TSTP Solution File: MGT045-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : MGT045-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n026.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 : Sun Jul 17 21:57:52 EDT 2022

% Result   : Unsatisfiable 0.69s 1.09s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MGT045-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Thu Jun  9 10:43:32 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.69/1.09  *** allocated 10000 integers for termspace/termends
% 0.69/1.09  *** allocated 10000 integers for clauses
% 0.69/1.09  *** allocated 10000 integers for justifications
% 0.69/1.09  Bliksem 1.12
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Automatic Strategy Selection
% 0.69/1.09  
% 0.69/1.09  Clauses:
% 0.69/1.09  [
% 0.69/1.09     [ ~( 'smaller_or_equal'( X, Y ) ), smaller( X, Y ), =( X, Y ) ],
% 0.69/1.09     [ ~( smaller( X, Y ) ), 'smaller_or_equal'( X, Y ) ],
% 0.69/1.09     [ ~( =( X, Y ) ), 'smaller_or_equal'( X, Y ) ],
% 0.69/1.09     [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ],
% 0.69/1.09     [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ],
% 0.69/1.09     [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ],
% 0.69/1.09     [ ~( smaller( X, Y ) ), greater( Y, X ) ],
% 0.69/1.09     [ ~( greater( X, Y ) ), smaller( Y, X ) ],
% 0.69/1.09     [ ~( greater( X, Y ) ), ~( greater( Y, X ) ) ],
% 0.69/1.09     [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z ) ],
% 0.69/1.09     [ smaller( X, Y ), =( X, Y ), greater( X, Y ) ],
% 0.69/1.09     [ ~( organization( X ) ), ~( greater( 'external_ties'( X, Y ), 
% 0.69/1.09    'external_ties'( X, Z ) ) ), greater( position( X, Y ), position( X, Z )
% 0.69/1.09     ) ],
% 0.69/1.09     [ ~( organization( X ) ), ~( =( 'external_ties'( X, Y ), 'external_ties'( 
% 0.69/1.09    X, Z ) ) ), =( position( X, Y ), position( X, Z ) ) ],
% 0.69/1.09     [ ~( organization( X ) ), ~( greater( age( X, Y ), age( X, Z ) ) ), 
% 0.69/1.09    greater( 'external_ties'( X, Y ), 'external_ties'( X, Z ) ) ],
% 0.69/1.09     [ organization( sk1 ) ],
% 0.69/1.09     [ greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ],
% 0.69/1.09     [ ~( greater( position( sk1, sk3 ), position( sk1, sk2 ) ) ) ]
% 0.69/1.09  ] .
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  percentage equality = 0.184211, percentage horn = 0.823529
% 0.69/1.09  This is a problem with some equality
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Options Used:
% 0.69/1.09  
% 0.69/1.09  useres =            1
% 0.69/1.09  useparamod =        1
% 0.69/1.09  useeqrefl =         1
% 0.69/1.09  useeqfact =         1
% 0.69/1.09  usefactor =         1
% 0.69/1.09  usesimpsplitting =  0
% 0.69/1.09  usesimpdemod =      5
% 0.69/1.09  usesimpres =        3
% 0.69/1.09  
% 0.69/1.09  resimpinuse      =  1000
% 0.69/1.09  resimpclauses =     20000
% 0.69/1.09  substype =          eqrewr
% 0.69/1.09  backwardsubs =      1
% 0.69/1.09  selectoldest =      5
% 0.69/1.09  
% 0.69/1.09  litorderings [0] =  split
% 0.69/1.09  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.69/1.09  
% 0.69/1.09  termordering =      kbo
% 0.69/1.09  
% 0.69/1.09  litapriori =        0
% 0.69/1.09  termapriori =       1
% 0.69/1.09  litaposteriori =    0
% 0.69/1.09  termaposteriori =   0
% 0.69/1.09  demodaposteriori =  0
% 0.69/1.09  ordereqreflfact =   0
% 0.69/1.09  
% 0.69/1.09  litselect =         negord
% 0.69/1.09  
% 0.69/1.09  maxweight =         15
% 0.69/1.09  maxdepth =          30000
% 0.69/1.09  maxlength =         115
% 0.69/1.09  maxnrvars =         195
% 0.69/1.09  excuselevel =       1
% 0.69/1.09  increasemaxweight = 1
% 0.69/1.09  
% 0.69/1.09  maxselected =       10000000
% 0.69/1.09  maxnrclauses =      10000000
% 0.69/1.09  
% 0.69/1.09  showgenerated =    0
% 0.69/1.09  showkept =         0
% 0.69/1.09  showselected =     0
% 0.69/1.09  showdeleted =      0
% 0.69/1.09  showresimp =       1
% 0.69/1.09  showstatus =       2000
% 0.69/1.09  
% 0.69/1.09  prologoutput =     1
% 0.69/1.09  nrgoals =          5000000
% 0.69/1.09  totalproof =       1
% 0.69/1.09  
% 0.69/1.09  Symbols occurring in the translation:
% 0.69/1.09  
% 0.69/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.69/1.09  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.69/1.09  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.69/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  'smaller_or_equal'  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.69/1.09  smaller  [42, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.69/1.09  'greater_or_equal'  [43, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.69/1.09  greater  [44, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.69/1.09  organization  [46, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.69/1.09  'external_ties'  [47, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.69/1.09  position  [48, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.69/1.09  age  [49, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 0.69/1.09  sk1  [50, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.69/1.09  sk3  [51, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.69/1.09  sk2  [52, 0]      (w:1, o:6, a:1, s:1, b:0).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Starting Search:
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksems!, er is een bewijs:
% 0.69/1.09  % SZS status Unsatisfiable
% 0.69/1.09  % SZS output start Refutation
% 0.69/1.09  
% 0.69/1.09  clause( 11, [ ~( organization( X ) ), ~( greater( 'external_ties'( X, Y ), 
% 0.69/1.09    'external_ties'( X, Z ) ) ), greater( position( X, Y ), position( X, Z )
% 0.69/1.09     ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 13, [ ~( organization( X ) ), ~( greater( age( X, Y ), age( X, Z )
% 0.69/1.09     ) ), greater( 'external_ties'( X, Y ), 'external_ties'( X, Z ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 14, [ organization( sk1 ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 15, [ greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 16, [ ~( greater( position( sk1, sk3 ), position( sk1, sk2 ) ) ) ]
% 0.69/1.09     )
% 0.69/1.09  .
% 0.69/1.09  clause( 351, [ ~( greater( 'external_ties'( sk1, sk3 ), 'external_ties'( 
% 0.69/1.09    sk1, sk2 ) ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 570, [ ~( greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 607, [] )
% 0.69/1.09  .
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  % SZS output end Refutation
% 0.69/1.09  found a proof!
% 0.69/1.09  
% 0.69/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09  
% 0.69/1.09  initialclauses(
% 0.69/1.09  [ clause( 609, [ ~( 'smaller_or_equal'( X, Y ) ), smaller( X, Y ), =( X, Y
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 610, [ ~( smaller( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.69/1.09  , clause( 611, [ ~( =( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.69/1.09  , clause( 612, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 613, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 0.69/1.09  , clause( 614, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 0.69/1.09  , clause( 615, [ ~( smaller( X, Y ) ), greater( Y, X ) ] )
% 0.69/1.09  , clause( 616, [ ~( greater( X, Y ) ), smaller( Y, X ) ] )
% 0.69/1.09  , clause( 617, [ ~( greater( X, Y ) ), ~( greater( Y, X ) ) ] )
% 0.69/1.09  , clause( 618, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 619, [ smaller( X, Y ), =( X, Y ), greater( X, Y ) ] )
% 0.69/1.09  , clause( 620, [ ~( organization( X ) ), ~( greater( 'external_ties'( X, Y
% 0.69/1.09     ), 'external_ties'( X, Z ) ) ), greater( position( X, Y ), position( X, 
% 0.69/1.09    Z ) ) ] )
% 0.69/1.09  , clause( 621, [ ~( organization( X ) ), ~( =( 'external_ties'( X, Y ), 
% 0.69/1.09    'external_ties'( X, Z ) ) ), =( position( X, Y ), position( X, Z ) ) ] )
% 0.69/1.09  , clause( 622, [ ~( organization( X ) ), ~( greater( age( X, Y ), age( X, Z
% 0.69/1.09     ) ) ), greater( 'external_ties'( X, Y ), 'external_ties'( X, Z ) ) ] )
% 0.69/1.09  , clause( 623, [ organization( sk1 ) ] )
% 0.69/1.09  , clause( 624, [ greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ] )
% 0.69/1.09  , clause( 625, [ ~( greater( position( sk1, sk3 ), position( sk1, sk2 ) ) )
% 0.69/1.09     ] )
% 0.69/1.09  ] ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 11, [ ~( organization( X ) ), ~( greater( 'external_ties'( X, Y ), 
% 0.69/1.09    'external_ties'( X, Z ) ) ), greater( position( X, Y ), position( X, Z )
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 620, [ ~( organization( X ) ), ~( greater( 'external_ties'( X, Y
% 0.69/1.09     ), 'external_ties'( X, Z ) ) ), greater( position( X, Y ), position( X, 
% 0.69/1.09    Z ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 13, [ ~( organization( X ) ), ~( greater( age( X, Y ), age( X, Z )
% 0.69/1.09     ) ), greater( 'external_ties'( X, Y ), 'external_ties'( X, Z ) ) ] )
% 0.69/1.09  , clause( 622, [ ~( organization( X ) ), ~( greater( age( X, Y ), age( X, Z
% 0.69/1.09     ) ) ), greater( 'external_ties'( X, Y ), 'external_ties'( X, Z ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 14, [ organization( sk1 ) ] )
% 0.69/1.09  , clause( 623, [ organization( sk1 ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 15, [ greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ] )
% 0.69/1.09  , clause( 624, [ greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 16, [ ~( greater( position( sk1, sk3 ), position( sk1, sk2 ) ) ) ]
% 0.69/1.09     )
% 0.69/1.09  , clause( 625, [ ~( greater( position( sk1, sk3 ), position( sk1, sk2 ) ) )
% 0.69/1.09     ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 665, [ ~( organization( sk1 ) ), ~( greater( 'external_ties'( sk1, 
% 0.69/1.09    sk3 ), 'external_ties'( sk1, sk2 ) ) ) ] )
% 0.69/1.09  , clause( 16, [ ~( greater( position( sk1, sk3 ), position( sk1, sk2 ) ) )
% 0.69/1.09     ] )
% 0.69/1.09  , 0, clause( 11, [ ~( organization( X ) ), ~( greater( 'external_ties'( X, 
% 0.69/1.09    Y ), 'external_ties'( X, Z ) ) ), greater( position( X, Y ), position( X
% 0.69/1.09    , Z ) ) ] )
% 0.69/1.09  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 ), :=( Y, sk3 ), 
% 0.69/1.09    :=( Z, sk2 )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 666, [ ~( greater( 'external_ties'( sk1, sk3 ), 'external_ties'( 
% 0.69/1.09    sk1, sk2 ) ) ) ] )
% 0.69/1.09  , clause( 665, [ ~( organization( sk1 ) ), ~( greater( 'external_ties'( sk1
% 0.69/1.09    , sk3 ), 'external_ties'( sk1, sk2 ) ) ) ] )
% 0.69/1.09  , 0, clause( 14, [ organization( sk1 ) ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 351, [ ~( greater( 'external_ties'( sk1, sk3 ), 'external_ties'( 
% 0.69/1.09    sk1, sk2 ) ) ) ] )
% 0.69/1.09  , clause( 666, [ ~( greater( 'external_ties'( sk1, sk3 ), 'external_ties'( 
% 0.69/1.09    sk1, sk2 ) ) ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 667, [ ~( organization( sk1 ) ), ~( greater( age( sk1, sk3 ), age( 
% 0.69/1.09    sk1, sk2 ) ) ) ] )
% 0.69/1.09  , clause( 351, [ ~( greater( 'external_ties'( sk1, sk3 ), 'external_ties'( 
% 0.69/1.09    sk1, sk2 ) ) ) ] )
% 0.69/1.09  , 0, clause( 13, [ ~( organization( X ) ), ~( greater( age( X, Y ), age( X
% 0.69/1.09    , Z ) ) ), greater( 'external_ties'( X, Y ), 'external_ties'( X, Z ) ) ]
% 0.69/1.09     )
% 0.69/1.09  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 ), :=( Y, sk3 ), 
% 0.69/1.09    :=( Z, sk2 )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 668, [ ~( greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ) ] )
% 0.69/1.09  , clause( 667, [ ~( organization( sk1 ) ), ~( greater( age( sk1, sk3 ), age( 
% 0.69/1.09    sk1, sk2 ) ) ) ] )
% 0.69/1.09  , 0, clause( 14, [ organization( sk1 ) ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 570, [ ~( greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ) ] )
% 0.69/1.09  , clause( 668, [ ~( greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 669, [] )
% 0.69/1.09  , clause( 570, [ ~( greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ) ] )
% 0.69/1.09  , 0, clause( 15, [ greater( age( sk1, sk3 ), age( sk1, sk2 ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 607, [] )
% 0.69/1.09  , clause( 669, [] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  end.
% 0.69/1.09  
% 0.69/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09  
% 0.69/1.09  Memory use:
% 0.69/1.09  
% 0.69/1.09  space for terms:        9761
% 0.69/1.09  space for clauses:      31922
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  clauses generated:      973
% 0.69/1.09  clauses kept:           608
% 0.69/1.09  clauses selected:       46
% 0.69/1.09  clauses deleted:        1
% 0.69/1.09  clauses inuse deleted:  0
% 0.69/1.09  
% 0.69/1.09  subsentry:          2326
% 0.69/1.09  literals s-matched: 2062
% 0.69/1.09  literals matched:   2062
% 0.69/1.09  full subsumption:   304
% 0.69/1.09  
% 0.69/1.09  checksum:           1265227115
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksem ended
%------------------------------------------------------------------------------