%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HWV008-2.002 : 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 0.72s 1.08s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HWV008-2.002 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.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 02:02:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08 [
% 0.72/1.08 [ ~( connection( X, Y ) ), ~( zero( X ) ), zero( Y ) ],
% 0.72/1.08 [ ~( connection( X, Y ) ), ~( one( X ) ), one( Y ) ],
% 0.72/1.08 [ ~( connection( X, Y ) ), ~( zero( Y ) ), zero( X ) ],
% 0.72/1.08 [ ~( connection( X, Y ) ), ~( one( Y ) ), one( X ) ],
% 0.72/1.08 [ ~( zero( X ) ), ~( one( X ) ) ],
% 0.72/1.08 [ ~( 'and_ok'( X ) ), ~( zero( in1( X ) ) ), zero( out1( X ) ) ],
% 0.72/1.08 [ ~( 'and_ok'( X ) ), ~( zero( in2( X ) ) ), zero( out1( X ) ) ],
% 0.72/1.08 [ ~( 'and_ok'( X ) ), ~( one( in1( X ) ) ), ~( one( in2( X ) ) ), one(
% 0.72/1.08 out1( X ) ) ],
% 0.72/1.08 [ ~( 'and_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X ) ), zero(
% 0.72/1.08 in2( X ) ) ],
% 0.72/1.08 [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) ) ],
% 0.72/1.08 [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in2( X ) ) ],
% 0.72/1.08 [ ~( 'and_ok'( X ) ), ~( abnormal( X ) ) ],
% 0.72/1.08 [ ~( 'logic_and'( X ) ), 'and_ok'( X ), abnormal( X ) ],
% 0.72/1.08 [ ~( 'or_ok'( X ) ), ~( one( in1( X ) ) ), one( out1( X ) ) ],
% 0.72/1.08 [ ~( 'or_ok'( X ) ), ~( one( in2( X ) ) ), one( out1( X ) ) ],
% 0.72/1.08 [ ~( 'or_ok'( X ) ), ~( zero( in1( X ) ) ), ~( zero( in2( X ) ) ), zero(
% 0.72/1.08 out1( X ) ) ],
% 0.72/1.08 [ ~( 'or_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) ), one( in2( X
% 0.72/1.08 ) ) ],
% 0.72/1.08 [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X ) ) ],
% 0.72/1.08 [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in2( X ) ) ],
% 0.72/1.08 [ ~( 'or_ok'( X ) ), ~( abnormal( X ) ) ],
% 0.72/1.08 [ ~( 'logic_or'( X ) ), 'or_ok'( X ), abnormal( X ) ],
% 0.72/1.08 [ ~( 'not_ok'( X ) ), ~( zero( in1( X ) ) ), one( out1( X ) ) ],
% 0.72/1.08 [ ~( 'not_ok'( X ) ), ~( one( in1( X ) ) ), zero( out1( X ) ) ],
% 0.72/1.08 [ ~( 'not_ok'( X ) ), ~( zero( out1( X ) ) ), one( in1( X ) ) ],
% 0.72/1.08 [ ~( 'not_ok'( X ) ), ~( one( out1( X ) ) ), zero( in1( X ) ) ],
% 0.72/1.08 [ ~( 'not_ok'( X ) ), ~( abnormal( X ) ) ],
% 0.72/1.08 [ ~( 'logic_not'( X ) ), 'not_ok'( X ), abnormal( X ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), 'logic_and'( and2( X ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X ) ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), connection( in2( X ), in2( or1( X ) ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), connection( in1( X ), in1( and2( X ) ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), connection( in2( X ), in2( and2( X ) ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), connection( outs( X ), out1( and1( X ) ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X ) ) ) ],
% 0.72/1.08 [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1( and1( X ) ) )
% 0.72/1.08 ],
% 0.72/1.08 [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1( not1( X ) ) )
% 0.72/1.08 ],
% 0.72/1.08 [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2( and1( X ) ) )
% 0.72/1.08 ],
% 0.72/1.08 [ ~( fulladder( X ) ), halfadder( h1( X ) ) ],
% 0.72/1.08 [ ~( fulladder( X ) ), halfadder( h2( X ) ) ],
% 0.72/1.08 [ ~( fulladder( X ) ), 'logic_or'( or1( X ) ) ],
% 0.72/1.08 [ ~( fulladder( X ) ), connection( outs( h1( X ) ), in2( h2( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( fulladder( X ) ), connection( outc( h1( X ) ), in2( or1( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( fulladder( X ) ), connection( outc( h2( X ) ), in1( or1( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( fulladder( X ) ), connection( in1( X ), in1( h2( X ) ) ) ],
% 0.72/1.08 [ ~( fulladder( X ) ), connection( in2( X ), in1( h1( X ) ) ) ],
% 0.72/1.08 [ ~( fulladder( X ) ), connection( inc( X ), in2( h1( X ) ) ) ],
% 0.72/1.08 [ ~( fulladder( X ) ), connection( outs( X ), outs( h2( X ) ) ) ],
% 0.72/1.08 [ ~( fulladder( X ) ), connection( outc( X ), out1( or1( X ) ) ) ],
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), fulladder( f1( X ) ) ],
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), fulladder( f2( X ) ) ],
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), connection( out1( X ), out1( f1( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), connection( out2( X ), out1( f2( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), connection( outc( X ), outc( f2( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), connection( ina1( X ), in1( f1( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), connection( inb1( X ), in2( f1( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), connection( ina2( X ), in1( f2( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), connection( inb2( X ), in2( f2( X ) ) ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), connection( outc( f1( X ) ), inc( f2( X ) ) )
% 0.72/1.08 ],
% 0.72/1.08 [ ~( 'nbit_adder2'( X ) ), connection( inc( X ), inc( f1( X ) ) ) ],
% 0.72/1.08 [ 'nbit_adder2'( a ) ],
% 0.72/1.08 [ zero( ina1( a ) ) ],
% 0.72/1.08 [ zero( ina2( a ) ) ],
% 0.72/1.08 [ zero( inb1( a ) ) ],
% 0.72/1.08 [ zero( inb2( a ) ) ],
% 0.72/1.08 [ zero( inc( a ) ) ],
% 0.72/1.08 [ zero( out1( a ) ) ],
% 0.72/1.08 [ zero( out2( a ) ) ],
% 0.72/1.08 [ one( outc( a ) ) ],
% 0.72/1.08 [ ~( abnormal( or1( f2( a ) ) ) ) ],
% 0.72/1.08 [ ~( abnormal( and2( h1( f2( a ) ) ) ) ) ],
% 0.72/1.08 [ ~( abnormal( and2( h2( f2( a ) ) ) ) ) ]
% 0.72/1.08 ] .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 percentage equality = 0.000000, percentage horn = 0.932432
% 0.72/1.08 This is a near-Horn, non-equality problem
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 0
% 0.72/1.08 useeqrefl = 0
% 0.72/1.08 useeqfact = 0
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 0
% 0.72/1.08 usesimpres = 4
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = standard
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = liftord
% 0.72/1.08
% 0.72/1.08 termordering = none
% 0.72/1.08
% 0.72/1.08 litapriori = 1
% 0.72/1.08 termapriori = 0
% 0.72/1.08 litaposteriori = 0
% 0.72/1.08 termaposteriori = 0
% 0.72/1.08 demodaposteriori = 0
% 0.72/1.08 ordereqreflfact = 0
% 0.72/1.08
% 0.72/1.08 litselect = negative
% 0.72/1.08
% 0.72/1.08 maxweight = 30000
% 0.72/1.08 maxdepth = 30000
% 0.72/1.08 maxlength = 115
% 0.72/1.08 maxnrvars = 195
% 0.72/1.08 excuselevel = 0
% 0.72/1.08 increasemaxweight = 0
% 0.72/1.08
% 0.72/1.08 maxselected = 10000000
% 0.72/1.08 maxnrclauses = 10000000
% 0.72/1.08
% 0.72/1.08 showgenerated = 0
% 0.72/1.08 showkept = 0
% 0.72/1.08 showselected = 0
% 0.72/1.08 showdeleted = 0
% 0.72/1.08 showresimp = 1
% 0.72/1.08 showstatus = 2000
% 0.72/1.08
% 0.72/1.08 prologoutput = 1
% 0.72/1.08 nrgoals = 5000000
% 0.72/1.08 totalproof = 1
% 0.72/1.08
% 0.72/1.08 Symbols occurring in the translation:
% 0.72/1.08
% 0.72/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.08 . [1, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.08 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 connection [41, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.72/1.08 zero [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.08 one [43, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.08 'and_ok' [46, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.08 in1 [47, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.08 out1 [48, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.72/1.08 in2 [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.08 abnormal [50, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.72/1.08 'logic_and' [51, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.72/1.08 'or_ok' [52, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.72/1.08 'logic_or' [53, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.72/1.08 'not_ok' [54, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.08 'logic_not' [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.72/1.08 halfadder [57, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.08 and1 [58, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.72/1.08 and2 [59, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.72/1.08 not1 [60, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.08 or1 [61, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.72/1.08 outs [62, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.72/1.08 outc [63, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.72/1.08 fulladder [64, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.72/1.08 h1 [65, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.08 h2 [66, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.08 inc [67, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.08 'nbit_adder2' [68, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.08 f1 [69, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.08 f2 [70, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.08 out2 [71, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.08 ina1 [72, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.08 inb1 [73, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.08 ina2 [74, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.72/1.08 inb2 [75, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.08 a [76, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Starting Search:
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksems!, er is een bewijs:
% 0.72/1.08 % SZS status Unsatisfiable
% 0.72/1.08 % SZS output start Refutation
% 0.72/1.08
% 0.72/1.08 clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 2, [ ~( zero( Y ) ), zero( X ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 4, [ ~( one( X ) ), ~( zero( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 5, [ ~( 'and_ok'( X ) ), zero( out1( X ) ), ~( zero( in1( X ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 16, [ ~( 'or_ok'( X ) ), one( in1( X ) ), one( in2( X ) ), ~( one(
% 0.72/1.08 out1( X ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 20, [ 'or_ok'( X ), abnormal( X ), ~( 'logic_or'( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 28, [ 'logic_and'( and2( X ) ), ~( halfadder( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 33, [ connection( in1( X ), in1( and2( X ) ) ), ~( halfadder( X ) )
% 0.72/1.08 ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 36, [ connection( outc( X ), out1( and2( X ) ) ), ~( halfadder( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 40, [ halfadder( h1( X ) ), ~( fulladder( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 41, [ halfadder( h2( X ) ), ~( fulladder( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 42, [ 'logic_or'( or1( X ) ), ~( fulladder( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 44, [ connection( outc( h1( X ) ), in2( or1( X ) ) ), ~( fulladder(
% 0.72/1.08 X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 45, [ connection( outc( h2( X ) ), in1( or1( X ) ) ), ~( fulladder(
% 0.72/1.08 X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 46, [ connection( in1( X ), in1( h2( X ) ) ), ~( fulladder( X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 47, [ connection( in2( X ), in1( h1( X ) ) ), ~( fulladder( X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 50, [ connection( outc( X ), out1( or1( X ) ) ), ~( fulladder( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 52, [ fulladder( f2( X ) ), ~( 'nbit_adder2'( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 55, [ connection( outc( X ), outc( f2( X ) ) ), ~( 'nbit_adder2'( X
% 0.72/1.08 ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 58, [ connection( ina2( X ), in1( f2( X ) ) ), ~( 'nbit_adder2'( X
% 0.72/1.08 ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 59, [ connection( inb2( X ), in2( f2( X ) ) ), ~( 'nbit_adder2'( X
% 0.72/1.08 ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 62, [ 'nbit_adder2'( a ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 64, [ zero( ina2( a ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 66, [ zero( inb2( a ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 70, [ one( outc( a ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 71, [ ~( abnormal( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 72, [ ~( abnormal( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 73, [ ~( abnormal( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 84, [ 'logic_or'( or1( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 86, [ halfadder( h2( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 88, [ halfadder( h1( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 98, [ 'logic_and'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 100, [ 'logic_and'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 102, [ 'and_ok'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 104, [ 'and_ok'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 122, [ 'or_ok'( or1( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 128, [ connection( inb2( a ), in2( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 131, [ zero( in2( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 133, [ connection( ina2( a ), in1( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 135, [ zero( in1( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 152, [ connection( outc( a ), outc( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 158, [ one( outc( f2( a ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 160, [ connection( in1( h1( f2( a ) ) ), in1( and2( h1( f2( a ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 162, [ connection( in1( h2( f2( a ) ) ), in1( and2( h2( f2( a ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 181, [ connection( outc( f2( a ) ), out1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 186, [ connection( outc( h1( f2( a ) ) ), out1( and2( h1( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 188, [ connection( outc( h2( f2( a ) ) ), out1( and2( h2( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 191, [ one( out1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 194, [ one( in1( or1( f2( a ) ) ) ), one( in2( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 225, [ connection( in2( f2( a ) ), in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 235, [ zero( in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 242, [ connection( in1( f2( a ) ), in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 249, [ connection( outc( h1( f2( a ) ) ), in2( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 251, [ zero( in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 256, [ connection( outc( h2( f2( a ) ) ), in1( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 261, [ one( outc( h2( f2( a ) ) ) ), ~( one( in1( or1( f2( a ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 272, [ zero( in2( or1( f2( a ) ) ) ), ~( zero( outc( h1( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 303, [ zero( outc( h1( f2( a ) ) ) ), ~( zero( out1( and2( h1( f2(
% 0.72/1.08 a ) ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 316, [ zero( outc( h2( f2( a ) ) ) ), ~( zero( out1( and2( h2( f2(
% 0.72/1.08 a ) ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 376, [ zero( in1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 379, [ zero( out1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 396, [ zero( in1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 404, [ zero( out1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 459, [ zero( outc( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 460, [ zero( in2( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 463, [ ~( one( in2( or1( f2( a ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 464, [ one( in1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 465, [ one( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 467, [ zero( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 469, [] )
% 0.72/1.08 .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 % SZS output end Refutation
% 0.72/1.08 found a proof!
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 initialclauses(
% 0.72/1.08 [ clause( 471, [ ~( connection( X, Y ) ), ~( zero( X ) ), zero( Y ) ] )
% 0.72/1.08 , clause( 472, [ ~( connection( X, Y ) ), ~( one( X ) ), one( Y ) ] )
% 0.72/1.08 , clause( 473, [ ~( connection( X, Y ) ), ~( zero( Y ) ), zero( X ) ] )
% 0.72/1.08 , clause( 474, [ ~( connection( X, Y ) ), ~( one( Y ) ), one( X ) ] )
% 0.72/1.08 , clause( 475, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.72/1.08 , clause( 476, [ ~( 'and_ok'( X ) ), ~( zero( in1( X ) ) ), zero( out1( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 477, [ ~( 'and_ok'( X ) ), ~( zero( in2( X ) ) ), zero( out1( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 478, [ ~( 'and_ok'( X ) ), ~( one( in1( X ) ) ), ~( one( in2( X )
% 0.72/1.08 ) ), one( out1( X ) ) ] )
% 0.72/1.08 , clause( 479, [ ~( 'and_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X )
% 0.72/1.08 ), zero( in2( X ) ) ] )
% 0.72/1.08 , clause( 480, [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 481, [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in2( X ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 482, [ ~( 'and_ok'( X ) ), ~( abnormal( X ) ) ] )
% 0.72/1.08 , clause( 483, [ ~( 'logic_and'( X ) ), 'and_ok'( X ), abnormal( X ) ] )
% 0.72/1.08 , clause( 484, [ ~( 'or_ok'( X ) ), ~( one( in1( X ) ) ), one( out1( X ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 485, [ ~( 'or_ok'( X ) ), ~( one( in2( X ) ) ), one( out1( X ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 486, [ ~( 'or_ok'( X ) ), ~( zero( in1( X ) ) ), ~( zero( in2( X
% 0.72/1.08 ) ) ), zero( out1( X ) ) ] )
% 0.72/1.08 , clause( 487, [ ~( 'or_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) )
% 0.72/1.08 , one( in2( X ) ) ] )
% 0.72/1.08 , clause( 488, [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 489, [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in2( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 490, [ ~( 'or_ok'( X ) ), ~( abnormal( X ) ) ] )
% 0.72/1.08 , clause( 491, [ ~( 'logic_or'( X ) ), 'or_ok'( X ), abnormal( X ) ] )
% 0.72/1.08 , clause( 492, [ ~( 'not_ok'( X ) ), ~( zero( in1( X ) ) ), one( out1( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 493, [ ~( 'not_ok'( X ) ), ~( one( in1( X ) ) ), zero( out1( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 494, [ ~( 'not_ok'( X ) ), ~( zero( out1( X ) ) ), one( in1( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 495, [ ~( 'not_ok'( X ) ), ~( one( out1( X ) ) ), zero( in1( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 496, [ ~( 'not_ok'( X ) ), ~( abnormal( X ) ) ] )
% 0.72/1.08 , clause( 497, [ ~( 'logic_not'( X ) ), 'not_ok'( X ), abnormal( X ) ] )
% 0.72/1.08 , clause( 498, [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ] )
% 0.72/1.08 , clause( 499, [ ~( halfadder( X ) ), 'logic_and'( and2( X ) ) ] )
% 0.72/1.08 , clause( 500, [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ] )
% 0.72/1.08 , clause( 501, [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.72/1.08 , clause( 502, [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 503, [ ~( halfadder( X ) ), connection( in2( X ), in2( or1( X ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 504, [ ~( halfadder( X ) ), connection( in1( X ), in1( and2( X )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 505, [ ~( halfadder( X ) ), connection( in2( X ), in2( and2( X )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 506, [ ~( halfadder( X ) ), connection( outs( X ), out1( and1( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 507, [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 508, [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1(
% 0.72/1.08 and1( X ) ) ) ] )
% 0.72/1.08 , clause( 509, [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1(
% 0.72/1.08 not1( X ) ) ) ] )
% 0.72/1.08 , clause( 510, [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2(
% 0.72/1.08 and1( X ) ) ) ] )
% 0.72/1.08 , clause( 511, [ ~( fulladder( X ) ), halfadder( h1( X ) ) ] )
% 0.72/1.08 , clause( 512, [ ~( fulladder( X ) ), halfadder( h2( X ) ) ] )
% 0.72/1.08 , clause( 513, [ ~( fulladder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.72/1.08 , clause( 514, [ ~( fulladder( X ) ), connection( outs( h1( X ) ), in2( h2(
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , clause( 515, [ ~( fulladder( X ) ), connection( outc( h1( X ) ), in2( or1(
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , clause( 516, [ ~( fulladder( X ) ), connection( outc( h2( X ) ), in1( or1(
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , clause( 517, [ ~( fulladder( X ) ), connection( in1( X ), in1( h2( X ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 518, [ ~( fulladder( X ) ), connection( in2( X ), in1( h1( X ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 519, [ ~( fulladder( X ) ), connection( inc( X ), in2( h1( X ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 520, [ ~( fulladder( X ) ), connection( outs( X ), outs( h2( X )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 521, [ ~( fulladder( X ) ), connection( outc( X ), out1( or1( X )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 522, [ ~( 'nbit_adder2'( X ) ), fulladder( f1( X ) ) ] )
% 0.72/1.08 , clause( 523, [ ~( 'nbit_adder2'( X ) ), fulladder( f2( X ) ) ] )
% 0.72/1.08 , clause( 524, [ ~( 'nbit_adder2'( X ) ), connection( out1( X ), out1( f1(
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , clause( 525, [ ~( 'nbit_adder2'( X ) ), connection( out2( X ), out1( f2(
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , clause( 526, [ ~( 'nbit_adder2'( X ) ), connection( outc( X ), outc( f2(
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , clause( 527, [ ~( 'nbit_adder2'( X ) ), connection( ina1( X ), in1( f1( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 528, [ ~( 'nbit_adder2'( X ) ), connection( inb1( X ), in2( f1( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 529, [ ~( 'nbit_adder2'( X ) ), connection( ina2( X ), in1( f2( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 530, [ ~( 'nbit_adder2'( X ) ), connection( inb2( X ), in2( f2( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 531, [ ~( 'nbit_adder2'( X ) ), connection( outc( f1( X ) ), inc(
% 0.72/1.08 f2( X ) ) ) ] )
% 0.72/1.08 , clause( 532, [ ~( 'nbit_adder2'( X ) ), connection( inc( X ), inc( f1( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 533, [ 'nbit_adder2'( a ) ] )
% 0.72/1.08 , clause( 534, [ zero( ina1( a ) ) ] )
% 0.72/1.08 , clause( 535, [ zero( ina2( a ) ) ] )
% 0.72/1.08 , clause( 536, [ zero( inb1( a ) ) ] )
% 0.72/1.08 , clause( 537, [ zero( inb2( a ) ) ] )
% 0.72/1.08 , clause( 538, [ zero( inc( a ) ) ] )
% 0.72/1.08 , clause( 539, [ zero( out1( a ) ) ] )
% 0.72/1.08 , clause( 540, [ zero( out2( a ) ) ] )
% 0.72/1.08 , clause( 541, [ one( outc( a ) ) ] )
% 0.72/1.08 , clause( 542, [ ~( abnormal( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 543, [ ~( abnormal( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.08 , clause( 544, [ ~( abnormal( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.08 ] ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , clause( 471, [ ~( connection( X, Y ) ), ~( zero( X ) ), zero( Y ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.72/1.08 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , clause( 472, [ ~( connection( X, Y ) ), ~( one( X ) ), one( Y ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.72/1.08 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 2, [ ~( zero( Y ) ), zero( X ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , clause( 473, [ ~( connection( X, Y ) ), ~( zero( Y ) ), zero( X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.72/1.08 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , clause( 474, [ ~( connection( X, Y ) ), ~( one( Y ) ), one( X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.72/1.08 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 4, [ ~( one( X ) ), ~( zero( X ) ) ] )
% 0.72/1.08 , clause( 475, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 5, [ ~( 'and_ok'( X ) ), zero( out1( X ) ), ~( zero( in1( X ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 476, [ ~( 'and_ok'( X ) ), ~( zero( in1( X ) ) ), zero( out1( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.08 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.72/1.08 , clause( 483, [ ~( 'logic_and'( X ) ), 'and_ok'( X ), abnormal( X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.08 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 16, [ ~( 'or_ok'( X ) ), one( in1( X ) ), one( in2( X ) ), ~( one(
% 0.72/1.08 out1( X ) ) ) ] )
% 0.72/1.08 , clause( 487, [ ~( 'or_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) )
% 0.72/1.08 , one( in2( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.08 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 20, [ 'or_ok'( X ), abnormal( X ), ~( 'logic_or'( X ) ) ] )
% 0.72/1.08 , clause( 491, [ ~( 'logic_or'( X ) ), 'or_ok'( X ), abnormal( X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.08 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 28, [ 'logic_and'( and2( X ) ), ~( halfadder( X ) ) ] )
% 0.72/1.08 , clause( 499, [ ~( halfadder( X ) ), 'logic_and'( and2( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 33, [ connection( in1( X ), in1( and2( X ) ) ), ~( halfadder( X ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 504, [ ~( halfadder( X ) ), connection( in1( X ), in1( and2( X )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 36, [ connection( outc( X ), out1( and2( X ) ) ), ~( halfadder( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 507, [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 40, [ halfadder( h1( X ) ), ~( fulladder( X ) ) ] )
% 0.72/1.08 , clause( 511, [ ~( fulladder( X ) ), halfadder( h1( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 41, [ halfadder( h2( X ) ), ~( fulladder( X ) ) ] )
% 0.72/1.08 , clause( 512, [ ~( fulladder( X ) ), halfadder( h2( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 42, [ 'logic_or'( or1( X ) ), ~( fulladder( X ) ) ] )
% 0.72/1.08 , clause( 513, [ ~( fulladder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 44, [ connection( outc( h1( X ) ), in2( or1( X ) ) ), ~( fulladder(
% 0.72/1.08 X ) ) ] )
% 0.72/1.08 , clause( 515, [ ~( fulladder( X ) ), connection( outc( h1( X ) ), in2( or1(
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 45, [ connection( outc( h2( X ) ), in1( or1( X ) ) ), ~( fulladder(
% 0.72/1.08 X ) ) ] )
% 0.72/1.08 , clause( 516, [ ~( fulladder( X ) ), connection( outc( h2( X ) ), in1( or1(
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 46, [ connection( in1( X ), in1( h2( X ) ) ), ~( fulladder( X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 517, [ ~( fulladder( X ) ), connection( in1( X ), in1( h2( X ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 47, [ connection( in2( X ), in1( h1( X ) ) ), ~( fulladder( X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 518, [ ~( fulladder( X ) ), connection( in2( X ), in1( h1( X ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 50, [ connection( outc( X ), out1( or1( X ) ) ), ~( fulladder( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 521, [ ~( fulladder( X ) ), connection( outc( X ), out1( or1( X )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 52, [ fulladder( f2( X ) ), ~( 'nbit_adder2'( X ) ) ] )
% 0.72/1.08 , clause( 523, [ ~( 'nbit_adder2'( X ) ), fulladder( f2( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 55, [ connection( outc( X ), outc( f2( X ) ) ), ~( 'nbit_adder2'( X
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 526, [ ~( 'nbit_adder2'( X ) ), connection( outc( X ), outc( f2(
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 58, [ connection( ina2( X ), in1( f2( X ) ) ), ~( 'nbit_adder2'( X
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 529, [ ~( 'nbit_adder2'( X ) ), connection( ina2( X ), in1( f2( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 59, [ connection( inb2( X ), in2( f2( X ) ) ), ~( 'nbit_adder2'( X
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 530, [ ~( 'nbit_adder2'( X ) ), connection( inb2( X ), in2( f2( X
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 62, [ 'nbit_adder2'( a ) ] )
% 0.72/1.08 , clause( 533, [ 'nbit_adder2'( a ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 64, [ zero( ina2( a ) ) ] )
% 0.72/1.08 , clause( 535, [ zero( ina2( a ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 66, [ zero( inb2( a ) ) ] )
% 0.72/1.08 , clause( 537, [ zero( inb2( a ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 70, [ one( outc( a ) ) ] )
% 0.72/1.08 , clause( 541, [ one( outc( a ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 71, [ ~( abnormal( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 542, [ ~( abnormal( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 72, [ ~( abnormal( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.08 , clause( 543, [ ~( abnormal( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 73, [ ~( abnormal( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.08 , clause( 544, [ ~( abnormal( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 545, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , clause( 52, [ fulladder( f2( X ) ), ~( 'nbit_adder2'( X ) ) ] )
% 0.72/1.08 , 1, clause( 62, [ 'nbit_adder2'( a ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , clause( 545, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 546, [ 'logic_or'( or1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 42, [ 'logic_or'( or1( X ) ), ~( fulladder( X ) ) ] )
% 0.72/1.08 , 1, clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, f2( a ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 84, [ 'logic_or'( or1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 546, [ 'logic_or'( or1( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 547, [ halfadder( h2( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 41, [ halfadder( h2( X ) ), ~( fulladder( X ) ) ] )
% 0.72/1.08 , 1, clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, f2( a ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 86, [ halfadder( h2( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 547, [ halfadder( h2( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 548, [ halfadder( h1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 40, [ halfadder( h1( X ) ), ~( fulladder( X ) ) ] )
% 0.72/1.08 , 1, clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, f2( a ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 88, [ halfadder( h1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 548, [ halfadder( h1( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 549, [ 'logic_and'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 28, [ 'logic_and'( and2( X ) ), ~( halfadder( X ) ) ] )
% 0.72/1.08 , 1, clause( 88, [ halfadder( h1( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, h1( f2( a ) ) )] ), substitution( 1, [] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 98, [ 'logic_and'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 549, [ 'logic_and'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 550, [ 'logic_and'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 28, [ 'logic_and'( and2( X ) ), ~( halfadder( X ) ) ] )
% 0.72/1.08 , 1, clause( 86, [ halfadder( h2( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, h2( f2( a ) ) )] ), substitution( 1, [] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 100, [ 'logic_and'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 550, [ 'logic_and'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 551, [ 'and_ok'( and2( h1( f2( a ) ) ) ), abnormal( and2( h1( f2( a
% 0.72/1.08 ) ) ) ) ] )
% 0.72/1.08 , clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.72/1.08 , 2, clause( 98, [ 'logic_and'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, and2( h1( f2( a ) ) ) )] ), substitution( 1
% 0.72/1.08 , [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 552, [ 'and_ok'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 72, [ ~( abnormal( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.08 , 0, clause( 551, [ 'and_ok'( and2( h1( f2( a ) ) ) ), abnormal( and2( h1(
% 0.72/1.08 f2( a ) ) ) ) ] )
% 0.72/1.08 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 102, [ 'and_ok'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 552, [ 'and_ok'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 553, [ 'and_ok'( and2( h2( f2( a ) ) ) ), abnormal( and2( h2( f2( a
% 0.72/1.08 ) ) ) ) ] )
% 0.72/1.08 , clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.72/1.08 , 2, clause( 100, [ 'logic_and'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, and2( h2( f2( a ) ) ) )] ), substitution( 1
% 0.72/1.08 , [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 554, [ 'and_ok'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 73, [ ~( abnormal( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.08 , 0, clause( 553, [ 'and_ok'( and2( h2( f2( a ) ) ) ), abnormal( and2( h2(
% 0.72/1.08 f2( a ) ) ) ) ] )
% 0.72/1.08 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 104, [ 'and_ok'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 554, [ 'and_ok'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 555, [ 'or_ok'( or1( f2( a ) ) ), abnormal( or1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 20, [ 'or_ok'( X ), abnormal( X ), ~( 'logic_or'( X ) ) ] )
% 0.72/1.08 , 2, clause( 84, [ 'logic_or'( or1( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, or1( f2( a ) ) )] ), substitution( 1, [] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 556, [ 'or_ok'( or1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 71, [ ~( abnormal( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , 0, clause( 555, [ 'or_ok'( or1( f2( a ) ) ), abnormal( or1( f2( a ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 122, [ 'or_ok'( or1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 556, [ 'or_ok'( or1( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 557, [ connection( inb2( a ), in2( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 59, [ connection( inb2( X ), in2( f2( X ) ) ), ~( 'nbit_adder2'(
% 0.72/1.08 X ) ) ] )
% 0.72/1.08 , 1, clause( 62, [ 'nbit_adder2'( a ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 128, [ connection( inb2( a ), in2( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 557, [ connection( inb2( a ), in2( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 558, [ ~( zero( inb2( a ) ) ), zero( in2( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 128, [ connection( inb2( a ), in2( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, inb2( a ) ), :=( Y, in2( f2( a ) ) )] ),
% 0.72/1.08 substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 559, [ zero( in2( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 558, [ ~( zero( inb2( a ) ) ), zero( in2( f2( a ) ) ) ] )
% 0.72/1.08 , 0, clause( 66, [ zero( inb2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 131, [ zero( in2( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 559, [ zero( in2( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 560, [ connection( ina2( a ), in1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 58, [ connection( ina2( X ), in1( f2( X ) ) ), ~( 'nbit_adder2'(
% 0.72/1.08 X ) ) ] )
% 0.72/1.08 , 1, clause( 62, [ 'nbit_adder2'( a ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 133, [ connection( ina2( a ), in1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 560, [ connection( ina2( a ), in1( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 561, [ ~( zero( ina2( a ) ) ), zero( in1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 133, [ connection( ina2( a ), in1( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, ina2( a ) ), :=( Y, in1( f2( a ) ) )] ),
% 0.72/1.08 substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 562, [ zero( in1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 561, [ ~( zero( ina2( a ) ) ), zero( in1( f2( a ) ) ) ] )
% 0.72/1.08 , 0, clause( 64, [ zero( ina2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 135, [ zero( in1( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 562, [ zero( in1( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 563, [ connection( outc( a ), outc( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 55, [ connection( outc( X ), outc( f2( X ) ) ), ~( 'nbit_adder2'(
% 0.72/1.08 X ) ) ] )
% 0.72/1.08 , 1, clause( 62, [ 'nbit_adder2'( a ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 152, [ connection( outc( a ), outc( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 563, [ connection( outc( a ), outc( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 564, [ ~( one( outc( a ) ) ), one( outc( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 152, [ connection( outc( a ), outc( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, outc( a ) ), :=( Y, outc( f2( a ) ) )] ),
% 0.72/1.08 substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 565, [ one( outc( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 564, [ ~( one( outc( a ) ) ), one( outc( f2( a ) ) ) ] )
% 0.72/1.08 , 0, clause( 70, [ one( outc( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 158, [ one( outc( f2( a ) ) ) ] )
% 0.72/1.08 , clause( 565, [ one( outc( f2( a ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 566, [ connection( in1( h1( f2( a ) ) ), in1( and2( h1( f2( a ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 33, [ connection( in1( X ), in1( and2( X ) ) ), ~( halfadder( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 1, clause( 88, [ halfadder( h1( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, h1( f2( a ) ) )] ), substitution( 1, [] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 160, [ connection( in1( h1( f2( a ) ) ), in1( and2( h1( f2( a ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 566, [ connection( in1( h1( f2( a ) ) ), in1( and2( h1( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 567, [ connection( in1( h2( f2( a ) ) ), in1( and2( h2( f2( a ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 33, [ connection( in1( X ), in1( and2( X ) ) ), ~( halfadder( X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 1, clause( 86, [ halfadder( h2( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, h2( f2( a ) ) )] ), substitution( 1, [] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 162, [ connection( in1( h2( f2( a ) ) ), in1( and2( h2( f2( a ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 567, [ connection( in1( h2( f2( a ) ) ), in1( and2( h2( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 568, [ connection( outc( f2( a ) ), out1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 50, [ connection( outc( X ), out1( or1( X ) ) ), ~( fulladder( X
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , 1, clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, f2( a ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 181, [ connection( outc( f2( a ) ), out1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 568, [ connection( outc( f2( a ) ), out1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 569, [ connection( outc( h1( f2( a ) ) ), out1( and2( h1( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 36, [ connection( outc( X ), out1( and2( X ) ) ), ~( halfadder( X
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , 1, clause( 88, [ halfadder( h1( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, h1( f2( a ) ) )] ), substitution( 1, [] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 186, [ connection( outc( h1( f2( a ) ) ), out1( and2( h1( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 569, [ connection( outc( h1( f2( a ) ) ), out1( and2( h1( f2( a )
% 0.72/1.08 ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 570, [ connection( outc( h2( f2( a ) ) ), out1( and2( h2( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 36, [ connection( outc( X ), out1( and2( X ) ) ), ~( halfadder( X
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , 1, clause( 86, [ halfadder( h2( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, h2( f2( a ) ) )] ), substitution( 1, [] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 188, [ connection( outc( h2( f2( a ) ) ), out1( and2( h2( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 570, [ connection( outc( h2( f2( a ) ) ), out1( and2( h2( f2( a )
% 0.72/1.08 ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 571, [ ~( one( outc( f2( a ) ) ) ), one( out1( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 1, [ ~( one( X ) ), one( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 181, [ connection( outc( f2( a ) ), out1( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, outc( f2( a ) ) ), :=( Y, out1( or1( f2( a )
% 0.72/1.08 ) ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 572, [ one( out1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 571, [ ~( one( outc( f2( a ) ) ) ), one( out1( or1( f2( a ) ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 0, clause( 158, [ one( outc( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 191, [ one( out1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 572, [ one( out1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 573, [ ~( 'or_ok'( or1( f2( a ) ) ) ), one( in1( or1( f2( a ) ) ) )
% 0.72/1.08 , one( in2( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 16, [ ~( 'or_ok'( X ) ), one( in1( X ) ), one( in2( X ) ), ~( one(
% 0.72/1.08 out1( X ) ) ) ] )
% 0.72/1.08 , 3, clause( 191, [ one( out1( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, or1( f2( a ) ) )] ), substitution( 1, [] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 574, [ one( in1( or1( f2( a ) ) ) ), one( in2( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 573, [ ~( 'or_ok'( or1( f2( a ) ) ) ), one( in1( or1( f2( a ) ) )
% 0.72/1.08 ), one( in2( or1( f2( a ) ) ) ) ] )
% 0.72/1.08 , 0, clause( 122, [ 'or_ok'( or1( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 194, [ one( in1( or1( f2( a ) ) ) ), one( in2( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 574, [ one( in1( or1( f2( a ) ) ) ), one( in2( or1( f2( a ) ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 575, [ connection( in2( f2( a ) ), in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 47, [ connection( in2( X ), in1( h1( X ) ) ), ~( fulladder( X ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 1, clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, f2( a ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 225, [ connection( in2( f2( a ) ), in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 575, [ connection( in2( f2( a ) ), in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 576, [ ~( zero( in2( f2( a ) ) ) ), zero( in1( h1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 225, [ connection( in2( f2( a ) ), in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, in2( f2( a ) ) ), :=( Y, in1( h1( f2( a ) )
% 0.72/1.08 ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 577, [ zero( in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 576, [ ~( zero( in2( f2( a ) ) ) ), zero( in1( h1( f2( a ) ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 0, clause( 131, [ zero( in2( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 235, [ zero( in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 577, [ zero( in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 578, [ connection( in1( f2( a ) ), in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 46, [ connection( in1( X ), in1( h2( X ) ) ), ~( fulladder( X ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 1, clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, f2( a ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 242, [ connection( in1( f2( a ) ), in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 578, [ connection( in1( f2( a ) ), in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 579, [ connection( outc( h1( f2( a ) ) ), in2( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 44, [ connection( outc( h1( X ) ), in2( or1( X ) ) ), ~(
% 0.72/1.08 fulladder( X ) ) ] )
% 0.72/1.08 , 1, clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, f2( a ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 249, [ connection( outc( h1( f2( a ) ) ), in2( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 579, [ connection( outc( h1( f2( a ) ) ), in2( or1( f2( a ) ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 580, [ ~( zero( in1( f2( a ) ) ) ), zero( in1( h2( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 242, [ connection( in1( f2( a ) ), in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, in1( f2( a ) ) ), :=( Y, in1( h2( f2( a ) )
% 0.72/1.08 ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 581, [ zero( in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 580, [ ~( zero( in1( f2( a ) ) ) ), zero( in1( h2( f2( a ) ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 0, clause( 135, [ zero( in1( f2( a ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 251, [ zero( in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 581, [ zero( in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 582, [ connection( outc( h2( f2( a ) ) ), in1( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 45, [ connection( outc( h2( X ) ), in1( or1( X ) ) ), ~(
% 0.72/1.08 fulladder( X ) ) ] )
% 0.72/1.08 , 1, clause( 81, [ fulladder( f2( a ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, f2( a ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 256, [ connection( outc( h2( f2( a ) ) ), in1( or1( f2( a ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 582, [ connection( outc( h2( f2( a ) ) ), in1( or1( f2( a ) ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 583, [ ~( one( in1( or1( f2( a ) ) ) ) ), one( outc( h2( f2( a ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 256, [ connection( outc( h2( f2( a ) ) ), in1( or1( f2( a ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, outc( h2( f2( a ) ) ) ), :=( Y, in1( or1( f2(
% 0.72/1.08 a ) ) ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 261, [ one( outc( h2( f2( a ) ) ) ), ~( one( in1( or1( f2( a ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 583, [ ~( one( in1( or1( f2( a ) ) ) ) ), one( outc( h2( f2( a )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 584, [ ~( zero( outc( h1( f2( a ) ) ) ) ), zero( in2( or1( f2( a )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 249, [ connection( outc( h1( f2( a ) ) ), in2( or1( f2( a ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, outc( h1( f2( a ) ) ) ), :=( Y, in2( or1( f2(
% 0.72/1.08 a ) ) ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 272, [ zero( in2( or1( f2( a ) ) ) ), ~( zero( outc( h1( f2( a ) )
% 0.72/1.08 ) ) ) ] )
% 0.72/1.08 , clause( 584, [ ~( zero( outc( h1( f2( a ) ) ) ) ), zero( in2( or1( f2( a
% 0.72/1.08 ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 585, [ ~( zero( out1( and2( h1( f2( a ) ) ) ) ) ), zero( outc( h1(
% 0.72/1.08 f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 2, [ ~( zero( Y ) ), zero( X ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 186, [ connection( outc( h1( f2( a ) ) ), out1( and2( h1( f2(
% 0.72/1.08 a ) ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, outc( h1( f2( a ) ) ) ), :=( Y, out1( and2(
% 0.72/1.08 h1( f2( a ) ) ) ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 303, [ zero( outc( h1( f2( a ) ) ) ), ~( zero( out1( and2( h1( f2(
% 0.72/1.08 a ) ) ) ) ) ) ] )
% 0.72/1.08 , clause( 585, [ ~( zero( out1( and2( h1( f2( a ) ) ) ) ) ), zero( outc( h1(
% 0.72/1.08 f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 586, [ ~( zero( out1( and2( h2( f2( a ) ) ) ) ) ), zero( outc( h2(
% 0.72/1.08 f2( a ) ) ) ) ] )
% 0.72/1.08 , clause( 2, [ ~( zero( Y ) ), zero( X ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 188, [ connection( outc( h2( f2( a ) ) ), out1( and2( h2( f2(
% 0.72/1.08 a ) ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, outc( h2( f2( a ) ) ) ), :=( Y, out1( and2(
% 0.72/1.08 h2( f2( a ) ) ) ) )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 316, [ zero( outc( h2( f2( a ) ) ) ), ~( zero( out1( and2( h2( f2(
% 0.72/1.08 a ) ) ) ) ) ) ] )
% 0.72/1.08 , clause( 586, [ ~( zero( out1( and2( h2( f2( a ) ) ) ) ) ), zero( outc( h2(
% 0.72/1.08 f2( a ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 587, [ ~( zero( in1( h1( f2( a ) ) ) ) ), zero( in1( and2( h1( f2(
% 0.72/1.08 a ) ) ) ) ) ] )
% 0.72/1.08 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.08 , 2, clause( 160, [ connection( in1( h1( f2( a ) ) ), in1( and2( h1( f2( a
% 0.72/1.08 ) ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, in1( h1( f2( a ) ) ) ), :=( Y, in1( and2( h1(
% 0.72/1.09 f2( a ) ) ) ) )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 588, [ zero( in1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 587, [ ~( zero( in1( h1( f2( a ) ) ) ) ), zero( in1( and2( h1( f2(
% 0.72/1.09 a ) ) ) ) ) ] )
% 0.72/1.09 , 0, clause( 235, [ zero( in1( h1( f2( a ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 376, [ zero( in1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 588, [ zero( in1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 589, [ ~( 'and_ok'( and2( h1( f2( a ) ) ) ) ), zero( out1( and2( h1(
% 0.72/1.09 f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 5, [ ~( 'and_ok'( X ) ), zero( out1( X ) ), ~( zero( in1( X ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 2, clause( 376, [ zero( in1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, and2( h1( f2( a ) ) ) )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 590, [ zero( out1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 589, [ ~( 'and_ok'( and2( h1( f2( a ) ) ) ) ), zero( out1( and2(
% 0.72/1.09 h1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , 0, clause( 102, [ 'and_ok'( and2( h1( f2( a ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 379, [ zero( out1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 590, [ zero( out1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 591, [ ~( zero( in1( h2( f2( a ) ) ) ) ), zero( in1( and2( h2( f2(
% 0.72/1.09 a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.72/1.09 , 2, clause( 162, [ connection( in1( h2( f2( a ) ) ), in1( and2( h2( f2( a
% 0.72/1.09 ) ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, in1( h2( f2( a ) ) ) ), :=( Y, in1( and2( h2(
% 0.72/1.09 f2( a ) ) ) ) )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 592, [ zero( in1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 591, [ ~( zero( in1( h2( f2( a ) ) ) ) ), zero( in1( and2( h2( f2(
% 0.72/1.09 a ) ) ) ) ) ] )
% 0.72/1.09 , 0, clause( 251, [ zero( in1( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 396, [ zero( in1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 592, [ zero( in1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 593, [ ~( 'and_ok'( and2( h2( f2( a ) ) ) ) ), zero( out1( and2( h2(
% 0.72/1.09 f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 5, [ ~( 'and_ok'( X ) ), zero( out1( X ) ), ~( zero( in1( X ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 2, clause( 396, [ zero( in1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, and2( h2( f2( a ) ) ) )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 594, [ zero( out1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 593, [ ~( 'and_ok'( and2( h2( f2( a ) ) ) ) ), zero( out1( and2(
% 0.72/1.09 h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , 0, clause( 104, [ 'and_ok'( and2( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 404, [ zero( out1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 594, [ zero( out1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 595, [ zero( outc( h1( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 303, [ zero( outc( h1( f2( a ) ) ) ), ~( zero( out1( and2( h1( f2(
% 0.72/1.09 a ) ) ) ) ) ) ] )
% 0.72/1.09 , 1, clause( 379, [ zero( out1( and2( h1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 459, [ zero( outc( h1( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 595, [ zero( outc( h1( f2( a ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 596, [ zero( in2( or1( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 272, [ zero( in2( or1( f2( a ) ) ) ), ~( zero( outc( h1( f2( a )
% 0.72/1.09 ) ) ) ) ] )
% 0.72/1.09 , 1, clause( 459, [ zero( outc( h1( f2( a ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 460, [ zero( in2( or1( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 596, [ zero( in2( or1( f2( a ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 597, [ ~( one( in2( or1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 4, [ ~( one( X ) ), ~( zero( X ) ) ] )
% 0.72/1.09 , 1, clause( 460, [ zero( in2( or1( f2( a ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, in2( or1( f2( a ) ) ) )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 463, [ ~( one( in2( or1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 597, [ ~( one( in2( or1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 598, [ one( in1( or1( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 463, [ ~( one( in2( or1( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , 0, clause( 194, [ one( in1( or1( f2( a ) ) ) ), one( in2( or1( f2( a ) )
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 464, [ one( in1( or1( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 598, [ one( in1( or1( f2( a ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 599, [ one( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 261, [ one( outc( h2( f2( a ) ) ) ), ~( one( in1( or1( f2( a ) )
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 , 1, clause( 464, [ one( in1( or1( f2( a ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 465, [ one( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 599, [ one( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 600, [ zero( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 316, [ zero( outc( h2( f2( a ) ) ) ), ~( zero( out1( and2( h2( f2(
% 0.72/1.09 a ) ) ) ) ) ) ] )
% 0.72/1.09 , 1, clause( 404, [ zero( out1( and2( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 467, [ zero( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , clause( 600, [ zero( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 601, [ ~( one( outc( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , clause( 4, [ ~( one( X ) ), ~( zero( X ) ) ] )
% 0.72/1.09 , 1, clause( 467, [ zero( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, outc( h2( f2( a ) ) ) )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 602, [] )
% 0.72/1.09 , clause( 601, [ ~( one( outc( h2( f2( a ) ) ) ) ) ] )
% 0.72/1.09 , 0, clause( 465, [ one( outc( h2( f2( a ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 469, [] )
% 0.72/1.09 , clause( 602, [] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 end.
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 Memory use:
% 0.72/1.09
% 0.72/1.09 space for terms: 6062
% 0.72/1.09 space for clauses: 29412
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 clauses generated: 572
% 0.72/1.09 clauses kept: 470
% 0.72/1.09 clauses selected: 399
% 0.72/1.09 clauses deleted: 8
% 0.72/1.09 clauses inuse deleted: 0
% 0.72/1.09
% 0.72/1.09 subsentry: 116
% 0.72/1.09 literals s-matched: 110
% 0.72/1.09 literals matched: 110
% 0.72/1.09 full subsumption: 0
% 0.72/1.09
% 0.72/1.09 checksum: 37715179
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksem ended
%------------------------------------------------------------------------------