TSTP Solution File: SYN333-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN333-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n003.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 : Thu Jul 21 02:49:43 EDT 2022

% Result   : Unsatisfiable 0.43s 1.07s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN333-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n003.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 : Tue Jul 12 04:48:15 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.43/1.07  *** allocated 10000 integers for termspace/termends
% 0.43/1.07  *** allocated 10000 integers for clauses
% 0.43/1.07  *** allocated 10000 integers for justifications
% 0.43/1.07  Bliksem 1.12
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Automatic Strategy Selection
% 0.43/1.07  
% 0.43/1.07  Clauses:
% 0.43/1.07  [
% 0.43/1.07     [ f( X, Y ) ],
% 0.43/1.07     [ ~( f( X, z( Y, X ) ) ), ~( f( z( Y, X ), z( Y, X ) ) ), g( Y, X ) ]
% 0.43/1.07    ,
% 0.43/1.07     [ ~( f( X, z( Y, X ) ) ), ~( f( z( Y, X ), z( Y, X ) ) ), ~( g( Y, z( Y
% 0.43/1.07    , X ) ) ), ~( g( z( Y, X ), z( Y, X ) ) ) ]
% 0.43/1.07  ] .
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  percentage equality = 0.000000, percentage horn = 1.000000
% 0.43/1.07  This is a near-Horn, non-equality  problem
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Options Used:
% 0.43/1.07  
% 0.43/1.07  useres =            1
% 0.43/1.07  useparamod =        0
% 0.43/1.07  useeqrefl =         0
% 0.43/1.07  useeqfact =         0
% 0.43/1.07  usefactor =         1
% 0.43/1.07  usesimpsplitting =  0
% 0.43/1.07  usesimpdemod =      0
% 0.43/1.07  usesimpres =        4
% 0.43/1.07  
% 0.43/1.07  resimpinuse      =  1000
% 0.43/1.07  resimpclauses =     20000
% 0.43/1.07  substype =          standard
% 0.43/1.07  backwardsubs =      1
% 0.43/1.07  selectoldest =      5
% 0.43/1.07  
% 0.43/1.07  litorderings [0] =  split
% 0.43/1.07  litorderings [1] =  liftord
% 0.43/1.07  
% 0.43/1.07  termordering =      none
% 0.43/1.07  
% 0.43/1.07  litapriori =        1
% 0.43/1.07  termapriori =       0
% 0.43/1.07  litaposteriori =    0
% 0.43/1.07  termaposteriori =   0
% 0.43/1.07  demodaposteriori =  0
% 0.43/1.07  ordereqreflfact =   0
% 0.43/1.07  
% 0.43/1.07  litselect =         negative
% 0.43/1.07  
% 0.43/1.07  maxweight =         30000
% 0.43/1.07  maxdepth =          30000
% 0.43/1.07  maxlength =         115
% 0.43/1.07  maxnrvars =         195
% 0.43/1.07  excuselevel =       0
% 0.43/1.07  increasemaxweight = 0
% 0.43/1.07  
% 0.43/1.07  maxselected =       10000000
% 0.43/1.07  maxnrclauses =      10000000
% 0.43/1.07  
% 0.43/1.07  showgenerated =    0
% 0.43/1.07  showkept =         0
% 0.43/1.07  showselected =     0
% 0.43/1.07  showdeleted =      0
% 0.43/1.07  showresimp =       1
% 0.43/1.07  showstatus =       2000
% 0.43/1.07  
% 0.43/1.07  prologoutput =     1
% 0.43/1.07  nrgoals =          5000000
% 0.43/1.07  totalproof =       1
% 0.43/1.07  
% 0.43/1.07  Symbols occurring in the translation:
% 0.43/1.07  
% 0.43/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.07  .  [1, 2]      (w:1, o:16, a:1, s:1, b:0), 
% 0.43/1.07  !  [4, 1]      (w:1, o:11, a:1, s:1, b:0), 
% 0.43/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.07  f  [41, 2]      (w:1, o:41, a:1, s:1, b:0), 
% 0.43/1.07  z  [42, 2]      (w:1, o:42, a:1, s:1, b:0), 
% 0.43/1.07  g  [43, 2]      (w:1, o:43, a:1, s:1, b:0).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Starting Search:
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksems!, er is een bewijs:
% 0.43/1.07  % SZS status Unsatisfiable
% 0.43/1.07  % SZS output start Refutation
% 0.43/1.07  
% 0.43/1.07  clause( 0, [ f( X, Y ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 1, [ g( Y, X ), ~( f( z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 2, [ ~( g( Y, z( Y, X ) ) ), ~( g( z( Y, X ), z( Y, X ) ) ), ~( f( 
% 0.43/1.07    z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 3, [ g( Y, X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 4, [] )
% 0.43/1.07  .
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  % SZS output end Refutation
% 0.43/1.07  found a proof!
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  initialclauses(
% 0.43/1.07  [ clause( 6, [ f( X, Y ) ] )
% 0.43/1.07  , clause( 7, [ ~( f( X, z( Y, X ) ) ), ~( f( z( Y, X ), z( Y, X ) ) ), g( Y
% 0.43/1.07    , X ) ] )
% 0.43/1.07  , clause( 8, [ ~( f( X, z( Y, X ) ) ), ~( f( z( Y, X ), z( Y, X ) ) ), ~( g( 
% 0.43/1.07    Y, z( Y, X ) ) ), ~( g( z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  ] ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 0, [ f( X, Y ) ] )
% 0.43/1.07  , clause( 6, [ f( X, Y ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 9, [ ~( f( z( Y, X ), z( Y, X ) ) ), g( Y, X ) ] )
% 0.43/1.07  , clause( 7, [ ~( f( X, z( Y, X ) ) ), ~( f( z( Y, X ), z( Y, X ) ) ), g( Y
% 0.43/1.07    , X ) ] )
% 0.43/1.07  , 0, clause( 0, [ f( X, Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.43/1.07    , X ), :=( Y, z( Y, X ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 1, [ g( Y, X ), ~( f( z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  , clause( 9, [ ~( f( z( Y, X ), z( Y, X ) ) ), g( Y, X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.43/1.07     ), ==>( 1, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 13, [ ~( f( z( Y, X ), z( Y, X ) ) ), ~( g( Y, z( Y, X ) ) ), ~( g( 
% 0.43/1.07    z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  , clause( 8, [ ~( f( X, z( Y, X ) ) ), ~( f( z( Y, X ), z( Y, X ) ) ), ~( g( 
% 0.43/1.07    Y, z( Y, X ) ) ), ~( g( z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  , 0, clause( 0, [ f( X, Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.43/1.07    , X ), :=( Y, z( Y, X ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 2, [ ~( g( Y, z( Y, X ) ) ), ~( g( z( Y, X ), z( Y, X ) ) ), ~( f( 
% 0.43/1.07    z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  , clause( 13, [ ~( f( z( Y, X ), z( Y, X ) ) ), ~( g( Y, z( Y, X ) ) ), ~( 
% 0.43/1.07    g( z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.43/1.07     ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 15, [ g( X, Y ) ] )
% 0.43/1.07  , clause( 1, [ g( Y, X ), ~( f( z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  , 1, clause( 0, [ f( X, Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.43/1.07    , z( X, Y ) ), :=( Y, z( X, Y ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 3, [ g( Y, X ) ] )
% 0.43/1.07  , clause( 15, [ g( X, Y ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 16, [ ~( g( z( X, Y ), z( X, Y ) ) ), ~( f( z( X, Y ), z( X, Y ) )
% 0.43/1.07     ) ] )
% 0.43/1.07  , clause( 2, [ ~( g( Y, z( Y, X ) ) ), ~( g( z( Y, X ), z( Y, X ) ) ), ~( f( 
% 0.43/1.07    z( Y, X ), z( Y, X ) ) ) ] )
% 0.43/1.07  , 0, clause( 3, [ g( Y, X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.43/1.07    , z( X, Y ) ), :=( Y, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 18, [ ~( f( z( X, Y ), z( X, Y ) ) ) ] )
% 0.43/1.07  , clause( 16, [ ~( g( z( X, Y ), z( X, Y ) ) ), ~( f( z( X, Y ), z( X, Y )
% 0.43/1.07     ) ) ] )
% 0.43/1.07  , 0, clause( 3, [ g( Y, X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.43/1.07    , z( X, Y ) ), :=( Y, z( X, Y ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 19, [] )
% 0.43/1.07  , clause( 18, [ ~( f( z( X, Y ), z( X, Y ) ) ) ] )
% 0.43/1.07  , 0, clause( 0, [ f( X, Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.43/1.07    , z( X, Y ) ), :=( Y, z( X, Y ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 4, [] )
% 0.43/1.07  , clause( 19, [] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  end.
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  Memory use:
% 0.43/1.07  
% 0.43/1.07  space for terms:        188
% 0.43/1.07  space for clauses:      390
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  clauses generated:      5
% 0.43/1.07  clauses kept:           5
% 0.43/1.07  clauses selected:       2
% 0.43/1.07  clauses deleted:        2
% 0.43/1.07  clauses inuse deleted:  0
% 0.43/1.07  
% 0.43/1.07  subsentry:          4
% 0.43/1.07  literals s-matched: 0
% 0.43/1.07  literals matched:   0
% 0.43/1.07  full subsumption:   0
% 0.43/1.07  
% 0.43/1.07  checksum:           -33387
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksem ended
%------------------------------------------------------------------------------