TSTP Solution File: GEO048-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO048-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n011.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 02:51:10 EDT 2022

% Result   : Unsatisfiable 7.97s 8.39s
% Output   : Refutation 7.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO048-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Sat Jun 18 18:05:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 7.97/8.39  *** allocated 10000 integers for termspace/termends
% 7.97/8.39  *** allocated 10000 integers for clauses
% 7.97/8.39  *** allocated 10000 integers for justifications
% 7.97/8.39  Bliksem 1.12
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Automatic Strategy Selection
% 7.97/8.39  
% 7.97/8.39  Clauses:
% 7.97/8.39  [
% 7.97/8.39     [ equidistant( X, Y, Y, X ) ],
% 7.97/8.39     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 7.97/8.39    equidistant( Z, T, U, W ) ],
% 7.97/8.39     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 7.97/8.39     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 7.97/8.39     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 7.97/8.39     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 7.97/8.39    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 7.97/8.39    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 7.97/8.39    , V0, W, V1 ) ],
% 7.97/8.39     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 7.97/8.39     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 7.97/8.39    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 7.97/8.39     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 7.97/8.39    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 7.97/8.39     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 7.97/8.39    'lower_dimension_point_3' ) ) ],
% 7.97/8.39     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 7.97/8.39    'lower_dimension_point_1' ) ) ],
% 7.97/8.39     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 7.97/8.39    'lower_dimension_point_2' ) ) ],
% 7.97/8.39     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 7.97/8.39    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 7.97/8.39    between( U, X, T ), =( Y, Z ) ],
% 7.97/8.39     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 7.97/8.39    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 7.97/8.39     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 7.97/8.39    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 7.97/8.39     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 7.97/8.39    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 7.97/8.39     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 7.97/8.39    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 7.97/8.39    , Y, Z, W, T, U ), U ) ],
% 7.97/8.39     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 7.97/8.39    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 7.97/8.39    continuous( X, Y, Z, W, T, U ) ) ],
% 7.97/8.39     [ between( u, v, w ) ],
% 7.97/8.39     [ between( u1, v1, w ) ],
% 7.97/8.39     [ between( u, x, u1 ) ],
% 7.97/8.39     [ ~( between( x, 'inner_pasch'( v1, 'inner_pasch'( u, x, u1, v1, w ), u
% 7.97/8.39    , v, w ), w ) ) ],
% 7.97/8.39     [ ~( between( v, 'inner_pasch'( v1, 'inner_pasch'( u, x, u1, v1, w ), u
% 7.97/8.39    , v, w ), v1 ) ) ]
% 7.97/8.39  ] .
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  percentage equality = 0.114754, percentage horn = 0.782609
% 7.97/8.39  This is a problem with some equality
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Options Used:
% 7.97/8.39  
% 7.97/8.39  useres =            1
% 7.97/8.39  useparamod =        1
% 7.97/8.39  useeqrefl =         1
% 7.97/8.39  useeqfact =         1
% 7.97/8.39  usefactor =         1
% 7.97/8.39  usesimpsplitting =  0
% 7.97/8.39  usesimpdemod =      5
% 7.97/8.39  usesimpres =        3
% 7.97/8.39  
% 7.97/8.39  resimpinuse      =  1000
% 7.97/8.39  resimpclauses =     20000
% 7.97/8.39  substype =          eqrewr
% 7.97/8.39  backwardsubs =      1
% 7.97/8.39  selectoldest =      5
% 7.97/8.39  
% 7.97/8.39  litorderings [0] =  split
% 7.97/8.39  litorderings [1] =  extend the termordering, first sorting on arguments
% 7.97/8.39  
% 7.97/8.39  termordering =      kbo
% 7.97/8.39  
% 7.97/8.39  litapriori =        0
% 7.97/8.39  termapriori =       1
% 7.97/8.39  litaposteriori =    0
% 7.97/8.39  termaposteriori =   0
% 7.97/8.39  demodaposteriori =  0
% 7.97/8.39  ordereqreflfact =   0
% 7.97/8.39  
% 7.97/8.39  litselect =         negord
% 7.97/8.39  
% 7.97/8.39  maxweight =         15
% 7.97/8.39  maxdepth =          30000
% 7.97/8.39  maxlength =         115
% 7.97/8.39  maxnrvars =         195
% 7.97/8.39  excuselevel =       1
% 7.97/8.39  increasemaxweight = 1
% 7.97/8.39  
% 7.97/8.39  maxselected =       10000000
% 7.97/8.39  maxnrclauses =      10000000
% 7.97/8.39  
% 7.97/8.39  showgenerated =    0
% 7.97/8.39  showkept =         0
% 7.97/8.39  showselected =     0
% 7.97/8.39  showdeleted =      0
% 7.97/8.39  showresimp =       1
% 7.97/8.39  showstatus =       2000
% 7.97/8.39  
% 7.97/8.39  prologoutput =     1
% 7.97/8.39  nrgoals =          5000000
% 7.97/8.39  totalproof =       1
% 7.97/8.39  
% 7.97/8.39  Symbols occurring in the translation:
% 7.97/8.39  
% 7.97/8.39  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 7.97/8.39  .  [1, 2]      (w:1, o:34, a:1, s:1, b:0), 
% 7.97/8.39  !  [4, 1]      (w:0, o:29, a:1, s:1, b:0), 
% 7.97/8.39  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 7.97/8.39  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 7.97/8.39  equidistant  [41, 4]      (w:1, o:60, a:1, s:1, b:0), 
% 7.97/8.39  extension  [46, 4]      (w:1, o:61, a:1, s:1, b:0), 
% 7.97/8.39  between  [47, 3]      (w:1, o:59, a:1, s:1, b:0), 
% 7.97/8.39  'inner_pasch'  [53, 5]      (w:1, o:62, a:1, s:1, b:0), 
% 7.97/8.39  'lower_dimension_point_1'  [54, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 7.97/8.39  'lower_dimension_point_2'  [55, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 7.97/8.39  'lower_dimension_point_3'  [56, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 7.97/8.39  euclid1  [57, 5]      (w:1, o:63, a:1, s:1, b:0), 
% 7.97/8.39  euclid2  [58, 5]      (w:1, o:64, a:1, s:1, b:0), 
% 7.97/8.39  continuous  [59, 6]      (w:1, o:65, a:1, s:1, b:0), 
% 7.97/8.39  u  [60, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 7.97/8.39  v  [61, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 7.97/8.39  w  [62, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 7.97/8.39  u1  [63, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 7.97/8.39  v1  [64, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 7.97/8.39  x  [65, 0]      (w:1, o:28, a:1, s:1, b:0).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Starting Search:
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    15144
% 7.97/8.39  Kept:         2005
% 7.97/8.39  Inuse:        139
% 7.97/8.39  Deleted:      35
% 7.97/8.39  Deletedinuse: 0
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    33557
% 7.97/8.39  Kept:         4946
% 7.97/8.39  Inuse:        272
% 7.97/8.39  Deleted:      40
% 7.97/8.39  Deletedinuse: 5
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    47370
% 7.97/8.39  Kept:         6958
% 7.97/8.39  Inuse:        380
% 7.97/8.39  Deleted:      45
% 7.97/8.39  Deletedinuse: 5
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    63472
% 7.97/8.39  Kept:         8968
% 7.97/8.39  Inuse:        486
% 7.97/8.39  Deleted:      49
% 7.97/8.39  Deletedinuse: 5
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    76689
% 7.97/8.39  Kept:         10987
% 7.97/8.39  Inuse:        554
% 7.97/8.39  Deleted:      172
% 7.97/8.39  Deletedinuse: 121
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    99168
% 7.97/8.39  Kept:         12998
% 7.97/8.39  Inuse:        694
% 7.97/8.39  Deleted:      189
% 7.97/8.39  Deletedinuse: 121
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    148628
% 7.97/8.39  Kept:         15001
% 7.97/8.39  Inuse:        760
% 7.97/8.39  Deleted:      189
% 7.97/8.39  Deletedinuse: 121
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    285803
% 7.97/8.39  Kept:         17019
% 7.97/8.39  Inuse:        876
% 7.97/8.39  Deleted:      189
% 7.97/8.39  Deletedinuse: 121
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    381897
% 7.97/8.39  Kept:         19034
% 7.97/8.39  Inuse:        1011
% 7.97/8.39  Deleted:      189
% 7.97/8.39  Deletedinuse: 121
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying clauses:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    473456
% 7.97/8.39  Kept:         21040
% 7.97/8.39  Inuse:        1127
% 7.97/8.39  Deleted:      3028
% 7.97/8.39  Deletedinuse: 121
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    497711
% 7.97/8.39  Kept:         23087
% 7.97/8.39  Inuse:        1153
% 7.97/8.39  Deleted:      3052
% 7.97/8.39  Deletedinuse: 129
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Intermediate Status:
% 7.97/8.39  Generated:    553214
% 7.97/8.39  Kept:         25125
% 7.97/8.39  Inuse:        1231
% 7.97/8.39  Deleted:      3110
% 7.97/8.39  Deletedinuse: 130
% 7.97/8.39  
% 7.97/8.39  Resimplifying inuse:
% 7.97/8.39  Done
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Bliksems!, er is een bewijs:
% 7.97/8.39  % SZS status Unsatisfiable
% 7.97/8.39  % SZS output start Refutation
% 7.97/8.39  
% 7.97/8.39  clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 7.97/8.39    'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 7.97/8.39    'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 18, [ between( u, v, w ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 19, [ between( u1, v1, w ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 20, [ between( u, x, u1 ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 22, [ ~( between( v, 'inner_pasch'( v1, 'inner_pasch'( u, x, u1, v1
% 7.97/8.39    , w ), u, v, w ), v1 ) ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 239, [ =( extension( Y, X, Z, Z ), X ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 245, [ between( X, Y, Y ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 355, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y, Z
% 7.97/8.39    , Z, T ), T ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 391, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, 
% 7.97/8.39    'inner_pasch'( Z, U, W, T, V0 ), Z, Y, X ), T ), ~( between( Z, U, W ) )
% 7.97/8.39    , ~( between( V0, T, W ) ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 21921, [ between( v, 'inner_pasch'( u, v, w, w, X ), X ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 21922, [ between( v1, 'inner_pasch'( u1, v1, w, w, X ), X ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 23850, [ =( 'inner_pasch'( u, v, w, w, v ), v ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 23866, [ ~( between( v, w, w ) ), between( w, v, u ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 23879, [ between( w, v, u ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 25119, [ =( 'inner_pasch'( u1, v1, w, w, v1 ), v1 ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 25135, [ ~( between( v1, w, w ) ), between( w, v1, u1 ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 25148, [ between( w, v1, u1 ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 25189, [ ~( between( u, x, u1 ) ), ~( between( w, v1, u1 ) ) ] )
% 7.97/8.39  .
% 7.97/8.39  clause( 25486, [] )
% 7.97/8.39  .
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  % SZS output end Refutation
% 7.97/8.39  found a proof!
% 7.97/8.39  
% 7.97/8.39  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.97/8.39  
% 7.97/8.39  initialclauses(
% 7.97/8.39  [ clause( 25488, [ equidistant( X, Y, Y, X ) ] )
% 7.97/8.39  , clause( 25489, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 7.97/8.39    , W ) ), equidistant( Z, T, U, W ) ] )
% 7.97/8.39  , clause( 25490, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.97/8.39  , clause( 25491, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.97/8.39  , clause( 25492, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.97/8.39  , clause( 25493, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 7.97/8.39    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 7.97/8.39     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 7.97/8.39    equidistant( U, V0, W, V1 ) ] )
% 7.97/8.39  , clause( 25494, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.97/8.39  , clause( 25495, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 7.97/8.39    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.97/8.39  , clause( 25496, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 7.97/8.39    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.97/8.39  , clause( 25497, [ ~( between( 'lower_dimension_point_1', 
% 7.97/8.39    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 7.97/8.39  , clause( 25498, [ ~( between( 'lower_dimension_point_2', 
% 7.97/8.39    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 7.97/8.39  , clause( 25499, [ ~( between( 'lower_dimension_point_3', 
% 7.97/8.39    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 7.97/8.39  , clause( 25500, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 7.97/8.39    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 7.97/8.39    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 7.97/8.39  , clause( 25501, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 7.97/8.39    Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 7.97/8.39  , clause( 25502, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 7.97/8.39    Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 7.97/8.39  , clause( 25503, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 7.97/8.39    Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 7.97/8.39     )
% 7.97/8.39  , clause( 25504, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 7.97/8.39    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 7.97/8.39    continuous( X, Y, Z, W, T, U ), U ) ] )
% 7.97/8.39  , clause( 25505, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 7.97/8.39    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 7.97/8.39    , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 7.97/8.39  , clause( 25506, [ between( u, v, w ) ] )
% 7.97/8.39  , clause( 25507, [ between( u1, v1, w ) ] )
% 7.97/8.39  , clause( 25508, [ between( u, x, u1 ) ] )
% 7.97/8.39  , clause( 25509, [ ~( between( x, 'inner_pasch'( v1, 'inner_pasch'( u, x, 
% 7.97/8.39    u1, v1, w ), u, v, w ), w ) ) ] )
% 7.97/8.39  , clause( 25510, [ ~( between( v, 'inner_pasch'( v1, 'inner_pasch'( u, x, 
% 7.97/8.39    u1, v1, w ), u, v, w ), v1 ) ) ] )
% 7.97/8.39  ] ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.97/8.39  , clause( 25490, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 7.97/8.39    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.97/8.39  , clause( 25491, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 7.97/8.39    permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.97/8.39  , clause( 25492, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 7.97/8.39    permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.97/8.39  , clause( 25494, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.97/8.39     ), ==>( 1, 1 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 7.97/8.39    'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.97/8.39  , clause( 25495, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 7.97/8.39    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 7.97/8.39    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 7.97/8.39     ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 7.97/8.39    'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.97/8.39  , clause( 25496, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 7.97/8.39    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 7.97/8.39    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 7.97/8.39     ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 18, [ between( u, v, w ) ] )
% 7.97/8.39  , clause( 25506, [ between( u, v, w ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 19, [ between( u1, v1, w ) ] )
% 7.97/8.39  , clause( 25507, [ between( u1, v1, w ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 20, [ between( u, x, u1 ) ] )
% 7.97/8.39  , clause( 25508, [ between( u, x, u1 ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 22, [ ~( between( v, 'inner_pasch'( v1, 'inner_pasch'( u, x, u1, v1
% 7.97/8.39    , w ), u, v, w ), v1 ) ) ] )
% 7.97/8.39  , clause( 25510, [ ~( between( v, 'inner_pasch'( v1, 'inner_pasch'( u, x, 
% 7.97/8.39    u1, v1, w ), u, v, w ), v1 ) ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  eqswap(
% 7.97/8.39  clause( 25848, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 7.97/8.39  , clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.97/8.39  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25849, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 7.97/8.39  , clause( 25848, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 7.97/8.39  , 1, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.97/8.39  , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 7.97/8.39    , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 7.97/8.39     )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 239, [ =( extension( Y, X, Z, Z ), X ) ] )
% 7.97/8.39  , clause( 25849, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 7.97/8.39    permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  paramod(
% 7.97/8.39  clause( 25852, [ between( X, Y, Y ) ] )
% 7.97/8.39  , clause( 239, [ =( extension( Y, X, Z, Z ), X ) ] )
% 7.97/8.39  , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.97/8.39  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 7.97/8.39    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 245, [ between( X, Y, Y ) ] )
% 7.97/8.39  , clause( 25852, [ between( X, Y, Y ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.97/8.39     )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25854, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y, 
% 7.97/8.39    Z, Z, T ), T ) ] )
% 7.97/8.39  , clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y
% 7.97/8.39    , 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.97/8.39  , 1, clause( 245, [ between( X, Y, Y ) ] )
% 7.97/8.39  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), 
% 7.97/8.39    :=( U, Z )] ), substitution( 1, [ :=( X, T ), :=( Y, Z )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 355, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y, Z
% 7.97/8.39    , Z, T ), T ) ] )
% 7.97/8.39  , clause( 25854, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y
% 7.97/8.39    , Z, Z, T ), T ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 7.97/8.39    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25855, [ ~( between( W, V0, Y ) ), between( V0, 'inner_pasch'( X, 
% 7.97/8.39    'inner_pasch'( Y, Z, T, X, U ), Y, V0, W ), X ), ~( between( Y, Z, T ) )
% 7.97/8.39    , ~( between( U, X, T ) ) ] )
% 7.97/8.39  , clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U
% 7.97/8.39    , 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.97/8.39  , 0, clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( 
% 7.97/8.39    U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.97/8.39  , 2, substitution( 0, [ :=( X, X ), :=( Y, 'inner_pasch'( Y, Z, T, X, U ) )
% 7.97/8.39    , :=( Z, Y ), :=( T, W ), :=( U, V0 )] ), substitution( 1, [ :=( X, Y ), 
% 7.97/8.39    :=( Y, Z ), :=( Z, T ), :=( T, U ), :=( U, X )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 391, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, 
% 7.97/8.39    'inner_pasch'( Z, U, W, T, V0 ), Z, Y, X ), T ), ~( between( Z, U, W ) )
% 7.97/8.39    , ~( between( V0, T, W ) ) ] )
% 7.97/8.39  , clause( 25855, [ ~( between( W, V0, Y ) ), between( V0, 'inner_pasch'( X
% 7.97/8.39    , 'inner_pasch'( Y, Z, T, X, U ), Y, V0, W ), X ), ~( between( Y, Z, T )
% 7.97/8.39     ), ~( between( U, X, T ) ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, U ), :=( T, W ), :=( U
% 7.97/8.39    , V0 ), :=( W, X ), :=( V0, Y )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 7.97/8.39    , 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25865, [ between( v, 'inner_pasch'( u, v, w, w, X ), X ) ] )
% 7.97/8.39  , clause( 355, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y, 
% 7.97/8.39    Z, Z, T ), T ) ] )
% 7.97/8.39  , 0, clause( 18, [ between( u, v, w ) ] )
% 7.97/8.39  , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w ), :=( T, X )] ), 
% 7.97/8.39    substitution( 1, [] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 21921, [ between( v, 'inner_pasch'( u, v, w, w, X ), X ) ] )
% 7.97/8.39  , clause( 25865, [ between( v, 'inner_pasch'( u, v, w, w, X ), X ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25866, [ between( v1, 'inner_pasch'( u1, v1, w, w, X ), X ) ] )
% 7.97/8.39  , clause( 355, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y, 
% 7.97/8.39    Z, Z, T ), T ) ] )
% 7.97/8.39  , 0, clause( 19, [ between( u1, v1, w ) ] )
% 7.97/8.39  , 0, substitution( 0, [ :=( X, u1 ), :=( Y, v1 ), :=( Z, w ), :=( T, X )] )
% 7.97/8.39    , substitution( 1, [] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 21922, [ between( v1, 'inner_pasch'( u1, v1, w, w, X ), X ) ] )
% 7.97/8.39  , clause( 25866, [ between( v1, 'inner_pasch'( u1, v1, w, w, X ), X ) ] )
% 7.97/8.39  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  eqswap(
% 7.97/8.39  clause( 25867, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 7.97/8.39  , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.97/8.39  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25868, [ =( 'inner_pasch'( u, v, w, w, v ), v ) ] )
% 7.97/8.39  , clause( 25867, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 7.97/8.39  , 1, clause( 21921, [ between( v, 'inner_pasch'( u, v, w, w, X ), X ) ] )
% 7.97/8.39  , 0, substitution( 0, [ :=( X, v ), :=( Y, 'inner_pasch'( u, v, w, w, v ) )] )
% 7.97/8.39    , substitution( 1, [ :=( X, v )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 23850, [ =( 'inner_pasch'( u, v, w, w, v ), v ) ] )
% 7.97/8.39  , clause( 25868, [ =( 'inner_pasch'( u, v, w, w, v ), v ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  paramod(
% 7.97/8.39  clause( 25871, [ between( w, v, u ), ~( between( u, v, w ) ), ~( between( v
% 7.97/8.39    , w, w ) ) ] )
% 7.97/8.39  , clause( 23850, [ =( 'inner_pasch'( u, v, w, w, v ), v ) ] )
% 7.97/8.39  , 0, clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( 
% 7.97/8.39    U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.97/8.39  , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v ), 
% 7.97/8.39    :=( Z, w ), :=( T, v ), :=( U, w )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25872, [ between( w, v, u ), ~( between( v, w, w ) ) ] )
% 7.97/8.39  , clause( 25871, [ between( w, v, u ), ~( between( u, v, w ) ), ~( between( 
% 7.97/8.39    v, w, w ) ) ] )
% 7.97/8.39  , 1, clause( 18, [ between( u, v, w ) ] )
% 7.97/8.39  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 23866, [ ~( between( v, w, w ) ), between( w, v, u ) ] )
% 7.97/8.39  , clause( 25872, [ between( w, v, u ), ~( between( v, w, w ) ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 7.97/8.39     ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25873, [ between( w, v, u ) ] )
% 7.97/8.39  , clause( 23866, [ ~( between( v, w, w ) ), between( w, v, u ) ] )
% 7.97/8.39  , 0, clause( 245, [ between( X, Y, Y ) ] )
% 7.97/8.39  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, v ), :=( Y, w )] )
% 7.97/8.39    ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 23879, [ between( w, v, u ) ] )
% 7.97/8.39  , clause( 25873, [ between( w, v, u ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  eqswap(
% 7.97/8.39  clause( 25874, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 7.97/8.39  , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.97/8.39  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25875, [ =( 'inner_pasch'( u1, v1, w, w, v1 ), v1 ) ] )
% 7.97/8.39  , clause( 25874, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 7.97/8.39  , 1, clause( 21922, [ between( v1, 'inner_pasch'( u1, v1, w, w, X ), X ) ]
% 7.97/8.39     )
% 7.97/8.39  , 0, substitution( 0, [ :=( X, v1 ), :=( Y, 'inner_pasch'( u1, v1, w, w, v1
% 7.97/8.39     ) )] ), substitution( 1, [ :=( X, v1 )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 25119, [ =( 'inner_pasch'( u1, v1, w, w, v1 ), v1 ) ] )
% 7.97/8.39  , clause( 25875, [ =( 'inner_pasch'( u1, v1, w, w, v1 ), v1 ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  paramod(
% 7.97/8.39  clause( 25878, [ between( w, v1, u1 ), ~( between( u1, v1, w ) ), ~( 
% 7.97/8.39    between( v1, w, w ) ) ] )
% 7.97/8.39  , clause( 25119, [ =( 'inner_pasch'( u1, v1, w, w, v1 ), v1 ) ] )
% 7.97/8.39  , 0, clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( 
% 7.97/8.39    U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.97/8.39  , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, u1 ), :=( Y, v1 )
% 7.97/8.39    , :=( Z, w ), :=( T, v1 ), :=( U, w )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25879, [ between( w, v1, u1 ), ~( between( v1, w, w ) ) ] )
% 7.97/8.39  , clause( 25878, [ between( w, v1, u1 ), ~( between( u1, v1, w ) ), ~( 
% 7.97/8.39    between( v1, w, w ) ) ] )
% 7.97/8.39  , 1, clause( 19, [ between( u1, v1, w ) ] )
% 7.97/8.39  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 25135, [ ~( between( v1, w, w ) ), between( w, v1, u1 ) ] )
% 7.97/8.39  , clause( 25879, [ between( w, v1, u1 ), ~( between( v1, w, w ) ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 7.97/8.39     ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25880, [ between( w, v1, u1 ) ] )
% 7.97/8.39  , clause( 25135, [ ~( between( v1, w, w ) ), between( w, v1, u1 ) ] )
% 7.97/8.39  , 0, clause( 245, [ between( X, Y, Y ) ] )
% 7.97/8.39  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, v1 ), :=( Y, w )] )
% 7.97/8.39    ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 25148, [ between( w, v1, u1 ) ] )
% 7.97/8.39  , clause( 25880, [ between( w, v1, u1 ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25881, [ ~( between( w, v, u ) ), ~( between( u, x, u1 ) ), ~( 
% 7.97/8.39    between( w, v1, u1 ) ) ] )
% 7.97/8.39  , clause( 22, [ ~( between( v, 'inner_pasch'( v1, 'inner_pasch'( u, x, u1, 
% 7.97/8.39    v1, w ), u, v, w ), v1 ) ) ] )
% 7.97/8.39  , 0, clause( 391, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, 
% 7.97/8.39    'inner_pasch'( Z, U, W, T, V0 ), Z, Y, X ), T ), ~( between( Z, U, W ) )
% 7.97/8.39    , ~( between( V0, T, W ) ) ] )
% 7.97/8.39  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, w ), :=( Y, v ), :=( 
% 7.97/8.39    Z, u ), :=( T, v1 ), :=( U, x ), :=( W, u1 ), :=( V0, w )] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25882, [ ~( between( u, x, u1 ) ), ~( between( w, v1, u1 ) ) ] )
% 7.97/8.39  , clause( 25881, [ ~( between( w, v, u ) ), ~( between( u, x, u1 ) ), ~( 
% 7.97/8.39    between( w, v1, u1 ) ) ] )
% 7.97/8.39  , 0, clause( 23879, [ between( w, v, u ) ] )
% 7.97/8.39  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 25189, [ ~( between( u, x, u1 ) ), ~( between( w, v1, u1 ) ) ] )
% 7.97/8.39  , clause( 25882, [ ~( between( u, x, u1 ) ), ~( between( w, v1, u1 ) ) ] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 7.97/8.39     ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25883, [ ~( between( w, v1, u1 ) ) ] )
% 7.97/8.39  , clause( 25189, [ ~( between( u, x, u1 ) ), ~( between( w, v1, u1 ) ) ] )
% 7.97/8.39  , 0, clause( 20, [ between( u, x, u1 ) ] )
% 7.97/8.39  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  resolution(
% 7.97/8.39  clause( 25884, [] )
% 7.97/8.39  , clause( 25883, [ ~( between( w, v1, u1 ) ) ] )
% 7.97/8.39  , 0, clause( 25148, [ between( w, v1, u1 ) ] )
% 7.97/8.39  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  subsumption(
% 7.97/8.39  clause( 25486, [] )
% 7.97/8.39  , clause( 25884, [] )
% 7.97/8.39  , substitution( 0, [] ), permutation( 0, [] ) ).
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  end.
% 7.97/8.39  
% 7.97/8.39  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.97/8.39  
% 7.97/8.39  Memory use:
% 7.97/8.39  
% 7.97/8.39  space for terms:        412582
% 7.97/8.39  space for clauses:      1000060
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  clauses generated:      563479
% 7.97/8.39  clauses kept:           25487
% 7.97/8.39  clauses selected:       1244
% 7.97/8.39  clauses deleted:        3112
% 7.97/8.39  clauses inuse deleted:  130
% 7.97/8.39  
% 7.97/8.39  subsentry:          1275206
% 7.97/8.39  literals s-matched: 683493
% 7.97/8.39  literals matched:   541718
% 7.97/8.39  full subsumption:   239546
% 7.97/8.39  
% 7.97/8.39  checksum:           332256976
% 7.97/8.39  
% 7.97/8.39  
% 7.97/8.39  Bliksem ended
%------------------------------------------------------------------------------