TSTP Solution File: ANA027-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : ANA027-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 : Thu Jul 14 18:38:28 EDT 2022

% Result   : Unsatisfiable 0.68s 1.06s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ANA027-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n029.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 : Fri Jul  8 07:02:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.68/1.06  *** allocated 10000 integers for termspace/termends
% 0.68/1.06  *** allocated 10000 integers for clauses
% 0.68/1.06  *** allocated 10000 integers for justifications
% 0.68/1.06  Bliksem 1.12
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Automatic Strategy Selection
% 0.68/1.06  
% 0.68/1.06  Clauses:
% 0.68/1.06  [
% 0.68/1.06     [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'( 'v_x' ), 
% 0.68/1.06    't_b' ), 't_b' ) ],
% 0.68/1.06     [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ],
% 0.68/1.06     [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 'v_x' ), 
% 0.68/1.06    't_b' ), 't_b' ) ) ],
% 0.68/1.06     [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 0.68/1.06     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 0.68/1.06    , Y, X ), Y ) ],
% 0.68/1.06     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 0.68/1.06    'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'( 'c_plus'( 
% 0.68/1.06    Y, T, X ), Z, X ) ],
% 0.68/1.06     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 0.68/1.06    'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, 
% 0.68/1.06    'c_minus'( T, Z, X ), X ) ],
% 0.68/1.06     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.68/1.06    ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ],
% 0.68/1.06     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 0.68/1.06    X ) ],
% 0.68/1.06     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.68/1.06     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.68/1.06     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.68/1.06     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ]
% 0.68/1.06  ] .
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  percentage equality = 0.038462, percentage horn = 1.000000
% 0.68/1.06  This is a problem with some equality
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Options Used:
% 0.68/1.06  
% 0.68/1.06  useres =            1
% 0.68/1.06  useparamod =        1
% 0.68/1.06  useeqrefl =         1
% 0.68/1.06  useeqfact =         1
% 0.68/1.06  usefactor =         1
% 0.68/1.06  usesimpsplitting =  0
% 0.68/1.06  usesimpdemod =      5
% 0.68/1.06  usesimpres =        3
% 0.68/1.06  
% 0.68/1.06  resimpinuse      =  1000
% 0.68/1.06  resimpclauses =     20000
% 0.68/1.06  substype =          eqrewr
% 0.68/1.06  backwardsubs =      1
% 0.68/1.06  selectoldest =      5
% 0.68/1.06  
% 0.68/1.06  litorderings [0] =  split
% 0.68/1.06  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.68/1.06  
% 0.68/1.06  termordering =      kbo
% 0.68/1.06  
% 0.68/1.06  litapriori =        0
% 0.68/1.06  termapriori =       1
% 0.68/1.06  litaposteriori =    0
% 0.68/1.06  termaposteriori =   0
% 0.68/1.06  demodaposteriori =  0
% 0.68/1.06  ordereqreflfact =   0
% 0.68/1.06  
% 0.68/1.06  litselect =         negord
% 0.68/1.06  
% 0.68/1.06  maxweight =         15
% 0.68/1.06  maxdepth =          30000
% 0.68/1.06  maxlength =         115
% 0.68/1.06  maxnrvars =         195
% 0.68/1.06  excuselevel =       1
% 0.68/1.06  increasemaxweight = 1
% 0.68/1.06  
% 0.68/1.06  maxselected =       10000000
% 0.68/1.06  maxnrclauses =      10000000
% 0.68/1.06  
% 0.68/1.06  showgenerated =    0
% 0.68/1.06  showkept =         0
% 0.68/1.06  showselected =     0
% 0.68/1.06  showdeleted =      0
% 0.68/1.06  showresimp =       1
% 0.68/1.06  showstatus =       2000
% 0.68/1.06  
% 0.68/1.06  prologoutput =     1
% 0.68/1.06  nrgoals =          5000000
% 0.68/1.06  totalproof =       1
% 0.68/1.06  
% 0.68/1.06  Symbols occurring in the translation:
% 0.68/1.06  
% 0.68/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.68/1.06  .  [1, 2]      (w:1, o:34, a:1, s:1, b:0), 
% 0.68/1.06  !  [4, 1]      (w:0, o:20, a:1, s:1, b:0), 
% 0.68/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.06  'c_0'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.68/1.06  'v_x'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.68/1.06  'v_f'  [41, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.68/1.06  'v_k'  [42, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.68/1.06  't_b'  [43, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.68/1.06  'c_minus'  [44, 3]      (w:1, o:60, a:1, s:1, b:0), 
% 0.68/1.06  'c_lessequals'  [45, 3]      (w:1, o:59, a:1, s:1, b:0), 
% 0.68/1.06  'v_g'  [46, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.68/1.06  'class_Ring__and__Field_Oordered__idom'  [47, 1]      (w:1, o:28, a:1, s:1
% 0.68/1.06    , b:0), 
% 0.68/1.06  'class_OrderedGroup_Ocomm__monoid__add'  [49, 1]      (w:1, o:29, a:1, s:1
% 0.68/1.06    , b:0), 
% 0.68/1.06  'c_plus'  [51, 3]      (w:1, o:61, a:1, s:1, b:0), 
% 0.68/1.06  'class_OrderedGroup_Opordered__ab__group__add'  [52, 1]      (w:1, o:30, a:
% 0.68/1.06    1, s:1, b:0), 
% 0.68/1.06  'class_Orderings_Oorder'  [56, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 0.68/1.06  'class_LOrder_Ojoin__semilorder'  [60, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 0.68/1.06    
% 0.68/1.06  'class_OrderedGroup_Olordered__ab__group__abs'  [61, 1]      (w:1, o:33, a:
% 0.68/1.06    1, s:1, b:0).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Starting Search:
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Bliksems!, er is een bewijs:
% 0.68/1.06  % SZS status Unsatisfiable
% 0.68/1.06  % SZS output start Refutation
% 0.68/1.06  
% 0.68/1.06  clause( 0, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'( 'v_x'
% 0.68/1.06     ), 't_b' ), 't_b' ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 1, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 2, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 
% 0.68/1.06    'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 3, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 4, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 
% 0.68/1.06    'c_0', Y, X ), Y ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 5, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 0.68/1.06    'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'( 'c_plus'( 
% 0.68/1.06    Y, T, X ), Z, X ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 6, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 0.68/1.06    'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, 
% 0.68/1.06    'c_minus'( T, Z, X ), X ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 7, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.68/1.06     ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 8, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 0.68/1.06    'class_Orderings_Oorder'( X ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 9, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 10, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 11, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 12, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 14, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 15, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 17, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 20, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 22, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 27, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 35, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) )
% 0.68/1.06     ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 52, [ ~( 'c_lessequals'( X, 'v_f'( 'v_x' ), 't_b' ) ), ~( 
% 0.68/1.06    'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 78, [] )
% 0.68/1.06  .
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  % SZS output end Refutation
% 0.68/1.06  found a proof!
% 0.68/1.06  
% 0.68/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.06  
% 0.68/1.06  initialclauses(
% 0.68/1.06  [ clause( 80, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'( 
% 0.68/1.06    'v_x' ), 't_b' ), 't_b' ) ] )
% 0.68/1.06  , clause( 81, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ]
% 0.68/1.06     )
% 0.68/1.06  , clause( 82, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 
% 0.68/1.06    'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.68/1.06  , clause( 83, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.68/1.06  , clause( 84, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.68/1.06    'c_plus'( 'c_0', Y, X ), Y ) ] )
% 0.68/1.06  , clause( 85, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.68/1.06    ~( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'( 
% 0.68/1.06    'c_plus'( Y, T, X ), Z, X ) ] )
% 0.68/1.06  , clause( 86, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.68/1.06    ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, 
% 0.68/1.06    'c_minus'( T, Z, X ), X ) ] )
% 0.68/1.06  , clause( 87, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.68/1.06    , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.68/1.06  , clause( 88, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 0.68/1.06    'class_Orderings_Oorder'( X ) ] )
% 0.68/1.06  , clause( 89, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.68/1.06  , clause( 90, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.68/1.06  , clause( 91, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.68/1.06  , clause( 92, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.68/1.06  ] ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 0, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'( 'v_x'
% 0.68/1.06     ), 't_b' ), 't_b' ) ] )
% 0.68/1.06  , clause( 80, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'( 
% 0.68/1.06    'v_x' ), 't_b' ), 't_b' ) ] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 1, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ] )
% 0.68/1.06  , clause( 81, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ]
% 0.68/1.06     )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 2, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 
% 0.68/1.06    'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.68/1.06  , clause( 82, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 
% 0.68/1.06    'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 3, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.68/1.06  , clause( 83, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 4, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 
% 0.68/1.06    'c_0', Y, X ), Y ) ] )
% 0.68/1.06  , clause( 84, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.68/1.06    'c_plus'( 'c_0', Y, X ), Y ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.06     ), ==>( 1, 1 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 5, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 0.68/1.06    'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'( 'c_plus'( 
% 0.68/1.06    Y, T, X ), Z, X ) ] )
% 0.68/1.06  , clause( 85, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.68/1.06    ~( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'( 
% 0.68/1.06    'c_plus'( Y, T, X ), Z, X ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.68/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 6, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 0.68/1.06    'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, 
% 0.68/1.06    'c_minus'( T, Z, X ), X ) ] )
% 0.68/1.06  , clause( 86, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.68/1.06    ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, 
% 0.68/1.06    'c_minus'( T, Z, X ), X ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.68/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 7, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.68/1.06     ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.68/1.06  , clause( 87, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.68/1.06    , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.68/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.68/1.06     ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 8, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 0.68/1.06    'class_Orderings_Oorder'( X ) ] )
% 0.68/1.06  , clause( 88, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 0.68/1.06    'class_Orderings_Oorder'( X ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.06    1 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 9, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.68/1.06  , clause( 89, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.06    1 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 10, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.68/1.06  , clause( 90, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.06    1 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 11, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.68/1.06  , clause( 91, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.06    1 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 12, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.68/1.06  , clause( 92, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.06    1 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 108, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.68/1.06  , clause( 12, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.68/1.06  , 0, clause( 3, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ] )
% 0.68/1.06  , clause( 108, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' ) ]
% 0.68/1.06     )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 109, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.68/1.06  , clause( 11, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.68/1.06  , 0, clause( 3, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 14, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.68/1.06  , clause( 109, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 110, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.68/1.06  , clause( 10, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.68/1.06  , 0, clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' )
% 0.68/1.06     ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 15, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.68/1.06  , clause( 110, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 111, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.68/1.06  , clause( 9, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.68/1.06    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.68/1.06  , 0, clause( 13, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_b' )
% 0.68/1.06     ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 17, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ] )
% 0.68/1.06  , clause( 111, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ]
% 0.68/1.06     )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 112, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.68/1.06  , clause( 8, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 0.68/1.06    'class_Orderings_Oorder'( X ) ] )
% 0.68/1.06  , 0, clause( 15, [ 'class_LOrder_Ojoin__semilorder'( 't_b' ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 20, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.68/1.06  , clause( 112, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  eqswap(
% 0.68/1.06  clause( 113, [ =( X, 'c_plus'( 'c_0', X, Y ) ), ~( 
% 0.68/1.06    'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ] )
% 0.68/1.06  , clause( 4, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.68/1.06    'c_plus'( 'c_0', Y, X ), Y ) ] )
% 0.68/1.06  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 114, [ =( X, 'c_plus'( 'c_0', X, 't_b' ) ) ] )
% 0.68/1.06  , clause( 113, [ =( X, 'c_plus'( 'c_0', X, Y ) ), ~( 
% 0.68/1.06    'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ] )
% 0.68/1.06  , 1, clause( 14, [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_b' ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, 't_b' )] ), substitution( 1, [] )
% 0.68/1.06    ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  eqswap(
% 0.68/1.06  clause( 115, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.68/1.06  , clause( 114, [ =( X, 'c_plus'( 'c_0', X, 't_b' ) ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 22, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.68/1.06  , clause( 115, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 117, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) )
% 0.68/1.06    , 'c_lessequals'( 'c_plus'( 'c_0', 'v_k'( 'v_x' ), 't_b' ), 'v_f'( 'v_x'
% 0.68/1.06     ), 't_b' ) ] )
% 0.68/1.06  , clause( 5, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.68/1.06    ~( 'c_lessequals'( Y, 'c_minus'( Z, T, X ), X ) ), 'c_lessequals'( 
% 0.68/1.06    'c_plus'( Y, T, X ), Z, X ) ] )
% 0.68/1.06  , 1, clause( 0, [ 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_k'( 
% 0.68/1.06    'v_x' ), 't_b' ), 't_b' ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'c_0' ), :=( Z, 'v_f'( 'v_x'
% 0.68/1.06     ) ), :=( T, 'v_k'( 'v_x' ) )] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  paramod(
% 0.68/1.06  clause( 118, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ), ~( 
% 0.68/1.06    'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ) ] )
% 0.68/1.06  , clause( 22, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.68/1.06  , 0, clause( 117, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( 
% 0.68/1.06    't_b' ) ), 'c_lessequals'( 'c_plus'( 'c_0', 'v_k'( 'v_x' ), 't_b' ), 
% 0.68/1.06    'v_f'( 'v_x' ), 't_b' ) ] )
% 0.68/1.06  , 1, 1, substitution( 0, [ :=( X, 'v_k'( 'v_x' ) )] ), substitution( 1, [] )
% 0.68/1.06    ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 119, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ] )
% 0.68/1.06  , clause( 118, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ), 
% 0.68/1.06    ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ) ] )
% 0.68/1.06  , 1, clause( 17, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' )
% 0.68/1.06     ] )
% 0.68/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 27, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ] )
% 0.68/1.06  , clause( 119, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) ]
% 0.68/1.06     )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 121, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) )
% 0.68/1.06    , ~( 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 'v_f'( 
% 0.68/1.06    'v_x' ), 't_b' ) ) ] )
% 0.68/1.06  , clause( 2, [ ~( 'c_lessequals'( 'c_0', 'c_minus'( 'v_f'( 'v_x' ), 'v_g'( 
% 0.68/1.06    'v_x' ), 't_b' ), 't_b' ) ) ] )
% 0.68/1.06  , 0, clause( 6, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.68/1.06    , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, 
% 0.68/1.06    'c_minus'( T, Z, X ), X ) ] )
% 0.68/1.06  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' ), :=( Y, 'c_0'
% 0.68/1.06     ), :=( Z, 'v_g'( 'v_x' ) ), :=( T, 'v_f'( 'v_x' ) )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  paramod(
% 0.68/1.06  clause( 122, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) )
% 0.68/1.06    , ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ) ] )
% 0.68/1.06  , clause( 22, [ =( 'c_plus'( 'c_0', X, 't_b' ), X ) ] )
% 0.68/1.06  , 0, clause( 121, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( 
% 0.68/1.06    't_b' ) ), ~( 'c_lessequals'( 'c_plus'( 'c_0', 'v_g'( 'v_x' ), 't_b' ), 
% 0.68/1.06    'v_f'( 'v_x' ), 't_b' ) ) ] )
% 0.68/1.06  , 1, 2, substitution( 0, [ :=( X, 'v_g'( 'v_x' ) )] ), substitution( 1, [] )
% 0.68/1.06    ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 123, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) )
% 0.68/1.06     ] )
% 0.68/1.06  , clause( 122, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.68/1.06     ), ~( 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' ) ) ] )
% 0.68/1.06  , 1, clause( 17, [ 'class_OrderedGroup_Opordered__ab__group__add'( 't_b' )
% 0.68/1.06     ] )
% 0.68/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 35, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' ) )
% 0.68/1.06     ] )
% 0.68/1.06  , clause( 123, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.68/1.06     ) ] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 124, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'( X
% 0.68/1.06    , 'v_f'( 'v_x' ), 't_b' ) ), ~( 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b'
% 0.68/1.06     ) ) ] )
% 0.68/1.06  , clause( 35, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.68/1.06     ) ] )
% 0.68/1.06  , 0, clause( 7, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 0.68/1.06    , Z, X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ]
% 0.68/1.06     )
% 0.68/1.06  , 3, substitution( 0, [] ), substitution( 1, [ :=( X, 't_b' ), :=( Y, X ), 
% 0.68/1.06    :=( Z, 'v_f'( 'v_x' ) ), :=( T, 'v_g'( 'v_x' ) )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 125, [ ~( 'c_lessequals'( X, 'v_f'( 'v_x' ), 't_b' ) ), ~( 
% 0.68/1.06    'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ) ] )
% 0.68/1.06  , clause( 124, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'( 
% 0.68/1.06    X, 'v_f'( 'v_x' ), 't_b' ) ), ~( 'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b'
% 0.68/1.06     ) ) ] )
% 0.68/1.06  , 0, clause( 20, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 52, [ ~( 'c_lessequals'( X, 'v_f'( 'v_x' ), 't_b' ) ), ~( 
% 0.68/1.06    'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ) ] )
% 0.68/1.06  , clause( 125, [ ~( 'c_lessequals'( X, 'v_f'( 'v_x' ), 't_b' ) ), ~( 
% 0.68/1.06    'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.68/1.06    1 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 126, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) )
% 0.68/1.06     ] )
% 0.68/1.06  , clause( 52, [ ~( 'c_lessequals'( X, 'v_f'( 'v_x' ), 't_b' ) ), ~( 
% 0.68/1.06    'c_lessequals'( 'v_g'( 'v_x' ), X, 't_b' ) ) ] )
% 0.68/1.06  , 0, clause( 27, [ 'c_lessequals'( 'v_k'( 'v_x' ), 'v_f'( 'v_x' ), 't_b' )
% 0.68/1.06     ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, 'v_k'( 'v_x' ) )] ), substitution( 1, [] )
% 0.68/1.06    ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 127, [] )
% 0.68/1.06  , clause( 126, [ ~( 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' )
% 0.68/1.06     ) ] )
% 0.68/1.06  , 0, clause( 1, [ 'c_lessequals'( 'v_g'( 'v_x' ), 'v_k'( 'v_x' ), 't_b' ) ]
% 0.68/1.06     )
% 0.68/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 78, [] )
% 0.68/1.06  , clause( 127, [] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  end.
% 0.68/1.06  
% 0.68/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.06  
% 0.68/1.06  Memory use:
% 0.68/1.06  
% 0.68/1.06  space for terms:        1342
% 0.68/1.06  space for clauses:      5399
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  clauses generated:      144
% 0.68/1.06  clauses kept:           79
% 0.68/1.06  clauses selected:       32
% 0.68/1.06  clauses deleted:        0
% 0.68/1.06  clauses inuse deleted:  0
% 0.68/1.06  
% 0.68/1.06  subsentry:          158
% 0.68/1.06  literals s-matched: 106
% 0.68/1.06  literals matched:   106
% 0.68/1.06  full subsumption:   38
% 0.68/1.06  
% 0.68/1.06  checksum:           1636913503
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Bliksem ended
%------------------------------------------------------------------------------