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.44/1.10  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.44/1.10  !  [4, 1]      (w:1, o:16, a:1, s:1, b:0), 
% 0.44/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.10  member  [40, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.44/1.10  shaved  [42, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.44/1.10  members  [43, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.44/1.10  guido  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.44/1.10  lorenzo  [45, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.44/1.10  petruchio  [46, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.44/1.10  cesare  [47, 0]      (w:1, o:15, a:1, s:1, b:0).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Starting Search:
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Bliksems!, er is een bewijs:
% 0.44/1.10  % SZS status Unsatisfiable
% 0.44/1.10  % SZS output start Refutation
% 0.44/1.10  
% 0.44/1.10  clause( 0, [ ~( member( X ) ), ~( shaved( X, Y ) ), shaved( members, X ), 
% 0.44/1.10    ~( member( Y ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 1, [ ~( shaved( members, X ) ), shaved( Y, X ), ~( member( Y ) ) ]
% 0.44/1.10     )
% 0.44/1.10  .
% 0.44/1.10  clause( 2, [ member( guido ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 3, [ member( lorenzo ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 4, [ member( petruchio ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 5, [ member( cesare ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 6, [ shaved( guido, cesare ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 7, [ ~( shaved( petruchio, lorenzo ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 9, [ ~( shaved( X, guido ) ), shaved( members, X ), ~( member( X )
% 0.44/1.10     ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 11, [ ~( shaved( X, petruchio ) ), shaved( members, X ), ~( member( 
% 0.44/1.10    X ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 12, [ ~( shaved( X, cesare ) ), shaved( members, X ), ~( member( X
% 0.44/1.10     ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 14, [ shaved( lorenzo, X ), ~( shaved( members, X ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 15, [ shaved( petruchio, X ), ~( shaved( members, X ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 22, [ shaved( members, petruchio ), ~( shaved( petruchio, guido ) )
% 0.44/1.10     ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 27, [ shaved( members, lorenzo ), ~( shaved( lorenzo, petruchio ) )
% 0.44/1.10     ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 29, [ shaved( members, guido ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 33, [ shaved( petruchio, guido ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 40, [ shaved( members, petruchio ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 43, [ shaved( lorenzo, petruchio ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 45, [ shaved( members, lorenzo ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 47, [] )
% 0.44/1.10  .
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  % SZS output end Refutation
% 0.44/1.10  found a proof!
% 0.44/1.10  
% 0.44/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10  
% 0.44/1.10  initialclauses(
% 0.44/1.10  [ clause( 49, [ ~( member( X ) ), ~( member( Y ) ), ~( shaved( X, Y ) ), 
% 0.44/1.10    shaved( members, X ) ] )
% 0.44/1.10  , clause( 50, [ ~( shaved( members, X ) ), ~( member( Y ) ), shaved( Y, X )
% 0.44/1.10     ] )
% 0.44/1.10  , clause( 51, [ member( guido ) ] )
% 0.44/1.10  , clause( 52, [ member( lorenzo ) ] )
% 0.44/1.10  , clause( 53, [ member( petruchio ) ] )
% 0.44/1.10  , clause( 54, [ member( cesare ) ] )
% 0.44/1.10  , clause( 55, [ shaved( guido, cesare ) ] )
% 0.44/1.10  , clause( 56, [ ~( shaved( petruchio, lorenzo ) ) ] )
% 0.44/1.10  ] ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 0, [ ~( member( X ) ), ~( shaved( X, Y ) ), shaved( members, X ), 
% 0.44/1.10    ~( member( Y ) ) ] )
% 0.44/1.10  , clause( 49, [ ~( member( X ) ), ~( member( Y ) ), ~( shaved( X, Y ) ), 
% 0.44/1.10    shaved( members, X ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10     ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 1, [ ~( shaved( members, X ) ), shaved( Y, X ), ~( member( Y ) ) ]
% 0.44/1.10     )
% 0.44/1.10  , clause( 50, [ ~( shaved( members, X ) ), ~( member( Y ) ), shaved( Y, X )
% 0.44/1.10     ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 2, [ member( guido ) ] )
% 0.44/1.10  , clause( 51, [ member( guido ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 3, [ member( lorenzo ) ] )
% 0.44/1.10  , clause( 52, [ member( lorenzo ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 4, [ member( petruchio ) ] )
% 0.44/1.10  , clause( 53, [ member( petruchio ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 5, [ member( cesare ) ] )
% 0.44/1.10  , clause( 54, [ member( cesare ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 6, [ shaved( guido, cesare ) ] )
% 0.44/1.10  , clause( 55, [ shaved( guido, cesare ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 7, [ ~( shaved( petruchio, lorenzo ) ) ] )
% 0.44/1.10  , clause( 56, [ ~( shaved( petruchio, lorenzo ) ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 66, [ ~( member( X ) ), ~( shaved( X, guido ) ), shaved( members, X
% 0.44/1.10     ) ] )
% 0.44/1.10  , clause( 0, [ ~( member( X ) ), ~( shaved( X, Y ) ), shaved( members, X )
% 0.44/1.10    , ~( member( Y ) ) ] )
% 0.44/1.10  , 3, clause( 2, [ member( guido ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, guido )] ), substitution( 1, [] )
% 0.44/1.10    ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 9, [ ~( shaved( X, guido ) ), shaved( members, X ), ~( member( X )
% 0.44/1.10     ) ] )
% 0.44/1.10  , clause( 66, [ ~( member( X ) ), ~( shaved( X, guido ) ), shaved( members
% 0.44/1.10    , X ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 
% 0.44/1.10    0 ), ==>( 2, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 68, [ ~( member( X ) ), ~( shaved( X, petruchio ) ), shaved( 
% 0.44/1.10    members, X ) ] )
% 0.44/1.10  , clause( 0, [ ~( member( X ) ), ~( shaved( X, Y ) ), shaved( members, X )
% 0.44/1.10    , ~( member( Y ) ) ] )
% 0.44/1.10  , 3, clause( 4, [ member( petruchio ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, petruchio )] ), substitution( 1
% 0.44/1.10    , [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 11, [ ~( shaved( X, petruchio ) ), shaved( members, X ), ~( member( 
% 0.44/1.10    X ) ) ] )
% 0.44/1.10  , clause( 68, [ ~( member( X ) ), ~( shaved( X, petruchio ) ), shaved( 
% 0.44/1.10    members, X ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 
% 0.44/1.10    0 ), ==>( 2, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 70, [ ~( member( X ) ), ~( shaved( X, cesare ) ), shaved( members, 
% 0.44/1.10    X ) ] )
% 0.44/1.10  , clause( 0, [ ~( member( X ) ), ~( shaved( X, Y ) ), shaved( members, X )
% 0.44/1.10    , ~( member( Y ) ) ] )
% 0.44/1.10  , 3, clause( 5, [ member( cesare ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, cesare )] ), substitution( 1, [] )
% 0.44/1.10    ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 12, [ ~( shaved( X, cesare ) ), shaved( members, X ), ~( member( X
% 0.44/1.10     ) ) ] )
% 0.44/1.10  , clause( 70, [ ~( member( X ) ), ~( shaved( X, cesare ) ), shaved( members
% 0.44/1.10    , X ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 
% 0.44/1.10    0 ), ==>( 2, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 71, [ ~( shaved( members, X ) ), shaved( lorenzo, X ) ] )
% 0.44/1.10  , clause( 1, [ ~( shaved( members, X ) ), shaved( Y, X ), ~( member( Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , 2, clause( 3, [ member( lorenzo ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, lorenzo )] ), substitution( 1, [] )
% 0.44/1.10    ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 14, [ shaved( lorenzo, X ), ~( shaved( members, X ) ) ] )
% 0.44/1.10  , clause( 71, [ ~( shaved( members, X ) ), shaved( lorenzo, X ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.44/1.10    0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 72, [ ~( shaved( members, X ) ), shaved( petruchio, X ) ] )
% 0.44/1.10  , clause( 1, [ ~( shaved( members, X ) ), shaved( Y, X ), ~( member( Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , 2, clause( 4, [ member( petruchio ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, petruchio )] ), substitution( 1
% 0.44/1.10    , [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 15, [ shaved( petruchio, X ), ~( shaved( members, X ) ) ] )
% 0.44/1.10  , clause( 72, [ ~( shaved( members, X ) ), shaved( petruchio, X ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.44/1.10    0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 73, [ ~( shaved( petruchio, guido ) ), shaved( members, petruchio )
% 0.44/1.10     ] )
% 0.44/1.10  , clause( 9, [ ~( shaved( X, guido ) ), shaved( members, X ), ~( member( X
% 0.44/1.10     ) ) ] )
% 0.44/1.10  , 2, clause( 4, [ member( petruchio ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, petruchio )] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 22, [ shaved( members, petruchio ), ~( shaved( petruchio, guido ) )
% 0.44/1.10     ] )
% 0.44/1.10  , clause( 73, [ ~( shaved( petruchio, guido ) ), shaved( members, petruchio
% 0.44/1.10     ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.44/1.10     ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 74, [ ~( shaved( lorenzo, petruchio ) ), shaved( members, lorenzo )
% 0.44/1.10     ] )
% 0.44/1.10  , clause( 11, [ ~( shaved( X, petruchio ) ), shaved( members, X ), ~( 
% 0.44/1.10    member( X ) ) ] )
% 0.44/1.10  , 2, clause( 3, [ member( lorenzo ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, lorenzo )] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 27, [ shaved( members, lorenzo ), ~( shaved( lorenzo, petruchio ) )
% 0.44/1.10     ] )
% 0.44/1.10  , clause( 74, [ ~( shaved( lorenzo, petruchio ) ), shaved( members, lorenzo
% 0.44/1.10     ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.44/1.10     ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 75, [ ~( shaved( guido, cesare ) ), shaved( members, guido ) ] )
% 0.44/1.10  , clause( 12, [ ~( shaved( X, cesare ) ), shaved( members, X ), ~( member( 
% 0.44/1.10    X ) ) ] )
% 0.44/1.10  , 2, clause( 2, [ member( guido ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, guido )] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 76, [ shaved( members, guido ) ] )
% 0.44/1.10  , clause( 75, [ ~( shaved( guido, cesare ) ), shaved( members, guido ) ] )
% 0.44/1.10  , 0, clause( 6, [ shaved( guido, cesare ) ] )
% 0.44/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 29, [ shaved( members, guido ) ] )
% 0.44/1.10  , clause( 76, [ shaved( members, guido ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 77, [ shaved( petruchio, guido ) ] )
% 0.44/1.10  , clause( 15, [ shaved( petruchio, X ), ~( shaved( members, X ) ) ] )
% 0.44/1.10  , 1, clause( 29, [ shaved( members, guido ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, guido )] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 33, [ shaved( petruchio, guido ) ] )
% 0.44/1.10  , clause( 77, [ shaved( petruchio, guido ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 78, [ shaved( members, petruchio ) ] )
% 0.44/1.10  , clause( 22, [ shaved( members, petruchio ), ~( shaved( petruchio, guido )
% 0.44/1.10     ) ] )
% 0.44/1.10  , 1, clause( 33, [ shaved( petruchio, guido ) ] )
% 0.44/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 40, [ shaved( members, petruchio ) ] )
% 0.44/1.10  , clause( 78, [ shaved( members, petruchio ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 79, [ shaved( lorenzo, petruchio ) ] )
% 0.44/1.10  , clause( 14, [ shaved( lorenzo, X ), ~( shaved( members, X ) ) ] )
% 0.44/1.10  , 1, clause( 40, [ shaved( members, petruchio ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, petruchio )] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 43, [ shaved( lorenzo, petruchio ) ] )
% 0.44/1.10  , clause( 79, [ shaved( lorenzo, petruchio ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 80, [ shaved( members, lorenzo ) ] )
% 0.44/1.10  , clause( 27, [ shaved( members, lorenzo ), ~( shaved( lorenzo, petruchio )
% 0.44/1.10     ) ] )
% 0.44/1.10  , 1, clause( 43, [ shaved( lorenzo, petruchio ) ] )
% 0.44/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 45, [ shaved( members, lorenzo ) ] )
% 0.44/1.10  , clause( 80, [ shaved( members, lorenzo ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 81, [ shaved( petruchio, lorenzo ) ] )
% 0.44/1.10  , clause( 15, [ shaved( petruchio, X ), ~( shaved( members, X ) ) ] )
% 0.44/1.10  , 1, clause( 45, [ shaved( members, lorenzo ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, lorenzo )] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 82, [] )
% 0.44/1.10  , clause( 7, [ ~( shaved( petruchio, lorenzo ) ) ] )
% 0.44/1.10  , 0, clause( 81, [ shaved( petruchio, lorenzo ) ] )
% 0.44/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 47, [] )
% 0.44/1.10  , clause( 82, [] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  end.
% 0.44/1.10  
% 0.44/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10  
% 0.44/1.10  Memory use:
% 0.44/1.10  
% 0.44/1.10  space for terms:        387
% 0.44/1.10  space for clauses:      2269
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  clauses generated:      55
% 0.44/1.10  clauses kept:           48
% 0.44/1.10  clauses selected:       35
% 0.44/1.10  clauses deleted:        2
% 0.44/1.10  clauses inuse deleted:  0
% 0.44/1.10  
% 0.44/1.10  subsentry:          38
% 0.44/1.10  literals s-matched: 8
% 0.44/1.10  literals matched:   8
% 0.44/1.10  full subsumption:   0
% 0.44/1.10  
% 0.44/1.10  checksum:           -15734078
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Bliksem ended
%------------------------------------------------------------------------------