TSTP Solution File: SYN571-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN571-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 : Thu Jul 21 02:53:03 EDT 2022

% Result   : Unsatisfiable 0.81s 1.15s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN571-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Mon Jul 11 23:40:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.81/1.15  *** allocated 10000 integers for termspace/termends
% 0.81/1.15  *** allocated 10000 integers for clauses
% 0.81/1.15  *** allocated 10000 integers for justifications
% 0.81/1.15  Bliksem 1.12
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  Automatic Strategy Selection
% 0.81/1.15  
% 0.81/1.15  Clauses:
% 0.81/1.15  [
% 0.81/1.15     [ p4( X, X ) ],
% 0.81/1.15     [ p2( X, X ) ],
% 0.81/1.15     [ p11( f5( X ), c14 ) ],
% 0.81/1.15     [ ~( p11( c13, f5( X ) ) ) ],
% 0.81/1.15     [ p11( X, Y ), p11( Y, X ) ],
% 0.81/1.15     [ ~( p11( X, f3( X, f5( f6( f7( c12 ) ) ) ) ) ) ],
% 0.81/1.15     [ p11( c14, X ), ~( p11( f5( f10( X ) ), X ) ) ],
% 0.81/1.15     [ p4( f7( X ), f7( Y ) ), ~( p4( X, Y ) ) ],
% 0.81/1.15     [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ],
% 0.81/1.15     [ p4( f10( X ), f10( Y ) ), ~( p2( X, Y ) ) ],
% 0.81/1.15     [ p4( f6( X ), f6( Y ) ), ~( p4( X, Y ) ) ],
% 0.81/1.15     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.81/1.15     [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.81/1.15     [ p2( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ],
% 0.81/1.15     [ p11( X, f3( Y, Z ) ), ~( p11( f9( X, Z ), Y ) ) ],
% 0.81/1.15     [ p11( f9( X, Y ), Z ), ~( p11( X, f3( Z, Y ) ) ) ],
% 0.81/1.15     [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z, T ) ) ],
% 0.81/1.15     [ p4( f8( X, Y ), f8( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, T ) ) ],
% 0.81/1.15     [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.81/1.15     [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.81/1.15  ] .
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  percentage equality = 0.000000, percentage horn = 0.950000
% 0.81/1.15  This is a near-Horn, non-equality  problem
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  Options Used:
% 0.81/1.15  
% 0.81/1.15  useres =            1
% 0.81/1.15  useparamod =        0
% 0.81/1.15  useeqrefl =         0
% 0.81/1.15  useeqfact =         0
% 0.81/1.15  usefactor =         1
% 0.81/1.15  usesimpsplitting =  0
% 0.81/1.15  usesimpdemod =      0
% 0.81/1.15  usesimpres =        4
% 0.81/1.15  
% 0.81/1.15  resimpinuse      =  1000
% 0.81/1.15  resimpclauses =     20000
% 0.81/1.15  substype =          standard
% 0.81/1.15  backwardsubs =      1
% 0.81/1.15  selectoldest =      5
% 0.81/1.15  
% 0.81/1.15  litorderings [0] =  split
% 0.81/1.15  litorderings [1] =  liftord
% 0.81/1.15  
% 0.81/1.15  termordering =      none
% 0.81/1.15  
% 0.81/1.15  litapriori =        1
% 0.81/1.15  termapriori =       0
% 0.81/1.15  litaposteriori =    0
% 0.81/1.15  termaposteriori =   0
% 0.81/1.15  demodaposteriori =  0
% 0.81/1.15  ordereqreflfact =   0
% 0.81/1.15  
% 0.81/1.15  litselect =         negative
% 0.81/1.15  
% 0.81/1.15  maxweight =         30000
% 0.81/1.15  maxdepth =          30000
% 0.81/1.15  maxlength =         115
% 0.81/1.15  maxnrvars =         195
% 0.81/1.15  excuselevel =       0
% 0.81/1.15  increasemaxweight = 0
% 0.81/1.15  
% 0.81/1.15  maxselected =       10000000
% 0.81/1.15  maxnrclauses =      10000000
% 0.81/1.15  
% 0.81/1.15  showgenerated =    0
% 0.81/1.15  showkept =         0
% 0.81/1.15  showselected =     0
% 0.81/1.15  showdeleted =      0
% 0.81/1.15  showresimp =       1
% 0.81/1.15  showstatus =       2000
% 0.81/1.15  
% 0.81/1.15  prologoutput =     1
% 0.81/1.15  nrgoals =          5000000
% 0.81/1.15  totalproof =       1
% 0.81/1.15  
% 0.81/1.15  Symbols occurring in the translation:
% 0.81/1.15  
% 0.81/1.15  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.81/1.15  .  [1, 2]      (w:1, o:62, a:1, s:1, b:0), 
% 0.81/1.15  !  [4, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 0.81/1.15  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.81/1.15  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.81/1.15  p4  [40, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 0.81/1.15  p2  [42, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 0.81/1.15  f5  [44, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 0.81/1.15  c14  [45, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 0.81/1.15  p11  [46, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 0.81/1.15  c13  [47, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 0.81/1.15  c12  [52, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 0.81/1.15  f7  [53, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 0.81/1.15  f6  [54, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 0.81/1.15  f3  [55, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 0.81/1.15  f10  [57, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 0.81/1.15  f9  [72, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 0.81/1.15  f8  [73, 2]      (w:1, o:91, a:1, s:1, b:0).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  Starting Search:
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  Bliksems!, er is een bewijs:
% 0.81/1.15  % SZS status Unsatisfiable
% 0.81/1.15  % SZS output start Refutation
% 0.81/1.15  
% 0.81/1.15  clause( 1, [ p2( X, X ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 2, [ p11( f5( X ), c14 ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 5, [ ~( p11( X, f3( X, f5( f6( f7( c12 ) ) ) ) ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 6, [ p11( c14, X ), ~( p11( f5( f10( X ) ), X ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 11, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 13, [ p2( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 14, [ p11( X, f3( Y, Z ) ), ~( p11( f9( X, Z ), Y ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 16, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.81/1.15     ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 28, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 30, [ p2( f5( f8( X, Y ) ), f9( f5( X ), f5( Y ) ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 55, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 56, [ p11( f9( f5( X ), f5( Y ) ), Z ), ~( p11( f5( f8( X, Y ) ), Z
% 0.81/1.15     ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 103, [ p11( f9( f5( X ), f5( Y ) ), c14 ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 109, [ p11( f5( X ), f3( c14, f5( Y ) ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 111, [ p11( c14, f3( c14, f5( X ) ) ) ] )
% 0.81/1.15  .
% 0.81/1.15  clause( 113, [] )
% 0.81/1.15  .
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  % SZS output end Refutation
% 0.81/1.15  found a proof!
% 0.81/1.15  
% 0.81/1.15  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.15  
% 0.81/1.15  initialclauses(
% 0.81/1.15  [ clause( 115, [ p4( X, X ) ] )
% 0.81/1.15  , clause( 116, [ p2( X, X ) ] )
% 0.81/1.15  , clause( 117, [ p11( f5( X ), c14 ) ] )
% 0.81/1.15  , clause( 118, [ ~( p11( c13, f5( X ) ) ) ] )
% 0.81/1.15  , clause( 119, [ p11( X, Y ), p11( Y, X ) ] )
% 0.81/1.15  , clause( 120, [ ~( p11( X, f3( X, f5( f6( f7( c12 ) ) ) ) ) ) ] )
% 0.81/1.15  , clause( 121, [ p11( c14, X ), ~( p11( f5( f10( X ) ), X ) ) ] )
% 0.81/1.15  , clause( 122, [ p4( f7( X ), f7( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.15  , clause( 123, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.15  , clause( 124, [ p4( f10( X ), f10( Y ) ), ~( p2( X, Y ) ) ] )
% 0.81/1.15  , clause( 125, [ p4( f6( X ), f6( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.15  , clause( 126, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.81/1.15  , clause( 127, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.81/1.15  , clause( 128, [ p2( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.15  , clause( 129, [ p11( X, f3( Y, Z ) ), ~( p11( f9( X, Z ), Y ) ) ] )
% 0.81/1.15  , clause( 130, [ p11( f9( X, Y ), Z ), ~( p11( X, f3( Z, Y ) ) ) ] )
% 0.81/1.15  , clause( 131, [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z, 
% 0.81/1.15    T ) ) ] )
% 0.81/1.15  , clause( 132, [ p4( f8( X, Y ), f8( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, T
% 0.81/1.15     ) ) ] )
% 0.81/1.15  , clause( 133, [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T
% 0.81/1.15     ) ) ] )
% 0.81/1.15  , clause( 134, [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T
% 0.81/1.15     ) ) ] )
% 0.81/1.15  ] ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 1, [ p2( X, X ) ] )
% 0.81/1.15  , clause( 116, [ p2( X, X ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 2, [ p11( f5( X ), c14 ) ] )
% 0.81/1.15  , clause( 117, [ p11( f5( X ), c14 ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 5, [ ~( p11( X, f3( X, f5( f6( f7( c12 ) ) ) ) ) ) ] )
% 0.81/1.15  , clause( 120, [ ~( p11( X, f3( X, f5( f6( f7( c12 ) ) ) ) ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 6, [ p11( c14, X ), ~( p11( f5( f10( X ) ), X ) ) ] )
% 0.81/1.15  , clause( 121, [ p11( c14, X ), ~( p11( f5( f10( X ) ), X ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.81/1.15    1 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 11, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.81/1.15  , clause( 126, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.15    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 13, [ p2( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.15  , clause( 128, [ p2( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.15     )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 14, [ p11( X, f3( Y, Z ) ), ~( p11( f9( X, Z ), Y ) ) ] )
% 0.81/1.15  , clause( 129, [ p11( X, f3( Y, Z ) ), ~( p11( f9( X, Z ), Y ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.15    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 16, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.81/1.15     ) ] )
% 0.81/1.15  , clause( 131, [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z, 
% 0.81/1.15    T ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.81/1.15    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 0.81/1.15     ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  resolution(
% 0.81/1.15  clause( 150, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.81/1.15  , clause( 11, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.81/1.15  , 2, clause( 1, [ p2( X, X ) ] )
% 0.81/1.15  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.81/1.15    substitution( 1, [ :=( X, X )] )).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 28, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.81/1.15  , clause( 150, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.81/1.15     ), ==>( 1, 0 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  resolution(
% 0.81/1.15  clause( 151, [ p2( f5( f8( X, Y ) ), f9( f5( X ), f5( Y ) ) ) ] )
% 0.81/1.15  , clause( 28, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.81/1.15  , 1, clause( 13, [ p2( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.15  , 0, substitution( 0, [ :=( X, f9( f5( X ), f5( Y ) ) ), :=( Y, f5( f8( X, 
% 0.81/1.15    Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 30, [ p2( f5( f8( X, Y ) ), f9( f5( X ), f5( Y ) ) ) ] )
% 0.81/1.15  , clause( 151, [ p2( f5( f8( X, Y ) ), f9( f5( X ), f5( Y ) ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.15     )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  resolution(
% 0.81/1.15  clause( 153, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.15  , clause( 16, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.81/1.15     ) ) ] )
% 0.81/1.15  , 3, clause( 1, [ p2( X, X ) ] )
% 0.81/1.15  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] ), 
% 0.81/1.15    substitution( 1, [ :=( X, Y )] )).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 55, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.15  , clause( 153, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.15    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  resolution(
% 0.81/1.15  clause( 154, [ p11( f9( f5( X ), f5( Y ) ), Z ), ~( p11( f5( f8( X, Y ) ), 
% 0.81/1.15    Z ) ) ] )
% 0.81/1.15  , clause( 55, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.15  , 2, clause( 30, [ p2( f5( f8( X, Y ) ), f9( f5( X ), f5( Y ) ) ) ] )
% 0.81/1.15  , 0, substitution( 0, [ :=( X, f9( f5( X ), f5( Y ) ) ), :=( Y, Z ), :=( Z
% 0.81/1.15    , f5( f8( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.81/1.15    ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 56, [ p11( f9( f5( X ), f5( Y ) ), Z ), ~( p11( f5( f8( X, Y ) ), Z
% 0.81/1.15     ) ) ] )
% 0.81/1.15  , clause( 154, [ p11( f9( f5( X ), f5( Y ) ), Z ), ~( p11( f5( f8( X, Y ) )
% 0.81/1.15    , Z ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.15    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  resolution(
% 0.81/1.15  clause( 155, [ p11( f9( f5( X ), f5( Y ) ), c14 ) ] )
% 0.81/1.15  , clause( 56, [ p11( f9( f5( X ), f5( Y ) ), Z ), ~( p11( f5( f8( X, Y ) )
% 0.81/1.15    , Z ) ) ] )
% 0.81/1.15  , 1, clause( 2, [ p11( f5( X ), c14 ) ] )
% 0.81/1.15  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, c14 )] ), 
% 0.81/1.15    substitution( 1, [ :=( X, f8( X, Y ) )] )).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 103, [ p11( f9( f5( X ), f5( Y ) ), c14 ) ] )
% 0.81/1.15  , clause( 155, [ p11( f9( f5( X ), f5( Y ) ), c14 ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.15     )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  resolution(
% 0.81/1.15  clause( 156, [ p11( f5( X ), f3( c14, f5( Y ) ) ) ] )
% 0.81/1.15  , clause( 14, [ p11( X, f3( Y, Z ) ), ~( p11( f9( X, Z ), Y ) ) ] )
% 0.81/1.15  , 1, clause( 103, [ p11( f9( f5( X ), f5( Y ) ), c14 ) ] )
% 0.81/1.15  , 0, substitution( 0, [ :=( X, f5( X ) ), :=( Y, c14 ), :=( Z, f5( Y ) )] )
% 0.81/1.15    , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 109, [ p11( f5( X ), f3( c14, f5( Y ) ) ) ] )
% 0.81/1.15  , clause( 156, [ p11( f5( X ), f3( c14, f5( Y ) ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.15     )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  resolution(
% 0.81/1.15  clause( 157, [ p11( c14, f3( c14, f5( X ) ) ) ] )
% 0.81/1.15  , clause( 6, [ p11( c14, X ), ~( p11( f5( f10( X ) ), X ) ) ] )
% 0.81/1.15  , 1, clause( 109, [ p11( f5( X ), f3( c14, f5( Y ) ) ) ] )
% 0.81/1.15  , 0, substitution( 0, [ :=( X, f3( c14, f5( X ) ) )] ), substitution( 1, [ 
% 0.81/1.15    :=( X, f10( f3( c14, f5( X ) ) ) ), :=( Y, X )] )).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 111, [ p11( c14, f3( c14, f5( X ) ) ) ] )
% 0.81/1.15  , clause( 157, [ p11( c14, f3( c14, f5( X ) ) ) ] )
% 0.81/1.15  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  resolution(
% 0.81/1.15  clause( 158, [] )
% 0.81/1.15  , clause( 5, [ ~( p11( X, f3( X, f5( f6( f7( c12 ) ) ) ) ) ) ] )
% 0.81/1.15  , 0, clause( 111, [ p11( c14, f3( c14, f5( X ) ) ) ] )
% 0.81/1.15  , 0, substitution( 0, [ :=( X, c14 )] ), substitution( 1, [ :=( X, f6( f7( 
% 0.81/1.15    c12 ) ) )] )).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  subsumption(
% 0.81/1.15  clause( 113, [] )
% 0.81/1.15  , clause( 158, [] )
% 0.81/1.15  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  end.
% 0.81/1.15  
% 0.81/1.15  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.15  
% 0.81/1.15  Memory use:
% 0.81/1.15  
% 0.81/1.15  space for terms:        1948
% 0.81/1.15  space for clauses:      10855
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  clauses generated:      171
% 0.81/1.15  clauses kept:           114
% 0.81/1.15  clauses selected:       60
% 0.81/1.15  clauses deleted:        0
% 0.81/1.15  clauses inuse deleted:  0
% 0.81/1.15  
% 0.81/1.15  subsentry:          332
% 0.81/1.15  literals s-matched: 193
% 0.81/1.15  literals matched:   193
% 0.81/1.15  full subsumption:   90
% 0.81/1.15  
% 0.81/1.15  checksum:           -169488391
% 0.81/1.15  
% 0.81/1.15  
% 0.81/1.15  Bliksem ended
%------------------------------------------------------------------------------