TSTP Solution File: GRP703-10 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP703-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n011.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 : Sat Jul 16 07:39:07 EDT 2022

% Result   : Unsatisfiable 0.71s 1.11s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP703-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n011.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 : Tue Jun 14 10:52:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.71/1.11  *** allocated 10000 integers for termspace/termends
% 0.71/1.11  *** allocated 10000 integers for clauses
% 0.71/1.11  *** allocated 10000 integers for justifications
% 0.71/1.11  Bliksem 1.12
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Automatic Strategy Selection
% 0.71/1.11  
% 0.71/1.11  Clauses:
% 0.71/1.11  [
% 0.71/1.11     [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.71/1.11     [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.71/1.11     [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.71/1.11     [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.71/1.11     [ =( mult( X, unit ), X ) ],
% 0.71/1.11     [ =( mult( unit, X ), X ) ],
% 0.71/1.11     [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X, Y ), Y ), 
% 0.71/1.11    Z ) ) ],
% 0.71/1.11     [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( 'op_c', X ), Y ) ) ],
% 0.71/1.11     [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ), 'op_c' ) ) ],
% 0.71/1.11     [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y ) ) ],
% 0.71/1.11     [ =( 'op_d', ld( X, mult( 'op_c', X ) ) ) ],
% 0.71/1.11     [ =( 'op_e', mult( mult( rd( 'op_c', mult( X, Y ) ), Y ), X ) ) ],
% 0.71/1.11     [ =( 'op_f', mult( X, mult( Y, ld( mult( X, Y ), 'op_c' ) ) ) ) ],
% 0.71/1.11     [ ~( =( mult( 'op_e', mult( x2, x3 ) ), mult( mult( 'op_e', x2 ), x3 ) )
% 0.71/1.11     ) ]
% 0.71/1.11  ] .
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.11  This is a pure equality problem
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Options Used:
% 0.71/1.11  
% 0.71/1.11  useres =            1
% 0.71/1.11  useparamod =        1
% 0.71/1.11  useeqrefl =         1
% 0.71/1.11  useeqfact =         1
% 0.71/1.11  usefactor =         1
% 0.71/1.11  usesimpsplitting =  0
% 0.71/1.11  usesimpdemod =      5
% 0.71/1.11  usesimpres =        3
% 0.71/1.11  
% 0.71/1.11  resimpinuse      =  1000
% 0.71/1.11  resimpclauses =     20000
% 0.71/1.11  substype =          eqrewr
% 0.71/1.11  backwardsubs =      1
% 0.71/1.11  selectoldest =      5
% 0.71/1.11  
% 0.71/1.11  litorderings [0] =  split
% 0.71/1.11  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.71/1.11  
% 0.71/1.11  termordering =      kbo
% 0.71/1.11  
% 0.71/1.11  litapriori =        0
% 0.71/1.11  termapriori =       1
% 0.71/1.11  litaposteriori =    0
% 0.71/1.11  termaposteriori =   0
% 0.71/1.11  demodaposteriori =  0
% 0.71/1.11  ordereqreflfact =   0
% 0.71/1.11  
% 0.71/1.11  litselect =         negord
% 0.71/1.11  
% 0.71/1.11  maxweight =         15
% 0.71/1.11  maxdepth =          30000
% 0.71/1.11  maxlength =         115
% 0.71/1.11  maxnrvars =         195
% 0.71/1.11  excuselevel =       1
% 0.71/1.11  increasemaxweight = 1
% 0.71/1.11  
% 0.71/1.11  maxselected =       10000000
% 0.71/1.11  maxnrclauses =      10000000
% 0.71/1.11  
% 0.71/1.11  showgenerated =    0
% 0.71/1.11  showkept =         0
% 0.71/1.11  showselected =     0
% 0.71/1.11  showdeleted =      0
% 0.71/1.11  showresimp =       1
% 0.71/1.11  showstatus =       2000
% 0.71/1.11  
% 0.71/1.11  prologoutput =     1
% 0.71/1.11  nrgoals =          5000000
% 0.71/1.11  totalproof =       1
% 0.71/1.11  
% 0.71/1.11  Symbols occurring in the translation:
% 0.71/1.11  
% 0.71/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.11  .  [1, 2]      (w:1, o:24, a:1, s:1, b:0), 
% 0.71/1.11  !  [4, 1]      (w:0, o:19, a:1, s:1, b:0), 
% 0.71/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  ld  [41, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.71/1.11  mult  [42, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.71/1.11  rd  [43, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.71/1.11  unit  [44, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.71/1.11  'op_c'  [46, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.71/1.11  'op_d'  [47, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.71/1.11  'op_e'  [48, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.71/1.11  'op_f'  [49, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.71/1.11  x2  [50, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.71/1.11  x3  [51, 0]      (w:1, o:18, a:1, s:1, b:0).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Starting Search:
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Bliksems!, er is een bewijs:
% 0.71/1.11  % SZS status Unsatisfiable
% 0.71/1.11  % SZS output start Refutation
% 0.71/1.11  
% 0.71/1.11  clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 7, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( 'op_c', X ), Y )
% 0.71/1.11     ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 9, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.71/1.11     ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 10, [ =( ld( X, mult( 'op_c', X ) ), 'op_d' ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 11, [ =( mult( mult( rd( 'op_c', mult( X, Y ) ), Y ), X ), 'op_e' )
% 0.71/1.11     ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 13, [ ~( =( mult( 'op_e', mult( x2, x3 ) ), mult( mult( 'op_e', x2
% 0.71/1.11     ), x3 ) ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 30, [ =( 'op_d', 'op_c' ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 32, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 49, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 63, [ =( mult( mult( Y, 'op_c' ), ld( 'op_c', X ) ), mult( Y, X ) )
% 0.71/1.11     ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 83, [ =( 'op_e', 'op_c' ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 125, [] )
% 0.71/1.11  .
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  % SZS output end Refutation
% 0.71/1.11  found a proof!
% 0.71/1.11  
% 0.71/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11  
% 0.71/1.11  initialclauses(
% 0.71/1.11  [ clause( 127, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.71/1.11  , clause( 128, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.11  , clause( 129, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.11  , clause( 130, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.71/1.11  , clause( 131, [ =( mult( X, unit ), X ) ] )
% 0.71/1.11  , clause( 132, [ =( mult( unit, X ), X ) ] )
% 0.71/1.11  , clause( 133, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X
% 0.71/1.11    , Y ), Y ), Z ) ) ] )
% 0.71/1.11  , clause( 134, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( 'op_c', X ), 
% 0.71/1.11    Y ) ) ] )
% 0.71/1.11  , clause( 135, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ), 
% 0.71/1.11    'op_c' ) ) ] )
% 0.71/1.11  , clause( 136, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), 
% 0.71/1.11    Y ) ) ] )
% 0.71/1.11  , clause( 137, [ =( 'op_d', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.71/1.11  , clause( 138, [ =( 'op_e', mult( mult( rd( 'op_c', mult( X, Y ) ), Y ), X
% 0.71/1.11     ) ) ] )
% 0.71/1.11  , clause( 139, [ =( 'op_f', mult( X, mult( Y, ld( mult( X, Y ), 'op_c' ) )
% 0.71/1.11     ) ) ] )
% 0.71/1.11  , clause( 140, [ ~( =( mult( 'op_e', mult( x2, x3 ) ), mult( mult( 'op_e', 
% 0.71/1.11    x2 ), x3 ) ) ) ] )
% 0.71/1.11  ] ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.71/1.11  , clause( 127, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.11  , clause( 128, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.11  , clause( 129, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 7, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( 'op_c', X ), Y )
% 0.71/1.11     ) ] )
% 0.71/1.11  , clause( 134, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( 'op_c', X ), 
% 0.71/1.11    Y ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 9, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.71/1.11     ) ] )
% 0.71/1.11  , clause( 136, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), 
% 0.71/1.11    Y ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 175, [ =( ld( X, mult( 'op_c', X ) ), 'op_d' ) ] )
% 0.71/1.11  , clause( 137, [ =( 'op_d', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 10, [ =( ld( X, mult( 'op_c', X ) ), 'op_d' ) ] )
% 0.71/1.11  , clause( 175, [ =( ld( X, mult( 'op_c', X ) ), 'op_d' ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 187, [ =( mult( mult( rd( 'op_c', mult( X, Y ) ), Y ), X ), 'op_e'
% 0.71/1.11     ) ] )
% 0.71/1.11  , clause( 138, [ =( 'op_e', mult( mult( rd( 'op_c', mult( X, Y ) ), Y ), X
% 0.71/1.11     ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 11, [ =( mult( mult( rd( 'op_c', mult( X, Y ) ), Y ), X ), 'op_e' )
% 0.71/1.11     ] )
% 0.71/1.11  , clause( 187, [ =( mult( mult( rd( 'op_c', mult( X, Y ) ), Y ), X ), 
% 0.71/1.11    'op_e' ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 13, [ ~( =( mult( 'op_e', mult( x2, x3 ) ), mult( mult( 'op_e', x2
% 0.71/1.11     ), x3 ) ) ) ] )
% 0.71/1.11  , clause( 140, [ ~( =( mult( 'op_e', mult( x2, x3 ) ), mult( mult( 'op_e', 
% 0.71/1.11    x2 ), x3 ) ) ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 202, [ =( 'op_d', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.71/1.11  , clause( 10, [ =( ld( X, mult( 'op_c', X ) ), 'op_d' ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 204, [ =( 'op_d', 'op_c' ) ] )
% 0.71/1.11  , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.11  , 0, clause( 202, [ =( 'op_d', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.71/1.11  , 0, 2, substitution( 0, [ :=( X, 'op_c' ), :=( Y, 'op_c' )] ), 
% 0.71/1.11    substitution( 1, [ :=( X, 'op_c' )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 30, [ =( 'op_d', 'op_c' ) ] )
% 0.71/1.11  , clause( 204, [ =( 'op_d', 'op_c' ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 207, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.71/1.11  , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 212, [ =( mult( 'op_c', X ), mult( X, 'op_d' ) ) ] )
% 0.71/1.11  , clause( 10, [ =( ld( X, mult( 'op_c', X ) ), 'op_d' ) ] )
% 0.71/1.11  , 0, clause( 207, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.71/1.11  , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.71/1.11    :=( Y, mult( 'op_c', X ) )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 213, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.11  , clause( 30, [ =( 'op_d', 'op_c' ) ] )
% 0.71/1.11  , 0, clause( 212, [ =( mult( 'op_c', X ), mult( X, 'op_d' ) ) ] )
% 0.71/1.11  , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 214, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.71/1.11  , clause( 213, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 32, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.71/1.11  , clause( 214, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 215, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.11  , clause( 32, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 216, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.71/1.11  , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 217, [ =( X, mult( ld( 'op_c', X ), 'op_c' ) ) ] )
% 0.71/1.11  , clause( 215, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.11  , 0, clause( 216, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.71/1.11  , 0, 2, substitution( 0, [ :=( X, ld( 'op_c', X ) )] ), substitution( 1, [ 
% 0.71/1.11    :=( X, 'op_c' ), :=( Y, X )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 218, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.71/1.11  , clause( 217, [ =( X, mult( ld( 'op_c', X ), 'op_c' ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 49, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.71/1.11  , clause( 218, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 220, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( 'op_c', Y )
% 0.71/1.11     ) ) ] )
% 0.71/1.11  , clause( 9, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y
% 0.71/1.11     ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 222, [ =( mult( mult( X, 'op_c' ), ld( 'op_c', Y ) ), mult( X, Y )
% 0.71/1.11     ) ] )
% 0.71/1.11  , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.71/1.11  , 0, clause( 220, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( 'op_c'
% 0.71/1.11    , Y ) ) ) ] )
% 0.71/1.11  , 0, 10, substitution( 0, [ :=( X, 'op_c' ), :=( Y, Y )] ), substitution( 1
% 0.71/1.11    , [ :=( X, X ), :=( Y, ld( 'op_c', Y ) )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 63, [ =( mult( mult( Y, 'op_c' ), ld( 'op_c', X ) ), mult( Y, X ) )
% 0.71/1.11     ] )
% 0.71/1.11  , clause( 222, [ =( mult( mult( X, 'op_c' ), ld( 'op_c', Y ) ), mult( X, Y
% 0.71/1.11     ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqswap(
% 0.71/1.11  clause( 225, [ =( 'op_e', mult( mult( rd( 'op_c', mult( X, Y ) ), Y ), X )
% 0.71/1.11     ) ] )
% 0.71/1.11  , clause( 11, [ =( mult( mult( rd( 'op_c', mult( X, Y ) ), Y ), X ), 'op_e'
% 0.71/1.11     ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 229, [ =( 'op_e', mult( rd( 'op_c', mult( ld( 'op_c', X ), 'op_c' )
% 0.71/1.11     ), X ) ) ] )
% 0.71/1.11  , clause( 63, [ =( mult( mult( Y, 'op_c' ), ld( 'op_c', X ) ), mult( Y, X )
% 0.71/1.11     ) ] )
% 0.71/1.11  , 0, clause( 225, [ =( 'op_e', mult( mult( rd( 'op_c', mult( X, Y ) ), Y )
% 0.71/1.11    , X ) ) ] )
% 0.71/1.11  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, rd( 'op_c', mult( ld( 'op_c'
% 0.71/1.11    , X ), 'op_c' ) ) )] ), substitution( 1, [ :=( X, ld( 'op_c', X ) ), :=( 
% 0.71/1.11    Y, 'op_c' )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 231, [ =( 'op_e', mult( rd( 'op_c', X ), X ) ) ] )
% 0.71/1.11  , clause( 49, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.71/1.11  , 0, clause( 229, [ =( 'op_e', mult( rd( 'op_c', mult( ld( 'op_c', X ), 
% 0.71/1.11    'op_c' ) ), X ) ) ] )
% 0.71/1.11  , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.11    ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 232, [ =( 'op_e', 'op_c' ) ] )
% 0.71/1.11  , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.11  , 0, clause( 231, [ =( 'op_e', mult( rd( 'op_c', X ), X ) ) ] )
% 0.71/1.11  , 0, 2, substitution( 0, [ :=( X, 'op_c' ), :=( Y, X )] ), substitution( 1
% 0.71/1.11    , [ :=( X, X )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 83, [ =( 'op_e', 'op_c' ) ] )
% 0.71/1.11  , clause( 232, [ =( 'op_e', 'op_c' ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 238, [ ~( =( mult( 'op_e', mult( x2, x3 ) ), mult( mult( 'op_c', x2
% 0.71/1.11     ), x3 ) ) ) ] )
% 0.71/1.11  , clause( 83, [ =( 'op_e', 'op_c' ) ] )
% 0.71/1.11  , 0, clause( 13, [ ~( =( mult( 'op_e', mult( x2, x3 ) ), mult( mult( 'op_e'
% 0.71/1.11    , x2 ), x3 ) ) ) ] )
% 0.71/1.11  , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 239, [ ~( =( mult( 'op_c', mult( x2, x3 ) ), mult( mult( 'op_c', x2
% 0.71/1.11     ), x3 ) ) ) ] )
% 0.71/1.11  , clause( 83, [ =( 'op_e', 'op_c' ) ] )
% 0.71/1.11  , 0, clause( 238, [ ~( =( mult( 'op_e', mult( x2, x3 ) ), mult( mult( 
% 0.71/1.11    'op_c', x2 ), x3 ) ) ) ] )
% 0.71/1.11  , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  paramod(
% 0.71/1.11  clause( 240, [ ~( =( mult( mult( 'op_c', x2 ), x3 ), mult( mult( 'op_c', x2
% 0.71/1.11     ), x3 ) ) ) ] )
% 0.71/1.11  , clause( 7, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( 'op_c', X ), Y
% 0.71/1.11     ) ) ] )
% 0.71/1.11  , 0, clause( 239, [ ~( =( mult( 'op_c', mult( x2, x3 ) ), mult( mult( 
% 0.71/1.11    'op_c', x2 ), x3 ) ) ) ] )
% 0.71/1.11  , 0, 2, substitution( 0, [ :=( X, x2 ), :=( Y, x3 )] ), substitution( 1, [] )
% 0.71/1.11    ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  eqrefl(
% 0.71/1.11  clause( 241, [] )
% 0.71/1.11  , clause( 240, [ ~( =( mult( mult( 'op_c', x2 ), x3 ), mult( mult( 'op_c', 
% 0.71/1.11    x2 ), x3 ) ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 125, [] )
% 0.71/1.11  , clause( 241, [] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  end.
% 0.71/1.11  
% 0.71/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11  
% 0.71/1.11  Memory use:
% 0.71/1.11  
% 0.71/1.11  space for terms:        1755
% 0.71/1.11  space for clauses:      15120
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  clauses generated:      483
% 0.71/1.11  clauses kept:           126
% 0.71/1.11  clauses selected:       36
% 0.71/1.11  clauses deleted:        5
% 0.71/1.11  clauses inuse deleted:  0
% 0.71/1.11  
% 0.71/1.11  subsentry:          465
% 0.71/1.11  literals s-matched: 225
% 0.71/1.11  literals matched:   225
% 0.71/1.11  full subsumption:   0
% 0.71/1.11  
% 0.71/1.11  checksum:           -1836542368
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Bliksem ended
%------------------------------------------------------------------------------