%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HWV008-2.001 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 13:11:38 EDT 2022
% Result : Unsatisfiable 0.69s 1.09s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HWV008-2.001 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.10/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jun 17 04:54:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09 [
% 0.69/1.09 [ ~( connection( X, Y ) ), ~( zero( X ) ), zero( Y ) ],
% 0.69/1.09 [ ~( connection( X, Y ) ), ~( one( X ) ), one( Y ) ],
% 0.69/1.09 [ ~( connection( X, Y ) ), ~( zero( Y ) ), zero( X ) ],
% 0.69/1.09 [ ~( connection( X, Y ) ), ~( one( Y ) ), one( X ) ],
% 0.69/1.09 [ ~( zero( X ) ), ~( one( X ) ) ],
% 0.69/1.09 [ ~( 'and_ok'( X ) ), ~( zero( in1( X ) ) ), zero( out1( X ) ) ],
% 0.69/1.09 [ ~( 'and_ok'( X ) ), ~( zero( in2( X ) ) ), zero( out1( X ) ) ],
% 0.69/1.09 [ ~( 'and_ok'( X ) ), ~( one( in1( X ) ) ), ~( one( in2( X ) ) ), one(
% 0.69/1.09 out1( X ) ) ],
% 0.69/1.09 [ ~( 'and_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X ) ), zero(
% 0.69/1.09 in2( X ) ) ],
% 0.69/1.09 [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) ) ],
% 0.69/1.09 [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in2( X ) ) ],
% 0.69/1.09 [ ~( 'and_ok'( X ) ), ~( abnormal( X ) ) ],
% 0.69/1.09 [ ~( 'logic_and'( X ) ), 'and_ok'( X ), abnormal( X ) ],
% 0.69/1.09 [ ~( 'or_ok'( X ) ), ~( one( in1( X ) ) ), one( out1( X ) ) ],
% 0.69/1.09 [ ~( 'or_ok'( X ) ), ~( one( in2( X ) ) ), one( out1( X ) ) ],
% 0.69/1.09 [ ~( 'or_ok'( X ) ), ~( zero( in1( X ) ) ), ~( zero( in2( X ) ) ), zero(
% 0.69/1.09 out1( X ) ) ],
% 0.69/1.09 [ ~( 'or_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) ), one( in2( X
% 0.69/1.09 ) ) ],
% 0.69/1.09 [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X ) ) ],
% 0.69/1.09 [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in2( X ) ) ],
% 0.69/1.09 [ ~( 'or_ok'( X ) ), ~( abnormal( X ) ) ],
% 0.69/1.09 [ ~( 'logic_or'( X ) ), 'or_ok'( X ), abnormal( X ) ],
% 0.69/1.09 [ ~( 'not_ok'( X ) ), ~( zero( in1( X ) ) ), one( out1( X ) ) ],
% 0.69/1.09 [ ~( 'not_ok'( X ) ), ~( one( in1( X ) ) ), zero( out1( X ) ) ],
% 0.69/1.09 [ ~( 'not_ok'( X ) ), ~( zero( out1( X ) ) ), one( in1( X ) ) ],
% 0.69/1.09 [ ~( 'not_ok'( X ) ), ~( one( out1( X ) ) ), zero( in1( X ) ) ],
% 0.69/1.09 [ ~( 'not_ok'( X ) ), ~( abnormal( X ) ) ],
% 0.69/1.09 [ ~( 'logic_not'( X ) ), 'not_ok'( X ), abnormal( X ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), 'logic_and'( and2( X ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X ) ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), connection( in2( X ), in2( or1( X ) ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), connection( in1( X ), in1( and2( X ) ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), connection( in2( X ), in2( and2( X ) ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), connection( outs( X ), out1( and1( X ) ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X ) ) ) ],
% 0.69/1.09 [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1( and1( X ) ) )
% 0.69/1.09 ],
% 0.69/1.09 [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1( not1( X ) ) )
% 0.69/1.09 ],
% 0.69/1.09 [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2( and1( X ) ) )
% 0.69/1.09 ],
% 0.69/1.09 [ ~( fulladder( X ) ), halfadder( h1( X ) ) ],
% 0.69/1.09 [ ~( fulladder( X ) ), halfadder( h2( X ) ) ],
% 0.69/1.09 [ ~( fulladder( X ) ), 'logic_or'( or1( X ) ) ],
% 0.69/1.09 [ ~( fulladder( X ) ), connection( outs( h1( X ) ), in2( h2( X ) ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( fulladder( X ) ), connection( outc( h1( X ) ), in2( or1( X ) ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( fulladder( X ) ), connection( outc( h2( X ) ), in1( or1( X ) ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( fulladder( X ) ), connection( in1( X ), in1( h2( X ) ) ) ],
% 0.69/1.09 [ ~( fulladder( X ) ), connection( in2( X ), in1( h1( X ) ) ) ],
% 0.69/1.09 [ ~( fulladder( X ) ), connection( inc( X ), in2( h1( X ) ) ) ],
% 0.69/1.09 [ ~( fulladder( X ) ), connection( outs( X ), outs( h2( X ) ) ) ],
% 0.69/1.09 [ ~( fulladder( X ) ), connection( outc( X ), out1( or1( X ) ) ) ],
% 0.69/1.09 [ ~( 'nbit_adder1'( X ) ), fulladder( f1( X ) ) ],
% 0.69/1.09 [ ~( 'nbit_adder1'( X ) ), connection( out1( X ), outs( f1( X ) ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( 'nbit_adder1'( X ) ), connection( outc( X ), outc( f1( X ) ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( 'nbit_adder1'( X ) ), connection( ina1( X ), in1( f1( X ) ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( 'nbit_adder1'( X ) ), connection( inb1( X ), in2( f1( X ) ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( 'nbit_adder1'( X ) ), connection( inc( X ), inc( f1( X ) ) ) ],
% 0.69/1.09 [ 'nbit_adder1'( a ) ],
% 0.69/1.09 [ zero( ina1( a ) ) ],
% 0.69/1.09 [ zero( inb1( a ) ) ],
% 0.69/1.09 [ zero( inc( a ) ) ],
% 0.69/1.09 [ zero( out1( a ) ) ],
% 0.69/1.09 [ one( outc( a ) ) ],
% 0.69/1.09 [ ~( abnormal( or1( f1( a ) ) ) ) ],
% 0.69/1.09 [ ~( abnormal( and2( h1( f1( a ) ) ) ) ) ],
% 0.69/1.09 [ ~( abnormal( and2( h2( f1( a ) ) ) ) ) ]
% 0.69/1.09 ] .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 percentage equality = 0.000000, percentage horn = 0.924242
% 0.69/1.09 This is a near-Horn, non-equality problem
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 0
% 0.69/1.09 useeqrefl = 0
% 0.69/1.09 useeqfact = 0
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 0
% 0.69/1.09 usesimpres = 4
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = standard
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = liftord
% 0.69/1.09
% 0.69/1.09 termordering = none
% 0.69/1.09
% 0.69/1.09 litapriori = 1
% 0.69/1.09 termapriori = 0
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = negative
% 0.69/1.09
% 0.69/1.09 maxweight = 30000
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 0
% 0.69/1.09 increasemaxweight = 0
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 1
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 connection [41, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.69/1.09 zero [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.09 one [43, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.69/1.09 'and_ok' [46, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.69/1.09 in1 [47, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.69/1.09 out1 [48, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.69/1.09 in2 [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.69/1.09 abnormal [50, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.69/1.09 'logic_and' [51, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.69/1.09 'or_ok' [52, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.69/1.09 'logic_or' [53, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.69/1.09 'not_ok' [54, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.69/1.09 'logic_not' [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.69/1.09 halfadder [57, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.69/1.09 and1 [58, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.69/1.09 and2 [59, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.69/1.09 not1 [60, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.69/1.09 or1 [61, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.69/1.09 outs [62, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.69/1.09 outc [63, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.69/1.09 fulladder [64, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.69/1.09 h1 [65, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.69/1.09 h2 [66, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.69/1.09 inc [67, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.69/1.09 'nbit_adder1' [68, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.09 f1 [69, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.69/1.09 ina1 [70, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.09 inb1 [71, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.69/1.09 a [72, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksems!, er is een bewijs:
% 0.69/1.09 % SZS status Unsatisfiable
% 0.69/1.09 % SZS output start Refutation
% 0.69/1.09
% 0.69/1.09 clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 4, [ ~( one( X ) ), ~( zero( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 5, [ ~( 'and_ok'( X ) ), zero( out1( X ) ), ~( zero( in1( X ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 16, [ ~( 'or_ok'( X ) ), one( in1( X ) ), one( in2( X ) ), ~( one(
% 0.69/1.09 out1( X ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 20, [ 'or_ok'( X ), abnormal( X ), ~( 'logic_or'( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 28, [ 'logic_and'( and2( X ) ), ~( halfadder( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 33, [ connection( in1( X ), in1( and2( X ) ) ), ~( halfadder( X ) )
% 0.69/1.09 ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 36, [ connection( outc( X ), out1( and2( X ) ) ), ~( halfadder( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 40, [ halfadder( h1( X ) ), ~( fulladder( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 41, [ halfadder( h2( X ) ), ~( fulladder( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 42, [ 'logic_or'( or1( X ) ), ~( fulladder( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 44, [ connection( outc( h1( X ) ), in2( or1( X ) ) ), ~( fulladder(
% 0.69/1.09 X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 45, [ connection( outc( h2( X ) ), in1( or1( X ) ) ), ~( fulladder(
% 0.69/1.09 X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 46, [ connection( in1( X ), in1( h2( X ) ) ), ~( fulladder( X ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 47, [ connection( in2( X ), in1( h1( X ) ) ), ~( fulladder( X ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 50, [ connection( outc( X ), out1( or1( X ) ) ), ~( fulladder( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 51, [ fulladder( f1( X ) ), ~( 'nbit_adder1'( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 53, [ connection( outc( X ), outc( f1( X ) ) ), ~( 'nbit_adder1'( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 54, [ connection( ina1( X ), in1( f1( X ) ) ), ~( 'nbit_adder1'( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 55, [ connection( inb1( X ), in2( f1( X ) ) ), ~( 'nbit_adder1'( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 57, [ 'nbit_adder1'( a ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 58, [ zero( ina1( a ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 59, [ zero( inb1( a ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 62, [ one( outc( a ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 63, [ ~( abnormal( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 64, [ ~( abnormal( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 65, [ ~( abnormal( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 71, [ 'logic_or'( or1( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 72, [ halfadder( h2( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 73, [ halfadder( h1( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 78, [ 'logic_and'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 79, [ 'logic_and'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 87, [ 'or_ok'( or1( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 90, [ 'and_ok'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 91, [ 'and_ok'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 95, [ connection( inb1( a ), in2( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 97, [ zero( in2( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 99, [ connection( ina1( a ), in1( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 101, [ zero( in1( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 103, [ connection( outc( a ), outc( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 105, [ one( outc( f1( a ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 113, [ connection( outc( f1( a ) ), out1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 115, [ one( out1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 117, [ one( in1( or1( f1( a ) ) ) ), one( in2( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 129, [ connection( in2( f1( a ) ), in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 131, [ zero( in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 136, [ connection( in1( f1( a ) ), in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 138, [ zero( in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 144, [ connection( outc( h1( f1( a ) ) ), out1( and2( h1( f1( a ) )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 145, [ connection( outc( h2( f1( a ) ) ), out1( and2( h2( f1( a ) )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 150, [ connection( in1( h1( f1( a ) ) ), in1( and2( h1( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 151, [ connection( in1( h2( f1( a ) ) ), in1( and2( h2( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 152, [ connection( outc( h2( f1( a ) ) ), in1( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 153, [ one( outc( h2( f1( a ) ) ) ), ~( one( in1( or1( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 157, [ connection( outc( h1( f1( a ) ) ), in2( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 158, [ one( outc( h1( f1( a ) ) ) ), ~( one( in2( or1( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 180, [ zero( in1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 183, [ zero( out1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 186, [ ~( one( out1( and2( h1( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 198, [ zero( in1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 201, [ zero( out1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 204, [ ~( one( out1( and2( h2( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 222, [ ~( one( outc( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 230, [ ~( one( outc( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 231, [ ~( one( in1( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 232, [ ~( one( in2( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 233, [] )
% 0.69/1.09 .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 % SZS output end Refutation
% 0.69/1.09 found a proof!
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 initialclauses(
% 0.69/1.09 [ clause( 235, [ ~( connection( X, Y ) ), ~( zero( X ) ), zero( Y ) ] )
% 0.69/1.09 , clause( 236, [ ~( connection( X, Y ) ), ~( one( X ) ), one( Y ) ] )
% 0.69/1.09 , clause( 237, [ ~( connection( X, Y ) ), ~( zero( Y ) ), zero( X ) ] )
% 0.69/1.09 , clause( 238, [ ~( connection( X, Y ) ), ~( one( Y ) ), one( X ) ] )
% 0.69/1.09 , clause( 239, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.69/1.09 , clause( 240, [ ~( 'and_ok'( X ) ), ~( zero( in1( X ) ) ), zero( out1( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 241, [ ~( 'and_ok'( X ) ), ~( zero( in2( X ) ) ), zero( out1( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 242, [ ~( 'and_ok'( X ) ), ~( one( in1( X ) ) ), ~( one( in2( X )
% 0.69/1.09 ) ), one( out1( X ) ) ] )
% 0.69/1.09 , clause( 243, [ ~( 'and_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X )
% 0.69/1.09 ), zero( in2( X ) ) ] )
% 0.69/1.09 , clause( 244, [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 245, [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in2( X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 246, [ ~( 'and_ok'( X ) ), ~( abnormal( X ) ) ] )
% 0.69/1.09 , clause( 247, [ ~( 'logic_and'( X ) ), 'and_ok'( X ), abnormal( X ) ] )
% 0.69/1.09 , clause( 248, [ ~( 'or_ok'( X ) ), ~( one( in1( X ) ) ), one( out1( X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 249, [ ~( 'or_ok'( X ) ), ~( one( in2( X ) ) ), one( out1( X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 250, [ ~( 'or_ok'( X ) ), ~( zero( in1( X ) ) ), ~( zero( in2( X
% 0.69/1.09 ) ) ), zero( out1( X ) ) ] )
% 0.69/1.09 , clause( 251, [ ~( 'or_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) )
% 0.69/1.09 , one( in2( X ) ) ] )
% 0.69/1.09 , clause( 252, [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 253, [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in2( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 254, [ ~( 'or_ok'( X ) ), ~( abnormal( X ) ) ] )
% 0.69/1.09 , clause( 255, [ ~( 'logic_or'( X ) ), 'or_ok'( X ), abnormal( X ) ] )
% 0.69/1.09 , clause( 256, [ ~( 'not_ok'( X ) ), ~( zero( in1( X ) ) ), one( out1( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 257, [ ~( 'not_ok'( X ) ), ~( one( in1( X ) ) ), zero( out1( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 258, [ ~( 'not_ok'( X ) ), ~( zero( out1( X ) ) ), one( in1( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 259, [ ~( 'not_ok'( X ) ), ~( one( out1( X ) ) ), zero( in1( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 260, [ ~( 'not_ok'( X ) ), ~( abnormal( X ) ) ] )
% 0.69/1.09 , clause( 261, [ ~( 'logic_not'( X ) ), 'not_ok'( X ), abnormal( X ) ] )
% 0.69/1.09 , clause( 262, [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ] )
% 0.69/1.09 , clause( 263, [ ~( halfadder( X ) ), 'logic_and'( and2( X ) ) ] )
% 0.69/1.09 , clause( 264, [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ] )
% 0.69/1.09 , clause( 265, [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.69/1.09 , clause( 266, [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 267, [ ~( halfadder( X ) ), connection( in2( X ), in2( or1( X ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 268, [ ~( halfadder( X ) ), connection( in1( X ), in1( and2( X )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 269, [ ~( halfadder( X ) ), connection( in2( X ), in2( and2( X )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 270, [ ~( halfadder( X ) ), connection( outs( X ), out1( and1( X
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 271, [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 272, [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1(
% 0.69/1.09 and1( X ) ) ) ] )
% 0.69/1.09 , clause( 273, [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1(
% 0.69/1.09 not1( X ) ) ) ] )
% 0.69/1.09 , clause( 274, [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2(
% 0.69/1.09 and1( X ) ) ) ] )
% 0.69/1.09 , clause( 275, [ ~( fulladder( X ) ), halfadder( h1( X ) ) ] )
% 0.69/1.09 , clause( 276, [ ~( fulladder( X ) ), halfadder( h2( X ) ) ] )
% 0.69/1.09 , clause( 277, [ ~( fulladder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.69/1.09 , clause( 278, [ ~( fulladder( X ) ), connection( outs( h1( X ) ), in2( h2(
% 0.69/1.09 X ) ) ) ] )
% 0.69/1.09 , clause( 279, [ ~( fulladder( X ) ), connection( outc( h1( X ) ), in2( or1(
% 0.69/1.09 X ) ) ) ] )
% 0.69/1.09 , clause( 280, [ ~( fulladder( X ) ), connection( outc( h2( X ) ), in1( or1(
% 0.69/1.09 X ) ) ) ] )
% 0.69/1.09 , clause( 281, [ ~( fulladder( X ) ), connection( in1( X ), in1( h2( X ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 282, [ ~( fulladder( X ) ), connection( in2( X ), in1( h1( X ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 283, [ ~( fulladder( X ) ), connection( inc( X ), in2( h1( X ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 284, [ ~( fulladder( X ) ), connection( outs( X ), outs( h2( X )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 285, [ ~( fulladder( X ) ), connection( outc( X ), out1( or1( X )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 286, [ ~( 'nbit_adder1'( X ) ), fulladder( f1( X ) ) ] )
% 0.69/1.09 , clause( 287, [ ~( 'nbit_adder1'( X ) ), connection( out1( X ), outs( f1(
% 0.69/1.09 X ) ) ) ] )
% 0.69/1.09 , clause( 288, [ ~( 'nbit_adder1'( X ) ), connection( outc( X ), outc( f1(
% 0.69/1.09 X ) ) ) ] )
% 0.69/1.09 , clause( 289, [ ~( 'nbit_adder1'( X ) ), connection( ina1( X ), in1( f1( X
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 290, [ ~( 'nbit_adder1'( X ) ), connection( inb1( X ), in2( f1( X
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 291, [ ~( 'nbit_adder1'( X ) ), connection( inc( X ), inc( f1( X
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 292, [ 'nbit_adder1'( a ) ] )
% 0.69/1.09 , clause( 293, [ zero( ina1( a ) ) ] )
% 0.69/1.09 , clause( 294, [ zero( inb1( a ) ) ] )
% 0.69/1.09 , clause( 295, [ zero( inc( a ) ) ] )
% 0.69/1.09 , clause( 296, [ zero( out1( a ) ) ] )
% 0.69/1.09 , clause( 297, [ one( outc( a ) ) ] )
% 0.69/1.09 , clause( 298, [ ~( abnormal( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 299, [ ~( abnormal( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 300, [ ~( abnormal( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 ] ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , clause( 235, [ ~( connection( X, Y ) ), ~( zero( X ) ), zero( Y ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.69/1.09 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , clause( 236, [ ~( connection( X, Y ) ), ~( one( X ) ), one( Y ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.69/1.09 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , clause( 238, [ ~( connection( X, Y ) ), ~( one( Y ) ), one( X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.69/1.09 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 4, [ ~( one( X ) ), ~( zero( X ) ) ] )
% 0.69/1.09 , clause( 239, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 5, [ ~( 'and_ok'( X ) ), zero( out1( X ) ), ~( zero( in1( X ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 240, [ ~( 'and_ok'( X ) ), ~( zero( in1( X ) ) ), zero( out1( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.69/1.09 , clause( 247, [ ~( 'logic_and'( X ) ), 'and_ok'( X ), abnormal( X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.69/1.09 0 ), ==>( 2, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 16, [ ~( 'or_ok'( X ) ), one( in1( X ) ), one( in2( X ) ), ~( one(
% 0.69/1.09 out1( X ) ) ) ] )
% 0.69/1.09 , clause( 251, [ ~( 'or_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) )
% 0.69/1.09 , one( in2( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.09 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 20, [ 'or_ok'( X ), abnormal( X ), ~( 'logic_or'( X ) ) ] )
% 0.69/1.09 , clause( 255, [ ~( 'logic_or'( X ) ), 'or_ok'( X ), abnormal( X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.69/1.09 0 ), ==>( 2, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 28, [ 'logic_and'( and2( X ) ), ~( halfadder( X ) ) ] )
% 0.69/1.09 , clause( 263, [ ~( halfadder( X ) ), 'logic_and'( and2( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 33, [ connection( in1( X ), in1( and2( X ) ) ), ~( halfadder( X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 268, [ ~( halfadder( X ) ), connection( in1( X ), in1( and2( X )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 36, [ connection( outc( X ), out1( and2( X ) ) ), ~( halfadder( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 271, [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 40, [ halfadder( h1( X ) ), ~( fulladder( X ) ) ] )
% 0.69/1.09 , clause( 275, [ ~( fulladder( X ) ), halfadder( h1( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 41, [ halfadder( h2( X ) ), ~( fulladder( X ) ) ] )
% 0.69/1.09 , clause( 276, [ ~( fulladder( X ) ), halfadder( h2( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 42, [ 'logic_or'( or1( X ) ), ~( fulladder( X ) ) ] )
% 0.69/1.09 , clause( 277, [ ~( fulladder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 44, [ connection( outc( h1( X ) ), in2( or1( X ) ) ), ~( fulladder(
% 0.69/1.09 X ) ) ] )
% 0.69/1.09 , clause( 279, [ ~( fulladder( X ) ), connection( outc( h1( X ) ), in2( or1(
% 0.69/1.09 X ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 45, [ connection( outc( h2( X ) ), in1( or1( X ) ) ), ~( fulladder(
% 0.69/1.09 X ) ) ] )
% 0.69/1.09 , clause( 280, [ ~( fulladder( X ) ), connection( outc( h2( X ) ), in1( or1(
% 0.69/1.09 X ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 46, [ connection( in1( X ), in1( h2( X ) ) ), ~( fulladder( X ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 281, [ ~( fulladder( X ) ), connection( in1( X ), in1( h2( X ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 47, [ connection( in2( X ), in1( h1( X ) ) ), ~( fulladder( X ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 282, [ ~( fulladder( X ) ), connection( in2( X ), in1( h1( X ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 50, [ connection( outc( X ), out1( or1( X ) ) ), ~( fulladder( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 285, [ ~( fulladder( X ) ), connection( outc( X ), out1( or1( X )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 51, [ fulladder( f1( X ) ), ~( 'nbit_adder1'( X ) ) ] )
% 0.69/1.09 , clause( 286, [ ~( 'nbit_adder1'( X ) ), fulladder( f1( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 53, [ connection( outc( X ), outc( f1( X ) ) ), ~( 'nbit_adder1'( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 288, [ ~( 'nbit_adder1'( X ) ), connection( outc( X ), outc( f1(
% 0.69/1.09 X ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 54, [ connection( ina1( X ), in1( f1( X ) ) ), ~( 'nbit_adder1'( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 289, [ ~( 'nbit_adder1'( X ) ), connection( ina1( X ), in1( f1( X
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 55, [ connection( inb1( X ), in2( f1( X ) ) ), ~( 'nbit_adder1'( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 290, [ ~( 'nbit_adder1'( X ) ), connection( inb1( X ), in2( f1( X
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 57, [ 'nbit_adder1'( a ) ] )
% 0.69/1.09 , clause( 292, [ 'nbit_adder1'( a ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 58, [ zero( ina1( a ) ) ] )
% 0.69/1.09 , clause( 293, [ zero( ina1( a ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 59, [ zero( inb1( a ) ) ] )
% 0.69/1.09 , clause( 294, [ zero( inb1( a ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 62, [ one( outc( a ) ) ] )
% 0.69/1.09 , clause( 297, [ one( outc( a ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 63, [ ~( abnormal( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 298, [ ~( abnormal( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 64, [ ~( abnormal( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 299, [ ~( abnormal( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 65, [ ~( abnormal( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 300, [ ~( abnormal( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 301, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , clause( 51, [ fulladder( f1( X ) ), ~( 'nbit_adder1'( X ) ) ] )
% 0.69/1.09 , 1, clause( 57, [ 'nbit_adder1'( a ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , clause( 301, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 302, [ 'logic_or'( or1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 42, [ 'logic_or'( or1( X ) ), ~( fulladder( X ) ) ] )
% 0.69/1.09 , 1, clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, f1( a ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 71, [ 'logic_or'( or1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 302, [ 'logic_or'( or1( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 303, [ halfadder( h2( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 41, [ halfadder( h2( X ) ), ~( fulladder( X ) ) ] )
% 0.69/1.09 , 1, clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, f1( a ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 72, [ halfadder( h2( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 303, [ halfadder( h2( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 304, [ halfadder( h1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 40, [ halfadder( h1( X ) ), ~( fulladder( X ) ) ] )
% 0.69/1.09 , 1, clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, f1( a ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 73, [ halfadder( h1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 304, [ halfadder( h1( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 305, [ 'logic_and'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 28, [ 'logic_and'( and2( X ) ), ~( halfadder( X ) ) ] )
% 0.69/1.09 , 1, clause( 73, [ halfadder( h1( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, h1( f1( a ) ) )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 78, [ 'logic_and'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 305, [ 'logic_and'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 306, [ 'logic_and'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 28, [ 'logic_and'( and2( X ) ), ~( halfadder( X ) ) ] )
% 0.69/1.09 , 1, clause( 72, [ halfadder( h2( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, h2( f1( a ) ) )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 79, [ 'logic_and'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 306, [ 'logic_and'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 307, [ 'or_ok'( or1( f1( a ) ) ), abnormal( or1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 20, [ 'or_ok'( X ), abnormal( X ), ~( 'logic_or'( X ) ) ] )
% 0.69/1.09 , 2, clause( 71, [ 'logic_or'( or1( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, or1( f1( a ) ) )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 308, [ 'or_ok'( or1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 63, [ ~( abnormal( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 307, [ 'or_ok'( or1( f1( a ) ) ), abnormal( or1( f1( a ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 87, [ 'or_ok'( or1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 308, [ 'or_ok'( or1( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 309, [ 'and_ok'( and2( h2( f1( a ) ) ) ), abnormal( and2( h2( f1( a
% 0.69/1.09 ) ) ) ) ] )
% 0.69/1.09 , clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.69/1.09 , 2, clause( 79, [ 'logic_and'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, and2( h2( f1( a ) ) ) )] ), substitution( 1
% 0.69/1.09 , [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 310, [ 'and_ok'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 65, [ ~( abnormal( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 309, [ 'and_ok'( and2( h2( f1( a ) ) ) ), abnormal( and2( h2(
% 0.69/1.09 f1( a ) ) ) ) ] )
% 0.69/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 90, [ 'and_ok'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 310, [ 'and_ok'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 311, [ 'and_ok'( and2( h1( f1( a ) ) ) ), abnormal( and2( h1( f1( a
% 0.69/1.09 ) ) ) ) ] )
% 0.69/1.09 , clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.69/1.09 , 2, clause( 78, [ 'logic_and'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, and2( h1( f1( a ) ) ) )] ), substitution( 1
% 0.69/1.09 , [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 312, [ 'and_ok'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 64, [ ~( abnormal( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 311, [ 'and_ok'( and2( h1( f1( a ) ) ) ), abnormal( and2( h1(
% 0.69/1.09 f1( a ) ) ) ) ] )
% 0.69/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 91, [ 'and_ok'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 312, [ 'and_ok'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 313, [ connection( inb1( a ), in2( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 55, [ connection( inb1( X ), in2( f1( X ) ) ), ~( 'nbit_adder1'(
% 0.69/1.09 X ) ) ] )
% 0.69/1.09 , 1, clause( 57, [ 'nbit_adder1'( a ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 95, [ connection( inb1( a ), in2( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 313, [ connection( inb1( a ), in2( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 314, [ ~( zero( inb1( a ) ) ), zero( in2( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 95, [ connection( inb1( a ), in2( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, inb1( a ) ), :=( Y, in2( f1( a ) ) )] ),
% 0.69/1.09 substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 315, [ zero( in2( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 314, [ ~( zero( inb1( a ) ) ), zero( in2( f1( a ) ) ) ] )
% 0.69/1.09 , 0, clause( 59, [ zero( inb1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 97, [ zero( in2( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 315, [ zero( in2( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 316, [ connection( ina1( a ), in1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 54, [ connection( ina1( X ), in1( f1( X ) ) ), ~( 'nbit_adder1'(
% 0.69/1.09 X ) ) ] )
% 0.69/1.09 , 1, clause( 57, [ 'nbit_adder1'( a ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 99, [ connection( ina1( a ), in1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 316, [ connection( ina1( a ), in1( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 317, [ ~( zero( ina1( a ) ) ), zero( in1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 99, [ connection( ina1( a ), in1( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, ina1( a ) ), :=( Y, in1( f1( a ) ) )] ),
% 0.69/1.09 substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 318, [ zero( in1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 317, [ ~( zero( ina1( a ) ) ), zero( in1( f1( a ) ) ) ] )
% 0.69/1.09 , 0, clause( 58, [ zero( ina1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 101, [ zero( in1( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 318, [ zero( in1( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 319, [ connection( outc( a ), outc( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 53, [ connection( outc( X ), outc( f1( X ) ) ), ~( 'nbit_adder1'(
% 0.69/1.09 X ) ) ] )
% 0.69/1.09 , 1, clause( 57, [ 'nbit_adder1'( a ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 103, [ connection( outc( a ), outc( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 319, [ connection( outc( a ), outc( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 320, [ ~( one( outc( a ) ) ), one( outc( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 103, [ connection( outc( a ), outc( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, outc( a ) ), :=( Y, outc( f1( a ) ) )] ),
% 0.69/1.09 substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 321, [ one( outc( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 320, [ ~( one( outc( a ) ) ), one( outc( f1( a ) ) ) ] )
% 0.69/1.09 , 0, clause( 62, [ one( outc( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 105, [ one( outc( f1( a ) ) ) ] )
% 0.69/1.09 , clause( 321, [ one( outc( f1( a ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 322, [ connection( outc( f1( a ) ), out1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 50, [ connection( outc( X ), out1( or1( X ) ) ), ~( fulladder( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 1, clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, f1( a ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 113, [ connection( outc( f1( a ) ), out1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 322, [ connection( outc( f1( a ) ), out1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 323, [ ~( one( outc( f1( a ) ) ) ), one( out1( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 113, [ connection( outc( f1( a ) ), out1( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, outc( f1( a ) ) ), :=( Y, out1( or1( f1( a )
% 0.69/1.09 ) ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 324, [ one( out1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 323, [ ~( one( outc( f1( a ) ) ) ), one( out1( or1( f1( a ) ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, clause( 105, [ one( outc( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 115, [ one( out1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 324, [ one( out1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 325, [ ~( 'or_ok'( or1( f1( a ) ) ) ), one( in1( or1( f1( a ) ) ) )
% 0.69/1.09 , one( in2( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 16, [ ~( 'or_ok'( X ) ), one( in1( X ) ), one( in2( X ) ), ~( one(
% 0.69/1.09 out1( X ) ) ) ] )
% 0.69/1.09 , 3, clause( 115, [ one( out1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, or1( f1( a ) ) )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 326, [ one( in1( or1( f1( a ) ) ) ), one( in2( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 325, [ ~( 'or_ok'( or1( f1( a ) ) ) ), one( in1( or1( f1( a ) ) )
% 0.69/1.09 ), one( in2( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 87, [ 'or_ok'( or1( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 117, [ one( in1( or1( f1( a ) ) ) ), one( in2( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 326, [ one( in1( or1( f1( a ) ) ) ), one( in2( or1( f1( a ) ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 327, [ connection( in2( f1( a ) ), in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 47, [ connection( in2( X ), in1( h1( X ) ) ), ~( fulladder( X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 1, clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, f1( a ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 129, [ connection( in2( f1( a ) ), in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 327, [ connection( in2( f1( a ) ), in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 328, [ ~( zero( in2( f1( a ) ) ) ), zero( in1( h1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 129, [ connection( in2( f1( a ) ), in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, in2( f1( a ) ) ), :=( Y, in1( h1( f1( a ) )
% 0.69/1.09 ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 329, [ zero( in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 328, [ ~( zero( in2( f1( a ) ) ) ), zero( in1( h1( f1( a ) ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, clause( 97, [ zero( in2( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 131, [ zero( in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 329, [ zero( in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 330, [ connection( in1( f1( a ) ), in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 46, [ connection( in1( X ), in1( h2( X ) ) ), ~( fulladder( X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 1, clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, f1( a ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 136, [ connection( in1( f1( a ) ), in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 330, [ connection( in1( f1( a ) ), in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 331, [ ~( zero( in1( f1( a ) ) ) ), zero( in1( h2( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 136, [ connection( in1( f1( a ) ), in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, in1( f1( a ) ) ), :=( Y, in1( h2( f1( a ) )
% 0.69/1.09 ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 332, [ zero( in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 331, [ ~( zero( in1( f1( a ) ) ) ), zero( in1( h2( f1( a ) ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, clause( 101, [ zero( in1( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 138, [ zero( in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 332, [ zero( in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 333, [ connection( outc( h1( f1( a ) ) ), out1( and2( h1( f1( a ) )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 36, [ connection( outc( X ), out1( and2( X ) ) ), ~( halfadder( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 1, clause( 73, [ halfadder( h1( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, h1( f1( a ) ) )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 144, [ connection( outc( h1( f1( a ) ) ), out1( and2( h1( f1( a ) )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 333, [ connection( outc( h1( f1( a ) ) ), out1( and2( h1( f1( a )
% 0.69/1.09 ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 334, [ connection( outc( h2( f1( a ) ) ), out1( and2( h2( f1( a ) )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 36, [ connection( outc( X ), out1( and2( X ) ) ), ~( halfadder( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 1, clause( 72, [ halfadder( h2( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, h2( f1( a ) ) )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 145, [ connection( outc( h2( f1( a ) ) ), out1( and2( h2( f1( a ) )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 334, [ connection( outc( h2( f1( a ) ) ), out1( and2( h2( f1( a )
% 0.69/1.09 ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 335, [ connection( in1( h1( f1( a ) ) ), in1( and2( h1( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 33, [ connection( in1( X ), in1( and2( X ) ) ), ~( halfadder( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 1, clause( 73, [ halfadder( h1( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, h1( f1( a ) ) )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 150, [ connection( in1( h1( f1( a ) ) ), in1( and2( h1( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 335, [ connection( in1( h1( f1( a ) ) ), in1( and2( h1( f1( a ) )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 336, [ connection( in1( h2( f1( a ) ) ), in1( and2( h2( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 33, [ connection( in1( X ), in1( and2( X ) ) ), ~( halfadder( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 1, clause( 72, [ halfadder( h2( f1( a ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, h2( f1( a ) ) )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 151, [ connection( in1( h2( f1( a ) ) ), in1( and2( h2( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 336, [ connection( in1( h2( f1( a ) ) ), in1( and2( h2( f1( a ) )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 337, [ connection( outc( h2( f1( a ) ) ), in1( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 45, [ connection( outc( h2( X ) ), in1( or1( X ) ) ), ~(
% 0.69/1.09 fulladder( X ) ) ] )
% 0.69/1.09 , 1, clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, f1( a ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 152, [ connection( outc( h2( f1( a ) ) ), in1( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 337, [ connection( outc( h2( f1( a ) ) ), in1( or1( f1( a ) ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 338, [ ~( one( in1( or1( f1( a ) ) ) ) ), one( outc( h2( f1( a ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 152, [ connection( outc( h2( f1( a ) ) ), in1( or1( f1( a ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, outc( h2( f1( a ) ) ) ), :=( Y, in1( or1( f1(
% 0.69/1.09 a ) ) ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 153, [ one( outc( h2( f1( a ) ) ) ), ~( one( in1( or1( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 338, [ ~( one( in1( or1( f1( a ) ) ) ) ), one( outc( h2( f1( a )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 339, [ connection( outc( h1( f1( a ) ) ), in2( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 44, [ connection( outc( h1( X ) ), in2( or1( X ) ) ), ~(
% 0.69/1.09 fulladder( X ) ) ] )
% 0.69/1.09 , 1, clause( 70, [ fulladder( f1( a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, f1( a ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 157, [ connection( outc( h1( f1( a ) ) ), in2( or1( f1( a ) ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 339, [ connection( outc( h1( f1( a ) ) ), in2( or1( f1( a ) ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 340, [ ~( one( in2( or1( f1( a ) ) ) ) ), one( outc( h1( f1( a ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 157, [ connection( outc( h1( f1( a ) ) ), in2( or1( f1( a ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, outc( h1( f1( a ) ) ) ), :=( Y, in2( or1( f1(
% 0.69/1.09 a ) ) ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 158, [ one( outc( h1( f1( a ) ) ) ), ~( one( in2( or1( f1( a ) ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 340, [ ~( one( in2( or1( f1( a ) ) ) ) ), one( outc( h1( f1( a )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 341, [ ~( zero( in1( h1( f1( a ) ) ) ) ), zero( in1( and2( h1( f1(
% 0.69/1.09 a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 150, [ connection( in1( h1( f1( a ) ) ), in1( and2( h1( f1( a
% 0.69/1.09 ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, in1( h1( f1( a ) ) ) ), :=( Y, in1( and2( h1(
% 0.69/1.09 f1( a ) ) ) ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 342, [ zero( in1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 341, [ ~( zero( in1( h1( f1( a ) ) ) ) ), zero( in1( and2( h1( f1(
% 0.69/1.09 a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 131, [ zero( in1( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 180, [ zero( in1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 342, [ zero( in1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 343, [ ~( 'and_ok'( and2( h1( f1( a ) ) ) ) ), zero( out1( and2( h1(
% 0.69/1.09 f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 5, [ ~( 'and_ok'( X ) ), zero( out1( X ) ), ~( zero( in1( X ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 2, clause( 180, [ zero( in1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, and2( h1( f1( a ) ) ) )] ), substitution( 1
% 0.69/1.09 , [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 344, [ zero( out1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 343, [ ~( 'and_ok'( and2( h1( f1( a ) ) ) ) ), zero( out1( and2(
% 0.69/1.09 h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 91, [ 'and_ok'( and2( h1( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 183, [ zero( out1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 344, [ zero( out1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 345, [ ~( one( out1( and2( h1( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 , clause( 4, [ ~( one( X ) ), ~( zero( X ) ) ] )
% 0.69/1.09 , 1, clause( 183, [ zero( out1( and2( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, out1( and2( h1( f1( a ) ) ) ) )] ),
% 0.69/1.09 substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 186, [ ~( one( out1( and2( h1( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 , clause( 345, [ ~( one( out1( and2( h1( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 346, [ ~( zero( in1( h2( f1( a ) ) ) ) ), zero( in1( and2( h2( f1(
% 0.69/1.09 a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 151, [ connection( in1( h2( f1( a ) ) ), in1( and2( h2( f1( a
% 0.69/1.09 ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, in1( h2( f1( a ) ) ) ), :=( Y, in1( and2( h2(
% 0.69/1.09 f1( a ) ) ) ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 347, [ zero( in1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 346, [ ~( zero( in1( h2( f1( a ) ) ) ) ), zero( in1( and2( h2( f1(
% 0.69/1.09 a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 138, [ zero( in1( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 198, [ zero( in1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 347, [ zero( in1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 348, [ ~( 'and_ok'( and2( h2( f1( a ) ) ) ) ), zero( out1( and2( h2(
% 0.69/1.09 f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 5, [ ~( 'and_ok'( X ) ), zero( out1( X ) ), ~( zero( in1( X ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 2, clause( 198, [ zero( in1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, and2( h2( f1( a ) ) ) )] ), substitution( 1
% 0.69/1.09 , [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 349, [ zero( out1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 348, [ ~( 'and_ok'( and2( h2( f1( a ) ) ) ) ), zero( out1( and2(
% 0.69/1.09 h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 90, [ 'and_ok'( and2( h2( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 201, [ zero( out1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 349, [ zero( out1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 350, [ ~( one( out1( and2( h2( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 , clause( 4, [ ~( one( X ) ), ~( zero( X ) ) ] )
% 0.69/1.09 , 1, clause( 201, [ zero( out1( and2( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, out1( and2( h2( f1( a ) ) ) ) )] ),
% 0.69/1.09 substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 204, [ ~( one( out1( and2( h2( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 , clause( 350, [ ~( one( out1( and2( h2( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 351, [ ~( one( outc( h1( f1( a ) ) ) ) ), one( out1( and2( h1( f1(
% 0.69/1.09 a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 144, [ connection( outc( h1( f1( a ) ) ), out1( and2( h1( f1(
% 0.69/1.09 a ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, outc( h1( f1( a ) ) ) ), :=( Y, out1( and2(
% 0.69/1.09 h1( f1( a ) ) ) ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 352, [ ~( one( outc( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 186, [ ~( one( out1( and2( h1( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 351, [ ~( one( outc( h1( f1( a ) ) ) ) ), one( out1( and2( h1(
% 0.69/1.09 f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 222, [ ~( one( outc( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 352, [ ~( one( outc( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 353, [ ~( one( outc( h2( f1( a ) ) ) ) ), one( out1( and2( h2( f1(
% 0.69/1.09 a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.69/1.09 , 2, clause( 145, [ connection( outc( h2( f1( a ) ) ), out1( and2( h2( f1(
% 0.69/1.09 a ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, outc( h2( f1( a ) ) ) ), :=( Y, out1( and2(
% 0.69/1.09 h2( f1( a ) ) ) ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 354, [ ~( one( outc( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 204, [ ~( one( out1( and2( h2( f1( a ) ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 353, [ ~( one( outc( h2( f1( a ) ) ) ) ), one( out1( and2( h2(
% 0.69/1.09 f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 230, [ ~( one( outc( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 354, [ ~( one( outc( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 355, [ ~( one( in1( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 230, [ ~( one( outc( h2( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 153, [ one( outc( h2( f1( a ) ) ) ), ~( one( in1( or1( f1( a )
% 0.69/1.09 ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 231, [ ~( one( in1( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 355, [ ~( one( in1( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 356, [ ~( one( in2( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 222, [ ~( one( outc( h1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 158, [ one( outc( h1( f1( a ) ) ) ), ~( one( in2( or1( f1( a )
% 0.69/1.09 ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 232, [ ~( one( in2( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , clause( 356, [ ~( one( in2( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 357, [ one( in1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , clause( 232, [ ~( one( in2( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 117, [ one( in1( or1( f1( a ) ) ) ), one( in2( or1( f1( a ) )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 358, [] )
% 0.69/1.09 , clause( 231, [ ~( one( in1( or1( f1( a ) ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 357, [ one( in1( or1( f1( a ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 233, [] )
% 0.69/1.09 , clause( 358, [] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 end.
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 Memory use:
% 0.69/1.09
% 0.69/1.09 space for terms: 3503
% 0.69/1.09 space for clauses: 15177
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 clauses generated: 300
% 0.69/1.09 clauses kept: 234
% 0.69/1.09 clauses selected: 191
% 0.69/1.09 clauses deleted: 4
% 0.69/1.09 clauses inuse deleted: 0
% 0.69/1.09
% 0.69/1.09 subsentry: 74
% 0.69/1.09 literals s-matched: 72
% 0.69/1.09 literals matched: 72
% 0.69/1.09 full subsumption: 0
% 0.69/1.09
% 0.69/1.09 checksum: -1239184916
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksem ended
%------------------------------------------------------------------------------