TSTP Solution File: SYN055-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN055-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 02:47:10 EDT 2022

% Result   : Unsatisfiable 0.68s 1.09s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN055-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n029.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 : Tue Jul 12 08:33:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.68/1.09  *** allocated 10000 integers for termspace/termends
% 0.68/1.09  *** allocated 10000 integers for clauses
% 0.68/1.09  *** allocated 10000 integers for justifications
% 0.68/1.09  Bliksem 1.12
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Automatic Strategy Selection
% 0.68/1.09  
% 0.68/1.09  Clauses:
% 0.68/1.09  [
% 0.68/1.09     [ 'big_p'( a ) ],
% 0.68/1.09     [ ~( 'big_f'( X ) ), ~( 'big_g'( X ) ), ~( 'big_r'( X ) ) ],
% 0.68/1.09     [ ~( 'big_p'( X ) ), 'big_f'( X ) ],
% 0.68/1.09     [ ~( 'big_p'( X ) ), 'big_g'( X ) ],
% 0.68/1.09     [ ~( 'big_p'( X ) ), 'big_q'( X ), 'big_p'( b ) ],
% 0.68/1.09     [ ~( 'big_p'( X ) ), 'big_q'( X ), 'big_r'( b ) ],
% 0.68/1.09     [ ~( 'big_q'( X ) ), ~( 'big_p'( X ) ) ]
% 0.68/1.09  ] .
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  percentage equality = 0.000000, percentage horn = 0.714286
% 0.68/1.09  This a non-horn, non-equality problem
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Options Used:
% 0.68/1.09  
% 0.68/1.09  useres =            1
% 0.68/1.09  useparamod =        0
% 0.68/1.09  useeqrefl =         0
% 0.68/1.09  useeqfact =         0
% 0.68/1.09  usefactor =         1
% 0.68/1.09  usesimpsplitting =  0
% 0.68/1.09  usesimpdemod =      0
% 0.68/1.09  usesimpres =        3
% 0.68/1.09  
% 0.68/1.09  resimpinuse      =  1000
% 0.68/1.09  resimpclauses =     20000
% 0.68/1.09  substype =          standard
% 0.68/1.09  backwardsubs =      1
% 0.68/1.09  selectoldest =      5
% 0.68/1.09  
% 0.68/1.09  litorderings [0] =  split
% 0.68/1.09  litorderings [1] =  liftord
% 0.68/1.09  
% 0.68/1.09  termordering =      none
% 0.68/1.09  
% 0.68/1.09  litapriori =        1
% 0.68/1.09  termapriori =       0
% 0.68/1.09  litaposteriori =    0
% 0.68/1.09  termaposteriori =   0
% 0.68/1.09  demodaposteriori =  0
% 0.68/1.09  ordereqreflfact =   0
% 0.68/1.09  
% 0.68/1.09  litselect =         none
% 0.68/1.09  
% 0.68/1.09  maxweight =         15
% 0.68/1.09  maxdepth =          30000
% 0.68/1.09  maxlength =         115
% 0.68/1.09  maxnrvars =         195
% 0.68/1.09  excuselevel =       1
% 0.68/1.09  increasemaxweight = 1
% 0.68/1.09  
% 0.68/1.09  maxselected =       10000000
% 0.68/1.09  maxnrclauses =      10000000
% 0.68/1.09  
% 0.68/1.09  showgenerated =    0
% 0.68/1.09  showkept =         0
% 0.68/1.09  showselected =     0
% 0.68/1.09  showdeleted =      0
% 0.68/1.09  showresimp =       1
% 0.68/1.09  showstatus =       2000
% 0.68/1.09  
% 0.68/1.09  prologoutput =     1
% 0.68/1.09  nrgoals =          5000000
% 0.68/1.09  totalproof =       1
% 0.68/1.09  
% 0.68/1.09  Symbols occurring in the translation:
% 0.68/1.09  
% 0.68/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.68/1.09  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.68/1.09  !  [4, 1]      (w:0, o:12, a:1, s:1, b:0), 
% 0.68/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.09  a  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.68/1.09  'big_p'  [40, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.68/1.09  'big_f'  [42, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.68/1.09  'big_g'  [43, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.68/1.09  'big_r'  [44, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.68/1.09  'big_q'  [45, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.68/1.09  b  [46, 0]      (w:1, o:11, a:1, s:1, b:0).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Starting Search:
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Bliksems!, er is een bewijs:
% 0.68/1.09  % SZS status Unsatisfiable
% 0.68/1.09  % SZS output start Refutation
% 0.68/1.09  
% 0.68/1.09  clause( 0, [ 'big_p'( a ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 1, [ ~( 'big_f'( X ) ), ~( 'big_g'( X ) ), ~( 'big_r'( X ) ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 2, [ ~( 'big_p'( X ) ), 'big_f'( X ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 3, [ ~( 'big_p'( X ) ), 'big_g'( X ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 4, [ ~( 'big_p'( X ) ), 'big_p'( b ), 'big_q'( X ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 5, [ ~( 'big_p'( X ) ), 'big_q'( X ), 'big_r'( b ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 6, [ ~( 'big_p'( X ) ), ~( 'big_q'( X ) ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 7, [ ~( 'big_p'( X ) ), 'big_r'( b ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 8, [ ~( 'big_p'( X ) ), ~( 'big_f'( b ) ), ~( 'big_g'( b ) ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 9, [ ~( 'big_p'( b ) ), ~( 'big_p'( X ) ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 10, [ ~( 'big_p'( b ) ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 11, [ ~( 'big_p'( X ) ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 12, [] )
% 0.68/1.09  .
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  % SZS output end Refutation
% 0.68/1.09  found a proof!
% 0.68/1.09  
% 0.68/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09  
% 0.68/1.09  initialclauses(
% 0.68/1.09  [ clause( 14, [ 'big_p'( a ) ] )
% 0.68/1.09  , clause( 15, [ ~( 'big_f'( X ) ), ~( 'big_g'( X ) ), ~( 'big_r'( X ) ) ]
% 0.68/1.09     )
% 0.68/1.09  , clause( 16, [ ~( 'big_p'( X ) ), 'big_f'( X ) ] )
% 0.68/1.09  , clause( 17, [ ~( 'big_p'( X ) ), 'big_g'( X ) ] )
% 0.68/1.09  , clause( 18, [ ~( 'big_p'( X ) ), 'big_q'( X ), 'big_p'( b ) ] )
% 0.68/1.09  , clause( 19, [ ~( 'big_p'( X ) ), 'big_q'( X ), 'big_r'( b ) ] )
% 0.68/1.09  , clause( 20, [ ~( 'big_q'( X ) ), ~( 'big_p'( X ) ) ] )
% 0.68/1.09  ] ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 0, [ 'big_p'( a ) ] )
% 0.68/1.09  , clause( 14, [ 'big_p'( a ) ] )
% 0.68/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 1, [ ~( 'big_f'( X ) ), ~( 'big_g'( X ) ), ~( 'big_r'( X ) ) ] )
% 0.68/1.09  , clause( 15, [ ~( 'big_f'( X ) ), ~( 'big_g'( X ) ), ~( 'big_r'( X ) ) ]
% 0.68/1.09     )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.09    1 ), ==>( 2, 2 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 2, [ ~( 'big_p'( X ) ), 'big_f'( X ) ] )
% 0.68/1.09  , clause( 16, [ ~( 'big_p'( X ) ), 'big_f'( X ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.09    1 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 3, [ ~( 'big_p'( X ) ), 'big_g'( X ) ] )
% 0.68/1.09  , clause( 17, [ ~( 'big_p'( X ) ), 'big_g'( X ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.09    1 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 4, [ ~( 'big_p'( X ) ), 'big_p'( b ), 'big_q'( X ) ] )
% 0.68/1.09  , clause( 18, [ ~( 'big_p'( X ) ), 'big_q'( X ), 'big_p'( b ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.09    2 ), ==>( 2, 1 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 5, [ ~( 'big_p'( X ) ), 'big_q'( X ), 'big_r'( b ) ] )
% 0.68/1.09  , clause( 19, [ ~( 'big_p'( X ) ), 'big_q'( X ), 'big_r'( b ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.09    1 ), ==>( 2, 2 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 6, [ ~( 'big_p'( X ) ), ~( 'big_q'( X ) ) ] )
% 0.68/1.09  , clause( 20, [ ~( 'big_q'( X ) ), ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.68/1.09    0 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  resolution(
% 0.68/1.09  clause( 21, [ ~( 'big_p'( X ) ), ~( 'big_p'( X ) ), 'big_r'( b ) ] )
% 0.68/1.09  , clause( 6, [ ~( 'big_p'( X ) ), ~( 'big_q'( X ) ) ] )
% 0.68/1.09  , 1, clause( 5, [ ~( 'big_p'( X ) ), 'big_q'( X ), 'big_r'( b ) ] )
% 0.68/1.09  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.09    ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  factor(
% 0.68/1.09  clause( 22, [ ~( 'big_p'( X ) ), 'big_r'( b ) ] )
% 0.68/1.09  , clause( 21, [ ~( 'big_p'( X ) ), ~( 'big_p'( X ) ), 'big_r'( b ) ] )
% 0.68/1.09  , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 7, [ ~( 'big_p'( X ) ), 'big_r'( b ) ] )
% 0.68/1.09  , clause( 22, [ ~( 'big_p'( X ) ), 'big_r'( b ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.09    1 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  resolution(
% 0.68/1.09  clause( 23, [ ~( 'big_f'( b ) ), ~( 'big_g'( b ) ), ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , clause( 1, [ ~( 'big_f'( X ) ), ~( 'big_g'( X ) ), ~( 'big_r'( X ) ) ] )
% 0.68/1.09  , 2, clause( 7, [ ~( 'big_p'( X ) ), 'big_r'( b ) ] )
% 0.68/1.09  , 1, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.09    ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 8, [ ~( 'big_p'( X ) ), ~( 'big_f'( b ) ), ~( 'big_g'( b ) ) ] )
% 0.68/1.09  , clause( 23, [ ~( 'big_f'( b ) ), ~( 'big_g'( b ) ), ~( 'big_p'( X ) ) ]
% 0.68/1.09     )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.68/1.09    2 ), ==>( 2, 0 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  resolution(
% 0.68/1.09  clause( 24, [ ~( 'big_p'( X ) ), ~( 'big_f'( b ) ), ~( 'big_p'( b ) ) ] )
% 0.68/1.09  , clause( 8, [ ~( 'big_p'( X ) ), ~( 'big_f'( b ) ), ~( 'big_g'( b ) ) ] )
% 0.68/1.09  , 2, clause( 3, [ ~( 'big_p'( X ) ), 'big_g'( X ) ] )
% 0.68/1.09  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, b )] )
% 0.68/1.09    ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  factor(
% 0.68/1.09  clause( 25, [ ~( 'big_p'( b ) ), ~( 'big_f'( b ) ) ] )
% 0.68/1.09  , clause( 24, [ ~( 'big_p'( X ) ), ~( 'big_f'( b ) ), ~( 'big_p'( b ) ) ]
% 0.68/1.09     )
% 0.68/1.09  , 0, 2, substitution( 0, [ :=( X, b )] )).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  resolution(
% 0.68/1.09  clause( 26, [ ~( 'big_p'( b ) ), ~( 'big_p'( b ) ) ] )
% 0.68/1.09  , clause( 25, [ ~( 'big_p'( b ) ), ~( 'big_f'( b ) ) ] )
% 0.68/1.09  , 1, clause( 2, [ ~( 'big_p'( X ) ), 'big_f'( X ) ] )
% 0.68/1.09  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 9, [ ~( 'big_p'( b ) ), ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , clause( 26, [ ~( 'big_p'( b ) ), ~( 'big_p'( b ) ) ] )
% 0.68/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 0.68/1.09     ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  factor(
% 0.68/1.09  clause( 28, [ ~( 'big_p'( b ) ) ] )
% 0.68/1.09  , clause( 9, [ ~( 'big_p'( b ) ), ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , 0, 1, substitution( 0, [ :=( X, b )] )).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 10, [ ~( 'big_p'( b ) ) ] )
% 0.68/1.09  , clause( 28, [ ~( 'big_p'( b ) ) ] )
% 0.68/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  resolution(
% 0.68/1.09  clause( 29, [ ~( 'big_p'( X ) ), 'big_q'( X ) ] )
% 0.68/1.09  , clause( 10, [ ~( 'big_p'( b ) ) ] )
% 0.68/1.09  , 0, clause( 4, [ ~( 'big_p'( X ) ), 'big_p'( b ), 'big_q'( X ) ] )
% 0.68/1.09  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  resolution(
% 0.68/1.09  clause( 30, [ ~( 'big_p'( X ) ), ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , clause( 6, [ ~( 'big_p'( X ) ), ~( 'big_q'( X ) ) ] )
% 0.68/1.09  , 1, clause( 29, [ ~( 'big_p'( X ) ), 'big_q'( X ) ] )
% 0.68/1.09  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.09    ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  factor(
% 0.68/1.09  clause( 31, [ ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , clause( 30, [ ~( 'big_p'( X ) ), ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 11, [ ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , clause( 31, [ ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  resolution(
% 0.68/1.09  clause( 32, [] )
% 0.68/1.09  , clause( 11, [ ~( 'big_p'( X ) ) ] )
% 0.68/1.09  , 0, clause( 0, [ 'big_p'( a ) ] )
% 0.68/1.09  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 12, [] )
% 0.68/1.09  , clause( 32, [] )
% 0.68/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  end.
% 0.68/1.09  
% 0.68/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09  
% 0.68/1.09  Memory use:
% 0.68/1.09  
% 0.68/1.09  space for terms:        207
% 0.68/1.09  space for clauses:      594
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  clauses generated:      13
% 0.68/1.09  clauses kept:           13
% 0.68/1.09  clauses selected:       9
% 0.68/1.09  clauses deleted:        3
% 0.68/1.09  clauses inuse deleted:  0
% 0.68/1.09  
% 0.68/1.09  subsentry:          3
% 0.68/1.09  literals s-matched: 1
% 0.68/1.09  literals matched:   1
% 0.68/1.09  full subsumption:   0
% 0.68/1.09  
% 0.68/1.09  checksum:           4427299
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Bliksem ended
%------------------------------------------------------------------------------