TSTP Solution File: SYN002-1.007.008 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.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 02:46:33 EDT 2022

% Result   : Unsatisfiable 0.71s 1.09s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Mon Jul 11 23:44:13 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.71/1.09  *** allocated 10000 integers for termspace/termends
% 0.71/1.09  *** allocated 10000 integers for clauses
% 0.71/1.09  *** allocated 10000 integers for justifications
% 0.71/1.09  Bliksem 1.12
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Automatic Strategy Selection
% 0.71/1.09  
% 0.71/1.09  Clauses:
% 0.71/1.09  [
% 0.71/1.09     [ p( X ), p( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ],
% 0.71/1.09     [ ~( p( X ) ), ~( p( f( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ) ) ]
% 0.71/1.09  ] .
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  percentage equality = 0.000000, percentage horn = 0.500000
% 0.71/1.09  This a non-horn, non-equality problem
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Options Used:
% 0.71/1.09  
% 0.71/1.09  useres =            1
% 0.71/1.09  useparamod =        0
% 0.71/1.09  useeqrefl =         0
% 0.71/1.09  useeqfact =         0
% 0.71/1.09  usefactor =         1
% 0.71/1.09  usesimpsplitting =  0
% 0.71/1.09  usesimpdemod =      0
% 0.71/1.09  usesimpres =        3
% 0.71/1.09  
% 0.71/1.09  resimpinuse      =  1000
% 0.71/1.09  resimpclauses =     20000
% 0.71/1.09  substype =          standard
% 0.71/1.09  backwardsubs =      1
% 0.71/1.09  selectoldest =      5
% 0.71/1.09  
% 0.71/1.09  litorderings [0] =  split
% 0.71/1.09  litorderings [1] =  liftord
% 0.71/1.09  
% 0.71/1.09  termordering =      none
% 0.71/1.09  
% 0.71/1.09  litapriori =        1
% 0.71/1.09  termapriori =       0
% 0.71/1.09  litaposteriori =    0
% 0.71/1.09  termaposteriori =   0
% 0.71/1.09  demodaposteriori =  0
% 0.71/1.09  ordereqreflfact =   0
% 0.71/1.09  
% 0.71/1.09  litselect =         none
% 0.71/1.09  
% 0.71/1.09  maxweight =         15
% 0.71/1.09  maxdepth =          30000
% 0.71/1.09  maxlength =         115
% 0.71/1.09  maxnrvars =         195
% 0.71/1.09  excuselevel =       1
% 0.71/1.09  increasemaxweight = 1
% 0.71/1.09  
% 0.71/1.09  maxselected =       10000000
% 0.71/1.09  maxnrclauses =      10000000
% 0.71/1.09  
% 0.71/1.09  showgenerated =    0
% 0.71/1.09  showkept =         0
% 0.71/1.09  showselected =     0
% 0.71/1.09  showdeleted =      0
% 0.71/1.09  showresimp =       1
% 0.71/1.09  showstatus =       2000
% 0.71/1.09  
% 0.71/1.09  prologoutput =     1
% 0.71/1.09  nrgoals =          5000000
% 0.71/1.09  totalproof =       1
% 0.71/1.09  
% 0.71/1.09  Symbols occurring in the translation:
% 0.71/1.09  
% 0.71/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.09  .  [1, 2]      (w:1, o:17, a:1, s:1, b:0), 
% 0.71/1.09  !  [4, 1]      (w:0, o:10, a:1, s:1, b:0), 
% 0.71/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  p  [40, 1]      (w:1, o:15, a:1, s:1, b:0), 
% 0.71/1.09  f  [41, 1]      (w:1, o:16, a:1, s:1, b:0).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Starting Search:
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksems!, er is een bewijs:
% 0.71/1.09  % SZS status Unsatisfiable
% 0.71/1.09  % SZS output start Refutation
% 0.71/1.09  
% 0.71/1.09  clause( 0, [ p( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ), p( X ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 1, [ ~( p( f( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ) ), ~( p( X )
% 0.71/1.09     ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 2, [ p( f( X ) ), ~( p( X ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 6, [ p( f( f( X ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 12, [ p( f( f( f( X ) ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 13, [ ~( p( X ) ), ~( p( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 17, [ ~( p( X ) ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 18, [ p( X ) ] )
% 0.71/1.09  .
% 0.71/1.09  clause( 19, [] )
% 0.71/1.09  .
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  % SZS output end Refutation
% 0.71/1.09  found a proof!
% 0.71/1.09  
% 0.71/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09  
% 0.71/1.09  initialclauses(
% 0.71/1.09  [ clause( 21, [ p( X ), p( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ] )
% 0.71/1.09  , clause( 22, [ ~( p( X ) ), ~( p( f( f( f( f( f( f( f( f( X ) ) ) ) ) ) )
% 0.71/1.09     ) ) ) ] )
% 0.71/1.09  ] ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 0, [ p( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ), p( X ) ] )
% 0.71/1.09  , clause( 21, [ p( X ), p( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.09    0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 1, [ ~( p( f( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ) ), ~( p( X )
% 0.71/1.09     ) ] )
% 0.71/1.09  , clause( 22, [ ~( p( X ) ), ~( p( f( f( f( f( f( f( f( f( X ) ) ) ) ) ) )
% 0.71/1.09     ) ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.09    0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 23, [ ~( p( X ) ), p( f( X ) ) ] )
% 0.71/1.09  , clause( 1, [ ~( p( f( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ) ), ~( p( X
% 0.71/1.09     ) ) ] )
% 0.71/1.09  , 0, clause( 0, [ p( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ), p( X ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, f( X ) )] )
% 0.71/1.09    ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 2, [ p( f( X ) ), ~( p( X ) ) ] )
% 0.71/1.09  , clause( 23, [ ~( p( X ) ), p( f( X ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.09    0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 27, [ p( f( f( X ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , clause( 2, [ p( f( X ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 1, clause( 2, [ p( f( X ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, f( X ) )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09    ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 6, [ p( f( f( X ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , clause( 27, [ p( f( f( X ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.71/1.09    1 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 28, [ p( f( f( f( X ) ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , clause( 6, [ p( f( f( X ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 1, clause( 2, [ p( f( X ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, f( X ) )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09    ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 12, [ p( f( f( f( X ) ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , clause( 28, [ p( f( f( f( X ) ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.71/1.09    1 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 29, [ ~( p( X ) ), ~( p( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ] )
% 0.71/1.09  , clause( 1, [ ~( p( f( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ) ), ~( p( X
% 0.71/1.09     ) ) ] )
% 0.71/1.09  , 0, clause( 6, [ p( f( f( X ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, f( f( f( f( 
% 0.71/1.09    f( f( X ) ) ) ) ) ) )] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 13, [ ~( p( X ) ), ~( p( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ] )
% 0.71/1.09  , clause( 29, [ ~( p( X ) ), ~( p( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.71/1.09    1 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 31, [ p( f( f( f( f( f( f( X ) ) ) ) ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , clause( 12, [ p( f( f( f( X ) ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 1, clause( 12, [ p( f( f( f( X ) ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, f( f( f( X ) ) ) )] ), substitution( 1, [ 
% 0.71/1.09    :=( X, X )] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 33, [ ~( p( X ) ), ~( p( X ) ) ] )
% 0.71/1.09  , clause( 13, [ ~( p( X ) ), ~( p( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ] )
% 0.71/1.09  , 1, clause( 31, [ p( f( f( f( f( f( f( X ) ) ) ) ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09    ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  factor(
% 0.71/1.09  clause( 34, [ ~( p( X ) ) ] )
% 0.71/1.09  , clause( 33, [ ~( p( X ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 17, [ ~( p( X ) ) ] )
% 0.71/1.09  , clause( 34, [ ~( p( X ) ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 35, [ p( f( f( f( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ) ) ), p( 
% 0.71/1.09    X ) ] )
% 0.71/1.09  , clause( 12, [ p( f( f( f( X ) ) ) ), ~( p( X ) ) ] )
% 0.71/1.09  , 1, clause( 0, [ p( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ), p( X ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, f( f( f( f( f( f( f( X ) ) ) ) ) ) ) )] ), 
% 0.71/1.09    substitution( 1, [ :=( X, X )] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 37, [ p( X ) ] )
% 0.71/1.09  , clause( 17, [ ~( p( X ) ) ] )
% 0.71/1.09  , 0, clause( 35, [ p( f( f( f( f( f( f( f( f( f( f( X ) ) ) ) ) ) ) ) ) ) )
% 0.71/1.09    , p( X ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, f( f( f( f( f( f( f( f( f( f( X ) ) ) ) ) )
% 0.71/1.09     ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 18, [ p( X ) ] )
% 0.71/1.09  , clause( 37, [ p( X ) ] )
% 0.71/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  resolution(
% 0.71/1.09  clause( 38, [] )
% 0.71/1.09  , clause( 17, [ ~( p( X ) ) ] )
% 0.71/1.09  , 0, clause( 18, [ p( X ) ] )
% 0.71/1.09  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09    ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  subsumption(
% 0.71/1.09  clause( 19, [] )
% 0.71/1.09  , clause( 38, [] )
% 0.71/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  end.
% 0.71/1.09  
% 0.71/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09  
% 0.71/1.09  Memory use:
% 0.71/1.09  
% 0.71/1.09  space for terms:        295
% 0.71/1.09  space for clauses:      1195
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  clauses generated:      31
% 0.71/1.09  clauses kept:           20
% 0.71/1.09  clauses selected:       5
% 0.71/1.09  clauses deleted:        2
% 0.71/1.09  clauses inuse deleted:  0
% 0.71/1.09  
% 0.71/1.09  subsentry:          61
% 0.71/1.09  literals s-matched: 52
% 0.71/1.09  literals matched:   52
% 0.71/1.09  full subsumption:   13
% 0.71/1.09  
% 0.71/1.09  checksum:           -1526861709
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksem ended
%------------------------------------------------------------------------------