TSTP Solution File: GRP700-10 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n018.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 07:39:05 EDT 2022

% Result   : Unsatisfiable 0.74s 1.10s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n018.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 14 02:20:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.74/1.10  *** allocated 10000 integers for termspace/termends
% 0.74/1.10  *** allocated 10000 integers for clauses
% 0.74/1.10  *** allocated 10000 integers for justifications
% 0.74/1.10  Bliksem 1.12
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Automatic Strategy Selection
% 0.74/1.10  
% 0.74/1.10  Clauses:
% 0.74/1.10  [
% 0.74/1.10     [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.74/1.10     [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.74/1.10     [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.74/1.10     [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.74/1.10     [ =( mult( X, unit ), X ) ],
% 0.74/1.10     [ =( mult( unit, X ), X ) ],
% 0.74/1.10     [ =( mult( mult( mult( X, Y ), X ), mult( X, Z ) ), mult( X, mult( mult( 
% 0.74/1.10    mult( Y, X ), X ), Z ) ) ) ],
% 0.74/1.10     [ =( mult( mult( X, Y ), mult( Y, mult( Z, Y ) ) ), mult( mult( X, mult( 
% 0.74/1.10    Y, mult( Y, Z ) ) ), Y ) ) ],
% 0.74/1.10     [ ~( =( tuple( mult( X, x0 ), mult( x0, X ) ), tuple( unit, unit ) ) ) ]
% 0.74/1.10    
% 0.74/1.10  ] .
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.10  This is a pure equality problem
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Options Used:
% 0.74/1.10  
% 0.74/1.10  useres =            1
% 0.74/1.10  useparamod =        1
% 0.74/1.10  useeqrefl =         1
% 0.74/1.10  useeqfact =         1
% 0.74/1.10  usefactor =         1
% 0.74/1.10  usesimpsplitting =  0
% 0.74/1.10  usesimpdemod =      5
% 0.74/1.10  usesimpres =        3
% 0.74/1.10  
% 0.74/1.10  resimpinuse      =  1000
% 0.74/1.10  resimpclauses =     20000
% 0.74/1.10  substype =          eqrewr
% 0.74/1.10  backwardsubs =      1
% 0.74/1.10  selectoldest =      5
% 0.74/1.10  
% 0.74/1.10  litorderings [0] =  split
% 0.74/1.10  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.74/1.10  
% 0.74/1.10  termordering =      kbo
% 0.74/1.10  
% 0.74/1.10  litapriori =        0
% 0.74/1.10  termapriori =       1
% 0.74/1.10  litaposteriori =    0
% 0.74/1.10  termaposteriori =   0
% 0.74/1.10  demodaposteriori =  0
% 0.74/1.10  ordereqreflfact =   0
% 0.74/1.10  
% 0.74/1.10  litselect =         negord
% 0.74/1.10  
% 0.74/1.10  maxweight =         15
% 0.74/1.10  maxdepth =          30000
% 0.74/1.10  maxlength =         115
% 0.74/1.10  maxnrvars =         195
% 0.74/1.10  excuselevel =       1
% 0.74/1.10  increasemaxweight = 1
% 0.74/1.10  
% 0.74/1.10  maxselected =       10000000
% 0.74/1.10  maxnrclauses =      10000000
% 0.74/1.10  
% 0.74/1.10  showgenerated =    0
% 0.74/1.10  showkept =         0
% 0.74/1.10  showselected =     0
% 0.74/1.10  showdeleted =      0
% 0.74/1.10  showresimp =       1
% 0.74/1.10  showstatus =       2000
% 0.74/1.10  
% 0.74/1.10  prologoutput =     1
% 0.74/1.10  nrgoals =          5000000
% 0.74/1.10  totalproof =       1
% 0.74/1.10  
% 0.74/1.10  Symbols occurring in the translation:
% 0.74/1.10  
% 0.74/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.74/1.10  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.74/1.10  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.74/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.10  ld  [41, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.74/1.10  mult  [42, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.74/1.10  rd  [43, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.74/1.10  unit  [44, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.74/1.10  x0  [47, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.74/1.10  tuple  [48, 2]      (w:1, o:48, a:1, s:1, b:0).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Starting Search:
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Bliksems!, er is een bewijs:
% 0.74/1.10  % SZS status Unsatisfiable
% 0.74/1.10  % SZS output start Refutation
% 0.74/1.10  
% 0.74/1.10  clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 6, [ =( mult( X, mult( mult( mult( Y, X ), X ), Z ) ), mult( mult( 
% 0.74/1.10    mult( X, Y ), X ), mult( X, Z ) ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 7, [ =( mult( mult( X, Y ), mult( Y, mult( Z, Y ) ) ), mult( mult( 
% 0.74/1.10    X, mult( Y, mult( Y, Z ) ) ), Y ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 8, [ ~( =( tuple( mult( X, x0 ), mult( x0, X ) ), tuple( unit, unit
% 0.74/1.10     ) ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 14, [ =( ld( X, X ), unit ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 17, [ =( ld( X, mult( mult( mult( X, Y ), X ), mult( X, Z ) ) ), 
% 0.74/1.10    mult( mult( mult( Y, X ), X ), Z ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 26, [ ~( =( tuple( mult( ld( x0, X ), x0 ), X ), tuple( unit, unit
% 0.74/1.10     ) ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 41, [ =( mult( X, mult( X, mult( Y, X ) ) ), mult( mult( X, mult( X
% 0.74/1.10    , Y ) ), X ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 43, [ =( ld( X, mult( mult( X, mult( X, Y ) ), X ) ), mult( X, mult( 
% 0.74/1.10    Y, X ) ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 63, [ =( ld( X, mult( mult( X, X ), mult( X, Y ) ) ), mult( mult( X
% 0.74/1.10    , X ), Y ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 76, [ =( mult( X, mult( mult( X, Y ), X ) ), mult( mult( X, X ), 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 80, [ =( mult( mult( X, X ), mult( ld( X, Y ), X ) ), mult( X, mult( 
% 0.74/1.10    Y, X ) ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 86, [ =( ld( mult( X, X ), mult( X, mult( Y, X ) ) ), mult( ld( X, 
% 0.74/1.10    Y ), X ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 89, [ =( mult( ld( X, unit ), X ), unit ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 96, [] )
% 0.74/1.10  .
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  % SZS output end Refutation
% 0.74/1.10  found a proof!
% 0.74/1.10  
% 0.74/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.10  
% 0.74/1.10  initialclauses(
% 0.74/1.10  [ clause( 98, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.10  , clause( 99, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.10  , clause( 100, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.74/1.10  , clause( 101, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.74/1.10  , clause( 102, [ =( mult( X, unit ), X ) ] )
% 0.74/1.10  , clause( 103, [ =( mult( unit, X ), X ) ] )
% 0.74/1.10  , clause( 104, [ =( mult( mult( mult( X, Y ), X ), mult( X, Z ) ), mult( X
% 0.74/1.10    , mult( mult( mult( Y, X ), X ), Z ) ) ) ] )
% 0.74/1.10  , clause( 105, [ =( mult( mult( X, Y ), mult( Y, mult( Z, Y ) ) ), mult( 
% 0.74/1.10    mult( X, mult( Y, mult( Y, Z ) ) ), Y ) ) ] )
% 0.74/1.10  , clause( 106, [ ~( =( tuple( mult( X, x0 ), mult( x0, X ) ), tuple( unit, 
% 0.74/1.10    unit ) ) ) ] )
% 0.74/1.10  ] ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.10  , clause( 98, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.10     )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.10  , clause( 99, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.10     )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.74/1.10  , clause( 102, [ =( mult( X, unit ), X ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.74/1.10  , clause( 103, [ =( mult( unit, X ), X ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 127, [ =( mult( X, mult( mult( mult( Y, X ), X ), Z ) ), mult( mult( 
% 0.74/1.10    mult( X, Y ), X ), mult( X, Z ) ) ) ] )
% 0.74/1.10  , clause( 104, [ =( mult( mult( mult( X, Y ), X ), mult( X, Z ) ), mult( X
% 0.74/1.10    , mult( mult( mult( Y, X ), X ), Z ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 6, [ =( mult( X, mult( mult( mult( Y, X ), X ), Z ) ), mult( mult( 
% 0.74/1.10    mult( X, Y ), X ), mult( X, Z ) ) ) ] )
% 0.74/1.10  , clause( 127, [ =( mult( X, mult( mult( mult( Y, X ), X ), Z ) ), mult( 
% 0.74/1.10    mult( mult( X, Y ), X ), mult( X, Z ) ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.10    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 7, [ =( mult( mult( X, Y ), mult( Y, mult( Z, Y ) ) ), mult( mult( 
% 0.74/1.10    X, mult( Y, mult( Y, Z ) ) ), Y ) ) ] )
% 0.74/1.10  , clause( 105, [ =( mult( mult( X, Y ), mult( Y, mult( Z, Y ) ) ), mult( 
% 0.74/1.10    mult( X, mult( Y, mult( Y, Z ) ) ), Y ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.10    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 8, [ ~( =( tuple( mult( X, x0 ), mult( x0, X ) ), tuple( unit, unit
% 0.74/1.10     ) ) ) ] )
% 0.74/1.10  , clause( 106, [ ~( =( tuple( mult( X, x0 ), mult( x0, X ) ), tuple( unit, 
% 0.74/1.10    unit ) ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 146, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.10  , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 147, [ =( unit, ld( X, X ) ) ] )
% 0.74/1.10  , clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.74/1.10  , 0, clause( 146, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.10  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.74/1.10    :=( Y, unit )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 148, [ =( ld( X, X ), unit ) ] )
% 0.74/1.10  , clause( 147, [ =( unit, ld( X, X ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 14, [ =( ld( X, X ), unit ) ] )
% 0.74/1.10  , clause( 148, [ =( ld( X, X ), unit ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 150, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.10  , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 151, [ =( mult( mult( mult( X, Y ), Y ), Z ), ld( Y, mult( mult( 
% 0.74/1.10    mult( Y, X ), Y ), mult( Y, Z ) ) ) ) ] )
% 0.74/1.10  , clause( 6, [ =( mult( X, mult( mult( mult( Y, X ), X ), Z ) ), mult( mult( 
% 0.74/1.10    mult( X, Y ), X ), mult( X, Z ) ) ) ] )
% 0.74/1.10  , 0, clause( 150, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.10  , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.74/1.10    substitution( 1, [ :=( X, Y ), :=( Y, mult( mult( mult( X, Y ), Y ), Z )
% 0.74/1.10     )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 152, [ =( ld( Y, mult( mult( mult( Y, X ), Y ), mult( Y, Z ) ) ), 
% 0.74/1.10    mult( mult( mult( X, Y ), Y ), Z ) ) ] )
% 0.74/1.10  , clause( 151, [ =( mult( mult( mult( X, Y ), Y ), Z ), ld( Y, mult( mult( 
% 0.74/1.10    mult( Y, X ), Y ), mult( Y, Z ) ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 17, [ =( ld( X, mult( mult( mult( X, Y ), X ), mult( X, Z ) ) ), 
% 0.74/1.10    mult( mult( mult( Y, X ), X ), Z ) ) ] )
% 0.74/1.10  , clause( 152, [ =( ld( Y, mult( mult( mult( Y, X ), Y ), mult( Y, Z ) ) )
% 0.74/1.10    , mult( mult( mult( X, Y ), Y ), Z ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.74/1.10    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 154, [ ~( =( tuple( unit, unit ), tuple( mult( X, x0 ), mult( x0, X
% 0.74/1.10     ) ) ) ) ] )
% 0.74/1.10  , clause( 8, [ ~( =( tuple( mult( X, x0 ), mult( x0, X ) ), tuple( unit, 
% 0.74/1.10    unit ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 155, [ ~( =( tuple( unit, unit ), tuple( mult( ld( x0, X ), x0 ), X
% 0.74/1.10     ) ) ) ] )
% 0.74/1.10  , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.10  , 0, clause( 154, [ ~( =( tuple( unit, unit ), tuple( mult( X, x0 ), mult( 
% 0.74/1.10    x0, X ) ) ) ) ] )
% 0.74/1.10  , 0, 11, substitution( 0, [ :=( X, x0 ), :=( Y, X )] ), substitution( 1, [ 
% 0.74/1.10    :=( X, ld( x0, X ) )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 156, [ ~( =( tuple( mult( ld( x0, X ), x0 ), X ), tuple( unit, unit
% 0.74/1.10     ) ) ) ] )
% 0.74/1.10  , clause( 155, [ ~( =( tuple( unit, unit ), tuple( mult( ld( x0, X ), x0 )
% 0.74/1.10    , X ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 26, [ ~( =( tuple( mult( ld( x0, X ), x0 ), X ), tuple( unit, unit
% 0.74/1.10     ) ) ) ] )
% 0.74/1.10  , clause( 156, [ ~( =( tuple( mult( ld( x0, X ), x0 ), X ), tuple( unit, 
% 0.74/1.10    unit ) ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 158, [ =( mult( mult( X, mult( Y, mult( Y, Z ) ) ), Y ), mult( mult( 
% 0.74/1.10    X, Y ), mult( Y, mult( Z, Y ) ) ) ) ] )
% 0.74/1.10  , clause( 7, [ =( mult( mult( X, Y ), mult( Y, mult( Z, Y ) ) ), mult( mult( 
% 0.74/1.10    X, mult( Y, mult( Y, Z ) ) ), Y ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 162, [ =( mult( mult( unit, mult( X, mult( X, Y ) ) ), X ), mult( X
% 0.74/1.10    , mult( X, mult( Y, X ) ) ) ) ] )
% 0.74/1.10  , clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.74/1.10  , 0, clause( 158, [ =( mult( mult( X, mult( Y, mult( Y, Z ) ) ), Y ), mult( 
% 0.74/1.10    mult( X, Y ), mult( Y, mult( Z, Y ) ) ) ) ] )
% 0.74/1.10  , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, unit )
% 0.74/1.10    , :=( Y, X ), :=( Z, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 175, [ =( mult( mult( X, mult( X, Y ) ), X ), mult( X, mult( X, 
% 0.74/1.10    mult( Y, X ) ) ) ) ] )
% 0.74/1.10  , clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.74/1.10  , 0, clause( 162, [ =( mult( mult( unit, mult( X, mult( X, Y ) ) ), X ), 
% 0.74/1.10    mult( X, mult( X, mult( Y, X ) ) ) ) ] )
% 0.74/1.10  , 0, 2, substitution( 0, [ :=( X, mult( X, mult( X, Y ) ) )] ), 
% 0.74/1.10    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 176, [ =( mult( X, mult( X, mult( Y, X ) ) ), mult( mult( X, mult( 
% 0.74/1.10    X, Y ) ), X ) ) ] )
% 0.74/1.10  , clause( 175, [ =( mult( mult( X, mult( X, Y ) ), X ), mult( X, mult( X, 
% 0.74/1.10    mult( Y, X ) ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 41, [ =( mult( X, mult( X, mult( Y, X ) ) ), mult( mult( X, mult( X
% 0.74/1.10    , Y ) ), X ) ) ] )
% 0.74/1.10  , clause( 176, [ =( mult( X, mult( X, mult( Y, X ) ) ), mult( mult( X, mult( 
% 0.74/1.10    X, Y ) ), X ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.10     )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 178, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.10  , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 179, [ =( mult( X, mult( Y, X ) ), ld( X, mult( mult( X, mult( X, Y
% 0.74/1.10     ) ), X ) ) ) ] )
% 0.74/1.10  , clause( 41, [ =( mult( X, mult( X, mult( Y, X ) ) ), mult( mult( X, mult( 
% 0.74/1.10    X, Y ) ), X ) ) ] )
% 0.74/1.10  , 0, clause( 178, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.10  , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.74/1.10    :=( X, X ), :=( Y, mult( X, mult( Y, X ) ) )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 180, [ =( ld( X, mult( mult( X, mult( X, Y ) ), X ) ), mult( X, 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  , clause( 179, [ =( mult( X, mult( Y, X ) ), ld( X, mult( mult( X, mult( X
% 0.74/1.10    , Y ) ), X ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 43, [ =( ld( X, mult( mult( X, mult( X, Y ) ), X ) ), mult( X, mult( 
% 0.74/1.10    Y, X ) ) ) ] )
% 0.74/1.10  , clause( 180, [ =( ld( X, mult( mult( X, mult( X, Y ) ), X ) ), mult( X, 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.10     )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 182, [ =( mult( mult( mult( Y, X ), X ), Z ), ld( X, mult( mult( 
% 0.74/1.10    mult( X, Y ), X ), mult( X, Z ) ) ) ) ] )
% 0.74/1.10  , clause( 17, [ =( ld( X, mult( mult( mult( X, Y ), X ), mult( X, Z ) ) ), 
% 0.74/1.10    mult( mult( mult( Y, X ), X ), Z ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 187, [ =( mult( mult( mult( unit, X ), X ), Y ), ld( X, mult( mult( 
% 0.74/1.10    X, X ), mult( X, Y ) ) ) ) ] )
% 0.74/1.10  , clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.74/1.10  , 0, clause( 182, [ =( mult( mult( mult( Y, X ), X ), Z ), ld( X, mult( 
% 0.74/1.10    mult( mult( X, Y ), X ), mult( X, Z ) ) ) ) ] )
% 0.74/1.10  , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.74/1.10    :=( Y, unit ), :=( Z, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 193, [ =( mult( mult( X, X ), Y ), ld( X, mult( mult( X, X ), mult( 
% 0.74/1.10    X, Y ) ) ) ) ] )
% 0.74/1.10  , clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.74/1.10  , 0, clause( 187, [ =( mult( mult( mult( unit, X ), X ), Y ), ld( X, mult( 
% 0.74/1.10    mult( X, X ), mult( X, Y ) ) ) ) ] )
% 0.74/1.10  , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.74/1.10    :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 194, [ =( ld( X, mult( mult( X, X ), mult( X, Y ) ) ), mult( mult( 
% 0.74/1.10    X, X ), Y ) ) ] )
% 0.74/1.10  , clause( 193, [ =( mult( mult( X, X ), Y ), ld( X, mult( mult( X, X ), 
% 0.74/1.10    mult( X, Y ) ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 63, [ =( ld( X, mult( mult( X, X ), mult( X, Y ) ) ), mult( mult( X
% 0.74/1.10    , X ), Y ) ) ] )
% 0.74/1.10  , clause( 194, [ =( ld( X, mult( mult( X, X ), mult( X, Y ) ) ), mult( mult( 
% 0.74/1.10    X, X ), Y ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.10     )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 196, [ =( mult( mult( X, X ), Y ), ld( X, mult( mult( X, X ), mult( 
% 0.74/1.10    X, Y ) ) ) ) ] )
% 0.74/1.10  , clause( 63, [ =( ld( X, mult( mult( X, X ), mult( X, Y ) ) ), mult( mult( 
% 0.74/1.10    X, X ), Y ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 199, [ =( mult( mult( X, X ), mult( Y, X ) ), ld( X, mult( mult( X
% 0.74/1.10    , mult( X, mult( X, Y ) ) ), X ) ) ) ] )
% 0.74/1.10  , clause( 7, [ =( mult( mult( X, Y ), mult( Y, mult( Z, Y ) ) ), mult( mult( 
% 0.74/1.10    X, mult( Y, mult( Y, Z ) ) ), Y ) ) ] )
% 0.74/1.10  , 0, clause( 196, [ =( mult( mult( X, X ), Y ), ld( X, mult( mult( X, X ), 
% 0.74/1.10    mult( X, Y ) ) ) ) ] )
% 0.74/1.10  , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ), 
% 0.74/1.10    substitution( 1, [ :=( X, X ), :=( Y, mult( Y, X ) )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 201, [ =( mult( mult( X, X ), mult( Y, X ) ), mult( X, mult( mult( 
% 0.74/1.10    X, Y ), X ) ) ) ] )
% 0.74/1.10  , clause( 43, [ =( ld( X, mult( mult( X, mult( X, Y ) ), X ) ), mult( X, 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  , 0, clause( 199, [ =( mult( mult( X, X ), mult( Y, X ) ), ld( X, mult( 
% 0.74/1.10    mult( X, mult( X, mult( X, Y ) ) ), X ) ) ) ] )
% 0.74/1.10  , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, mult( X, Y ) )] ), 
% 0.74/1.10    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 202, [ =( mult( X, mult( mult( X, Y ), X ) ), mult( mult( X, X ), 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  , clause( 201, [ =( mult( mult( X, X ), mult( Y, X ) ), mult( X, mult( mult( 
% 0.74/1.10    X, Y ), X ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 76, [ =( mult( X, mult( mult( X, Y ), X ) ), mult( mult( X, X ), 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  , clause( 202, [ =( mult( X, mult( mult( X, Y ), X ) ), mult( mult( X, X )
% 0.74/1.10    , mult( Y, X ) ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.10     )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 204, [ =( mult( mult( X, X ), mult( Y, X ) ), mult( X, mult( mult( 
% 0.74/1.10    X, Y ), X ) ) ) ] )
% 0.74/1.10  , clause( 76, [ =( mult( X, mult( mult( X, Y ), X ) ), mult( mult( X, X ), 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 206, [ =( mult( mult( X, X ), mult( ld( X, Y ), X ) ), mult( X, 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.10  , 0, clause( 204, [ =( mult( mult( X, X ), mult( Y, X ) ), mult( X, mult( 
% 0.74/1.10    mult( X, Y ), X ) ) ) ] )
% 0.74/1.10  , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.74/1.10    :=( X, X ), :=( Y, ld( X, Y ) )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 80, [ =( mult( mult( X, X ), mult( ld( X, Y ), X ) ), mult( X, mult( 
% 0.74/1.10    Y, X ) ) ) ] )
% 0.74/1.10  , clause( 206, [ =( mult( mult( X, X ), mult( ld( X, Y ), X ) ), mult( X, 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.10     )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 210, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.10  , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 213, [ =( mult( ld( X, Y ), X ), ld( mult( X, X ), mult( X, mult( Y
% 0.74/1.10    , X ) ) ) ) ] )
% 0.74/1.10  , clause( 80, [ =( mult( mult( X, X ), mult( ld( X, Y ), X ) ), mult( X, 
% 0.74/1.10    mult( Y, X ) ) ) ] )
% 0.74/1.10  , 0, clause( 210, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.10  , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.74/1.10    :=( X, mult( X, X ) ), :=( Y, mult( ld( X, Y ), X ) )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 214, [ =( ld( mult( X, X ), mult( X, mult( Y, X ) ) ), mult( ld( X
% 0.74/1.10    , Y ), X ) ) ] )
% 0.74/1.10  , clause( 213, [ =( mult( ld( X, Y ), X ), ld( mult( X, X ), mult( X, mult( 
% 0.74/1.10    Y, X ) ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 86, [ =( ld( mult( X, X ), mult( X, mult( Y, X ) ) ), mult( ld( X, 
% 0.74/1.10    Y ), X ) ) ] )
% 0.74/1.10  , clause( 214, [ =( ld( mult( X, X ), mult( X, mult( Y, X ) ) ), mult( ld( 
% 0.74/1.10    X, Y ), X ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.10     )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 216, [ =( mult( ld( X, Y ), X ), ld( mult( X, X ), mult( X, mult( Y
% 0.74/1.10    , X ) ) ) ) ] )
% 0.74/1.10  , clause( 86, [ =( ld( mult( X, X ), mult( X, mult( Y, X ) ) ), mult( ld( X
% 0.74/1.10    , Y ), X ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 220, [ =( mult( ld( X, unit ), X ), ld( mult( X, X ), mult( X, X )
% 0.74/1.10     ) ) ] )
% 0.74/1.10  , clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.74/1.10  , 0, clause( 216, [ =( mult( ld( X, Y ), X ), ld( mult( X, X ), mult( X, 
% 0.74/1.10    mult( Y, X ) ) ) ) ] )
% 0.74/1.10  , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.74/1.10    :=( Y, unit )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 222, [ =( mult( ld( X, unit ), X ), unit ) ] )
% 0.74/1.10  , clause( 14, [ =( ld( X, X ), unit ) ] )
% 0.74/1.10  , 0, clause( 220, [ =( mult( ld( X, unit ), X ), ld( mult( X, X ), mult( X
% 0.74/1.10    , X ) ) ) ] )
% 0.74/1.10  , 0, 6, substitution( 0, [ :=( X, mult( X, X ) )] ), substitution( 1, [ 
% 0.74/1.10    :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 89, [ =( mult( ld( X, unit ), X ), unit ) ] )
% 0.74/1.10  , clause( 222, [ =( mult( ld( X, unit ), X ), unit ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 225, [ ~( =( tuple( unit, unit ), tuple( mult( ld( x0, X ), x0 ), X
% 0.74/1.10     ) ) ) ] )
% 0.74/1.10  , clause( 26, [ ~( =( tuple( mult( ld( x0, X ), x0 ), X ), tuple( unit, 
% 0.74/1.10    unit ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 226, [ ~( =( tuple( unit, unit ), tuple( unit, unit ) ) ) ] )
% 0.74/1.10  , clause( 89, [ =( mult( ld( X, unit ), X ), unit ) ] )
% 0.74/1.10  , 0, clause( 225, [ ~( =( tuple( unit, unit ), tuple( mult( ld( x0, X ), x0
% 0.74/1.10     ), X ) ) ) ] )
% 0.74/1.10  , 0, 6, substitution( 0, [ :=( X, x0 )] ), substitution( 1, [ :=( X, unit )] )
% 0.74/1.10    ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqrefl(
% 0.74/1.10  clause( 227, [] )
% 0.74/1.10  , clause( 226, [ ~( =( tuple( unit, unit ), tuple( unit, unit ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 96, [] )
% 0.74/1.10  , clause( 227, [] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  end.
% 0.74/1.10  
% 0.74/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.10  
% 0.74/1.10  Memory use:
% 0.74/1.10  
% 0.74/1.10  space for terms:        1813
% 0.74/1.10  space for clauses:      16022
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  clauses generated:      1360
% 0.74/1.10  clauses kept:           97
% 0.74/1.10  clauses selected:       53
% 0.74/1.10  clauses deleted:        1
% 0.74/1.10  clauses inuse deleted:  0
% 0.74/1.10  
% 0.74/1.10  subsentry:          489
% 0.74/1.10  literals s-matched: 176
% 0.74/1.10  literals matched:   173
% 0.74/1.10  full subsumption:   0
% 0.74/1.10  
% 0.74/1.10  checksum:           -219650568
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Bliksem ended
%------------------------------------------------------------------------------