TSTP Solution File: HWV005-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HWV005-2 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 13:11:35 EDT 2022
% Result : Unsatisfiable 0.43s 1.06s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HWV005-2 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.04/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jun 17 08:08:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.06 *** allocated 10000 integers for termspace/termends
% 0.43/1.06 *** allocated 10000 integers for clauses
% 0.43/1.06 *** allocated 10000 integers for justifications
% 0.43/1.06 Bliksem 1.12
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Automatic Strategy Selection
% 0.43/1.06
% 0.43/1.06 Clauses:
% 0.43/1.06 [
% 0.43/1.06 [ ~( connection( X, Y ) ), ~( zero( X ) ), zero( Y ) ],
% 0.43/1.06 [ ~( connection( X, Y ) ), ~( one( X ) ), one( Y ) ],
% 0.43/1.06 [ ~( connection( X, Y ) ), ~( zero( Y ) ), zero( X ) ],
% 0.43/1.06 [ ~( connection( X, Y ) ), ~( one( Y ) ), one( X ) ],
% 0.43/1.06 [ ~( zero( X ) ), ~( one( X ) ) ],
% 0.43/1.06 [ ~( 'and_ok'( X ) ), ~( zero( in1( X ) ) ), zero( out1( X ) ) ],
% 0.43/1.06 [ ~( 'and_ok'( X ) ), ~( zero( in2( X ) ) ), zero( out1( X ) ) ],
% 0.43/1.06 [ ~( 'and_ok'( X ) ), ~( one( in1( X ) ) ), ~( one( in2( X ) ) ), one(
% 0.43/1.06 out1( X ) ) ],
% 0.43/1.06 [ ~( 'and_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X ) ), zero(
% 0.43/1.06 in2( X ) ) ],
% 0.43/1.06 [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) ) ],
% 0.43/1.06 [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in2( X ) ) ],
% 0.43/1.06 [ ~( 'and_ok'( X ) ), ~( abnormal( X ) ) ],
% 0.43/1.06 [ ~( 'logic_and'( X ) ), 'and_ok'( X ), abnormal( X ) ],
% 0.43/1.06 [ ~( 'or_ok'( X ) ), ~( one( in1( X ) ) ), one( out1( X ) ) ],
% 0.43/1.06 [ ~( 'or_ok'( X ) ), ~( one( in2( X ) ) ), one( out1( X ) ) ],
% 0.43/1.06 [ ~( 'or_ok'( X ) ), ~( zero( in1( X ) ) ), ~( zero( in2( X ) ) ), zero(
% 0.43/1.06 out1( X ) ) ],
% 0.43/1.06 [ ~( 'or_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) ), one( in2( X
% 0.43/1.06 ) ) ],
% 0.43/1.06 [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X ) ) ],
% 0.43/1.06 [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in2( X ) ) ],
% 0.43/1.06 [ ~( 'or_ok'( X ) ), ~( abnormal( X ) ) ],
% 0.43/1.06 [ ~( 'logic_or'( X ) ), 'or_ok'( X ), abnormal( X ) ],
% 0.43/1.06 [ ~( 'not_ok'( X ) ), ~( zero( in1( X ) ) ), one( out1( X ) ) ],
% 0.43/1.06 [ ~( 'not_ok'( X ) ), ~( one( in1( X ) ) ), zero( out1( X ) ) ],
% 0.43/1.06 [ ~( 'not_ok'( X ) ), ~( zero( out1( X ) ) ), one( in1( X ) ) ],
% 0.43/1.06 [ ~( 'not_ok'( X ) ), ~( one( out1( X ) ) ), zero( in1( X ) ) ],
% 0.43/1.06 [ ~( 'not_ok'( X ) ), ~( abnormal( X ) ) ],
% 0.43/1.06 [ ~( 'logic_not'( X ) ), 'not_ok'( X ), abnormal( X ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), 'logic_and'( and2( X ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X ) ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), connection( in2( X ), in2( or1( X ) ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), connection( in1( X ), in1( and2( X ) ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), connection( in2( X ), in2( and2( X ) ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), connection( outs( X ), out1( and1( X ) ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X ) ) ) ],
% 0.43/1.06 [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1( and1( X ) ) )
% 0.43/1.06 ],
% 0.43/1.06 [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1( not1( X ) ) )
% 0.43/1.06 ],
% 0.43/1.06 [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2( and1( X ) ) )
% 0.43/1.06 ],
% 0.43/1.06 [ halfadder( h ) ],
% 0.43/1.06 [ one( in1( h ) ) ],
% 0.43/1.06 [ zero( in2( h ) ) ],
% 0.43/1.06 [ zero( outs( h ) ) ],
% 0.43/1.06 [ zero( outc( h ) ) ],
% 0.43/1.06 [ ~( abnormal( and1( h ) ) ) ],
% 0.43/1.06 [ ~( abnormal( not1( h ) ) ) ],
% 0.43/1.06 [ ~( abnormal( or1( h ) ) ) ]
% 0.43/1.06 ] .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 percentage equality = 0.000000, percentage horn = 0.895833
% 0.43/1.06 This a non-horn, non-equality problem
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Options Used:
% 0.43/1.06
% 0.43/1.06 useres = 1
% 0.43/1.06 useparamod = 0
% 0.43/1.06 useeqrefl = 0
% 0.43/1.06 useeqfact = 0
% 0.43/1.06 usefactor = 1
% 0.43/1.06 usesimpsplitting = 0
% 0.43/1.06 usesimpdemod = 0
% 0.43/1.06 usesimpres = 3
% 0.43/1.06
% 0.43/1.06 resimpinuse = 1000
% 0.43/1.06 resimpclauses = 20000
% 0.43/1.06 substype = standard
% 0.43/1.06 backwardsubs = 1
% 0.43/1.06 selectoldest = 5
% 0.43/1.06
% 0.43/1.06 litorderings [0] = split
% 0.43/1.06 litorderings [1] = liftord
% 0.43/1.06
% 0.43/1.06 termordering = none
% 0.43/1.06
% 0.43/1.06 litapriori = 1
% 0.43/1.06 termapriori = 0
% 0.43/1.06 litaposteriori = 0
% 0.43/1.06 termaposteriori = 0
% 0.43/1.06 demodaposteriori = 0
% 0.43/1.06 ordereqreflfact = 0
% 0.43/1.06
% 0.43/1.06 litselect = none
% 0.43/1.06
% 0.43/1.06 maxweight = 15
% 0.43/1.06 maxdepth = 30000
% 0.43/1.06 maxlength = 115
% 0.43/1.06 maxnrvars = 195
% 0.43/1.06 excuselevel = 1
% 0.43/1.06 increasemaxweight = 1
% 0.43/1.06
% 0.43/1.06 maxselected = 10000000
% 0.43/1.06 maxnrclauses = 10000000
% 0.43/1.06
% 0.43/1.06 showgenerated = 0
% 0.43/1.06 showkept = 0
% 0.43/1.06 showselected = 0
% 0.43/1.06 showdeleted = 0
% 0.43/1.06 showresimp = 1
% 0.43/1.06 showstatus = 2000
% 0.43/1.06
% 0.43/1.06 prologoutput = 1
% 0.43/1.06 nrgoals = 5000000
% 0.43/1.06 totalproof = 1
% 0.43/1.06
% 0.43/1.06 Symbols occurring in the translation:
% 0.43/1.06
% 0.43/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.06 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 0.43/1.06 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.43/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 connection [41, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.43/1.06 zero [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.06 one [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.06 'and_ok' [46, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.43/1.06 in1 [47, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.06 out1 [48, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.06 in2 [49, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.06 abnormal [50, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.43/1.06 'logic_and' [51, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.43/1.06 'or_ok' [52, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.43/1.06 'logic_or' [53, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.43/1.06 'not_ok' [54, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.06 'logic_not' [55, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.43/1.06 halfadder [57, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.43/1.06 and1 [58, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.43/1.06 and2 [59, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.43/1.06 not1 [60, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.06 or1 [61, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.43/1.06 outs [62, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.43/1.06 outc [63, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.43/1.06 h [64, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Starting Search:
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksems!, er is een bewijs:
% 0.43/1.06 % SZS status Unsatisfiable
% 0.43/1.06 % SZS output start Refutation
% 0.43/1.06
% 0.43/1.06 clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 2, [ ~( zero( Y ) ), zero( X ), ~( connection( X, Y ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 4, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 8, [ ~( zero( out1( X ) ) ), zero( in1( X ) ), zero( in2( X ) ),
% 0.43/1.06 ~( 'and_ok'( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 17, [ ~( zero( out1( X ) ) ), zero( in1( X ) ), ~( 'or_ok'( X ) ) ]
% 0.43/1.06 )
% 0.43/1.06 .
% 0.43/1.06 clause( 20, [ 'or_ok'( X ), abnormal( X ), ~( 'logic_or'( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 23, [ ~( zero( out1( X ) ) ), ~( 'not_ok'( X ) ), one( in1( X ) ) ]
% 0.43/1.06 )
% 0.43/1.06 .
% 0.43/1.06 clause( 26, [ 'not_ok'( X ), abnormal( X ), ~( 'logic_not'( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 27, [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 29, [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 30, [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 31, [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X ) ) )
% 0.43/1.06 ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 35, [ ~( halfadder( X ) ), connection( outs( X ), out1( and1( X ) )
% 0.43/1.06 ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 36, [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X ) )
% 0.43/1.06 ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 37, [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1( and1(
% 0.43/1.06 X ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 38, [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1( not1(
% 0.43/1.06 X ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 39, [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2( and1(
% 0.43/1.06 X ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 40, [ halfadder( h ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 41, [ one( in1( h ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 43, [ zero( outs( h ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 44, [ zero( outc( h ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 45, [ ~( abnormal( and1( h ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 46, [ ~( abnormal( not1( h ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 47, [ ~( abnormal( or1( h ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 48, [ ~( zero( in1( h ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 49, [ 'not_ok'( not1( X ) ), ~( halfadder( X ) ), abnormal( not1( X
% 0.43/1.06 ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 50, [ abnormal( or1( X ) ), ~( halfadder( X ) ), 'or_ok'( or1( X )
% 0.43/1.06 ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 51, [ 'and_ok'( and1( X ) ), ~( halfadder( X ) ), abnormal( and1( X
% 0.43/1.06 ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 54, [ 'and_ok'( and1( h ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 62, [ 'not_ok'( not1( h ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 68, [ zero( in1( and1( h ) ) ), ~( zero( out1( and1( h ) ) ) ),
% 0.43/1.06 zero( in2( and1( h ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 73, [ zero( in1( or1( X ) ) ), ~( zero( out1( or1( X ) ) ) ), ~(
% 0.43/1.06 halfadder( X ) ), abnormal( or1( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 78, [ ~( one( out1( and2( X ) ) ) ), one( outc( X ) ), ~( halfadder(
% 0.43/1.06 X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 85, [ ~( zero( outs( X ) ) ), zero( out1( and1( X ) ) ), ~(
% 0.43/1.06 halfadder( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 99, [ ~( zero( in1( or1( X ) ) ) ), zero( in1( X ) ), ~( halfadder(
% 0.43/1.06 X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 105, [ ~( zero( in1( and1( X ) ) ) ), zero( out1( or1( X ) ) ), ~(
% 0.43/1.06 halfadder( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 109, [ ~( one( in1( not1( X ) ) ) ), one( out1( and2( X ) ) ), ~(
% 0.43/1.06 halfadder( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 114, [ ~( zero( in2( and1( X ) ) ) ), zero( out1( not1( X ) ) ),
% 0.43/1.06 ~( halfadder( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 117, [ ~( zero( in1( or1( h ) ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 139, [ ~( zero( out1( or1( h ) ) ) ), ~( halfadder( h ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 140, [ ~( zero( out1( or1( h ) ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 151, [ zero( out1( and1( h ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 154, [ ~( one( out1( and2( h ) ) ) ), one( outc( h ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 155, [ ~( one( out1( and2( h ) ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 159, [ zero( out1( not1( h ) ) ), ~( zero( in2( and1( h ) ) ) ) ]
% 0.43/1.06 )
% 0.43/1.06 .
% 0.43/1.06 clause( 160, [ zero( in1( and1( h ) ) ), zero( out1( not1( h ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 163, [ ~( zero( in1( and1( h ) ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 169, [ ~( one( in1( not1( h ) ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 170, [ ~( zero( out1( not1( h ) ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 171, [] )
% 0.43/1.06 .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 % SZS output end Refutation
% 0.43/1.06 found a proof!
% 0.43/1.06
% 0.43/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.06
% 0.43/1.06 initialclauses(
% 0.43/1.06 [ clause( 173, [ ~( connection( X, Y ) ), ~( zero( X ) ), zero( Y ) ] )
% 0.43/1.06 , clause( 174, [ ~( connection( X, Y ) ), ~( one( X ) ), one( Y ) ] )
% 0.43/1.06 , clause( 175, [ ~( connection( X, Y ) ), ~( zero( Y ) ), zero( X ) ] )
% 0.43/1.06 , clause( 176, [ ~( connection( X, Y ) ), ~( one( Y ) ), one( X ) ] )
% 0.43/1.06 , clause( 177, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.43/1.06 , clause( 178, [ ~( 'and_ok'( X ) ), ~( zero( in1( X ) ) ), zero( out1( X )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 179, [ ~( 'and_ok'( X ) ), ~( zero( in2( X ) ) ), zero( out1( X )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 180, [ ~( 'and_ok'( X ) ), ~( one( in1( X ) ) ), ~( one( in2( X )
% 0.43/1.06 ) ), one( out1( X ) ) ] )
% 0.43/1.06 , clause( 181, [ ~( 'and_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X )
% 0.43/1.06 ), zero( in2( X ) ) ] )
% 0.43/1.06 , clause( 182, [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) )
% 0.43/1.06 ] )
% 0.43/1.06 , clause( 183, [ ~( 'and_ok'( X ) ), ~( one( out1( X ) ) ), one( in2( X ) )
% 0.43/1.06 ] )
% 0.43/1.06 , clause( 184, [ ~( 'and_ok'( X ) ), ~( abnormal( X ) ) ] )
% 0.43/1.06 , clause( 185, [ ~( 'logic_and'( X ) ), 'and_ok'( X ), abnormal( X ) ] )
% 0.43/1.06 , clause( 186, [ ~( 'or_ok'( X ) ), ~( one( in1( X ) ) ), one( out1( X ) )
% 0.43/1.06 ] )
% 0.43/1.06 , clause( 187, [ ~( 'or_ok'( X ) ), ~( one( in2( X ) ) ), one( out1( X ) )
% 0.43/1.06 ] )
% 0.43/1.06 , clause( 188, [ ~( 'or_ok'( X ) ), ~( zero( in1( X ) ) ), ~( zero( in2( X
% 0.43/1.06 ) ) ), zero( out1( X ) ) ] )
% 0.43/1.06 , clause( 189, [ ~( 'or_ok'( X ) ), ~( one( out1( X ) ) ), one( in1( X ) )
% 0.43/1.06 , one( in2( X ) ) ] )
% 0.43/1.06 , clause( 190, [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 191, [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in2( X )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 192, [ ~( 'or_ok'( X ) ), ~( abnormal( X ) ) ] )
% 0.43/1.06 , clause( 193, [ ~( 'logic_or'( X ) ), 'or_ok'( X ), abnormal( X ) ] )
% 0.43/1.06 , clause( 194, [ ~( 'not_ok'( X ) ), ~( zero( in1( X ) ) ), one( out1( X )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 195, [ ~( 'not_ok'( X ) ), ~( one( in1( X ) ) ), zero( out1( X )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 196, [ ~( 'not_ok'( X ) ), ~( zero( out1( X ) ) ), one( in1( X )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 197, [ ~( 'not_ok'( X ) ), ~( one( out1( X ) ) ), zero( in1( X )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 198, [ ~( 'not_ok'( X ) ), ~( abnormal( X ) ) ] )
% 0.43/1.06 , clause( 199, [ ~( 'logic_not'( X ) ), 'not_ok'( X ), abnormal( X ) ] )
% 0.43/1.06 , clause( 200, [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ] )
% 0.43/1.06 , clause( 201, [ ~( halfadder( X ) ), 'logic_and'( and2( X ) ) ] )
% 0.43/1.06 , clause( 202, [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ] )
% 0.43/1.06 , clause( 203, [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.43/1.06 , clause( 204, [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X ) )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 205, [ ~( halfadder( X ) ), connection( in2( X ), in2( or1( X ) )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 206, [ ~( halfadder( X ) ), connection( in1( X ), in1( and2( X )
% 0.43/1.06 ) ) ] )
% 0.43/1.06 , clause( 207, [ ~( halfadder( X ) ), connection( in2( X ), in2( and2( X )
% 0.43/1.06 ) ) ] )
% 0.43/1.06 , clause( 208, [ ~( halfadder( X ) ), connection( outs( X ), out1( and1( X
% 0.43/1.06 ) ) ) ] )
% 0.43/1.06 , clause( 209, [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X
% 0.43/1.06 ) ) ) ] )
% 0.43/1.06 , clause( 210, [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1(
% 0.43/1.06 and1( X ) ) ) ] )
% 0.43/1.06 , clause( 211, [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1(
% 0.43/1.06 not1( X ) ) ) ] )
% 0.43/1.06 , clause( 212, [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2(
% 0.43/1.06 and1( X ) ) ) ] )
% 0.43/1.06 , clause( 213, [ halfadder( h ) ] )
% 0.43/1.06 , clause( 214, [ one( in1( h ) ) ] )
% 0.43/1.06 , clause( 215, [ zero( in2( h ) ) ] )
% 0.43/1.06 , clause( 216, [ zero( outs( h ) ) ] )
% 0.43/1.06 , clause( 217, [ zero( outc( h ) ) ] )
% 0.43/1.06 , clause( 218, [ ~( abnormal( and1( h ) ) ) ] )
% 0.43/1.06 , clause( 219, [ ~( abnormal( not1( h ) ) ) ] )
% 0.43/1.06 , clause( 220, [ ~( abnormal( or1( h ) ) ) ] )
% 0.43/1.06 ] ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.43/1.06 , clause( 173, [ ~( connection( X, Y ) ), ~( zero( X ) ), zero( Y ) ] )
% 0.43/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.43/1.06 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 2, [ ~( zero( Y ) ), zero( X ), ~( connection( X, Y ) ) ] )
% 0.43/1.06 , clause( 175, [ ~( connection( X, Y ) ), ~( zero( Y ) ), zero( X ) ] )
% 0.43/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.43/1.06 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.43/1.06 , clause( 176, [ ~( connection( X, Y ) ), ~( one( Y ) ), one( X ) ] )
% 0.43/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.43/1.06 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 4, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.43/1.06 , clause( 177, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.43/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.06 1 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 8, [ ~( zero( out1( X ) ) ), zero( in1( X ) ), zero( in2( X ) ),
% 0.43/1.06 ~( 'and_ok'( X ) ) ] )
% 0.43/1.06 , clause( 181, [ ~( 'and_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X )
% 0.43/1.06 ), zero( in2( X ) ) ] )
% 0.43/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.43/1.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.43/1.06 , clause( 185, [ ~( 'logic_and'( X ) ), 'and_ok'( X ), abnormal( X ) ] )
% 0.43/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.43/1.07 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 17, [ ~( zero( out1( X ) ) ), zero( in1( X ) ), ~( 'or_ok'( X ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 190, [ ~( 'or_ok'( X ) ), ~( zero( out1( X ) ) ), zero( in1( X )
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.43/1.07 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 20, [ 'or_ok'( X ), abnormal( X ), ~( 'logic_or'( X ) ) ] )
% 0.43/1.07 , clause( 193, [ ~( 'logic_or'( X ) ), 'or_ok'( X ), abnormal( X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.43/1.07 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 23, [ ~( zero( out1( X ) ) ), ~( 'not_ok'( X ) ), one( in1( X ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 196, [ ~( 'not_ok'( X ) ), ~( zero( out1( X ) ) ), one( in1( X )
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.07 0 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 26, [ 'not_ok'( X ), abnormal( X ), ~( 'logic_not'( X ) ) ] )
% 0.43/1.07 , clause( 199, [ ~( 'logic_not'( X ) ), 'not_ok'( X ), abnormal( X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.43/1.07 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 27, [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ] )
% 0.43/1.07 , clause( 200, [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 29, [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ] )
% 0.43/1.07 , clause( 202, [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 30, [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.43/1.07 , clause( 203, [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 31, [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 204, [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X ) )
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 35, [ ~( halfadder( X ) ), connection( outs( X ), out1( and1( X ) )
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 208, [ ~( halfadder( X ) ), connection( outs( X ), out1( and1( X
% 0.43/1.07 ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 36, [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X ) )
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 209, [ ~( halfadder( X ) ), connection( outc( X ), out1( and2( X
% 0.43/1.07 ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 37, [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1( and1(
% 0.43/1.07 X ) ) ) ] )
% 0.43/1.07 , clause( 210, [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1(
% 0.43/1.07 and1( X ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 38, [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1( not1(
% 0.43/1.07 X ) ) ) ] )
% 0.43/1.07 , clause( 211, [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1(
% 0.43/1.07 not1( X ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 39, [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2( and1(
% 0.43/1.07 X ) ) ) ] )
% 0.43/1.07 , clause( 212, [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2(
% 0.43/1.07 and1( X ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , clause( 213, [ halfadder( h ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 41, [ one( in1( h ) ) ] )
% 0.43/1.07 , clause( 214, [ one( in1( h ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 43, [ zero( outs( h ) ) ] )
% 0.43/1.07 , clause( 216, [ zero( outs( h ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 44, [ zero( outc( h ) ) ] )
% 0.43/1.07 , clause( 217, [ zero( outc( h ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 45, [ ~( abnormal( and1( h ) ) ) ] )
% 0.43/1.07 , clause( 218, [ ~( abnormal( and1( h ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 46, [ ~( abnormal( not1( h ) ) ) ] )
% 0.43/1.07 , clause( 219, [ ~( abnormal( not1( h ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 47, [ ~( abnormal( or1( h ) ) ) ] )
% 0.43/1.07 , clause( 220, [ ~( abnormal( or1( h ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 221, [ ~( zero( in1( h ) ) ) ] )
% 0.43/1.07 , clause( 4, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.43/1.07 , 1, clause( 41, [ one( in1( h ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, in1( h ) )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 48, [ ~( zero( in1( h ) ) ) ] )
% 0.43/1.07 , clause( 221, [ ~( zero( in1( h ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 222, [ 'not_ok'( not1( X ) ), abnormal( not1( X ) ), ~( halfadder(
% 0.43/1.07 X ) ) ] )
% 0.43/1.07 , clause( 26, [ 'not_ok'( X ), abnormal( X ), ~( 'logic_not'( X ) ) ] )
% 0.43/1.07 , 2, clause( 29, [ ~( halfadder( X ) ), 'logic_not'( not1( X ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, not1( X ) )] ), substitution( 1, [ :=( X, X
% 0.43/1.07 )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 49, [ 'not_ok'( not1( X ) ), ~( halfadder( X ) ), abnormal( not1( X
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , clause( 222, [ 'not_ok'( not1( X ) ), abnormal( not1( X ) ), ~( halfadder(
% 0.43/1.07 X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 223, [ 'or_ok'( or1( X ) ), abnormal( or1( X ) ), ~( halfadder( X )
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 20, [ 'or_ok'( X ), abnormal( X ), ~( 'logic_or'( X ) ) ] )
% 0.43/1.07 , 2, clause( 30, [ ~( halfadder( X ) ), 'logic_or'( or1( X ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, or1( X ) )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 50, [ abnormal( or1( X ) ), ~( halfadder( X ) ), 'or_ok'( or1( X )
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 223, [ 'or_ok'( or1( X ) ), abnormal( or1( X ) ), ~( halfadder( X
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.43/1.07 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 224, [ 'and_ok'( and1( X ) ), abnormal( and1( X ) ), ~( halfadder(
% 0.43/1.07 X ) ) ] )
% 0.43/1.07 , clause( 12, [ 'and_ok'( X ), abnormal( X ), ~( 'logic_and'( X ) ) ] )
% 0.43/1.07 , 2, clause( 27, [ ~( halfadder( X ) ), 'logic_and'( and1( X ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, and1( X ) )] ), substitution( 1, [ :=( X, X
% 0.43/1.07 )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 51, [ 'and_ok'( and1( X ) ), ~( halfadder( X ) ), abnormal( and1( X
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , clause( 224, [ 'and_ok'( and1( X ) ), abnormal( and1( X ) ), ~( halfadder(
% 0.43/1.07 X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 225, [ 'and_ok'( and1( h ) ), ~( halfadder( h ) ) ] )
% 0.43/1.07 , clause( 45, [ ~( abnormal( and1( h ) ) ) ] )
% 0.43/1.07 , 0, clause( 51, [ 'and_ok'( and1( X ) ), ~( halfadder( X ) ), abnormal(
% 0.43/1.07 and1( X ) ) ] )
% 0.43/1.07 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, h )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 226, [ 'and_ok'( and1( h ) ) ] )
% 0.43/1.07 , clause( 225, [ 'and_ok'( and1( h ) ), ~( halfadder( h ) ) ] )
% 0.43/1.07 , 1, clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 54, [ 'and_ok'( and1( h ) ) ] )
% 0.43/1.07 , clause( 226, [ 'and_ok'( and1( h ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 227, [ 'not_ok'( not1( h ) ), ~( halfadder( h ) ) ] )
% 0.43/1.07 , clause( 46, [ ~( abnormal( not1( h ) ) ) ] )
% 0.43/1.07 , 0, clause( 49, [ 'not_ok'( not1( X ) ), ~( halfadder( X ) ), abnormal(
% 0.43/1.07 not1( X ) ) ] )
% 0.43/1.07 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, h )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 228, [ 'not_ok'( not1( h ) ) ] )
% 0.43/1.07 , clause( 227, [ 'not_ok'( not1( h ) ), ~( halfadder( h ) ) ] )
% 0.43/1.07 , 1, clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 62, [ 'not_ok'( not1( h ) ) ] )
% 0.43/1.07 , clause( 228, [ 'not_ok'( not1( h ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 229, [ ~( zero( out1( and1( h ) ) ) ), zero( in1( and1( h ) ) ),
% 0.43/1.07 zero( in2( and1( h ) ) ) ] )
% 0.43/1.07 , clause( 8, [ ~( zero( out1( X ) ) ), zero( in1( X ) ), zero( in2( X ) ),
% 0.43/1.07 ~( 'and_ok'( X ) ) ] )
% 0.43/1.07 , 3, clause( 54, [ 'and_ok'( and1( h ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, and1( h ) )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 68, [ zero( in1( and1( h ) ) ), ~( zero( out1( and1( h ) ) ) ),
% 0.43/1.07 zero( in2( and1( h ) ) ) ] )
% 0.43/1.07 , clause( 229, [ ~( zero( out1( and1( h ) ) ) ), zero( in1( and1( h ) ) ),
% 0.43/1.07 zero( in2( and1( h ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.07 , 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 230, [ ~( zero( out1( or1( X ) ) ) ), zero( in1( or1( X ) ) ),
% 0.43/1.07 abnormal( or1( X ) ), ~( halfadder( X ) ) ] )
% 0.43/1.07 , clause( 17, [ ~( zero( out1( X ) ) ), zero( in1( X ) ), ~( 'or_ok'( X ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 2, clause( 50, [ abnormal( or1( X ) ), ~( halfadder( X ) ), 'or_ok'( or1(
% 0.43/1.07 X ) ) ] )
% 0.43/1.07 , 2, substitution( 0, [ :=( X, or1( X ) )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 73, [ zero( in1( or1( X ) ) ), ~( zero( out1( or1( X ) ) ) ), ~(
% 0.43/1.07 halfadder( X ) ), abnormal( or1( X ) ) ] )
% 0.43/1.07 , clause( 230, [ ~( zero( out1( or1( X ) ) ) ), zero( in1( or1( X ) ) ),
% 0.43/1.07 abnormal( or1( X ) ), ~( halfadder( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.07 0 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 231, [ ~( one( out1( and2( X ) ) ) ), one( outc( X ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.43/1.07 , 2, clause( 36, [ ~( halfadder( X ) ), connection( outc( X ), out1( and2(
% 0.43/1.07 X ) ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, outc( X ) ), :=( Y, out1( and2( X ) ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 78, [ ~( one( out1( and2( X ) ) ) ), one( outc( X ) ), ~( halfadder(
% 0.43/1.07 X ) ) ] )
% 0.43/1.07 , clause( 231, [ ~( one( out1( and2( X ) ) ) ), one( outc( X ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 232, [ ~( zero( outs( X ) ) ), zero( out1( and1( X ) ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , clause( 0, [ ~( zero( X ) ), zero( Y ), ~( connection( X, Y ) ) ] )
% 0.43/1.07 , 2, clause( 35, [ ~( halfadder( X ) ), connection( outs( X ), out1( and1(
% 0.43/1.07 X ) ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, outs( X ) ), :=( Y, out1( and1( X ) ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 85, [ ~( zero( outs( X ) ) ), zero( out1( and1( X ) ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , clause( 232, [ ~( zero( outs( X ) ) ), zero( out1( and1( X ) ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 233, [ ~( zero( in1( or1( X ) ) ) ), zero( in1( X ) ), ~( halfadder(
% 0.43/1.07 X ) ) ] )
% 0.43/1.07 , clause( 2, [ ~( zero( Y ) ), zero( X ), ~( connection( X, Y ) ) ] )
% 0.43/1.07 , 2, clause( 31, [ ~( halfadder( X ) ), connection( in1( X ), in1( or1( X )
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, in1( X ) ), :=( Y, in1( or1( X ) ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 99, [ ~( zero( in1( or1( X ) ) ) ), zero( in1( X ) ), ~( halfadder(
% 0.43/1.07 X ) ) ] )
% 0.43/1.07 , clause( 233, [ ~( zero( in1( or1( X ) ) ) ), zero( in1( X ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 234, [ ~( zero( in1( and1( X ) ) ) ), zero( out1( or1( X ) ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , clause( 2, [ ~( zero( Y ) ), zero( X ), ~( connection( X, Y ) ) ] )
% 0.43/1.07 , 2, clause( 37, [ ~( halfadder( X ) ), connection( out1( or1( X ) ), in1(
% 0.43/1.07 and1( X ) ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, out1( or1( X ) ) ), :=( Y, in1( and1( X ) )
% 0.43/1.07 )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 105, [ ~( zero( in1( and1( X ) ) ) ), zero( out1( or1( X ) ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , clause( 234, [ ~( zero( in1( and1( X ) ) ) ), zero( out1( or1( X ) ) ),
% 0.43/1.07 ~( halfadder( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 235, [ ~( one( in1( not1( X ) ) ) ), one( out1( and2( X ) ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , clause( 3, [ ~( one( Y ) ), one( X ), ~( connection( X, Y ) ) ] )
% 0.43/1.07 , 2, clause( 38, [ ~( halfadder( X ) ), connection( out1( and2( X ) ), in1(
% 0.43/1.07 not1( X ) ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, out1( and2( X ) ) ), :=( Y, in1( not1( X ) )
% 0.43/1.07 )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 109, [ ~( one( in1( not1( X ) ) ) ), one( out1( and2( X ) ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , clause( 235, [ ~( one( in1( not1( X ) ) ) ), one( out1( and2( X ) ) ),
% 0.43/1.07 ~( halfadder( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 236, [ ~( zero( in2( and1( X ) ) ) ), zero( out1( not1( X ) ) ),
% 0.43/1.07 ~( halfadder( X ) ) ] )
% 0.43/1.07 , clause( 2, [ ~( zero( Y ) ), zero( X ), ~( connection( X, Y ) ) ] )
% 0.43/1.07 , 2, clause( 39, [ ~( halfadder( X ) ), connection( out1( not1( X ) ), in2(
% 0.43/1.07 and1( X ) ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, out1( not1( X ) ) ), :=( Y, in2( and1( X ) )
% 0.43/1.07 )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 114, [ ~( zero( in2( and1( X ) ) ) ), zero( out1( not1( X ) ) ),
% 0.43/1.07 ~( halfadder( X ) ) ] )
% 0.43/1.07 , clause( 236, [ ~( zero( in2( and1( X ) ) ) ), zero( out1( not1( X ) ) ),
% 0.43/1.07 ~( halfadder( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 237, [ ~( zero( in1( or1( h ) ) ) ), zero( in1( h ) ) ] )
% 0.43/1.07 , clause( 99, [ ~( zero( in1( or1( X ) ) ) ), zero( in1( X ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , 2, clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 238, [ ~( zero( in1( or1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 48, [ ~( zero( in1( h ) ) ) ] )
% 0.43/1.07 , 0, clause( 237, [ ~( zero( in1( or1( h ) ) ) ), zero( in1( h ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 117, [ ~( zero( in1( or1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 238, [ ~( zero( in1( or1( h ) ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 239, [ zero( in1( or1( h ) ) ), ~( zero( out1( or1( h ) ) ) ), ~(
% 0.43/1.07 halfadder( h ) ) ] )
% 0.43/1.07 , clause( 47, [ ~( abnormal( or1( h ) ) ) ] )
% 0.43/1.07 , 0, clause( 73, [ zero( in1( or1( X ) ) ), ~( zero( out1( or1( X ) ) ) ),
% 0.43/1.07 ~( halfadder( X ) ), abnormal( or1( X ) ) ] )
% 0.43/1.07 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, h )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 240, [ ~( zero( out1( or1( h ) ) ) ), ~( halfadder( h ) ) ] )
% 0.43/1.07 , clause( 117, [ ~( zero( in1( or1( h ) ) ) ) ] )
% 0.43/1.07 , 0, clause( 239, [ zero( in1( or1( h ) ) ), ~( zero( out1( or1( h ) ) ) )
% 0.43/1.07 , ~( halfadder( h ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 139, [ ~( zero( out1( or1( h ) ) ) ), ~( halfadder( h ) ) ] )
% 0.43/1.07 , clause( 240, [ ~( zero( out1( or1( h ) ) ) ), ~( halfadder( h ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 241, [ ~( zero( out1( or1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 139, [ ~( zero( out1( or1( h ) ) ) ), ~( halfadder( h ) ) ] )
% 0.43/1.07 , 1, clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 140, [ ~( zero( out1( or1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 241, [ ~( zero( out1( or1( h ) ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 242, [ ~( zero( outs( h ) ) ), zero( out1( and1( h ) ) ) ] )
% 0.43/1.07 , clause( 85, [ ~( zero( outs( X ) ) ), zero( out1( and1( X ) ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , 2, clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 243, [ zero( out1( and1( h ) ) ) ] )
% 0.43/1.07 , clause( 242, [ ~( zero( outs( h ) ) ), zero( out1( and1( h ) ) ) ] )
% 0.43/1.07 , 0, clause( 43, [ zero( outs( h ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 151, [ zero( out1( and1( h ) ) ) ] )
% 0.43/1.07 , clause( 243, [ zero( out1( and1( h ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 244, [ ~( one( out1( and2( h ) ) ) ), one( outc( h ) ) ] )
% 0.43/1.07 , clause( 78, [ ~( one( out1( and2( X ) ) ) ), one( outc( X ) ), ~(
% 0.43/1.07 halfadder( X ) ) ] )
% 0.43/1.07 , 2, clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 154, [ ~( one( out1( and2( h ) ) ) ), one( outc( h ) ) ] )
% 0.43/1.07 , clause( 244, [ ~( one( out1( and2( h ) ) ) ), one( outc( h ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 245, [ ~( zero( outc( h ) ) ), ~( one( out1( and2( h ) ) ) ) ] )
% 0.43/1.07 , clause( 4, [ ~( zero( X ) ), ~( one( X ) ) ] )
% 0.43/1.07 , 1, clause( 154, [ ~( one( out1( and2( h ) ) ) ), one( outc( h ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, outc( h ) )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 246, [ ~( one( out1( and2( h ) ) ) ) ] )
% 0.43/1.07 , clause( 245, [ ~( zero( outc( h ) ) ), ~( one( out1( and2( h ) ) ) ) ] )
% 0.43/1.07 , 0, clause( 44, [ zero( outc( h ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 155, [ ~( one( out1( and2( h ) ) ) ) ] )
% 0.43/1.07 , clause( 246, [ ~( one( out1( and2( h ) ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 247, [ ~( zero( in2( and1( h ) ) ) ), zero( out1( not1( h ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 114, [ ~( zero( in2( and1( X ) ) ) ), zero( out1( not1( X ) ) ),
% 0.43/1.07 ~( halfadder( X ) ) ] )
% 0.43/1.07 , 2, clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 159, [ zero( out1( not1( h ) ) ), ~( zero( in2( and1( h ) ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 247, [ ~( zero( in2( and1( h ) ) ) ), zero( out1( not1( h ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 248, [ zero( out1( not1( h ) ) ), zero( in1( and1( h ) ) ), ~( zero(
% 0.43/1.07 out1( and1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 159, [ zero( out1( not1( h ) ) ), ~( zero( in2( and1( h ) ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 1, clause( 68, [ zero( in1( and1( h ) ) ), ~( zero( out1( and1( h ) ) ) )
% 0.43/1.07 , zero( in2( and1( h ) ) ) ] )
% 0.43/1.07 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 249, [ zero( out1( not1( h ) ) ), zero( in1( and1( h ) ) ) ] )
% 0.43/1.07 , clause( 248, [ zero( out1( not1( h ) ) ), zero( in1( and1( h ) ) ), ~(
% 0.43/1.07 zero( out1( and1( h ) ) ) ) ] )
% 0.43/1.07 , 2, clause( 151, [ zero( out1( and1( h ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 160, [ zero( in1( and1( h ) ) ), zero( out1( not1( h ) ) ) ] )
% 0.43/1.07 , clause( 249, [ zero( out1( not1( h ) ) ), zero( in1( and1( h ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 250, [ ~( zero( in1( and1( h ) ) ) ), zero( out1( or1( h ) ) ) ] )
% 0.43/1.07 , clause( 105, [ ~( zero( in1( and1( X ) ) ) ), zero( out1( or1( X ) ) ),
% 0.43/1.07 ~( halfadder( X ) ) ] )
% 0.43/1.07 , 2, clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 251, [ ~( zero( in1( and1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 140, [ ~( zero( out1( or1( h ) ) ) ) ] )
% 0.43/1.07 , 0, clause( 250, [ ~( zero( in1( and1( h ) ) ) ), zero( out1( or1( h ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 163, [ ~( zero( in1( and1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 251, [ ~( zero( in1( and1( h ) ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 252, [ ~( one( in1( not1( h ) ) ) ), one( out1( and2( h ) ) ) ] )
% 0.43/1.07 , clause( 109, [ ~( one( in1( not1( X ) ) ) ), one( out1( and2( X ) ) ),
% 0.43/1.07 ~( halfadder( X ) ) ] )
% 0.43/1.07 , 2, clause( 40, [ halfadder( h ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 253, [ ~( one( in1( not1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 155, [ ~( one( out1( and2( h ) ) ) ) ] )
% 0.43/1.07 , 0, clause( 252, [ ~( one( in1( not1( h ) ) ) ), one( out1( and2( h ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 169, [ ~( one( in1( not1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 253, [ ~( one( in1( not1( h ) ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 254, [ ~( zero( out1( not1( h ) ) ) ), ~( 'not_ok'( not1( h ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 169, [ ~( one( in1( not1( h ) ) ) ) ] )
% 0.43/1.07 , 0, clause( 23, [ ~( zero( out1( X ) ) ), ~( 'not_ok'( X ) ), one( in1( X
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, not1( h ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 255, [ ~( zero( out1( not1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 254, [ ~( zero( out1( not1( h ) ) ) ), ~( 'not_ok'( not1( h ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 1, clause( 62, [ 'not_ok'( not1( h ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 170, [ ~( zero( out1( not1( h ) ) ) ) ] )
% 0.43/1.07 , clause( 255, [ ~( zero( out1( not1( h ) ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 256, [ zero( in1( and1( h ) ) ) ] )
% 0.43/1.07 , clause( 170, [ ~( zero( out1( not1( h ) ) ) ) ] )
% 0.43/1.07 , 0, clause( 160, [ zero( in1( and1( h ) ) ), zero( out1( not1( h ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 257, [] )
% 0.43/1.07 , clause( 163, [ ~( zero( in1( and1( h ) ) ) ) ] )
% 0.43/1.07 , 0, clause( 256, [ zero( in1( and1( h ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 171, [] )
% 0.43/1.07 , clause( 257, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 2699
% 0.43/1.07 space for clauses: 9162
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 216
% 0.43/1.07 clauses kept: 172
% 0.43/1.07 clauses selected: 154
% 0.43/1.07 clauses deleted: 5
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 88
% 0.43/1.07 literals s-matched: 46
% 0.43/1.07 literals matched: 46
% 0.43/1.07 full subsumption: 0
% 0.43/1.07
% 0.43/1.07 checksum: -1314969863
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------