TSTP Solution File: MGT058-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : MGT058-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 : Sun Jul 17 21:57:57 EDT 2022

% Result   : Unsatisfiable 0.61s 0.99s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : MGT058-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11  % Command  : bliksem %s
% 0.11/0.30  % Computer : n020.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % DateTime : Thu Jun  9 12:08:21 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.61/0.99  *** allocated 10000 integers for termspace/termends
% 0.61/0.99  *** allocated 10000 integers for clauses
% 0.61/0.99  *** allocated 10000 integers for justifications
% 0.61/0.99  Bliksem 1.12
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  Automatic Strategy Selection
% 0.61/0.99  
% 0.61/0.99  Clauses:
% 0.61/0.99  [
% 0.61/0.99     [ ~( 'smaller_or_equal'( X, Y ) ), smaller( X, Y ), =( X, Y ) ],
% 0.61/0.99     [ ~( smaller( X, Y ) ), 'smaller_or_equal'( X, Y ) ],
% 0.61/0.99     [ ~( =( X, Y ) ), 'smaller_or_equal'( X, Y ) ],
% 0.61/0.99     [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ],
% 0.61/0.99     [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ],
% 0.61/0.99     [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ],
% 0.61/0.99     [ ~( smaller( X, Y ) ), greater( Y, X ) ],
% 0.61/0.99     [ ~( greater( X, Y ) ), smaller( Y, X ) ],
% 0.61/0.99     [ ~( greater( X, Y ) ), ~( greater( Y, X ) ) ],
% 0.61/0.99     [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z ) ],
% 0.61/0.99     [ smaller( X, Y ), =( X, Y ), greater( X, Y ) ],
% 0.61/0.99     [ ~( 'fragile_position'( X ) ), ~( 'smaller_or_equal'( age( X, Y ), 
% 0.61/0.99    sigma ) ), 'positional_advantage'( X, Y ) ],
% 0.61/0.99     [ ~( 'fragile_position'( X ) ), ~( greater( age( X, Y ), sigma ) ), ~( 
% 0.61/0.99    'positional_advantage'( X, Y ) ) ],
% 0.61/0.99     [ 'smaller_or_equal'( age( X, sk1( X ) ), sigma ), greater( age( X, sk1( 
% 0.61/0.99    X ) ), sigma ), 'fragile_position'( X ) ],
% 0.61/0.99     [ 'smaller_or_equal'( age( X, sk1( X ) ), sigma ), 
% 0.61/0.99    'positional_advantage'( X, sk1( X ) ), 'fragile_position'( X ) ],
% 0.61/0.99     [ ~( 'positional_advantage'( X, sk1( X ) ) ), greater( age( X, sk1( X )
% 0.61/0.99     ), sigma ), 'fragile_position'( X ) ],
% 0.61/0.99     [ ~( 'positional_advantage'( X, sk1( X ) ) ), 'positional_advantage'( X
% 0.61/0.99    , sk1( X ) ), 'fragile_position'( X ) ],
% 0.61/0.99     [ ~( 'robust_position'( X ) ), ~( 'smaller_or_equal'( age( X, Y ), tau )
% 0.61/0.99     ), ~( 'positional_advantage'( X, Y ) ) ],
% 0.61/0.99     [ ~( 'robust_position'( X ) ), ~( greater( age( X, Y ), tau ) ), 
% 0.61/0.99    'positional_advantage'( X, Y ) ],
% 0.61/0.99     [ 'smaller_or_equal'( age( X, sk2( X ) ), tau ), greater( age( X, sk2( X
% 0.61/0.99     ) ), tau ), 'robust_position'( X ) ],
% 0.61/0.99     [ 'smaller_or_equal'( age( X, sk2( X ) ), tau ), ~( 
% 0.61/0.99    'positional_advantage'( X, sk2( X ) ) ), 'robust_position'( X ) ],
% 0.61/0.99     [ 'positional_advantage'( X, sk2( X ) ), greater( age( X, sk2( X ) ), 
% 0.61/0.99    tau ), 'robust_position'( X ) ],
% 0.61/0.99     [ 'positional_advantage'( X, sk2( X ) ), ~( 'positional_advantage'( X, 
% 0.61/0.99    sk2( X ) ) ), 'robust_position'( X ) ],
% 0.61/0.99     [ organization( sk3 ) ],
% 0.61/0.99     [ =( age( sk3, sk4 ), zero ) ],
% 0.61/0.99     [ 'greater_or_equal'( sigma, zero ) ],
% 0.61/0.99     [ 'greater_or_equal'( tau, zero ) ],
% 0.61/0.99     [ 'fragile_position'( sk3 ) ],
% 0.61/0.99     [ 'robust_position'( sk3 ) ]
% 0.61/0.99  ] .
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  percentage equality = 0.096774, percentage horn = 0.666667
% 0.61/0.99  This is a problem with some equality
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  Options Used:
% 0.61/0.99  
% 0.61/0.99  useres =            1
% 0.61/0.99  useparamod =        1
% 0.61/0.99  useeqrefl =         1
% 0.61/0.99  useeqfact =         1
% 0.61/0.99  usefactor =         1
% 0.61/0.99  usesimpsplitting =  0
% 0.61/0.99  usesimpdemod =      5
% 0.61/0.99  usesimpres =        3
% 0.61/0.99  
% 0.61/0.99  resimpinuse      =  1000
% 0.61/0.99  resimpclauses =     20000
% 0.61/0.99  substype =          eqrewr
% 0.61/0.99  backwardsubs =      1
% 0.61/0.99  selectoldest =      5
% 0.61/0.99  
% 0.61/0.99  litorderings [0] =  split
% 0.61/0.99  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.61/0.99  
% 0.61/0.99  termordering =      kbo
% 0.61/0.99  
% 0.61/0.99  litapriori =        0
% 0.61/0.99  termapriori =       1
% 0.61/0.99  litaposteriori =    0
% 0.61/0.99  termaposteriori =   0
% 0.61/0.99  demodaposteriori =  0
% 0.61/0.99  ordereqreflfact =   0
% 0.61/0.99  
% 0.61/0.99  litselect =         negord
% 0.61/0.99  
% 0.61/0.99  maxweight =         15
% 0.61/0.99  maxdepth =          30000
% 0.61/0.99  maxlength =         115
% 0.61/0.99  maxnrvars =         195
% 0.61/0.99  excuselevel =       1
% 0.61/0.99  increasemaxweight = 1
% 0.61/0.99  
% 0.61/0.99  maxselected =       10000000
% 0.61/0.99  maxnrclauses =      10000000
% 0.61/0.99  
% 0.61/0.99  showgenerated =    0
% 0.61/0.99  showkept =         0
% 0.61/0.99  showselected =     0
% 0.61/0.99  showdeleted =      0
% 0.61/0.99  showresimp =       1
% 0.61/0.99  showstatus =       2000
% 0.61/0.99  
% 0.61/0.99  prologoutput =     1
% 0.61/0.99  nrgoals =          5000000
% 0.61/0.99  totalproof =       1
% 0.61/0.99  
% 0.61/0.99  Symbols occurring in the translation:
% 0.61/0.99  
% 0.61/0.99  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.61/0.99  .  [1, 2]      (w:1, o:27, a:1, s:1, b:0), 
% 0.61/0.99  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 0.61/0.99  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.61/0.99  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.61/0.99  'smaller_or_equal'  [41, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 0.61/0.99  smaller  [42, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.61/0.99  'greater_or_equal'  [43, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 0.61/0.99  greater  [44, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 0.61/0.99  'fragile_position'  [46, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.61/0.99  age  [47, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 0.61/0.99  sigma  [48, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.61/0.99  'positional_advantage'  [49, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.61/0.99  sk1  [50, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.61/0.99  'robust_position'  [51, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.61/0.99  tau  [52, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.61/0.99  sk2  [53, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.61/0.99  sk3  [54, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.61/0.99  organization  [55, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.61/0.99  sk4  [56, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.61/0.99  zero  [57, 0]      (w:1, o:16, a:1, s:1, b:0).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  Starting Search:
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  Bliksems!, er is een bewijs:
% 0.61/0.99  % SZS status Unsatisfiable
% 0.61/0.99  % SZS output start Refutation
% 0.61/0.99  
% 0.61/0.99  clause( 1, [ ~( smaller( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 2, [ ~( =( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 3, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ]
% 0.61/0.99     )
% 0.61/0.99  .
% 0.61/0.99  clause( 6, [ ~( smaller( X, Y ) ), greater( Y, X ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 7, [ ~( greater( X, Y ) ), smaller( Y, X ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 8, [ ~( greater( X, Y ) ), ~( greater( Y, X ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 10, [ smaller( X, Y ), =( X, Y ), greater( X, Y ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 11, [ ~( 'fragile_position'( X ) ), ~( 'smaller_or_equal'( age( X, 
% 0.61/0.99    Y ), sigma ) ), 'positional_advantage'( X, Y ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 12, [ ~( 'fragile_position'( X ) ), ~( greater( age( X, Y ), sigma
% 0.61/0.99     ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 16, [ ~( 'robust_position'( X ) ), ~( 'smaller_or_equal'( age( X, Y
% 0.61/0.99     ), tau ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 22, [ =( age( sk3, sk4 ), zero ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 23, [ 'greater_or_equal'( sigma, zero ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 24, [ 'greater_or_equal'( tau, zero ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 25, [ 'fragile_position'( sk3 ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 26, [ 'robust_position'( sk3 ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 27, [ 'smaller_or_equal'( X, X ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 29, [ ~( greater( X, X ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 48, [ ~( greater( X, Y ) ), 'smaller_or_equal'( Y, X ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 51, [ ~( smaller( X, X ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 61, [ greater( sigma, zero ), =( zero, sigma ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 62, [ greater( tau, zero ), =( zero, tau ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 86, [ =( zero, sigma ), ~( greater( zero, sigma ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 163, [ greater( X, Y ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 227, [ ~( 'smaller_or_equal'( zero, sigma ) ), 
% 0.61/0.99    'positional_advantage'( sk3, sk4 ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 273, [ ~( greater( zero, sigma ) ), ~( 'smaller_or_equal'( sigma, 
% 0.61/0.99    sigma ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 295, [ ~( greater( zero, sigma ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 296, [ 'smaller_or_equal'( zero, sigma ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 310, [ 'positional_advantage'( sk3, sk4 ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 570, [ ~( 'smaller_or_equal'( zero, tau ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 600, [ ~( =( zero, tau ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 601, [ ~( greater( tau, zero ) ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 764, [ ~( =( X, tau ) ), smaller( X, zero ), greater( X, zero ) ]
% 0.61/0.99     )
% 0.61/0.99  .
% 0.61/0.99  clause( 773, [ smaller( tau, tau ) ] )
% 0.61/0.99  .
% 0.61/0.99  clause( 796, [] )
% 0.61/0.99  .
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  % SZS output end Refutation
% 0.61/0.99  found a proof!
% 0.61/0.99  
% 0.61/0.99  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.61/0.99  
% 0.61/0.99  initialclauses(
% 0.61/0.99  [ clause( 798, [ ~( 'smaller_or_equal'( X, Y ) ), smaller( X, Y ), =( X, Y
% 0.61/0.99     ) ] )
% 0.61/0.99  , clause( 799, [ ~( smaller( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , clause( 800, [ ~( =( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , clause( 801, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y
% 0.61/0.99     ) ] )
% 0.61/0.99  , clause( 802, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 0.61/0.99  , clause( 803, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 0.61/0.99  , clause( 804, [ ~( smaller( X, Y ) ), greater( Y, X ) ] )
% 0.61/0.99  , clause( 805, [ ~( greater( X, Y ) ), smaller( Y, X ) ] )
% 0.61/0.99  , clause( 806, [ ~( greater( X, Y ) ), ~( greater( Y, X ) ) ] )
% 0.61/0.99  , clause( 807, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z
% 0.61/0.99     ) ] )
% 0.61/0.99  , clause( 808, [ smaller( X, Y ), =( X, Y ), greater( X, Y ) ] )
% 0.61/0.99  , clause( 809, [ ~( 'fragile_position'( X ) ), ~( 'smaller_or_equal'( age( 
% 0.61/0.99    X, Y ), sigma ) ), 'positional_advantage'( X, Y ) ] )
% 0.61/0.99  , clause( 810, [ ~( 'fragile_position'( X ) ), ~( greater( age( X, Y ), 
% 0.61/0.99    sigma ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/0.99  , clause( 811, [ 'smaller_or_equal'( age( X, sk1( X ) ), sigma ), greater( 
% 0.61/0.99    age( X, sk1( X ) ), sigma ), 'fragile_position'( X ) ] )
% 0.61/0.99  , clause( 812, [ 'smaller_or_equal'( age( X, sk1( X ) ), sigma ), 
% 0.61/0.99    'positional_advantage'( X, sk1( X ) ), 'fragile_position'( X ) ] )
% 0.61/0.99  , clause( 813, [ ~( 'positional_advantage'( X, sk1( X ) ) ), greater( age( 
% 0.61/0.99    X, sk1( X ) ), sigma ), 'fragile_position'( X ) ] )
% 0.61/0.99  , clause( 814, [ ~( 'positional_advantage'( X, sk1( X ) ) ), 
% 0.61/0.99    'positional_advantage'( X, sk1( X ) ), 'fragile_position'( X ) ] )
% 0.61/0.99  , clause( 815, [ ~( 'robust_position'( X ) ), ~( 'smaller_or_equal'( age( X
% 0.61/0.99    , Y ), tau ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/0.99  , clause( 816, [ ~( 'robust_position'( X ) ), ~( greater( age( X, Y ), tau
% 0.61/0.99     ) ), 'positional_advantage'( X, Y ) ] )
% 0.61/0.99  , clause( 817, [ 'smaller_or_equal'( age( X, sk2( X ) ), tau ), greater( 
% 0.61/0.99    age( X, sk2( X ) ), tau ), 'robust_position'( X ) ] )
% 0.61/0.99  , clause( 818, [ 'smaller_or_equal'( age( X, sk2( X ) ), tau ), ~( 
% 0.61/0.99    'positional_advantage'( X, sk2( X ) ) ), 'robust_position'( X ) ] )
% 0.61/0.99  , clause( 819, [ 'positional_advantage'( X, sk2( X ) ), greater( age( X, 
% 0.61/0.99    sk2( X ) ), tau ), 'robust_position'( X ) ] )
% 0.61/0.99  , clause( 820, [ 'positional_advantage'( X, sk2( X ) ), ~( 
% 0.61/0.99    'positional_advantage'( X, sk2( X ) ) ), 'robust_position'( X ) ] )
% 0.61/0.99  , clause( 821, [ organization( sk3 ) ] )
% 0.61/0.99  , clause( 822, [ =( age( sk3, sk4 ), zero ) ] )
% 0.61/0.99  , clause( 823, [ 'greater_or_equal'( sigma, zero ) ] )
% 0.61/0.99  , clause( 824, [ 'greater_or_equal'( tau, zero ) ] )
% 0.61/0.99  , clause( 825, [ 'fragile_position'( sk3 ) ] )
% 0.61/0.99  , clause( 826, [ 'robust_position'( sk3 ) ] )
% 0.61/0.99  ] ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 1, [ ~( smaller( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , clause( 799, [ ~( smaller( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 2, [ ~( =( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , clause( 800, [ ~( =( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 3, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ]
% 0.61/0.99     )
% 0.61/0.99  , clause( 801, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y
% 0.61/0.99     ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 6, [ ~( smaller( X, Y ) ), greater( Y, X ) ] )
% 0.61/0.99  , clause( 804, [ ~( smaller( X, Y ) ), greater( Y, X ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 7, [ ~( greater( X, Y ) ), smaller( Y, X ) ] )
% 0.61/0.99  , clause( 805, [ ~( greater( X, Y ) ), smaller( Y, X ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 8, [ ~( greater( X, Y ) ), ~( greater( Y, X ) ) ] )
% 0.61/0.99  , clause( 806, [ ~( greater( X, Y ) ), ~( greater( Y, X ) ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 10, [ smaller( X, Y ), =( X, Y ), greater( X, Y ) ] )
% 0.61/0.99  , clause( 808, [ smaller( X, Y ), =( X, Y ), greater( X, Y ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 11, [ ~( 'fragile_position'( X ) ), ~( 'smaller_or_equal'( age( X, 
% 0.61/0.99    Y ), sigma ) ), 'positional_advantage'( X, Y ) ] )
% 0.61/0.99  , clause( 809, [ ~( 'fragile_position'( X ) ), ~( 'smaller_or_equal'( age( 
% 0.61/0.99    X, Y ), sigma ) ), 'positional_advantage'( X, Y ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 12, [ ~( 'fragile_position'( X ) ), ~( greater( age( X, Y ), sigma
% 0.61/0.99     ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/0.99  , clause( 810, [ ~( 'fragile_position'( X ) ), ~( greater( age( X, Y ), 
% 0.61/0.99    sigma ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 16, [ ~( 'robust_position'( X ) ), ~( 'smaller_or_equal'( age( X, Y
% 0.61/0.99     ), tau ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/0.99  , clause( 815, [ ~( 'robust_position'( X ) ), ~( 'smaller_or_equal'( age( X
% 0.61/0.99    , Y ), tau ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/0.99     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 22, [ =( age( sk3, sk4 ), zero ) ] )
% 0.61/0.99  , clause( 822, [ =( age( sk3, sk4 ), zero ) ] )
% 0.61/0.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 23, [ 'greater_or_equal'( sigma, zero ) ] )
% 0.61/0.99  , clause( 823, [ 'greater_or_equal'( sigma, zero ) ] )
% 0.61/0.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 24, [ 'greater_or_equal'( tau, zero ) ] )
% 0.61/0.99  , clause( 824, [ 'greater_or_equal'( tau, zero ) ] )
% 0.61/0.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 25, [ 'fragile_position'( sk3 ) ] )
% 0.61/0.99  , clause( 825, [ 'fragile_position'( sk3 ) ] )
% 0.61/0.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 26, [ 'robust_position'( sk3 ) ] )
% 0.61/0.99  , clause( 826, [ 'robust_position'( sk3 ) ] )
% 0.61/0.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  eqswap(
% 0.61/0.99  clause( 914, [ ~( =( Y, X ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , clause( 2, [ ~( =( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  eqrefl(
% 0.61/0.99  clause( 915, [ 'smaller_or_equal'( X, X ) ] )
% 0.61/0.99  , clause( 914, [ ~( =( Y, X ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 27, [ 'smaller_or_equal'( X, X ) ] )
% 0.61/0.99  , clause( 915, [ 'smaller_or_equal'( X, X ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  factor(
% 0.61/0.99  clause( 916, [ ~( greater( X, X ) ) ] )
% 0.61/0.99  , clause( 8, [ ~( greater( X, Y ) ), ~( greater( Y, X ) ) ] )
% 0.61/0.99  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 29, [ ~( greater( X, X ) ) ] )
% 0.61/0.99  , clause( 916, [ ~( greater( X, X ) ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  resolution(
% 0.61/0.99  clause( 917, [ 'smaller_or_equal'( X, Y ), ~( greater( Y, X ) ) ] )
% 0.61/0.99  , clause( 1, [ ~( smaller( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , 0, clause( 7, [ ~( greater( X, Y ) ), smaller( Y, X ) ] )
% 0.61/0.99  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.61/0.99    , Y ), :=( Y, X )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 48, [ ~( greater( X, Y ) ), 'smaller_or_equal'( Y, X ) ] )
% 0.61/0.99  , clause( 917, [ 'smaller_or_equal'( X, Y ), ~( greater( Y, X ) ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.61/0.99     ), ==>( 1, 0 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  resolution(
% 0.61/0.99  clause( 918, [ ~( smaller( X, X ) ) ] )
% 0.61/0.99  , clause( 29, [ ~( greater( X, X ) ) ] )
% 0.61/0.99  , 0, clause( 6, [ ~( smaller( X, Y ) ), greater( Y, X ) ] )
% 0.61/0.99  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.61/0.99    , X )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 51, [ ~( smaller( X, X ) ) ] )
% 0.61/0.99  , clause( 918, [ ~( smaller( X, X ) ) ] )
% 0.61/0.99  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  eqswap(
% 0.61/0.99  clause( 919, [ =( Y, X ), ~( 'greater_or_equal'( X, Y ) ), greater( X, Y )
% 0.61/0.99     ] )
% 0.61/0.99  , clause( 3, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y )
% 0.61/0.99     ] )
% 0.61/0.99  , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  resolution(
% 0.61/0.99  clause( 920, [ =( zero, sigma ), greater( sigma, zero ) ] )
% 0.61/0.99  , clause( 919, [ =( Y, X ), ~( 'greater_or_equal'( X, Y ) ), greater( X, Y
% 0.61/0.99     ) ] )
% 0.61/0.99  , 1, clause( 23, [ 'greater_or_equal'( sigma, zero ) ] )
% 0.61/0.99  , 0, substitution( 0, [ :=( X, sigma ), :=( Y, zero )] ), substitution( 1
% 0.61/0.99    , [] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 61, [ greater( sigma, zero ), =( zero, sigma ) ] )
% 0.61/0.99  , clause( 920, [ =( zero, sigma ), greater( sigma, zero ) ] )
% 0.61/0.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.61/0.99     ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  eqswap(
% 0.61/0.99  clause( 922, [ =( Y, X ), ~( 'greater_or_equal'( X, Y ) ), greater( X, Y )
% 0.61/0.99     ] )
% 0.61/0.99  , clause( 3, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y )
% 0.61/0.99     ] )
% 0.61/0.99  , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  resolution(
% 0.61/0.99  clause( 923, [ =( zero, tau ), greater( tau, zero ) ] )
% 0.61/0.99  , clause( 922, [ =( Y, X ), ~( 'greater_or_equal'( X, Y ) ), greater( X, Y
% 0.61/0.99     ) ] )
% 0.61/0.99  , 1, clause( 24, [ 'greater_or_equal'( tau, zero ) ] )
% 0.61/0.99  , 0, substitution( 0, [ :=( X, tau ), :=( Y, zero )] ), substitution( 1, [] )
% 0.61/0.99    ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 62, [ greater( tau, zero ), =( zero, tau ) ] )
% 0.61/0.99  , clause( 923, [ =( zero, tau ), greater( tau, zero ) ] )
% 0.61/0.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.61/0.99     ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  eqswap(
% 0.61/0.99  clause( 925, [ =( sigma, zero ), greater( sigma, zero ) ] )
% 0.61/0.99  , clause( 61, [ greater( sigma, zero ), =( zero, sigma ) ] )
% 0.61/0.99  , 1, substitution( 0, [] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  resolution(
% 0.61/0.99  clause( 926, [ ~( greater( zero, sigma ) ), =( sigma, zero ) ] )
% 0.61/0.99  , clause( 8, [ ~( greater( X, Y ) ), ~( greater( Y, X ) ) ] )
% 0.61/0.99  , 0, clause( 925, [ =( sigma, zero ), greater( sigma, zero ) ] )
% 0.61/0.99  , 1, substitution( 0, [ :=( X, sigma ), :=( Y, zero )] ), substitution( 1
% 0.61/0.99    , [] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  eqswap(
% 0.61/0.99  clause( 927, [ =( zero, sigma ), ~( greater( zero, sigma ) ) ] )
% 0.61/0.99  , clause( 926, [ ~( greater( zero, sigma ) ), =( sigma, zero ) ] )
% 0.61/0.99  , 1, substitution( 0, [] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  subsumption(
% 0.61/0.99  clause( 86, [ =( zero, sigma ), ~( greater( zero, sigma ) ) ] )
% 0.61/0.99  , clause( 927, [ =( zero, sigma ), ~( greater( zero, sigma ) ) ] )
% 0.61/0.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.61/0.99     ).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  eqswap(
% 0.61/0.99  clause( 928, [ =( Y, X ), smaller( X, Y ), greater( X, Y ) ] )
% 0.61/0.99  , clause( 10, [ smaller( X, Y ), =( X, Y ), greater( X, Y ) ] )
% 0.61/0.99  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  eqswap(
% 0.61/0.99  clause( 929, [ ~( =( Y, X ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , clause( 2, [ ~( =( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  resolution(
% 0.61/0.99  clause( 930, [ 'smaller_or_equal'( Y, X ), smaller( Y, X ), greater( Y, X )
% 0.61/0.99     ] )
% 0.61/0.99  , clause( 929, [ ~( =( Y, X ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , 0, clause( 928, [ =( Y, X ), smaller( X, Y ), greater( X, Y ) ] )
% 0.61/0.99  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.61/0.99    , Y ), :=( Y, X )] )).
% 0.61/0.99  
% 0.61/0.99  
% 0.61/0.99  resolution(
% 0.61/0.99  clause( 931, [ 'smaller_or_equal'( X, Y ), 'smaller_or_equal'( X, Y ), 
% 0.61/0.99    greater( X, Y ) ] )
% 0.61/0.99  , clause( 1, [ ~( smaller( X, Y ) ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/0.99  , 0, clause( 930, [ 'smaller_or_equal'( Y, X ), smaller( Y, X ), greater( Y
% 0.61/1.00    , X ) ] )
% 0.61/1.00  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.61/1.00    , Y ), :=( Y, X )] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  factor(
% 0.61/1.00  clause( 932, [ 'smaller_or_equal'( X, Y ), greater( X, Y ) ] )
% 0.61/1.00  , clause( 931, [ 'smaller_or_equal'( X, Y ), 'smaller_or_equal'( X, Y ), 
% 0.61/1.00    greater( X, Y ) ] )
% 0.61/1.00  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  subsumption(
% 0.61/1.00  clause( 163, [ greater( X, Y ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/1.00  , clause( 932, [ 'smaller_or_equal'( X, Y ), greater( X, Y ) ] )
% 0.61/1.00  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.61/1.00     ), ==>( 1, 0 )] ) ).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  paramod(
% 0.61/1.00  clause( 934, [ ~( 'smaller_or_equal'( zero, sigma ) ), ~( 
% 0.61/1.00    'fragile_position'( sk3 ) ), 'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , clause( 22, [ =( age( sk3, sk4 ), zero ) ] )
% 0.61/1.00  , 0, clause( 11, [ ~( 'fragile_position'( X ) ), ~( 'smaller_or_equal'( age( 
% 0.61/1.00    X, Y ), sigma ) ), 'positional_advantage'( X, Y ) ] )
% 0.61/1.00  , 1, 2, substitution( 0, [] ), substitution( 1, [ :=( X, sk3 ), :=( Y, sk4
% 0.61/1.00     )] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  resolution(
% 0.61/1.00  clause( 935, [ ~( 'smaller_or_equal'( zero, sigma ) ), 
% 0.61/1.00    'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , clause( 934, [ ~( 'smaller_or_equal'( zero, sigma ) ), ~( 
% 0.61/1.00    'fragile_position'( sk3 ) ), 'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , 1, clause( 25, [ 'fragile_position'( sk3 ) ] )
% 0.61/1.00  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  subsumption(
% 0.61/1.00  clause( 227, [ ~( 'smaller_or_equal'( zero, sigma ) ), 
% 0.61/1.00    'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , clause( 935, [ ~( 'smaller_or_equal'( zero, sigma ) ), 
% 0.61/1.00    'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.61/1.00     ).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  resolution(
% 0.61/1.00  clause( 938, [ ~( 'fragile_position'( sk3 ) ), ~( greater( age( sk3, sk4 )
% 0.61/1.00    , sigma ) ), ~( 'smaller_or_equal'( zero, sigma ) ) ] )
% 0.61/1.00  , clause( 12, [ ~( 'fragile_position'( X ) ), ~( greater( age( X, Y ), 
% 0.61/1.00    sigma ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/1.00  , 2, clause( 227, [ ~( 'smaller_or_equal'( zero, sigma ) ), 
% 0.61/1.00    'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , 1, substitution( 0, [ :=( X, sk3 ), :=( Y, sk4 )] ), substitution( 1, [] )
% 0.61/1.00    ).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  paramod(
% 0.61/1.00  clause( 939, [ ~( greater( zero, sigma ) ), ~( 'fragile_position'( sk3 ) )
% 0.61/1.00    , ~( 'smaller_or_equal'( zero, sigma ) ) ] )
% 0.61/1.00  , clause( 22, [ =( age( sk3, sk4 ), zero ) ] )
% 0.61/1.00  , 0, clause( 938, [ ~( 'fragile_position'( sk3 ) ), ~( greater( age( sk3, 
% 0.61/1.00    sk4 ), sigma ) ), ~( 'smaller_or_equal'( zero, sigma ) ) ] )
% 0.61/1.00  , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  paramod(
% 0.61/1.00  clause( 941, [ ~( 'smaller_or_equal'( sigma, sigma ) ), ~( greater( zero, 
% 0.61/1.00    sigma ) ), ~( greater( zero, sigma ) ), ~( 'fragile_position'( sk3 ) ) ]
% 0.61/1.00     )
% 0.61/1.00  , clause( 86, [ =( zero, sigma ), ~( greater( zero, sigma ) ) ] )
% 0.61/1.00  , 0, clause( 939, [ ~( greater( zero, sigma ) ), ~( 'fragile_position'( sk3
% 0.61/1.00     ) ), ~( 'smaller_or_equal'( zero, sigma ) ) ] )
% 0.61/1.00  , 2, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  factor(
% 0.61/1.00  clause( 952, [ ~( 'smaller_or_equal'( sigma, sigma ) ), ~( greater( zero, 
% 0.61/1.00    sigma ) ), ~( 'fragile_position'( sk3 ) ) ] )
% 0.61/1.00  , clause( 941, [ ~( 'smaller_or_equal'( sigma, sigma ) ), ~( greater( zero
% 0.61/1.00    , sigma ) ), ~( greater( zero, sigma ) ), ~( 'fragile_position'( sk3 ) )
% 0.61/1.00     ] )
% 0.61/1.00  , 1, 2, substitution( 0, [] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  resolution(
% 0.61/1.00  clause( 953, [ ~( 'smaller_or_equal'( sigma, sigma ) ), ~( greater( zero, 
% 0.61/1.00    sigma ) ) ] )
% 0.61/1.00  , clause( 952, [ ~( 'smaller_or_equal'( sigma, sigma ) ), ~( greater( zero
% 0.61/1.00    , sigma ) ), ~( 'fragile_position'( sk3 ) ) ] )
% 0.61/1.00  , 2, clause( 25, [ 'fragile_position'( sk3 ) ] )
% 0.61/1.00  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  subsumption(
% 0.61/1.00  clause( 273, [ ~( greater( zero, sigma ) ), ~( 'smaller_or_equal'( sigma, 
% 0.61/1.00    sigma ) ) ] )
% 0.61/1.00  , clause( 953, [ ~( 'smaller_or_equal'( sigma, sigma ) ), ~( greater( zero
% 0.61/1.00    , sigma ) ) ] )
% 0.61/1.00  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.61/1.00     ).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  resolution(
% 0.61/1.00  clause( 954, [ ~( greater( zero, sigma ) ) ] )
% 0.61/1.00  , clause( 273, [ ~( greater( zero, sigma ) ), ~( 'smaller_or_equal'( sigma
% 0.61/1.00    , sigma ) ) ] )
% 0.61/1.00  , 1, clause( 27, [ 'smaller_or_equal'( X, X ) ] )
% 0.61/1.00  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, sigma )] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  subsumption(
% 0.61/1.00  clause( 295, [ ~( greater( zero, sigma ) ) ] )
% 0.61/1.00  , clause( 954, [ ~( greater( zero, sigma ) ) ] )
% 0.61/1.00  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  resolution(
% 0.61/1.00  clause( 955, [ 'smaller_or_equal'( zero, sigma ) ] )
% 0.61/1.00  , clause( 295, [ ~( greater( zero, sigma ) ) ] )
% 0.61/1.00  , 0, clause( 163, [ greater( X, Y ), 'smaller_or_equal'( X, Y ) ] )
% 0.61/1.00  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, zero ), :=( Y, sigma
% 0.61/1.00     )] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  subsumption(
% 0.61/1.00  clause( 296, [ 'smaller_or_equal'( zero, sigma ) ] )
% 0.61/1.00  , clause( 955, [ 'smaller_or_equal'( zero, sigma ) ] )
% 0.61/1.00  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  resolution(
% 0.61/1.00  clause( 956, [ 'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , clause( 227, [ ~( 'smaller_or_equal'( zero, sigma ) ), 
% 0.61/1.00    'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , 0, clause( 296, [ 'smaller_or_equal'( zero, sigma ) ] )
% 0.61/1.00  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  subsumption(
% 0.61/1.00  clause( 310, [ 'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , clause( 956, [ 'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  resolution(
% 0.61/1.00  clause( 958, [ ~( 'robust_position'( sk3 ) ), ~( 'smaller_or_equal'( age( 
% 0.61/1.00    sk3, sk4 ), tau ) ) ] )
% 0.61/1.00  , clause( 16, [ ~( 'robust_position'( X ) ), ~( 'smaller_or_equal'( age( X
% 0.61/1.00    , Y ), tau ) ), ~( 'positional_advantage'( X, Y ) ) ] )
% 0.61/1.00  , 2, clause( 310, [ 'positional_advantage'( sk3, sk4 ) ] )
% 0.61/1.00  , 0, substitution( 0, [ :=( X, sk3 ), :=( Y, sk4 )] ), substitution( 1, [] )
% 0.61/1.00    ).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  paramod(
% 0.61/1.00  clause( 959, [ ~( 'smaller_or_equal'( zero, tau ) ), ~( 'robust_position'( 
% 0.61/1.00    sk3 ) ) ] )
% 0.61/1.00  , clause( 22, [ =( age( sk3, sk4 ), zero ) ] )
% 0.61/1.00  , 0, clause( 958, [ ~( 'robust_position'( sk3 ) ), ~( 'smaller_or_equal'( 
% 0.61/1.00    age( sk3, sk4 ), tau ) ) ] )
% 0.61/1.00  , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.61/1.00  
% 0.61/1.00  
% 0.61/1.00  resolution(
% 0.61/1.00  clause( 960, [ ~( 'smaller_or_equal'( zero, tau ) ) ] )
% 0.61/1.00  , clause( 959, [ ~( 'smaller_or_equal'( zero, tau ) ), ~( 'robust_position'( 
% 0.61/1.00    sk3 ) ) ] )
% 0.61/1.00  , 1, clause( 26, [ 'robust_position'( sk3 ) ] )
% 0.61/1.00  , 0, substituCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------