TSTP Solution File: COL050-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL050-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n032.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 : Fri Jul 15 00:12:29 EDT 2022

% Result   : Unsatisfiable 0.48s 0.89s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : COL050-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.10  % Command  : bliksem %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % DateTime : Tue May 31 07:21:43 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.48/0.89  *** allocated 10000 integers for termspace/termends
% 0.48/0.89  *** allocated 10000 integers for clauses
% 0.48/0.89  *** allocated 10000 integers for justifications
% 0.48/0.89  Bliksem 1.12
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  Automatic Strategy Selection
% 0.48/0.89  
% 0.48/0.89  Clauses:
% 0.48/0.89  [
% 0.48/0.89     [ =( response( 'mocking_bird', X ), response( X, X ) ) ],
% 0.48/0.89     [ =( response( compose( X, Y ), Z ), response( X, response( Y, Z ) ) ) ]
% 0.48/0.89    ,
% 0.48/0.89     [ ~( =( response( a, X ), X ) ) ]
% 0.48/0.89  ] .
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  percentage equality = 1.000000, percentage horn = 1.000000
% 0.48/0.89  This is a pure equality problem
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  Options Used:
% 0.48/0.89  
% 0.48/0.89  useres =            1
% 0.48/0.89  useparamod =        1
% 0.48/0.89  useeqrefl =         1
% 0.48/0.89  useeqfact =         1
% 0.48/0.89  usefactor =         1
% 0.48/0.89  usesimpsplitting =  0
% 0.48/0.89  usesimpdemod =      5
% 0.48/0.89  usesimpres =        3
% 0.48/0.89  
% 0.48/0.89  resimpinuse      =  1000
% 0.48/0.89  resimpclauses =     20000
% 0.48/0.89  substype =          eqrewr
% 0.48/0.89  backwardsubs =      1
% 0.48/0.89  selectoldest =      5
% 0.48/0.89  
% 0.48/0.89  litorderings [0] =  split
% 0.48/0.89  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.48/0.89  
% 0.48/0.89  termordering =      kbo
% 0.48/0.89  
% 0.48/0.89  litapriori =        0
% 0.48/0.89  termapriori =       1
% 0.48/0.89  litaposteriori =    0
% 0.48/0.89  termaposteriori =   0
% 0.48/0.89  demodaposteriori =  0
% 0.48/0.89  ordereqreflfact =   0
% 0.48/0.89  
% 0.48/0.89  litselect =         negord
% 0.48/0.89  
% 0.48/0.89  maxweight =         15
% 0.48/0.89  maxdepth =          30000
% 0.48/0.89  maxlength =         115
% 0.48/0.89  maxnrvars =         195
% 0.48/0.89  excuselevel =       1
% 0.48/0.89  increasemaxweight = 1
% 0.48/0.89  
% 0.48/0.89  maxselected =       10000000
% 0.48/0.89  maxnrclauses =      10000000
% 0.48/0.89  
% 0.48/0.89  showgenerated =    0
% 0.48/0.89  showkept =         0
% 0.48/0.89  showselected =     0
% 0.48/0.89  showdeleted =      0
% 0.48/0.89  showresimp =       1
% 0.48/0.89  showstatus =       2000
% 0.48/0.89  
% 0.48/0.89  prologoutput =     1
% 0.48/0.89  nrgoals =          5000000
% 0.48/0.89  totalproof =       1
% 0.48/0.89  
% 0.48/0.89  Symbols occurring in the translation:
% 0.48/0.89  
% 0.48/0.89  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.48/0.89  .  [1, 2]      (w:1, o:19, a:1, s:1, b:0), 
% 0.48/0.89  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.48/0.89  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.48/0.89  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.48/0.89  'mocking_bird'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.48/0.89  response  [41, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 0.48/0.89  compose  [43, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.48/0.89  a  [45, 0]      (w:1, o:13, a:1, s:1, b:0).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  Starting Search:
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  Bliksems!, er is een bewijs:
% 0.48/0.89  % SZS status Unsatisfiable
% 0.48/0.89  % SZS output start Refutation
% 0.48/0.89  
% 0.48/0.89  clause( 0, [ =( response( 'mocking_bird', X ), response( X, X ) ) ] )
% 0.48/0.89  .
% 0.48/0.89  clause( 1, [ =( response( X, response( Y, Z ) ), response( compose( X, Y )
% 0.48/0.89    , Z ) ) ] )
% 0.48/0.89  .
% 0.48/0.89  clause( 2, [ ~( =( response( a, X ), X ) ) ] )
% 0.48/0.89  .
% 0.48/0.89  clause( 7, [ ~( =( response( compose( a, X ), Y ), response( X, Y ) ) ) ]
% 0.48/0.89     )
% 0.48/0.89  .
% 0.48/0.89  clause( 9, [ ~( =( response( 'mocking_bird', compose( a, X ) ), response( X
% 0.48/0.89    , compose( a, X ) ) ) ) ] )
% 0.48/0.89  .
% 0.48/0.89  clause( 10, [] )
% 0.48/0.89  .
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  % SZS output end Refutation
% 0.48/0.89  found a proof!
% 0.48/0.89  
% 0.48/0.89  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/0.89  
% 0.48/0.89  initialclauses(
% 0.48/0.89  [ clause( 12, [ =( response( 'mocking_bird', X ), response( X, X ) ) ] )
% 0.48/0.89  , clause( 13, [ =( response( compose( X, Y ), Z ), response( X, response( Y
% 0.48/0.89    , Z ) ) ) ] )
% 0.48/0.89  , clause( 14, [ ~( =( response( a, X ), X ) ) ] )
% 0.48/0.89  ] ).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  subsumption(
% 0.48/0.89  clause( 0, [ =( response( 'mocking_bird', X ), response( X, X ) ) ] )
% 0.48/0.89  , clause( 12, [ =( response( 'mocking_bird', X ), response( X, X ) ) ] )
% 0.48/0.89  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  eqswap(
% 0.48/0.89  clause( 17, [ =( response( X, response( Y, Z ) ), response( compose( X, Y )
% 0.48/0.89    , Z ) ) ] )
% 0.48/0.89  , clause( 13, [ =( response( compose( X, Y ), Z ), response( X, response( Y
% 0.48/0.89    , Z ) ) ) ] )
% 0.48/0.89  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  subsumption(
% 0.48/0.89  clause( 1, [ =( response( X, response( Y, Z ) ), response( compose( X, Y )
% 0.48/0.89    , Z ) ) ] )
% 0.48/0.89  , clause( 17, [ =( response( X, response( Y, Z ) ), response( compose( X, Y
% 0.48/0.89     ), Z ) ) ] )
% 0.48/0.89  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.48/0.89    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  subsumption(
% 0.48/0.89  clause( 2, [ ~( =( response( a, X ), X ) ) ] )
% 0.48/0.89  , clause( 14, [ ~( =( response( a, X ), X ) ) ] )
% 0.48/0.89  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  eqswap(
% 0.48/0.89  clause( 22, [ ~( =( X, response( a, X ) ) ) ] )
% 0.48/0.89  , clause( 2, [ ~( =( response( a, X ), X ) ) ] )
% 0.48/0.89  , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  paramod(
% 0.48/0.89  clause( 23, [ ~( =( response( X, Y ), response( compose( a, X ), Y ) ) ) ]
% 0.48/0.89     )
% 0.48/0.89  , clause( 1, [ =( response( X, response( Y, Z ) ), response( compose( X, Y
% 0.48/0.89     ), Z ) ) ] )
% 0.48/0.89  , 0, clause( 22, [ ~( =( X, response( a, X ) ) ) ] )
% 0.48/0.89  , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y )] ), 
% 0.48/0.89    substitution( 1, [ :=( X, response( X, Y ) )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  eqswap(
% 0.48/0.89  clause( 24, [ ~( =( response( compose( a, X ), Y ), response( X, Y ) ) ) ]
% 0.48/0.89     )
% 0.48/0.89  , clause( 23, [ ~( =( response( X, Y ), response( compose( a, X ), Y ) ) )
% 0.48/0.89     ] )
% 0.48/0.89  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  subsumption(
% 0.48/0.89  clause( 7, [ ~( =( response( compose( a, X ), Y ), response( X, Y ) ) ) ]
% 0.48/0.89     )
% 0.48/0.89  , clause( 24, [ ~( =( response( compose( a, X ), Y ), response( X, Y ) ) )
% 0.48/0.89     ] )
% 0.48/0.89  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/0.89     )] ) ).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  eqswap(
% 0.48/0.89  clause( 25, [ =( response( X, X ), response( 'mocking_bird', X ) ) ] )
% 0.48/0.89  , clause( 0, [ =( response( 'mocking_bird', X ), response( X, X ) ) ] )
% 0.48/0.89  , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  eqswap(
% 0.48/0.89  clause( 26, [ ~( =( response( X, Y ), response( compose( a, X ), Y ) ) ) ]
% 0.48/0.89     )
% 0.48/0.89  , clause( 7, [ ~( =( response( compose( a, X ), Y ), response( X, Y ) ) ) ]
% 0.48/0.89     )
% 0.48/0.89  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  paramod(
% 0.48/0.89  clause( 28, [ ~( =( response( X, compose( a, X ) ), response( 
% 0.48/0.89    'mocking_bird', compose( a, X ) ) ) ) ] )
% 0.48/0.89  , clause( 25, [ =( response( X, X ), response( 'mocking_bird', X ) ) ] )
% 0.48/0.89  , 0, clause( 26, [ ~( =( response( X, Y ), response( compose( a, X ), Y ) )
% 0.48/0.89     ) ] )
% 0.48/0.89  , 0, 7, substitution( 0, [ :=( X, compose( a, X ) )] ), substitution( 1, [ 
% 0.48/0.89    :=( X, X ), :=( Y, compose( a, X ) )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  eqswap(
% 0.48/0.89  clause( 30, [ ~( =( response( 'mocking_bird', compose( a, X ) ), response( 
% 0.48/0.89    X, compose( a, X ) ) ) ) ] )
% 0.48/0.89  , clause( 28, [ ~( =( response( X, compose( a, X ) ), response( 
% 0.48/0.89    'mocking_bird', compose( a, X ) ) ) ) ] )
% 0.48/0.89  , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  subsumption(
% 0.48/0.89  clause( 9, [ ~( =( response( 'mocking_bird', compose( a, X ) ), response( X
% 0.48/0.89    , compose( a, X ) ) ) ) ] )
% 0.48/0.89  , clause( 30, [ ~( =( response( 'mocking_bird', compose( a, X ) ), response( 
% 0.48/0.89    X, compose( a, X ) ) ) ) ] )
% 0.48/0.89  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  eqswap(
% 0.48/0.89  clause( 31, [ ~( =( response( X, compose( a, X ) ), response( 
% 0.48/0.89    'mocking_bird', compose( a, X ) ) ) ) ] )
% 0.48/0.89  , clause( 9, [ ~( =( response( 'mocking_bird', compose( a, X ) ), response( 
% 0.48/0.89    X, compose( a, X ) ) ) ) ] )
% 0.48/0.89  , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  eqrefl(
% 0.48/0.89  clause( 32, [] )
% 0.48/0.89  , clause( 31, [ ~( =( response( X, compose( a, X ) ), response( 
% 0.48/0.89    'mocking_bird', compose( a, X ) ) ) ) ] )
% 0.48/0.89  , 0, substitution( 0, [ :=( X, 'mocking_bird' )] )).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  subsumption(
% 0.48/0.89  clause( 10, [] )
% 0.48/0.89  , clause( 32, [] )
% 0.48/0.89  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  end.
% 0.48/0.89  
% 0.48/0.89  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/0.89  
% 0.48/0.89  Memory use:
% 0.48/0.89  
% 0.48/0.89  space for terms:        172
% 0.48/0.89  space for clauses:      1173
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  clauses generated:      27
% 0.48/0.89  clauses kept:           11
% 0.48/0.89  clauses selected:       5
% 0.48/0.89  clauses deleted:        0
% 0.48/0.89  clauses inuse deleted:  0
% 0.48/0.89  
% 0.48/0.89  subsentry:          67
% 0.48/0.89  literals s-matched: 28
% 0.48/0.89  literals matched:   28
% 0.48/0.89  full subsumption:   0
% 0.48/0.89  
% 0.48/0.89  checksum:           -574859457
% 0.48/0.89  
% 0.48/0.89  
% 0.48/0.89  Bliksem ended
%------------------------------------------------------------------------------