TSTP Solution File: GEO080-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO080-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n008.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 02:51:27 EDT 2022

% Result   : Unsatisfiable 0.70s 1.10s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO080-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n008.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 01:38:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.70/1.10  *** allocated 10000 integers for termspace/termends
% 0.70/1.10  *** allocated 10000 integers for clauses
% 0.70/1.10  *** allocated 10000 integers for justifications
% 0.70/1.10  Bliksem 1.12
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Automatic Strategy Selection
% 0.70/1.10  
% 0.70/1.10  Clauses:
% 0.70/1.10  [
% 0.70/1.10     [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ), 'incident_c'( Z, Y
% 0.70/1.10     ) ],
% 0.70/1.10     [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ],
% 0.70/1.10     [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y ) ],
% 0.70/1.10     [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ), 'incident_c'( T, 
% 0.70/1.10    Y ), 'incident_c'( T, Z ) ],
% 0.70/1.10     [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ), 'incident_c'( T, 
% 0.70/1.10    X ) ],
% 0.70/1.10     [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ), 'incident_c'( T, 
% 0.70/1.10    X ) ],
% 0.70/1.10     [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'( 'ax0_sk2'( X, Y
% 0.70/1.10    , Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X ) )
% 0.70/1.10     ],
% 0.70/1.10     [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'( 'ax0_sk2'( X
% 0.70/1.10    , Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.70/1.10     [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), 'incident_c'( 'ax0_sk2'( 
% 0.70/1.10    X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.70/1.10     ) ) ],
% 0.70/1.10     [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), 'incident_c'( 'ax0_sk2'( 
% 0.70/1.10    X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.70/1.10     ) ) ],
% 0.70/1.10     [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~( 'incident_c'( 
% 0.70/1.10    'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.70/1.10     [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~( 'incident_c'( 
% 0.70/1.10    'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.70/1.10     [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.70/1.10     [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y )
% 0.70/1.10     ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) ), 'part_of'( Z, T
% 0.70/1.10     ), 'part_of'( T, Z ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ), Y ), 
% 0.70/1.10    'end_point'( X, Y ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ), Y ), 
% 0.70/1.10    'end_point'( X, Y ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y, X ) ), 
% 0.70/1.10    'end_point'( X, Y ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y, X ) ), 
% 0.70/1.10    'end_point'( X, Y ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X ), 'ax0_sk4'( 
% 0.70/1.10    Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X ), 'ax0_sk3'( 
% 0.70/1.10    Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.70/1.10     [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.70/1.10     [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ), 'inner_point'( X, Y )
% 0.70/1.10     ],
% 0.70/1.10     [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ],
% 0.70/1.10     [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ],
% 0.70/1.10     [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.70/1.10     ) ), 'end_point'( T, Y ) ],
% 0.70/1.10     [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.70/1.10     ) ), 'end_point'( T, Z ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'( 
% 0.70/1.10    'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'( 
% 0.70/1.10    'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ],
% 0.70/1.10     [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'end_point'( 
% 0.70/1.10    'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y, X ), Z ) )
% 0.70/1.10    , meet( X, Y, Z ) ],
% 0.70/1.10     [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ],
% 0.70/1.10     [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ],
% 0.70/1.10     [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ],
% 0.70/1.10     [ ~( 'end_point'( X, Y ) ), open( Y ) ],
% 0.70/1.10     [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ],
% 0.70/1.10     [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y ) )
% 0.70/1.10    , ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ), ~( 'end_point'( U, 
% 0.70/1.10    T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'( X, Z ), 'part_of'( 
% 0.70/1.10    Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ],
% 0.70/1.10     [ 'inner_point'( 'ax0_sk8'( X ), X ) ],
% 0.70/1.10     [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ), 'ax0_sk10'( X
% 0.70/1.10    , Y ) ) ],
% 0.70/1.10     [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y ), 'ax0_sk10'( 
% 0.70/1.10    X, Y ) ) ) ],
% 0.70/1.10     [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~( 'end_point'( T
% 0.70/1.10    , Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ],
% 0.70/1.10     [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y ), Y ) ],
% 0.70/1.10     [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) ) ],
% 0.70/1.10     [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z, T ) ) ), ~( 
% 0.70/1.10    'end_point'( U, Z ) ), meet( U, Z, T ) ],
% 0.70/1.10     [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z ) ) ],
% 0.70/1.10     [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'( 'ax0_sk13'( X, Y
% 0.70/1.10     ), X ), =( Y, X ) ],
% 0.70/1.10     [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'( 'ax0_sk13'( X
% 0.70/1.10    , Y ), Y ) ), =( Y, X ) ],
% 0.70/1.10     [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'( 'ax0_sk13'( 
% 0.70/1.10    X, Y ), X ), =( Y, X ) ],
% 0.70/1.10     [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~( 'incident_c'( 
% 0.70/1.10    'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ],
% 0.70/1.10     [ ~( 'part_of'( sk14, sk14 ) ) ]
% 0.70/1.10  ] .
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  percentage equality = 0.115942, percentage horn = 0.636364
% 0.70/1.10  This is a problem with some equality
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Options Used:
% 0.70/1.10  
% 0.70/1.10  useres =            1
% 0.70/1.10  useparamod =        1
% 0.70/1.10  useeqrefl =         1
% 0.70/1.10  useeqfact =         1
% 0.70/1.10  usefactor =         1
% 0.70/1.10  usesimpsplitting =  0
% 0.70/1.10  usesimpdemod =      5
% 0.70/1.10  usesimpres =        3
% 0.70/1.10  
% 0.70/1.10  resimpinuse      =  1000
% 0.70/1.10  resimpclauses =     20000
% 0.70/1.10  substype =          eqrewr
% 0.70/1.10  backwardsubs =      1
% 0.70/1.10  selectoldest =      5
% 0.70/1.10  
% 0.70/1.10  litorderings [0] =  split
% 0.70/1.10  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.70/1.10  
% 0.70/1.10  termordering =      kbo
% 0.70/1.10  
% 0.70/1.10  litapriori =        0
% 0.70/1.10  termapriori =       1
% 0.70/1.10  litaposteriori =    0
% 0.70/1.10  termaposteriori =   0
% 0.70/1.10  demodaposteriori =  0
% 0.70/1.10  ordereqreflfact =   0
% 0.70/1.10  
% 0.70/1.10  litselect =         negord
% 0.70/1.10  
% 0.70/1.10  maxweight =         15
% 0.70/1.10  maxdepth =          30000
% 0.70/1.10  maxlength =         115
% 0.70/1.10  maxnrvars =         195
% 0.70/1.10  excuselevel =       1
% 0.70/1.10  increasemaxweight = 1
% 0.70/1.10  
% 0.70/1.10  maxselected =       10000000
% 0.70/1.10  maxnrclauses =      10000000
% 0.70/1.10  
% 0.70/1.10  showgenerated =    0
% 0.70/1.10  showkept =         0
% 0.70/1.10  showselected =     0
% 0.70/1.10  showdeleted =      0
% 0.70/1.10  showresimp =       1
% 0.70/1.10  showstatus =       2000
% 0.70/1.10  
% 0.70/1.10  prologoutput =     1
% 0.70/1.10  nrgoals =          5000000
% 0.70/1.10  totalproof =       1
% 0.70/1.10  
% 0.70/1.10  Symbols occurring in the translation:
% 0.70/1.10  
% 0.70/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.70/1.10  .  [1, 2]      (w:1, o:25, a:1, s:1, b:0), 
% 0.70/1.10  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.70/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.10  'part_of'  [41, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.70/1.10  'incident_c'  [43, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk1'  [44, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 0.70/1.10  sum  [45, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk2'  [47, 3]      (w:1, o:63, a:1, s:1, b:0), 
% 0.70/1.10  'end_point'  [48, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk3'  [49, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk4'  [50, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 0.70/1.10  'inner_point'  [51, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.70/1.10  meet  [52, 3]      (w:1, o:64, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk5'  [53, 3]      (w:1, o:65, a:1, s:1, b:0), 
% 0.70/1.10  closed  [54, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk6'  [55, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.70/1.10  open  [56, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk7'  [57, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk8'  [59, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk9'  [60, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk10'  [61, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk11'  [62, 2]      (w:1, o:60, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk12'  [63, 2]      (w:1, o:61, a:1, s:1, b:0), 
% 0.70/1.10  'ax0_sk13'  [64, 2]      (w:1, o:62, a:1, s:1, b:0), 
% 0.70/1.10  sk14  [65, 0]      (w:1, o:5, a:1, s:1, b:0).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Starting Search:
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Bliksems!, er is een bewijs:
% 0.70/1.10  % SZS status Unsatisfiable
% 0.70/1.10  % SZS output start Refutation
% 0.70/1.10  
% 0.70/1.10  clause( 1, [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 2, [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y ) ]
% 0.70/1.10     )
% 0.70/1.10  .
% 0.70/1.10  clause( 43, [ ~( 'part_of'( sk14, sk14 ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 72, [ 'incident_c'( 'ax0_sk1'( sk14, sk14 ), sk14 ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 80, [] )
% 0.70/1.10  .
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  % SZS output end Refutation
% 0.70/1.10  found a proof!
% 0.70/1.10  
% 0.70/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10  
% 0.70/1.10  initialclauses(
% 0.70/1.10  [ clause( 82, [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ), 
% 0.70/1.10    'incident_c'( Z, Y ) ] )
% 0.70/1.10  , clause( 83, [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ]
% 0.70/1.10     )
% 0.70/1.10  , clause( 84, [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y
% 0.70/1.10     ) ] )
% 0.70/1.10  , clause( 85, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ), 
% 0.70/1.10    'incident_c'( T, Y ), 'incident_c'( T, Z ) ] )
% 0.70/1.10  , clause( 86, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ), 
% 0.70/1.10    'incident_c'( T, X ) ] )
% 0.70/1.10  , clause( 87, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ), 
% 0.70/1.10    'incident_c'( T, X ) ] )
% 0.70/1.10  , clause( 88, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'( 
% 0.70/1.10    'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z
% 0.70/1.10    , sum( Y, X ) ) ] )
% 0.70/1.10  , clause( 89, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'( 
% 0.70/1.10    'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.70/1.10  , clause( 90, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), 'incident_c'( 
% 0.70/1.10    'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z
% 0.70/1.10    , sum( Y, X ) ) ] )
% 0.70/1.10  , clause( 91, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), 'incident_c'( 
% 0.70/1.10    'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z
% 0.70/1.10    , sum( Y, X ) ) ] )
% 0.70/1.10  , clause( 92, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~( 
% 0.70/1.10    'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.70/1.10  , clause( 93, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~( 
% 0.70/1.10    'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.70/1.10  , clause( 94, [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.70/1.10  , clause( 95, [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 
% 0.70/1.10    'part_of'( T, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) )
% 0.70/1.10    , 'part_of'( Z, T ), 'part_of'( T, Z ) ] )
% 0.70/1.10  , clause( 96, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ), Y
% 0.70/1.10     ), 'end_point'( X, Y ) ] )
% 0.70/1.10  , clause( 97, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ), Y
% 0.70/1.10     ), 'end_point'( X, Y ) ] )
% 0.70/1.10  , clause( 98, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y, X
% 0.70/1.10     ) ), 'end_point'( X, Y ) ] )
% 0.70/1.10  , clause( 99, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y, X
% 0.70/1.10     ) ), 'end_point'( X, Y ) ] )
% 0.70/1.10  , clause( 100, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X )
% 0.70/1.10    , 'ax0_sk4'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 0.70/1.10  , clause( 101, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X )
% 0.70/1.10    , 'ax0_sk3'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 0.70/1.10  , clause( 102, [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.70/1.10  , clause( 103, [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ] )
% 0.70/1.10  , clause( 104, [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ), 
% 0.70/1.10    'inner_point'( X, Y ) ] )
% 0.70/1.10  , clause( 105, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ] )
% 0.70/1.10  , clause( 106, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ] )
% 0.70/1.10  , clause( 107, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 
% 0.70/1.10    'incident_c'( T, Z ) ), 'end_point'( T, Y ) ] )
% 0.70/1.10  , clause( 108, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 
% 0.70/1.10    'incident_c'( T, Z ) ), 'end_point'( T, Z ) ] )
% 0.70/1.10  , clause( 109, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 
% 0.70/1.10    'incident_c'( 'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ] )
% 0.70/1.10  , clause( 110, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 
% 0.70/1.10    'incident_c'( 'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ] )
% 0.70/1.11  , clause( 111, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 
% 0.70/1.11    'end_point'( 'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y
% 0.70/1.11    , X ), Z ) ), meet( X, Y, Z ) ] )
% 0.70/1.11  , clause( 112, [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ] )
% 0.70/1.11  , clause( 113, [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ] )
% 0.70/1.11  , clause( 114, [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ] )
% 0.70/1.11  , clause( 115, [ ~( 'end_point'( X, Y ) ), open( Y ) ] )
% 0.70/1.11  , clause( 116, [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ] )
% 0.70/1.11  , clause( 117, [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 
% 0.70/1.11    'part_of'( T, Y ) ), ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ), 
% 0.70/1.11    ~( 'end_point'( U, T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'( 
% 0.70/1.11    X, Z ), 'part_of'( Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ] )
% 0.70/1.11  , clause( 118, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 0.70/1.11  , clause( 119, [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ), 
% 0.70/1.11    'ax0_sk10'( X, Y ) ) ] )
% 0.70/1.11  , clause( 120, [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y ), 
% 0.70/1.11    'ax0_sk10'( X, Y ) ) ) ] )
% 0.70/1.11  , clause( 121, [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~( 
% 0.70/1.11    'end_point'( T, Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ] )
% 0.70/1.11  , clause( 122, [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y )
% 0.70/1.11    , Y ) ] )
% 0.70/1.11  , clause( 123, [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) )
% 0.70/1.11     ] )
% 0.70/1.11  , clause( 124, [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z, T
% 0.70/1.11     ) ) ), ~( 'end_point'( U, Z ) ), meet( U, Z, T ) ] )
% 0.70/1.11  , clause( 125, [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z ) )
% 0.70/1.11     ] )
% 0.70/1.11  , clause( 126, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'( 
% 0.70/1.11    'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 0.70/1.11  , clause( 127, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'( 
% 0.70/1.11    'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 0.70/1.11  , clause( 128, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'( 
% 0.70/1.11    'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 0.70/1.11  , clause( 129, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~( 
% 0.70/1.11    'incident_c'( 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 0.70/1.11  , clause( 130, [ ~( 'part_of'( sk14, sk14 ) ) ] )
% 0.70/1.11  ] ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 1, [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ] )
% 0.70/1.11  , clause( 83, [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ]
% 0.70/1.11     )
% 0.70/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.11     ), ==>( 1, 1 )] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 2, [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y ) ]
% 0.70/1.11     )
% 0.70/1.11  , clause( 84, [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y
% 0.70/1.11     ) ] )
% 0.70/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.11     ), ==>( 1, 1 )] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 43, [ ~( 'part_of'( sk14, sk14 ) ) ] )
% 0.70/1.11  , clause( 130, [ ~( 'part_of'( sk14, sk14 ) ) ] )
% 0.70/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  resolution(
% 0.70/1.11  clause( 193, [ 'incident_c'( 'ax0_sk1'( sk14, sk14 ), sk14 ) ] )
% 0.70/1.11  , clause( 43, [ ~( 'part_of'( sk14, sk14 ) ) ] )
% 0.70/1.11  , 0, clause( 1, [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ]
% 0.70/1.11     )
% 0.70/1.11  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, sk14 ), :=( Y, sk14 )] )
% 0.70/1.11    ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 72, [ 'incident_c'( 'ax0_sk1'( sk14, sk14 ), sk14 ) ] )
% 0.70/1.11  , clause( 193, [ 'incident_c'( 'ax0_sk1'( sk14, sk14 ), sk14 ) ] )
% 0.70/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  resolution(
% 0.70/1.11  clause( 194, [ 'part_of'( sk14, sk14 ) ] )
% 0.70/1.11  , clause( 2, [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y )
% 0.70/1.11     ] )
% 0.70/1.11  , 0, clause( 72, [ 'incident_c'( 'ax0_sk1'( sk14, sk14 ), sk14 ) ] )
% 0.70/1.11  , 0, substitution( 0, [ :=( X, sk14 ), :=( Y, sk14 )] ), substitution( 1, [] )
% 0.70/1.11    ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  resolution(
% 0.70/1.11  clause( 195, [] )
% 0.70/1.11  , clause( 43, [ ~( 'part_of'( sk14, sk14 ) ) ] )
% 0.70/1.11  , 0, clause( 194, [ 'part_of'( sk14, sk14 ) ] )
% 0.70/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 80, [] )
% 0.70/1.11  , clause( 195, [] )
% 0.70/1.11  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  end.
% 0.70/1.11  
% 0.70/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.11  
% 0.70/1.11  Memory use:
% 0.70/1.11  
% 0.70/1.11  space for terms:        2795
% 0.70/1.11  space for clauses:      4838
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  clauses generated:      168
% 0.70/1.11  clauses kept:           81
% 0.70/1.11  clauses selected:       16
% 0.70/1.11  clauses deleted:        0
% 0.70/1.11  clauses inuse deleted:  0
% 0.70/1.11  
% 0.70/1.11  subsentry:          400
% 0.70/1.11  literals s-matched: 272
% 0.70/1.11  literals matched:   266
% 0.70/1.11  full subsumption:   66
% 0.70/1.11  
% 0.70/1.11  checksum:           1847011341
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  Bliksem ended
%------------------------------------------------------------------------------