TSTP Solution File: KRS017-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS017-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 02:41:58 EDT 2022

% Result   : Unsatisfiable 0.44s 1.07s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS017-1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n024.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 : Tue Jun  7 13:50:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.44/1.07  *** allocated 10000 integers for termspace/termends
% 0.44/1.07  *** allocated 10000 integers for clauses
% 0.44/1.07  *** allocated 10000 integers for justifications
% 0.44/1.07  Bliksem 1.12
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Automatic Strategy Selection
% 0.44/1.07  
% 0.44/1.07  Clauses:
% 0.44/1.07  [
% 0.44/1.07     [ e( exists ) ],
% 0.44/1.07     [ ~( a( exists ) ) ],
% 0.44/1.07     [ r( X, u0r3( X ) ), ~( e( X ) ) ],
% 0.44/1.07     [ a( X ), ~( e( Y ) ), ~( r( Y, Z ) ), ~( r( X, Z ) ) ],
% 0.44/1.07     [ e( X ), ~( a( u0r2( X ) ) ), ~( r( X, Y ) ) ],
% 0.44/1.07     [ e( X ), r( u0r2( X ), u0r1( X ) ), ~( r( X, Y ) ) ],
% 0.44/1.07     [ e( X ), r( X, u0r1( X ) ), ~( r( X, Y ) ) ]
% 0.44/1.07  ] .
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  percentage equality = 0.000000, percentage horn = 0.714286
% 0.44/1.07  This a non-horn, non-equality problem
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Options Used:
% 0.44/1.07  
% 0.44/1.07  useres =            1
% 0.44/1.07  useparamod =        0
% 0.44/1.07  useeqrefl =         0
% 0.44/1.07  useeqfact =         0
% 0.44/1.07  usefactor =         1
% 0.44/1.07  usesimpsplitting =  0
% 0.44/1.07  usesimpdemod =      0
% 0.44/1.07  usesimpres =        3
% 0.44/1.07  
% 0.44/1.07  resimpinuse      =  1000
% 0.44/1.07  resimpclauses =     20000
% 0.44/1.07  substype =          standard
% 0.44/1.07  backwardsubs =      1
% 0.44/1.07  selectoldest =      5
% 0.44/1.07  
% 0.44/1.07  litorderings [0] =  split
% 0.44/1.07  litorderings [1] =  liftord
% 0.44/1.07  
% 0.44/1.07  termordering =      none
% 0.44/1.07  
% 0.44/1.07  litapriori =        1
% 0.44/1.07  termapriori =       0
% 0.44/1.07  litaposteriori =    0
% 0.44/1.07  termaposteriori =   0
% 0.44/1.07  demodaposteriori =  0
% 0.44/1.07  ordereqreflfact =   0
% 0.44/1.07  
% 0.44/1.07  litselect =         none
% 0.44/1.07  
% 0.44/1.07  maxweight =         15
% 0.44/1.07  maxdepth =          30000
% 0.44/1.07  maxlength =         115
% 0.44/1.07  maxnrvars =         195
% 0.44/1.07  excuselevel =       1
% 0.44/1.07  increasemaxweight = 1
% 0.44/1.07  
% 0.44/1.07  maxselected =       10000000
% 0.44/1.07  maxnrclauses =      10000000
% 0.44/1.07  
% 0.44/1.07  showgenerated =    0
% 0.44/1.07  showkept =         0
% 0.44/1.07  showselected =     0
% 0.44/1.07  showdeleted =      0
% 0.44/1.07  showresimp =       1
% 0.44/1.07  showstatus =       2000
% 0.44/1.07  
% 0.44/1.07  prologoutput =     1
% 0.44/1.07  nrgoals =          5000000
% 0.44/1.07  totalproof =       1
% 0.44/1.07  
% 0.44/1.07  Symbols occurring in the translation:
% 0.44/1.07  
% 0.44/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.44/1.07  .  [1, 2]      (w:1, o:24, a:1, s:1, b:0), 
% 0.44/1.07  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.44/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.07  exists  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.44/1.07  e  [40, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.44/1.07  a  [41, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.44/1.07  u0r3  [43, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.44/1.07  r  [44, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.44/1.07  u0r2  [47, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.44/1.07  u0r1  [49, 1]      (w:1, o:21, a:1, s:1, b:0).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Starting Search:
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Bliksems!, er is een bewijs:
% 0.44/1.07  % SZS status Unsatisfiable
% 0.44/1.07  % SZS output start Refutation
% 0.44/1.07  
% 0.44/1.07  clause( 0, [ e( exists ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 1, [ ~( a( exists ) ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 2, [ ~( e( X ) ), r( X, u0r3( X ) ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 3, [ ~( e( Y ) ), a( X ), ~( r( X, Z ) ), ~( r( Y, Z ) ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 7, [ ~( e( X ) ), a( X ), ~( r( X, Y ) ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 8, [ ~( e( X ) ), a( X ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 9, [] )
% 0.44/1.07  .
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  % SZS output end Refutation
% 0.44/1.07  found a proof!
% 0.44/1.07  
% 0.44/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07  
% 0.44/1.07  initialclauses(
% 0.44/1.07  [ clause( 11, [ e( exists ) ] )
% 0.44/1.07  , clause( 12, [ ~( a( exists ) ) ] )
% 0.44/1.07  , clause( 13, [ r( X, u0r3( X ) ), ~( e( X ) ) ] )
% 0.44/1.07  , clause( 14, [ a( X ), ~( e( Y ) ), ~( r( Y, Z ) ), ~( r( X, Z ) ) ] )
% 0.44/1.07  , clause( 15, [ e( X ), ~( a( u0r2( X ) ) ), ~( r( X, Y ) ) ] )
% 0.44/1.07  , clause( 16, [ e( X ), r( u0r2( X ), u0r1( X ) ), ~( r( X, Y ) ) ] )
% 0.44/1.07  , clause( 17, [ e( X ), r( X, u0r1( X ) ), ~( r( X, Y ) ) ] )
% 0.44/1.07  ] ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 0, [ e( exists ) ] )
% 0.44/1.07  , clause( 11, [ e( exists ) ] )
% 0.44/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 1, [ ~( a( exists ) ) ] )
% 0.44/1.07  , clause( 12, [ ~( a( exists ) ) ] )
% 0.44/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 2, [ ~( e( X ) ), r( X, u0r3( X ) ) ] )
% 0.44/1.07  , clause( 13, [ r( X, u0r3( X ) ), ~( e( X ) ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.44/1.07    0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 3, [ ~( e( Y ) ), a( X ), ~( r( X, Z ) ), ~( r( Y, Z ) ) ] )
% 0.44/1.07  , clause( 14, [ a( X ), ~( e( Y ) ), ~( r( Y, Z ) ), ~( r( X, Z ) ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.07    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.44/1.07     ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  factor(
% 0.44/1.07  clause( 19, [ ~( e( X ) ), a( X ), ~( r( X, Y ) ) ] )
% 0.44/1.07  , clause( 3, [ ~( e( Y ) ), a( X ), ~( r( X, Z ) ), ~( r( Y, Z ) ) ] )
% 0.44/1.07  , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 7, [ ~( e( X ) ), a( X ), ~( r( X, Y ) ) ] )
% 0.44/1.07  , clause( 19, [ ~( e( X ) ), a( X ), ~( r( X, Y ) ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  resolution(
% 0.44/1.07  clause( 20, [ ~( e( X ) ), a( X ), ~( e( X ) ) ] )
% 0.44/1.07  , clause( 7, [ ~( e( X ) ), a( X ), ~( r( X, Y ) ) ] )
% 0.44/1.07  , 2, clause( 2, [ ~( e( X ) ), r( X, u0r3( X ) ) ] )
% 0.44/1.07  , 1, substitution( 0, [ :=( X, X ), :=( Y, u0r3( X ) )] ), substitution( 1
% 0.44/1.07    , [ :=( X, X )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  factor(
% 0.44/1.07  clause( 21, [ ~( e( X ) ), a( X ) ] )
% 0.44/1.07  , clause( 20, [ ~( e( X ) ), a( X ), ~( e( X ) ) ] )
% 0.44/1.07  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 8, [ ~( e( X ) ), a( X ) ] )
% 0.44/1.07  , clause( 21, [ ~( e( X ) ), a( X ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.44/1.07    1 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  resolution(
% 0.44/1.07  clause( 22, [ ~( e( exists ) ) ] )
% 0.44/1.07  , clause( 1, [ ~( a( exists ) ) ] )
% 0.44/1.07  , 0, clause( 8, [ ~( e( X ) ), a( X ) ] )
% 0.44/1.07  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, exists )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  resolution(
% 0.44/1.07  clause( 23, [] )
% 0.44/1.07  , clause( 22, [ ~( e( exists ) ) ] )
% 0.44/1.07  , 0, clause( 0, [ e( exists ) ] )
% 0.44/1.07  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 9, [] )
% 0.44/1.07  , clause( 23, [] )
% 0.44/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  end.
% 0.44/1.07  
% 0.44/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07  
% 0.44/1.07  Memory use:
% 0.44/1.07  
% 0.44/1.07  space for terms:        237
% 0.44/1.07  space for clauses:      494
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  clauses generated:      10
% 0.44/1.07  clauses kept:           10
% 0.44/1.07  clauses selected:       5
% 0.44/1.07  clauses deleted:        0
% 0.44/1.07  clauses inuse deleted:  0
% 0.44/1.07  
% 0.44/1.07  subsentry:          3
% 0.44/1.07  literals s-matched: 1
% 0.44/1.07  literals matched:   1
% 0.44/1.07  full subsumption:   0
% 0.44/1.07  
% 0.44/1.07  checksum:           -139559845
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Bliksem ended
%------------------------------------------------------------------------------