TSTP Solution File: COL120-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL120-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 : Fri Jul 15 00:12:52 EDT 2022

% Result   : Unsatisfiable 0.74s 1.13s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : COL120-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Tue May 31 13:19:58 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.74/1.13  *** allocated 10000 integers for termspace/termends
% 0.74/1.13  *** allocated 10000 integers for clauses
% 0.74/1.13  *** allocated 10000 integers for justifications
% 0.74/1.13  Bliksem 1.12
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  Automatic Strategy Selection
% 0.74/1.13  
% 0.74/1.13  Clauses:
% 0.74/1.13  [
% 0.74/1.13     [ 'c_in'( 'c_Pair'( 'v_y', 'v_x', 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ],
% 0.74/1.13     [ ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ) ],
% 0.74/1.13     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.74/1.13     ), 'tc_prod'( Y, Y ) ) ]
% 0.74/1.13  ] .
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  percentage equality = 0.000000, percentage horn = 1.000000
% 0.74/1.13  This is a near-Horn, non-equality  problem
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  Options Used:
% 0.74/1.13  
% 0.74/1.13  useres =            1
% 0.74/1.13  useparamod =        0
% 0.74/1.13  useeqrefl =         0
% 0.74/1.13  useeqfact =         0
% 0.74/1.13  usefactor =         1
% 0.74/1.13  usesimpsplitting =  0
% 0.74/1.13  usesimpdemod =      0
% 0.74/1.13  usesimpres =        4
% 0.74/1.13  
% 0.74/1.13  resimpinuse      =  1000
% 0.74/1.13  resimpclauses =     20000
% 0.74/1.13  substype =          standard
% 0.74/1.13  backwardsubs =      1
% 0.74/1.13  selectoldest =      5
% 0.74/1.13  
% 0.74/1.13  litorderings [0] =  split
% 0.74/1.13  litorderings [1] =  liftord
% 0.74/1.13  
% 0.74/1.13  termordering =      none
% 0.74/1.13  
% 0.74/1.13  litapriori =        1
% 0.74/1.13  termapriori =       0
% 0.74/1.13  litaposteriori =    0
% 0.74/1.13  termaposteriori =   0
% 0.74/1.13  demodaposteriori =  0
% 0.74/1.13  ordereqreflfact =   0
% 0.74/1.13  
% 0.74/1.13  litselect =         negative
% 0.74/1.13  
% 0.74/1.13  maxweight =         30000
% 0.74/1.13  maxdepth =          30000
% 0.74/1.13  maxlength =         115
% 0.74/1.13  maxnrvars =         195
% 0.74/1.13  excuselevel =       0
% 0.74/1.13  increasemaxweight = 0
% 0.74/1.13  
% 0.74/1.13  maxselected =       10000000
% 0.74/1.13  maxnrclauses =      10000000
% 0.74/1.13  
% 0.74/1.13  showgenerated =    0
% 0.74/1.13  showkept =         0
% 0.74/1.13  showselected =     0
% 0.74/1.13  showdeleted =      0
% 0.74/1.13  showresimp =       1
% 0.74/1.13  showstatus =       2000
% 0.74/1.13  
% 0.74/1.13  prologoutput =     1
% 0.74/1.13  nrgoals =          5000000
% 0.74/1.13  totalproof =       1
% 0.74/1.13  
% 0.74/1.13  Symbols occurring in the translation:
% 0.74/1.13  
% 0.74/1.13  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.74/1.13  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.74/1.13  !  [4, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.74/1.13  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.13  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.13  'v_y'  [39, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.74/1.13  'v_x'  [40, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.74/1.13  't_a'  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.74/1.13  'c_Pair'  [42, 4]      (w:1, o:50, a:1, s:1, b:0), 
% 0.74/1.13  'v_r'  [43, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.74/1.13  'c_Transitive__Closure_Ortrancl'  [44, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.74/1.13    
% 0.74/1.13  'tc_prod'  [45, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.74/1.13  'c_in'  [46, 3]      (w:1, o:49, a:1, s:1, b:0).
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  Starting Search:
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  Bliksems!, er is een bewijs:
% 0.74/1.13  % SZS status Unsatisfiable
% 0.74/1.13  % SZS output start Refutation
% 0.74/1.13  
% 0.74/1.13  clause( 0, [ 'c_in'( 'c_Pair'( 'v_y', 'v_x', 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ] )
% 0.74/1.13  .
% 0.74/1.13  clause( 1, [ ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ) ] )
% 0.74/1.13  .
% 0.74/1.13  clause( 2, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.74/1.13  .
% 0.74/1.13  clause( 3, [] )
% 0.74/1.13  .
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  % SZS output end Refutation
% 0.74/1.13  found a proof!
% 0.74/1.13  
% 0.74/1.13  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.13  
% 0.74/1.13  initialclauses(
% 0.74/1.13  [ clause( 5, [ 'c_in'( 'c_Pair'( 'v_y', 'v_x', 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ] )
% 0.74/1.13  , clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ) ] )
% 0.74/1.13  , clause( 7, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.74/1.13  ] ).
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  subsumption(
% 0.74/1.13  clause( 0, [ 'c_in'( 'c_Pair'( 'v_y', 'v_x', 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ] )
% 0.74/1.13  , clause( 5, [ 'c_in'( 'c_Pair'( 'v_y', 'v_x', 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ] )
% 0.74/1.13  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  subsumption(
% 0.74/1.13  clause( 1, [ ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ) ] )
% 0.74/1.13  , clause( 6, [ ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ) ] )
% 0.74/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.74/1.13    1 )] ) ).
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  subsumption(
% 0.74/1.13  clause( 2, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.74/1.13  , clause( 7, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.74/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.13    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  resolution(
% 0.74/1.13  clause( 8, [ ~( 'c_in'( 'c_Pair'( 'v_x', 'v_x', 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ) ] )
% 0.74/1.13  , clause( 1, [ ~( 'c_in'( 'c_Pair'( 'v_x', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ), ~( 'c_in'( 'c_Pair'( 'v_y', X, 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ) ] )
% 0.74/1.13  , 1, clause( 0, [ 'c_in'( 'c_Pair'( 'v_y', 'v_x', 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ] )
% 0.74/1.13  , 0, substitution( 0, [ :=( X, 'v_x' )] ), substitution( 1, [] )).
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  resolution(
% 0.74/1.13  clause( 9, [] )
% 0.74/1.13  , clause( 8, [ ~( 'c_in'( 'c_Pair'( 'v_x', 'v_x', 't_a', 't_a' ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( 'v_r', 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.74/1.13     ) ) ) ] )
% 0.74/1.13  , 0, clause( 2, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.74/1.13    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.74/1.13  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 't_a'
% 0.74/1.13     ), :=( Z, 'v_r' )] )).
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  subsumption(
% 0.74/1.13  clause( 3, [] )
% 0.74/1.13  , clause( 9, [] )
% 0.74/1.13  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  end.
% 0.74/1.13  
% 0.74/1.13  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.13  
% 0.74/1.13  Memory use:
% 0.74/1.13  
% 0.74/1.13  space for terms:        171
% 0.74/1.13  space for clauses:      448
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  clauses generated:      4
% 0.74/1.13  clauses kept:           4
% 0.74/1.13  clauses selected:       3
% 0.74/1.13  clauses deleted:        0
% 0.74/1.13  clauses inuse deleted:  0
% 0.74/1.13  
% 0.74/1.13  subsentry:          0
% 0.74/1.13  literals s-matched: 0
% 0.74/1.13  literals matched:   0
% 0.74/1.13  full subsumption:   0
% 0.74/1.13  
% 0.74/1.13  checksum:           -1410778
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  Bliksem ended
%------------------------------------------------------------------------------