TSTP Solution File: LAT034-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 03:48:28 EDT 2022

% Result   : Unsatisfiable 0.72s 1.09s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Thu Jun 30 06:56:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.72/1.09  *** allocated 10000 integers for termspace/termends
% 0.72/1.09  *** allocated 10000 integers for clauses
% 0.72/1.09  *** allocated 10000 integers for justifications
% 0.72/1.09  Bliksem 1.12
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Automatic Strategy Selection
% 0.72/1.09  
% 0.72/1.09  Clauses:
% 0.72/1.09  [
% 0.72/1.09     [ =( meet( X, join( X, Y ) ), X ) ],
% 0.72/1.09     [ =( join( X, meet( X, Y ) ), X ) ],
% 0.72/1.09     [ =( meet( X, Y ), meet( Y, X ) ) ],
% 0.72/1.09     [ =( join( X, Y ), join( Y, X ) ) ],
% 0.72/1.09     [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ],
% 0.72/1.09     [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ],
% 0.72/1.09     [ ~( =( meet( xx, xx ), xx ) ) ]
% 0.72/1.09  ] .
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.09  This is a pure equality problem
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Options Used:
% 0.72/1.09  
% 0.72/1.09  useres =            1
% 0.72/1.09  useparamod =        1
% 0.72/1.09  useeqrefl =         1
% 0.72/1.09  useeqfact =         1
% 0.72/1.09  usefactor =         1
% 0.72/1.09  usesimpsplitting =  0
% 0.72/1.09  usesimpdemod =      5
% 0.72/1.09  usesimpres =        3
% 0.72/1.09  
% 0.72/1.09  resimpinuse      =  1000
% 0.72/1.09  resimpclauses =     20000
% 0.72/1.09  substype =          eqrewr
% 0.72/1.09  backwardsubs =      1
% 0.72/1.09  selectoldest =      5
% 0.72/1.09  
% 0.72/1.09  litorderings [0] =  split
% 0.72/1.09  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.72/1.09  
% 0.72/1.09  termordering =      kbo
% 0.72/1.09  
% 0.72/1.09  litapriori =        0
% 0.72/1.09  termapriori =       1
% 0.72/1.09  litaposteriori =    0
% 0.72/1.09  termaposteriori =   0
% 0.72/1.09  demodaposteriori =  0
% 0.72/1.09  ordereqreflfact =   0
% 0.72/1.09  
% 0.72/1.09  litselect =         negord
% 0.72/1.09  
% 0.72/1.09  maxweight =         15
% 0.72/1.09  maxdepth =          30000
% 0.72/1.09  maxlength =         115
% 0.72/1.09  maxnrvars =         195
% 0.72/1.09  excuselevel =       1
% 0.72/1.09  increasemaxweight = 1
% 0.72/1.09  
% 0.72/1.09  maxselected =       10000000
% 0.72/1.09  maxnrclauses =      10000000
% 0.72/1.09  
% 0.72/1.09  showgenerated =    0
% 0.72/1.09  showkept =         0
% 0.72/1.09  showselected =     0
% 0.72/1.09  showdeleted =      0
% 0.72/1.09  showresimp =       1
% 0.72/1.09  showstatus =       2000
% 0.72/1.09  
% 0.72/1.09  prologoutput =     1
% 0.72/1.09  nrgoals =          5000000
% 0.72/1.09  totalproof =       1
% 0.72/1.09  
% 0.72/1.09  Symbols occurring in the translation:
% 0.72/1.09  
% 0.72/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.09  .  [1, 2]      (w:1, o:18, a:1, s:1, b:0), 
% 0.72/1.09  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.72/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.09  join  [41, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.72/1.09  meet  [42, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 0.72/1.09  xx  [44, 0]      (w:1, o:12, a:1, s:1, b:0).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Starting Search:
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Bliksems!, er is een bewijs:
% 0.72/1.09  % SZS status Unsatisfiable
% 0.72/1.09  % SZS output start Refutation
% 0.72/1.09  
% 0.72/1.09  clause( 0, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.72/1.09  .
% 0.72/1.09  clause( 1, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.72/1.09  .
% 0.72/1.09  clause( 2, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.72/1.09  .
% 0.72/1.09  clause( 6, [ ~( =( meet( xx, xx ), xx ) ) ] )
% 0.72/1.09  .
% 0.72/1.09  clause( 7, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.72/1.09  .
% 0.72/1.09  clause( 11, [ =( meet( X, X ), X ) ] )
% 0.72/1.09  .
% 0.72/1.09  clause( 15, [] )
% 0.72/1.09  .
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  % SZS output end Refutation
% 0.72/1.09  found a proof!
% 0.72/1.09  
% 0.72/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09  
% 0.72/1.09  initialclauses(
% 0.72/1.09  [ clause( 17, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.72/1.09  , clause( 18, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.72/1.09  , clause( 19, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.72/1.09  , clause( 20, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.72/1.09  , clause( 21, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ] )
% 0.72/1.09  , clause( 22, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.72/1.09  , clause( 23, [ ~( =( meet( xx, xx ), xx ) ) ] )
% 0.72/1.09  ] ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 0, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.72/1.09  , clause( 17, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09     )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 1, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.72/1.09  , clause( 18, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09     )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 2, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.72/1.09  , clause( 19, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09     )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 6, [ ~( =( meet( xx, xx ), xx ) ) ] )
% 0.72/1.09  , clause( 23, [ ~( =( meet( xx, xx ), xx ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 34, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 0.72/1.09  , clause( 1, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  paramod(
% 0.72/1.09  clause( 35, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.72/1.09  , clause( 2, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.72/1.09  , 0, clause( 34, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 0.72/1.09  , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.72/1.09    :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 38, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.72/1.09  , clause( 35, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 7, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.72/1.09  , clause( 38, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09     )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 40, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 0.72/1.09  , clause( 0, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  paramod(
% 0.72/1.09  clause( 43, [ =( X, meet( X, X ) ) ] )
% 0.72/1.09  , clause( 7, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.72/1.09  , 0, clause( 40, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 0.72/1.09  , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.72/1.09    :=( X, X ), :=( Y, meet( Y, X ) )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 44, [ =( meet( X, X ), X ) ] )
% 0.72/1.09  , clause( 43, [ =( X, meet( X, X ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 11, [ =( meet( X, X ), X ) ] )
% 0.72/1.09  , clause( 44, [ =( meet( X, X ), X ) ] )
% 0.72/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 45, [ =( X, meet( X, X ) ) ] )
% 0.72/1.09  , clause( 11, [ =( meet( X, X ), X ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 46, [ ~( =( xx, meet( xx, xx ) ) ) ] )
% 0.72/1.09  , clause( 6, [ ~( =( meet( xx, xx ), xx ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 47, [] )
% 0.72/1.09  , clause( 46, [ ~( =( xx, meet( xx, xx ) ) ) ] )
% 0.72/1.09  , 0, clause( 45, [ =( X, meet( X, X ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, xx )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 15, [] )
% 0.72/1.09  , clause( 47, [] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  end.
% 0.72/1.09  
% 0.72/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09  
% 0.72/1.09  Memory use:
% 0.72/1.09  
% 0.72/1.09  space for terms:        257
% 0.72/1.09  space for clauses:      1395
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  clauses generated:      56
% 0.72/1.09  clauses kept:           16
% 0.72/1.09  clauses selected:       7
% 0.72/1.09  clauses deleted:        0
% 0.72/1.09  clauses inuse deleted:  0
% 0.72/1.09  
% 0.72/1.09  subsentry:          103
% 0.72/1.09  literals s-matched: 53
% 0.72/1.09  literals matched:   49
% 0.72/1.09  full subsumption:   0
% 0.72/1.09  
% 0.72/1.09  checksum:           -2754331
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Bliksem ended
%------------------------------------------------------------------------------