TSTP Solution File: SYN728-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN728-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n009.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 02:54:16 EDT 2022

% Result   : Unsatisfiable 0.43s 1.06s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN728-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.33  % Computer : n009.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 04:25:52 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.43/1.06  *** allocated 10000 integers for termspace/termends
% 0.43/1.06  *** allocated 10000 integers for clauses
% 0.43/1.06  *** allocated 10000 integers for justifications
% 0.43/1.06  Bliksem 1.12
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Automatic Strategy Selection
% 0.43/1.06  
% 0.43/1.06  Clauses:
% 0.43/1.06  [
% 0.43/1.06     [ p( X, X ), ~( p( Y, Z ) ) ],
% 0.43/1.06     [ m( X ), p( X, sk1( X ) ) ],
% 0.43/1.06     [ q( f( X, sk1( X ) ) ), p( X, sk1( X ) ) ],
% 0.43/1.06     [ ~( m( g( X ) ) ), ~( q( X ) ) ],
% 0.43/1.06     [ ~( p( sk2, sk2 ) ), ~( p( g( sk2 ), X ) ) ]
% 0.43/1.06  ] .
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  percentage equality = 0.000000, percentage horn = 0.600000
% 0.43/1.06  This a non-horn, non-equality problem
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Options Used:
% 0.43/1.06  
% 0.43/1.06  useres =            1
% 0.43/1.06  useparamod =        0
% 0.43/1.06  useeqrefl =         0
% 0.43/1.06  useeqfact =         0
% 0.43/1.06  usefactor =         1
% 0.43/1.06  usesimpsplitting =  0
% 0.43/1.06  usesimpdemod =      0
% 0.43/1.06  usesimpres =        3
% 0.43/1.06  
% 0.43/1.06  resimpinuse      =  1000
% 0.43/1.06  resimpclauses =     20000
% 0.43/1.06  substype =          standard
% 0.43/1.06  backwardsubs =      1
% 0.43/1.06  selectoldest =      5
% 0.43/1.06  
% 0.43/1.06  litorderings [0] =  split
% 0.43/1.06  litorderings [1] =  liftord
% 0.43/1.06  
% 0.43/1.06  termordering =      none
% 0.43/1.06  
% 0.43/1.06  litapriori =        1
% 0.43/1.06  termapriori =       0
% 0.43/1.06  litaposteriori =    0
% 0.43/1.06  termaposteriori =   0
% 0.43/1.06  demodaposteriori =  0
% 0.43/1.06  ordereqreflfact =   0
% 0.43/1.06  
% 0.43/1.06  litselect =         none
% 0.43/1.06  
% 0.43/1.06  maxweight =         15
% 0.43/1.06  maxdepth =          30000
% 0.43/1.06  maxlength =         115
% 0.43/1.06  maxnrvars =         195
% 0.43/1.06  excuselevel =       1
% 0.43/1.06  increasemaxweight = 1
% 0.43/1.06  
% 0.43/1.06  maxselected =       10000000
% 0.43/1.06  maxnrclauses =      10000000
% 0.43/1.06  
% 0.43/1.06  showgenerated =    0
% 0.43/1.06  showkept =         0
% 0.43/1.06  showselected =     0
% 0.43/1.06  showdeleted =      0
% 0.43/1.06  showresimp =       1
% 0.43/1.06  showstatus =       2000
% 0.43/1.06  
% 0.43/1.06  prologoutput =     1
% 0.43/1.06  nrgoals =          5000000
% 0.43/1.06  totalproof =       1
% 0.43/1.06  
% 0.43/1.06  Symbols occurring in the translation:
% 0.43/1.06  
% 0.43/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.06  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.43/1.06  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.43/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.06  p  [40, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.43/1.06  m  [43, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.43/1.06  sk1  [44, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.43/1.06  f  [45, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.43/1.06  q  [46, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.43/1.06  g  [47, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.43/1.06  sk2  [48, 0]      (w:1, o:5, a:1, s:1, b:0).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Starting Search:
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Bliksems!, er is een bewijs:
% 0.43/1.06  % SZS status Unsatisfiable
% 0.43/1.06  % SZS output start Refutation
% 0.43/1.06  
% 0.43/1.06  clause( 0, [ ~( p( Y, Z ) ), p( X, X ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 1, [ m( X ), p( X, sk1( X ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 2, [ q( f( X, sk1( X ) ) ), p( X, sk1( X ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 3, [ ~( m( g( X ) ) ), ~( q( X ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 4, [ ~( p( g( sk2 ), X ) ), ~( p( sk2, sk2 ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 5, [ m( X ), p( Y, Y ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 8, [ ~( p( X, Y ) ), ~( p( sk2, sk2 ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 11, [ ~( p( sk2, sk2 ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 13, [ m( X ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 14, [ ~( p( X, Y ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 15, [ q( f( X, sk1( X ) ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 16, [] )
% 0.43/1.06  .
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  % SZS output end Refutation
% 0.43/1.06  found a proof!
% 0.43/1.06  
% 0.43/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.06  
% 0.43/1.06  initialclauses(
% 0.43/1.06  [ clause( 18, [ p( X, X ), ~( p( Y, Z ) ) ] )
% 0.43/1.06  , clause( 19, [ m( X ), p( X, sk1( X ) ) ] )
% 0.43/1.06  , clause( 20, [ q( f( X, sk1( X ) ) ), p( X, sk1( X ) ) ] )
% 0.43/1.06  , clause( 21, [ ~( m( g( X ) ) ), ~( q( X ) ) ] )
% 0.43/1.06  , clause( 22, [ ~( p( sk2, sk2 ) ), ~( p( g( sk2 ), X ) ) ] )
% 0.43/1.06  ] ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 0, [ ~( p( Y, Z ) ), p( X, X ) ] )
% 0.43/1.06  , clause( 18, [ p( X, X ), ~( p( Y, Z ) ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.43/1.06    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 1, [ m( X ), p( X, sk1( X ) ) ] )
% 0.43/1.06  , clause( 19, [ m( X ), p( X, sk1( X ) ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.43/1.06    1 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 2, [ q( f( X, sk1( X ) ) ), p( X, sk1( X ) ) ] )
% 0.43/1.06  , clause( 20, [ q( f( X, sk1( X ) ) ), p( X, sk1( X ) ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.43/1.06    1 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 3, [ ~( m( g( X ) ) ), ~( q( X ) ) ] )
% 0.43/1.06  , clause( 21, [ ~( m( g( X ) ) ), ~( q( X ) ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.43/1.06    1 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 4, [ ~( p( g( sk2 ), X ) ), ~( p( sk2, sk2 ) ) ] )
% 0.43/1.06  , clause( 22, [ ~( p( sk2, sk2 ) ), ~( p( g( sk2 ), X ) ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.43/1.06    0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  resolution(
% 0.43/1.06  clause( 23, [ p( Y, Y ), m( X ) ] )
% 0.43/1.06  , clause( 0, [ ~( p( Y, Z ) ), p( X, X ) ] )
% 0.43/1.06  , 0, clause( 1, [ m( X ), p( X, sk1( X ) ) ] )
% 0.43/1.06  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, sk1( X ) )] ), 
% 0.43/1.06    substitution( 1, [ :=( X, X )] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 5, [ m( X ), p( Y, Y ) ] )
% 0.43/1.06  , clause( 23, [ p( Y, Y ), m( X ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.43/1.06     ), ==>( 1, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  resolution(
% 0.43/1.06  clause( 24, [ ~( p( sk2, sk2 ) ), ~( p( X, Y ) ) ] )
% 0.43/1.06  , clause( 4, [ ~( p( g( sk2 ), X ) ), ~( p( sk2, sk2 ) ) ] )
% 0.43/1.06  , 0, clause( 0, [ ~( p( Y, Z ) ), p( X, X ) ] )
% 0.43/1.06  , 1, substitution( 0, [ :=( X, g( sk2 ) )] ), substitution( 1, [ :=( X, g( 
% 0.43/1.06    sk2 ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 8, [ ~( p( X, Y ) ), ~( p( sk2, sk2 ) ) ] )
% 0.43/1.06  , clause( 24, [ ~( p( sk2, sk2 ) ), ~( p( X, Y ) ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.43/1.06     ), ==>( 1, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  factor(
% 0.43/1.06  clause( 28, [ ~( p( sk2, sk2 ) ) ] )
% 0.43/1.06  , clause( 8, [ ~( p( X, Y ) ), ~( p( sk2, sk2 ) ) ] )
% 0.43/1.07  , 0, 1, substitution( 0, [ :=( X, sk2 ), :=( Y, sk2 )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 11, [ ~( p( sk2, sk2 ) ) ] )
% 0.43/1.07  , clause( 28, [ ~( p( sk2, sk2 ) ) ] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 29, [ m( X ) ] )
% 0.43/1.07  , clause( 11, [ ~( p( sk2, sk2 ) ) ] )
% 0.43/1.07  , 0, clause( 5, [ m( X ), p( Y, Y ) ] )
% 0.43/1.07  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, sk2 )] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 13, [ m( X ) ] )
% 0.43/1.07  , clause( 29, [ m( X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 30, [ ~( p( X, Y ) ) ] )
% 0.43/1.07  , clause( 11, [ ~( p( sk2, sk2 ) ) ] )
% 0.43/1.07  , 0, clause( 0, [ ~( p( Y, Z ) ), p( X, X ) ] )
% 0.43/1.07  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 ), :=( Y, X ), 
% 0.43/1.07    :=( Z, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 14, [ ~( p( X, Y ) ) ] )
% 0.43/1.07  , clause( 30, [ ~( p( X, Y ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 31, [ q( f( X, sk1( X ) ) ) ] )
% 0.43/1.07  , clause( 14, [ ~( p( X, Y ) ) ] )
% 0.43/1.07  , 0, clause( 2, [ q( f( X, sk1( X ) ) ), p( X, sk1( X ) ) ] )
% 0.43/1.07  , 1, substitution( 0, [ :=( X, X ), :=( Y, sk1( X ) )] ), substitution( 1
% 0.43/1.07    , [ :=( X, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 15, [ q( f( X, sk1( X ) ) ) ] )
% 0.43/1.07  , clause( 31, [ q( f( X, sk1( X ) ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 32, [ ~( m( g( f( X, sk1( X ) ) ) ) ) ] )
% 0.43/1.07  , clause( 3, [ ~( m( g( X ) ) ), ~( q( X ) ) ] )
% 0.43/1.07  , 1, clause( 15, [ q( f( X, sk1( X ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, f( X, sk1( X ) ) )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 33, [] )
% 0.43/1.07  , clause( 32, [ ~( m( g( f( X, sk1( X ) ) ) ) ) ] )
% 0.43/1.07  , 0, clause( 13, [ m( X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, g( f( X, 
% 0.43/1.07    sk1( X ) ) ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 16, [] )
% 0.43/1.07  , clause( 33, [] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  end.
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  Memory use:
% 0.43/1.07  
% 0.43/1.07  space for terms:        214
% 0.43/1.07  space for clauses:      763
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  clauses generated:      25
% 0.43/1.07  clauses kept:           17
% 0.43/1.07  clauses selected:       10
% 0.43/1.07  clauses deleted:        2
% 0.43/1.07  clauses inuse deleted:  0
% 0.43/1.07  
% 0.43/1.07  subsentry:          19
% 0.43/1.07  literals s-matched: 10
% 0.43/1.07  literals matched:   10
% 0.43/1.07  full subsumption:   0
% 0.43/1.07  
% 0.43/1.07  checksum:           1074058198
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksem ended
%------------------------------------------------------------------------------