TSTP Solution File: SYN327-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN327-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 02:49:38 EDT 2022

% Result   : Unsatisfiable 0.71s 1.10s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN327-1 : TPTP v8.1.0. Released v1.2.0.
% 0.13/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n024.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 05:47:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.71/1.10  *** allocated 10000 integers for termspace/termends
% 0.71/1.10  *** allocated 10000 integers for clauses
% 0.71/1.10  *** allocated 10000 integers for justifications
% 0.71/1.10  Bliksem 1.12
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Automatic Strategy Selection
% 0.71/1.10  
% 0.71/1.10  Clauses:
% 0.71/1.10  [
% 0.71/1.10     [ f( X, a ), f( a, X ) ],
% 0.71/1.10     [ f( X, a ), ~( f( a, z( X ) ) ) ],
% 0.71/1.10     [ f( a, z( X ) ), f( a, X ) ],
% 0.71/1.10     [ f( a, z( X ) ), ~( f( X, a ) ), ~( f( z( X ), X ) ) ],
% 0.71/1.10     [ ~( f( a, X ) ), ~( f( a, z( X ) ) ) ],
% 0.71/1.10     [ ~( f( a, X ) ), ~( f( X, a ) ), ~( f( z( X ), X ) ) ]
% 0.71/1.10  ] .
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  percentage equality = 0.000000, percentage horn = 0.666667
% 0.71/1.10  This a non-horn, non-equality problem
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Options Used:
% 0.71/1.10  
% 0.71/1.10  useres =            1
% 0.71/1.10  useparamod =        0
% 0.71/1.10  useeqrefl =         0
% 0.71/1.10  useeqfact =         0
% 0.71/1.10  usefactor =         1
% 0.71/1.10  usesimpsplitting =  0
% 0.71/1.10  usesimpdemod =      0
% 0.71/1.10  usesimpres =        3
% 0.71/1.10  
% 0.71/1.10  resimpinuse      =  1000
% 0.71/1.10  resimpclauses =     20000
% 0.71/1.10  substype =          standard
% 0.71/1.10  backwardsubs =      1
% 0.71/1.10  selectoldest =      5
% 0.71/1.10  
% 0.71/1.10  litorderings [0] =  split
% 0.71/1.10  litorderings [1] =  liftord
% 0.71/1.10  
% 0.71/1.10  termordering =      none
% 0.71/1.10  
% 0.71/1.10  litapriori =        1
% 0.71/1.10  termapriori =       0
% 0.71/1.10  litaposteriori =    0
% 0.71/1.10  termaposteriori =   0
% 0.71/1.10  demodaposteriori =  0
% 0.71/1.10  ordereqreflfact =   0
% 0.71/1.10  
% 0.71/1.10  litselect =         none
% 0.71/1.10  
% 0.71/1.10  maxweight =         15
% 0.71/1.10  maxdepth =          30000
% 0.71/1.10  maxlength =         115
% 0.71/1.10  maxnrvars =         195
% 0.71/1.10  excuselevel =       1
% 0.71/1.10  increasemaxweight = 1
% 0.71/1.10  
% 0.71/1.10  maxselected =       10000000
% 0.71/1.10  maxnrclauses =      10000000
% 0.71/1.10  
% 0.71/1.10  showgenerated =    0
% 0.71/1.10  showkept =         0
% 0.71/1.10  showselected =     0
% 0.71/1.10  showdeleted =      0
% 0.71/1.10  showresimp =       1
% 0.71/1.10  showstatus =       2000
% 0.71/1.10  
% 0.71/1.10  prologoutput =     1
% 0.71/1.10  nrgoals =          5000000
% 0.71/1.10  totalproof =       1
% 0.71/1.10  
% 0.71/1.10  Symbols occurring in the translation:
% 0.71/1.10  
% 0.71/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.10  .  [1, 2]      (w:1, o:17, a:1, s:1, b:0), 
% 0.71/1.10  !  [4, 1]      (w:0, o:11, a:1, s:1, b:0), 
% 0.71/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.10  a  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.71/1.10  f  [41, 2]      (w:1, o:42, a:1, s:1, b:0), 
% 0.71/1.10  z  [42, 1]      (w:1, o:16, a:1, s:1, b:0).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Starting Search:
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Bliksems!, er is een bewijs:
% 0.71/1.10  % SZS status Unsatisfiable
% 0.71/1.10  % SZS output start Refutation
% 0.71/1.10  
% 0.71/1.10  clause( 0, [ f( a, X ), f( X, a ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 4, [ ~( f( a, z( X ) ) ), ~( f( a, X ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 5, [ ~( f( a, X ) ), ~( f( z( X ), X ) ), ~( f( X, a ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 6, [ f( a, a ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 7, [ ~( f( z( a ), a ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 8, [ f( a, z( a ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 9, [] )
% 0.71/1.10  .
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  % SZS output end Refutation
% 0.71/1.10  found a proof!
% 0.71/1.10  
% 0.71/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10  
% 0.71/1.10  initialclauses(
% 0.71/1.10  [ clause( 11, [ f( X, a ), f( a, X ) ] )
% 0.71/1.10  , clause( 12, [ f( X, a ), ~( f( a, z( X ) ) ) ] )
% 0.71/1.10  , clause( 13, [ f( a, z( X ) ), f( a, X ) ] )
% 0.71/1.10  , clause( 14, [ f( a, z( X ) ), ~( f( X, a ) ), ~( f( z( X ), X ) ) ] )
% 0.71/1.10  , clause( 15, [ ~( f( a, X ) ), ~( f( a, z( X ) ) ) ] )
% 0.71/1.10  , clause( 16, [ ~( f( a, X ) ), ~( f( X, a ) ), ~( f( z( X ), X ) ) ] )
% 0.71/1.10  ] ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 0, [ f( a, X ), f( X, a ) ] )
% 0.71/1.10  , clause( 11, [ f( X, a ), f( a, X ) ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.10    0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 4, [ ~( f( a, z( X ) ) ), ~( f( a, X ) ) ] )
% 0.71/1.10  , clause( 15, [ ~( f( a, X ) ), ~( f( a, z( X ) ) ) ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.10    0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 5, [ ~( f( a, X ) ), ~( f( z( X ), X ) ), ~( f( X, a ) ) ] )
% 0.71/1.10  , clause( 16, [ ~( f( a, X ) ), ~( f( X, a ) ), ~( f( z( X ), X ) ) ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.71/1.10    2 ), ==>( 2, 1 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  factor(
% 0.71/1.10  clause( 21, [ f( a, a ) ] )
% 0.71/1.10  , clause( 0, [ f( a, X ), f( X, a ) ] )
% 0.71/1.10  , 0, 1, substitution( 0, [ :=( X, a )] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 6, [ f( a, a ) ] )
% 0.71/1.10  , clause( 21, [ f( a, a ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  factor(
% 0.71/1.10  clause( 22, [ ~( f( a, a ) ), ~( f( z( a ), a ) ) ] )
% 0.71/1.10  , clause( 5, [ ~( f( a, X ) ), ~( f( z( X ), X ) ), ~( f( X, a ) ) ] )
% 0.71/1.10  , 0, 2, substitution( 0, [ :=( X, a )] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 23, [ ~( f( z( a ), a ) ) ] )
% 0.71/1.10  , clause( 22, [ ~( f( a, a ) ), ~( f( z( a ), a ) ) ] )
% 0.71/1.10  , 0, clause( 6, [ f( a, a ) ] )
% 0.71/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 7, [ ~( f( z( a ), a ) ) ] )
% 0.71/1.10  , clause( 23, [ ~( f( z( a ), a ) ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 24, [ f( a, z( a ) ) ] )
% 0.71/1.10  , clause( 7, [ ~( f( z( a ), a ) ) ] )
% 0.71/1.10  , 0, clause( 0, [ f( a, X ), f( X, a ) ] )
% 0.71/1.10  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, z( a ) )] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 8, [ f( a, z( a ) ) ] )
% 0.71/1.10  , clause( 24, [ f( a, z( a ) ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 25, [ ~( f( a, a ) ) ] )
% 0.71/1.10  , clause( 4, [ ~( f( a, z( X ) ) ), ~( f( a, X ) ) ] )
% 0.71/1.10  , 0, clause( 8, [ f( a, z( a ) ) ] )
% 0.71/1.10  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 27, [] )
% 0.71/1.10  , clause( 25, [ ~( f( a, a ) ) ] )
% 0.71/1.10  , 0, clause( 6, [ f( a, a ) ] )
% 0.71/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 9, [] )
% 0.71/1.10  , clause( 27, [] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  end.
% 0.71/1.10  
% 0.71/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10  
% 0.71/1.10  Memory use:
% 0.71/1.10  
% 0.71/1.10  space for terms:        227
% 0.71/1.10  space for clauses:      529
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  clauses generated:      10
% 0.71/1.10  clauses kept:           10
% 0.71/1.10  clauses selected:       5
% 0.71/1.10  clauses deleted:        0
% 0.71/1.10  clauses inuse deleted:  0
% 0.71/1.10  
% 0.71/1.10  subsentry:          6
% 0.71/1.10  literals s-matched: 1
% 0.71/1.10  literals matched:   1
% 0.71/1.10  full subsumption:   0
% 0.71/1.10  
% 0.71/1.10  checksum:           -2147445154
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Bliksem ended
%------------------------------------------------------------------------------