TSTP Solution File: SWV904-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n009.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 16:29:08 EDT 2022

% Result   : Unsatisfiable 0.70s 1.09s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Wed Jun 15 17:07:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.70/1.09  *** allocated 10000 integers for termspace/termends
% 0.70/1.09  *** allocated 10000 integers for clauses
% 0.70/1.09  *** allocated 10000 integers for justifications
% 0.70/1.09  Bliksem 1.12
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Automatic Strategy Selection
% 0.70/1.09  
% 0.70/1.09  Clauses:
% 0.70/1.09  [
% 0.70/1.09     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.70/1.09     ) ) ],
% 0.70/1.09     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.70/1.09     ) ) ],
% 0.70/1.09     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.70/1.09     ) ) ],
% 0.70/1.09     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.70/1.09     ) ) ],
% 0.70/1.09     [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), =( 'c_Com_Obody'( X ), 
% 0.70/1.09    'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 0.70/1.09     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.70/1.09     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 0.70/1.09     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.70/1.09     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.70/1.09     ],
% 0.70/1.09     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.70/1.09     [ =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'( 
% 0.70/1.09    'c_Com_Osko__Com__XWTs__elim__cases__7__1'( X ), 'tc_Com_Ocom' ) ), ~( 
% 0.70/1.09    'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.70/1.09     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.70/1.09    , T ) ],
% 0.70/1.09     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.70/1.09    , Z ) ],
% 0.70/1.09     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.70/1.09     ) ) ), =( X, Z ) ],
% 0.70/1.09     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.70/1.09     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.70/1.09     [ ~( =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'( Y, 'tc_Com_Ocom' )
% 0.70/1.09     ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ],
% 0.70/1.09     [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~( 
% 0.70/1.09    'c_Com_OWT'( X ) ) ],
% 0.70/1.09     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.70/1.09    ,
% 0.70/1.09     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 0.70/1.09    ,
% 0.70/1.09     [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1', 
% 0.70/1.09    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~( 
% 0.70/1.09    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.70/1.09     [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.70/1.09     [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~( 
% 0.70/1.09    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.70/1.09     [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.70/1.09     [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', 
% 0.70/1.09    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~( 
% 0.70/1.09    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.70/1.09     [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.70/1.09     [ 'c_Com_OWT__bodies' ],
% 0.70/1.09     [ 'c_Com_OWT'( 'v_c' ) ],
% 0.70/1.09     [ ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ]
% 0.70/1.09  ] .
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  percentage equality = 0.534884, percentage horn = 0.925926
% 0.70/1.09  This is a problem with some equality
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Options Used:
% 0.70/1.09  
% 0.70/1.09  useres =            1
% 0.70/1.09  useparamod =        1
% 0.70/1.09  useeqrefl =         1
% 0.70/1.09  useeqfact =         1
% 0.70/1.09  usefactor =         1
% 0.70/1.09  usesimpsplitting =  0
% 0.70/1.09  usesimpdemod =      5
% 0.70/1.09  usesimpres =        3
% 0.70/1.09  
% 0.70/1.09  resimpinuse      =  1000
% 0.70/1.09  resimpclauses =     20000
% 0.70/1.09  substype =          eqrewr
% 0.70/1.09  backwardsubs =      1
% 0.70/1.09  selectoldest =      5
% 0.70/1.09  
% 0.70/1.09  litorderings [0] =  split
% 0.70/1.09  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.70/1.09  
% 0.70/1.09  termordering =      kbo
% 0.70/1.09  
% 0.70/1.09  litapriori =        0
% 0.70/1.09  termapriori =       1
% 0.70/1.09  litaposteriori =    0
% 0.70/1.09  termaposteriori =   0
% 0.70/1.09  demodaposteriori =  0
% 0.70/1.09  ordereqreflfact =   0
% 0.70/1.09  
% 0.70/1.09  litselect =         negord
% 0.70/1.09  
% 0.70/1.09  maxweight =         15
% 0.70/1.09  maxdepth =          30000
% 0.70/1.09  maxlength =         115
% 0.70/1.09  maxnrvars =         195
% 0.70/1.09  excuselevel =       1
% 0.70/1.09  increasemaxweight = 1
% 0.70/1.09  
% 0.70/1.09  maxselected =       10000000
% 0.70/1.09  maxnrclauses =      10000000
% 0.70/1.09  
% 0.70/1.09  showgenerated =    0
% 0.70/1.09  showkept =         0
% 0.70/1.09  showselected =     0
% 0.70/1.09  showdeleted =      0
% 0.70/1.09  showresimp =       1
% 0.70/1.09  showstatus =       2000
% 0.70/1.09  
% 0.70/1.09  prologoutput =     1
% 0.70/1.09  nrgoals =          5000000
% 0.70/1.09  totalproof =       1
% 0.70/1.09  
% 0.70/1.09  Symbols occurring in the translation:
% 0.70/1.09  
% 0.70/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.70/1.09  .  [1, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.70/1.09  !  [4, 1]      (w:0, o:37, a:1, s:1, b:0), 
% 0.70/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.09  'c_Option_Ooption_ONone'  [40, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 0.70/1.09  'c_Option_Ooption_OSome'  [42, 2]      (w:1, o:73, a:1, s:1, b:0), 
% 0.70/1.09  'c_Com_Ocom_OBODY'  [46, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 0.70/1.09  'c_Com_OWT'  [47, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 0.70/1.09  'c_Com_Obody'  [48, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 0.70/1.09  'tc_Com_Ocom'  [49, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.70/1.09  'c_Com_Ocom_OSKIP'  [51, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.70/1.09  'c_Com_Ocom_OSemi'  [54, 2]      (w:1, o:74, a:1, s:1, b:0), 
% 0.70/1.09  'c_Com_Osko__Com__XWTs__elim__cases__7__1'  [57, 1]      (w:1, o:46, a:1
% 0.70/1.09    , s:1, b:0), 
% 0.70/1.09  'c_Com_OWT__bodies'  [62, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 0.70/1.09  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1'  [66, 0
% 0.70/1.09    ]      (w:1, o:30, a:1, s:1, b:0), 
% 0.70/1.09  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2'  [67, 0
% 0.70/1.09    ]      (w:1, o:31, a:1, s:1, b:0), 
% 0.70/1.09  'c_Hoare__Mirabelle_Ostate__not__singleton'  [68, 0]      (w:1, o:32, a:1
% 0.70/1.09    , s:1, b:0), 
% 0.70/1.09  'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'  [71, 1]      (w:1, o:47, a:1
% 0.70/1.09    , s:1, b:0), 
% 0.70/1.09  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1'  [72, 0]      (w:
% 0.70/1.09    1, o:34, a:1, s:1, b:0), 
% 0.70/1.09  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2'  [73, 0]      (w:
% 0.70/1.09    1, o:35, a:1, s:1, b:0), 
% 0.70/1.09  'v_c'  [74, 0]      (w:1, o:36, a:1, s:1, b:0).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Starting Search:
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Bliksems!, er is een bewijs:
% 0.70/1.09  % SZS status Unsatisfiable
% 0.70/1.09  % SZS output start Refutation
% 0.70/1.09  
% 0.70/1.09  clause( 19, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.70/1.09  .
% 0.70/1.09  clause( 22, [] )
% 0.70/1.09  .
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  % SZS output end Refutation
% 0.70/1.09  found a proof!
% 0.70/1.09  
% 0.70/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09  
% 0.70/1.09  initialclauses(
% 0.70/1.09  [ clause( 24, [ ~( =( 'c_Option_Ooption_ONone'( X ), 
% 0.70/1.09    'c_Option_Ooption_OSome'( Y, X ) ) ) ] )
% 0.70/1.09  , clause( 25, [ ~( =( 'c_Option_Ooption_ONone'( X ), 
% 0.70/1.09    'c_Option_Ooption_OSome'( Y, X ) ) ) ] )
% 0.70/1.09  , clause( 26, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 
% 0.70/1.09    'c_Option_Ooption_ONone'( Y ) ) ) ] )
% 0.70/1.09  , clause( 27, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 
% 0.70/1.09    'c_Option_Ooption_ONone'( Y ) ) ) ] )
% 0.70/1.09  , clause( 28, [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), =( 'c_Com_Obody'( X
% 0.70/1.09     ), 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ] )
% 0.70/1.09  , clause( 29, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ] )
% 0.70/1.09  , clause( 30, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) )
% 0.70/1.09     ) ] )
% 0.70/1.09  , clause( 31, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) )
% 0.70/1.09     ) ] )
% 0.70/1.09  , clause( 32, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) )
% 0.70/1.09    , =( X, Y ) ] )
% 0.70/1.09  , clause( 33, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ] )
% 0.70/1.09  , clause( 34, [ =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'( 
% 0.70/1.09    'c_Com_Osko__Com__XWTs__elim__cases__7__1'( X ), 'tc_Com_Ocom' ) ), ~( 
% 0.70/1.09    'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ) ) ] )
% 0.70/1.09  , clause( 35, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T
% 0.70/1.09     ) ) ), =( Y, T ) ] )
% 0.70/1.09  , clause( 36, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T
% 0.70/1.09     ) ) ), =( X, Z ) ] )
% 0.70/1.09  , clause( 37, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 
% 0.70/1.09    'c_Option_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 0.70/1.09  , clause( 38, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ]
% 0.70/1.09     )
% 0.70/1.09  , clause( 39, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.70/1.09     )
% 0.70/1.09  , clause( 40, [ ~( =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'( Y, 
% 0.70/1.09    'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ] )
% 0.70/1.09  , clause( 41, [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( 
% 0.70/1.09    Y ) ), ~( 'c_Com_OWT'( X ) ) ] )
% 0.70/1.09  , clause( 42, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y
% 0.70/1.09     ) ) ) ] )
% 0.70/1.09  , clause( 43, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X
% 0.70/1.09     ) ) ) ] )
% 0.70/1.09  , clause( 44, [ ~( =( 
% 0.70/1.09    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1', 
% 0.70/1.09    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~( 
% 0.70/1.09    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.70/1.09  , clause( 45, [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ] )
% 0.70/1.09  , clause( 46, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X
% 0.70/1.09     ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.70/1.09  , clause( 47, [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ] )
% 0.70/1.09  , clause( 48, [ ~( =( 
% 0.70/1.09    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', 
% 0.70/1.09    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~( 
% 0.70/1.09    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.70/1.09  , clause( 49, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.70/1.09  , clause( 50, [ 'c_Com_OWT__bodies' ] )
% 0.70/1.09  , clause( 51, [ 'c_Com_OWT'( 'v_c' ) ] )
% 0.70/1.09  , clause( 52, [ ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.70/1.09  ] ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  subsumption(
% 0.70/1.09  clause( 19, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.70/1.09  , clause( 49, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.70/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  resolution(
% 0.70/1.09  clause( 107, [] )
% 0.70/1.09  , clause( 52, [ ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.70/1.09  , 0, clause( 19, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.70/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  subsumption(
% 0.70/1.09  clause( 22, [] )
% 0.70/1.09  , clause( 107, [] )
% 0.70/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  end.
% 0.70/1.09  
% 0.70/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09  
% 0.70/1.09  Memory use:
% 0.70/1.09  
% 0.70/1.09  space for terms:        687
% 0.70/1.09  space for clauses:      1431
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  clauses generated:      29
% 0.70/1.09  clauses kept:           23
% 0.70/1.09  clauses selected:       0
% 0.70/1.09  clauses deleted:        0
% 0.70/1.09  clauses inuse deleted:  0
% 0.70/1.09  
% 0.70/1.09  subsentry:          246
% 0.70/1.09  literals s-matched: 154
% 0.70/1.09  literals matched:   154
% 0.70/1.09  full subsumption:   2
% 0.70/1.09  
% 0.70/1.09  checksum:           1120679410
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Bliksem ended
%------------------------------------------------------------------------------