TSTP Solution File: SYN033-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n014.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 0.46s 1.12s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Mon Jul 11 15:40:34 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.46/1.12  *** allocated 10000 integers for termspace/termends
% 0.46/1.12  *** allocated 10000 integers for clauses
% 0.46/1.12  *** allocated 10000 integers for justifications
% 0.46/1.12  Bliksem 1.12
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Automatic Strategy Selection
% 0.46/1.12  
% 0.46/1.12  Clauses:
% 0.46/1.12  [
% 0.46/1.12     [ p( g( X, Y ), X, Y ) ],
% 0.46/1.12     [ p( X, h( X, Y ), Y ) ],
% 0.46/1.12     [ ~( p( X, Y, Z ) ), ~( p( T, U, Y ) ), ~( p( X, T, W ) ), p( W, U, Z )
% 0.46/1.12     ],
% 0.46/1.12     [ ~( p( k( X ), X, k( X ) ) ) ]
% 0.46/1.12  ] .
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  percentage equality = 0.000000, percentage horn = 1.000000
% 0.46/1.12  This is a near-Horn, non-equality  problem
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Options Used:
% 0.46/1.12  
% 0.46/1.12  useres =            1
% 0.46/1.12  useparamod =        0
% 0.46/1.12  useeqrefl =         0
% 0.46/1.12  useeqfact =         0
% 0.46/1.12  usefactor =         1
% 0.46/1.12  usesimpsplitting =  0
% 0.46/1.12  usesimpdemod =      0
% 0.46/1.12  usesimpres =        4
% 0.46/1.12  
% 0.46/1.12  resimpinuse      =  1000
% 0.46/1.12  resimpclauses =     20000
% 0.46/1.12  substype =          standard
% 0.46/1.12  backwardsubs =      1
% 0.46/1.12  selectoldest =      5
% 0.46/1.12  
% 0.46/1.12  litorderings [0] =  split
% 0.46/1.12  litorderings [1] =  liftord
% 0.46/1.12  
% 0.46/1.12  termordering =      none
% 0.46/1.12  
% 0.46/1.12  litapriori =        1
% 0.46/1.12  termapriori =       0
% 0.46/1.12  litaposteriori =    0
% 0.46/1.12  termaposteriori =   0
% 0.46/1.12  demodaposteriori =  0
% 0.46/1.12  ordereqreflfact =   0
% 0.46/1.12  
% 0.46/1.12  litselect =         negative
% 0.46/1.12  
% 0.46/1.12  maxweight =         30000
% 0.46/1.12  maxdepth =          30000
% 0.46/1.12  maxlength =         115
% 0.46/1.12  maxnrvars =         195
% 0.46/1.12  excuselevel =       0
% 0.46/1.12  increasemaxweight = 0
% 0.46/1.12  
% 0.46/1.12  maxselected =       10000000
% 0.46/1.12  maxnrclauses =      10000000
% 0.46/1.12  
% 0.46/1.12  showgenerated =    0
% 0.46/1.12  showkept =         0
% 0.46/1.12  showselected =     0
% 0.46/1.12  showdeleted =      0
% 0.46/1.12  showresimp =       1
% 0.46/1.12  showstatus =       2000
% 0.46/1.12  
% 0.46/1.12  prologoutput =     1
% 0.46/1.12  nrgoals =          5000000
% 0.46/1.12  totalproof =       1
% 0.46/1.12  
% 0.46/1.12  Symbols occurring in the translation:
% 0.46/1.12  
% 0.46/1.12  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.46/1.12  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.46/1.12  !  [4, 1]      (w:1, o:15, a:1, s:1, b:0), 
% 0.46/1.12  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.12  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.12  g  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.46/1.12  p  [42, 3]      (w:1, o:48, a:1, s:1, b:0), 
% 0.46/1.12  h  [43, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.46/1.12  k  [48, 1]      (w:1, o:20, a:1, s:1, b:0).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Starting Search:
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Bliksems!, er is een bewijs:
% 0.46/1.12  % SZS status Unsatisfiable
% 0.46/1.12  % SZS output start Refutation
% 0.46/1.12  
% 0.46/1.12  clause( 0, [ p( g( X, Y ), X, Y ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 1, [ p( X, h( X, Y ), Y ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 2, [ ~( p( X, Y, Z ) ), ~( p( X, T, W ) ), p( W, U, Z ), ~( p( T, U
% 0.46/1.12    , Y ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 3, [ ~( p( k( X ), X, k( X ) ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 4, [ p( Z, T, Z ), ~( p( X, Y, Z ) ), ~( p( Y, T, Y ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 7, [ p( X, h( Y, Y ), X ), ~( p( Z, Y, X ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 8, [ p( X, h( Y, Y ), X ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 12, [] )
% 0.46/1.12  .
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  % SZS output end Refutation
% 0.46/1.12  found a proof!
% 0.46/1.12  
% 0.46/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.12  
% 0.46/1.12  initialclauses(
% 0.46/1.12  [ clause( 14, [ p( g( X, Y ), X, Y ) ] )
% 0.46/1.12  , clause( 15, [ p( X, h( X, Y ), Y ) ] )
% 0.46/1.12  , clause( 16, [ ~( p( X, Y, Z ) ), ~( p( T, U, Y ) ), ~( p( X, T, W ) ), p( 
% 0.46/1.12    W, U, Z ) ] )
% 0.46/1.12  , clause( 17, [ ~( p( k( X ), X, k( X ) ) ) ] )
% 0.46/1.12  ] ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 0, [ p( g( X, Y ), X, Y ) ] )
% 0.46/1.12  , clause( 14, [ p( g( X, Y ), X, Y ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.12     )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 1, [ p( X, h( X, Y ), Y ) ] )
% 0.46/1.12  , clause( 15, [ p( X, h( X, Y ), Y ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.12     )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 2, [ ~( p( X, Y, Z ) ), ~( p( X, T, W ) ), p( W, U, Z ), ~( p( T, U
% 0.46/1.12    , Y ) ) ] )
% 0.46/1.12  , clause( 16, [ ~( p( X, Y, Z ) ), ~( p( T, U, Y ) ), ~( p( X, T, W ) ), p( 
% 0.46/1.12    W, U, Z ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.46/1.12    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.46/1.12    , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 3, [ ~( p( k( X ), X, k( X ) ) ) ] )
% 0.46/1.12  , clause( 17, [ ~( p( k( X ), X, k( X ) ) ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  factor(
% 0.46/1.12  clause( 26, [ ~( p( X, Y, Z ) ), p( Z, T, Z ), ~( p( Y, T, Y ) ) ] )
% 0.46/1.12  , clause( 2, [ ~( p( X, Y, Z ) ), ~( p( X, T, W ) ), p( W, U, Z ), ~( p( T
% 0.46/1.12    , U, Y ) ) ] )
% 0.46/1.12  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ), 
% 0.46/1.12    :=( U, T ), :=( W, Z )] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 4, [ p( Z, T, Z ), ~( p( X, Y, Z ) ), ~( p( Y, T, Y ) ) ] )
% 0.46/1.12  , clause( 26, [ ~( p( X, Y, Z ) ), p( Z, T, Z ), ~( p( Y, T, Y ) ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.46/1.12    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 31, [ p( X, h( Y, Y ), X ), ~( p( Z, Y, X ) ) ] )
% 0.46/1.12  , clause( 4, [ p( Z, T, Z ), ~( p( X, Y, Z ) ), ~( p( Y, T, Y ) ) ] )
% 0.46/1.12  , 2, clause( 1, [ p( X, h( X, Y ), Y ) ] )
% 0.46/1.12  , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, h( Y, Y
% 0.46/1.12     ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Y )] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 7, [ p( X, h( Y, Y ), X ), ~( p( Z, Y, X ) ) ] )
% 0.46/1.12  , clause( 31, [ p( X, h( Y, Y ), X ), ~( p( Z, Y, X ) ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.46/1.12    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 32, [ p( X, h( Y, Y ), X ) ] )
% 0.46/1.12  , clause( 7, [ p( X, h( Y, Y ), X ), ~( p( Z, Y, X ) ) ] )
% 0.46/1.12  , 1, clause( 0, [ p( g( X, Y ), X, Y ) ] )
% 0.46/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, g( Y, X ) )] ), 
% 0.46/1.12    substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 8, [ p( X, h( Y, Y ), X ) ] )
% 0.46/1.12  , clause( 32, [ p( X, h( Y, Y ), X ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.12     )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 33, [] )
% 0.46/1.12  , clause( 3, [ ~( p( k( X ), X, k( X ) ) ) ] )
% 0.46/1.12  , 0, clause( 8, [ p( X, h( Y, Y ), X ) ] )
% 0.46/1.12  , 0, substitution( 0, [ :=( X, h( X, X ) )] ), substitution( 1, [ :=( X, k( 
% 0.46/1.12    h( X, X ) ) ), :=( Y, X )] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 12, [] )
% 0.46/1.12  , clause( 33, [] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  end.
% 0.46/1.12  
% 0.46/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.12  
% 0.46/1.12  Memory use:
% 0.46/1.12  
% 0.46/1.12  space for terms:        250
% 0.46/1.12  space for clauses:      679
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  clauses generated:      20
% 0.46/1.12  clauses kept:           13
% 0.46/1.12  clauses selected:       7
% 0.46/1.12  clauses deleted:        0
% 0.46/1.12  clauses inuse deleted:  0
% 0.46/1.12  
% 0.46/1.12  subsentry:          40
% 0.46/1.12  literals s-matched: 22
% 0.46/1.12  literals matched:   12
% 0.46/1.12  full subsumption:   1
% 0.46/1.12  
% 0.46/1.12  checksum:           -21538
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Bliksem ended
%------------------------------------------------------------------------------