TSTP Solution File: LCL226-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL226-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n018.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 : Sun Jul 17 07:51:57 EDT 2022

% Result   : Unsatisfiable 0.40s 1.07s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL226-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Sun Jul  3 06:13:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.40/1.07  *** allocated 10000 integers for termspace/termends
% 0.40/1.07  *** allocated 10000 integers for clauses
% 0.40/1.07  *** allocated 10000 integers for justifications
% 0.40/1.07  Bliksem 1.12
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  Automatic Strategy Selection
% 0.40/1.07  
% 0.40/1.07  Clauses:
% 0.40/1.07  [
% 0.40/1.07     [ axiom( or( not( or( X, X ) ), X ) ) ],
% 0.40/1.07     [ axiom( or( not( X ), or( Y, X ) ) ) ],
% 0.40/1.07     [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ],
% 0.40/1.07     [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) ) ],
% 0.40/1.07     [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or( Z, Y )
% 0.40/1.07     ) ) ) ],
% 0.40/1.07     [ theorem( X ), ~( axiom( X ) ) ],
% 0.40/1.07     [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( Y ) ) ]
% 0.40/1.07    ,
% 0.40/1.07     [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z ) ) ), ~( 
% 0.40/1.07    theorem( or( not( Z ), Y ) ) ) ],
% 0.40/1.07     [ ~( theorem( or( not( or( q, r ) ), or( not( or( not( r ), s ) ), or( q
% 0.40/1.07    , s ) ) ) ) ) ]
% 0.40/1.07  ] .
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  percentage equality = 0.000000, percentage horn = 1.000000
% 0.40/1.07  This is a near-Horn, non-equality  problem
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  Options Used:
% 0.40/1.07  
% 0.40/1.07  useres =            1
% 0.40/1.07  useparamod =        0
% 0.40/1.07  useeqrefl =         0
% 0.40/1.07  useeqfact =         0
% 0.40/1.07  usefactor =         1
% 0.40/1.07  usesimpsplitting =  0
% 0.40/1.07  usesimpdemod =      0
% 0.40/1.07  usesimpres =        4
% 0.40/1.07  
% 0.40/1.07  resimpinuse      =  1000
% 0.40/1.07  resimpclauses =     20000
% 0.40/1.07  substype =          standard
% 0.40/1.07  backwardsubs =      1
% 0.40/1.07  selectoldest =      5
% 0.40/1.07  
% 0.40/1.07  litorderings [0] =  split
% 0.40/1.07  litorderings [1] =  liftord
% 0.40/1.07  
% 0.40/1.07  termordering =      none
% 0.40/1.07  
% 0.40/1.07  litapriori =        1
% 0.40/1.07  termapriori =       0
% 0.40/1.07  litaposteriori =    0
% 0.40/1.07  termaposteriori =   0
% 0.40/1.07  demodaposteriori =  0
% 0.40/1.07  ordereqreflfact =   0
% 0.40/1.07  
% 0.40/1.07  litselect =         negative
% 0.40/1.07  
% 0.40/1.07  maxweight =         30000
% 0.40/1.07  maxdepth =          30000
% 0.40/1.07  maxlength =         115
% 0.40/1.07  maxnrvars =         195
% 0.40/1.07  excuselevel =       0
% 0.40/1.07  increasemaxweight = 0
% 0.40/1.07  
% 0.40/1.07  maxselected =       10000000
% 0.40/1.07  maxnrclauses =      10000000
% 0.40/1.07  
% 0.40/1.07  showgenerated =    0
% 0.40/1.07  showkept =         0
% 0.40/1.07  showselected =     0
% 0.40/1.07  showdeleted =      0
% 0.40/1.07  showresimp =       1
% 0.40/1.07  showstatus =       2000
% 0.40/1.07  
% 0.40/1.07  prologoutput =     1
% 0.40/1.07  nrgoals =          5000000
% 0.40/1.07  totalproof =       1
% 0.40/1.07  
% 0.40/1.07  Symbols occurring in the translation:
% 0.40/1.07  
% 0.40/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.40/1.07  .  [1, 2]      (w:1, o:26, a:1, s:1, b:0), 
% 0.40/1.07  !  [4, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.40/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.40/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.40/1.07  or  [40, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.40/1.07  not  [41, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.40/1.07  axiom  [42, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.40/1.07  theorem  [46, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.40/1.07  q  [49, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.40/1.07  r  [50, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.40/1.07  s  [51, 0]      (w:1, o:5, a:1, s:1, b:0).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  Starting Search:
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  Bliksems!, er is een bewijs:
% 0.40/1.07  % SZS status Unsatisfiable
% 0.40/1.07  % SZS output start Refutation
% 0.40/1.07  
% 0.40/1.07  clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 0.40/1.07     ] )
% 0.40/1.07  .
% 0.40/1.07  clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or( 
% 0.40/1.07    Z, Y ) ) ) ) ] )
% 0.40/1.07  .
% 0.40/1.07  clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.40/1.07  .
% 0.40/1.07  clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 0.40/1.07     ) ] )
% 0.40/1.07  .
% 0.40/1.07  clause( 8, [ ~( theorem( or( not( or( q, r ) ), or( not( or( not( r ), s )
% 0.40/1.07     ), or( q, s ) ) ) ) ) ] )
% 0.40/1.07  .
% 0.40/1.07  clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 0.40/1.07     ) ) ) ] )
% 0.40/1.07  .
% 0.40/1.07  clause( 28, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) )
% 0.40/1.07    , or( Z, Y ) ) ) ) ] )
% 0.40/1.07  .
% 0.40/1.07  clause( 100, [ theorem( or( not( or( X, Y ) ), or( not( or( not( Y ), Z ) )
% 0.40/1.07    , or( X, Z ) ) ) ) ] )
% 0.40/1.07  .
% 0.40/1.07  clause( 760, [] )
% 0.40/1.07  .
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  % SZS output end Refutation
% 0.40/1.07  found a proof!
% 0.40/1.07  
% 0.40/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.07  
% 0.40/1.07  initialclauses(
% 0.40/1.07  [ clause( 762, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 0.40/1.07  , clause( 763, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 0.40/1.07  , clause( 764, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 0.40/1.07  , clause( 765, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) )
% 0.40/1.07     ) ) ] )
% 0.40/1.07  , clause( 766, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) )
% 0.40/1.07    , or( Z, Y ) ) ) ) ] )
% 0.40/1.07  , clause( 767, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.40/1.07  , clause( 768, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( 
% 0.40/1.07    Y ) ) ] )
% 0.40/1.07  , clause( 769, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z )
% 0.40/1.07     ) ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 0.40/1.07  , clause( 770, [ ~( theorem( or( not( or( q, r ) ), or( not( or( not( r ), 
% 0.40/1.07    s ) ), or( q, s ) ) ) ) ) ] )
% 0.40/1.07  ] ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  subsumption(
% 0.40/1.07  clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 0.40/1.07     ] )
% 0.40/1.07  , clause( 765, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) )
% 0.40/1.07     ) ) ] )
% 0.40/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.40/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  subsumption(
% 0.40/1.07  clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or( 
% 0.40/1.07    Z, Y ) ) ) ) ] )
% 0.40/1.07  , clause( 766, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) )
% 0.40/1.07    , or( Z, Y ) ) ) ) ] )
% 0.40/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.40/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  subsumption(
% 0.40/1.07  clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.40/1.07  , clause( 767, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.40/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.40/1.07    1 )] ) ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  subsumption(
% 0.40/1.07  clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 0.40/1.07     ) ] )
% 0.40/1.07  , clause( 768, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( 
% 0.40/1.07    Y ) ) ] )
% 0.40/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.07     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  subsumption(
% 0.40/1.07  clause( 8, [ ~( theorem( or( not( or( q, r ) ), or( not( or( not( r ), s )
% 0.40/1.07     ), or( q, s ) ) ) ) ) ] )
% 0.40/1.07  , clause( 770, [ ~( theorem( or( not( or( q, r ) ), or( not( or( not( r ), 
% 0.40/1.07    s ) ), or( q, s ) ) ) ) ) ] )
% 0.40/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  resolution(
% 0.40/1.07  clause( 771, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 0.40/1.07     ) ) ) ) ] )
% 0.40/1.07  , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 0.40/1.07     ) ) ] )
% 0.40/1.07  , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 0.40/1.07     ) ) ) ] )
% 0.40/1.07  , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, or( Y, or( X, 
% 0.40/1.07    Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  subsumption(
% 0.40/1.07  clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 0.40/1.07     ) ) ) ] )
% 0.40/1.07  , clause( 771, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, 
% 0.40/1.07    Z ) ) ) ) ] )
% 0.40/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.40/1.07    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  resolution(
% 0.40/1.07  clause( 772, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) )
% 0.40/1.07    , or( Z, Y ) ) ) ) ] )
% 0.40/1.07  , clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.40/1.07  , 1, clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 0.40/1.07     ), or( Z, Y ) ) ) ) ] )
% 0.40/1.07  , 0, substitution( 0, [ :=( X, or( not( or( not( X ), Y ) ), or( not( or( Z
% 0.40/1.07    , X ) ), or( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), 
% 0.40/1.07    :=( Z, Z )] )).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  subsumption(
% 0.40/1.07  clause( 28, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) )
% 0.40/1.07    , or( Z, Y ) ) ) ) ] )
% 0.40/1.07  , clause( 772, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 0.40/1.07     ), or( Z, Y ) ) ) ) ] )
% 0.40/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.40/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  resolution(
% 0.40/1.07  clause( 773, [ theorem( or( not( or( X, Y ) ), or( not( or( not( Y ), Z ) )
% 0.40/1.07    , or( X, Z ) ) ) ) ] )
% 0.40/1.07  , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 0.40/1.07     ) ) ) ) ] )
% 0.40/1.07  , 1, clause( 28, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( Z, X
% 0.40/1.07     ) ), or( Z, Y ) ) ) ) ] )
% 0.40/1.07  , 0, substitution( 0, [ :=( X, not( or( X, Y ) ) ), :=( Y, not( or( not( Y
% 0.40/1.07     ), Z ) ) ), :=( Z, or( X, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.40/1.07    , Z ), :=( Z, X )] )).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  subsumption(
% 0.40/1.07  clause( 100, [ theorem( or( not( or( X, Y ) ), or( not( or( not( Y ), Z ) )
% 0.40/1.07    , or( X, Z ) ) ) ) ] )
% 0.40/1.07  , clause( 773, [ theorem( or( not( or( X, Y ) ), or( not( or( not( Y ), Z )
% 0.40/1.07     ), or( X, Z ) ) ) ) ] )
% 0.40/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.40/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  resolution(
% 0.40/1.07  clause( 774, [] )
% 0.40/1.07  , clause( 8, [ ~( theorem( or( not( or( q, r ) ), or( not( or( not( r ), s
% 0.40/1.07     ) ), or( q, s ) ) ) ) ) ] )
% 0.40/1.07  , 0, clause( 100, [ theorem( or( not( or( X, Y ) ), or( not( or( not( Y ), 
% 0.40/1.07    Z ) ), or( X, Z ) ) ) ) ] )
% 0.40/1.07  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, q ), :=( Y, r ), :=( 
% 0.40/1.07    Z, s )] )).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  subsumption(
% 0.40/1.07  clause( 760, [] )
% 0.40/1.07  , clause( 774, [] )
% 0.40/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  end.
% 0.40/1.07  
% 0.40/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.07  
% 0.40/1.07  Memory use:
% 0.40/1.07  
% 0.40/1.07  space for terms:        10462
% 0.40/1.07  space for clauses:      57799
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  clauses generated:      1426
% 0.40/1.07  clauses kept:           761
% 0.40/1.07  clauses selected:       241
% 0.40/1.07  clauses deleted:        0
% 0.40/1.07  clauses inuse deleted:  0
% 0.40/1.07  
% 0.40/1.07  subsentry:          707
% 0.40/1.07  literals s-matched: 707
% 0.40/1.07  literals matched:   707
% 0.40/1.07  full subsumption:   0
% 0.40/1.07  
% 0.40/1.07  checksum:           1785585400
% 0.40/1.07  
% 0.40/1.07  
% 0.40/1.07  Bliksem ended
%------------------------------------------------------------------------------