TSTP Solution File: SYN310-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN310-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n018.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 02:49:26 EDT 2022

% Result   : Unsatisfiable 0.67s 1.06s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN310-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n018.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 : Tue Jul 12 02:59:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.67/1.06  *** allocated 10000 integers for termspace/termends
% 0.67/1.06  *** allocated 10000 integers for clauses
% 0.67/1.06  *** allocated 10000 integers for justifications
% 0.67/1.06  Bliksem 1.12
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  Automatic Strategy Selection
% 0.67/1.06  
% 0.67/1.06  Clauses:
% 0.67/1.06  [
% 0.67/1.06     [ ~( p( X, Y, Z ) ), p( Z, Y, X ) ],
% 0.67/1.06     [ ~( p( X, Y, Z ) ), p( Y, X, Z ) ],
% 0.67/1.06     [ ~( p( X, Y, g( Z ) ) ), p( X, Y, Z ) ],
% 0.67/1.06     [ ~( p( f( X ), Y, Z ) ), p( X, Y, Z ) ],
% 0.67/1.06     [ ~( p( a, b, c ) ) ],
% 0.67/1.06     [ p( f( g( a ) ), f( g( b ) ), f( g( c ) ) ) ]
% 0.67/1.06  ] .
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  percentage equality = 0.000000, percentage horn = 1.000000
% 0.67/1.06  This is a near-Horn, non-equality  problem
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  Options Used:
% 0.67/1.06  
% 0.67/1.06  useres =            1
% 0.67/1.06  useparamod =        0
% 0.67/1.06  useeqrefl =         0
% 0.67/1.06  useeqfact =         0
% 0.67/1.06  usefactor =         1
% 0.67/1.06  usesimpsplitting =  0
% 0.67/1.06  usesimpdemod =      0
% 0.67/1.06  usesimpres =        4
% 0.67/1.06  
% 0.67/1.06  resimpinuse      =  1000
% 0.67/1.06  resimpclauses =     20000
% 0.67/1.06  substype =          standard
% 0.67/1.06  backwardsubs =      1
% 0.67/1.06  selectoldest =      5
% 0.67/1.06  
% 0.67/1.06  litorderings [0] =  split
% 0.67/1.06  litorderings [1] =  liftord
% 0.67/1.06  
% 0.67/1.06  termordering =      none
% 0.67/1.06  
% 0.67/1.06  litapriori =        1
% 0.67/1.06  termapriori =       0
% 0.67/1.06  litaposteriori =    0
% 0.67/1.06  termaposteriori =   0
% 0.67/1.06  demodaposteriori =  0
% 0.67/1.06  ordereqreflfact =   0
% 0.67/1.06  
% 0.67/1.06  litselect =         negative
% 0.67/1.06  
% 0.67/1.06  maxweight =         30000
% 0.67/1.06  maxdepth =          30000
% 0.67/1.06  maxlength =         115
% 0.67/1.06  maxnrvars =         195
% 0.67/1.06  excuselevel =       0
% 0.67/1.06  increasemaxweight = 0
% 0.67/1.06  
% 0.67/1.06  maxselected =       10000000
% 0.67/1.06  maxnrclauses =      10000000
% 0.67/1.06  
% 0.67/1.06  showgenerated =    0
% 0.67/1.06  showkept =         0
% 0.67/1.06  showselected =     0
% 0.67/1.06  showdeleted =      0
% 0.67/1.06  showresimp =       1
% 0.67/1.06  showstatus =       2000
% 0.67/1.06  
% 0.67/1.06  prologoutput =     1
% 0.67/1.06  nrgoals =          5000000
% 0.67/1.06  totalproof =       1
% 0.67/1.06  
% 0.67/1.06  Symbols occurring in the translation:
% 0.67/1.06  
% 0.67/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.67/1.06  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.67/1.06  !  [4, 1]      (w:1, o:15, a:1, s:1, b:0), 
% 0.67/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.67/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.67/1.06  p  [42, 3]      (w:1, o:47, a:1, s:1, b:0), 
% 0.67/1.06  g  [43, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.67/1.06  f  [44, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.67/1.06  a  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.67/1.06  b  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.67/1.06  c  [47, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  Starting Search:
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  Bliksems!, er is een bewijs:
% 0.67/1.06  % SZS status Unsatisfiable
% 0.67/1.06  % SZS output start Refutation
% 0.67/1.06  
% 0.67/1.06  clause( 0, [ p( Z, Y, X ), ~( p( X, Y, Z ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 1, [ p( Y, X, Z ), ~( p( X, Y, Z ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 2, [ p( X, Y, Z ), ~( p( X, Y, g( Z ) ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 3, [ p( X, Y, Z ), ~( p( f( X ), Y, Z ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 4, [ ~( p( a, b, c ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 5, [ p( f( g( a ) ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 6, [ p( g( a ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 9, [ p( f( g( c ) ), f( g( b ) ), g( a ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 11, [ p( f( g( c ) ), f( g( b ) ), a ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 14, [ p( g( c ), f( g( b ) ), a ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 17, [ p( a, f( g( b ) ), g( c ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 21, [ p( a, f( g( b ) ), c ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 23, [ p( c, f( g( b ) ), a ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 25, [ p( f( g( b ) ), c, a ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 26, [ p( g( b ), c, a ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 30, [ p( a, c, g( b ) ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 32, [ p( a, c, b ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 34, [ p( b, c, a ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 36, [ p( c, b, a ) ] )
% 0.67/1.06  .
% 0.67/1.06  clause( 39, [] )
% 0.67/1.06  .
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  % SZS output end Refutation
% 0.67/1.06  found a proof!
% 0.67/1.06  
% 0.67/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.06  
% 0.67/1.06  initialclauses(
% 0.67/1.06  [ clause( 41, [ ~( p( X, Y, Z ) ), p( Z, Y, X ) ] )
% 0.67/1.06  , clause( 42, [ ~( p( X, Y, Z ) ), p( Y, X, Z ) ] )
% 0.67/1.06  , clause( 43, [ ~( p( X, Y, g( Z ) ) ), p( X, Y, Z ) ] )
% 0.67/1.06  , clause( 44, [ ~( p( f( X ), Y, Z ) ), p( X, Y, Z ) ] )
% 0.67/1.06  , clause( 45, [ ~( p( a, b, c ) ) ] )
% 0.67/1.06  , clause( 46, [ p( f( g( a ) ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  ] ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 0, [ p( Z, Y, X ), ~( p( X, Y, Z ) ) ] )
% 0.67/1.06  , clause( 41, [ ~( p( X, Y, Z ) ), p( Z, Y, X ) ] )
% 0.67/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.06    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 1, [ p( Y, X, Z ), ~( p( X, Y, Z ) ) ] )
% 0.67/1.06  , clause( 42, [ ~( p( X, Y, Z ) ), p( Y, X, Z ) ] )
% 0.67/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.06    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 2, [ p( X, Y, Z ), ~( p( X, Y, g( Z ) ) ) ] )
% 0.67/1.06  , clause( 43, [ ~( p( X, Y, g( Z ) ) ), p( X, Y, Z ) ] )
% 0.67/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.06    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 3, [ p( X, Y, Z ), ~( p( f( X ), Y, Z ) ) ] )
% 0.67/1.06  , clause( 44, [ ~( p( f( X ), Y, Z ) ), p( X, Y, Z ) ] )
% 0.67/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.06    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 4, [ ~( p( a, b, c ) ) ] )
% 0.67/1.06  , clause( 45, [ ~( p( a, b, c ) ) ] )
% 0.67/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 5, [ p( f( g( a ) ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  , clause( 46, [ p( f( g( a ) ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  resolution(
% 0.67/1.06  clause( 47, [ p( g( a ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  , clause( 3, [ p( X, Y, Z ), ~( p( f( X ), Y, Z ) ) ] )
% 0.67/1.06  , 1, clause( 5, [ p( f( g( a ) ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  , 0, substitution( 0, [ :=( X, g( a ) ), :=( Y, f( g( b ) ) ), :=( Z, f( g( 
% 0.67/1.06    c ) ) )] ), substitution( 1, [] )).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 6, [ p( g( a ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  , clause( 47, [ p( g( a ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  resolution(
% 0.67/1.06  clause( 48, [ p( f( g( c ) ), f( g( b ) ), g( a ) ) ] )
% 0.67/1.06  , clause( 0, [ p( Z, Y, X ), ~( p( X, Y, Z ) ) ] )
% 0.67/1.06  , 1, clause( 6, [ p( g( a ), f( g( b ) ), f( g( c ) ) ) ] )
% 0.67/1.06  , 0, substitution( 0, [ :=( X, g( a ) ), :=( Y, f( g( b ) ) ), :=( Z, f( g( 
% 0.67/1.06    c ) ) )] ), substitution( 1, [] )).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 9, [ p( f( g( c ) ), f( g( b ) ), g( a ) ) ] )
% 0.67/1.06  , clause( 48, [ p( f( g( c ) ), f( g( b ) ), g( a ) ) ] )
% 0.67/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  resolution(
% 0.67/1.06  clause( 49, [ p( f( g( c ) ), f( g( b ) ), a ) ] )
% 0.67/1.06  , clause( 2, [ p( X, Y, Z ), ~( p( X, Y, g( Z ) ) ) ] )
% 0.67/1.06  , 1, clause( 9, [ p( f( g( c ) ), f( g( b ) ), g( a ) ) ] )
% 0.67/1.06  , 0, substitution( 0, [ :=( X, f( g( c ) ) ), :=( Y, f( g( b ) ) ), :=( Z, 
% 0.67/1.06    a )] ), substitution( 1, [] )).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 11, [ p( f( g( c ) ), f( g( b ) ), a ) ] )
% 0.67/1.06  , clause( 49, [ p( f( g( c ) ), f( g( b ) ), a ) ] )
% 0.67/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  resolution(
% 0.67/1.06  clause( 50, [ p( g( c ), f( g( b ) ), a ) ] )
% 0.67/1.06  , clause( 3, [ p( X, Y, Z ), ~( p( f( X ), Y, Z ) ) ] )
% 0.67/1.06  , 1, clause( 11, [ p( f( g( c ) ), f( g( b ) ), a ) ] )
% 0.67/1.06  , 0, substitution( 0, [ :=( X, g( c ) ), :=( Y, f( g( b ) ) ), :=( Z, a )] )
% 0.67/1.06    , substitution( 1, [] )).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 14, [ p( g( c ), f( g( b ) ), a ) ] )
% 0.67/1.06  , clause( 50, [ p( g( c ), f( g( b ) ), a ) ] )
% 0.67/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  resolution(
% 0.67/1.06  clause( 51, [ p( a, f( g( b ) ), g( c ) ) ] )
% 0.67/1.06  , clause( 0, [ p( Z, Y, X ), ~( p( X, Y, Z ) ) ] )
% 0.67/1.06  , 1, clause( 14, [ p( g( c ), f( g( b ) ), a ) ] )
% 0.67/1.06  , 0, substitution( 0, [ :=( X, g( c ) ), :=( Y, f( g( b ) ) ), :=( Z, a )] )
% 0.67/1.06    , substitution( 1, [] )).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 17, [ p( a, f( g( b ) ), g( c ) ) ] )
% 0.67/1.06  , clause( 51, [ p( a, f( g( b ) ), g( c ) ) ] )
% 0.67/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  resolution(
% 0.67/1.06  clause( 52, [ p( a, f( g( b ) ), c ) ] )
% 0.67/1.06  , clause( 2, [ p( X, Y, Z ), ~( p( X, Y, g( Z ) ) ) ] )
% 0.67/1.06  , 1, clause( 17, [ p( a, f( g( b ) ), g( c ) ) ] )
% 0.67/1.06  , 0, substitution( 0, [ :=( X, a ), :=( Y, f( g( b ) ) ), :=( Z, c )] ), 
% 0.67/1.06    substitution( 1, [] )).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 21, [ p( a, f( g( b ) ), c ) ] )
% 0.67/1.06  , clause( 52, [ p( a, f( g( b ) ), c ) ] )
% 0.67/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  resolution(
% 0.67/1.06  clause( 53, [ p( c, f( g( b ) ), a ) ] )
% 0.67/1.06  , clause( 0, [ p( Z, Y, X ), ~( p( X, Y, Z ) ) ] )
% 0.67/1.06  , 1, clause( 21, [ p( a, f( g( b ) ), c ) ] )
% 0.67/1.06  , 0, substitution( 0, [ :=( X, a ), :=( Y, f( g( b ) ) ), :=( Z, c )] ), 
% 0.67/1.06    substitution( 1, [] )).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 23, [ p( c, f( g( b ) ), a ) ] )
% 0.67/1.06  , clause( 53, [ p( c, f( g( b ) ), a ) ] )
% 0.67/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  resolution(
% 0.67/1.06  clause( 54, [ p( f( g( b ) ), c, a ) ] )
% 0.67/1.06  , clause( 1, [ p( Y, X, Z ), ~( p( X, Y, Z ) ) ] )
% 0.67/1.06  , 1, clause( 23, [ p( c, f( g( b ) ), a ) ] )
% 0.67/1.06  , 0, substitution( 0, [ :=( X, c ), :=( Y, f( g( b ) ) ), :=( Z, a )] ), 
% 0.67/1.06    substitution( 1, [] )).
% 0.67/1.06  
% 0.67/1.06  
% 0.67/1.06  subsumption(
% 0.67/1.06  clause( 25, [ p( f( g( b ) ), c, a ) ] )
% 0.71/1.06  , clause( 54, [ p( f( g( b ) ), c, a ) ] )
% 0.71/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  resolution(
% 0.71/1.06  clause( 55, [ p( g( b ), c, a ) ] )
% 0.71/1.06  , clause( 3, [ p( X, Y, Z ), ~( p( f( X ), Y, Z ) ) ] )
% 0.71/1.06  , 1, clause( 25, [ p( f( g( b ) ), c, a ) ] )
% 0.71/1.06  , 0, substitution( 0, [ :=( X, g( b ) ), :=( Y, c ), :=( Z, a )] ), 
% 0.71/1.06    substitution( 1, [] )).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  subsumption(
% 0.71/1.06  clause( 26, [ p( g( b ), c, a ) ] )
% 0.71/1.06  , clause( 55, [ p( g( b ), c, a ) ] )
% 0.71/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  resolution(
% 0.71/1.06  clause( 56, [ p( a, c, g( b ) ) ] )
% 0.71/1.06  , clause( 0, [ p( Z, Y, X ), ~( p( X, Y, Z ) ) ] )
% 0.71/1.06  , 1, clause( 26, [ p( g( b ), c, a ) ] )
% 0.71/1.06  , 0, substitution( 0, [ :=( X, g( b ) ), :=( Y, c ), :=( Z, a )] ), 
% 0.71/1.06    substitution( 1, [] )).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  subsumption(
% 0.71/1.06  clause( 30, [ p( a, c, g( b ) ) ] )
% 0.71/1.06  , clause( 56, [ p( a, c, g( b ) ) ] )
% 0.71/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  resolution(
% 0.71/1.06  clause( 57, [ p( a, c, b ) ] )
% 0.71/1.06  , clause( 2, [ p( X, Y, Z ), ~( p( X, Y, g( Z ) ) ) ] )
% 0.71/1.06  , 1, clause( 30, [ p( a, c, g( b ) ) ] )
% 0.71/1.06  , 0, substitution( 0, [ :=( X, a ), :=( Y, c ), :=( Z, b )] ), 
% 0.71/1.06    substitution( 1, [] )).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  subsumption(
% 0.71/1.06  clause( 32, [ p( a, c, b ) ] )
% 0.71/1.06  , clause( 57, [ p( a, c, b ) ] )
% 0.71/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  resolution(
% 0.71/1.06  clause( 58, [ p( b, c, a ) ] )
% 0.71/1.06  , clause( 0, [ p( Z, Y, X ), ~( p( X, Y, Z ) ) ] )
% 0.71/1.06  , 1, clause( 32, [ p( a, c, b ) ] )
% 0.71/1.06  , 0, substitution( 0, [ :=( X, a ), :=( Y, c ), :=( Z, b )] ), 
% 0.71/1.06    substitution( 1, [] )).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  subsumption(
% 0.71/1.06  clause( 34, [ p( b, c, a ) ] )
% 0.71/1.06  , clause( 58, [ p( b, c, a ) ] )
% 0.71/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  resolution(
% 0.71/1.06  clause( 59, [ p( c, b, a ) ] )
% 0.71/1.06  , clause( 1, [ p( Y, X, Z ), ~( p( X, Y, Z ) ) ] )
% 0.71/1.06  , 1, clause( 34, [ p( b, c, a ) ] )
% 0.71/1.06  , 0, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, a )] ), 
% 0.71/1.06    substitution( 1, [] )).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  subsumption(
% 0.71/1.06  clause( 36, [ p( c, b, a ) ] )
% 0.71/1.06  , clause( 59, [ p( c, b, a ) ] )
% 0.71/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  resolution(
% 0.71/1.06  clause( 60, [ p( a, b, c ) ] )
% 0.71/1.06  , clause( 0, [ p( Z, Y, X ), ~( p( X, Y, Z ) ) ] )
% 0.71/1.06  , 1, clause( 36, [ p( c, b, a ) ] )
% 0.71/1.06  , 0, substitution( 0, [ :=( X, c ), :=( Y, b ), :=( Z, a )] ), 
% 0.71/1.06    substitution( 1, [] )).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  resolution(
% 0.71/1.06  clause( 61, [] )
% 0.71/1.06  , clause( 4, [ ~( p( a, b, c ) ) ] )
% 0.71/1.06  , 0, clause( 60, [ p( a, b, c ) ] )
% 0.71/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  subsumption(
% 0.71/1.06  clause( 39, [] )
% 0.71/1.06  , clause( 61, [] )
% 0.71/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  end.
% 0.71/1.06  
% 0.71/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.06  
% 0.71/1.06  Memory use:
% 0.71/1.06  
% 0.71/1.06  space for terms:        435
% 0.71/1.06  space for clauses:      2455
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  clauses generated:      49
% 0.71/1.06  clauses kept:           40
% 0.71/1.06  clauses selected:       22
% 0.71/1.06  clauses deleted:        0
% 0.71/1.06  clauses inuse deleted:  0
% 0.71/1.06  
% 0.71/1.06  subsentry:          20
% 0.71/1.06  literals s-matched: 20
% 0.71/1.06  literals matched:   20
% 0.71/1.06  full subsumption:   0
% 0.71/1.06  
% 0.71/1.06  checksum:           28233854
% 0.71/1.06  
% 0.71/1.06  
% 0.71/1.06  Bliksem ended
%------------------------------------------------------------------------------