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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : HWV008-1.001 : TPTP v8.1.0. Released v2.1.0.
% 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 13:11:37 EDT 2022

% Result   : Unsatisfiable 0.73s 1.08s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : HWV008-1.001 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n018.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 Jun 17 03:13:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.73/1.08  *** allocated 10000 integers for termspace/termends
% 0.73/1.08  *** allocated 10000 integers for clauses
% 0.73/1.08  *** allocated 10000 integers for justifications
% 0.73/1.08  Bliksem 1.12
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  Automatic Strategy Selection
% 0.73/1.08  
% 0.73/1.08  Clauses:
% 0.73/1.08  [
% 0.73/1.08     [ ~( connection( X, Y ) ), ~( value( X, Z ) ), value( Y, Z ) ],
% 0.73/1.08     [ ~( connection( X, Y ) ), ~( value( Y, Z ) ), value( X, Z ) ],
% 0.73/1.08     [ ~( value( X, Y ) ), ~( value( X, Z ) ), 'equal_value'( Y, Z ) ],
% 0.73/1.08     [ ~( 'equal_value'( n0, n1 ) ) ],
% 0.73/1.08     [ ~( 'equal_value'( n1, n0 ) ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( mode( X, abnormal ) ) ],
% 0.73/1.08     [ ~( type( X, Y ) ), mode( X, ok ), mode( X, abnormal ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( Y, X ), n0 ) )
% 0.73/1.08    , value( out( n1, X ), n0 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( n1, X ), n1 ) )
% 0.73/1.08    , ~( value( in( n2, X ), n1 ) ), value( out( n1, X ), n1 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1, X ), n0 )
% 0.73/1.08     ), value( in( n1, X ), n0 ), value( in( n2, X ), n0 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1, X ), n1 )
% 0.73/1.08     ), value( in( n1, X ), n1 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1, X ), n1 )
% 0.73/1.08     ), value( in( n2, X ), n1 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( Y, X ), n1 ) ), 
% 0.73/1.08    value( out( n1, X ), n1 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( n1, X ), n0 ) )
% 0.73/1.08    , ~( value( in( n2, X ), n0 ) ), value( out( n1, X ), n0 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1, X ), n1 ) )
% 0.73/1.08    , value( in( n1, X ), n1 ), value( in( n2, X ), n1 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1, X ), n0 ) )
% 0.73/1.08    , value( in( n1, X ), n0 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1, X ), n0 ) )
% 0.73/1.08    , value( in( n2, X ), n0 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1, X ), n0 ) )
% 0.73/1.08    , value( out( n1, X ), n1 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1, X ), n1 ) )
% 0.73/1.08    , value( out( n1, X ), n0 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1, X ), n0 )
% 0.73/1.08     ), value( in( n1, X ), n1 ) ],
% 0.73/1.08     [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1, X ), n1 )
% 0.73/1.08     ), value( in( n1, X ), n0 ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), type( and1( X ), and ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), type( and2( X ), and ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), type( not1( X ), not ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), type( or1( X ), or ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1, or1( X ) )
% 0.73/1.08     ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2, or1( X ) )
% 0.73/1.08     ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1, and2( X )
% 0.73/1.08     ) ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2, and2( X )
% 0.73/1.08     ) ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), connection( out( s, X ), out( n1, and1( X )
% 0.73/1.08     ) ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), connection( out( c, X ), out( n1, and2( X )
% 0.73/1.08     ) ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), connection( out( n1, or1( X ) ), in( n1, 
% 0.73/1.08    and1( X ) ) ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), connection( out( n1, and2( X ) ), in( n1, 
% 0.73/1.08    not1( X ) ) ) ],
% 0.73/1.08     [ ~( type( X, halfadder ) ), connection( out( n1, not1( X ) ), in( n2, 
% 0.73/1.08    and1( X ) ) ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), type( h1( X ), halfadder ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), type( h2( X ), halfadder ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), type( or1( X ), or ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), connection( out( s, h1( X ) ), in( n2, h2( 
% 0.73/1.08    X ) ) ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), connection( out( c, h1( X ) ), in( n2, or1( 
% 0.73/1.08    X ) ) ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), connection( out( c, h2( X ) ), in( n1, or1( 
% 0.73/1.08    X ) ) ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), connection( in( n1, X ), in( n1, h2( X ) )
% 0.73/1.08     ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), connection( in( n2, X ), in( n1, h1( X ) )
% 0.73/1.08     ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), connection( in( c, X ), in( n2, h1( X ) ) )
% 0.73/1.08     ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), connection( out( s, X ), out( s, h2( X ) )
% 0.73/1.08     ) ],
% 0.73/1.08     [ ~( type( X, fulladder ) ), connection( out( c, X ), out( n1, or1( X )
% 0.73/1.08     ) ) ],
% 0.73/1.08     [ ~( type( X, 'nbit_adder'( n1 ) ) ), type( v( n1, X ), fulladder ) ]
% 0.73/1.08    ,
% 0.73/1.08     [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( out( n1, X ), out( s, 
% 0.73/1.08    v( n1, X ) ) ) ],
% 0.73/1.08     [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( out( c, X ), out( c, v( 
% 0.73/1.08    n1, X ) ) ) ],
% 0.73/1.08     [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( in( a1, X ), in( n1, v( 
% 0.73/1.08    n1, X ) ) ) ],
% 0.73/1.08     [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( in( b1, X ), in( n2, v( 
% 0.73/1.08    n1, X ) ) ) ],
% 0.73/1.08     [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( in( c, X ), in( c, v( 
% 0.73/1.08    n1, X ) ) ) ],
% 0.73/1.08     [ type( a, 'nbit_adder'( n1 ) ) ],
% 0.73/1.08     [ value( in( a1, a ), n0 ) ],
% 0.73/1.08     [ value( in( b1, a ), n0 ) ],
% 0.73/1.08     [ value( in( c, a ), n0 ) ],
% 0.73/1.08     [ value( out( n1, a ), n0 ) ],
% 0.73/1.08     [ value( out( c, a ), n1 ) ],
% 0.73/1.08     [ ~( mode( or1( v( n1, a ) ), abnormal ) ) ],
% 0.73/1.08     [ ~( mode( and2( h1( v( n1, a ) ) ), abnormal ) ) ],
% 0.73/1.08     [ ~( mode( and2( h2( v( n1, a ) ) ), abnormal ) ) ]
% 0.73/1.08  ] .
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  percentage equality = 0.000000, percentage horn = 0.950000
% 0.73/1.08  This is a near-Horn, non-equality  problem
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  Options Used:
% 0.73/1.08  
% 0.73/1.08  useres =            1
% 0.73/1.08  useparamod =        0
% 0.73/1.08  useeqrefl =         0
% 0.73/1.08  useeqfact =         0
% 0.73/1.08  usefactor =         1
% 0.73/1.08  usesimpsplitting =  0
% 0.73/1.08  usesimpdemod =      0
% 0.73/1.08  usesimpres =        4
% 0.73/1.08  
% 0.73/1.08  resimpinuse      =  1000
% 0.73/1.08  resimpclauses =     20000
% 0.73/1.08  substype =          standard
% 0.73/1.08  backwardsubs =      1
% 0.73/1.08  selectoldest =      5
% 0.73/1.08  
% 0.73/1.08  litorderings [0] =  split
% 0.73/1.08  litorderings [1] =  liftord
% 0.73/1.08  
% 0.73/1.08  termordering =      none
% 0.73/1.08  
% 0.73/1.08  litapriori =        1
% 0.73/1.08  termapriori =       0
% 0.73/1.08  litaposteriori =    0
% 0.73/1.08  termaposteriori =   0
% 0.73/1.08  demodaposteriori =  0
% 0.73/1.08  ordereqreflfact =   0
% 0.73/1.08  
% 0.73/1.08  litselect =         negative
% 0.73/1.08  
% 0.73/1.08  maxweight =         30000
% 0.73/1.08  maxdepth =          30000
% 0.73/1.08  maxlength =         115
% 0.73/1.08  maxnrvars =         195
% 0.73/1.08  excuselevel =       0
% 0.73/1.08  increasemaxweight = 0
% 0.73/1.08  
% 0.73/1.08  maxselected =       10000000
% 0.73/1.08  maxnrclauses =      10000000
% 0.73/1.08  
% 0.73/1.08  showgenerated =    0
% 0.73/1.08  showkept =         0
% 0.73/1.08  showselected =     0
% 0.73/1.08  showdeleted =      0
% 0.73/1.08  showresimp =       1
% 0.73/1.08  showstatus =       2000
% 0.73/1.08  
% 0.73/1.08  prologoutput =     1
% 0.73/1.08  nrgoals =          5000000
% 0.73/1.08  totalproof =       1
% 0.73/1.08  
% 0.73/1.08  Symbols occurring in the translation:
% 0.73/1.08  
% 0.73/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.73/1.08  .  [1, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.73/1.08  !  [4, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 0.73/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.08  connection  [41, 2]      (w:1, o:70, a:1, s:1, b:0), 
% 0.73/1.08  value  [43, 2]      (w:1, o:71, a:1, s:1, b:0), 
% 0.73/1.08  'equal_value'  [47, 2]      (w:1, o:72, a:1, s:1, b:0), 
% 0.73/1.08  n0  [48, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 0.73/1.08  n1  [49, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 0.73/1.08  ok  [51, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.73/1.08  mode  [52, 2]      (w:1, o:73, a:1, s:1, b:0), 
% 0.73/1.08  abnormal  [53, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 0.73/1.08  type  [55, 2]      (w:1, o:74, a:1, s:1, b:0), 
% 0.73/1.08  and  [56, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 0.73/1.08  in  [57, 2]      (w:1, o:75, a:1, s:1, b:0), 
% 0.73/1.08  out  [58, 2]      (w:1, o:76, a:1, s:1, b:0), 
% 0.73/1.08  n2  [59, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.73/1.08  or  [60, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.73/1.08  not  [61, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.73/1.08  halfadder  [63, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 0.73/1.08  and1  [64, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 0.73/1.08  and2  [65, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 0.73/1.08  not1  [66, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 0.73/1.08  or1  [67, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 0.73/1.08  s  [68, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.73/1.08  c  [69, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 0.73/1.08  fulladder  [70, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 0.73/1.08  h1  [71, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 0.73/1.08  h2  [72, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 0.73/1.08  'nbit_adder'  [73, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 0.73/1.08  v  [74, 2]      (w:1, o:77, a:1, s:1, b:0), 
% 0.73/1.08  a1  [75, 0]      (w:1, o:32, a:1, s:1, b:0), 
% 0.73/1.08  b1  [76, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 0.73/1.08  a  [77, 0]      (w:1, o:28, a:1, s:1, b:0).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  Starting Search:
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  Bliksems!, er is een bewijs:
% 0.73/1.08  % SZS status Unsatisfiable
% 0.73/1.08  % SZS output start Refutation
% 0.73/1.08  
% 0.73/1.08  clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  .
% 0.73/1.08  clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  .
% 0.73/1.08  clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z ) )
% 0.73/1.08     ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 4, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 7, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( out( n1, X ), 
% 0.73/1.08    n0 ), ~( value( in( Y, X ), n0 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 14, [ ~( mode( X, ok ) ), ~( type( X, or ) ), value( in( n1, X ), 
% 0.73/1.08    n1 ), value( in( n2, X ), n1 ), ~( value( out( n1, X ), n1 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 22, [ type( and2( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 27, [ connection( in( n1, X ), in( n1, and2( X ) ) ), ~( type( X, 
% 0.73/1.08    halfadder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 28, [ connection( in( n2, X ), in( n2, and2( X ) ) ), ~( type( X, 
% 0.73/1.08    halfadder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X, 
% 0.73/1.08    halfadder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 34, [ type( h1( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 35, [ type( h2( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 36, [ type( or1( X ), or ), ~( type( X, fulladder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 38, [ connection( out( c, h1( X ) ), in( n2, or1( X ) ) ), ~( type( 
% 0.73/1.08    X, fulladder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 39, [ connection( out( c, h2( X ) ), in( n1, or1( X ) ) ), ~( type( 
% 0.73/1.08    X, fulladder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 40, [ connection( in( n1, X ), in( n1, h2( X ) ) ), ~( type( X, 
% 0.73/1.08    fulladder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 42, [ connection( in( c, X ), in( n2, h1( X ) ) ), ~( type( X, 
% 0.73/1.08    fulladder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 44, [ connection( out( c, X ), out( n1, or1( X ) ) ), ~( type( X, 
% 0.73/1.08    fulladder ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 45, [ type( v( n1, X ), fulladder ), ~( type( X, 'nbit_adder'( n1 )
% 0.73/1.08     ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 47, [ connection( out( c, X ), out( c, v( n1, X ) ) ), ~( type( X, 
% 0.73/1.08    'nbit_adder'( n1 ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 48, [ connection( in( a1, X ), in( n1, v( n1, X ) ) ), ~( type( X, 
% 0.73/1.08    'nbit_adder'( n1 ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 50, [ connection( in( c, X ), in( c, v( n1, X ) ) ), ~( type( X, 
% 0.73/1.08    'nbit_adder'( n1 ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 51, [ type( a, 'nbit_adder'( n1 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 52, [ value( in( a1, a ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 54, [ value( in( c, a ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 56, [ value( out( c, a ), n1 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 57, [ ~( mode( or1( v( n1, a ) ), abnormal ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 58, [ ~( mode( and2( h1( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 59, [ ~( mode( and2( h2( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 72, [ type( h1( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 73, [ type( h2( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 74, [ type( or1( v( n1, a ) ), or ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 76, [ type( and2( h1( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 81, [ type( and2( h2( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 85, [ mode( or1( v( n1, a ) ), ok ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 87, [ mode( and2( h2( v( n1, a ) ) ), ok ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 91, [ mode( and2( h1( v( n1, a ) ) ), ok ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 94, [ connection( out( c, v( n1, a ) ), out( n1, or1( v( n1, a ) )
% 0.73/1.08     ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 96, [ connection( in( c, v( n1, a ) ), in( n2, h1( v( n1, a ) ) ) )
% 0.73/1.08     ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 98, [ connection( in( n1, v( n1, a ) ), in( n1, h2( v( n1, a ) ) )
% 0.73/1.08     ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 99, [ connection( out( c, h2( v( n1, a ) ) ), out( n1, and2( h2( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 100, [ connection( out( c, h1( v( n1, a ) ) ), out( n1, and2( h1( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 104, [ connection( in( n2, h1( v( n1, a ) ) ), in( n2, and2( h1( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 106, [ connection( in( n1, h2( v( n1, a ) ) ), in( n1, and2( h2( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 114, [ value( in( n1, h2( v( n1, a ) ) ), X ), ~( value( in( n1, v( 
% 0.73/1.08    n1, a ) ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 118, [ value( in( n2, h1( v( n1, a ) ) ), X ), ~( value( in( c, v( 
% 0.73/1.08    n1, a ) ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 122, [ value( out( n1, or1( v( n1, a ) ) ), X ), ~( value( out( c, 
% 0.73/1.08    v( n1, a ) ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 123, [ connection( out( c, h2( v( n1, a ) ) ), in( n1, or1( v( n1, 
% 0.73/1.08    a ) ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 124, [ connection( out( c, h1( v( n1, a ) ) ), in( n2, or1( v( n1, 
% 0.73/1.08    a ) ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 136, [ value( in( n2, or1( v( n1, a ) ) ), X ), ~( value( out( c, 
% 0.73/1.08    h1( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 138, [ value( in( n1, or1( v( n1, a ) ) ), X ), ~( value( out( c, 
% 0.73/1.08    h2( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 139, [ connection( in( c, a ), in( c, v( n1, a ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 141, [ value( in( c, v( n1, a ) ), X ), ~( value( in( c, a ), X ) )
% 0.73/1.08     ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 147, [ connection( out( c, a ), out( c, v( n1, a ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 149, [ value( out( c, v( n1, a ) ), X ), ~( value( out( c, a ), X )
% 0.73/1.08     ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 150, [ value( out( c, v( n1, a ) ), n1 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 151, [ connection( in( a1, a ), in( n1, v( n1, a ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 154, [ value( in( n1, v( n1, a ) ), X ), ~( value( in( a1, a ), X )
% 0.73/1.08     ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 161, [ value( in( n1, v( n1, a ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 165, [ value( in( c, v( n1, a ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 167, [ value( out( c, h2( v( n1, a ) ) ), X ), ~( value( out( n1, 
% 0.73/1.08    and2( h2( v( n1, a ) ) ) ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 177, [ value( out( c, h1( v( n1, a ) ) ), X ), ~( value( out( n1, 
% 0.73/1.08    and2( h1( v( n1, a ) ) ) ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 180, [ value( in( n1, and2( h2( v( n1, a ) ) ) ), X ), ~( value( in( 
% 0.73/1.08    n1, h2( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 186, [ value( in( n2, and2( h1( v( n1, a ) ) ) ), X ), ~( value( in( 
% 0.73/1.08    n2, h1( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 203, [ value( in( n1, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 208, [ value( out( n1, or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 210, [ value( in( n1, or1( v( n1, a ) ) ), n1 ), value( in( n2, or1( 
% 0.73/1.08    v( n1, a ) ) ), n1 ), ~( type( or1( v( n1, a ) ), or ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 221, [ value( in( n2, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 229, [ value( in( n2, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 230, [ value( out( n1, and2( h1( v( n1, a ) ) ) ), n0 ), ~( type( 
% 0.73/1.08    and2( h1( v( n1, a ) ) ), and ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 232, [ value( out( n1, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 239, [ value( in( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 242, [ value( out( n1, and2( h2( v( n1, a ) ) ) ), n0 ), ~( type( 
% 0.73/1.08    and2( h2( v( n1, a ) ) ), and ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 249, [ value( out( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 250, [ value( out( c, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 254, [ value( in( n1, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 258, [ 'equal_value'( X, n0 ), ~( value( in( n1, or1( v( n1, a ) )
% 0.73/1.08     ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 264, [ value( out( c, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 265, [ value( in( n2, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 267, [ 'equal_value'( X, n0 ), ~( value( in( n2, or1( v( n1, a ) )
% 0.73/1.08     ), X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 280, [ value( in( n2, or1( v( n1, a ) ) ), n1 ), value( in( n1, or1( 
% 0.73/1.08    v( n1, a ) ) ), n1 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 281, [ 'equal_value'( n1, n0 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 285, [] )
% 0.73/1.08  .
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  % SZS output end Refutation
% 0.73/1.08  found a proof!
% 0.73/1.08  
% 0.73/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.08  
% 0.73/1.08  initialclauses(
% 0.73/1.08  [ clause( 287, [ ~( connection( X, Y ) ), ~( value( X, Z ) ), value( Y, Z )
% 0.73/1.08     ] )
% 0.73/1.08  , clause( 288, [ ~( connection( X, Y ) ), ~( value( Y, Z ) ), value( X, Z )
% 0.73/1.08     ] )
% 0.73/1.08  , clause( 289, [ ~( value( X, Y ) ), ~( value( X, Z ) ), 'equal_value'( Y, 
% 0.73/1.08    Z ) ] )
% 0.73/1.08  , clause( 290, [ ~( 'equal_value'( n0, n1 ) ) ] )
% 0.73/1.08  , clause( 291, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.73/1.08  , clause( 292, [ ~( mode( X, ok ) ), ~( mode( X, abnormal ) ) ] )
% 0.73/1.08  , clause( 293, [ ~( type( X, Y ) ), mode( X, ok ), mode( X, abnormal ) ] )
% 0.73/1.08  , clause( 294, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( Y, 
% 0.73/1.08    X ), n0 ) ), value( out( n1, X ), n0 ) ] )
% 0.73/1.08  , clause( 295, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( n1
% 0.73/1.08    , X ), n1 ) ), ~( value( in( n2, X ), n1 ) ), value( out( n1, X ), n1 ) ]
% 0.73/1.08     )
% 0.73/1.08  , clause( 296, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.73/1.08    , X ), n0 ) ), value( in( n1, X ), n0 ), value( in( n2, X ), n0 ) ] )
% 0.73/1.08  , clause( 297, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.73/1.08    , X ), n1 ) ), value( in( n1, X ), n1 ) ] )
% 0.73/1.08  , clause( 298, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.73/1.08    , X ), n1 ) ), value( in( n2, X ), n1 ) ] )
% 0.73/1.08  , clause( 299, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( Y, X
% 0.73/1.08     ), n1 ) ), value( out( n1, X ), n1 ) ] )
% 0.73/1.08  , clause( 300, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( n1, 
% 0.73/1.08    X ), n0 ) ), ~( value( in( n2, X ), n0 ) ), value( out( n1, X ), n0 ) ]
% 0.73/1.08     )
% 0.73/1.08  , clause( 301, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.73/1.08    , X ), n1 ) ), value( in( n1, X ), n1 ), value( in( n2, X ), n1 ) ] )
% 0.73/1.08  , clause( 302, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.73/1.08    , X ), n0 ) ), value( in( n1, X ), n0 ) ] )
% 0.73/1.08  , clause( 303, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.73/1.08    , X ), n0 ) ), value( in( n2, X ), n0 ) ] )
% 0.73/1.08  , clause( 304, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1
% 0.73/1.08    , X ), n0 ) ), value( out( n1, X ), n1 ) ] )
% 0.73/1.08  , clause( 305, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1
% 0.73/1.08    , X ), n1 ) ), value( out( n1, X ), n0 ) ] )
% 0.73/1.08  , clause( 306, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1
% 0.73/1.08    , X ), n0 ) ), value( in( n1, X ), n1 ) ] )
% 0.73/1.08  , clause( 307, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1
% 0.73/1.08    , X ), n1 ) ), value( in( n1, X ), n0 ) ] )
% 0.73/1.08  , clause( 308, [ ~( type( X, halfadder ) ), type( and1( X ), and ) ] )
% 0.73/1.08  , clause( 309, [ ~( type( X, halfadder ) ), type( and2( X ), and ) ] )
% 0.73/1.08  , clause( 310, [ ~( type( X, halfadder ) ), type( not1( X ), not ) ] )
% 0.73/1.08  , clause( 311, [ ~( type( X, halfadder ) ), type( or1( X ), or ) ] )
% 0.73/1.08  , clause( 312, [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1
% 0.73/1.08    , or1( X ) ) ) ] )
% 0.73/1.08  , clause( 313, [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2
% 0.73/1.08    , or1( X ) ) ) ] )
% 0.73/1.08  , clause( 314, [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1
% 0.73/1.08    , and2( X ) ) ) ] )
% 0.73/1.08  , clause( 315, [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2
% 0.73/1.08    , and2( X ) ) ) ] )
% 0.73/1.08  , clause( 316, [ ~( type( X, halfadder ) ), connection( out( s, X ), out( 
% 0.73/1.08    n1, and1( X ) ) ) ] )
% 0.73/1.08  , clause( 317, [ ~( type( X, halfadder ) ), connection( out( c, X ), out( 
% 0.73/1.08    n1, and2( X ) ) ) ] )
% 0.73/1.08  , clause( 318, [ ~( type( X, halfadder ) ), connection( out( n1, or1( X ) )
% 0.73/1.08    , in( n1, and1( X ) ) ) ] )
% 0.73/1.08  , clause( 319, [ ~( type( X, halfadder ) ), connection( out( n1, and2( X )
% 0.73/1.08     ), in( n1, not1( X ) ) ) ] )
% 0.73/1.08  , clause( 320, [ ~( type( X, halfadder ) ), connection( out( n1, not1( X )
% 0.73/1.08     ), in( n2, and1( X ) ) ) ] )
% 0.73/1.08  , clause( 321, [ ~( type( X, fulladder ) ), type( h1( X ), halfadder ) ] )
% 0.73/1.08  , clause( 322, [ ~( type( X, fulladder ) ), type( h2( X ), halfadder ) ] )
% 0.73/1.08  , clause( 323, [ ~( type( X, fulladder ) ), type( or1( X ), or ) ] )
% 0.73/1.08  , clause( 324, [ ~( type( X, fulladder ) ), connection( out( s, h1( X ) ), 
% 0.73/1.08    in( n2, h2( X ) ) ) ] )
% 0.73/1.08  , clause( 325, [ ~( type( X, fulladder ) ), connection( out( c, h1( X ) ), 
% 0.73/1.08    in( n2, or1( X ) ) ) ] )
% 0.73/1.08  , clause( 326, [ ~( type( X, fulladder ) ), connection( out( c, h2( X ) ), 
% 0.73/1.08    in( n1, or1( X ) ) ) ] )
% 0.73/1.08  , clause( 327, [ ~( type( X, fulladder ) ), connection( in( n1, X ), in( n1
% 0.73/1.08    , h2( X ) ) ) ] )
% 0.73/1.08  , clause( 328, [ ~( type( X, fulladder ) ), connection( in( n2, X ), in( n1
% 0.73/1.08    , h1( X ) ) ) ] )
% 0.73/1.08  , clause( 329, [ ~( type( X, fulladder ) ), connection( in( c, X ), in( n2
% 0.73/1.08    , h1( X ) ) ) ] )
% 0.73/1.08  , clause( 330, [ ~( type( X, fulladder ) ), connection( out( s, X ), out( s
% 0.73/1.08    , h2( X ) ) ) ] )
% 0.73/1.08  , clause( 331, [ ~( type( X, fulladder ) ), connection( out( c, X ), out( 
% 0.73/1.08    n1, or1( X ) ) ) ] )
% 0.73/1.08  , clause( 332, [ ~( type( X, 'nbit_adder'( n1 ) ) ), type( v( n1, X ), 
% 0.73/1.08    fulladder ) ] )
% 0.73/1.08  , clause( 333, [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( out( n1, X
% 0.73/1.08     ), out( s, v( n1, X ) ) ) ] )
% 0.73/1.08  , clause( 334, [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( out( c, X
% 0.73/1.08     ), out( c, v( n1, X ) ) ) ] )
% 0.73/1.08  , clause( 335, [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( in( a1, X
% 0.73/1.08     ), in( n1, v( n1, X ) ) ) ] )
% 0.73/1.08  , clause( 336, [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( in( b1, X
% 0.73/1.08     ), in( n2, v( n1, X ) ) ) ] )
% 0.73/1.08  , clause( 337, [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( in( c, X )
% 0.73/1.08    , in( c, v( n1, X ) ) ) ] )
% 0.73/1.08  , clause( 338, [ type( a, 'nbit_adder'( n1 ) ) ] )
% 0.73/1.08  , clause( 339, [ value( in( a1, a ), n0 ) ] )
% 0.73/1.08  , clause( 340, [ value( in( b1, a ), n0 ) ] )
% 0.73/1.08  , clause( 341, [ value( in( c, a ), n0 ) ] )
% 0.73/1.08  , clause( 342, [ value( out( n1, a ), n0 ) ] )
% 0.73/1.08  , clause( 343, [ value( out( c, a ), n1 ) ] )
% 0.73/1.08  , clause( 344, [ ~( mode( or1( v( n1, a ) ), abnormal ) ) ] )
% 0.73/1.08  , clause( 345, [ ~( mode( and2( h1( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  , clause( 346, [ ~( mode( and2( h2( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  ] ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , clause( 287, [ ~( connection( X, Y ) ), ~( value( X, Z ) ), value( Y, Z )
% 0.73/1.08     ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.08    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , clause( 288, [ ~( connection( X, Y ) ), ~( value( Y, Z ) ), value( X, Z )
% 0.73/1.08     ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.08    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z ) )
% 0.73/1.08     ] )
% 0.73/1.08  , clause( 289, [ ~( value( X, Y ) ), ~( value( X, Z ) ), 'equal_value'( Y, 
% 0.73/1.08    Z ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.08    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 4, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.73/1.08  , clause( 291, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.73/1.08  , clause( 293, [ ~( type( X, Y ) ), mode( X, ok ), mode( X, abnormal ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.73/1.08     ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 7, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( out( n1, X ), 
% 0.73/1.08    n0 ), ~( value( in( Y, X ), n0 ) ) ] )
% 0.73/1.08  , clause( 294, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( Y, 
% 0.73/1.08    X ), n0 ) ), value( out( n1, X ), n0 ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.08     ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 14, [ ~( mode( X, ok ) ), ~( type( X, or ) ), value( in( n1, X ), 
% 0.73/1.08    n1 ), value( in( n2, X ), n1 ), ~( value( out( n1, X ), n1 ) ) ] )
% 0.73/1.08  , clause( 301, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.73/1.08    , X ), n1 ) ), value( in( n1, X ), n1 ), value( in( n2, X ), n1 ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.73/1.08    1 ), ==>( 2, 4 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 22, [ type( and2( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.73/1.08  , clause( 309, [ ~( type( X, halfadder ) ), type( and2( X ), and ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 27, [ connection( in( n1, X ), in( n1, and2( X ) ) ), ~( type( X, 
% 0.73/1.08    halfadder ) ) ] )
% 0.73/1.08  , clause( 314, [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1
% 0.73/1.08    , and2( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 28, [ connection( in( n2, X ), in( n2, and2( X ) ) ), ~( type( X, 
% 0.73/1.08    halfadder ) ) ] )
% 0.73/1.08  , clause( 315, [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2
% 0.73/1.08    , and2( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X, 
% 0.73/1.08    halfadder ) ) ] )
% 0.73/1.08  , clause( 317, [ ~( type( X, halfadder ) ), connection( out( c, X ), out( 
% 0.73/1.08    n1, and2( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 34, [ type( h1( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.73/1.08  , clause( 321, [ ~( type( X, fulladder ) ), type( h1( X ), halfadder ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 35, [ type( h2( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.73/1.08  , clause( 322, [ ~( type( X, fulladder ) ), type( h2( X ), halfadder ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 36, [ type( or1( X ), or ), ~( type( X, fulladder ) ) ] )
% 0.73/1.08  , clause( 323, [ ~( type( X, fulladder ) ), type( or1( X ), or ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 38, [ connection( out( c, h1( X ) ), in( n2, or1( X ) ) ), ~( type( 
% 0.73/1.08    X, fulladder ) ) ] )
% 0.73/1.08  , clause( 325, [ ~( type( X, fulladder ) ), connection( out( c, h1( X ) ), 
% 0.73/1.08    in( n2, or1( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 39, [ connection( out( c, h2( X ) ), in( n1, or1( X ) ) ), ~( type( 
% 0.73/1.08    X, fulladder ) ) ] )
% 0.73/1.08  , clause( 326, [ ~( type( X, fulladder ) ), connection( out( c, h2( X ) ), 
% 0.73/1.08    in( n1, or1( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 40, [ connection( in( n1, X ), in( n1, h2( X ) ) ), ~( type( X, 
% 0.73/1.08    fulladder ) ) ] )
% 0.73/1.08  , clause( 327, [ ~( type( X, fulladder ) ), connection( in( n1, X ), in( n1
% 0.73/1.08    , h2( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 42, [ connection( in( c, X ), in( n2, h1( X ) ) ), ~( type( X, 
% 0.73/1.08    fulladder ) ) ] )
% 0.73/1.08  , clause( 329, [ ~( type( X, fulladder ) ), connection( in( c, X ), in( n2
% 0.73/1.08    , h1( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 44, [ connection( out( c, X ), out( n1, or1( X ) ) ), ~( type( X, 
% 0.73/1.08    fulladder ) ) ] )
% 0.73/1.08  , clause( 331, [ ~( type( X, fulladder ) ), connection( out( c, X ), out( 
% 0.73/1.08    n1, or1( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 45, [ type( v( n1, X ), fulladder ), ~( type( X, 'nbit_adder'( n1 )
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , clause( 332, [ ~( type( X, 'nbit_adder'( n1 ) ) ), type( v( n1, X ), 
% 0.73/1.08    fulladder ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 47, [ connection( out( c, X ), out( c, v( n1, X ) ) ), ~( type( X, 
% 0.73/1.08    'nbit_adder'( n1 ) ) ) ] )
% 0.73/1.08  , clause( 334, [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( out( c, X
% 0.73/1.08     ), out( c, v( n1, X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 48, [ connection( in( a1, X ), in( n1, v( n1, X ) ) ), ~( type( X, 
% 0.73/1.08    'nbit_adder'( n1 ) ) ) ] )
% 0.73/1.08  , clause( 335, [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( in( a1, X
% 0.73/1.08     ), in( n1, v( n1, X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 50, [ connection( in( c, X ), in( c, v( n1, X ) ) ), ~( type( X, 
% 0.73/1.08    'nbit_adder'( n1 ) ) ) ] )
% 0.73/1.08  , clause( 337, [ ~( type( X, 'nbit_adder'( n1 ) ) ), connection( in( c, X )
% 0.73/1.08    , in( c, v( n1, X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 51, [ type( a, 'nbit_adder'( n1 ) ) ] )
% 0.73/1.08  , clause( 338, [ type( a, 'nbit_adder'( n1 ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 52, [ value( in( a1, a ), n0 ) ] )
% 0.73/1.08  , clause( 339, [ value( in( a1, a ), n0 ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 54, [ value( in( c, a ), n0 ) ] )
% 0.73/1.08  , clause( 341, [ value( in( c, a ), n0 ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 56, [ value( out( c, a ), n1 ) ] )
% 0.73/1.08  , clause( 343, [ value( out( c, a ), n1 ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 57, [ ~( mode( or1( v( n1, a ) ), abnormal ) ) ] )
% 0.73/1.08  , clause( 344, [ ~( mode( or1( v( n1, a ) ), abnormal ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 58, [ ~( mode( and2( h1( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  , clause( 345, [ ~( mode( and2( h1( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 59, [ ~( mode( and2( h2( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  , clause( 346, [ ~( mode( and2( h2( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 375, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , clause( 45, [ type( v( n1, X ), fulladder ), ~( type( X, 'nbit_adder'( n1
% 0.73/1.08     ) ) ) ] )
% 0.73/1.08  , 1, clause( 51, [ type( a, 'nbit_adder'( n1 ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , clause( 375, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 376, [ type( h1( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , clause( 34, [ type( h1( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.73/1.08  , 1, clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, v( n1, a ) )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 72, [ type( h1( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , clause( 376, [ type( h1( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 377, [ type( h2( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , clause( 35, [ type( h2( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.73/1.08  , 1, clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, v( n1, a ) )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 73, [ type( h2( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , clause( 377, [ type( h2( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 378, [ type( or1( v( n1, a ) ), or ) ] )
% 0.73/1.08  , clause( 36, [ type( or1( X ), or ), ~( type( X, fulladder ) ) ] )
% 0.73/1.08  , 1, clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, v( n1, a ) )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 74, [ type( or1( v( n1, a ) ), or ) ] )
% 0.73/1.08  , clause( 378, [ type( or1( v( n1, a ) ), or ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 379, [ type( and2( h1( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  , clause( 22, [ type( and2( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.73/1.08  , 1, clause( 72, [ type( h1( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, h1( v( n1, a ) ) )] ), substitution( 1, [] )
% 0.73/1.08    ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 76, [ type( and2( h1( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  , clause( 379, [ type( and2( h1( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 380, [ type( and2( h2( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  , clause( 22, [ type( and2( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.73/1.08  , 1, clause( 73, [ type( h2( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, h2( v( n1, a ) ) )] ), substitution( 1, [] )
% 0.73/1.08    ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 81, [ type( and2( h2( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  , clause( 380, [ type( and2( h2( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 381, [ mode( or1( v( n1, a ) ), ok ), mode( or1( v( n1, a ) ), 
% 0.73/1.08    abnormal ) ] )
% 0.73/1.08  , clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.73/1.08  , 2, clause( 74, [ type( or1( v( n1, a ) ), or ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, or1( v( n1, a ) ) ), :=( Y, or )] ), 
% 0.73/1.08    substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 382, [ mode( or1( v( n1, a ) ), ok ) ] )
% 0.73/1.08  , clause( 57, [ ~( mode( or1( v( n1, a ) ), abnormal ) ) ] )
% 0.73/1.08  , 0, clause( 381, [ mode( or1( v( n1, a ) ), ok ), mode( or1( v( n1, a ) )
% 0.73/1.08    , abnormal ) ] )
% 0.73/1.08  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 85, [ mode( or1( v( n1, a ) ), ok ) ] )
% 0.73/1.08  , clause( 382, [ mode( or1( v( n1, a ) ), ok ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 383, [ mode( and2( h2( v( n1, a ) ) ), ok ), mode( and2( h2( v( n1
% 0.73/1.08    , a ) ) ), abnormal ) ] )
% 0.73/1.08  , clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.73/1.08  , 2, clause( 81, [ type( and2( h2( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, and2( h2( v( n1, a ) ) ) ), :=( Y, and )] )
% 0.73/1.08    , substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 384, [ mode( and2( h2( v( n1, a ) ) ), ok ) ] )
% 0.73/1.08  , clause( 59, [ ~( mode( and2( h2( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  , 0, clause( 383, [ mode( and2( h2( v( n1, a ) ) ), ok ), mode( and2( h2( v( 
% 0.73/1.08    n1, a ) ) ), abnormal ) ] )
% 0.73/1.08  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 87, [ mode( and2( h2( v( n1, a ) ) ), ok ) ] )
% 0.73/1.08  , clause( 384, [ mode( and2( h2( v( n1, a ) ) ), ok ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 385, [ mode( and2( h1( v( n1, a ) ) ), ok ), mode( and2( h1( v( n1
% 0.73/1.08    , a ) ) ), abnormal ) ] )
% 0.73/1.08  , clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.73/1.08  , 2, clause( 76, [ type( and2( h1( v( n1, a ) ) ), and ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, and2( h1( v( n1, a ) ) ) ), :=( Y, and )] )
% 0.73/1.08    , substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 386, [ mode( and2( h1( v( n1, a ) ) ), ok ) ] )
% 0.73/1.08  , clause( 58, [ ~( mode( and2( h1( v( n1, a ) ) ), abnormal ) ) ] )
% 0.73/1.08  , 0, clause( 385, [ mode( and2( h1( v( n1, a ) ) ), ok ), mode( and2( h1( v( 
% 0.73/1.08    n1, a ) ) ), abnormal ) ] )
% 0.73/1.08  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 91, [ mode( and2( h1( v( n1, a ) ) ), ok ) ] )
% 0.73/1.08  , clause( 386, [ mode( and2( h1( v( n1, a ) ) ), ok ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 387, [ connection( out( c, v( n1, a ) ), out( n1, or1( v( n1, a ) )
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , clause( 44, [ connection( out( c, X ), out( n1, or1( X ) ) ), ~( type( X
% 0.73/1.08    , fulladder ) ) ] )
% 0.73/1.08  , 1, clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, v( n1, a ) )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 94, [ connection( out( c, v( n1, a ) ), out( n1, or1( v( n1, a ) )
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , clause( 387, [ connection( out( c, v( n1, a ) ), out( n1, or1( v( n1, a )
% 0.73/1.08     ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 388, [ connection( in( c, v( n1, a ) ), in( n2, h1( v( n1, a ) ) )
% 0.73/1.08     ) ] )
% 0.73/1.08  , clause( 42, [ connection( in( c, X ), in( n2, h1( X ) ) ), ~( type( X, 
% 0.73/1.08    fulladder ) ) ] )
% 0.73/1.08  , 1, clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, v( n1, a ) )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 96, [ connection( in( c, v( n1, a ) ), in( n2, h1( v( n1, a ) ) ) )
% 0.73/1.08     ] )
% 0.73/1.08  , clause( 388, [ connection( in( c, v( n1, a ) ), in( n2, h1( v( n1, a ) )
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 389, [ connection( in( n1, v( n1, a ) ), in( n1, h2( v( n1, a ) ) )
% 0.73/1.08     ) ] )
% 0.73/1.08  , clause( 40, [ connection( in( n1, X ), in( n1, h2( X ) ) ), ~( type( X, 
% 0.73/1.08    fulladder ) ) ] )
% 0.73/1.08  , 1, clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, v( n1, a ) )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 98, [ connection( in( n1, v( n1, a ) ), in( n1, h2( v( n1, a ) ) )
% 0.73/1.08     ) ] )
% 0.73/1.08  , clause( 389, [ connection( in( n1, v( n1, a ) ), in( n1, h2( v( n1, a ) )
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 390, [ connection( out( c, h2( v( n1, a ) ) ), out( n1, and2( h2( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  , clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X
% 0.73/1.08    , halfadder ) ) ] )
% 0.73/1.08  , 1, clause( 73, [ type( h2( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, h2( v( n1, a ) ) )] ), substitution( 1, [] )
% 0.73/1.08    ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 99, [ connection( out( c, h2( v( n1, a ) ) ), out( n1, and2( h2( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  , clause( 390, [ connection( out( c, h2( v( n1, a ) ) ), out( n1, and2( h2( 
% 0.73/1.08    v( n1, a ) ) ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 391, [ connection( out( c, h1( v( n1, a ) ) ), out( n1, and2( h1( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  , clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X
% 0.73/1.08    , halfadder ) ) ] )
% 0.73/1.08  , 1, clause( 72, [ type( h1( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, h1( v( n1, a ) ) )] ), substitution( 1, [] )
% 0.73/1.08    ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 100, [ connection( out( c, h1( v( n1, a ) ) ), out( n1, and2( h1( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  , clause( 391, [ connection( out( c, h1( v( n1, a ) ) ), out( n1, and2( h1( 
% 0.73/1.08    v( n1, a ) ) ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 392, [ connection( in( n2, h1( v( n1, a ) ) ), in( n2, and2( h1( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  , clause( 28, [ connection( in( n2, X ), in( n2, and2( X ) ) ), ~( type( X
% 0.73/1.08    , halfadder ) ) ] )
% 0.73/1.08  , 1, clause( 72, [ type( h1( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, h1( v( n1, a ) ) )] ), substitution( 1, [] )
% 0.73/1.08    ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 104, [ connection( in( n2, h1( v( n1, a ) ) ), in( n2, and2( h1( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  , clause( 392, [ connection( in( n2, h1( v( n1, a ) ) ), in( n2, and2( h1( 
% 0.73/1.08    v( n1, a ) ) ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 393, [ connection( in( n1, h2( v( n1, a ) ) ), in( n1, and2( h2( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  , clause( 27, [ connection( in( n1, X ), in( n1, and2( X ) ) ), ~( type( X
% 0.73/1.08    , halfadder ) ) ] )
% 0.73/1.08  , 1, clause( 73, [ type( h2( v( n1, a ) ), halfadder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, h2( v( n1, a ) ) )] ), substitution( 1, [] )
% 0.73/1.08    ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 106, [ connection( in( n1, h2( v( n1, a ) ) ), in( n1, and2( h2( v( 
% 0.73/1.08    n1, a ) ) ) ) ) ] )
% 0.73/1.08  , clause( 393, [ connection( in( n1, h2( v( n1, a ) ) ), in( n1, and2( h2( 
% 0.73/1.08    v( n1, a ) ) ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 394, [ ~( value( in( n1, v( n1, a ) ), X ) ), value( in( n1, h2( v( 
% 0.73/1.08    n1, a ) ) ), X ) ] )
% 0.73/1.08  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 98, [ connection( in( n1, v( n1, a ) ), in( n1, h2( v( n1, a )
% 0.73/1.08     ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, in( n1, v( n1, a ) ) ), :=( Y, in( n1, h2( v( 
% 0.73/1.08    n1, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 114, [ value( in( n1, h2( v( n1, a ) ) ), X ), ~( value( in( n1, v( 
% 0.73/1.08    n1, a ) ), X ) ) ] )
% 0.73/1.08  , clause( 394, [ ~( value( in( n1, v( n1, a ) ), X ) ), value( in( n1, h2( 
% 0.73/1.08    v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 395, [ ~( value( in( c, v( n1, a ) ), X ) ), value( in( n2, h1( v( 
% 0.73/1.08    n1, a ) ) ), X ) ] )
% 0.73/1.08  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 96, [ connection( in( c, v( n1, a ) ), in( n2, h1( v( n1, a )
% 0.73/1.08     ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, in( c, v( n1, a ) ) ), :=( Y, in( n2, h1( v( 
% 0.73/1.08    n1, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 118, [ value( in( n2, h1( v( n1, a ) ) ), X ), ~( value( in( c, v( 
% 0.73/1.08    n1, a ) ), X ) ) ] )
% 0.73/1.08  , clause( 395, [ ~( value( in( c, v( n1, a ) ), X ) ), value( in( n2, h1( v( 
% 0.73/1.08    n1, a ) ) ), X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 396, [ ~( value( out( c, v( n1, a ) ), X ) ), value( out( n1, or1( 
% 0.73/1.08    v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 94, [ connection( out( c, v( n1, a ) ), out( n1, or1( v( n1, a
% 0.73/1.08     ) ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, out( c, v( n1, a ) ) ), :=( Y, out( n1, or1( 
% 0.73/1.08    v( n1, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 122, [ value( out( n1, or1( v( n1, a ) ) ), X ), ~( value( out( c, 
% 0.73/1.08    v( n1, a ) ), X ) ) ] )
% 0.73/1.08  , clause( 396, [ ~( value( out( c, v( n1, a ) ), X ) ), value( out( n1, or1( 
% 0.73/1.08    v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 397, [ connection( out( c, h2( v( n1, a ) ) ), in( n1, or1( v( n1, 
% 0.73/1.08    a ) ) ) ) ] )
% 0.73/1.08  , clause( 39, [ connection( out( c, h2( X ) ), in( n1, or1( X ) ) ), ~( 
% 0.73/1.08    type( X, fulladder ) ) ] )
% 0.73/1.08  , 1, clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, v( n1, a ) )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 123, [ connection( out( c, h2( v( n1, a ) ) ), in( n1, or1( v( n1, 
% 0.73/1.08    a ) ) ) ) ] )
% 0.73/1.08  , clause( 397, [ connection( out( c, h2( v( n1, a ) ) ), in( n1, or1( v( n1
% 0.73/1.08    , a ) ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 398, [ connection( out( c, h1( v( n1, a ) ) ), in( n2, or1( v( n1, 
% 0.73/1.08    a ) ) ) ) ] )
% 0.73/1.08  , clause( 38, [ connection( out( c, h1( X ) ), in( n2, or1( X ) ) ), ~( 
% 0.73/1.08    type( X, fulladder ) ) ] )
% 0.73/1.08  , 1, clause( 69, [ type( v( n1, a ), fulladder ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, v( n1, a ) )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 124, [ connection( out( c, h1( v( n1, a ) ) ), in( n2, or1( v( n1, 
% 0.73/1.08    a ) ) ) ) ] )
% 0.73/1.08  , clause( 398, [ connection( out( c, h1( v( n1, a ) ) ), in( n2, or1( v( n1
% 0.73/1.08    , a ) ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 399, [ ~( value( out( c, h1( v( n1, a ) ) ), X ) ), value( in( n2, 
% 0.73/1.08    or1( v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 124, [ connection( out( c, h1( v( n1, a ) ) ), in( n2, or1( v( 
% 0.73/1.08    n1, a ) ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, out( c, h1( v( n1, a ) ) ) ), :=( Y, in( n2
% 0.73/1.08    , or1( v( n1, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 136, [ value( in( n2, or1( v( n1, a ) ) ), X ), ~( value( out( c, 
% 0.73/1.08    h1( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.08  , clause( 399, [ ~( value( out( c, h1( v( n1, a ) ) ), X ) ), value( in( n2
% 0.73/1.08    , or1( v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 400, [ ~( value( out( c, h2( v( n1, a ) ) ), X ) ), value( in( n1, 
% 0.73/1.08    or1( v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 123, [ connection( out( c, h2( v( n1, a ) ) ), in( n1, or1( v( 
% 0.73/1.08    n1, a ) ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, out( c, h2( v( n1, a ) ) ) ), :=( Y, in( n1
% 0.73/1.08    , or1( v( n1, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 138, [ value( in( n1, or1( v( n1, a ) ) ), X ), ~( value( out( c, 
% 0.73/1.08    h2( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.08  , clause( 400, [ ~( value( out( c, h2( v( n1, a ) ) ), X ) ), value( in( n1
% 0.73/1.08    , or1( v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 401, [ connection( in( c, a ), in( c, v( n1, a ) ) ) ] )
% 0.73/1.08  , clause( 50, [ connection( in( c, X ), in( c, v( n1, X ) ) ), ~( type( X, 
% 0.73/1.08    'nbit_adder'( n1 ) ) ) ] )
% 0.73/1.08  , 1, clause( 51, [ type( a, 'nbit_adder'( n1 ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 139, [ connection( in( c, a ), in( c, v( n1, a ) ) ) ] )
% 0.73/1.08  , clause( 401, [ connection( in( c, a ), in( c, v( n1, a ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 402, [ ~( value( in( c, a ), X ) ), value( in( c, v( n1, a ) ), X )
% 0.73/1.08     ] )
% 0.73/1.08  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 139, [ connection( in( c, a ), in( c, v( n1, a ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, in( c, a ) ), :=( Y, in( c, v( n1, a ) ) ), 
% 0.73/1.08    :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 141, [ value( in( c, v( n1, a ) ), X ), ~( value( in( c, a ), X ) )
% 0.73/1.08     ] )
% 0.73/1.08  , clause( 402, [ ~( value( in( c, a ), X ) ), value( in( c, v( n1, a ) ), X
% 0.73/1.08     ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 403, [ connection( out( c, a ), out( c, v( n1, a ) ) ) ] )
% 0.73/1.08  , clause( 47, [ connection( out( c, X ), out( c, v( n1, X ) ) ), ~( type( X
% 0.73/1.08    , 'nbit_adder'( n1 ) ) ) ] )
% 0.73/1.08  , 1, clause( 51, [ type( a, 'nbit_adder'( n1 ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 147, [ connection( out( c, a ), out( c, v( n1, a ) ) ) ] )
% 0.73/1.08  , clause( 403, [ connection( out( c, a ), out( c, v( n1, a ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 404, [ ~( value( out( c, a ), X ) ), value( out( c, v( n1, a ) ), X
% 0.73/1.08     ) ] )
% 0.73/1.08  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 147, [ connection( out( c, a ), out( c, v( n1, a ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, out( c, a ) ), :=( Y, out( c, v( n1, a ) ) )
% 0.73/1.08    , :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 149, [ value( out( c, v( n1, a ) ), X ), ~( value( out( c, a ), X )
% 0.73/1.08     ) ] )
% 0.73/1.08  , clause( 404, [ ~( value( out( c, a ), X ) ), value( out( c, v( n1, a ) )
% 0.73/1.08    , X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 405, [ value( out( c, v( n1, a ) ), n1 ) ] )
% 0.73/1.08  , clause( 149, [ value( out( c, v( n1, a ) ), X ), ~( value( out( c, a ), X
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , 1, clause( 56, [ value( out( c, a ), n1 ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 150, [ value( out( c, v( n1, a ) ), n1 ) ] )
% 0.73/1.08  , clause( 405, [ value( out( c, v( n1, a ) ), n1 ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 406, [ connection( in( a1, a ), in( n1, v( n1, a ) ) ) ] )
% 0.73/1.08  , clause( 48, [ connection( in( a1, X ), in( n1, v( n1, X ) ) ), ~( type( X
% 0.73/1.08    , 'nbit_adder'( n1 ) ) ) ] )
% 0.73/1.08  , 1, clause( 51, [ type( a, 'nbit_adder'( n1 ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 151, [ connection( in( a1, a ), in( n1, v( n1, a ) ) ) ] )
% 0.73/1.08  , clause( 406, [ connection( in( a1, a ), in( n1, v( n1, a ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 407, [ ~( value( in( a1, a ), X ) ), value( in( n1, v( n1, a ) ), X
% 0.73/1.08     ) ] )
% 0.73/1.08  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 151, [ connection( in( a1, a ), in( n1, v( n1, a ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, in( a1, a ) ), :=( Y, in( n1, v( n1, a ) ) )
% 0.73/1.08    , :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 154, [ value( in( n1, v( n1, a ) ), X ), ~( value( in( a1, a ), X )
% 0.73/1.08     ) ] )
% 0.73/1.08  , clause( 407, [ ~( value( in( a1, a ), X ) ), value( in( n1, v( n1, a ) )
% 0.73/1.08    , X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 408, [ value( in( n1, v( n1, a ) ), n0 ) ] )
% 0.73/1.08  , clause( 154, [ value( in( n1, v( n1, a ) ), X ), ~( value( in( a1, a ), X
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , 1, clause( 52, [ value( in( a1, a ), n0 ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 161, [ value( in( n1, v( n1, a ) ), n0 ) ] )
% 0.73/1.08  , clause( 408, [ value( in( n1, v( n1, a ) ), n0 ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 409, [ value( in( c, v( n1, a ) ), n0 ) ] )
% 0.73/1.08  , clause( 141, [ value( in( c, v( n1, a ) ), X ), ~( value( in( c, a ), X )
% 0.73/1.08     ) ] )
% 0.73/1.08  , 1, clause( 54, [ value( in( c, a ), n0 ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 165, [ value( in( c, v( n1, a ) ), n0 ) ] )
% 0.73/1.08  , clause( 409, [ value( in( c, v( n1, a ) ), n0 ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 410, [ ~( value( out( n1, and2( h2( v( n1, a ) ) ) ), X ) ), value( 
% 0.73/1.08    out( c, h2( v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 99, [ connection( out( c, h2( v( n1, a ) ) ), out( n1, and2( 
% 0.73/1.08    h2( v( n1, a ) ) ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, out( c, h2( v( n1, a ) ) ) ), :=( Y, out( n1
% 0.73/1.08    , and2( h2( v( n1, a ) ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 167, [ value( out( c, h2( v( n1, a ) ) ), X ), ~( value( out( n1, 
% 0.73/1.08    and2( h2( v( n1, a ) ) ) ), X ) ) ] )
% 0.73/1.08  , clause( 410, [ ~( value( out( n1, and2( h2( v( n1, a ) ) ) ), X ) ), 
% 0.73/1.08    value( out( c, h2( v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 411, [ ~( value( out( n1, and2( h1( v( n1, a ) ) ) ), X ) ), value( 
% 0.73/1.08    out( c, h1( v( n1, a ) ) ), X ) ] )
% 0.73/1.08  , clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.08     )
% 0.73/1.08  , 2, clause( 100, [ connection( out( c, h1( v( n1, a ) ) ), out( n1, and2( 
% 0.73/1.08    h1( v( n1, a ) ) ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, out( c, h1( v( n1, a ) ) ) ), :=( Y, out( n1
% 0.73/1.08    , and2( h1( v( n1, a ) ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 177, [ value( out( c, h1( v( n1, a ) ) ), X ), ~( value( out( n1, 
% 0.73/1.08    and2( h1( v( n1, a ) ) ) ), X ) ) ] )
% 0.73/1.08  , clause( 411, [ ~( value( out( n1, and2( h1( v( n1, a ) ) ) ), X ) ), 
% 0.73/1.08    value( out( c, h1( v( n1, a ) ) ), X ) ] )
% 0.73/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.09    0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 412, [ ~( value( in( n1, h2( v( n1, a ) ) ), X ) ), value( in( n1, 
% 0.73/1.09    and2( h2( v( n1, a ) ) ) ), X ) ] )
% 0.73/1.09  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.09     )
% 0.73/1.09  , 2, clause( 106, [ connection( in( n1, h2( v( n1, a ) ) ), in( n1, and2( 
% 0.73/1.09    h2( v( n1, a ) ) ) ) ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, in( n1, h2( v( n1, a ) ) ) ), :=( Y, in( n1
% 0.73/1.09    , and2( h2( v( n1, a ) ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 180, [ value( in( n1, and2( h2( v( n1, a ) ) ) ), X ), ~( value( in( 
% 0.73/1.09    n1, h2( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.09  , clause( 412, [ ~( value( in( n1, h2( v( n1, a ) ) ), X ) ), value( in( n1
% 0.73/1.09    , and2( h2( v( n1, a ) ) ) ), X ) ] )
% 0.73/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.09    0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 413, [ ~( value( in( n2, h1( v( n1, a ) ) ), X ) ), value( in( n2, 
% 0.73/1.09    and2( h1( v( n1, a ) ) ) ), X ) ] )
% 0.73/1.09  , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.73/1.09     )
% 0.73/1.09  , 2, clause( 104, [ connection( in( n2, h1( v( n1, a ) ) ), in( n2, and2( 
% 0.73/1.09    h1( v( n1, a ) ) ) ) ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, in( n2, h1( v( n1, a ) ) ) ), :=( Y, in( n2
% 0.73/1.09    , and2( h1( v( n1, a ) ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 186, [ value( in( n2, and2( h1( v( n1, a ) ) ) ), X ), ~( value( in( 
% 0.73/1.09    n2, h1( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.09  , clause( 413, [ ~( value( in( n2, h1( v( n1, a ) ) ), X ) ), value( in( n2
% 0.73/1.09    , and2( h1( v( n1, a ) ) ) ), X ) ] )
% 0.73/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.09    0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 414, [ value( in( n1, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 114, [ value( in( n1, h2( v( n1, a ) ) ), X ), ~( value( in( n1, 
% 0.73/1.09    v( n1, a ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 161, [ value( in( n1, v( n1, a ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 203, [ value( in( n1, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 414, [ value( in( n1, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 415, [ value( out( n1, or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , clause( 122, [ value( out( n1, or1( v( n1, a ) ) ), X ), ~( value( out( c
% 0.73/1.09    , v( n1, a ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 150, [ value( out( c, v( n1, a ) ), n1 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 208, [ value( out( n1, or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , clause( 415, [ value( out( n1, or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 416, [ ~( mode( or1( v( n1, a ) ), ok ) ), ~( type( or1( v( n1, a )
% 0.73/1.09     ), or ) ), value( in( n1, or1( v( n1, a ) ) ), n1 ), value( in( n2, or1( 
% 0.73/1.09    v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , clause( 14, [ ~( mode( X, ok ) ), ~( type( X, or ) ), value( in( n1, X )
% 0.73/1.09    , n1 ), value( in( n2, X ), n1 ), ~( value( out( n1, X ), n1 ) ) ] )
% 0.73/1.09  , 4, clause( 208, [ value( out( n1, or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, or1( v( n1, a ) ) )] ), substitution( 1, [] )
% 0.73/1.09    ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 417, [ ~( type( or1( v( n1, a ) ), or ) ), value( in( n1, or1( v( 
% 0.73/1.09    n1, a ) ) ), n1 ), value( in( n2, or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , clause( 416, [ ~( mode( or1( v( n1, a ) ), ok ) ), ~( type( or1( v( n1, a
% 0.73/1.09     ) ), or ) ), value( in( n1, or1( v( n1, a ) ) ), n1 ), value( in( n2, 
% 0.73/1.09    or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , 0, clause( 85, [ mode( or1( v( n1, a ) ), ok ) ] )
% 0.73/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 210, [ value( in( n1, or1( v( n1, a ) ) ), n1 ), value( in( n2, or1( 
% 0.73/1.09    v( n1, a ) ) ), n1 ), ~( type( or1( v( n1, a ) ), or ) ) ] )
% 0.73/1.09  , clause( 417, [ ~( type( or1( v( n1, a ) ), or ) ), value( in( n1, or1( v( 
% 0.73/1.09    n1, a ) ) ), n1 ), value( in( n2, or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09    , 1 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 418, [ value( in( n2, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 118, [ value( in( n2, h1( v( n1, a ) ) ), X ), ~( value( in( c, v( 
% 0.73/1.09    n1, a ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 165, [ value( in( c, v( n1, a ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 221, [ value( in( n2, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 418, [ value( in( n2, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 419, [ value( in( n2, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 186, [ value( in( n2, and2( h1( v( n1, a ) ) ) ), X ), ~( value( 
% 0.73/1.09    in( n2, h1( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 221, [ value( in( n2, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 229, [ value( in( n2, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 419, [ value( in( n2, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 420, [ ~( mode( and2( h1( v( n1, a ) ) ), ok ) ), ~( type( and2( h1( 
% 0.73/1.09    v( n1, a ) ) ), and ) ), value( out( n1, and2( h1( v( n1, a ) ) ) ), n0 )
% 0.73/1.09     ] )
% 0.73/1.09  , clause( 7, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( out( n1, X )
% 0.73/1.09    , n0 ), ~( value( in( Y, X ), n0 ) ) ] )
% 0.73/1.09  , 3, clause( 229, [ value( in( n2, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, and2( h1( v( n1, a ) ) ) ), :=( Y, n2 )] ), 
% 0.73/1.09    substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 421, [ ~( type( and2( h1( v( n1, a ) ) ), and ) ), value( out( n1, 
% 0.73/1.09    and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 420, [ ~( mode( and2( h1( v( n1, a ) ) ), ok ) ), ~( type( and2( 
% 0.73/1.09    h1( v( n1, a ) ) ), and ) ), value( out( n1, and2( h1( v( n1, a ) ) ) ), 
% 0.73/1.09    n0 ) ] )
% 0.73/1.09  , 0, clause( 91, [ mode( and2( h1( v( n1, a ) ) ), ok ) ] )
% 0.73/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 230, [ value( out( n1, and2( h1( v( n1, a ) ) ) ), n0 ), ~( type( 
% 0.73/1.09    and2( h1( v( n1, a ) ) ), and ) ) ] )
% 0.73/1.09  , clause( 421, [ ~( type( and2( h1( v( n1, a ) ) ), and ) ), value( out( n1
% 0.73/1.09    , and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.09     ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 422, [ value( out( n1, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 230, [ value( out( n1, and2( h1( v( n1, a ) ) ) ), n0 ), ~( type( 
% 0.73/1.09    and2( h1( v( n1, a ) ) ), and ) ) ] )
% 0.73/1.09  , 1, clause( 76, [ type( and2( h1( v( n1, a ) ) ), and ) ] )
% 0.73/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 232, [ value( out( n1, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 422, [ value( out( n1, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 423, [ value( in( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 180, [ value( in( n1, and2( h2( v( n1, a ) ) ) ), X ), ~( value( 
% 0.73/1.09    in( n1, h2( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 203, [ value( in( n1, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 239, [ value( in( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 423, [ value( in( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 424, [ ~( mode( and2( h2( v( n1, a ) ) ), ok ) ), ~( type( and2( h2( 
% 0.73/1.09    v( n1, a ) ) ), and ) ), value( out( n1, and2( h2( v( n1, a ) ) ) ), n0 )
% 0.73/1.09     ] )
% 0.73/1.09  , clause( 7, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( out( n1, X )
% 0.73/1.09    , n0 ), ~( value( in( Y, X ), n0 ) ) ] )
% 0.73/1.09  , 3, clause( 239, [ value( in( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, and2( h2( v( n1, a ) ) ) ), :=( Y, n1 )] ), 
% 0.73/1.09    substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 425, [ ~( type( and2( h2( v( n1, a ) ) ), and ) ), value( out( n1, 
% 0.73/1.09    and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 424, [ ~( mode( and2( h2( v( n1, a ) ) ), ok ) ), ~( type( and2( 
% 0.73/1.09    h2( v( n1, a ) ) ), and ) ), value( out( n1, and2( h2( v( n1, a ) ) ) ), 
% 0.73/1.09    n0 ) ] )
% 0.73/1.09  , 0, clause( 87, [ mode( and2( h2( v( n1, a ) ) ), ok ) ] )
% 0.73/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 242, [ value( out( n1, and2( h2( v( n1, a ) ) ) ), n0 ), ~( type( 
% 0.73/1.09    and2( h2( v( n1, a ) ) ), and ) ) ] )
% 0.73/1.09  , clause( 425, [ ~( type( and2( h2( v( n1, a ) ) ), and ) ), value( out( n1
% 0.73/1.09    , and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.09     ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 426, [ value( out( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 242, [ value( out( n1, and2( h2( v( n1, a ) ) ) ), n0 ), ~( type( 
% 0.73/1.09    and2( h2( v( n1, a ) ) ), and ) ) ] )
% 0.73/1.09  , 1, clause( 81, [ type( and2( h2( v( n1, a ) ) ), and ) ] )
% 0.73/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 249, [ value( out( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 426, [ value( out( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 427, [ value( out( c, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 167, [ value( out( c, h2( v( n1, a ) ) ), X ), ~( value( out( n1
% 0.73/1.09    , and2( h2( v( n1, a ) ) ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 249, [ value( out( n1, and2( h2( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 250, [ value( out( c, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 427, [ value( out( c, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 428, [ value( in( n1, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 138, [ value( in( n1, or1( v( n1, a ) ) ), X ), ~( value( out( c
% 0.73/1.09    , h2( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 250, [ value( out( c, h2( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 254, [ value( in( n1, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 428, [ value( in( n1, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 430, [ ~( value( in( n1, or1( v( n1, a ) ) ), X ) ), 'equal_value'( 
% 0.73/1.09    X, n0 ) ] )
% 0.73/1.09  , clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z )
% 0.73/1.09     ) ] )
% 0.73/1.09  , 2, clause( 254, [ value( in( n1, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, in( n1, or1( v( n1, a ) ) ) ), :=( Y, X ), 
% 0.73/1.09    :=( Z, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 258, [ 'equal_value'( X, n0 ), ~( value( in( n1, or1( v( n1, a ) )
% 0.73/1.09     ), X ) ) ] )
% 0.73/1.09  , clause( 430, [ ~( value( in( n1, or1( v( n1, a ) ) ), X ) ), 
% 0.73/1.09    'equal_value'( X, n0 ) ] )
% 0.73/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.09    0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 431, [ value( out( c, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 177, [ value( out( c, h1( v( n1, a ) ) ), X ), ~( value( out( n1
% 0.73/1.09    , and2( h1( v( n1, a ) ) ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 232, [ value( out( n1, and2( h1( v( n1, a ) ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 264, [ value( out( c, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 431, [ value( out( c, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 432, [ value( in( n2, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 136, [ value( in( n2, or1( v( n1, a ) ) ), X ), ~( value( out( c
% 0.73/1.09    , h1( v( n1, a ) ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 264, [ value( out( c, h1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 265, [ value( in( n2, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , clause( 432, [ value( in( n2, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 434, [ ~( value( in( n2, or1( v( n1, a ) ) ), X ) ), 'equal_value'( 
% 0.73/1.09    X, n0 ) ] )
% 0.73/1.09  , clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z )
% 0.73/1.09     ) ] )
% 0.73/1.09  , 2, clause( 265, [ value( in( n2, or1( v( n1, a ) ) ), n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [ :=( X, in( n2, or1( v( n1, a ) ) ) ), :=( Y, X ), 
% 0.73/1.09    :=( Z, n0 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 267, [ 'equal_value'( X, n0 ), ~( value( in( n2, or1( v( n1, a ) )
% 0.73/1.09     ), X ) ) ] )
% 0.73/1.09  , clause( 434, [ ~( value( in( n2, or1( v( n1, a ) ) ), X ) ), 
% 0.73/1.09    'equal_value'( X, n0 ) ] )
% 0.73/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.09    0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 435, [ value( in( n1, or1( v( n1, a ) ) ), n1 ), value( in( n2, or1( 
% 0.73/1.09    v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , clause( 210, [ value( in( n1, or1( v( n1, a ) ) ), n1 ), value( in( n2, 
% 0.73/1.09    or1( v( n1, a ) ) ), n1 ), ~( type( or1( v( n1, a ) ), or ) ) ] )
% 0.73/1.09  , 2, clause( 74, [ type( or1( v( n1, a ) ), or ) ] )
% 0.73/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 280, [ value( in( n2, or1( v( n1, a ) ) ), n1 ), value( in( n1, or1( 
% 0.73/1.09    v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , clause( 435, [ value( in( n1, or1( v( n1, a ) ) ), n1 ), value( in( n2, 
% 0.73/1.09    or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.09     ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 436, [ 'equal_value'( n1, n0 ), value( in( n2, or1( v( n1, a ) ) )
% 0.73/1.09    , n1 ) ] )
% 0.73/1.09  , clause( 258, [ 'equal_value'( X, n0 ), ~( value( in( n1, or1( v( n1, a )
% 0.73/1.09     ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 280, [ value( in( n2, or1( v( n1, a ) ) ), n1 ), value( in( n1
% 0.73/1.09    , or1( v( n1, a ) ) ), n1 ) ] )
% 0.73/1.09  , 1, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 437, [ 'equal_value'( n1, n0 ), 'equal_value'( n1, n0 ) ] )
% 0.73/1.09  , clause( 267, [ 'equal_value'( X, n0 ), ~( value( in( n2, or1( v( n1, a )
% 0.73/1.09     ) ), X ) ) ] )
% 0.73/1.09  , 1, clause( 436, [ 'equal_value'( n1, n0 ), value( in( n2, or1( v( n1, a )
% 0.73/1.09     ) ), n1 ) ] )
% 0.73/1.09  , 1, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  factor(
% 0.73/1.09  clause( 438, [ 'equal_value'( n1, n0 ) ] )
% 0.73/1.09  , clause( 437, [ 'equal_value'( n1, n0 ), 'equal_value'( n1, n0 ) ] )
% 0.73/1.09  , 0, 1, substitution( 0, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 281, [ 'equal_value'( n1, n0 ) ] )
% 0.73/1.09  , clause( 438, [ 'equal_value'( n1, n0 ) ] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  resolution(
% 0.73/1.09  clause( 439, [] )
% 0.73/1.09  , clause( 4, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.73/1.09  , 0, clause( 281, [ 'equal_value'( n1, n0 ) ] )
% 0.73/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  subsumption(
% 0.73/1.09  clause( 285, [] )
% 0.73/1.09  , clause( 439, [] )
% 0.73/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  end.
% 0.73/1.09  
% 0.73/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09  
% 0.73/1.09  Memory use:
% 0.73/1.09  
% 0.73/1.09  space for terms:        5920
% 0.73/1.09  space for clauses:      20407
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  clauses generated:      388
% 0.73/1.09  clauses kept:           286
% 0.73/1.09  clauses selected:       261
% 0.73/1.09  clauses deleted:        4
% 0.73/1.09  clauses inuse deleted:  0
% 0.73/1.09  
% 0.73/1.09  subsentry:          261
% 0.73/1.09  literals s-matched: 168
% 0.73/1.09  literals matched:   105
% 0.73/1.09  full subsumption:   0
% 0.73/1.09  
% 0.73/1.09  checksum:           125370043
% 0.73/1.09  
% 0.73/1.09  
% 0.73/1.09  Bliksem ended
%------------------------------------------------------------------------------