TSTP Solution File: SYN591-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN591-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n012.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 02:53:11 EDT 2022

% Result   : Unsatisfiable 0.40s 1.09s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN591-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n012.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 01:03:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.40/1.09  *** allocated 10000 integers for termspace/termends
% 0.40/1.09  *** allocated 10000 integers for clauses
% 0.40/1.09  *** allocated 10000 integers for justifications
% 0.40/1.09  Bliksem 1.12
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  Automatic Strategy Selection
% 0.40/1.09  
% 0.40/1.09  Clauses:
% 0.40/1.09  [
% 0.40/1.09     [ p9( c14 ) ],
% 0.40/1.09     [ p8( c13 ) ],
% 0.40/1.09     [ p7( X, X ) ],
% 0.40/1.09     [ p2( X, X ) ],
% 0.40/1.09     [ p3( X, X ) ],
% 0.40/1.09     [ p10( c14, X ) ],
% 0.40/1.09     [ p10( c13, c15 ) ],
% 0.40/1.09     [ p10( c13, c17 ) ],
% 0.40/1.09     [ p10( c13, c16 ) ],
% 0.40/1.09     [ ~( p2( c15, c17 ) ) ],
% 0.40/1.09     [ p12( c14, f4( c18, c17 ) ) ],
% 0.40/1.09     [ ~( p11( c13, f4( c17, f6( c18 ) ) ) ) ],
% 0.40/1.09     [ ~( p11( c13, f4( f6( c18 ), c17 ) ) ) ],
% 0.40/1.09     [ p8( X ), ~( p8( Y ) ), ~( p7( Y, X ) ) ],
% 0.40/1.09     [ p9( X ), ~( p9( Y ) ), ~( p7( Y, X ) ) ],
% 0.40/1.09     [ p11( c14, f4( c15, X ) ), ~( p10( c13, X ) ) ],
% 0.40/1.09     [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.40/1.09     [ p2( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ],
% 0.40/1.09     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.40/1.09     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.40/1.09     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.40/1.09     [ p2( f6( X ), f5( X ) ), ~( p12( c14, f4( X, c17 ) ) ) ],
% 0.40/1.09     [ p10( X, Y ), ~( p2( Z, Y ) ), ~( p7( T, X ) ), ~( p10( T, Z ) ) ],
% 0.40/1.09     [ p12( X, Y ), ~( p3( Z, Y ) ), ~( p7( T, X ) ), ~( p12( T, Z ) ) ],
% 0.40/1.09     [ p11( X, Y ), ~( p3( Z, Y ) ), ~( p7( T, X ) ), ~( p11( T, Z ) ) ],
% 0.40/1.09     [ p3( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.40/1.09     [ p11( c13, f4( c17, f5( X ) ) ), p11( c13, f4( f5( X ), c17 ) ), ~( p12( 
% 0.40/1.09    c14, f4( X, c17 ) ) ) ]
% 0.40/1.09  ] .
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  percentage equality = 0.000000, percentage horn = 0.962963
% 0.40/1.09  This is a near-Horn, non-equality  problem
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  Options Used:
% 0.40/1.09  
% 0.40/1.09  useres =            1
% 0.40/1.09  useparamod =        0
% 0.40/1.09  useeqrefl =         0
% 0.40/1.09  useeqfact =         0
% 0.40/1.09  usefactor =         1
% 0.40/1.09  usesimpsplitting =  0
% 0.40/1.09  usesimpdemod =      0
% 0.40/1.09  usesimpres =        4
% 0.40/1.09  
% 0.40/1.09  resimpinuse      =  1000
% 0.40/1.09  resimpclauses =     20000
% 0.40/1.09  substype =          standard
% 0.40/1.09  backwardsubs =      1
% 0.40/1.09  selectoldest =      5
% 0.40/1.09  
% 0.40/1.09  litorderings [0] =  split
% 0.40/1.09  litorderings [1] =  liftord
% 0.40/1.09  
% 0.40/1.09  termordering =      none
% 0.40/1.09  
% 0.40/1.09  litapriori =        1
% 0.40/1.09  termapriori =       0
% 0.40/1.09  litaposteriori =    0
% 0.40/1.09  termaposteriori =   0
% 0.40/1.09  demodaposteriori =  0
% 0.40/1.09  ordereqreflfact =   0
% 0.40/1.09  
% 0.40/1.09  litselect =         negative
% 0.40/1.09  
% 0.40/1.09  maxweight =         30000
% 0.40/1.09  maxdepth =          30000
% 0.40/1.09  maxlength =         115
% 0.40/1.09  maxnrvars =         195
% 0.40/1.09  excuselevel =       0
% 0.40/1.09  increasemaxweight = 0
% 0.40/1.09  
% 0.40/1.09  maxselected =       10000000
% 0.40/1.09  maxnrclauses =      10000000
% 0.40/1.09  
% 0.40/1.09  showgenerated =    0
% 0.40/1.09  showkept =         0
% 0.40/1.09  showselected =     0
% 0.40/1.09  showdeleted =      0
% 0.40/1.09  showresimp =       1
% 0.40/1.09  showstatus =       2000
% 0.40/1.09  
% 0.40/1.09  prologoutput =     1
% 0.40/1.09  nrgoals =          5000000
% 0.40/1.09  totalproof =       1
% 0.40/1.09  
% 0.40/1.09  Symbols occurring in the translation:
% 0.40/1.09  
% 0.40/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.40/1.09  .  [1, 2]      (w:1, o:61, a:1, s:1, b:0), 
% 0.40/1.09  !  [4, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 0.40/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.40/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.40/1.09  c14  [39, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.40/1.09  p9  [40, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 0.40/1.09  c13  [41, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.40/1.09  p8  [42, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 0.40/1.09  p7  [44, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 0.40/1.09  p2  [46, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 0.40/1.09  p3  [48, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 0.40/1.09  p10  [50, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 0.40/1.09  c15  [51, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 0.40/1.09  c17  [52, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 0.40/1.09  c16  [53, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 0.40/1.09  c18  [54, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 0.40/1.09  f4  [55, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 0.40/1.09  p12  [56, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 0.40/1.09  f6  [57, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 0.40/1.09  p11  [58, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 0.40/1.09  f5  [65, 1]      (w:1, o:59, a:1, s:1, b:0).
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  Starting Search:
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  Bliksems!, er is een bewijs:
% 0.40/1.09  % SZS status Unsatisfiable
% 0.40/1.09  % SZS output start Refutation
% 0.40/1.09  
% 0.40/1.09  clause( 2, [ p7( X, X ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 3, [ p2( X, X ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 10, [ p12( c14, f4( c18, c17 ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 11, [ ~( p11( c13, f4( c17, f6( c18 ) ) ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 12, [ ~( p11( c13, f4( f6( c18 ), c17 ) ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 19, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 21, [ p2( f6( X ), f5( X ) ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 24, [ p11( X, Y ), ~( p3( Z, Y ) ), ~( p11( T, Z ) ), ~( p7( T, X )
% 0.40/1.09     ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 25, [ ~( p2( X, Z ) ), p3( f4( X, Y ), f4( Z, T ) ), ~( p2( Y, T )
% 0.40/1.09     ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 26, [ p11( c13, f4( f5( X ), c17 ) ), p11( c13, f4( c17, f5( X ) )
% 0.40/1.09     ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 34, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 36, [ p2( f6( c18 ), f5( c18 ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 38, [ p2( f5( c18 ), f6( c18 ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 80, [ p11( X, Y ), ~( p11( X, Z ) ), ~( p3( Z, Y ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 109, [ p3( f4( X, f5( c18 ) ), f4( Y, f6( c18 ) ) ), ~( p2( X, Y )
% 0.40/1.09     ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 111, [ p3( f4( X, Z ), f4( Y, Z ) ), ~( p2( X, Y ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 126, [ p11( c13, f4( f5( c18 ), c17 ) ), p11( c13, f4( c17, f5( c18
% 0.40/1.09     ) ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 139, [ p3( f4( f5( c18 ), X ), f4( f6( c18 ), X ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 142, [ p11( X, f4( f6( c18 ), Y ) ), ~( p11( X, f4( f5( c18 ), Y )
% 0.40/1.09     ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 350, [ p3( f4( X, f5( c18 ) ), f4( X, f6( c18 ) ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 352, [ p11( X, f4( Y, f6( c18 ) ) ), ~( p11( X, f4( Y, f5( c18 ) )
% 0.40/1.09     ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 365, [ p11( c13, f4( f5( c18 ), c17 ) ) ] )
% 0.40/1.09  .
% 0.40/1.09  clause( 366, [] )
% 0.40/1.09  .
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  % SZS output end Refutation
% 0.72/1.09  found a proof!
% 0.72/1.09  
% 0.72/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09  
% 0.72/1.09  initialclauses(
% 0.72/1.09  [ clause( 368, [ p9( c14 ) ] )
% 0.72/1.09  , clause( 369, [ p8( c13 ) ] )
% 0.72/1.09  , clause( 370, [ p7( X, X ) ] )
% 0.72/1.09  , clause( 371, [ p2( X, X ) ] )
% 0.72/1.09  , clause( 372, [ p3( X, X ) ] )
% 0.72/1.09  , clause( 373, [ p10( c14, X ) ] )
% 0.72/1.09  , clause( 374, [ p10( c13, c15 ) ] )
% 0.72/1.09  , clause( 375, [ p10( c13, c17 ) ] )
% 0.72/1.09  , clause( 376, [ p10( c13, c16 ) ] )
% 0.72/1.09  , clause( 377, [ ~( p2( c15, c17 ) ) ] )
% 0.72/1.09  , clause( 378, [ p12( c14, f4( c18, c17 ) ) ] )
% 0.72/1.09  , clause( 379, [ ~( p11( c13, f4( c17, f6( c18 ) ) ) ) ] )
% 0.72/1.09  , clause( 380, [ ~( p11( c13, f4( f6( c18 ), c17 ) ) ) ] )
% 0.72/1.09  , clause( 381, [ p8( X ), ~( p8( Y ) ), ~( p7( Y, X ) ) ] )
% 0.72/1.09  , clause( 382, [ p9( X ), ~( p9( Y ) ), ~( p7( Y, X ) ) ] )
% 0.72/1.09  , clause( 383, [ p11( c14, f4( c15, X ) ), ~( p10( c13, X ) ) ] )
% 0.72/1.09  , clause( 384, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.72/1.09  , clause( 385, [ p2( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ] )
% 0.72/1.09  , clause( 386, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.72/1.09  , clause( 387, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.72/1.09  , clause( 388, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.72/1.09  , clause( 389, [ p2( f6( X ), f5( X ) ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.72/1.09  , clause( 390, [ p10( X, Y ), ~( p2( Z, Y ) ), ~( p7( T, X ) ), ~( p10( T, 
% 0.72/1.09    Z ) ) ] )
% 0.72/1.09  , clause( 391, [ p12( X, Y ), ~( p3( Z, Y ) ), ~( p7( T, X ) ), ~( p12( T, 
% 0.72/1.09    Z ) ) ] )
% 0.72/1.09  , clause( 392, [ p11( X, Y ), ~( p3( Z, Y ) ), ~( p7( T, X ) ), ~( p11( T, 
% 0.72/1.09    Z ) ) ] )
% 0.72/1.09  , clause( 393, [ p3( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , clause( 394, [ p11( c13, f4( c17, f5( X ) ) ), p11( c13, f4( f5( X ), c17
% 0.72/1.09     ) ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.72/1.09  ] ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 2, [ p7( X, X ) ] )
% 0.72/1.09  , clause( 370, [ p7( X, X ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 3, [ p2( X, X ) ] )
% 0.72/1.09  , clause( 371, [ p2( X, X ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 10, [ p12( c14, f4( c18, c17 ) ) ] )
% 0.72/1.09  , clause( 378, [ p12( c14, f4( c18, c17 ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 11, [ ~( p11( c13, f4( c17, f6( c18 ) ) ) ) ] )
% 0.72/1.09  , clause( 379, [ ~( p11( c13, f4( c17, f6( c18 ) ) ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 12, [ ~( p11( c13, f4( f6( c18 ), c17 ) ) ) ] )
% 0.72/1.09  , clause( 380, [ ~( p11( c13, f4( f6( c18 ), c17 ) ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 19, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.72/1.09  , clause( 387, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.09    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 21, [ p2( f6( X ), f5( X ) ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.72/1.09  , clause( 389, [ p2( f6( X ), f5( X ) ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.09    1 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 24, [ p11( X, Y ), ~( p3( Z, Y ) ), ~( p11( T, Z ) ), ~( p7( T, X )
% 0.72/1.09     ) ] )
% 0.72/1.09  , clause( 392, [ p11( X, Y ), ~( p3( Z, Y ) ), ~( p7( T, X ) ), ~( p11( T, 
% 0.72/1.09    Z ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.72/1.09    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.72/1.09     ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 25, [ ~( p2( X, Z ) ), p3( f4( X, Y ), f4( Z, T ) ), ~( p2( Y, T )
% 0.72/1.09     ) ] )
% 0.72/1.09  , clause( 393, [ p3( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.72/1.09    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 26, [ p11( c13, f4( f5( X ), c17 ) ), p11( c13, f4( c17, f5( X ) )
% 0.72/1.09     ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.72/1.09  , clause( 394, [ p11( c13, f4( c17, f5( X ) ) ), p11( c13, f4( f5( X ), c17
% 0.72/1.09     ) ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.72/1.09    0 ), ==>( 2, 2 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 412, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.72/1.09  , clause( 19, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.72/1.09  , 2, clause( 3, [ p2( X, X ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.72/1.09    substitution( 1, [ :=( X, X )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 34, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.72/1.09  , clause( 412, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.09     ), ==>( 1, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 413, [ p2( f6( c18 ), f5( c18 ) ) ] )
% 0.72/1.09  , clause( 21, [ p2( f6( X ), f5( X ) ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.72/1.09  , 1, clause( 10, [ p12( c14, f4( c18, c17 ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, c18 )] ), substitution( 1, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 36, [ p2( f6( c18 ), f5( c18 ) ) ] )
% 0.72/1.09  , clause( 413, [ p2( f6( c18 ), f5( c18 ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 414, [ p2( f5( c18 ), f6( c18 ) ) ] )
% 0.72/1.09  , clause( 34, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.72/1.09  , 1, clause( 36, [ p2( f6( c18 ), f5( c18 ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, f6( c18 ) ), :=( Y, f5( c18 ) )] ), 
% 0.72/1.09    substitution( 1, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 38, [ p2( f5( c18 ), f6( c18 ) ) ] )
% 0.72/1.09  , clause( 414, [ p2( f5( c18 ), f6( c18 ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 415, [ p11( X, Y ), ~( p3( Z, Y ) ), ~( p11( X, Z ) ) ] )
% 0.72/1.09  , clause( 24, [ p11( X, Y ), ~( p3( Z, Y ) ), ~( p11( T, Z ) ), ~( p7( T, X
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , 3, clause( 2, [ p7( X, X ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ), 
% 0.72/1.09    substitution( 1, [ :=( X, X )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 80, [ p11( X, Y ), ~( p11( X, Z ) ), ~( p3( Z, Y ) ) ] )
% 0.72/1.09  , clause( 415, [ p11( X, Y ), ~( p3( Z, Y ) ), ~( p11( X, Z ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.09    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 417, [ ~( p2( X, Y ) ), p3( f4( X, f5( c18 ) ), f4( Y, f6( c18 ) )
% 0.72/1.09     ) ] )
% 0.72/1.09  , clause( 25, [ ~( p2( X, Z ) ), p3( f4( X, Y ), f4( Z, T ) ), ~( p2( Y, T
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , 2, clause( 38, [ p2( f5( c18 ), f6( c18 ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, f5( c18 ) ), :=( Z, Y ), :=( T, 
% 0.72/1.09    f6( c18 ) )] ), substitution( 1, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 109, [ p3( f4( X, f5( c18 ) ), f4( Y, f6( c18 ) ) ), ~( p2( X, Y )
% 0.72/1.09     ) ] )
% 0.72/1.09  , clause( 417, [ ~( p2( X, Y ) ), p3( f4( X, f5( c18 ) ), f4( Y, f6( c18 )
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.09     ), ==>( 1, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 419, [ ~( p2( X, Y ) ), p3( f4( X, Z ), f4( Y, Z ) ) ] )
% 0.72/1.09  , clause( 25, [ ~( p2( X, Z ) ), p3( f4( X, Y ), f4( Z, T ) ), ~( p2( Y, T
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , 2, clause( 3, [ p2( X, X ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, Z )] ), 
% 0.72/1.09    substitution( 1, [ :=( X, Z )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 111, [ p3( f4( X, Z ), f4( Y, Z ) ), ~( p2( X, Y ) ) ] )
% 0.72/1.09  , clause( 419, [ ~( p2( X, Y ) ), p3( f4( X, Z ), f4( Y, Z ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.09    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 420, [ p11( c13, f4( f5( c18 ), c17 ) ), p11( c13, f4( c17, f5( c18
% 0.72/1.09     ) ) ) ] )
% 0.72/1.09  , clause( 26, [ p11( c13, f4( f5( X ), c17 ) ), p11( c13, f4( c17, f5( X )
% 0.72/1.09     ) ), ~( p12( c14, f4( X, c17 ) ) ) ] )
% 0.72/1.09  , 2, clause( 10, [ p12( c14, f4( c18, c17 ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, c18 )] ), substitution( 1, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 126, [ p11( c13, f4( f5( c18 ), c17 ) ), p11( c13, f4( c17, f5( c18
% 0.72/1.09     ) ) ) ] )
% 0.72/1.09  , clause( 420, [ p11( c13, f4( f5( c18 ), c17 ) ), p11( c13, f4( c17, f5( 
% 0.72/1.09    c18 ) ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.09     ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 421, [ p3( f4( f5( c18 ), X ), f4( f6( c18 ), X ) ) ] )
% 0.72/1.09  , clause( 111, [ p3( f4( X, Z ), f4( Y, Z ) ), ~( p2( X, Y ) ) ] )
% 0.72/1.09  , 1, clause( 38, [ p2( f5( c18 ), f6( c18 ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, f5( c18 ) ), :=( Y, f6( c18 ) ), :=( Z, X )] )
% 0.72/1.09    , substitution( 1, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 139, [ p3( f4( f5( c18 ), X ), f4( f6( c18 ), X ) ) ] )
% 0.72/1.09  , clause( 421, [ p3( f4( f5( c18 ), X ), f4( f6( c18 ), X ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 422, [ p11( X, f4( f6( c18 ), Y ) ), ~( p11( X, f4( f5( c18 ), Y )
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , clause( 80, [ p11( X, Y ), ~( p11( X, Z ) ), ~( p3( Z, Y ) ) ] )
% 0.72/1.09  , 2, clause( 139, [ p3( f4( f5( c18 ), X ), f4( f6( c18 ), X ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, f4( f6( c18 ), Y ) ), :=( Z, f4( 
% 0.72/1.09    f5( c18 ), Y ) )] ), substitution( 1, [ :=( X, Y )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 142, [ p11( X, f4( f6( c18 ), Y ) ), ~( p11( X, f4( f5( c18 ), Y )
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , clause( 422, [ p11( X, f4( f6( c18 ), Y ) ), ~( p11( X, f4( f5( c18 ), Y
% 0.72/1.09     ) ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09     ), ==>( 1, 1 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 423, [ p3( f4( X, f5( c18 ) ), f4( X, f6( c18 ) ) ) ] )
% 0.72/1.09  , clause( 109, [ p3( f4( X, f5( c18 ) ), f4( Y, f6( c18 ) ) ), ~( p2( X, Y
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , 1, clause( 3, [ p2( X, X ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.72/1.09    , X )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 350, [ p3( f4( X, f5( c18 ) ), f4( X, f6( c18 ) ) ) ] )
% 0.72/1.09  , clause( 423, [ p3( f4( X, f5( c18 ) ), f4( X, f6( c18 ) ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 424, [ p11( X, f4( Y, f6( c18 ) ) ), ~( p11( X, f4( Y, f5( c18 ) )
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , clause( 80, [ p11( X, Y ), ~( p11( X, Z ) ), ~( p3( Z, Y ) ) ] )
% 0.72/1.09  , 2, clause( 350, [ p3( f4( X, f5( c18 ) ), f4( X, f6( c18 ) ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, f4( Y, f6( c18 ) ) ), :=( Z, f4( 
% 0.72/1.09    Y, f5( c18 ) ) )] ), substitution( 1, [ :=( X, Y )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 352, [ p11( X, f4( Y, f6( c18 ) ) ), ~( p11( X, f4( Y, f5( c18 ) )
% 0.72/1.09     ) ) ] )
% 0.72/1.09  , clause( 424, [ p11( X, f4( Y, f6( c18 ) ) ), ~( p11( X, f4( Y, f5( c18 )
% 0.72/1.09     ) ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09     ), ==>( 1, 1 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 425, [ p11( c13, f4( c17, f6( c18 ) ) ), p11( c13, f4( f5( c18 ), 
% 0.72/1.09    c17 ) ) ] )
% 0.72/1.09  , clause( 352, [ p11( X, f4( Y, f6( c18 ) ) ), ~( p11( X, f4( Y, f5( c18 )
% 0.72/1.09     ) ) ) ] )
% 0.72/1.09  , 1, clause( 126, [ p11( c13, f4( f5( c18 ), c17 ) ), p11( c13, f4( c17, f5( 
% 0.72/1.09    c18 ) ) ) ] )
% 0.72/1.09  , 1, substitution( 0, [ :=( X, c13 ), :=( Y, c17 )] ), substitution( 1, [] )
% 0.72/1.09    ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 426, [ p11( c13, f4( f5( c18 ), c17 ) ) ] )
% 0.72/1.09  , clause( 11, [ ~( p11( c13, f4( c17, f6( c18 ) ) ) ) ] )
% 0.72/1.09  , 0, clause( 425, [ p11( c13, f4( c17, f6( c18 ) ) ), p11( c13, f4( f5( c18
% 0.72/1.09     ), c17 ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 365, [ p11( c13, f4( f5( c18 ), c17 ) ) ] )
% 0.72/1.09  , clause( 426, [ p11( c13, f4( f5( c18 ), c17 ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 427, [ p11( c13, f4( f6( c18 ), c17 ) ) ] )
% 0.72/1.09  , clause( 142, [ p11( X, f4( f6( c18 ), Y ) ), ~( p11( X, f4( f5( c18 ), Y
% 0.72/1.09     ) ) ) ] )
% 0.72/1.09  , 1, clause( 365, [ p11( c13, f4( f5( c18 ), c17 ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, c13 ), :=( Y, c17 )] ), substitution( 1, [] )
% 0.72/1.09    ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 428, [] )
% 0.72/1.09  , clause( 12, [ ~( p11( c13, f4( f6( c18 ), c17 ) ) ) ] )
% 0.72/1.10  , 0, clause( 427, [ p11( c13, f4( f6( c18 ), c17 ) ) ] )
% 0.72/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  subsumption(
% 0.72/1.10  clause( 366, [] )
% 0.72/1.10  , clause( 428, [] )
% 0.72/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  end.
% 0.72/1.10  
% 0.72/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10  
% 0.72/1.10  Memory use:
% 0.72/1.10  
% 0.72/1.10  space for terms:        5763
% 0.72/1.10  space for clauses:      32582
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  clauses generated:      478
% 0.72/1.10  clauses kept:           367
% 0.72/1.10  clauses selected:       123
% 0.72/1.10  clauses deleted:        0
% 0.72/1.10  clauses inuse deleted:  0
% 0.72/1.10  
% 0.72/1.10  subsentry:          313
% 0.72/1.10  literals s-matched: 197
% 0.72/1.10  literals matched:   196
% 0.72/1.10  full subsumption:   0
% 0.72/1.10  
% 0.72/1.10  checksum:           345337276
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Bliksem ended
%------------------------------------------------------------------------------