TSTP Solution File: HEN005-5 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : HEN005-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n015.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 : Sat Jul 16 12:47:03 EDT 2022

% Result   : Unsatisfiable 0.81s 1.30s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : HEN005-5 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n015.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 : Fri Jul  1 13:24:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.81/1.30  *** allocated 10000 integers for termspace/termends
% 0.81/1.30  *** allocated 10000 integers for clauses
% 0.81/1.30  *** allocated 10000 integers for justifications
% 0.81/1.30  Bliksem 1.12
% 0.81/1.30  
% 0.81/1.30  
% 0.81/1.30  Automatic Strategy Selection
% 0.81/1.30  
% 0.81/1.30  Clauses:
% 0.81/1.30  [
% 0.81/1.30     [ =( divide( divide( X, Y ), X ), zero ) ],
% 0.81/1.30     [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide( X
% 0.81/1.30    , Z ), Y ) ), zero ) ],
% 0.81/1.30     [ =( divide( zero, X ), zero ) ],
% 0.81/1.30     [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero ) ), =( X, 
% 0.81/1.30    Y ) ],
% 0.81/1.30     [ =( divide( X, identity ), zero ) ],
% 0.81/1.30     [ =( divide( a, b ), zero ) ],
% 0.81/1.30     [ =( divide( b, c ), zero ) ],
% 0.81/1.30     [ ~( =( divide( a, c ), zero ) ) ]
% 0.81/1.30  ] .
% 0.81/1.30  
% 0.81/1.30  
% 0.81/1.30  percentage equality = 1.000000, percentage horn = 1.000000
% 0.81/1.30  This is a pure equality problem
% 0.81/1.30  
% 0.81/1.30  
% 0.81/1.30  
% 0.81/1.30  Options Used:
% 0.81/1.30  
% 0.81/1.30  useres =            1
% 0.81/1.30  useparamod =        1
% 0.81/1.30  useeqrefl =         1
% 0.81/1.30  useeqfact =         1
% 0.81/1.30  usefactor =         1
% 0.81/1.30  usesimpsplitting =  0
% 0.81/1.30  usesimpdemod =      5
% 0.81/1.30  usesimpres =        3
% 0.81/1.30  
% 0.81/1.30  resimpinuse      =  1000
% 0.81/1.30  resimpclauses =     20000
% 0.81/1.30  substype =          eqrewr
% 0.81/1.30  backwardsubs =      1
% 0.81/1.30  selectoldest =      5
% 0.81/1.30  
% 0.81/1.30  litorderings [0] =  split
% 0.81/1.30  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.81/1.30  
% 0.81/1.30  termordering =      kbo
% 0.81/1.30  
% 0.81/1.30  litapriori =        0
% 0.81/1.30  termapriori =       1
% 0.81/1.30  litaposteriori =    0
% 0.81/1.30  termaposteriori =   0
% 0.81/1.30  demodaposteriori =  0
% 0.81/1.30  ordereqreflfact =   0
% 0.81/1.30  
% 0.81/1.30  litselect =         negord
% 0.81/1.30  
% 0.81/1.30  maxweight =         15
% 0.81/1.30  maxdepth =          30000
% 0.81/1.30  maxlength =         115
% 0.81/1.30  maxnrvars =         195
% 0.81/1.30  excuselevel =       1
% 0.81/1.30  increasemaxweight = 1
% 0.81/1.30  
% 0.81/1.30  maxselected =       10000000
% 0.81/1.30  maxnrclauses =      10000000
% 0.81/1.30  
% 0.81/1.30  showgenerated =    0
% 0.81/1.30  showkept =         0
% 0.81/1.30  showselected =     0
% 0.81/1.30  showdeleted =      0
% 0.81/1.30  showresimp =       1
% 0.81/1.30  showstatus =       2000
% 0.81/1.30  
% 0.81/1.30  prologoutput =     1
% 0.81/1.30  nrgoals =          5000000
% 0.81/1.30  totalproof =       1
% 0.81/1.30  
% 0.81/1.30  Symbols occurring in the translation:
% 0.81/1.30  
% 0.81/1.30  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.81/1.30  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.81/1.30  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 0.81/1.30  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.81/1.30  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.81/1.30  divide  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.81/1.30  zero  [42, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.81/1.30  identity  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.81/1.30  a  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.81/1.30  b  [46, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.81/1.30  c  [47, 0]      (w:1, o:16, a:1, s:1, b:0).
% 0.81/1.30  
% 0.81/1.30  
% 0.81/1.30  Starting Search:
% 0.81/1.30  
% 0.81/1.30  
% 0.81/1.30  Bliksems!, er is een bewijs:
% 0.81/1.30  % SZS status Unsatisfiable
% 0.81/1.30  % SZS output start Refutation
% 0.81/1.30  
% 0.81/1.30  clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 0.81/1.30    divide( X, Z ), Y ) ), zero ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 2, [ =( divide( zero, X ), zero ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 3, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero ) )
% 0.81/1.30    , =( X, Y ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 5, [ =( divide( a, b ), zero ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 6, [ =( divide( b, c ), zero ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 7, [ ~( =( divide( a, c ), zero ) ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 19, [ ~( =( X, zero ) ), ~( =( divide( divide( a, c ), X ), zero )
% 0.81/1.30     ), ~( =( divide( X, divide( a, c ) ), zero ) ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 22, [ =( divide( X, Y ), X ), ~( =( divide( X, zero ), zero ) ) ]
% 0.81/1.30     )
% 0.81/1.30  .
% 0.81/1.30  clause( 24, [ ~( =( divide( divide( a, c ), zero ), zero ) ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 26, [ ~( =( divide( X, zero ), zero ) ), ~( =( divide( divide( a, c
% 0.81/1.30     ), X ), zero ) ), ~( =( X, zero ) ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 38, [ ~( =( divide( divide( divide( X, Y ), Z ), divide( divide( X
% 0.81/1.30    , Z ), divide( Y, Z ) ) ), zero ) ), =( divide( divide( X, Z ), divide( Y
% 0.81/1.30    , Z ) ), divide( divide( X, Y ), Z ) ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 470, [ =( divide( divide( a, X ), divide( b, X ) ), zero ) ] )
% 0.81/1.30  .
% 0.81/1.30  clause( 478, [] )
% 0.81/1.30  .
% 0.81/1.30  
% 0.81/1.30  
% 0.81/1.30  % SZS output end Refutation
% 0.81/1.30  found a proof!
% 0.81/1.30  
% 0.81/1.30  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.30  
% 0.81/1.30  initialclauses(
% 0.81/1.30  [ clause( 480, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.81/1.30  , clause( 481, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), 
% 0.81/1.30    divide( divide( X, Z ), Y ) ), zero ) ] )
% 0.81/1.30  , clause( 482, [ =( divide( zero, X ), zero ) ] )
% 0.81/1.30  , clause( 483, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero
% 0.81/1.30     ) ), =( X, Y ) ] )
% 0.81/1.30  , clause( 484, [ =( divide( X, identity ), zero ) ] )
% 0.81/1.30  , clause( 485, [ =( divide( a, b ), zero ) ] )
% 0.81/1.30  , clause( 486, [ =( divide( b, c ), zero ) ] )
% 0.81/1.30  , clause( 487, [ ~( =( divide( a, c ), zero ) ) ] )
% 0.81/1.30  ] ).
% 0.81/1.30  
% 0.81/1.30  
% 0.81/1.30  
% 0.81/1.30  subsumption(
% 0.81/1.30  claCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------