TSTP Solution File: LAT039-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 03:48:30 EDT 2022

% Result   : Unsatisfiable 0.41s 1.06s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Thu Jun 30 10:46:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/1.06  *** allocated 10000 integers for termspace/termends
% 0.41/1.06  *** allocated 10000 integers for clauses
% 0.41/1.06  *** allocated 10000 integers for justifications
% 0.41/1.06  Bliksem 1.12
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Automatic Strategy Selection
% 0.41/1.06  
% 0.41/1.06  Clauses:
% 0.41/1.06  [
% 0.41/1.06     [ =( meet( X, X ), X ) ],
% 0.41/1.06     [ =( join( X, X ), X ) ],
% 0.41/1.06     [ =( meet( X, join( X, Y ) ), X ) ],
% 0.41/1.06     [ =( join( X, meet( X, Y ) ), X ) ],
% 0.41/1.06     [ =( meet( X, Y ), meet( Y, X ) ) ],
% 0.41/1.06     [ =( join( X, Y ), join( Y, X ) ) ],
% 0.41/1.06     [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ],
% 0.41/1.06     [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ],
% 0.41/1.06     [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X, Z ) ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet( X, Z ) ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ =( join( xx, yy ), yy ) ],
% 0.41/1.06     [ ~( =( join( xx, meet( yy, zz ) ), meet( yy, join( xx, zz ) ) ) ) ]
% 0.41/1.06  ] .
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  percentage equality = 1.000000, percentage horn = 1.000000
% 0.41/1.06  This is a pure equality problem
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Options Used:
% 0.41/1.06  
% 0.41/1.06  useres =            1
% 0.41/1.06  useparamod =        1
% 0.41/1.06  useeqrefl =         1
% 0.41/1.06  useeqfact =         1
% 0.41/1.06  usefactor =         1
% 0.41/1.06  usesimpsplitting =  0
% 0.41/1.06  usesimpdemod =      5
% 0.41/1.06  usesimpres =        3
% 0.41/1.06  
% 0.41/1.06  resimpinuse      =  1000
% 0.41/1.06  resimpclauses =     20000
% 0.41/1.06  substype =          eqrewr
% 0.41/1.06  backwardsubs =      1
% 0.41/1.06  selectoldest =      5
% 0.41/1.06  
% 0.41/1.06  litorderings [0] =  split
% 0.41/1.06  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.41/1.06  
% 0.41/1.06  termordering =      kbo
% 0.41/1.06  
% 0.41/1.06  litapriori =        0
% 0.41/1.06  termapriori =       1
% 0.41/1.06  litaposteriori =    0
% 0.41/1.06  termaposteriori =   0
% 0.41/1.06  demodaposteriori =  0
% 0.41/1.06  ordereqreflfact =   0
% 0.41/1.06  
% 0.41/1.06  litselect =         negord
% 0.41/1.06  
% 0.41/1.06  maxweight =         15
% 0.41/1.06  maxdepth =          30000
% 0.41/1.06  maxlength =         115
% 0.41/1.06  maxnrvars =         195
% 0.41/1.06  excuselevel =       1
% 0.41/1.06  increasemaxweight = 1
% 0.41/1.06  
% 0.41/1.06  maxselected =       10000000
% 0.41/1.06  maxnrclauses =      10000000
% 0.41/1.06  
% 0.41/1.06  showgenerated =    0
% 0.41/1.06  showkept =         0
% 0.41/1.06  showselected =     0
% 0.41/1.06  showdeleted =      0
% 0.41/1.06  showresimp =       1
% 0.41/1.06  showstatus =       2000
% 0.41/1.06  
% 0.41/1.06  prologoutput =     1
% 0.41/1.06  nrgoals =          5000000
% 0.41/1.06  totalproof =       1
% 0.41/1.06  
% 0.41/1.06  Symbols occurring in the translation:
% 0.41/1.06  
% 0.41/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.41/1.06  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.41/1.06  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.41/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.06  meet  [40, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.41/1.06  join  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.41/1.06  xx  [44, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.41/1.06  yy  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.41/1.06  zz  [46, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Starting Search:
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Bliksems!, er is een bewijs:
% 0.41/1.06  % SZS status Unsatisfiable
% 0.41/1.06  % SZS output start Refutation
% 0.41/1.06  
% 0.41/1.06  clause( 8, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z ) )
% 0.41/1.06     ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 10, [ =( join( xx, yy ), yy ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 11, [ ~( =( join( xx, meet( yy, zz ) ), meet( yy, join( xx, zz ) )
% 0.41/1.06     ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 87, [ =( join( xx, meet( yy, X ) ), meet( yy, join( xx, X ) ) ) ]
% 0.41/1.06     )
% 0.41/1.06  .
% 0.41/1.06  clause( 135, [] )
% 0.41/1.06  .
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  % SZS output end Refutation
% 0.41/1.06  found a proof!
% 0.41/1.06  
% 0.41/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06  
% 0.41/1.06  initialclauses(
% 0.41/1.06  [ clause( 137, [ =( meet( X, X ), X ) ] )
% 0.41/1.06  , clause( 138, [ =( join( X, X ), X ) ] )
% 0.41/1.06  , clause( 139, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.41/1.06  , clause( 140, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.41/1.06  , clause( 141, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.41/1.06  , clause( 142, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.41/1.06  , clause( 143, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ] )
% 0.41/1.06  , clause( 144, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.41/1.06  , clause( 145, [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X, Z
% 0.41/1.06     ) ) ) ] )
% 0.41/1.06  , clause( 146, [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet( X, Z
% 0.41/1.06     ) ) ) ] )
% 0.41/1.06  , clause( 147, [ =( join( xx, yy ), yy ) ] )
% 0.41/1.06  , clause( 148, [ ~( =( join( xx, meet( yy, zz ) ), meet( yy, join( xx, zz )
% 0.41/1.06     ) ) ) ] )
% 0.41/1.06  ] ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  eqswap(
% 0.41/1.06  clause( 155, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z )
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 145, [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X, Z
% 0.41/1.06     ) ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 8, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z ) )
% 0.41/1.06     ) ] )
% 0.41/1.06  , clause( 155, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z
% 0.41/1.06     ) ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 10, [ =( join( xx, yy ), yy ) ] )
% 0.41/1.06  , clause( 147, [ =( join( xx, yy ), yy ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 11, [ ~( =( join( xx, meet( yy, zz ) ), meet( yy, join( xx, zz ) )
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 148, [ ~( =( join( xx, meet( yy, zz ) ), meet( yy, join( xx, zz )
% 0.41/1.06     ) ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  eqswap(
% 0.41/1.06  clause( 176, [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X, Z )
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 8, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z )
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  paramod(
% 0.41/1.06  clause( 177, [ =( join( xx, meet( yy, X ) ), meet( yy, join( xx, X ) ) ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 10, [ =( join( xx, yy ), yy ) ] )
% 0.41/1.06  , 0, clause( 176, [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X
% 0.41/1.06    , Z ) ) ) ] )
% 0.41/1.06  , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, xx ), :=( Y, yy )
% 0.41/1.06    , :=( Z, X )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 87, [ =( join( xx, meet( yy, X ) ), meet( yy, join( xx, X ) ) ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 177, [ =( join( xx, meet( yy, X ) ), meet( yy, join( xx, X ) ) )
% 0.41/1.06     ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  paramod(
% 0.41/1.06  clause( 183, [ ~( =( meet( yy, join( xx, zz ) ), meet( yy, join( xx, zz ) )
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 87, [ =( join( xx, meet( yy, X ) ), meet( yy, join( xx, X ) ) ) ]
% 0.41/1.06     )
% 0.41/1.06  , 0, clause( 11, [ ~( =( join( xx, meet( yy, zz ) ), meet( yy, join( xx, zz
% 0.41/1.06     ) ) ) ) ] )
% 0.41/1.06  , 0, 2, substitution( 0, [ :=( X, zz )] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  eqrefl(
% 0.41/1.06  clause( 184, [] )
% 0.41/1.06  , clause( 183, [ ~( =( meet( yy, join( xx, zz ) ), meet( yy, join( xx, zz )
% 0.41/1.06     ) ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 135, [] )
% 0.41/1.06  , clause( 184, [] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  end.
% 0.41/1.06  
% 0.41/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06  
% 0.41/1.06  Memory use:
% 0.41/1.06  
% 0.41/1.06  space for terms:        1769
% 0.41/1.06  space for clauses:      14683
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  clauses generated:      744
% 0.41/1.06  clauses kept:           136
% 0.41/1.06  clauses selected:       35
% 0.41/1.06  clauses deleted:        1
% 0.41/1.06  clauses inuse deleted:  0
% 0.41/1.06  
% 0.41/1.06  subsentry:          226
% 0.41/1.06  literals s-matched: 131
% 0.41/1.06  literals matched:   131
% 0.41/1.06  full subsumption:   0
% 0.41/1.06  
% 0.41/1.06  checksum:           16257957
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Bliksem ended
%------------------------------------------------------------------------------