TSTP Solution File: SWV817-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV817-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Wed Jul 20 16:28:39 EDT 2022

% Result   : Unsatisfiable 0.41s 1.07s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV817-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n007.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 : Wed Jun 15 13:04:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/1.07  *** allocated 10000 integers for termspace/termends
% 0.41/1.07  *** allocated 10000 integers for clauses
% 0.41/1.07  *** allocated 10000 integers for justifications
% 0.41/1.07  Bliksem 1.12
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  Automatic Strategy Selection
% 0.41/1.07  
% 0.41/1.07  Clauses:
% 0.41/1.07  [
% 0.41/1.07     [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 0.41/1.07     [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 0.41/1.07     [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.41/1.07     [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.41/1.07     [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.41/1.07     [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.41/1.07     [ =( X, 'v_x' ) ]
% 0.41/1.07  ] .
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  percentage equality = 0.555556, percentage horn = 0.833333
% 0.41/1.07  This is a problem with some equality
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  Options Used:
% 0.41/1.07  
% 0.41/1.07  useres =            1
% 0.41/1.07  useparamod =        1
% 0.41/1.07  useeqrefl =         1
% 0.41/1.07  useeqfact =         1
% 0.41/1.07  usefactor =         1
% 0.41/1.07  usesimpsplitting =  0
% 0.41/1.07  usesimpdemod =      5
% 0.41/1.07  usesimpres =        3
% 0.41/1.07  
% 0.41/1.07  resimpinuse      =  1000
% 0.41/1.07  resimpclauses =     20000
% 0.41/1.07  substype =          eqrewr
% 0.41/1.07  backwardsubs =      1
% 0.41/1.07  selectoldest =      5
% 0.41/1.07  
% 0.41/1.07  litorderings [0] =  split
% 0.41/1.07  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.41/1.07  
% 0.41/1.07  termordering =      kbo
% 0.41/1.07  
% 0.41/1.07  litapriori =        0
% 0.41/1.07  termapriori =       1
% 0.41/1.07  litaposteriori =    0
% 0.41/1.07  termaposteriori =   0
% 0.41/1.07  demodaposteriori =  0
% 0.41/1.07  ordereqreflfact =   0
% 0.41/1.07  
% 0.41/1.07  litselect =         negord
% 0.41/1.07  
% 0.41/1.07  maxweight =         15
% 0.41/1.07  maxdepth =          30000
% 0.41/1.07  maxlength =         115
% 0.41/1.07  maxnrvars =         195
% 0.41/1.07  excuselevel =       1
% 0.41/1.07  increasemaxweight = 1
% 0.41/1.07  
% 0.41/1.07  maxselected =       10000000
% 0.41/1.07  maxnrclauses =      10000000
% 0.41/1.07  
% 0.41/1.07  showgenerated =    0
% 0.41/1.07  showkept =         0
% 0.41/1.07  showselected =     0
% 0.41/1.07  showdeleted =      0
% 0.41/1.07  showresimp =       1
% 0.41/1.07  showstatus =       2000
% 0.41/1.07  
% 0.41/1.07  prologoutput =     1
% 0.41/1.07  nrgoals =          5000000
% 0.41/1.07  totalproof =       1
% 0.41/1.07  
% 0.41/1.07  Symbols occurring in the translation:
% 0.41/1.07  
% 0.41/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.41/1.07  .  [1, 2]      (w:1, o:25, a:1, s:1, b:0), 
% 0.41/1.07  !  [4, 1]      (w:0, o:20, a:1, s:1, b:0), 
% 0.41/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.07  'c_Fun_Oid'  [41, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.41/1.07  'v_x'  [42, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.41/1.07  't_a'  [43, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.41/1.07  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1'  [44, 0
% 0.41/1.07    ]      (w:1, o:13, a:1, s:1, b:0), 
% 0.41/1.07  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2'  [45, 0
% 0.41/1.07    ]      (w:1, o:14, a:1, s:1, b:0), 
% 0.41/1.07  'c_Hoare__Mirabelle_Ostate__not__singleton'  [46, 0]      (w:1, o:15, a:1
% 0.41/1.07    , s:1, b:0), 
% 0.41/1.07  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1'  [48, 0]      (w:
% 0.41/1.07    1, o:17, a:1, s:1, b:0), 
% 0.41/1.07  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2'  [49, 0]      (w:
% 0.41/1.07    1, o:18, a:1, s:1, b:0).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  Starting Search:
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  Bliksems!, er is een bewijs:
% 0.41/1.07  % SZS status Unsatisfiable
% 0.41/1.07  % SZS output start Refutation
% 0.41/1.07  
% 0.41/1.07  clause( 3, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.41/1.07  .
% 0.41/1.07  clause( 4, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.41/1.07  .
% 0.41/1.07  clause( 5, [ =( X, 'v_x' ) ] )
% 0.41/1.07  .
% 0.41/1.07  clause( 6, [ =( Y, X ) ] )
% 0.41/1.07  .
% 0.41/1.07  clause( 7, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ) ] )
% 0.41/1.07  .
% 0.41/1.07  clause( 8, [ ~( =( X, 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ) ] )
% 0.41/1.07  .
% 0.41/1.07  clause( 9, [] )
% 0.41/1.07  .
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  % SZS output end Refutation
% 0.41/1.07  found a proof!
% 0.41/1.07  
% 0.41/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.07  
% 0.41/1.07  initialclauses(
% 0.41/1.07  [ clause( 11, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 0.41/1.07  , clause( 12, [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ] )
% 0.41/1.07  , clause( 13, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.41/1.07  , clause( 14, [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ] )
% 0.41/1.07  , clause( 15, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.41/1.07  , clause( 16, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.41/1.07  , clause( 17, [ =( X, 'v_x' ) ] )
% 0.41/1.07  ] ).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  eqswap(
% 0.41/1.07  clause( 21, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.41/1.07  , clause( 15, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.41/1.07  , 0, substitution( 0, [] )).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  subsumption(
% 0.41/1.07  clause( 3, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.41/1.07  , clause( 21, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.41/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.41/1.07     ).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  subsumption(
% 0.41/1.07  clause( 4, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.41/1.07  , clause( 16, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.41/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  subsumption(
% 0.41/1.07  clause( 5, [ =( X, 'v_x' ) ] )
% 0.41/1.07  , clause( 17, [ =( X, 'v_x' ) ] )
% 0.41/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  eqswap(
% 0.41/1.07  clause( 31, [ =( 'v_x', X ) ] )
% 0.41/1.07  , clause( 5, [ =( X, 'v_x' ) ] )
% 0.41/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  eqswap(
% 0.41/1.07  clause( 32, [ =( 'v_x', X ) ] )
% 0.41/1.07  , clause( 5, [ =( X, 'v_x' ) ] )
% 0.41/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  paramod(
% 0.41/1.07  clause( 33, [ =( Y, X ) ] )
% 0.41/1.07  , clause( 31, [ =( 'v_x', X ) ] )
% 0.41/1.07  , 0, clause( 32, [ =( 'v_x', X ) ] )
% 0.41/1.07  , 0, 1, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X )] )
% 0.41/1.07    ).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  subsumption(
% 0.41/1.07  clause( 6, [ =( Y, X ) ] )
% 0.41/1.07  , clause( 33, [ =( Y, X ) ] )
% 0.41/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.07     )] ) ).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  resolution(
% 0.41/1.07  clause( 35, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ) ] )
% 0.41/1.07  , clause( 3, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ), ~( 
% 0.41/1.07    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.41/1.07  , 1, clause( 4, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.41/1.07  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  subsumption(
% 0.41/1.07  clause( 7, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ) ] )
% 0.41/1.07  , clause( 35, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ) ] )
% 0.41/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  eqswap(
% 0.41/1.07  clause( 37, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ) ] )
% 0.41/1.07  , clause( 7, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ) ] )
% 0.41/1.07  , 0, substitution( 0, [] )).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  paramod(
% 0.41/1.07  clause( 39, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', X ) ) ] )
% 0.41/1.07  , clause( 6, [ =( Y, X ) ] )
% 0.41/1.07  , 0, clause( 37, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ) ] )
% 0.41/1.07  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' )] ), 
% 0.41/1.07    substitution( 1, [] )).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  paramod(
% 0.41/1.07  clause( 40, [ ~( =( Y, X ) ) ] )
% 0.41/1.07  , clause( 6, [ =( Y, X ) ] )
% 0.41/1.07  , 0, clause( 39, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', X ) ) ] )
% 0.41/1.07  , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' )] ), 
% 0.41/1.07    substitution( 1, [ :=( X, X )] )).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  subsumption(
% 0.41/1.07  clause( 8, [ ~( =( X, 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ) ] )
% 0.41/1.07  , clause( 40, [ ~( =( Y, X ) ) ] )
% 0.41/1.07  , substitution( 0, [ :=( X, 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ), :=( Y, X )] )
% 0.41/1.07    , permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  eqswap(
% 0.41/1.07  clause( 41, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', X ) ) ] )
% 0.41/1.07  , clause( 8, [ ~( =( X, 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' ) ) ] )
% 0.41/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  eqrefl(
% 0.41/1.07  clause( 42, [] )
% 0.41/1.07  , clause( 41, [ ~( =( 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', X ) ) ] )
% 0.41/1.07  , 0, substitution( 0, [ :=( X, 
% 0.41/1.07    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' )] )).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  subsumption(
% 0.41/1.07  clause( 9, [] )
% 0.41/1.07  , clause( 42, [] )
% 0.41/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  end.
% 0.41/1.07  
% 0.41/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.07  
% 0.41/1.07  Memory use:
% 0.41/1.07  
% 0.41/1.07  space for terms:        137
% 0.41/1.07  space for clauses:      523
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  clauses generated:      18
% 0.41/1.07  clauses kept:           10
% 0.41/1.07  clauses selected:       4
% 0.41/1.07  clauses deleted:        3
% 0.41/1.07  clauses inuse deleted:  0
% 0.41/1.07  
% 0.41/1.07  subsentry:          123
% 0.41/1.07  literals s-matched: 66
% 0.41/1.07  literals matched:   66
% 0.41/1.07  full subsumption:   0
% 0.41/1.07  
% 0.41/1.07  checksum:           -39895712
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  Bliksem ended
%------------------------------------------------------------------------------