TSTP Solution File: COM009-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.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 00:51:03 EDT 2022

% Result   : Unsatisfiable 0.70s 1.11s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Thu Jun 16 17:50:49 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.70/1.11  *** allocated 10000 integers for termspace/termends
% 0.70/1.11  *** allocated 10000 integers for clauses
% 0.70/1.11  *** allocated 10000 integers for justifications
% 0.70/1.11  Bliksem 1.12
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  Automatic Strategy Selection
% 0.70/1.11  
% 0.70/1.11  Clauses:
% 0.70/1.11  [
% 0.70/1.11     [ ~( =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ), ~( 
% 0.70/1.11    'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ],
% 0.70/1.11     [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ), =( 'c_UNITY_Ototalize'( 'v_F', 
% 0.70/1.11    't_a' ), 'v_F' ) ],
% 0.70/1.11     [ ~( 'c_UNITY_Oall__total'( X, Y ) ), =( 'c_UNITY_Ototalize'( X, Y ), X
% 0.70/1.11     ) ],
% 0.70/1.11     [ 'c_UNITY_Oall__total'( 'c_UNITY_Ototalize'( X, Y ), Y ) ]
% 0.70/1.11  ] .
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  percentage equality = 0.428571, percentage horn = 0.750000
% 0.70/1.11  This is a problem with some equality
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  Options Used:
% 0.70/1.11  
% 0.70/1.11  useres =            1
% 0.70/1.11  useparamod =        1
% 0.70/1.11  useeqrefl =         1
% 0.70/1.11  useeqfact =         1
% 0.70/1.11  usefactor =         1
% 0.70/1.11  usesimpsplitting =  0
% 0.70/1.11  usesimpdemod =      5
% 0.70/1.11  usesimpres =        3
% 0.70/1.11  
% 0.70/1.11  resimpinuse      =  1000
% 0.70/1.11  resimpclauses =     20000
% 0.70/1.11  substype =          eqrewr
% 0.70/1.11  backwardsubs =      1
% 0.70/1.11  selectoldest =      5
% 0.70/1.11  
% 0.70/1.11  litorderings [0] =  split
% 0.70/1.11  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.70/1.11  
% 0.70/1.11  termordering =      kbo
% 0.70/1.11  
% 0.70/1.11  litapriori =        0
% 0.70/1.11  termapriori =       1
% 0.70/1.11  litaposteriori =    0
% 0.70/1.11  termaposteriori =   0
% 0.70/1.11  demodaposteriori =  0
% 0.70/1.11  ordereqreflfact =   0
% 0.70/1.11  
% 0.70/1.11  litselect =         negord
% 0.70/1.11  
% 0.70/1.11  maxweight =         15
% 0.70/1.11  maxdepth =          30000
% 0.70/1.11  maxlength =         115
% 0.70/1.11  maxnrvars =         195
% 0.70/1.11  excuselevel =       1
% 0.70/1.11  increasemaxweight = 1
% 0.70/1.11  
% 0.70/1.11  maxselected =       10000000
% 0.70/1.11  maxnrclauses =      10000000
% 0.70/1.11  
% 0.70/1.11  showgenerated =    0
% 0.70/1.11  showkept =         0
% 0.70/1.11  showselected =     0
% 0.70/1.11  showdeleted =      0
% 0.70/1.11  showresimp =       1
% 0.70/1.11  showstatus =       2000
% 0.70/1.11  
% 0.70/1.11  prologoutput =     1
% 0.70/1.11  nrgoals =          5000000
% 0.70/1.11  totalproof =       1
% 0.70/1.11  
% 0.70/1.11  Symbols occurring in the translation:
% 0.70/1.11  
% 0.70/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.70/1.11  .  [1, 2]      (w:1, o:18, a:1, s:1, b:0), 
% 0.70/1.11  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.70/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.11  'v_F'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.70/1.11  't_a'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.70/1.11  'c_UNITY_Ototalize'  [41, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.70/1.11  'c_UNITY_Oall__total'  [42, 2]      (w:1, o:44, a:1, s:1, b:0).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  Starting Search:
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  Bliksems!, er is een bewijs:
% 0.70/1.11  % SZS status Unsatisfiable
% 0.70/1.11  % SZS output start Refutation
% 0.70/1.11  
% 0.70/1.11  clause( 0, [ ~( =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ), ~( 
% 0.70/1.11    'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ] )
% 0.70/1.11  .
% 0.70/1.11  clause( 1, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ), =( 'c_UNITY_Ototalize'( 
% 0.70/1.11    'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  .
% 0.70/1.11  clause( 2, [ ~( 'c_UNITY_Oall__total'( X, Y ) ), =( 'c_UNITY_Ototalize'( X
% 0.70/1.11    , Y ), X ) ] )
% 0.70/1.11  .
% 0.70/1.11  clause( 3, [ 'c_UNITY_Oall__total'( 'c_UNITY_Ototalize'( X, Y ), Y ) ] )
% 0.70/1.11  .
% 0.70/1.11  clause( 5, [ =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  .
% 0.70/1.11  clause( 6, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ) ] )
% 0.70/1.11  .
% 0.70/1.11  clause( 7, [] )
% 0.70/1.11  .
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  % SZS output end Refutation
% 0.70/1.11  found a proof!
% 0.70/1.11  
% 0.70/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.11  
% 0.70/1.11  initialclauses(
% 0.70/1.11  [ clause( 9, [ ~( =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ), ~( 
% 0.70/1.11    'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ] )
% 0.70/1.11  , clause( 10, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ), =( 
% 0.70/1.11    'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , clause( 11, [ ~( 'c_UNITY_Oall__total'( X, Y ) ), =( 'c_UNITY_Ototalize'( 
% 0.70/1.11    X, Y ), X ) ] )
% 0.70/1.11  , clause( 12, [ 'c_UNITY_Oall__total'( 'c_UNITY_Ototalize'( X, Y ), Y ) ]
% 0.70/1.11     )
% 0.70/1.11  ] ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 0, [ ~( =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ), ~( 
% 0.70/1.11    'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ] )
% 0.70/1.11  , clause( 9, [ ~( =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ), ~( 
% 0.70/1.11    'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ] )
% 0.70/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11     ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 1, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ), =( 'c_UNITY_Ototalize'( 
% 0.70/1.11    'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , clause( 10, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ), =( 
% 0.70/1.11    'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11     ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 2, [ ~( 'c_UNITY_Oall__total'( X, Y ) ), =( 'c_UNITY_Ototalize'( X
% 0.70/1.11    , Y ), X ) ] )
% 0.70/1.11  , clause( 11, [ ~( 'c_UNITY_Oall__total'( X, Y ) ), =( 'c_UNITY_Ototalize'( 
% 0.70/1.11    X, Y ), X ) ] )
% 0.70/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.11     ), ==>( 1, 1 )] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 3, [ 'c_UNITY_Oall__total'( 'c_UNITY_Ototalize'( X, Y ), Y ) ] )
% 0.70/1.11  , clause( 12, [ 'c_UNITY_Oall__total'( 'c_UNITY_Ototalize'( X, Y ), Y ) ]
% 0.70/1.11     )
% 0.70/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.11     )] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  eqswap(
% 0.70/1.11  clause( 23, [ =( X, 'c_UNITY_Ototalize'( X, Y ) ), ~( 'c_UNITY_Oall__total'( 
% 0.70/1.11    X, Y ) ) ] )
% 0.70/1.11  , clause( 2, [ ~( 'c_UNITY_Oall__total'( X, Y ) ), =( 'c_UNITY_Ototalize'( 
% 0.70/1.11    X, Y ), X ) ] )
% 0.70/1.11  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  resolution(
% 0.70/1.11  clause( 24, [ =( 'v_F', 'c_UNITY_Ototalize'( 'v_F', 't_a' ) ), =( 
% 0.70/1.11    'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , clause( 23, [ =( X, 'c_UNITY_Ototalize'( X, Y ) ), ~( 
% 0.70/1.11    'c_UNITY_Oall__total'( X, Y ) ) ] )
% 0.70/1.11  , 1, clause( 1, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ), =( 
% 0.70/1.11    'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , 0, substitution( 0, [ :=( X, 'v_F' ), :=( Y, 't_a' )] ), substitution( 1
% 0.70/1.11    , [] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  eqswap(
% 0.70/1.11  clause( 25, [ =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ), =( 
% 0.70/1.11    'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , clause( 24, [ =( 'v_F', 'c_UNITY_Ototalize'( 'v_F', 't_a' ) ), =( 
% 0.70/1.11    'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , 0, substitution( 0, [] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  factor(
% 0.70/1.11  clause( 27, [ =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , clause( 25, [ =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ), =( 
% 0.70/1.11    'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , 0, 1, substitution( 0, [] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 5, [ =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , clause( 27, [ =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  paramod(
% 0.70/1.11  clause( 30, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ) ] )
% 0.70/1.11  , clause( 5, [ =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ] )
% 0.70/1.11  , 0, clause( 3, [ 'c_UNITY_Oall__total'( 'c_UNITY_Ototalize'( X, Y ), Y ) ]
% 0.70/1.11     )
% 0.70/1.11  , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_F' ), :=( Y, 
% 0.70/1.11    't_a' )] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 6, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ) ] )
% 0.70/1.11  , clause( 30, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ) ] )
% 0.70/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  paramod(
% 0.70/1.11  clause( 33, [ ~( =( 'v_F', 'v_F' ) ), ~( 'c_UNITY_Oall__total'( 'v_F', 
% 0.70/1.11    't_a' ) ), ~( 'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ] )
% 0.70/1.11  , clause( 2, [ ~( 'c_UNITY_Oall__total'( X, Y ) ), =( 'c_UNITY_Ototalize'( 
% 0.70/1.11    X, Y ), X ) ] )
% 0.70/1.11  , 1, clause( 0, [ ~( =( 'c_UNITY_Ototalize'( 'v_F', 't_a' ), 'v_F' ) ), ~( 
% 0.70/1.11    'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ] )
% 0.70/1.11  , 0, 2, substitution( 0, [ :=( X, 'v_F' ), :=( Y, 't_a' )] ), 
% 0.70/1.11    substitution( 1, [] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  factor(
% 0.70/1.11  clause( 34, [ ~( =( 'v_F', 'v_F' ) ), ~( 'c_UNITY_Oall__total'( 'v_F', 
% 0.70/1.11    't_a' ) ) ] )
% 0.70/1.11  , clause( 33, [ ~( =( 'v_F', 'v_F' ) ), ~( 'c_UNITY_Oall__total'( 'v_F', 
% 0.70/1.11    't_a' ) ), ~( 'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ] )
% 0.70/1.11  , 1, 2, substitution( 0, [] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  eqrefl(
% 0.70/1.11  clause( 35, [ ~( 'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ] )
% 0.70/1.11  , clause( 34, [ ~( =( 'v_F', 'v_F' ) ), ~( 'c_UNITY_Oall__total'( 'v_F', 
% 0.70/1.11    't_a' ) ) ] )
% 0.70/1.11  , 0, substitution( 0, [] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  resolution(
% 0.70/1.11  clause( 36, [] )
% 0.70/1.11  , clause( 35, [ ~( 'c_UNITY_Oall__total'( 'v_F', 't_a' ) ) ] )
% 0.70/1.11  , 0, clause( 6, [ 'c_UNITY_Oall__total'( 'v_F', 't_a' ) ] )
% 0.70/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  subsumption(
% 0.70/1.11  clause( 7, [] )
% 0.70/1.11  , clause( 36, [] )
% 0.70/1.11  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  end.
% 0.70/1.11  
% 0.70/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.11  
% 0.70/1.11  Memory use:
% 0.70/1.11  
% 0.70/1.11  space for terms:        142
% 0.70/1.11  space for clauses:      622
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  clauses generated:      16
% 0.70/1.11  clauses kept:           8
% 0.70/1.11  clauses selected:       4
% 0.70/1.11  clauses deleted:        2
% 0.70/1.11  clauses inuse deleted:  0
% 0.70/1.11  
% 0.70/1.11  subsentry:          77
% 0.70/1.11  literals s-matched: 36
% 0.70/1.11  literals matched:   36
% 0.70/1.11  full subsumption:   0
% 0.70/1.11  
% 0.70/1.11  checksum:           459118
% 0.70/1.11  
% 0.70/1.11  
% 0.70/1.11  Bliksem ended
%------------------------------------------------------------------------------