TSTP Solution File: LCL172-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL172-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n005.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 07:51:13 EDT 2022

% Result   : Unsatisfiable 0.68s 1.09s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LCL172-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Sun Jul  3 19:58:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.68/1.09  *** allocated 10000 integers for termspace/termends
% 0.68/1.09  *** allocated 10000 integers for clauses
% 0.68/1.09  *** allocated 10000 integers for justifications
% 0.68/1.09  Bliksem 1.12
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Automatic Strategy Selection
% 0.68/1.09  
% 0.68/1.09  Clauses:
% 0.68/1.09  [
% 0.68/1.09     [ axiom( or( not( or( X, X ) ), X ) ) ],
% 0.68/1.09     [ axiom( or( not( X ), or( Y, X ) ) ) ],
% 0.68/1.09     [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ],
% 0.68/1.09     [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) ) ],
% 0.68/1.09     [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or( Z, Y )
% 0.68/1.09     ) ) ) ],
% 0.68/1.09     [ theorem( X ), ~( axiom( X ) ) ],
% 0.68/1.09     [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( Y ) ) ]
% 0.68/1.09    ,
% 0.68/1.09     [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z ) ) ), ~( 
% 0.68/1.09    theorem( or( not( Z ), Y ) ) ) ],
% 0.68/1.09     [ ~( theorem( or( not( or( not( p ), or( not( q ), r ) ) ), or( not( q )
% 0.68/1.09    , or( not( p ), r ) ) ) ) ) ]
% 0.68/1.09  ] .
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  percentage equality = 0.000000, percentage horn = 1.000000
% 0.68/1.09  This is a near-Horn, non-equality  problem
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Options Used:
% 0.68/1.09  
% 0.68/1.09  useres =            1
% 0.68/1.09  useparamod =        0
% 0.68/1.09  useeqrefl =         0
% 0.68/1.09  useeqfact =         0
% 0.68/1.09  usefactor =         1
% 0.68/1.09  usesimpsplitting =  0
% 0.68/1.09  usesimpdemod =      0
% 0.68/1.09  usesimpres =        4
% 0.68/1.09  
% 0.68/1.09  resimpinuse      =  1000
% 0.68/1.09  resimpclauses =     20000
% 0.68/1.09  substype =          standard
% 0.68/1.09  backwardsubs =      1
% 0.68/1.09  selectoldest =      5
% 0.68/1.09  
% 0.68/1.09  litorderings [0] =  split
% 0.68/1.09  litorderings [1] =  liftord
% 0.68/1.09  
% 0.68/1.09  termordering =      none
% 0.68/1.09  
% 0.68/1.09  litapriori =        1
% 0.68/1.09  termapriori =       0
% 0.68/1.09  litaposteriori =    0
% 0.68/1.09  termaposteriori =   0
% 0.68/1.09  demodaposteriori =  0
% 0.68/1.09  ordereqreflfact =   0
% 0.68/1.09  
% 0.68/1.09  litselect =         negative
% 0.68/1.09  
% 0.68/1.09  maxweight =         30000
% 0.68/1.09  maxdepth =          30000
% 0.68/1.09  maxlength =         115
% 0.68/1.09  maxnrvars =         195
% 0.68/1.09  excuselevel =       0
% 0.68/1.09  increasemaxweight = 0
% 0.68/1.09  
% 0.68/1.09  maxselected =       10000000
% 0.68/1.09  maxnrclauses =      10000000
% 0.68/1.09  
% 0.68/1.09  showgenerated =    0
% 0.68/1.09  showkept =         0
% 0.68/1.09  showselected =     0
% 0.68/1.09  showdeleted =      0
% 0.68/1.09  showresimp =       1
% 0.68/1.09  showstatus =       2000
% 0.68/1.09  
% 0.68/1.09  prologoutput =     1
% 0.68/1.09  nrgoals =          5000000
% 0.68/1.09  totalproof =       1
% 0.68/1.09  
% 0.68/1.09  Symbols occurring in the translation:
% 0.68/1.09  
% 0.68/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.68/1.09  .  [1, 2]      (w:1, o:26, a:1, s:1, b:0), 
% 0.68/1.09  !  [4, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.68/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.09  or  [40, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.68/1.09  not  [41, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.68/1.09  axiom  [42, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.68/1.09  theorem  [46, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.68/1.09  p  [49, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.68/1.09  q  [50, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.68/1.09  r  [51, 0]      (w:1, o:17, a:1, s:1, b:0).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Starting Search:
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Bliksems!, er is een bewijs:
% 0.68/1.09  % SZS status Unsatisfiable
% 0.68/1.09  % SZS output start Refutation
% 0.68/1.09  
% 0.68/1.09  clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 0.68/1.09     ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 8, [ ~( theorem( or( not( or( not( p ), or( not( q ), r ) ) ), or( 
% 0.68/1.09    not( q ), or( not( p ), r ) ) ) ) ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 19, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) )
% 0.68/1.09     ) ) ] )
% 0.68/1.09  .
% 0.68/1.09  clause( 45, [] )
% 0.68/1.09  .
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  % SZS output end Refutation
% 0.68/1.09  found a proof!
% 0.68/1.09  
% 0.68/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09  
% 0.68/1.09  initialclauses(
% 0.68/1.09  [ clause( 47, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 0.68/1.09  , clause( 48, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 0.68/1.09  , clause( 49, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 0.68/1.09  , clause( 50, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) )
% 0.68/1.09     ) ) ] )
% 0.68/1.09  , clause( 51, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) )
% 0.68/1.09    , or( Z, Y ) ) ) ) ] )
% 0.68/1.09  , clause( 52, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.68/1.09  , clause( 53, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( 
% 0.68/1.09    Y ) ) ] )
% 0.68/1.09  , clause( 54, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z ) )
% 0.68/1.09     ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 0.68/1.09  , clause( 55, [ ~( theorem( or( not( or( not( p ), or( not( q ), r ) ) ), 
% 0.68/1.09    or( not( q ), or( not( p ), r ) ) ) ) ) ] )
% 0.68/1.09  ] ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 0.68/1.09     ] )
% 0.68/1.09  , clause( 50, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) )
% 0.68/1.09     ) ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.68/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.68/1.09  , clause( 52, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.09    1 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 8, [ ~( theorem( or( not( or( not( p ), or( not( q ), r ) ) ), or( 
% 0.68/1.09    not( q ), or( not( p ), r ) ) ) ) ) ] )
% 0.68/1.09  , clause( 55, [ ~( theorem( or( not( or( not( p ), or( not( q ), r ) ) ), 
% 0.68/1.09    or( not( q ), or( not( p ), r ) ) ) ) ) ] )
% 0.68/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  resolution(
% 0.68/1.09  clause( 56, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) )
% 0.68/1.09     ) ) ] )
% 0.68/1.09  , clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 0.68/1.09  , 1, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 0.68/1.09     ) ) ) ] )
% 0.68/1.09  , 0, substitution( 0, [ :=( X, or( not( or( X, or( Y, Z ) ) ), or( Y, or( X
% 0.68/1.09    , Z ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.68/1.09    ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 19, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) )
% 0.68/1.09     ) ) ] )
% 0.68/1.09  , clause( 56, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 0.68/1.09     ) ) ) ] )
% 0.68/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.68/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  resolution(
% 0.68/1.09  clause( 57, [] )
% 0.68/1.09  , clause( 8, [ ~( theorem( or( not( or( not( p ), or( not( q ), r ) ) ), or( 
% 0.68/1.09    not( q ), or( not( p ), r ) ) ) ) ) ] )
% 0.68/1.09  , 0, clause( 19, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z
% 0.68/1.09     ) ) ) ) ] )
% 0.68/1.09  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, not( p ) ), :=( Y, 
% 0.68/1.09    not( q ) ), :=( Z, r )] )).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  subsumption(
% 0.68/1.09  clause( 45, [] )
% 0.68/1.09  , clause( 57, [] )
% 0.68/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  end.
% 0.68/1.09  
% 0.68/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09  
% 0.68/1.09  Memory use:
% 0.68/1.09  
% 0.68/1.09  space for terms:        747
% 0.68/1.09  space for clauses:      3563
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  clauses generated:      61
% 0.68/1.09  clauses kept:           46
% 0.68/1.09  clauses selected:       25
% 0.68/1.09  clauses deleted:        1
% 0.68/1.09  clauses inuse deleted:  0
% 0.68/1.09  
% 0.68/1.09  subsentry:          38
% 0.68/1.09  literals s-matched: 38
% 0.68/1.09  literals matched:   38
% 0.68/1.09  full subsumption:   0
% 0.68/1.09  
% 0.68/1.09  checksum:           1080607000
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  Bliksem ended
%------------------------------------------------------------------------------