TSTP Solution File: COL103-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n032.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 00:12:43 EDT 2022

% Result   : Unsatisfiable 0.51s 0.89s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11  % Command  : bliksem %s
% 0.12/0.31  % Computer : n032.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % DateTime : Tue May 31 08:19:58 EDT 2022
% 0.17/0.31  % CPUTime  : 
% 0.51/0.89  *** allocated 10000 integers for termspace/termends
% 0.51/0.89  *** allocated 10000 integers for clauses
% 0.51/0.89  *** allocated 10000 integers for justifications
% 0.51/0.89  Bliksem 1.12
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  Automatic Strategy Selection
% 0.51/0.89  
% 0.51/0.89  Clauses:
% 0.51/0.89  [
% 0.51/0.89     [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' ), 
% 0.51/0.89    'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' ), 'tc_Comb_Ocomb', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ]
% 0.51/0.89    ,
% 0.51/0.89     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.51/0.89     ), 'tc_prod'( Y, Y ) ) ]
% 0.51/0.89  ] .
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  percentage equality = 0.000000, percentage horn = 1.000000
% 0.51/0.89  This is a near-Horn, non-equality  problem
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  Options Used:
% 0.51/0.89  
% 0.51/0.89  useres =            1
% 0.51/0.89  useparamod =        0
% 0.51/0.89  useeqrefl =         0
% 0.51/0.89  useeqfact =         0
% 0.51/0.89  usefactor =         1
% 0.51/0.89  usesimpsplitting =  0
% 0.51/0.89  usesimpdemod =      0
% 0.51/0.89  usesimpres =        4
% 0.51/0.89  
% 0.51/0.89  resimpinuse      =  1000
% 0.51/0.89  resimpclauses =     20000
% 0.51/0.89  substype =          standard
% 0.51/0.89  backwardsubs =      1
% 0.51/0.89  selectoldest =      5
% 0.51/0.89  
% 0.51/0.89  litorderings [0] =  split
% 0.51/0.89  litorderings [1] =  liftord
% 0.51/0.89  
% 0.51/0.89  termordering =      none
% 0.51/0.89  
% 0.51/0.89  litapriori =        1
% 0.51/0.89  termapriori =       0
% 0.51/0.89  litaposteriori =    0
% 0.51/0.89  termaposteriori =   0
% 0.51/0.89  demodaposteriori =  0
% 0.51/0.89  ordereqreflfact =   0
% 0.51/0.89  
% 0.51/0.89  litselect =         negative
% 0.51/0.89  
% 0.51/0.89  maxweight =         30000
% 0.51/0.89  maxdepth =          30000
% 0.51/0.89  maxlength =         115
% 0.51/0.89  maxnrvars =         195
% 0.51/0.89  excuselevel =       0
% 0.51/0.89  increasemaxweight = 0
% 0.51/0.89  
% 0.51/0.89  maxselected =       10000000
% 0.51/0.89  maxnrclauses =      10000000
% 0.51/0.89  
% 0.51/0.89  showgenerated =    0
% 0.51/0.89  showkept =         0
% 0.51/0.89  showselected =     0
% 0.51/0.89  showdeleted =      0
% 0.51/0.89  showresimp =       1
% 0.51/0.89  showstatus =       2000
% 0.51/0.89  
% 0.51/0.89  prologoutput =     1
% 0.51/0.89  nrgoals =          5000000
% 0.51/0.89  totalproof =       1
% 0.51/0.89  
% 0.51/0.89  Symbols occurring in the translation:
% 0.51/0.89  
% 0.51/0.89  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.51/0.89  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.51/0.89  !  [4, 1]      (w:1, o:16, a:1, s:1, b:0), 
% 0.51/0.89  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.51/0.89  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.51/0.89  'v_z'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.51/0.89  'v_x'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.51/0.89  'c_Comb_Ocomb_Oop_A_D_D'  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.51/0.89  'tc_Comb_Ocomb'  [42, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.51/0.89  'c_Pair'  [43, 4]      (w:1, o:50, a:1, s:1, b:0), 
% 0.51/0.89  'c_Comb_Ocontract'  [44, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.51/0.89  'c_Transitive__Closure_Ortrancl'  [45, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.51/0.89    
% 0.51/0.89  'tc_prod'  [46, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.51/0.89  'c_in'  [47, 3]      (w:1, o:49, a:1, s:1, b:0).
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  Starting Search:
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  Bliksems!, er is een bewijs:
% 0.51/0.89  % SZS status Unsatisfiable
% 0.51/0.89  % SZS output start Refutation
% 0.51/0.89  
% 0.51/0.89  clause( 0, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' )
% 0.51/0.89    , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' ), 'tc_Comb_Ocomb', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.51/0.89  .
% 0.51/0.89  clause( 1, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.51/0.89    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.51/0.89  .
% 0.51/0.89  clause( 2, [] )
% 0.51/0.89  .
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  % SZS output end Refutation
% 0.51/0.89  found a proof!
% 0.51/0.89  
% 0.51/0.89  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/0.89  
% 0.51/0.89  initialclauses(
% 0.51/0.89  [ clause( 4, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x'
% 0.51/0.89     ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' ), 'tc_Comb_Ocomb', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.51/0.89  , clause( 5, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.51/0.89    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.51/0.89  ] ).
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  subsumption(
% 0.51/0.89  clause( 0, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' )
% 0.51/0.89    , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' ), 'tc_Comb_Ocomb', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.51/0.89  , clause( 4, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x'
% 0.51/0.89     ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' ), 'tc_Comb_Ocomb', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.51/0.89  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  subsumption(
% 0.51/0.89  clause( 1, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.51/0.89    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.51/0.89  , clause( 5, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.51/0.89    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.51/0.89  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.51/0.89    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  resolution(
% 0.51/0.89  clause( 6, [] )
% 0.51/0.89  , clause( 0, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x'
% 0.51/0.89     ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' ), 'tc_Comb_Ocomb', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'c_Transitive__Closure_Ortrancl'( 'c_Comb_Ocontract', 
% 0.51/0.89    'tc_Comb_Ocomb' ), 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 0.51/0.89  , 0, clause( 1, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.51/0.89    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.51/0.89  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 
% 0.51/0.89    'c_Comb_Ocomb_Oop_A_D_D'( 'v_z', 'v_x' ) ), :=( Y, 'tc_Comb_Ocomb' ), 
% 0.51/0.89    :=( Z, 'c_Comb_Ocontract' )] )).
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  subsumption(
% 0.51/0.89  clause( 2, [] )
% 0.51/0.89  , clause( 6, [] )
% 0.51/0.89  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  end.
% 0.51/0.89  
% 0.51/0.89  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/0.89  
% 0.51/0.89  Memory use:
% 0.51/0.89  
% 0.51/0.89  space for terms:        102
% 0.51/0.89  space for clauses:      319
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  clauses generated:      3
% 0.51/0.89  clauses kept:           3
% 0.51/0.89  clauses selected:       1
% 0.51/0.89  clauses deleted:        1
% 0.51/0.89  clauses inuse deleted:  0
% 0.51/0.89  
% 0.51/0.89  subsentry:          0
% 0.51/0.89  literals s-matched: 0
% 0.51/0.89  literals matched:   0
% 0.51/0.89  full subsumption:   0
% 0.51/0.89  
% 0.51/0.89  checksum:           1442283338
% 0.51/0.89  
% 0.51/0.89  
% 0.51/0.89  Bliksem ended
%------------------------------------------------------------------------------