TSTP Solution File: LAT039-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LAT039-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n011.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 0.42s 1.08s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT039-2 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n011.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 30 14:38:03 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.42/1.08  *** allocated 10000 integers for termspace/termends
% 0.42/1.08  *** allocated 10000 integers for clauses
% 0.42/1.08  *** allocated 10000 integers for justifications
% 0.42/1.08  Bliksem 1.12
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  Automatic Strategy Selection
% 0.42/1.08  
% 0.42/1.08  Clauses:
% 0.42/1.08  [
% 0.42/1.08     [ =( meet( X, X ), X ) ],
% 0.42/1.08     [ =( join( X, X ), X ) ],
% 0.42/1.08     [ =( meet( X, join( X, Y ) ), X ) ],
% 0.42/1.08     [ =( join( X, meet( X, Y ) ), X ) ],
% 0.42/1.08     [ =( meet( X, Y ), meet( Y, X ) ) ],
% 0.42/1.08     [ =( join( X, Y ), join( Y, X ) ) ],
% 0.42/1.08     [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ],
% 0.42/1.08     [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ],
% 0.42/1.08     [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X, Z ) ) ) ]
% 0.42/1.08    ,
% 0.42/1.08     [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet( X, Z ) ) ) ]
% 0.42/1.08    ,
% 0.42/1.08     [ =( join( xx, yy ), yy ) ],
% 0.42/1.08     [ ~( =( join( xx, meet( yy, zz ) ), meet( join( xx, yy ), join( xx, zz )
% 0.42/1.08     ) ) ) ]
% 0.42/1.08  ] .
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.08  This is a pure equality problem
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  Options Used:
% 0.42/1.08  
% 0.42/1.08  useres =            1
% 0.42/1.08  useparamod =        1
% 0.42/1.08  useeqrefl =         1
% 0.42/1.08  useeqfact =         1
% 0.42/1.08  usefactor =         1
% 0.42/1.08  usesimpsplitting =  0
% 0.42/1.08  usesimpdemod =      5
% 0.42/1.08  usesimpres =        3
% 0.42/1.08  
% 0.42/1.08  resimpinuse      =  1000
% 0.42/1.08  resimpclauses =     20000
% 0.42/1.08  substype =          eqrewr
% 0.42/1.08  backwardsubs =      1
% 0.42/1.08  selectoldest =      5
% 0.42/1.08  
% 0.42/1.08  litorderings [0] =  split
% 0.42/1.08  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.42/1.08  
% 0.42/1.08  termordering =      kbo
% 0.42/1.08  
% 0.42/1.08  litapriori =        0
% 0.42/1.08  termapriori =       1
% 0.42/1.08  litaposteriori =    0
% 0.42/1.08  termaposteriori =   0
% 0.42/1.08  demodaposteriori =  0
% 0.42/1.08  ordereqreflfact =   0
% 0.42/1.08  
% 0.42/1.08  litselect =         negord
% 0.42/1.08  
% 0.42/1.08  maxweight =         15
% 0.42/1.08  maxdepth =          30000
% 0.42/1.08  maxlength =         115
% 0.42/1.08  maxnrvars =         195
% 0.42/1.08  excuselevel =       1
% 0.42/1.08  increasemaxweight = 1
% 0.42/1.08  
% 0.42/1.08  maxselected =       10000000
% 0.42/1.08  maxnrclauses =      10000000
% 0.42/1.08  
% 0.42/1.08  showgenerated =    0
% 0.42/1.08  showkept =         0
% 0.42/1.08  showselected =     0
% 0.42/1.08  showdeleted =      0
% 0.42/1.08  showresimp =       1
% 0.42/1.08  showstatus =       2000
% 0.42/1.08  
% 0.42/1.08  prologoutput =     1
% 0.42/1.08  nrgoals =          5000000
% 0.42/1.08  totalproof =       1
% 0.42/1.08  
% 0.42/1.08  Symbols occurring in the translation:
% 0.42/1.08  
% 0.42/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.42/1.08  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.42/1.08  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.42/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.08  meet  [40, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.42/1.08  join  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.42/1.08  xx  [44, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.42/1.08  yy  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.42/1.08  zz  [46, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  Starting Search:
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  Bliksems!, er is een bewijs:
% 0.42/1.08  % SZS status Unsatisfiable
% 0.42/1.08  % SZS output start Refutation
% 0.42/1.08  
% 0.42/1.08  clause( 8, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z ) )
% 0.42/1.08     ) ] )
% 0.42/1.08  .
% 0.42/1.08  clause( 11, [] )
% 0.42/1.08  .
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  % SZS output end Refutation
% 0.42/1.08  found a proof!
% 0.42/1.08  
% 0.42/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08  
% 0.42/1.08  initialclauses(
% 0.42/1.08  [ clause( 13, [ =( meet( X, X ), X ) ] )
% 0.42/1.08  , clause( 14, [ =( join( X, X ), X ) ] )
% 0.42/1.08  , clause( 15, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.42/1.08  , clause( 16, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.42/1.08  , clause( 17, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.42/1.08  , clause( 18, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.42/1.08  , clause( 19, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ] )
% 0.42/1.08  , clause( 20, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.42/1.08  , clause( 21, [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X, Z
% 0.42/1.08     ) ) ) ] )
% 0.42/1.08  , clause( 22, [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet( X, Z
% 0.42/1.08     ) ) ) ] )
% 0.42/1.08  , clause( 23, [ =( join( xx, yy ), yy ) ] )
% 0.42/1.08  , clause( 24, [ ~( =( join( xx, meet( yy, zz ) ), meet( join( xx, yy ), 
% 0.42/1.08    join( xx, zz ) ) ) ) ] )
% 0.42/1.08  ] ).
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  eqswap(
% 0.42/1.08  clause( 31, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z )
% 0.42/1.08     ) ) ] )
% 0.42/1.08  , clause( 21, [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X, Z
% 0.42/1.08     ) ) ) ] )
% 0.42/1.08  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  subsumption(
% 0.42/1.08  clause( 8, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z ) )
% 0.42/1.08     ) ] )
% 0.42/1.08  , clause( 31, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z
% 0.42/1.08     ) ) ) ] )
% 0.42/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.42/1.08    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  paramod(
% 0.42/1.08  clause( 56, [ ~( =( join( xx, meet( yy, zz ) ), join( xx, meet( yy, zz ) )
% 0.42/1.08     ) ) ] )
% 0.42/1.08  , clause( 8, [ =( meet( join( X, Y ), join( X, Z ) ), join( X, meet( Y, Z )
% 0.42/1.08     ) ) ] )
% 0.42/1.08  , 0, clause( 24, [ ~( =( join( xx, meet( yy, zz ) ), meet( join( xx, yy ), 
% 0.42/1.08    join( xx, zz ) ) ) ) ] )
% 0.42/1.08  , 0, 7, substitution( 0, [ :=( X, xx ), :=( Y, yy ), :=( Z, zz )] ), 
% 0.42/1.08    substitution( 1, [] )).
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  eqrefl(
% 0.42/1.08  clause( 57, [] )
% 0.42/1.08  , clause( 56, [ ~( =( join( xx, meet( yy, zz ) ), join( xx, meet( yy, zz )
% 0.42/1.08     ) ) ) ] )
% 0.42/1.08  , 0, substitution( 0, [] )).
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  subsumption(
% 0.42/1.08  clause( 11, [] )
% 0.42/1.08  , clause( 57, [] )
% 0.42/1.08  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  end.
% 0.42/1.08  
% 0.42/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08  
% 0.42/1.08  Memory use:
% 0.42/1.08  
% 0.42/1.08  space for terms:        356
% 0.42/1.08  space for clauses:      1167
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  clauses generated:      12
% 0.42/1.08  clauses kept:           12
% 0.42/1.08  clauses selected:       0
% 0.42/1.08  clauses deleted:        0
% 0.42/1.08  clauses inuse deleted:  0
% 0.42/1.08  
% 0.42/1.08  subsentry:          114
% 0.42/1.08  literals s-matched: 49
% 0.42/1.08  literals matched:   49
% 0.42/1.08  full subsumption:   0
% 0.42/1.08  
% 0.42/1.08  checksum:           -275976
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  Bliksem ended
%------------------------------------------------------------------------------