TSTP Solution File: SET832-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET832-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 : Mon Jul 18 22:52:28 EDT 2022

% Result   : Unsatisfiable 0.71s 1.09s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET832-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Sun Jul 10 03:56:38 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.71/1.09  *** allocated 10000 integers for termspace/termends
% 0.71/1.09  *** allocated 10000 integers for clauses
% 0.71/1.09  *** allocated 10000 integers for justifications
% 0.71/1.09  Bliksem 1.12
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Automatic Strategy Selection
% 0.71/1.09  
% 0.71/1.09  Clauses:
% 0.71/1.09  [
% 0.71/1.09     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 0.71/1.09    'c_in'( X, T, Z ) ],
% 0.71/1.09     [ 'c_lessequals'( 'v_Y', 'v_V', 'tc_set'( 't_a' ) ) ],
% 0.71/1.09     [ 'c_in'( 'v_x', 'v_Y', 't_a' ) ],
% 0.71/1.09     [ ~( 'c_in'( 'v_x', 'v_V', 't_a' ) ) ]
% 0.71/1.09  ] .
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  percentage equality = 0.000000, percentage horn = 1.000000
% 0.71/1.09  This is a near-Horn, non-equality  problem
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Options Used:
% 0.71/1.09  
% 0.71/1.09  useres =            1
% 0.71/1.09  useparamod =        0
% 0.71/1.09  useeqrefl =         0
% 0.71/1.09  useeqfact =         0
% 0.71/1.09  usefactor =         1
% 0.71/1.09  usesimpsplitting =  0
% 0.71/1.09  usesimpdemod =      0
% 0.71/1.09  usesimpres =        4
% 0.71/1.09  
% 0.71/1.09  resimpinuse      =  1000
% 0.71/1.09  resimpclauses =     20000
% 0.71/1.09  substype =          standard
% 0.71/1.09  backwardsubs =      1
% 0.71/1.09  selectoldest =      5
% 0.71/1.09  
% 0.71/1.09  litorderings [0] =  split
% 0.71/1.09  litorderings [1] =  liftord
% 0.71/1.09  
% 0.71/1.09  termordering =      none
% 0.71/1.09  
% 0.71/1.09  litapriori =        1
% 0.71/1.09  termapriori =       0
% 0.71/1.09  litaposteriori =    0
% 0.71/1.09  termaposteriori =   0
% 0.71/1.09  demodaposteriori =  0
% 0.71/1.09  ordereqreflfact =   0
% 0.71/1.09  
% 0.71/1.09  litselect =         negative
% 0.71/1.09  
% 0.71/1.09  maxweight =         30000
% 0.71/1.09  maxdepth =          30000
% 0.71/1.09  maxlength =         115
% 0.71/1.09  maxnrvars =         195
% 0.71/1.09  excuselevel =       0
% 0.71/1.09  increasemaxweight = 0
% 0.71/1.09  
% 0.71/1.09  maxselected =       10000000
% 0.71/1.09  maxnrclauses =      10000000
% 0.71/1.09  
% 0.71/1.09  showgenerated =    0
% 0.71/1.09  showkept =         0
% 0.71/1.09  showselected =     0
% 0.71/1.09  showdeleted =      0
% 0.71/1.09  showresimp =       1
% 0.71/1.09  showstatus =       2000
% 0.71/1.09  
% 0.71/1.09  prologoutput =     1
% 0.71/1.09  nrgoals =          5000000
% 0.71/1.09  totalproof =       1
% 0.71/1.09  
% 0.71/1.09  Symbols occurring in the translation:
% 0.71/1.09  
% 0.71/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.09  .  [1, 2]      (w:1, o:23, a:1, s:1, b:0), 
% 0.71/1.09  !  [4, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.71/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  'c_in'  [42, 3]      (w:1, o:48, a:1, s:1, b:0), 
% 0.71/1.09  'tc_set'  [44, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.71/1.09  'c_lessequals'  [45, 3]      (w:1, o:49, a:1, s:1, b:0), 
% 0.71/1.09  'v_Y'  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.71/1.09  'v_V'  [47, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.71/1.09  't_a'  [48, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.71/1.09  'v_x'  [49, 0]      (w:1, o:16, a:1, s:1, b:0).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Starting Search:
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksems!, er is een bewijs:
% 0.71/1.09  % SZS status Unsatisfiable
% 0.71/1.09  % SZS output start Refutation
% 0.71/1.09  
% 0.71/1.09  clause( 0, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z )
% 0.71/1.09    , ~( 'c_in'( X, Y, Z ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 1, [ 'c_lessequals'( 'v_Y', 'v_V', 'tc_set'( 't_a' ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 2, [ 'c_in'( 'v_x', 'v_Y', 't_a' ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 3, [ ~( 'c_in'( 'v_x', 'v_V', 't_a' ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 4, [ 'c_in'( 'v_x', X, 't_a' ), ~( 'c_lessequals'( 'v_Y', X, 
% 0.71/1.09    'tc_set'( 't_a' ) ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 5, [] )
% 0.71/1.09  .
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  % SZS output end Refutation
% 0.71/1.09  found a proof!
% 0.71/1.09  
% 0.71/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09  
% 0.71/1.09  initialclauses(
% 0.71/1.09  [ clause( 7, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 0.71/1.09     ) ) ), 'c_in'( X, T, Z ) ] )
% 0.71/1.09  , clause( 8, [ 'c_lessequals'( 'v_Y', 'v_V', 'tc_set'( 't_a' ) ) ] )
% 0.71/1.09  , clause( 9, [ 'c_in'( 'v_x', 'v_Y', 't_a' ) ] )
% 0.71/1.09  , clause( 10, [ ~( 'c_in'( 'v_x', 'v_V', 't_a' ) ) ] )
% 0.71/1.09  ] ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 0, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z )
% 0.71/1.09    , ~( 'c_in'( X, Y, Z ) ) ] )
% 0.71/1.09  , clause( 7, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 0.71/1.09     ) ) ), 'c_in'( X, T, Z ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.71/1.09    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 1, [ 'c_lessequals'( 'v_Y', 'v_V', 'tc_set'( 't_a' ) ) ] )
% 0.71/1.09  , clause( 8, [ 'c_lessequals'( 'v_Y', 'v_V', 'tc_set'( 't_a' ) ) ] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 2, [ 'c_in'( 'v_x', 'v_Y', 't_a' ) ] )
% 0.71/1.09  , clause( 9, [ 'c_in'( 'v_x', 'v_Y', 't_a' ) ] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 3, [ ~( 'c_in'( 'v_x', 'v_V', 't_a' ) ) ] )
% 0.71/1.09  , clause( 10, [ ~( 'c_in'( 'v_x', 'v_V', 't_a' ) ) ] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 11, [ ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 0.71/1.09    'v_x', X, 't_a' ) ] )
% 0.71/1.09  , clause( 0, [ ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X, T, Z
% 0.71/1.09     ), ~( 'c_in'( X, Y, Z ) ) ] )
% 0.71/1.09  , 2, clause( 2, [ 'c_in'( 'v_x', 'v_Y', 't_a' ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, 'v_x' ), :=( Y, 'v_Y' ), :=( Z, 't_a' ), 
% 0.71/1.09    :=( T, X )] ), substitution( 1, [] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 4, [ 'c_in'( 'v_x', X, 't_a' ), ~( 'c_lessequals'( 'v_Y', X, 
% 0.71/1.09    'tc_set'( 't_a' ) ) ) ] )
% 0.71/1.09  , clause( 11, [ ~( 'c_lessequals'( 'v_Y', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 0.71/1.09    'v_x', X, 't_a' ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.09    0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 12, [ 'c_in'( 'v_x', 'v_V', 't_a' ) ] )
% 0.71/1.09  , clause( 4, [ 'c_in'( 'v_x', X, 't_a' ), ~( 'c_lessequals'( 'v_Y', X, 
% 0.71/1.09    'tc_set'( 't_a' ) ) ) ] )
% 0.71/1.09  , 1, clause( 1, [ 'c_lessequals'( 'v_Y', 'v_V', 'tc_set'( 't_a' ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, 'v_V' )] ), substitution( 1, [] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 13, [] )
% 0.71/1.09  , clause( 3, [ ~( 'c_in'( 'v_x', 'v_V', 't_a' ) ) ] )
% 0.71/1.09  , 0, clause( 12, [ 'c_in'( 'v_x', 'v_V', 't_a' ) ] )
% 0.71/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 5, [] )
% 0.71/1.09  , clause( 13, [] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  end.
% 0.71/1.09  
% 0.71/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09  
% 0.71/1.09  Memory use:
% 0.71/1.09  
% 0.71/1.09  space for terms:        124
% 0.71/1.09  space for clauses:      362
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  clauses generated:      6
% 0.71/1.09  clauses kept:           6
% 0.71/1.09  clauses selected:       5
% 0.71/1.09  clauses deleted:        0
% 0.71/1.09  clauses inuse deleted:  0
% 0.71/1.09  
% 0.71/1.09  subsentry:          0
% 0.71/1.09  literals s-matched: 0
% 0.71/1.09  literals matched:   0
% 0.71/1.09  full subsumption:   0
% 0.71/1.09  
% 0.71/1.09  checksum:           8400093
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksem ended
%------------------------------------------------------------------------------