TSTP Solution File: ROB010-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : ROB010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.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 : Mon Jul 18 20:49:27 EDT 2022

% Result   : Unsatisfiable 0.43s 1.07s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ROB010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Thu Jun  9 15:21:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/1.06  *** allocated 10000 integers for termspace/termends
% 0.43/1.06  *** allocated 10000 integers for clauses
% 0.43/1.06  *** allocated 10000 integers for justifications
% 0.43/1.06  Bliksem 1.12
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Automatic Strategy Selection
% 0.43/1.06  
% 0.43/1.06  Clauses:
% 0.43/1.06  [
% 0.43/1.06     [ =( add( X, Y ), add( Y, X ) ) ],
% 0.43/1.06     [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ],
% 0.43/1.06     [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate( Y ) ) )
% 0.43/1.06     ) ), X ) ],
% 0.43/1.06     [ =( negate( add( a, negate( b ) ) ), c ) ],
% 0.43/1.06     [ ~( =( negate( add( c, negate( add( b, a ) ) ) ), a ) ) ]
% 0.43/1.06  ] .
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.06  This is a pure equality problem
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Options Used:
% 0.43/1.06  
% 0.43/1.06  useres =            1
% 0.43/1.06  useparamod =        1
% 0.43/1.06  useeqrefl =         1
% 0.43/1.06  useeqfact =         1
% 0.43/1.06  usefactor =         1
% 0.43/1.06  usesimpsplitting =  0
% 0.43/1.06  usesimpdemod =      5
% 0.43/1.06  usesimpres =        3
% 0.43/1.06  
% 0.43/1.06  resimpinuse      =  1000
% 0.43/1.06  resimpclauses =     20000
% 0.43/1.06  substype =          eqrewr
% 0.43/1.06  backwardsubs =      1
% 0.43/1.06  selectoldest =      5
% 0.43/1.06  
% 0.43/1.06  litorderings [0] =  split
% 0.43/1.06  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.43/1.06  
% 0.43/1.06  termordering =      kbo
% 0.43/1.06  
% 0.43/1.06  litapriori =        0
% 0.43/1.06  termapriori =       1
% 0.43/1.06  litaposteriori =    0
% 0.43/1.06  termaposteriori =   0
% 0.43/1.06  demodaposteriori =  0
% 0.43/1.06  ordereqreflfact =   0
% 0.43/1.06  
% 0.43/1.06  litselect =         negord
% 0.43/1.06  
% 0.43/1.06  maxweight =         15
% 0.43/1.06  maxdepth =          30000
% 0.43/1.06  maxlength =         115
% 0.43/1.06  maxnrvars =         195
% 0.43/1.06  excuselevel =       1
% 0.43/1.06  increasemaxweight = 1
% 0.43/1.06  
% 0.43/1.06  maxselected =       10000000
% 0.43/1.06  maxnrclauses =      10000000
% 0.43/1.06  
% 0.43/1.06  showgenerated =    0
% 0.43/1.06  showkept =         0
% 0.43/1.06  showselected =     0
% 0.43/1.06  showdeleted =      0
% 0.43/1.06  showresimp =       1
% 0.43/1.06  showstatus =       2000
% 0.43/1.06  
% 0.43/1.06  prologoutput =     1
% 0.43/1.06  nrgoals =          5000000
% 0.43/1.06  totalproof =       1
% 0.43/1.06  
% 0.43/1.06  Symbols occurring in the translation:
% 0.43/1.06  
% 0.43/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.06  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.43/1.06  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.43/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.06  add  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.43/1.06  negate  [43, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.43/1.06  a  [44, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.43/1.06  b  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.43/1.06  c  [46, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Starting Search:
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksems!, er is een bewijs:
% 0.43/1.07  % SZS status Unsatisfiable
% 0.43/1.07  % SZS output start Refutation
% 0.43/1.07  
% 0.43/1.07  clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate( 
% 0.43/1.07    Y ) ) ) ) ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 3, [ =( negate( add( a, negate( b ) ) ), c ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 4, [ ~( =( negate( add( c, negate( add( b, a ) ) ) ), a ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 6, [ ~( =( negate( add( negate( add( b, a ) ), c ) ), a ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 8, [ ~( =( negate( add( negate( add( a, b ) ), c ) ), a ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 28, [] )
% 0.43/1.07  .
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  % SZS output end Refutation
% 0.43/1.07  found a proof!
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  initialclauses(
% 0.43/1.07  [ clause( 30, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.43/1.07  , clause( 31, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.43/1.07  , clause( 32, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, 
% 0.43/1.07    negate( Y ) ) ) ) ), X ) ] )
% 0.43/1.07  , clause( 33, [ =( negate( add( a, negate( b ) ) ), c ) ] )
% 0.43/1.07  , clause( 34, [ ~( =( negate( add( c, negate( add( b, a ) ) ) ), a ) ) ] )
% 0.43/1.07  ] ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.43/1.07  , clause( 30, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate( 
% 0.43/1.07    Y ) ) ) ) ), X ) ] )
% 0.43/1.07  , clause( 32, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, 
% 0.43/1.07    negate( Y ) ) ) ) ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 3, [ =( negate( add( a, negate( b ) ) ), c ) ] )
% 0.43/1.07  , clause( 33, [ =( negate( add( a, negate( b ) ) ), c ) ] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 4, [ ~( =( negate( add( c, negate( add( b, a ) ) ) ), a ) ) ] )
% 0.43/1.07  , clause( 34, [ ~( =( negate( add( c, negate( add( b, a ) ) ) ), a ) ) ] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 44, [ ~( =( a, negate( add( c, negate( add( b, a ) ) ) ) ) ) ] )
% 0.43/1.07  , clause( 4, [ ~( =( negate( add( c, negate( add( b, a ) ) ) ), a ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 45, [ ~( =( a, negate( add( negate( add( b, a ) ), c ) ) ) ) ] )
% 0.43/1.07  , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.43/1.07  , 0, clause( 44, [ ~( =( a, negate( add( c, negate( add( b, a ) ) ) ) ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , 0, 4, substitution( 0, [ :=( X, c ), :=( Y, negate( add( b, a ) ) )] ), 
% 0.43/1.07    substitution( 1, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 49, [ ~( =( negate( add( negate( add( b, a ) ), c ) ), a ) ) ] )
% 0.43/1.07  , clause( 45, [ ~( =( a, negate( add( negate( add( b, a ) ), c ) ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 6, [ ~( =( negate( add( negate( add( b, a ) ), c ) ), a ) ) ] )
% 0.43/1.07  , clause( 49, [ ~( =( negate( add( negate( add( b, a ) ), c ) ), a ) ) ] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 53, [ ~( =( a, negate( add( negate( add( b, a ) ), c ) ) ) ) ] )
% 0.43/1.07  , clause( 6, [ ~( =( negate( add( negate( add( b, a ) ), c ) ), a ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 55, [ ~( =( a, negate( add( negate( add( a, b ) ), c ) ) ) ) ] )
% 0.43/1.07  , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.43/1.07  , 0, clause( 53, [ ~( =( a, negate( add( negate( add( b, a ) ), c ) ) ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , 0, 6, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 61, [ ~( =( negate( add( negate( add( a, b ) ), c ) ), a ) ) ] )
% 0.43/1.07  , clause( 55, [ ~( =( a, negate( add( negate( add( a, b ) ), c ) ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 8, [ ~( =( negate( add( negate( add( a, b ) ), c ) ), a ) ) ] )
% 0.43/1.07  , clause( 61, [ ~( =( negate( add( negate( add( a, b ) ), c ) ), a ) ) ] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 63, [ =( X, negate( add( negate( add( X, Y ) ), negate( add( X, 
% 0.43/1.07    negate( Y ) ) ) ) ) ) ] )
% 0.43/1.07  , clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, 
% 0.43/1.07    negate( Y ) ) ) ) ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 64, [ ~( =( a, negate( add( negate( add( a, b ) ), c ) ) ) ) ] )
% 0.43/1.07  , clause( 8, [ ~( =( negate( add( negate( add( a, b ) ), c ) ), a ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 66, [ =( a, negate( add( negate( add( a, b ) ), c ) ) ) ] )
% 0.43/1.07  , clause( 3, [ =( negate( add( a, negate( b ) ) ), c ) ] )
% 0.43/1.07  , 0, clause( 63, [ =( X, negate( add( negate( add( X, Y ) ), negate( add( X
% 0.43/1.07    , negate( Y ) ) ) ) ) ) ] )
% 0.43/1.07  , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 68, [] )
% 0.43/1.07  , clause( 64, [ ~( =( a, negate( add( negate( add( a, b ) ), c ) ) ) ) ] )
% 0.43/1.07  , 0, clause( 66, [ =( a, negate( add( negate( add( a, b ) ), c ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 28, [] )
% 0.43/1.07  , clause( 68, [] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  end.
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  Memory use:
% 0.43/1.07  
% 0.43/1.07  space for terms:        486
% 0.43/1.07  space for clauses:      2979
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  clauses generated:      156
% 0.43/1.07  clauses kept:           29
% 0.43/1.07  clauses selected:       11
% 0.43/1.07  clauses deleted:        0
% 0.43/1.07  clauses inuse deleted:  0
% 0.43/1.07  
% 0.43/1.07  subsentry:          281
% 0.43/1.07  literals s-matched: 141
% 0.43/1.07  literals matched:   141
% 0.43/1.07  full subsumption:   0
% 0.43/1.07  
% 0.43/1.07  checksum:           -973269711
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksem ended
%------------------------------------------------------------------------------