TSTP Solution File: SYN555-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN555-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n021.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 02:52:56 EDT 2022

% Result   : Unsatisfiable 0.70s 1.10s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN555-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n021.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 : Tue Jul 12 08:45:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.70/1.10  *** allocated 10000 integers for termspace/termends
% 0.70/1.10  *** allocated 10000 integers for clauses
% 0.70/1.10  *** allocated 10000 integers for justifications
% 0.70/1.10  Bliksem 1.12
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Automatic Strategy Selection
% 0.70/1.10  
% 0.70/1.10  Clauses:
% 0.70/1.10  [
% 0.70/1.10     [ p2( X, X ) ],
% 0.70/1.10     [ p4( X, X ) ],
% 0.70/1.10     [ p3( X, X ) ],
% 0.70/1.10     [ p4( f5( c7, c10, c9 ), c9 ) ],
% 0.70/1.10     [ ~( p4( f5( c7, c10, c8 ), c8 ) ) ],
% 0.70/1.10     [ p4( f5( c7, X, c8 ), f5( c7, X, c9 ) ) ],
% 0.70/1.10     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.70/1.10     [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.70/1.10     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.70/1.10     [ p3( f6( X, Y, Z ), f6( T, U, W ) ), ~( p4( Z, W ) ), ~( p4( Y, U ) ), 
% 0.70/1.10    ~( p3( X, T ) ) ],
% 0.70/1.10     [ p4( f5( X, Y, Z ), f5( T, U, W ) ), ~( p3( Y, U ) ), ~( p4( Z, W ) ), 
% 0.70/1.10    ~( p2( X, T ) ) ],
% 0.70/1.10     [ p4( f5( c7, X, Y ), Y ), ~( p4( f5( c7, X, Z ), Z ) ), ~( p4( f5( c7, 
% 0.70/1.10    f6( X, Z, Y ), Z ), f5( c7, f6( X, Z, Y ), Y ) ) ) ]
% 0.70/1.10  ] .
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  percentage equality = 0.000000, percentage horn = 1.000000
% 0.70/1.10  This is a near-Horn, non-equality  problem
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Options Used:
% 0.70/1.10  
% 0.70/1.10  useres =            1
% 0.70/1.10  useparamod =        0
% 0.70/1.10  useeqrefl =         0
% 0.70/1.10  useeqfact =         0
% 0.70/1.10  usefactor =         1
% 0.70/1.10  usesimpsplitting =  0
% 0.70/1.10  usesimpdemod =      0
% 0.70/1.10  usesimpres =        4
% 0.70/1.10  
% 0.70/1.10  resimpinuse      =  1000
% 0.70/1.10  resimpclauses =     20000
% 0.70/1.10  substype =          standard
% 0.70/1.10  backwardsubs =      1
% 0.70/1.10  selectoldest =      5
% 0.70/1.10  
% 0.70/1.10  litorderings [0] =  split
% 0.70/1.10  litorderings [1] =  liftord
% 0.70/1.10  
% 0.70/1.10  termordering =      none
% 0.70/1.10  
% 0.70/1.10  litapriori =        1
% 0.70/1.10  termapriori =       0
% 0.70/1.10  litaposteriori =    0
% 0.70/1.10  termaposteriori =   0
% 0.70/1.10  demodaposteriori =  0
% 0.70/1.10  ordereqreflfact =   0
% 0.70/1.10  
% 0.70/1.10  litselect =         negative
% 0.70/1.10  
% 0.70/1.10  maxweight =         30000
% 0.70/1.10  maxdepth =          30000
% 0.70/1.10  maxlength =         115
% 0.70/1.10  maxnrvars =         195
% 0.70/1.10  excuselevel =       0
% 0.70/1.10  increasemaxweight = 0
% 0.70/1.10  
% 0.70/1.10  maxselected =       10000000
% 0.70/1.10  maxnrclauses =      10000000
% 0.70/1.10  
% 0.70/1.10  showgenerated =    0
% 0.70/1.10  showkept =         0
% 0.70/1.10  showselected =     0
% 0.70/1.10  showdeleted =      0
% 0.70/1.10  showresimp =       1
% 0.70/1.10  showstatus =       2000
% 0.70/1.10  
% 0.70/1.10  prologoutput =     1
% 0.70/1.10  nrgoals =          5000000
% 0.70/1.10  totalproof =       1
% 0.70/1.10  
% 0.70/1.10  Symbols occurring in the translation:
% 0.70/1.10  
% 0.70/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.70/1.10  .  [1, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.70/1.10  !  [4, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 0.70/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.10  p2  [40, 2]      (w:1, o:68, a:1, s:1, b:0), 
% 0.70/1.10  p4  [42, 2]      (w:1, o:70, a:1, s:1, b:0), 
% 0.70/1.10  p3  [44, 2]      (w:1, o:69, a:1, s:1, b:0), 
% 0.70/1.10  c7  [45, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 0.70/1.10  c10  [46, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 0.70/1.10  c9  [47, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 0.70/1.10  f5  [48, 3]      (w:1, o:71, a:1, s:1, b:0), 
% 0.70/1.10  c8  [49, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 0.70/1.10  f6  [60, 3]      (w:1, o:72, a:1, s:1, b:0).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Starting Search:
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Bliksems!, er is een bewijs:
% 0.70/1.10  % SZS status Unsatisfiable
% 0.70/1.10  % SZS output start Refutation
% 0.70/1.10  
% 0.70/1.10  clause( 1, [ p4( X, X ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 3, [ p4( f5( c7, c10, c9 ), c9 ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 4, [ ~( p4( f5( c7, c10, c8 ), c8 ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 5, [ p4( f5( c7, X, c8 ), f5( c7, X, c9 ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 7, [ ~( p4( Z, X ) ), p4( X, Y ), ~( p4( Z, Y ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 11, [ p4( f5( c7, X, Y ), Y ), ~( p4( f5( c7, f6( X, Z, Y ), Z ), 
% 0.70/1.10    f5( c7, f6( X, Z, Y ), Y ) ) ), ~( p4( f5( c7, X, Z ), Z ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 16, [ p4( Y, X ), ~( p4( X, Y ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 17, [ p4( f5( c7, X, c9 ), f5( c7, X, c8 ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 41, [ p4( f5( c7, c10, X ), X ), ~( p4( f5( c7, f6( c10, c9, X ), 
% 0.70/1.10    c9 ), f5( c7, f6( c10, c9, X ), X ) ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 452, [] )
% 0.70/1.10  .
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  % SZS output end Refutation
% 0.70/1.10  found a proof!
% 0.70/1.10  
% 0.70/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10  
% 0.70/1.10  initialclauses(
% 0.70/1.10  [ clause( 454, [ p2( X, X ) ] )
% 0.70/1.10  , clause( 455, [ p4( X, X ) ] )
% 0.70/1.10  , clause( 456, [ p3( X, X ) ] )
% 0.70/1.10  , clause( 457, [ p4( f5( c7, c10, c9 ), c9 ) ] )
% 0.70/1.10  , clause( 458, [ ~( p4( f5( c7, c10, c8 ), c8 ) ) ] )
% 0.70/1.10  , clause( 459, [ p4( f5( c7, X, c8 ), f5( c7, X, c9 ) ) ] )
% 0.70/1.10  , clause( 460, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.70/1.10  , clause( 461, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.70/1.10  , clause( 462, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.70/1.10  , clause( 463, [ p3( f6( X, Y, Z ), f6( T, U, W ) ), ~( p4( Z, W ) ), ~( p4( 
% 0.70/1.10    Y, U ) ), ~( p3( X, T ) ) ] )
% 0.70/1.10  , clause( 464, [ p4( f5( X, Y, Z ), f5( T, U, W ) ), ~( p3( Y, U ) ), ~( p4( 
% 0.70/1.10    Z, W ) ), ~( p2( X, T ) ) ] )
% 0.70/1.10  , clause( 465, [ p4( f5( c7, X, Y ), Y ), ~( p4( f5( c7, X, Z ), Z ) ), ~( 
% 0.70/1.10    p4( f5( c7, f6( X, Z, Y ), Z ), f5( c7, f6( X, Z, Y ), Y ) ) ) ] )
% 0.70/1.10  ] ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 1, [ p4( X, X ) ] )
% 0.70/1.10  , clause( 455, [ p4( X, X ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 3, [ p4( f5( c7, c10, c9 ), c9 ) ] )
% 0.70/1.10  , clause( 457, [ p4( f5( c7, c10, c9 ), c9 ) ] )
% 0.70/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 4, [ ~( p4( f5( c7, c10, c8 ), c8 ) ) ] )
% 0.70/1.10  , clause( 458, [ ~( p4( f5( c7, c10, c8 ), c8 ) ) ] )
% 0.70/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 5, [ p4( f5( c7, X, c8 ), f5( c7, X, c9 ) ) ] )
% 0.70/1.10  , clause( 459, [ p4( f5( c7, X, c8 ), f5( c7, X, c9 ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 7, [ ~( p4( Z, X ) ), p4( X, Y ), ~( p4( Z, Y ) ) ] )
% 0.70/1.10  , clause( 461, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.70/1.10    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 11, [ p4( f5( c7, X, Y ), Y ), ~( p4( f5( c7, f6( X, Z, Y ), Z ), 
% 0.70/1.10    f5( c7, f6( X, Z, Y ), Y ) ) ), ~( p4( f5( c7, X, Z ), Z ) ) ] )
% 0.70/1.10  , clause( 465, [ p4( f5( c7, X, Y ), Y ), ~( p4( f5( c7, X, Z ), Z ) ), ~( 
% 0.70/1.10    p4( f5( c7, f6( X, Z, Y ), Z ), f5( c7, f6( X, Z, Y ), Y ) ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.70/1.10    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 473, [ ~( p4( X, Y ) ), p4( Y, X ) ] )
% 0.70/1.10  , clause( 7, [ ~( p4( Z, X ) ), p4( X, Y ), ~( p4( Z, Y ) ) ] )
% 0.70/1.10  , 2, clause( 1, [ p4( X, X ) ] )
% 0.70/1.10  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.70/1.10    substitution( 1, [ :=( X, X )] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 16, [ p4( Y, X ), ~( p4( X, Y ) ) ] )
% 0.70/1.10  , clause( 473, [ ~( p4( X, Y ) ), p4( Y, X ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.70/1.10     ), ==>( 1, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 474, [ p4( f5( c7, X, c9 ), f5( c7, X, c8 ) ) ] )
% 0.70/1.10  , clause( 16, [ p4( Y, X ), ~( p4( X, Y ) ) ] )
% 0.70/1.10  , 1, clause( 5, [ p4( f5( c7, X, c8 ), f5( c7, X, c9 ) ) ] )
% 0.70/1.10  , 0, substitution( 0, [ :=( X, f5( c7, X, c8 ) ), :=( Y, f5( c7, X, c9 ) )] )
% 0.70/1.10    , substitution( 1, [ :=( X, X )] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 17, [ p4( f5( c7, X, c9 ), f5( c7, X, c8 ) ) ] )
% 0.70/1.10  , clause( 474, [ p4( f5( c7, X, c9 ), f5( c7, X, c8 ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 475, [ p4( f5( c7, c10, X ), X ), ~( p4( f5( c7, f6( c10, c9, X ), 
% 0.70/1.10    c9 ), f5( c7, f6( c10, c9, X ), X ) ) ) ] )
% 0.70/1.10  , clause( 11, [ p4( f5( c7, X, Y ), Y ), ~( p4( f5( c7, f6( X, Z, Y ), Z )
% 0.70/1.10    , f5( c7, f6( X, Z, Y ), Y ) ) ), ~( p4( f5( c7, X, Z ), Z ) ) ] )
% 0.70/1.10  , 2, clause( 3, [ p4( f5( c7, c10, c9 ), c9 ) ] )
% 0.70/1.10  , 0, substitution( 0, [ :=( X, c10 ), :=( Y, X ), :=( Z, c9 )] ), 
% 0.70/1.10    substitution( 1, [] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 41, [ p4( f5( c7, c10, X ), X ), ~( p4( f5( c7, f6( c10, c9, X ), 
% 0.70/1.10    c9 ), f5( c7, f6( c10, c9, X ), X ) ) ) ] )
% 0.70/1.10  , clause( 475, [ p4( f5( c7, c10, X ), X ), ~( p4( f5( c7, f6( c10, c9, X )
% 0.70/1.10    , c9 ), f5( c7, f6( c10, c9, X ), X ) ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.70/1.10    1 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 476, [ p4( f5( c7, c10, c8 ), c8 ) ] )
% 0.70/1.10  , clause( 41, [ p4( f5( c7, c10, X ), X ), ~( p4( f5( c7, f6( c10, c9, X )
% 0.70/1.10    , c9 ), f5( c7, f6( c10, c9, X ), X ) ) ) ] )
% 0.70/1.10  , 1, clause( 17, [ p4( f5( c7, X, c9 ), f5( c7, X, c8 ) ) ] )
% 0.70/1.10  , 0, substitution( 0, [ :=( X, c8 )] ), substitution( 1, [ :=( X, f6( c10, 
% 0.70/1.10    c9, c8 ) )] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 477, [] )
% 0.70/1.10  , clause( 4, [ ~( p4( f5( c7, c10, c8 ), c8 ) ) ] )
% 0.70/1.10  , 0, clause( 476, [ p4( f5( c7, c10, c8 ), c8 ) ] )
% 0.70/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 452, [] )
% 0.70/1.10  , clause( 477, [] )
% 0.70/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  end.
% 0.70/1.10  
% 0.70/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10  
% 0.70/1.10  Memory use:
% 0.70/1.10  
% 0.70/1.10  space for terms:        10026
% 0.70/1.10  space for clauses:      44340
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  clauses generated:      569
% 0.70/1.10  clauses kept:           453
% 0.70/1.10  clauses selected:       85
% 0.70/1.10  clauses deleted:        1
% 0.70/1.10  clauses inuse deleted:  0
% 0.70/1.10  
% 0.70/1.10  subsentry:          724
% 0.70/1.10  literals s-matched: 440
% 0.70/1.10  literals matched:   440
% 0.70/1.10  full subsumption:   6
% 0.70/1.10  
% 0.70/1.10  checksum:           -784456560
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Bliksem ended
%------------------------------------------------------------------------------