TSTP Solution File: SYN034-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN034-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n027.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 02:46:50 EDT 2022

% Result   : Unsatisfiable 0.42s 1.09s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Tue Jul 12 06:31:04 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.42/1.09  *** allocated 10000 integers for termspace/termends
% 0.42/1.09  *** allocated 10000 integers for clauses
% 0.42/1.09  *** allocated 10000 integers for justifications
% 0.42/1.09  Bliksem 1.12
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  Automatic Strategy Selection
% 0.42/1.09  
% 0.42/1.09  Clauses:
% 0.42/1.09  [
% 0.42/1.09     [ p( X, a ), p( X, f( X ) ) ],
% 0.42/1.09     [ p( X, a ), p( f( X ), X ) ],
% 0.42/1.09     [ ~( p( X, Y ) ), ~( p( Y, X ) ), ~( p( Y, a ) ) ]
% 0.42/1.09  ] .
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  percentage equality = 0.000000, percentage horn = 0.333333
% 0.42/1.09  This a non-horn, non-equality problem
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  Options Used:
% 0.42/1.09  
% 0.42/1.09  useres =            1
% 0.42/1.09  useparamod =        0
% 0.42/1.09  useeqrefl =         0
% 0.42/1.09  useeqfact =         0
% 0.42/1.09  usefactor =         1
% 0.42/1.09  usesimpsplitting =  0
% 0.42/1.09  usesimpdemod =      0
% 0.42/1.09  usesimpres =        3
% 0.42/1.09  
% 0.42/1.09  resimpinuse      =  1000
% 0.42/1.09  resimpclauses =     20000
% 0.42/1.09  substype =          standard
% 0.42/1.09  backwardsubs =      1
% 0.42/1.09  selectoldest =      5
% 0.42/1.09  
% 0.42/1.09  litorderings [0] =  split
% 0.42/1.09  litorderings [1] =  liftord
% 0.42/1.09  
% 0.42/1.09  termordering =      none
% 0.42/1.09  
% 0.42/1.09  litapriori =        1
% 0.42/1.09  termapriori =       0
% 0.42/1.09  litaposteriori =    0
% 0.42/1.09  termaposteriori =   0
% 0.42/1.09  demodaposteriori =  0
% 0.42/1.09  ordereqreflfact =   0
% 0.42/1.09  
% 0.42/1.09  litselect =         none
% 0.42/1.09  
% 0.42/1.09  maxweight =         15
% 0.42/1.09  maxdepth =          30000
% 0.42/1.09  maxlength =         115
% 0.42/1.09  maxnrvars =         195
% 0.42/1.09  excuselevel =       1
% 0.42/1.09  increasemaxweight = 1
% 0.42/1.09  
% 0.42/1.09  maxselected =       10000000
% 0.42/1.09  maxnrclauses =      10000000
% 0.42/1.09  
% 0.42/1.09  showgenerated =    0
% 0.42/1.09  showkept =         0
% 0.42/1.09  showselected =     0
% 0.42/1.09  showdeleted =      0
% 0.42/1.09  showresimp =       1
% 0.42/1.09  showstatus =       2000
% 0.42/1.09  
% 0.42/1.09  prologoutput =     1
% 0.42/1.09  nrgoals =          5000000
% 0.42/1.09  totalproof =       1
% 0.42/1.09  
% 0.42/1.09  Symbols occurring in the translation:
% 0.42/1.09  
% 0.42/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.42/1.09  .  [1, 2]      (w:1, o:18, a:1, s:1, b:0), 
% 0.42/1.09  !  [4, 1]      (w:0, o:12, a:1, s:1, b:0), 
% 0.42/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.09  a  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.42/1.09  p  [41, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.42/1.09  f  [42, 1]      (w:1, o:17, a:1, s:1, b:0).
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  Starting Search:
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  Bliksems!, er is een bewijs:
% 0.42/1.09  % SZS status Unsatisfiable
% 0.42/1.09  % SZS output start Refutation
% 0.42/1.09  
% 0.42/1.09  clause( 0, [ p( X, a ), p( X, f( X ) ) ] )
% 0.42/1.09  .
% 0.42/1.09  clause( 1, [ p( f( X ), X ), p( X, a ) ] )
% 0.42/1.09  .
% 0.42/1.09  clause( 2, [ ~( p( Y, X ) ), ~( p( Y, a ) ), ~( p( X, Y ) ) ] )
% 0.42/1.09  .
% 0.42/1.09  clause( 3, [ ~( p( a, X ) ), ~( p( X, a ) ) ] )
% 0.42/1.09  .
% 0.42/1.09  clause( 4, [ ~( p( X, a ) ), ~( p( X, X ) ) ] )
% 0.42/1.09  .
% 0.42/1.09  clause( 5, [ ~( p( a, a ) ) ] )
% 0.42/1.09  .
% 0.42/1.09  clause( 8, [ p( f( a ), a ) ] )
% 0.42/1.09  .
% 0.42/1.09  clause( 11, [ ~( p( f( a ), a ) ) ] )
% 0.42/1.09  .
% 0.42/1.09  clause( 12, [] )
% 0.42/1.09  .
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  % SZS output end Refutation
% 0.42/1.09  found a proof!
% 0.42/1.09  
% 0.42/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.09  
% 0.42/1.09  initialclauses(
% 0.42/1.09  [ clause( 14, [ p( X, a ), p( X, f( X ) ) ] )
% 0.42/1.09  , clause( 15, [ p( X, a ), p( f( X ), X ) ] )
% 0.42/1.09  , clause( 16, [ ~( p( X, Y ) ), ~( p( Y, X ) ), ~( p( Y, a ) ) ] )
% 0.42/1.09  ] ).
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  subsumption(
% 0.42/1.09  clause( 0, [ p( X, a ), p( X, f( X ) ) ] )
% 0.42/1.09  , clause( 14, [ p( X, a ), p( X, f( X ) ) ] )
% 0.42/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.42/1.09    1 )] ) ).
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  subsumption(
% 0.42/1.09  clause( 1, [ p( f( X ), X ), p( X, a ) ] )
% 0.42/1.09  , clause( 15, [ p( X, a ), p( f( X ), X ) ] )
% 0.42/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.42/1.09    0 )] ) ).
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  subsumption(
% 0.42/1.09  clause( 2, [ ~( p( Y, X ) ), ~( p( Y, a ) ), ~( p( X, Y ) ) ] )
% 0.42/1.09  , clause( 16, [ ~( p( X, Y ) ), ~( p( Y, X ) ), ~( p( Y, a ) ) ] )
% 0.42/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.42/1.09     ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  factor(
% 0.42/1.09  clause( 20, [ ~( p( X, a ) ), ~( p( a, X ) ) ] )
% 0.42/1.09  , clause( 2, [ ~( p( Y, X ) ), ~( p( Y, a ) ), ~( p( X, Y ) ) ] )
% 0.42/1.09  , 0, 1, substitution( 0, [ :=( X, a ), :=( Y, X )] )).
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  subsumption(
% 0.42/1.09  clause( 3, [ ~( p( a, X ) ), ~( p( X, a ) ) ] )
% 0.42/1.09  , clause( 20, [ ~( p( X, a ) ), ~( p( a, X ) ) ] )
% 0.42/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.42/1.09    0 )] ) ).
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  factor(
% 0.42/1.09  clause( 24, [ ~( p( X, X ) ), ~( p( X, a ) ) ] )
% 0.42/1.09  , clause( 2, [ ~( p( Y, X ) ), ~( p( Y, a ) ), ~( p( X, Y ) ) ] )
% 0.42/1.09  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  subsumption(
% 0.42/1.09  clause( 4, [ ~( p( X, a ) ), ~( p( X, X ) ) ] )
% 0.42/1.09  , clause( 24, [ ~( p( X, X ) ), ~( p( X, a ) ) ] )
% 0.42/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.42/1.09    0 )] ) ).
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  factor(
% 0.42/1.09  clause( 27, [ ~( p( X, X ) ), ~( p( X, a ) ) ] )
% 0.42/1.09  , clause( 2, [ ~( p( Y, X ) ), ~( p( Y, a ) ), ~( p( X, Y ) ) ] )
% 0.42/1.09  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.74/1.09  
% 0.74/1.09  
% 0.74/1.09  factor(
% 0.74/1.09  clause( 28, [ ~( p( a, a ) ) ] )
% 0.74/1.09  , clause( 27, [ ~( p( X, X ) ), ~( p( X, a ) ) ] )
% 0.74/1.09  , 0, 1, substitution( 0, [ :=( X, a )] )).
% 0.74/1.09  
% 0.74/1.09  
% 0.74/1.09  subsumption(
% 0.74/1.09  clause( 5, [ ~( p( a, a ) ) ] )
% 0.74/1.09  , clause( 28, [ ~( p( a, a ) ) ] )
% 0.74/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09  
% 0.74/1.09  
% 0.74/1.09  
% 0.74/1.09  ==> clause( 8, [ p( f( a ), a ) ] )
% 0.74/1.09  
% 0.74/1.09  
% 0.74/1.09  
% 0.74/1.09  !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 0.74/1.09  
% 0.74/1.09  Bliksem ended
%------------------------------------------------------------------------------