TSTP Solution File: HWV005-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HWV005-1 : TPTP v8.1.0. Released v2.1.0.
% 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 0.45s 1.09s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV005-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 16 23:35:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.09 *** allocated 10000 integers for termspace/termends
% 0.45/1.09 *** allocated 10000 integers for clauses
% 0.45/1.09 *** allocated 10000 integers for justifications
% 0.45/1.09 Bliksem 1.12
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Automatic Strategy Selection
% 0.45/1.09
% 0.45/1.09 Clauses:
% 0.45/1.09 [
% 0.45/1.09 [ ~( connection( X, Y ) ), ~( value( X, Z ) ), value( Y, Z ) ],
% 0.45/1.09 [ ~( connection( X, Y ) ), ~( value( Y, Z ) ), value( X, Z ) ],
% 0.45/1.09 [ ~( value( X, Y ) ), ~( value( X, Z ) ), 'equal_value'( Y, Z ) ],
% 0.45/1.09 [ ~( 'equal_value'( n0, n1 ) ) ],
% 0.45/1.09 [ ~( 'equal_value'( n1, n0 ) ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( mode( X, abnormal ) ) ],
% 0.45/1.09 [ ~( type( X, Y ) ), mode( X, ok ), mode( X, abnormal ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( Y, X ), n0 ) )
% 0.45/1.09 , value( out( n1, X ), n0 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( n1, X ), n1 ) )
% 0.45/1.09 , ~( value( in( n2, X ), n1 ) ), value( out( n1, X ), n1 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1, X ), n0 )
% 0.45/1.09 ), value( in( n1, X ), n0 ), value( in( n2, X ), n0 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1, X ), n1 )
% 0.45/1.09 ), value( in( n1, X ), n1 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1, X ), n1 )
% 0.45/1.09 ), value( in( n2, X ), n1 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( Y, X ), n1 ) ),
% 0.45/1.09 value( out( n1, X ), n1 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( n1, X ), n0 ) )
% 0.45/1.09 , ~( value( in( n2, X ), n0 ) ), value( out( n1, X ), n0 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1, X ), n1 ) )
% 0.45/1.09 , value( in( n1, X ), n1 ), value( in( n2, X ), n1 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1, X ), n0 ) )
% 0.45/1.09 , value( in( n1, X ), n0 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1, X ), n0 ) )
% 0.45/1.09 , value( in( n2, X ), n0 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1, X ), n0 ) )
% 0.45/1.09 , value( out( n1, X ), n1 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1, X ), n1 ) )
% 0.45/1.09 , value( out( n1, X ), n0 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1, X ), n0 )
% 0.45/1.09 ), value( in( n1, X ), n1 ) ],
% 0.45/1.09 [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1, X ), n1 )
% 0.45/1.09 ), value( in( n1, X ), n0 ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), type( and1( X ), and ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), type( and2( X ), and ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), type( not1( X ), not ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), type( or1( X ), or ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1, or1( X ) )
% 0.45/1.09 ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2, or1( X ) )
% 0.45/1.09 ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1, and2( X )
% 0.45/1.09 ) ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2, and2( X )
% 0.45/1.09 ) ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), connection( out( s, X ), out( n1, and1( X )
% 0.45/1.09 ) ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), connection( out( c, X ), out( n1, and2( X )
% 0.45/1.09 ) ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), connection( out( n1, or1( X ) ), in( n1,
% 0.45/1.09 and1( X ) ) ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), connection( out( n1, and2( X ) ), in( n1,
% 0.45/1.09 not1( X ) ) ) ],
% 0.45/1.09 [ ~( type( X, halfadder ) ), connection( out( n1, not1( X ) ), in( n2,
% 0.45/1.09 and1( X ) ) ) ],
% 0.45/1.09 [ type( h, halfadder ) ],
% 0.45/1.09 [ value( in( n1, h ), n1 ) ],
% 0.45/1.09 [ value( in( n2, h ), n0 ) ],
% 0.45/1.09 [ value( out( s, h ), n0 ) ],
% 0.45/1.09 [ value( out( c, h ), n0 ) ],
% 0.45/1.09 [ ~( mode( and1( h ), abnormal ) ) ],
% 0.45/1.09 [ ~( mode( not1( h ), abnormal ) ) ],
% 0.45/1.09 [ ~( mode( or1( h ), abnormal ) ) ]
% 0.45/1.09 ] .
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 percentage equality = 0.000000, percentage horn = 0.928571
% 0.45/1.09 This is a near-Horn, non-equality problem
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Options Used:
% 0.45/1.09
% 0.45/1.09 useres = 1
% 0.45/1.09 useparamod = 0
% 0.45/1.09 useeqrefl = 0
% 0.45/1.09 useeqfact = 0
% 0.45/1.09 usefactor = 1
% 0.45/1.09 usesimpsplitting = 0
% 0.45/1.09 usesimpdemod = 0
% 0.45/1.09 usesimpres = 4
% 0.45/1.09
% 0.45/1.09 resimpinuse = 1000
% 0.45/1.09 resimpclauses = 20000
% 0.45/1.09 substype = standard
% 0.45/1.09 backwardsubs = 1
% 0.45/1.09 selectoldest = 5
% 0.45/1.09
% 0.45/1.09 litorderings [0] = split
% 0.45/1.09 litorderings [1] = liftord
% 0.45/1.09
% 0.45/1.09 termordering = none
% 0.45/1.09
% 0.45/1.09 litapriori = 1
% 0.45/1.09 termapriori = 0
% 0.45/1.09 litaposteriori = 0
% 0.45/1.09 termaposteriori = 0
% 0.45/1.09 demodaposteriori = 0
% 0.45/1.09 ordereqreflfact = 0
% 0.45/1.09
% 0.45/1.09 litselect = negative
% 0.45/1.09
% 0.45/1.09 maxweight = 30000
% 0.45/1.09 maxdepth = 30000
% 0.45/1.09 maxlength = 115
% 0.45/1.09 maxnrvars = 195
% 0.45/1.09 excuselevel = 0
% 0.45/1.09 increasemaxweight = 0
% 0.45/1.09
% 0.45/1.09 maxselected = 10000000
% 0.45/1.09 maxnrclauses = 10000000
% 0.45/1.09
% 0.45/1.09 showgenerated = 0
% 0.45/1.09 showkept = 0
% 0.45/1.09 showselected = 0
% 0.45/1.09 showdeleted = 0
% 0.45/1.09 showresimp = 1
% 0.45/1.09 showstatus = 2000
% 0.45/1.09
% 0.45/1.09 prologoutput = 1
% 0.45/1.09 nrgoals = 5000000
% 0.45/1.09 totalproof = 1
% 0.45/1.09
% 0.45/1.09 Symbols occurring in the translation:
% 0.45/1.09
% 0.45/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.09 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 0.45/1.09 ! [4, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.45/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.09 connection [41, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.45/1.09 value [43, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.45/1.09 'equal_value' [47, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.45/1.09 n0 [48, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.45/1.09 n1 [49, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.45/1.09 ok [51, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.45/1.09 mode [52, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.45/1.09 abnormal [53, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.45/1.09 type [55, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.45/1.09 and [56, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.45/1.09 in [57, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.45/1.09 out [58, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.45/1.09 n2 [59, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.45/1.09 or [60, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.45/1.09 not [61, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.45/1.09 halfadder [63, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.45/1.09 and1 [64, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.45/1.09 and2 [65, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.45/1.09 not1 [66, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.45/1.09 or1 [67, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.45/1.09 s [68, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.45/1.09 c [69, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.45/1.09 h [70, 0] (w:1, o:29, a:1, s:1, b:0).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Starting Search:
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Bliksems!, er is een bewijs:
% 0.45/1.09 % SZS status Unsatisfiable
% 0.45/1.09 % SZS output start Refutation
% 0.45/1.09
% 0.45/1.09 clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 .
% 0.45/1.09 clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 .
% 0.45/1.09 clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z ) )
% 0.45/1.09 ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 3, [ ~( 'equal_value'( n0, n1 ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 9, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( in( n1, X ),
% 0.45/1.09 n0 ), value( in( n2, X ), n0 ), ~( value( out( n1, X ), n0 ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 12, [ ~( mode( X, ok ) ), ~( type( X, or ) ), value( out( n1, X ),
% 0.45/1.09 n1 ), ~( value( in( Y, X ), n1 ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 17, [ ~( mode( X, ok ) ), ~( type( X, not ) ), value( out( n1, X )
% 0.45/1.09 , n1 ), ~( value( in( n1, X ), n0 ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 21, [ type( and1( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 23, [ type( not1( X ), not ), ~( type( X, halfadder ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 24, [ type( or1( X ), or ), ~( type( X, halfadder ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 25, [ connection( in( n1, X ), in( n1, or1( X ) ) ), ~( type( X,
% 0.45/1.09 halfadder ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 29, [ connection( out( s, X ), out( n1, and1( X ) ) ), ~( type( X,
% 0.45/1.09 halfadder ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X,
% 0.45/1.09 halfadder ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 31, [ connection( out( n1, or1( X ) ), in( n1, and1( X ) ) ), ~(
% 0.45/1.09 type( X, halfadder ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 32, [ connection( out( n1, and2( X ) ), in( n1, not1( X ) ) ), ~(
% 0.45/1.09 type( X, halfadder ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 33, [ connection( out( n1, not1( X ) ), in( n2, and1( X ) ) ), ~(
% 0.45/1.09 type( X, halfadder ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 35, [ value( in( n1, h ), n1 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 37, [ value( out( s, h ), n0 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 38, [ value( out( c, h ), n0 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 39, [ ~( mode( and1( h ), abnormal ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 40, [ ~( mode( not1( h ), abnormal ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 41, [ ~( mode( or1( h ), abnormal ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 49, [ type( or1( h ), or ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 50, [ type( not1( h ), not ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 51, [ mode( or1( h ), ok ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 53, [ mode( not1( h ), ok ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 57, [ type( and1( h ), and ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 58, [ mode( and1( h ), ok ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 60, [ connection( out( c, h ), out( n1, and2( h ) ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 62, [ value( out( n1, and2( h ) ), X ), ~( value( out( c, h ), X )
% 0.45/1.09 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 63, [ value( out( n1, and2( h ) ), n0 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 66, [ connection( out( s, h ), out( n1, and1( h ) ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 68, [ value( out( n1, and1( h ) ), X ), ~( value( out( s, h ), X )
% 0.45/1.09 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 69, [ value( out( n1, and1( h ) ), n0 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 71, [ value( in( n1, and1( h ) ), n0 ), value( in( n2, and1( h ) )
% 0.45/1.09 , n0 ), ~( type( and1( h ), and ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 94, [ connection( in( n1, h ), in( n1, or1( h ) ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 97, [ value( in( n1, or1( h ) ), X ), ~( value( in( n1, h ), X ) )
% 0.45/1.09 ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 98, [ value( in( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 100, [ value( out( n1, or1( h ) ), n1 ), ~( type( or1( h ), or ) )
% 0.45/1.09 ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 104, [ value( out( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 107, [ 'equal_value'( X, n1 ), ~( value( out( n1, or1( h ) ), X ) )
% 0.45/1.09 ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 108, [ connection( out( n1, or1( h ) ), in( n1, and1( h ) ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 109, [ value( out( n1, or1( h ) ), X ), ~( value( in( n1, and1( h )
% 0.45/1.09 ), X ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 111, [ connection( out( n1, and2( h ) ), in( n1, not1( h ) ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 113, [ value( in( n1, not1( h ) ), X ), ~( value( out( n1, and2( h
% 0.45/1.09 ) ), X ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 114, [ value( in( n1, not1( h ) ), n0 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 115, [ value( out( n1, not1( h ) ), n1 ), ~( type( not1( h ), not )
% 0.45/1.09 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 119, [ connection( out( n1, not1( h ) ), in( n2, and1( h ) ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 121, [ value( in( n2, and1( h ) ), X ), ~( value( out( n1, not1( h
% 0.45/1.09 ) ), X ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 122, [ value( out( n1, not1( h ) ), n1 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 127, [ value( in( n2, and1( h ) ), n1 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 129, [ 'equal_value'( X, n1 ), ~( value( in( n2, and1( h ) ), X ) )
% 0.45/1.09 ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 130, [ value( in( n2, and1( h ) ), n0 ), value( in( n1, and1( h ) )
% 0.45/1.09 , n0 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 133, [ value( in( n2, and1( h ) ), n0 ), value( out( n1, or1( h ) )
% 0.45/1.09 , n0 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 134, [ 'equal_value'( n0, n1 ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 137, [] )
% 0.45/1.09 .
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 % SZS output end Refutation
% 0.45/1.09 found a proof!
% 0.45/1.09
% 0.45/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.09
% 0.45/1.09 initialclauses(
% 0.45/1.09 [ clause( 139, [ ~( connection( X, Y ) ), ~( value( X, Z ) ), value( Y, Z )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 140, [ ~( connection( X, Y ) ), ~( value( Y, Z ) ), value( X, Z )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 141, [ ~( value( X, Y ) ), ~( value( X, Z ) ), 'equal_value'( Y,
% 0.45/1.09 Z ) ] )
% 0.45/1.09 , clause( 142, [ ~( 'equal_value'( n0, n1 ) ) ] )
% 0.45/1.09 , clause( 143, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.45/1.09 , clause( 144, [ ~( mode( X, ok ) ), ~( mode( X, abnormal ) ) ] )
% 0.45/1.09 , clause( 145, [ ~( type( X, Y ) ), mode( X, ok ), mode( X, abnormal ) ] )
% 0.45/1.09 , clause( 146, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( Y,
% 0.45/1.09 X ), n0 ) ), value( out( n1, X ), n0 ) ] )
% 0.45/1.09 , clause( 147, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( n1
% 0.45/1.09 , X ), n1 ) ), ~( value( in( n2, X ), n1 ) ), value( out( n1, X ), n1 ) ]
% 0.45/1.09 )
% 0.45/1.09 , clause( 148, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.45/1.09 , X ), n0 ) ), value( in( n1, X ), n0 ), value( in( n2, X ), n0 ) ] )
% 0.45/1.09 , clause( 149, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.45/1.09 , X ), n1 ) ), value( in( n1, X ), n1 ) ] )
% 0.45/1.09 , clause( 150, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.45/1.09 , X ), n1 ) ), value( in( n2, X ), n1 ) ] )
% 0.45/1.09 , clause( 151, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( Y, X
% 0.45/1.09 ), n1 ) ), value( out( n1, X ), n1 ) ] )
% 0.45/1.09 , clause( 152, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( n1,
% 0.45/1.09 X ), n0 ) ), ~( value( in( n2, X ), n0 ) ), value( out( n1, X ), n0 ) ]
% 0.45/1.09 )
% 0.45/1.09 , clause( 153, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.45/1.09 , X ), n1 ) ), value( in( n1, X ), n1 ), value( in( n2, X ), n1 ) ] )
% 0.45/1.09 , clause( 154, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.45/1.09 , X ), n0 ) ), value( in( n1, X ), n0 ) ] )
% 0.45/1.09 , clause( 155, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.45/1.09 , X ), n0 ) ), value( in( n2, X ), n0 ) ] )
% 0.45/1.09 , clause( 156, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1
% 0.45/1.09 , X ), n0 ) ), value( out( n1, X ), n1 ) ] )
% 0.45/1.09 , clause( 157, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1
% 0.45/1.09 , X ), n1 ) ), value( out( n1, X ), n0 ) ] )
% 0.45/1.09 , clause( 158, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1
% 0.45/1.09 , X ), n0 ) ), value( in( n1, X ), n1 ) ] )
% 0.45/1.09 , clause( 159, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1
% 0.45/1.09 , X ), n1 ) ), value( in( n1, X ), n0 ) ] )
% 0.45/1.09 , clause( 160, [ ~( type( X, halfadder ) ), type( and1( X ), and ) ] )
% 0.45/1.09 , clause( 161, [ ~( type( X, halfadder ) ), type( and2( X ), and ) ] )
% 0.45/1.09 , clause( 162, [ ~( type( X, halfadder ) ), type( not1( X ), not ) ] )
% 0.45/1.09 , clause( 163, [ ~( type( X, halfadder ) ), type( or1( X ), or ) ] )
% 0.45/1.09 , clause( 164, [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1
% 0.45/1.09 , or1( X ) ) ) ] )
% 0.45/1.09 , clause( 165, [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2
% 0.45/1.09 , or1( X ) ) ) ] )
% 0.45/1.09 , clause( 166, [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1
% 0.45/1.09 , and2( X ) ) ) ] )
% 0.45/1.09 , clause( 167, [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2
% 0.45/1.09 , and2( X ) ) ) ] )
% 0.45/1.09 , clause( 168, [ ~( type( X, halfadder ) ), connection( out( s, X ), out(
% 0.45/1.09 n1, and1( X ) ) ) ] )
% 0.45/1.09 , clause( 169, [ ~( type( X, halfadder ) ), connection( out( c, X ), out(
% 0.45/1.09 n1, and2( X ) ) ) ] )
% 0.45/1.09 , clause( 170, [ ~( type( X, halfadder ) ), connection( out( n1, or1( X ) )
% 0.45/1.09 , in( n1, and1( X ) ) ) ] )
% 0.45/1.09 , clause( 171, [ ~( type( X, halfadder ) ), connection( out( n1, and2( X )
% 0.45/1.09 ), in( n1, not1( X ) ) ) ] )
% 0.45/1.09 , clause( 172, [ ~( type( X, halfadder ) ), connection( out( n1, not1( X )
% 0.45/1.09 ), in( n2, and1( X ) ) ) ] )
% 0.45/1.09 , clause( 173, [ type( h, halfadder ) ] )
% 0.45/1.09 , clause( 174, [ value( in( n1, h ), n1 ) ] )
% 0.45/1.09 , clause( 175, [ value( in( n2, h ), n0 ) ] )
% 0.45/1.09 , clause( 176, [ value( out( s, h ), n0 ) ] )
% 0.45/1.09 , clause( 177, [ value( out( c, h ), n0 ) ] )
% 0.45/1.09 , clause( 178, [ ~( mode( and1( h ), abnormal ) ) ] )
% 0.45/1.09 , clause( 179, [ ~( mode( not1( h ), abnormal ) ) ] )
% 0.45/1.09 , clause( 180, [ ~( mode( or1( h ), abnormal ) ) ] )
% 0.45/1.09 ] ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , clause( 139, [ ~( connection( X, Y ) ), ~( value( X, Z ) ), value( Y, Z )
% 0.45/1.09 ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.09 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , clause( 140, [ ~( connection( X, Y ) ), ~( value( Y, Z ) ), value( X, Z )
% 0.45/1.09 ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.09 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z ) )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 141, [ ~( value( X, Y ) ), ~( value( X, Z ) ), 'equal_value'( Y,
% 0.45/1.09 Z ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 3, [ ~( 'equal_value'( n0, n1 ) ) ] )
% 0.45/1.09 , clause( 142, [ ~( 'equal_value'( n0, n1 ) ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.45/1.09 , clause( 145, [ ~( type( X, Y ) ), mode( X, ok ), mode( X, abnormal ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.45/1.09 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 9, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( in( n1, X ),
% 0.45/1.09 n0 ), value( in( n2, X ), n0 ), ~( value( out( n1, X ), n0 ) ) ] )
% 0.45/1.09 , clause( 148, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.45/1.09 , X ), n0 ) ), value( in( n1, X ), n0 ), value( in( n2, X ), n0 ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.09 1 ), ==>( 2, 4 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 12, [ ~( mode( X, ok ) ), ~( type( X, or ) ), value( out( n1, X ),
% 0.45/1.09 n1 ), ~( value( in( Y, X ), n1 ) ) ] )
% 0.45/1.09 , clause( 151, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( Y, X
% 0.45/1.09 ), n1 ) ), value( out( n1, X ), n1 ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.09 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 17, [ ~( mode( X, ok ) ), ~( type( X, not ) ), value( out( n1, X )
% 0.45/1.09 , n1 ), ~( value( in( n1, X ), n0 ) ) ] )
% 0.45/1.09 , clause( 156, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1
% 0.45/1.09 , X ), n0 ) ), value( out( n1, X ), n1 ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.09 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 21, [ type( and1( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.45/1.09 , clause( 160, [ ~( type( X, halfadder ) ), type( and1( X ), and ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 23, [ type( not1( X ), not ), ~( type( X, halfadder ) ) ] )
% 0.45/1.09 , clause( 162, [ ~( type( X, halfadder ) ), type( not1( X ), not ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 24, [ type( or1( X ), or ), ~( type( X, halfadder ) ) ] )
% 0.45/1.09 , clause( 163, [ ~( type( X, halfadder ) ), type( or1( X ), or ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 25, [ connection( in( n1, X ), in( n1, or1( X ) ) ), ~( type( X,
% 0.45/1.09 halfadder ) ) ] )
% 0.45/1.09 , clause( 164, [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1
% 0.45/1.09 , or1( X ) ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 29, [ connection( out( s, X ), out( n1, and1( X ) ) ), ~( type( X,
% 0.45/1.09 halfadder ) ) ] )
% 0.45/1.09 , clause( 168, [ ~( type( X, halfadder ) ), connection( out( s, X ), out(
% 0.45/1.09 n1, and1( X ) ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X,
% 0.45/1.09 halfadder ) ) ] )
% 0.45/1.09 , clause( 169, [ ~( type( X, halfadder ) ), connection( out( c, X ), out(
% 0.45/1.09 n1, and2( X ) ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 31, [ connection( out( n1, or1( X ) ), in( n1, and1( X ) ) ), ~(
% 0.45/1.09 type( X, halfadder ) ) ] )
% 0.45/1.09 , clause( 170, [ ~( type( X, halfadder ) ), connection( out( n1, or1( X ) )
% 0.45/1.09 , in( n1, and1( X ) ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 32, [ connection( out( n1, and2( X ) ), in( n1, not1( X ) ) ), ~(
% 0.45/1.09 type( X, halfadder ) ) ] )
% 0.45/1.09 , clause( 171, [ ~( type( X, halfadder ) ), connection( out( n1, and2( X )
% 0.45/1.09 ), in( n1, not1( X ) ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 33, [ connection( out( n1, not1( X ) ), in( n2, and1( X ) ) ), ~(
% 0.45/1.09 type( X, halfadder ) ) ] )
% 0.45/1.09 , clause( 172, [ ~( type( X, halfadder ) ), connection( out( n1, not1( X )
% 0.45/1.09 ), in( n2, and1( X ) ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , clause( 173, [ type( h, halfadder ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 35, [ value( in( n1, h ), n1 ) ] )
% 0.45/1.09 , clause( 174, [ value( in( n1, h ), n1 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 37, [ value( out( s, h ), n0 ) ] )
% 0.45/1.09 , clause( 176, [ value( out( s, h ), n0 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 38, [ value( out( c, h ), n0 ) ] )
% 0.45/1.09 , clause( 177, [ value( out( c, h ), n0 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 39, [ ~( mode( and1( h ), abnormal ) ) ] )
% 0.45/1.09 , clause( 178, [ ~( mode( and1( h ), abnormal ) ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 40, [ ~( mode( not1( h ), abnormal ) ) ] )
% 0.45/1.09 , clause( 179, [ ~( mode( not1( h ), abnormal ) ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 41, [ ~( mode( or1( h ), abnormal ) ) ] )
% 0.45/1.09 , clause( 180, [ ~( mode( or1( h ), abnormal ) ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 203, [ type( or1( h ), or ) ] )
% 0.45/1.09 , clause( 24, [ type( or1( X ), or ), ~( type( X, halfadder ) ) ] )
% 0.45/1.09 , 1, clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 49, [ type( or1( h ), or ) ] )
% 0.45/1.09 , clause( 203, [ type( or1( h ), or ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 204, [ type( not1( h ), not ) ] )
% 0.45/1.09 , clause( 23, [ type( not1( X ), not ), ~( type( X, halfadder ) ) ] )
% 0.45/1.09 , 1, clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 50, [ type( not1( h ), not ) ] )
% 0.45/1.09 , clause( 204, [ type( not1( h ), not ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 205, [ mode( or1( h ), ok ), mode( or1( h ), abnormal ) ] )
% 0.45/1.09 , clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.45/1.09 , 2, clause( 49, [ type( or1( h ), or ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, or1( h ) ), :=( Y, or )] ), substitution( 1
% 0.45/1.09 , [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 206, [ mode( or1( h ), ok ) ] )
% 0.45/1.09 , clause( 41, [ ~( mode( or1( h ), abnormal ) ) ] )
% 0.45/1.09 , 0, clause( 205, [ mode( or1( h ), ok ), mode( or1( h ), abnormal ) ] )
% 0.45/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 51, [ mode( or1( h ), ok ) ] )
% 0.45/1.09 , clause( 206, [ mode( or1( h ), ok ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 207, [ mode( not1( h ), ok ), mode( not1( h ), abnormal ) ] )
% 0.45/1.09 , clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.45/1.09 , 2, clause( 50, [ type( not1( h ), not ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, not1( h ) ), :=( Y, not )] ), substitution(
% 0.45/1.09 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 208, [ mode( not1( h ), ok ) ] )
% 0.45/1.09 , clause( 40, [ ~( mode( not1( h ), abnormal ) ) ] )
% 0.45/1.09 , 0, clause( 207, [ mode( not1( h ), ok ), mode( not1( h ), abnormal ) ] )
% 0.45/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 53, [ mode( not1( h ), ok ) ] )
% 0.45/1.09 , clause( 208, [ mode( not1( h ), ok ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 209, [ type( and1( h ), and ) ] )
% 0.45/1.09 , clause( 21, [ type( and1( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.45/1.09 , 1, clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 57, [ type( and1( h ), and ) ] )
% 0.45/1.09 , clause( 209, [ type( and1( h ), and ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 210, [ mode( and1( h ), ok ), mode( and1( h ), abnormal ) ] )
% 0.45/1.09 , clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.45/1.09 , 2, clause( 57, [ type( and1( h ), and ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, and1( h ) ), :=( Y, and )] ), substitution(
% 0.45/1.09 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 211, [ mode( and1( h ), ok ) ] )
% 0.45/1.09 , clause( 39, [ ~( mode( and1( h ), abnormal ) ) ] )
% 0.45/1.09 , 0, clause( 210, [ mode( and1( h ), ok ), mode( and1( h ), abnormal ) ] )
% 0.45/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 58, [ mode( and1( h ), ok ) ] )
% 0.45/1.09 , clause( 211, [ mode( and1( h ), ok ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 212, [ connection( out( c, h ), out( n1, and2( h ) ) ) ] )
% 0.45/1.09 , clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X
% 0.45/1.09 , halfadder ) ) ] )
% 0.45/1.09 , 1, clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 60, [ connection( out( c, h ), out( n1, and2( h ) ) ) ] )
% 0.45/1.09 , clause( 212, [ connection( out( c, h ), out( n1, and2( h ) ) ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 213, [ ~( value( out( c, h ), X ) ), value( out( n1, and2( h ) ), X
% 0.45/1.09 ) ] )
% 0.45/1.09 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , 2, clause( 60, [ connection( out( c, h ), out( n1, and2( h ) ) ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, out( c, h ) ), :=( Y, out( n1, and2( h ) ) )
% 0.45/1.09 , :=( Z, X )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 62, [ value( out( n1, and2( h ) ), X ), ~( value( out( c, h ), X )
% 0.45/1.09 ) ] )
% 0.45/1.09 , clause( 213, [ ~( value( out( c, h ), X ) ), value( out( n1, and2( h ) )
% 0.45/1.09 , X ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 214, [ value( out( n1, and2( h ) ), n0 ) ] )
% 0.45/1.09 , clause( 62, [ value( out( n1, and2( h ) ), X ), ~( value( out( c, h ), X
% 0.45/1.09 ) ) ] )
% 0.45/1.09 , 1, clause( 38, [ value( out( c, h ), n0 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 63, [ value( out( n1, and2( h ) ), n0 ) ] )
% 0.45/1.09 , clause( 214, [ value( out( n1, and2( h ) ), n0 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 215, [ connection( out( s, h ), out( n1, and1( h ) ) ) ] )
% 0.45/1.09 , clause( 29, [ connection( out( s, X ), out( n1, and1( X ) ) ), ~( type( X
% 0.45/1.09 , halfadder ) ) ] )
% 0.45/1.09 , 1, clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 66, [ connection( out( s, h ), out( n1, and1( h ) ) ) ] )
% 0.45/1.09 , clause( 215, [ connection( out( s, h ), out( n1, and1( h ) ) ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 216, [ ~( value( out( s, h ), X ) ), value( out( n1, and1( h ) ), X
% 0.45/1.09 ) ] )
% 0.45/1.09 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , 2, clause( 66, [ connection( out( s, h ), out( n1, and1( h ) ) ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, out( s, h ) ), :=( Y, out( n1, and1( h ) ) )
% 0.45/1.09 , :=( Z, X )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 68, [ value( out( n1, and1( h ) ), X ), ~( value( out( s, h ), X )
% 0.45/1.09 ) ] )
% 0.45/1.09 , clause( 216, [ ~( value( out( s, h ), X ) ), value( out( n1, and1( h ) )
% 0.45/1.09 , X ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 217, [ value( out( n1, and1( h ) ), n0 ) ] )
% 0.45/1.09 , clause( 68, [ value( out( n1, and1( h ) ), X ), ~( value( out( s, h ), X
% 0.45/1.09 ) ) ] )
% 0.45/1.09 , 1, clause( 37, [ value( out( s, h ), n0 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 69, [ value( out( n1, and1( h ) ), n0 ) ] )
% 0.45/1.09 , clause( 217, [ value( out( n1, and1( h ) ), n0 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 218, [ ~( mode( and1( h ), ok ) ), ~( type( and1( h ), and ) ),
% 0.45/1.09 value( in( n1, and1( h ) ), n0 ), value( in( n2, and1( h ) ), n0 ) ] )
% 0.45/1.09 , clause( 9, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( in( n1, X )
% 0.45/1.09 , n0 ), value( in( n2, X ), n0 ), ~( value( out( n1, X ), n0 ) ) ] )
% 0.45/1.09 , 4, clause( 69, [ value( out( n1, and1( h ) ), n0 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, and1( h ) )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 219, [ ~( type( and1( h ), and ) ), value( in( n1, and1( h ) ), n0
% 0.45/1.09 ), value( in( n2, and1( h ) ), n0 ) ] )
% 0.45/1.09 , clause( 218, [ ~( mode( and1( h ), ok ) ), ~( type( and1( h ), and ) ),
% 0.45/1.09 value( in( n1, and1( h ) ), n0 ), value( in( n2, and1( h ) ), n0 ) ] )
% 0.45/1.09 , 0, clause( 58, [ mode( and1( h ), ok ) ] )
% 0.45/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 71, [ value( in( n1, and1( h ) ), n0 ), value( in( n2, and1( h ) )
% 0.45/1.09 , n0 ), ~( type( and1( h ), and ) ) ] )
% 0.45/1.09 , clause( 219, [ ~( type( and1( h ), and ) ), value( in( n1, and1( h ) ),
% 0.45/1.09 n0 ), value( in( n2, and1( h ) ), n0 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.45/1.09 , 1 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 220, [ connection( in( n1, h ), in( n1, or1( h ) ) ) ] )
% 0.45/1.09 , clause( 25, [ connection( in( n1, X ), in( n1, or1( X ) ) ), ~( type( X,
% 0.45/1.09 halfadder ) ) ] )
% 0.45/1.09 , 1, clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 94, [ connection( in( n1, h ), in( n1, or1( h ) ) ) ] )
% 0.45/1.09 , clause( 220, [ connection( in( n1, h ), in( n1, or1( h ) ) ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 221, [ ~( value( in( n1, h ), X ) ), value( in( n1, or1( h ) ), X )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , 2, clause( 94, [ connection( in( n1, h ), in( n1, or1( h ) ) ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, in( n1, h ) ), :=( Y, in( n1, or1( h ) ) ),
% 0.45/1.09 :=( Z, X )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 97, [ value( in( n1, or1( h ) ), X ), ~( value( in( n1, h ), X ) )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 221, [ ~( value( in( n1, h ), X ) ), value( in( n1, or1( h ) ), X
% 0.45/1.09 ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 222, [ value( in( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 97, [ value( in( n1, or1( h ) ), X ), ~( value( in( n1, h ), X )
% 0.45/1.09 ) ] )
% 0.45/1.09 , 1, clause( 35, [ value( in( n1, h ), n1 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 98, [ value( in( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 222, [ value( in( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 223, [ ~( mode( or1( h ), ok ) ), ~( type( or1( h ), or ) ), value(
% 0.45/1.09 out( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 12, [ ~( mode( X, ok ) ), ~( type( X, or ) ), value( out( n1, X )
% 0.45/1.09 , n1 ), ~( value( in( Y, X ), n1 ) ) ] )
% 0.45/1.09 , 3, clause( 98, [ value( in( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, or1( h ) ), :=( Y, n1 )] ), substitution( 1
% 0.45/1.09 , [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 224, [ ~( type( or1( h ), or ) ), value( out( n1, or1( h ) ), n1 )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 223, [ ~( mode( or1( h ), ok ) ), ~( type( or1( h ), or ) ),
% 0.45/1.09 value( out( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , 0, clause( 51, [ mode( or1( h ), ok ) ] )
% 0.45/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 100, [ value( out( n1, or1( h ) ), n1 ), ~( type( or1( h ), or ) )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 224, [ ~( type( or1( h ), or ) ), value( out( n1, or1( h ) ), n1
% 0.45/1.09 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.45/1.09 ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 225, [ value( out( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 100, [ value( out( n1, or1( h ) ), n1 ), ~( type( or1( h ), or )
% 0.45/1.09 ) ] )
% 0.45/1.09 , 1, clause( 49, [ type( or1( h ), or ) ] )
% 0.45/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 104, [ value( out( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 225, [ value( out( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 227, [ ~( value( out( n1, or1( h ) ), X ) ), 'equal_value'( X, n1 )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z )
% 0.45/1.09 ) ] )
% 0.45/1.09 , 2, clause( 104, [ value( out( n1, or1( h ) ), n1 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, out( n1, or1( h ) ) ), :=( Y, X ), :=( Z, n1
% 0.45/1.09 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 107, [ 'equal_value'( X, n1 ), ~( value( out( n1, or1( h ) ), X ) )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 227, [ ~( value( out( n1, or1( h ) ), X ) ), 'equal_value'( X, n1
% 0.45/1.09 ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 228, [ connection( out( n1, or1( h ) ), in( n1, and1( h ) ) ) ] )
% 0.45/1.09 , clause( 31, [ connection( out( n1, or1( X ) ), in( n1, and1( X ) ) ), ~(
% 0.45/1.09 type( X, halfadder ) ) ] )
% 0.45/1.09 , 1, clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 108, [ connection( out( n1, or1( h ) ), in( n1, and1( h ) ) ) ] )
% 0.45/1.09 , clause( 228, [ connection( out( n1, or1( h ) ), in( n1, and1( h ) ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 229, [ ~( value( in( n1, and1( h ) ), X ) ), value( out( n1, or1( h
% 0.45/1.09 ) ), X ) ] )
% 0.45/1.09 , clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , 2, clause( 108, [ connection( out( n1, or1( h ) ), in( n1, and1( h ) ) )
% 0.45/1.09 ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, out( n1, or1( h ) ) ), :=( Y, in( n1, and1(
% 0.45/1.09 h ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 109, [ value( out( n1, or1( h ) ), X ), ~( value( in( n1, and1( h )
% 0.45/1.09 ), X ) ) ] )
% 0.45/1.09 , clause( 229, [ ~( value( in( n1, and1( h ) ), X ) ), value( out( n1, or1(
% 0.45/1.09 h ) ), X ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 230, [ connection( out( n1, and2( h ) ), in( n1, not1( h ) ) ) ] )
% 0.45/1.09 , clause( 32, [ connection( out( n1, and2( X ) ), in( n1, not1( X ) ) ),
% 0.45/1.09 ~( type( X, halfadder ) ) ] )
% 0.45/1.09 , 1, clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 111, [ connection( out( n1, and2( h ) ), in( n1, not1( h ) ) ) ] )
% 0.45/1.09 , clause( 230, [ connection( out( n1, and2( h ) ), in( n1, not1( h ) ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 231, [ ~( value( out( n1, and2( h ) ), X ) ), value( in( n1, not1(
% 0.45/1.09 h ) ), X ) ] )
% 0.45/1.09 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , 2, clause( 111, [ connection( out( n1, and2( h ) ), in( n1, not1( h ) ) )
% 0.45/1.09 ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, out( n1, and2( h ) ) ), :=( Y, in( n1, not1(
% 0.45/1.09 h ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 113, [ value( in( n1, not1( h ) ), X ), ~( value( out( n1, and2( h
% 0.45/1.09 ) ), X ) ) ] )
% 0.45/1.09 , clause( 231, [ ~( value( out( n1, and2( h ) ), X ) ), value( in( n1, not1(
% 0.45/1.09 h ) ), X ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 232, [ value( in( n1, not1( h ) ), n0 ) ] )
% 0.45/1.09 , clause( 113, [ value( in( n1, not1( h ) ), X ), ~( value( out( n1, and2(
% 0.45/1.09 h ) ), X ) ) ] )
% 0.45/1.09 , 1, clause( 63, [ value( out( n1, and2( h ) ), n0 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 114, [ value( in( n1, not1( h ) ), n0 ) ] )
% 0.45/1.09 , clause( 232, [ value( in( n1, not1( h ) ), n0 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 233, [ ~( mode( not1( h ), ok ) ), ~( type( not1( h ), not ) ),
% 0.45/1.09 value( out( n1, not1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 17, [ ~( mode( X, ok ) ), ~( type( X, not ) ), value( out( n1, X
% 0.45/1.09 ), n1 ), ~( value( in( n1, X ), n0 ) ) ] )
% 0.45/1.09 , 3, clause( 114, [ value( in( n1, not1( h ) ), n0 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, not1( h ) )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 234, [ ~( type( not1( h ), not ) ), value( out( n1, not1( h ) ), n1
% 0.45/1.09 ) ] )
% 0.45/1.09 , clause( 233, [ ~( mode( not1( h ), ok ) ), ~( type( not1( h ), not ) ),
% 0.45/1.09 value( out( n1, not1( h ) ), n1 ) ] )
% 0.45/1.09 , 0, clause( 53, [ mode( not1( h ), ok ) ] )
% 0.45/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 115, [ value( out( n1, not1( h ) ), n1 ), ~( type( not1( h ), not )
% 0.45/1.09 ) ] )
% 0.45/1.09 , clause( 234, [ ~( type( not1( h ), not ) ), value( out( n1, not1( h ) ),
% 0.45/1.09 n1 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.45/1.09 ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 235, [ connection( out( n1, not1( h ) ), in( n2, and1( h ) ) ) ] )
% 0.45/1.09 , clause( 33, [ connection( out( n1, not1( X ) ), in( n2, and1( X ) ) ),
% 0.45/1.09 ~( type( X, halfadder ) ) ] )
% 0.45/1.09 , 1, clause( 34, [ type( h, halfadder ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, h )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 119, [ connection( out( n1, not1( h ) ), in( n2, and1( h ) ) ) ] )
% 0.45/1.09 , clause( 235, [ connection( out( n1, not1( h ) ), in( n2, and1( h ) ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 236, [ ~( value( out( n1, not1( h ) ), X ) ), value( in( n2, and1(
% 0.45/1.09 h ) ), X ) ] )
% 0.45/1.09 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.45/1.09 )
% 0.45/1.09 , 2, clause( 119, [ connection( out( n1, not1( h ) ), in( n2, and1( h ) ) )
% 0.45/1.09 ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, out( n1, not1( h ) ) ), :=( Y, in( n2, and1(
% 0.45/1.09 h ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 121, [ value( in( n2, and1( h ) ), X ), ~( value( out( n1, not1( h
% 0.45/1.09 ) ), X ) ) ] )
% 0.45/1.09 , clause( 236, [ ~( value( out( n1, not1( h ) ), X ) ), value( in( n2, and1(
% 0.45/1.09 h ) ), X ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 237, [ value( out( n1, not1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 115, [ value( out( n1, not1( h ) ), n1 ), ~( type( not1( h ), not
% 0.45/1.09 ) ) ] )
% 0.45/1.09 , 1, clause( 50, [ type( not1( h ), not ) ] )
% 0.45/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 122, [ value( out( n1, not1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 237, [ value( out( n1, not1( h ) ), n1 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 238, [ value( in( n2, and1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 121, [ value( in( n2, and1( h ) ), X ), ~( value( out( n1, not1(
% 0.45/1.09 h ) ), X ) ) ] )
% 0.45/1.09 , 1, clause( 122, [ value( out( n1, not1( h ) ), n1 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 127, [ value( in( n2, and1( h ) ), n1 ) ] )
% 0.45/1.09 , clause( 238, [ value( in( n2, and1( h ) ), n1 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 240, [ ~( value( in( n2, and1( h ) ), X ) ), 'equal_value'( X, n1 )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z )
% 0.45/1.09 ) ] )
% 0.45/1.09 , 2, clause( 127, [ value( in( n2, and1( h ) ), n1 ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, in( n2, and1( h ) ) ), :=( Y, X ), :=( Z, n1
% 0.45/1.09 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 129, [ 'equal_value'( X, n1 ), ~( value( in( n2, and1( h ) ), X ) )
% 0.45/1.09 ] )
% 0.45/1.09 , clause( 240, [ ~( value( in( n2, and1( h ) ), X ) ), 'equal_value'( X, n1
% 0.45/1.09 ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.09 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 241, [ value( in( n1, and1( h ) ), n0 ), value( in( n2, and1( h ) )
% 0.45/1.09 , n0 ) ] )
% 0.45/1.09 , clause( 71, [ value( in( n1, and1( h ) ), n0 ), value( in( n2, and1( h )
% 0.45/1.09 ), n0 ), ~( type( and1( h ), and ) ) ] )
% 0.45/1.09 , 2, clause( 57, [ type( and1( h ), and ) ] )
% 0.45/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 130, [ value( in( n2, and1( h ) ), n0 ), value( in( n1, and1( h ) )
% 0.45/1.09 , n0 ) ] )
% 0.45/1.09 , clause( 241, [ value( in( n1, and1( h ) ), n0 ), value( in( n2, and1( h )
% 0.45/1.09 ), n0 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.45/1.09 ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 242, [ value( out( n1, or1( h ) ), n0 ), value( in( n2, and1( h ) )
% 0.45/1.09 , n0 ) ] )
% 0.45/1.09 , clause( 109, [ value( out( n1, or1( h ) ), X ), ~( value( in( n1, and1( h
% 0.45/1.09 ) ), X ) ) ] )
% 0.45/1.09 , 1, clause( 130, [ value( in( n2, and1( h ) ), n0 ), value( in( n1, and1(
% 0.45/1.09 h ) ), n0 ) ] )
% 0.45/1.09 , 1, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 133, [ value( in( n2, and1( h ) ), n0 ), value( out( n1, or1( h ) )
% 0.45/1.09 , n0 ) ] )
% 0.45/1.09 , clause( 242, [ value( out( n1, or1( h ) ), n0 ), value( in( n2, and1( h )
% 0.45/1.09 ), n0 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.45/1.09 ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 243, [ 'equal_value'( n0, n1 ), value( in( n2, and1( h ) ), n0 ) ]
% 0.45/1.09 )
% 0.45/1.09 , clause( 107, [ 'equal_value'( X, n1 ), ~( value( out( n1, or1( h ) ), X )
% 0.45/1.09 ) ] )
% 0.45/1.09 , 1, clause( 133, [ value( in( n2, and1( h ) ), n0 ), value( out( n1, or1(
% 0.45/1.09 h ) ), n0 ) ] )
% 0.45/1.09 , 1, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 244, [ 'equal_value'( n0, n1 ), 'equal_value'( n0, n1 ) ] )
% 0.45/1.09 , clause( 129, [ 'equal_value'( X, n1 ), ~( value( in( n2, and1( h ) ), X )
% 0.45/1.09 ) ] )
% 0.45/1.09 , 1, clause( 243, [ 'equal_value'( n0, n1 ), value( in( n2, and1( h ) ), n0
% 0.45/1.09 ) ] )
% 0.45/1.09 , 1, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 factor(
% 0.45/1.09 clause( 245, [ 'equal_value'( n0, n1 ) ] )
% 0.45/1.09 , clause( 244, [ 'equal_value'( n0, n1 ), 'equal_value'( n0, n1 ) ] )
% 0.45/1.09 , 0, 1, substitution( 0, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 134, [ 'equal_value'( n0, n1 ) ] )
% 0.45/1.09 , clause( 245, [ 'equal_value'( n0, n1 ) ] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 246, [] )
% 0.45/1.09 , clause( 3, [ ~( 'equal_value'( n0, n1 ) ) ] )
% 0.45/1.09 , 0, clause( 134, [ 'equal_value'( n0, n1 ) ] )
% 0.45/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 137, [] )
% 0.45/1.09 , clause( 246, [] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 end.
% 0.45/1.09
% 0.45/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.09
% 0.45/1.09 Memory use:
% 0.45/1.09
% 0.45/1.09 space for terms: 2874
% 0.45/1.09 space for clauses: 8008
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 clauses generated: 189
% 0.45/1.09 clauses kept: 138
% 0.45/1.09 clauses selected: 122
% 0.45/1.09 clauses deleted: 5
% 0.45/1.09 clauses inuse deleted: 0
% 0.45/1.09
% 0.45/1.09 subsentry: 123
% 0.45/1.09 literals s-matched: 88
% 0.45/1.09 literals matched: 56
% 0.45/1.09 full subsumption: 0
% 0.45/1.09
% 0.45/1.09 checksum: -1535349179
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Bliksem ended
%------------------------------------------------------------------------------