TSTP Solution File: GRP679-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP679-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n008.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 07:38:49 EDT 2022

% Result   : Unsatisfiable 0.43s 1.05s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP679-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n008.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 : Mon Jun 13 21:50:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.43/1.05  *** allocated 10000 integers for termspace/termends
% 0.43/1.05  *** allocated 10000 integers for clauses
% 0.43/1.05  *** allocated 10000 integers for justifications
% 0.43/1.05  Bliksem 1.12
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  Automatic Strategy Selection
% 0.43/1.05  
% 0.43/1.05  Clauses:
% 0.43/1.05  [
% 0.43/1.05     [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.43/1.05     [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.43/1.05     [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.43/1.05     [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.43/1.05     [ =( mult( X, unit ), X ) ],
% 0.43/1.05     [ =( mult( unit, X ), X ) ],
% 0.43/1.05     [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y, X ) ), 
% 0.43/1.05    Z ) ) ],
% 0.43/1.05     [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ],
% 0.43/1.05     [ ~( =( mult( mult( 'op_c', 'op_c' ), a ), mult( a, mult( 'op_c', 'op_c'
% 0.43/1.05     ) ) ) ) ]
% 0.43/1.05  ] .
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.05  This is a pure equality problem
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  Options Used:
% 0.43/1.05  
% 0.43/1.05  useres =            1
% 0.43/1.05  useparamod =        1
% 0.43/1.05  useeqrefl =         1
% 0.43/1.05  useeqfact =         1
% 0.43/1.05  usefactor =         1
% 0.43/1.05  usesimpsplitting =  0
% 0.43/1.05  usesimpdemod =      5
% 0.43/1.05  usesimpres =        3
% 0.43/1.05  
% 0.43/1.05  resimpinuse      =  1000
% 0.43/1.05  resimpclauses =     20000
% 0.43/1.05  substype =          eqrewr
% 0.43/1.05  backwardsubs =      1
% 0.43/1.05  selectoldest =      5
% 0.43/1.05  
% 0.43/1.05  litorderings [0] =  split
% 0.43/1.05  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.43/1.05  
% 0.43/1.05  termordering =      kbo
% 0.43/1.05  
% 0.43/1.05  litapriori =        0
% 0.43/1.05  termapriori =       1
% 0.43/1.05  litaposteriori =    0
% 0.43/1.05  termaposteriori =   0
% 0.43/1.05  demodaposteriori =  0
% 0.43/1.05  ordereqreflfact =   0
% 0.43/1.05  
% 0.43/1.05  litselect =         negord
% 0.43/1.05  
% 0.43/1.05  maxweight =         15
% 0.43/1.05  maxdepth =          30000
% 0.43/1.05  maxlength =         115
% 0.43/1.05  maxnrvars =         195
% 0.43/1.05  excuselevel =       1
% 0.43/1.05  increasemaxweight = 1
% 0.43/1.05  
% 0.43/1.05  maxselected =       10000000
% 0.43/1.05  maxnrclauses =      10000000
% 0.43/1.05  
% 0.43/1.05  showgenerated =    0
% 0.43/1.05  showkept =         0
% 0.43/1.05  showselected =     0
% 0.43/1.05  showdeleted =      0
% 0.43/1.05  showresimp =       1
% 0.43/1.05  showstatus =       2000
% 0.43/1.05  
% 0.43/1.05  prologoutput =     1
% 0.43/1.05  nrgoals =          5000000
% 0.43/1.05  totalproof =       1
% 0.43/1.05  
% 0.43/1.05  Symbols occurring in the translation:
% 0.43/1.05  
% 0.43/1.05  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.05  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.43/1.05  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.43/1.05  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.05  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.05  ld  [41, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.43/1.05  mult  [42, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.43/1.05  rd  [43, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.43/1.05  unit  [44, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.43/1.05  'op_c'  [46, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.43/1.05  a  [47, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  Starting Search:
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  Bliksems!, er is een bewijs:
% 0.43/1.05  % SZS status Unsatisfiable
% 0.43/1.05  % SZS output start Refutation
% 0.43/1.05  
% 0.43/1.05  clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 0.43/1.05    , X ) ), Z ) ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 8, [ ~( =( mult( a, mult( 'op_c', 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), a ) ) ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 18, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 25, [ =( ld( X, mult( mult( X, mult( Y, X ) ), Z ) ), mult( Y, mult( 
% 0.43/1.05    X, Z ) ) ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 34, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 45, [ =( mult( 'op_c', mult( X, 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 76, [ =( mult( X, mult( 'op_c', 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  .
% 0.43/1.05  clause( 86, [] )
% 0.43/1.05  .
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  % SZS output end Refutation
% 0.43/1.05  found a proof!
% 0.43/1.05  
% 0.43/1.05  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.05  
% 0.43/1.05  initialclauses(
% 0.43/1.05  [ clause( 88, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.43/1.05  , clause( 89, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.43/1.05  , clause( 90, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.43/1.05  , clause( 91, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.43/1.05  , clause( 92, [ =( mult( X, unit ), X ) ] )
% 0.43/1.05  , clause( 93, [ =( mult( unit, X ), X ) ] )
% 0.43/1.05  , clause( 94, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( 
% 0.43/1.05    Y, X ) ), Z ) ) ] )
% 0.43/1.05  , clause( 95, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.43/1.05  , clause( 96, [ ~( =( mult( mult( 'op_c', 'op_c' ), a ), mult( a, mult( 
% 0.43/1.05    'op_c', 'op_c' ) ) ) ) ] )
% 0.43/1.05  ] ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.43/1.05  , clause( 89, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.43/1.05  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.05     )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.43/1.05  , clause( 93, [ =( mult( unit, X ), X ) ] )
% 0.43/1.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 0.43/1.05    , X ) ), Z ) ) ] )
% 0.43/1.05  , clause( 94, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( 
% 0.43/1.05    Y, X ) ), Z ) ) ] )
% 0.43/1.05  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.43/1.05    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.43/1.05  , clause( 95, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.43/1.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 128, [ ~( =( mult( a, mult( 'op_c', 'op_c' ) ), mult( mult( 'op_c'
% 0.43/1.05    , 'op_c' ), a ) ) ) ] )
% 0.43/1.05  , clause( 96, [ ~( =( mult( mult( 'op_c', 'op_c' ), a ), mult( a, mult( 
% 0.43/1.05    'op_c', 'op_c' ) ) ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 8, [ ~( =( mult( a, mult( 'op_c', 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), a ) ) ) ] )
% 0.43/1.05  , clause( 128, [ ~( =( mult( a, mult( 'op_c', 'op_c' ) ), mult( mult( 
% 0.43/1.05    'op_c', 'op_c' ), a ) ) ) ] )
% 0.43/1.05  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 130, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.43/1.05  , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  paramod(
% 0.43/1.05  clause( 135, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.43/1.05  , clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.43/1.05  , 0, clause( 130, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.43/1.05  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'op_c'
% 0.43/1.05     ), :=( Y, X )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 136, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.43/1.05  , clause( 135, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 18, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.43/1.05  , clause( 136, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.43/1.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 138, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.43/1.05  , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  paramod(
% 0.43/1.05  clause( 139, [ =( mult( X, mult( Y, Z ) ), ld( Y, mult( mult( Y, mult( X, Y
% 0.43/1.05     ) ), Z ) ) ) ] )
% 0.43/1.05  , clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( 
% 0.43/1.05    Y, X ) ), Z ) ) ] )
% 0.43/1.05  , 0, clause( 138, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.43/1.05  , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.43/1.05    substitution( 1, [ :=( X, Y ), :=( Y, mult( X, mult( Y, Z ) ) )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 140, [ =( ld( Y, mult( mult( Y, mult( X, Y ) ), Z ) ), mult( X, 
% 0.43/1.05    mult( Y, Z ) ) ) ] )
% 0.43/1.05  , clause( 139, [ =( mult( X, mult( Y, Z ) ), ld( Y, mult( mult( Y, mult( X
% 0.43/1.05    , Y ) ), Z ) ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 25, [ =( ld( X, mult( mult( X, mult( Y, X ) ), Z ) ), mult( Y, mult( 
% 0.43/1.05    X, Z ) ) ) ] )
% 0.43/1.05  , clause( 140, [ =( ld( Y, mult( mult( Y, mult( X, Y ) ), Z ) ), mult( X, 
% 0.43/1.05    mult( Y, Z ) ) ) ] )
% 0.43/1.05  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.43/1.05    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 142, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y, 
% 0.43/1.05    mult( X, Z ) ) ) ) ] )
% 0.43/1.05  , clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( 
% 0.43/1.05    Y, X ) ), Z ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  paramod(
% 0.43/1.05  clause( 154, [ =( mult( mult( X, mult( unit, X ) ), Y ), mult( X, mult( X, 
% 0.43/1.05    Y ) ) ) ] )
% 0.43/1.05  , clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.43/1.05  , 0, clause( 142, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y
% 0.43/1.05    , mult( X, Z ) ) ) ) ] )
% 0.43/1.05  , 0, 10, substitution( 0, [ :=( X, mult( X, Y ) )] ), substitution( 1, [ 
% 0.43/1.05    :=( X, X ), :=( Y, unit ), :=( Z, Y )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  paramod(
% 0.43/1.05  clause( 171, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.43/1.05  , clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.43/1.05  , 0, clause( 154, [ =( mult( mult( X, mult( unit, X ) ), Y ), mult( X, mult( 
% 0.43/1.05    X, Y ) ) ) ] )
% 0.43/1.05  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.43/1.05    :=( Y, Y )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 172, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.43/1.05  , clause( 171, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 34, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.43/1.05  , clause( 172, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.43/1.05  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.05     )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 174, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.43/1.05  , clause( 34, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  paramod(
% 0.43/1.05  clause( 195, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( 'op_c', mult( X
% 0.43/1.05    , 'op_c' ) ) ) ] )
% 0.43/1.05  , clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.43/1.05  , 0, clause( 174, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ]
% 0.43/1.05     )
% 0.43/1.05  , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'op_c'
% 0.43/1.05     ), :=( Y, X )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 200, [ =( mult( 'op_c', mult( X, 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  , clause( 195, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( 'op_c', mult( 
% 0.43/1.05    X, 'op_c' ) ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 45, [ =( mult( 'op_c', mult( X, 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  , clause( 200, [ =( mult( 'op_c', mult( X, 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 201, [ =( mult( Y, mult( X, Z ) ), ld( X, mult( mult( X, mult( Y, X
% 0.43/1.05     ) ), Z ) ) ) ] )
% 0.43/1.05  , clause( 25, [ =( ld( X, mult( mult( X, mult( Y, X ) ), Z ) ), mult( Y, 
% 0.43/1.05    mult( X, Z ) ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  paramod(
% 0.43/1.05  clause( 204, [ =( mult( X, mult( 'op_c', 'op_c' ) ), mult( 'op_c', mult( X
% 0.43/1.05    , 'op_c' ) ) ) ] )
% 0.43/1.05  , clause( 18, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.43/1.05  , 0, clause( 201, [ =( mult( Y, mult( X, Z ) ), ld( X, mult( mult( X, mult( 
% 0.43/1.05    Y, X ) ), Z ) ) ) ] )
% 0.43/1.05  , 0, 6, substitution( 0, [ :=( X, mult( 'op_c', mult( X, 'op_c' ) ) )] ), 
% 0.43/1.05    substitution( 1, [ :=( X, 'op_c' ), :=( Y, X ), :=( Z, 'op_c' )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  paramod(
% 0.43/1.05  clause( 205, [ =( mult( X, mult( 'op_c', 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  , clause( 45, [ =( mult( 'op_c', mult( X, 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  , 0, clause( 204, [ =( mult( X, mult( 'op_c', 'op_c' ) ), mult( 'op_c', 
% 0.43/1.05    mult( X, 'op_c' ) ) ) ] )
% 0.43/1.05  , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.05    ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 76, [ =( mult( X, mult( 'op_c', 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  , clause( 205, [ =( mult( X, mult( 'op_c', 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 207, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( X, mult( 'op_c'
% 0.43/1.05    , 'op_c' ) ) ) ] )
% 0.43/1.05  , clause( 76, [ =( mult( X, mult( 'op_c', 'op_c' ) ), mult( mult( 'op_c', 
% 0.43/1.05    'op_c' ), X ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqswap(
% 0.43/1.05  clause( 208, [ ~( =( mult( mult( 'op_c', 'op_c' ), a ), mult( a, mult( 
% 0.43/1.05    'op_c', 'op_c' ) ) ) ) ] )
% 0.43/1.05  , clause( 8, [ ~( =( mult( a, mult( 'op_c', 'op_c' ) ), mult( mult( 'op_c'
% 0.43/1.05    , 'op_c' ), a ) ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  paramod(
% 0.43/1.05  clause( 209, [ ~( =( mult( a, mult( 'op_c', 'op_c' ) ), mult( a, mult( 
% 0.43/1.05    'op_c', 'op_c' ) ) ) ) ] )
% 0.43/1.05  , clause( 207, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( X, mult( 
% 0.43/1.05    'op_c', 'op_c' ) ) ) ] )
% 0.43/1.05  , 0, clause( 208, [ ~( =( mult( mult( 'op_c', 'op_c' ), a ), mult( a, mult( 
% 0.43/1.05    'op_c', 'op_c' ) ) ) ) ] )
% 0.43/1.05  , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  eqrefl(
% 0.43/1.05  clause( 210, [] )
% 0.43/1.05  , clause( 209, [ ~( =( mult( a, mult( 'op_c', 'op_c' ) ), mult( a, mult( 
% 0.43/1.05    'op_c', 'op_c' ) ) ) ) ] )
% 0.43/1.05  , 0, substitution( 0, [] )).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  subsumption(
% 0.43/1.05  clause( 86, [] )
% 0.43/1.05  , clause( 210, [] )
% 0.43/1.05  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  end.
% 0.43/1.05  
% 0.43/1.05  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.05  
% 0.43/1.05  Memory use:
% 0.43/1.05  
% 0.43/1.05  space for terms:        1206
% 0.43/1.05  space for clauses:      10623
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  clauses generated:      551
% 0.43/1.05  clauses kept:           87
% 0.43/1.05  clauses selected:       35
% 0.43/1.05  clauses deleted:        2
% 0.43/1.05  clauses inuse deleted:  0
% 0.43/1.05  
% 0.43/1.05  subsentry:          543
% 0.43/1.05  literals s-matched: 173
% 0.43/1.05  literals matched:   168
% 0.43/1.05  full subsumption:   0
% 0.43/1.05  
% 0.43/1.05  checksum:           331448708
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  Bliksem ended
%------------------------------------------------------------------------------