TSTP Solution File: GEO003-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO003-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.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 : Sat Jul 16 02:50:42 EDT 2022

% Result   : Unsatisfiable 0.80s 1.21s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14  % Problem  : GEO003-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.10/0.15  % Command  : bliksem %s
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % DateTime : Fri Jun 17 17:48:43 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.80/1.21  *** allocated 10000 integers for termspace/termends
% 0.80/1.21  *** allocated 10000 integers for clauses
% 0.80/1.21  *** allocated 10000 integers for justifications
% 0.80/1.21  Bliksem 1.12
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  Automatic Strategy Selection
% 0.80/1.21  
% 0.80/1.21  Clauses:
% 0.80/1.21  [
% 0.80/1.21     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.80/1.21     [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, Y, T ) ]
% 0.80/1.21    ,
% 0.80/1.21     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between( 
% 0.80/1.21    X, Z, T ), between( X, T, Z ) ],
% 0.80/1.21     [ equidistant( X, Y, Y, X ) ],
% 0.80/1.21     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.80/1.21     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 0.80/1.21    equidistant( Z, T, U, W ) ],
% 0.80/1.21     [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X, 
% 0.80/1.21    'outer_pasch'( Y, X, T, U, Z ), T ) ],
% 0.80/1.21     [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U, Y, 
% 0.80/1.21    'outer_pasch'( Y, X, T, U, Z ) ) ],
% 0.80/1.21     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.80/1.21    X, U, euclid1( Z, X, T, U, Y ) ) ],
% 0.80/1.21     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.80/1.21    X, T, euclid2( Z, X, T, U, Y ) ) ],
% 0.80/1.21     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.80/1.21    euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ],
% 0.80/1.21     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 0.80/1.21    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 0.80/1.21    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.80/1.21    , V0, W, V1 ) ],
% 0.80/1.21     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.80/1.21     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.80/1.21     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 0.80/1.21    'lower_dimension_point_3' ) ) ],
% 0.80/1.21     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 0.80/1.21    'lower_dimension_point_1' ) ) ],
% 0.80/1.21     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.80/1.21    'lower_dimension_point_2' ) ) ],
% 0.80/1.21     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 0.80/1.21    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 0.80/1.21    between( U, X, T ), =( Y, Z ) ],
% 0.80/1.21     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 0.80/1.21    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 0.80/1.21    continuous( Y, W, T, Z, U, X ) ) ],
% 0.80/1.21     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 0.80/1.21    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( Y
% 0.80/1.21    , W, T, Z, U, X ), U ) ],
% 0.80/1.21     [ ~( between( a, b, b ) ) ]
% 0.80/1.21  ] .
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  percentage equality = 0.123077, percentage horn = 0.714286
% 0.80/1.21  This is a problem with some equality
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  Options Used:
% 0.80/1.21  
% 0.80/1.21  useres =            1
% 0.80/1.21  useparamod =        1
% 0.80/1.21  useeqrefl =         1
% 0.80/1.21  useeqfact =         1
% 0.80/1.21  usefactor =         1
% 0.80/1.21  usesimpsplitting =  0
% 0.80/1.21  usesimpdemod =      5
% 0.80/1.21  usesimpres =        3
% 0.80/1.21  
% 0.80/1.21  resimpinuse      =  1000
% 0.80/1.21  resimpclauses =     20000
% 0.80/1.21  substype =          eqrewr
% 0.80/1.21  backwardsubs =      1
% 0.80/1.21  selectoldest =      5
% 0.80/1.21  
% 0.80/1.21  litorderings [0] =  split
% 0.80/1.21  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.80/1.21  
% 0.80/1.21  termordering =      kbo
% 0.80/1.21  
% 0.80/1.21  litapriori =        0
% 0.80/1.21  termapriori =       1
% 0.80/1.21  litaposteriori =    0
% 0.80/1.21  termaposteriori =   0
% 0.80/1.21  demodaposteriori =  0
% 0.80/1.21  ordereqreflfact =   0
% 0.80/1.21  
% 0.80/1.21  litselect =         negord
% 0.80/1.21  
% 0.80/1.21  maxweight =         15
% 0.80/1.21  maxdepth =          30000
% 0.80/1.21  maxlength =         115
% 0.80/1.21  maxnrvars =         195
% 0.80/1.21  excuselevel =       1
% 0.80/1.21  increasemaxweight = 1
% 0.80/1.21  
% 0.80/1.21  maxselected =       10000000
% 0.80/1.21  maxnrclauses =      10000000
% 0.80/1.21  
% 0.80/1.21  showgenerated =    0
% 0.80/1.21  showkept =         0
% 0.80/1.21  showselected =     0
% 0.80/1.21  showdeleted =      0
% 0.80/1.21  showresimp =       1
% 0.80/1.21  showstatus =       2000
% 0.80/1.21  
% 0.80/1.21  prologoutput =     1
% 0.80/1.21  nrgoals =          5000000
% 0.80/1.21  totalproof =       1
% 0.80/1.21  
% 0.80/1.21  Symbols occurring in the translation:
% 0.80/1.21  
% 0.80/1.21  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.80/1.21  .  [1, 2]      (w:1, o:29, a:1, s:1, b:0), 
% 0.80/1.21  !  [4, 1]      (w:0, o:24, a:1, s:1, b:0), 
% 0.80/1.21  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.80/1.21  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.80/1.21  between  [41, 3]      (w:1, o:54, a:1, s:1, b:0), 
% 0.80/1.21  equidistant  [44, 4]      (w:1, o:55, a:1, s:1, b:0), 
% 0.80/1.21  'outer_pasch'  [47, 5]      (w:1, o:57, a:1, s:1, b:0), 
% 0.80/1.21  euclid1  [48, 5]      (w:1, o:58, a:1, s:1, b:0), 
% 0.80/1.21  euclid2  [49, 5]      (w:1, o:59, a:1, s:1, b:0), 
% 0.80/1.21  extension  [54, 4]      (w:1, o:56, a:1, s:1, b:0), 
% 0.80/1.21  'lower_dimension_point_1'  [55, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 0.80/1.21  'lower_dimension_point_2'  [56, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 0.80/1.21  'lower_dimension_point_3'  [57, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 0.80/1.21  continuous  [58, 6]      (w:1, o:60, a:1, s:1, b:0), 
% 0.80/1.21  a  [59, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 0.80/1.21  b  [60, 0]      (w:1, o:23, a:1, s:1, b:0).
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  Starting Search:
% 0.80/1.21  
% 0.80/1.21  Resimplifying inuse:
% 0.80/1.21  Done
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  Bliksems!, er is een bewijs:
% 0.80/1.21  % SZS status Unsatisfiable
% 0.80/1.21  % SZS output start Refutation
% 0.80/1.21  
% 0.80/1.21  clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.80/1.21  .
% 0.80/1.21  clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.80/1.21  .
% 0.80/1.21  clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.80/1.21  .
% 0.80/1.21  clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.80/1.21  .
% 0.80/1.21  clause( 20, [ ~( between( a, b, b ) ) ] )
% 0.80/1.21  .
% 0.80/1.21  clause( 56, [ ~( between( X, b, b ) ), ~( between( a, X, a ) ) ] )
% 0.80/1.21  .
% 0.80/1.21  clause( 1057, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.80/1.21  .
% 0.80/1.21  clause( 1074, [ between( X, Y, Y ) ] )
% 0.80/1.21  .
% 0.80/1.21  clause( 1076, [] )
% 0.80/1.21  .
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  % SZS output end Refutation
% 0.80/1.21  found a proof!
% 0.80/1.21  
% 0.80/1.21  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.21  
% 0.80/1.21  initialclauses(
% 0.80/1.21  [ clause( 1078, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.80/1.21  , clause( 1079, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( 
% 0.80/1.21    X, Y, T ) ] )
% 0.80/1.21  , clause( 1080, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 0.80/1.21     ), between( X, Z, T ), between( X, T, Z ) ] )
% 0.80/1.21  , clause( 1081, [ equidistant( X, Y, Y, X ) ] )
% 0.80/1.21  , clause( 1082, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.80/1.21  , clause( 1083, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, 
% 0.80/1.21    W ) ), equidistant( Z, T, U, W ) ] )
% 0.80/1.21  , clause( 1084, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( 
% 0.80/1.21    X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 0.80/1.21  , clause( 1085, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( 
% 0.80/1.21    U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 0.80/1.21  , clause( 1086, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.80/1.21     ), between( X, U, euclid1( Z, X, T, U, Y ) ) ] )
% 0.80/1.21  , clause( 1087, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.80/1.21     ), between( X, T, euclid2( Z, X, T, U, Y ) ) ] )
% 0.80/1.21  , clause( 1088, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.80/1.21     ), between( euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ] )
% 0.80/1.21  , clause( 1089, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, 
% 0.80/1.21    W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.80/1.21    , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 0.80/1.21    equidistant( U, V0, W, V1 ) ] )
% 0.80/1.21  , clause( 1090, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.80/1.21  , clause( 1091, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.80/1.21  , clause( 1092, [ ~( between( 'lower_dimension_point_1', 
% 0.80/1.21    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.80/1.21  , clause( 1093, [ ~( between( 'lower_dimension_point_2', 
% 0.80/1.21    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.80/1.21  , clause( 1094, [ ~( between( 'lower_dimension_point_3', 
% 0.80/1.21    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.80/1.21  , clause( 1095, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, 
% 0.80/1.21    Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.80/1.21    , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.80/1.21  , clause( 1096, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, 
% 0.80/1.21    U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, 
% 0.80/1.21    W, X, continuous( Y, W, T, Z, U, X ) ) ] )
% 0.80/1.21  , clause( 1097, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, 
% 0.80/1.21    U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 0.80/1.21    continuous( Y, W, T, Z, U, X ), U ) ] )
% 0.80/1.21  , clause( 1098, [ ~( between( a, b, b ) ) ] )
% 0.80/1.21  ] ).
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  subsumption(
% 0.80/1.21  clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.80/1.21  , clause( 1078, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.80/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.21     ), ==>( 1, 1 )] ) ).
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  subsumption(
% 0.80/1.21  clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.80/1.21  , clause( 1082, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.80/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.80/1.21    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.80/1.21  
% 0.80/1.21  
% 0.80/1.21  subsumption(
% 162.04/162.45  clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 162.04/162.45  , clause( 1090, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 162.04/162.45  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 162.04/162.45    permutation( 0, [ ==>( 0, 0 )] ) ).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  subsumption(
% 162.04/162.45  clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 162.04/162.45  , clause( 1091, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 162.04/162.45  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 162.04/162.45    permutation( 0, [ ==>( 0, 0 )] ) ).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  subsumption(
% 162.04/162.45  clause( 20, [ ~( between( a, b, b ) ) ] )
% 162.04/162.45  , clause( 1098, [ ~( between( a, b, b ) ) ] )
% 162.04/162.45  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  paramod(
% 162.04/162.45  clause( 6132, [ ~( between( X, b, b ) ), ~( between( a, X, a ) ) ] )
% 162.04/162.45  , clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 162.04/162.45  , 1, clause( 20, [ ~( between( a, b, b ) ) ] )
% 162.04/162.45  , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 162.04/162.45    ).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  subsumption(
% 162.04/162.45  clause( 56, [ ~( between( X, b, b ) ), ~( between( a, X, a ) ) ] )
% 162.04/162.45  , clause( 6132, [ ~( between( X, b, b ) ), ~( between( a, X, a ) ) ] )
% 162.04/162.45  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 162.04/162.45    1 )] ) ).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  eqswap(
% 162.04/162.45  clause( 32513, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 162.04/162.45  , clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 162.04/162.45  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  resolution(
% 162.04/162.45  clause( 32514, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 162.04/162.45  , clause( 32513, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 162.04/162.45  , 1, clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 162.04/162.45  , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 162.04/162.45    , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 162.04/162.45     )] )).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  subsumption(
% 162.04/162.45  clause( 1057, [ =( extension( Y, X, Z, Z ), X ) ] )
% 162.04/162.45  , clause( 32514, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 162.04/162.45  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 162.04/162.45    permutation( 0, [ ==>( 0, 0 )] ) ).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  paramod(
% 162.04/162.45  clause( 32517, [ between( X, Y, Y ) ] )
% 162.04/162.45  , clause( 1057, [ =( extension( Y, X, Z, Z ), X ) ] )
% 162.04/162.45  , 0, clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 162.04/162.45  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 162.04/162.45    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  subsumption(
% 162.04/162.45  clause( 1074, [ between( X, Y, Y ) ] )
% 162.04/162.45  , clause( 32517, [ between( X, Y, Y ) ] )
% 162.04/162.45  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 162.04/162.45     )] ) ).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  resolution(
% 162.04/162.45  clause( 32519, [ ~( between( a, b, b ) ) ] )
% 162.04/162.45  , clause( 56, [ ~( between( X, b, b ) ), ~( between( a, X, a ) ) ] )
% 162.04/162.45  , 1, clause( 1074, [ between( X, Y, Y ) ] )
% 162.04/162.45  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, a ), :=( Y
% 162.04/162.45    , a )] )).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  resolution(
% 162.04/162.45  clause( 32520, [] )
% 162.04/162.45  , clause( 32519, [ ~( between( a, b, b ) ) ] )
% 162.04/162.45  , 0, clause( 1074, [ between( X, Y, Y ) ] )
% 162.04/162.45  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 162.04/162.45    ).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  subsumption(
% 162.04/162.45  clause( 1076, [] )
% 162.04/162.45  , clause( 32520, [] )
% 162.04/162.45  , substitution( 0, [] ), permutation( 0, [] ) ).
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  end.
% 162.04/162.45  
% 162.04/162.45  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 162.04/162.45  
% 162.04/162.45  Memory use:
% 162.04/162.45  
% 162.04/162.45  space for terms:        24871
% 162.04/162.45  space for clauses:      50793
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  clauses generated:      5396
% 162.04/162.45  clauses kept:           1077
% 162.04/162.45  clauses selected:       63
% 162.04/162.45  clauses deleted:        12
% 162.04/162.45  clauses inuse deleted:  12
% 162.04/162.45  
% 162.04/162.45  subsentry:          163594714
% 162.04/162.45  literals s-matched: 52160317
% 162.04/162.45  literals matched:   44352539
% 162.04/162.45  full subsumption:   44298249
% 162.04/162.45  
% 162.04/162.45  checksum:           -1930172291
% 162.04/162.45  
% 162.04/162.45  
% 162.04/162.45  Bliksem ended
%------------------------------------------------------------------------------