TSTP Solution File: PUZ027-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 17:58:13 EDT 2022
% Result : Unsatisfiable 0.78s 1.17s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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 : Sat May 28 20:13:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.78/1.17 *** allocated 10000 integers for termspace/termends
% 0.78/1.17 *** allocated 10000 integers for clauses
% 0.78/1.17 *** allocated 10000 integers for justifications
% 0.78/1.17 Bliksem 1.12
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Automatic Strategy Selection
% 0.78/1.17
% 0.78/1.17 Clauses:
% 0.78/1.17 [
% 0.78/1.17 [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ), 'a_truth'(
% 0.78/1.17 normal( X ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( normal( X ) ) ) ]
% 0.78/1.17 ,
% 0.78/1.17 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X ) ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( normal( X ) ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ),
% 0.78/1.17 'a_truth'( Y ) ],
% 0.78/1.17 [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ), ~(
% 0.78/1.17 'a_truth'( Y ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.78/1.17 truthteller( Y ) ), 'a_truth'( normal( Y ) ) ],
% 0.78/1.17 [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'( liar( Y ) )
% 0.78/1.17 , 'a_truth'( normal( Y ) ) ],
% 0.78/1.17 [ 'a_truth'( 'not_lower'( X, X ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( 'not_lower'( X, Y ) ) ), ~( 'a_truth'( lower( X, Y ) ) )
% 0.78/1.17 ],
% 0.78/1.17 [ 'a_truth'( 'not_lower'( X, Y ) ), 'a_truth'( lower( X, Y ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( liar( X ) ) ),
% 0.78/1.17 'a_truth'( normal( Y ) ), 'a_truth'( truthteller( Y ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( normal( X ) ) ),
% 0.78/1.17 'a_truth'( truthteller( Y ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( truthteller( X ) ) ) ]
% 0.78/1.17 ,
% 0.78/1.17 [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( truthteller( Y ) ) ),
% 0.78/1.17 'a_truth'( normal( X ) ), 'a_truth'( liar( X ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( normal( Y ) ) ),
% 0.78/1.17 'a_truth'( liar( X ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( liar( Y ) ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( 'not_lower'( X, Y ) ) ), ~( 'a_truth'( truthteller( X )
% 0.78/1.17 ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'( lower( Y, X ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( 'not_lower'( X, Y ) ) ), ~( 'a_truth'( liar( X ) ) ),
% 0.78/1.17 'a_truth'( liar( Y ) ), 'a_truth'( lower( Y, X ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( 'not_lower'( X, Y ) ) ), ~( 'a_truth'( normal( X ) ) ),
% 0.78/1.17 'a_truth'( normal( Y ) ), 'a_truth'( lower( Y, X ) ) ],
% 0.78/1.17 [ 'a_truth'( says( a, lower( a, b ) ) ) ],
% 0.78/1.17 [ 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ],
% 0.78/1.17 [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'( truthteller( b ) ) )
% 0.78/1.17 , answer( 'a_and_b_truthteller' ) ],
% 0.78/1.17 [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'( normal( b ) ) ),
% 0.78/1.17 answer( 'a_truthteller_b_normal' ) ],
% 0.78/1.17 [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'( liar( b ) ) ),
% 0.78/1.17 answer( 'a_truthteller_b_liar' ) ],
% 0.78/1.17 [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( truthteller( b ) ) ),
% 0.78/1.17 answer( 'a_normal_b_truthteller' ) ],
% 0.78/1.17 [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) ) ), answer(
% 0.78/1.17 'a_and_b_normal' ) ],
% 0.78/1.17 [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( liar( b ) ) ), answer(
% 0.78/1.17 'a_normal_b_liar' ) ],
% 0.78/1.17 [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( truthteller( b ) ) ),
% 0.78/1.17 answer( 'a_liar_b_truthteller' ) ],
% 0.78/1.17 [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) ), answer(
% 0.78/1.17 'a_liar_b_normal' ) ],
% 0.78/1.17 [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( liar( b ) ) ), answer(
% 0.78/1.17 'a_and_b_liar' ) ],
% 0.78/1.17 [ ~( answer( X ) ) ]
% 0.78/1.17 ] .
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 percentage equality = 0.000000, percentage horn = 0.718750
% 0.78/1.17 This a non-horn, non-equality problem
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Options Used:
% 0.78/1.17
% 0.78/1.17 useres = 1
% 0.78/1.17 useparamod = 0
% 0.78/1.17 useeqrefl = 0
% 0.78/1.17 useeqfact = 0
% 0.78/1.17 usefactor = 1
% 0.78/1.17 usesimpsplitting = 0
% 0.78/1.17 usesimpdemod = 0
% 0.78/1.17 usesimpres = 3
% 0.78/1.17
% 0.78/1.17 resimpinuse = 1000
% 0.78/1.17 resimpclauses = 20000
% 0.78/1.17 substype = standard
% 0.78/1.17 backwardsubs = 1
% 0.78/1.17 selectoldest = 5
% 0.78/1.17
% 0.78/1.17 litorderings [0] = split
% 0.78/1.17 litorderings [1] = liftord
% 0.78/1.17
% 0.78/1.17 termordering = none
% 0.78/1.17
% 0.78/1.17 litapriori = 1
% 0.78/1.17 termapriori = 0
% 0.78/1.17 litaposteriori = 0
% 0.78/1.17 termaposteriori = 0
% 0.78/1.17 demodaposteriori = 0
% 0.78/1.17 ordereqreflfact = 0
% 0.78/1.17
% 0.78/1.17 litselect = none
% 0.78/1.17
% 0.78/1.17 maxweight = 15
% 0.78/1.17 maxdepth = 30000
% 0.78/1.17 maxlength = 115
% 0.78/1.17 maxnrvars = 195
% 0.78/1.17 excuselevel = 1
% 0.78/1.17 increasemaxweight = 1
% 0.78/1.17
% 0.78/1.17 maxselected = 10000000
% 0.78/1.17 maxnrclauses = 10000000
% 0.78/1.17
% 0.78/1.17 showgenerated = 0
% 0.78/1.17 showkept = 0
% 0.78/1.17 showselected = 0
% 0.78/1.17 showdeleted = 0
% 0.78/1.17 showresimp = 1
% 0.78/1.17 showstatus = 2000
% 0.78/1.17
% 0.78/1.17 prologoutput = 1
% 0.78/1.17 nrgoals = 5000000
% 0.78/1.17 totalproof = 1
% 0.78/1.17
% 0.78/1.17 Symbols occurring in the translation:
% 0.78/1.17
% 0.78/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.17 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.78/1.17 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.78/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.17 truthteller [40, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.78/1.17 'a_truth' [41, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.78/1.17 liar [42, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.78/1.17 normal [43, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.78/1.17 says [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.78/1.17 'not_lower' [46, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.78/1.17 lower [47, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.78/1.17 a [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.78/1.17 b [49, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.78/1.17 'a_and_b_truthteller' [50, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.78/1.17 answer [51, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.78/1.17 'a_truthteller_b_normal' [52, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.78/1.17 'a_truthteller_b_liar' [53, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.78/1.17 'a_normal_b_truthteller' [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.78/1.17 'a_and_b_normal' [55, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.78/1.17 'a_normal_b_liar' [56, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.78/1.17 'a_liar_b_truthteller' [57, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.78/1.17 'a_liar_b_normal' [58, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.78/1.17 'a_and_b_liar' [59, 0] (w:1, o:20, a:1, s:1, b:0).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Starting Search:
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Bliksems!, er is een bewijs:
% 0.78/1.17 % SZS status Unsatisfiable
% 0.78/1.17 % SZS output start Refutation
% 0.78/1.17
% 0.78/1.17 clause( 4, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( Y ), ~(
% 0.78/1.17 'a_truth'( says( X, Y ) ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 5, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.78/1.17 says( X, Y ) ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 6, [ 'a_truth'( normal( Y ) ), 'a_truth'( truthteller( Y ) ), ~(
% 0.78/1.17 'a_truth'( says( Y, X ) ) ), ~( 'a_truth'( X ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 7, [ 'a_truth'( normal( Y ) ), 'a_truth'( liar( Y ) ), ~( 'a_truth'(
% 0.78/1.17 says( Y, X ) ) ), 'a_truth'( X ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 10, [ 'a_truth'( 'not_lower'( X, Y ) ), 'a_truth'( lower( X, Y ) )
% 0.78/1.17 ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 13, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( lower( X, Y
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 16, [ ~( 'a_truth'( liar( Y ) ) ), ~( 'a_truth'( lower( X, Y ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 20, [ 'a_truth'( says( a, lower( a, b ) ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 21, [ 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 25, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( normal( a )
% 0.78/1.17 ) ), answer( 'a_normal_b_truthteller' ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 26, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.78/1.17 , answer( 'a_and_b_normal' ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 28, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( a ) )
% 0.78/1.17 ), answer( 'a_liar_b_truthteller' ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 29, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) ),
% 0.78/1.17 answer( 'a_liar_b_normal' ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 31, [ ~( answer( X ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 38, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 49, [ ~( 'a_truth'( liar( Y ) ) ), 'a_truth'( 'not_lower'( X, Y ) )
% 0.78/1.17 ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 58, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 77, [ 'a_truth'( normal( a ) ), ~( 'a_truth'( lower( a, b ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 .
% 0.78/1.17 clause( 103, [ 'a_truth'( liar( a ) ), 'a_truth'( normal( a ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 104, [ 'a_truth'( normal( b ) ), 'a_truth'( 'not_lower'( a, b ) ) ]
% 0.78/1.17 )
% 0.78/1.17 .
% 0.78/1.17 clause( 113, [ 'a_truth'( truthteller( X ) ), 'a_truth'( normal( X ) ),
% 0.78/1.17 'a_truth'( normal( b ) ), ~( 'a_truth'( says( X, 'not_lower'( a, b ) ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 115, [ 'a_truth'( truthteller( b ) ), 'a_truth'( normal( b ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 119, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 .
% 0.78/1.17 clause( 123, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 .
% 0.78/1.17 clause( 128, [ ~( 'a_truth'( liar( a ) ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 134, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 135, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( normal( a ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 146, [ ~( 'a_truth'( normal( a ) ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 147, [] )
% 0.78/1.17 .
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 % SZS output end Refutation
% 0.78/1.17 found a proof!
% 0.78/1.17
% 0.78/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.17
% 0.78/1.17 initialclauses(
% 0.78/1.17 [ clause( 149, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ),
% 0.78/1.17 'a_truth'( normal( X ) ) ] )
% 0.78/1.17 , clause( 150, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( normal(
% 0.78/1.17 X ) ) ) ] )
% 0.78/1.17 , clause( 151, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 , clause( 152, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( normal( X ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 153, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X
% 0.78/1.17 , Y ) ) ), 'a_truth'( Y ) ] )
% 0.78/1.17 , clause( 154, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) )
% 0.78/1.17 ), ~( 'a_truth'( Y ) ) ] )
% 0.78/1.17 , clause( 155, [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.78/1.17 'a_truth'( truthteller( Y ) ), 'a_truth'( normal( Y ) ) ] )
% 0.78/1.17 , clause( 156, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.78/1.17 liar( Y ) ), 'a_truth'( normal( Y ) ) ] )
% 0.78/1.17 , clause( 157, [ 'a_truth'( 'not_lower'( X, X ) ) ] )
% 0.78/1.17 , clause( 158, [ ~( 'a_truth'( 'not_lower'( X, Y ) ) ), ~( 'a_truth'( lower(
% 0.78/1.17 X, Y ) ) ) ] )
% 0.78/1.17 , clause( 159, [ 'a_truth'( 'not_lower'( X, Y ) ), 'a_truth'( lower( X, Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 160, [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( liar( X ) )
% 0.78/1.17 ), 'a_truth'( normal( Y ) ), 'a_truth'( truthteller( Y ) ) ] )
% 0.78/1.17 , clause( 161, [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( normal( X )
% 0.78/1.17 ) ), 'a_truth'( truthteller( Y ) ) ] )
% 0.78/1.17 , clause( 162, [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( truthteller(
% 0.78/1.17 X ) ) ) ] )
% 0.78/1.17 , clause( 163, [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( truthteller(
% 0.78/1.17 Y ) ) ), 'a_truth'( normal( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.78/1.17 , clause( 164, [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( normal( Y )
% 0.78/1.17 ) ), 'a_truth'( liar( X ) ) ] )
% 0.78/1.17 , clause( 165, [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( liar( Y ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 166, [ ~( 'a_truth'( 'not_lower'( X, Y ) ) ), ~( 'a_truth'(
% 0.78/1.17 truthteller( X ) ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'( lower( Y
% 0.78/1.17 , X ) ) ] )
% 0.78/1.17 , clause( 167, [ ~( 'a_truth'( 'not_lower'( X, Y ) ) ), ~( 'a_truth'( liar(
% 0.78/1.17 X ) ) ), 'a_truth'( liar( Y ) ), 'a_truth'( lower( Y, X ) ) ] )
% 0.78/1.17 , clause( 168, [ ~( 'a_truth'( 'not_lower'( X, Y ) ) ), ~( 'a_truth'(
% 0.78/1.17 normal( X ) ) ), 'a_truth'( normal( Y ) ), 'a_truth'( lower( Y, X ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 169, [ 'a_truth'( says( a, lower( a, b ) ) ) ] )
% 0.78/1.17 , clause( 170, [ 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ] )
% 0.78/1.17 , clause( 171, [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'(
% 0.78/1.17 truthteller( b ) ) ), answer( 'a_and_b_truthteller' ) ] )
% 0.78/1.17 , clause( 172, [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'( normal(
% 0.78/1.17 b ) ) ), answer( 'a_truthteller_b_normal' ) ] )
% 0.78/1.17 , clause( 173, [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'( liar( b
% 0.78/1.17 ) ) ), answer( 'a_truthteller_b_liar' ) ] )
% 0.78/1.17 , clause( 174, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( truthteller(
% 0.78/1.17 b ) ) ), answer( 'a_normal_b_truthteller' ) ] )
% 0.78/1.17 , clause( 175, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) )
% 0.78/1.17 ), answer( 'a_and_b_normal' ) ] )
% 0.78/1.17 , clause( 176, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( liar( b ) ) )
% 0.78/1.17 , answer( 'a_normal_b_liar' ) ] )
% 0.78/1.17 , clause( 177, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( truthteller( b
% 0.78/1.17 ) ) ), answer( 'a_liar_b_truthteller' ) ] )
% 0.78/1.17 , clause( 178, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.78/1.17 , answer( 'a_liar_b_normal' ) ] )
% 0.78/1.17 , clause( 179, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( liar( b ) ) ),
% 0.78/1.17 answer( 'a_and_b_liar' ) ] )
% 0.78/1.17 , clause( 180, [ ~( answer( X ) ) ] )
% 0.78/1.17 ] ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 4, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( Y ), ~(
% 0.78/1.17 'a_truth'( says( X, Y ) ) ) ] )
% 0.78/1.17 , clause( 153, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X
% 0.78/1.17 , Y ) ) ), 'a_truth'( Y ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 5, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.78/1.17 says( X, Y ) ) ) ] )
% 0.78/1.17 , clause( 154, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) )
% 0.78/1.17 ), ~( 'a_truth'( Y ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 6, [ 'a_truth'( normal( Y ) ), 'a_truth'( truthteller( Y ) ), ~(
% 0.78/1.17 'a_truth'( says( Y, X ) ) ), ~( 'a_truth'( X ) ) ] )
% 0.78/1.17 , clause( 155, [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.78/1.17 'a_truth'( truthteller( Y ) ), 'a_truth'( normal( Y ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.78/1.17 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 7, [ 'a_truth'( normal( Y ) ), 'a_truth'( liar( Y ) ), ~( 'a_truth'(
% 0.78/1.17 says( Y, X ) ) ), 'a_truth'( X ) ] )
% 0.78/1.17 , clause( 156, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.78/1.17 liar( Y ) ), 'a_truth'( normal( Y ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.78/1.17 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 10, [ 'a_truth'( 'not_lower'( X, Y ) ), 'a_truth'( lower( X, Y ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 159, [ 'a_truth'( 'not_lower'( X, Y ) ), 'a_truth'( lower( X, Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 ), ==>( 1, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 13, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( lower( X, Y
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 , clause( 162, [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( truthteller(
% 0.78/1.17 X ) ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.78/1.17 ), ==>( 1, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 16, [ ~( 'a_truth'( liar( Y ) ) ), ~( 'a_truth'( lower( X, Y ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 165, [ ~( 'a_truth'( lower( X, Y ) ) ), ~( 'a_truth'( liar( Y ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.78/1.17 ), ==>( 1, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 20, [ 'a_truth'( says( a, lower( a, b ) ) ) ] )
% 0.78/1.17 , clause( 169, [ 'a_truth'( says( a, lower( a, b ) ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 21, [ 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ] )
% 0.78/1.17 , clause( 170, [ 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 25, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( normal( a )
% 0.78/1.17 ) ), answer( 'a_normal_b_truthteller' ) ] )
% 0.78/1.17 , clause( 174, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( truthteller(
% 0.78/1.17 b ) ) ), answer( 'a_normal_b_truthteller' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.78/1.17 , 2 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 26, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.78/1.17 , answer( 'a_and_b_normal' ) ] )
% 0.78/1.17 , clause( 175, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) )
% 0.78/1.17 ), answer( 'a_and_b_normal' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.78/1.17 , 2 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 28, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( a ) )
% 0.78/1.17 ), answer( 'a_liar_b_truthteller' ) ] )
% 0.78/1.17 , clause( 177, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( truthteller( b
% 0.78/1.17 ) ) ), answer( 'a_liar_b_truthteller' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.78/1.17 , 2 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 29, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) ),
% 0.78/1.17 answer( 'a_liar_b_normal' ) ] )
% 0.78/1.17 , clause( 178, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.78/1.17 , answer( 'a_liar_b_normal' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.78/1.17 , 2 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 31, [ ~( answer( X ) ) ] )
% 0.78/1.17 , clause( 180, [ ~( answer( X ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 216, [ ~( 'a_truth'( truthteller( a ) ) ), 'a_truth'( lower( a, b )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 4, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( Y ), ~(
% 0.78/1.17 'a_truth'( says( X, Y ) ) ) ] )
% 0.78/1.17 , 2, clause( 20, [ 'a_truth'( says( a, lower( a, b ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, a ), :=( Y, lower( a, b ) )] ),
% 0.78/1.17 substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 217, [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'(
% 0.78/1.17 truthteller( a ) ) ) ] )
% 0.78/1.17 , clause( 13, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( lower( X
% 0.78/1.17 , Y ) ) ) ] )
% 0.78/1.17 , 1, clause( 216, [ ~( 'a_truth'( truthteller( a ) ) ), 'a_truth'( lower( a
% 0.78/1.17 , b ) ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 218, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.78/1.17 , clause( 217, [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'(
% 0.78/1.17 truthteller( a ) ) ) ] )
% 0.78/1.17 , 0, 1, substitution( 0, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 38, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.78/1.17 , clause( 218, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 219, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( 'not_lower'( Y, X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 16, [ ~( 'a_truth'( liar( Y ) ) ), ~( 'a_truth'( lower( X, Y ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 1, clause( 10, [ 'a_truth'( 'not_lower'( X, Y ) ), 'a_truth'( lower( X, Y
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.78/1.17 , Y ), :=( Y, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 49, [ ~( 'a_truth'( liar( Y ) ) ), 'a_truth'( 'not_lower'( X, Y ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 219, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( 'not_lower'( Y, X
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 ), ==>( 1, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 221, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( 'not_lower'( a, b
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 , clause( 5, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.78/1.17 'a_truth'( says( X, Y ) ) ) ] )
% 0.78/1.17 , 2, clause( 21, [ 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, b ), :=( Y, 'not_lower'( a, b ) )] ),
% 0.78/1.17 substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 222, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 221, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( 'not_lower'( a
% 0.78/1.17 , b ) ) ) ] )
% 0.78/1.17 , 1, clause( 49, [ ~( 'a_truth'( liar( Y ) ) ), 'a_truth'( 'not_lower'( X,
% 0.78/1.17 Y ) ) ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 223, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.78/1.17 , clause( 222, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , 0, 1, substitution( 0, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 58, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.78/1.17 , clause( 223, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 224, [ 'a_truth'( normal( a ) ), 'a_truth'( truthteller( a ) ), ~(
% 0.78/1.17 'a_truth'( lower( a, b ) ) ) ] )
% 0.78/1.17 , clause( 6, [ 'a_truth'( normal( Y ) ), 'a_truth'( truthteller( Y ) ), ~(
% 0.78/1.17 'a_truth'( says( Y, X ) ) ), ~( 'a_truth'( X ) ) ] )
% 0.78/1.17 , 2, clause( 20, [ 'a_truth'( says( a, lower( a, b ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, lower( a, b ) ), :=( Y, a )] ),
% 0.78/1.17 substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 226, [ 'a_truth'( normal( a ) ), ~( 'a_truth'( lower( a, b ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 38, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.78/1.17 , 0, clause( 224, [ 'a_truth'( normal( a ) ), 'a_truth'( truthteller( a ) )
% 0.78/1.17 , ~( 'a_truth'( lower( a, b ) ) ) ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 77, [ 'a_truth'( normal( a ) ), ~( 'a_truth'( lower( a, b ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 226, [ 'a_truth'( normal( a ) ), ~( 'a_truth'( lower( a, b ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 227, [ 'a_truth'( normal( a ) ), 'a_truth'( liar( a ) ), 'a_truth'(
% 0.78/1.17 lower( a, b ) ) ] )
% 0.78/1.17 , clause( 7, [ 'a_truth'( normal( Y ) ), 'a_truth'( liar( Y ) ), ~(
% 0.78/1.17 'a_truth'( says( Y, X ) ) ), 'a_truth'( X ) ] )
% 0.78/1.17 , 2, clause( 20, [ 'a_truth'( says( a, lower( a, b ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, lower( a, b ) ), :=( Y, a )] ),
% 0.78/1.17 substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 228, [ 'a_truth'( normal( a ) ), 'a_truth'( normal( a ) ),
% 0.78/1.17 'a_truth'( liar( a ) ) ] )
% 0.78/1.17 , clause( 77, [ 'a_truth'( normal( a ) ), ~( 'a_truth'( lower( a, b ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , 1, clause( 227, [ 'a_truth'( normal( a ) ), 'a_truth'( liar( a ) ),
% 0.78/1.17 'a_truth'( lower( a, b ) ) ] )
% 0.78/1.17 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 229, [ 'a_truth'( normal( a ) ), 'a_truth'( liar( a ) ) ] )
% 0.78/1.17 , clause( 228, [ 'a_truth'( normal( a ) ), 'a_truth'( normal( a ) ),
% 0.78/1.17 'a_truth'( liar( a ) ) ] )
% 0.78/1.17 , 0, 1, substitution( 0, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 103, [ 'a_truth'( liar( a ) ), 'a_truth'( normal( a ) ) ] )
% 0.78/1.17 , clause( 229, [ 'a_truth'( normal( a ) ), 'a_truth'( liar( a ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 230, [ 'a_truth'( normal( b ) ), 'a_truth'( liar( b ) ), 'a_truth'(
% 0.78/1.17 'not_lower'( a, b ) ) ] )
% 0.78/1.17 , clause( 7, [ 'a_truth'( normal( Y ) ), 'a_truth'( liar( Y ) ), ~(
% 0.78/1.17 'a_truth'( says( Y, X ) ) ), 'a_truth'( X ) ] )
% 0.78/1.17 , 2, clause( 21, [ 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, 'not_lower'( a, b ) ), :=( Y, b )] ),
% 0.78/1.17 substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 231, [ 'a_truth'( normal( b ) ), 'a_truth'( 'not_lower'( a, b ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 58, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.78/1.17 , 0, clause( 230, [ 'a_truth'( normal( b ) ), 'a_truth'( liar( b ) ),
% 0.78/1.17 'a_truth'( 'not_lower'( a, b ) ) ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 104, [ 'a_truth'( normal( b ) ), 'a_truth'( 'not_lower'( a, b ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 231, [ 'a_truth'( normal( b ) ), 'a_truth'( 'not_lower'( a, b ) )
% 0.78/1.17 ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 233, [ 'a_truth'( normal( X ) ), 'a_truth'( truthteller( X ) ), ~(
% 0.78/1.17 'a_truth'( says( X, 'not_lower'( a, b ) ) ) ), 'a_truth'( normal( b ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 6, [ 'a_truth'( normal( Y ) ), 'a_truth'( truthteller( Y ) ), ~(
% 0.78/1.17 'a_truth'( says( Y, X ) ) ), ~( 'a_truth'( X ) ) ] )
% 0.78/1.17 , 3, clause( 104, [ 'a_truth'( normal( b ) ), 'a_truth'( 'not_lower'( a, b
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'not_lower'( a, b ) ), :=( Y, X )] ),
% 0.78/1.17 substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 113, [ 'a_truth'( truthteller( X ) ), 'a_truth'( normal( X ) ),
% 0.78/1.17 'a_truth'( normal( b ) ), ~( 'a_truth'( says( X, 'not_lower'( a, b ) ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 233, [ 'a_truth'( normal( X ) ), 'a_truth'( truthteller( X ) ),
% 0.78/1.17 ~( 'a_truth'( says( X, 'not_lower'( a, b ) ) ) ), 'a_truth'( normal( b )
% 0.78/1.17 ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.78/1.17 0 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 235, [ 'a_truth'( truthteller( b ) ), 'a_truth'( normal( b ) ), ~(
% 0.78/1.17 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ) ] )
% 0.78/1.17 , clause( 113, [ 'a_truth'( truthteller( X ) ), 'a_truth'( normal( X ) ),
% 0.78/1.17 'a_truth'( normal( b ) ), ~( 'a_truth'( says( X, 'not_lower'( a, b ) ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 1, 2, substitution( 0, [ :=( X, b )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 236, [ 'a_truth'( truthteller( b ) ), 'a_truth'( normal( b ) ) ] )
% 0.78/1.17 , clause( 235, [ 'a_truth'( truthteller( b ) ), 'a_truth'( normal( b ) ),
% 0.78/1.17 ~( 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ) ] )
% 0.78/1.17 , 2, clause( 21, [ 'a_truth'( says( b, 'not_lower'( a, b ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 115, [ 'a_truth'( truthteller( b ) ), 'a_truth'( normal( b ) ) ] )
% 0.78/1.17 , clause( 236, [ 'a_truth'( truthteller( b ) ), 'a_truth'( normal( b ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 237, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 31, [ ~( answer( X ) ) ] )
% 0.78/1.17 , 0, clause( 29, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) )
% 0.78/1.17 ), answer( 'a_liar_b_normal' ) ] )
% 0.78/1.17 , 2, substitution( 0, [ :=( X, 'a_liar_b_normal' )] ), substitution( 1, [] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 119, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 237, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 238, [ ~( 'a_truth'( liar( a ) ) ), 'a_truth'( truthteller( b ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 119, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , 1, clause( 115, [ 'a_truth'( truthteller( b ) ), 'a_truth'( normal( b ) )
% 0.78/1.17 ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 123, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 238, [ ~( 'a_truth'( liar( a ) ) ), 'a_truth'( truthteller( b ) )
% 0.78/1.17 ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 239, [ ~( 'a_truth'( liar( a ) ) ), answer( 'a_liar_b_truthteller'
% 0.78/1.17 ), ~( 'a_truth'( liar( a ) ) ) ] )
% 0.78/1.17 , clause( 28, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( a )
% 0.78/1.17 ) ), answer( 'a_liar_b_truthteller' ) ] )
% 0.78/1.17 , 0, clause( 123, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a )
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 240, [ ~( 'a_truth'( liar( a ) ) ), answer( 'a_liar_b_truthteller'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 239, [ ~( 'a_truth'( liar( a ) ) ), answer(
% 0.78/1.17 'a_liar_b_truthteller' ), ~( 'a_truth'( liar( a ) ) ) ] )
% 0.78/1.17 , 0, 2, substitution( 0, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 241, [ ~( 'a_truth'( liar( a ) ) ) ] )
% 0.78/1.17 , clause( 31, [ ~( answer( X ) ) ] )
% 0.78/1.17 , 0, clause( 240, [ ~( 'a_truth'( liar( a ) ) ), answer(
% 0.78/1.17 'a_liar_b_truthteller' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'a_liar_b_truthteller' )] ), substitution( 1
% 0.78/1.17 , [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 128, [ ~( 'a_truth'( liar( a ) ) ) ] )
% 0.78/1.17 , clause( 241, [ ~( 'a_truth'( liar( a ) ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 242, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 31, [ ~( answer( X ) ) ] )
% 0.78/1.17 , 0, clause( 26, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b )
% 0.78/1.17 ) ), answer( 'a_and_b_normal' ) ] )
% 0.78/1.17 , 2, substitution( 0, [ :=( X, 'a_and_b_normal' )] ), substitution( 1, [] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 134, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 242, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 243, [ ~( 'a_truth'( normal( a ) ) ), 'a_truth'( truthteller( b ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 134, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 1, clause( 115, [ 'a_truth'( truthteller( b ) ), 'a_truth'( normal( b ) )
% 0.78/1.17 ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 135, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( normal( a ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 243, [ ~( 'a_truth'( normal( a ) ) ), 'a_truth'( truthteller( b )
% 0.78/1.17 ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 244, [ ~( 'a_truth'( normal( a ) ) ), answer(
% 0.78/1.17 'a_normal_b_truthteller' ), ~( 'a_truth'( normal( a ) ) ) ] )
% 0.78/1.17 , clause( 25, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( normal( a
% 0.78/1.17 ) ) ), answer( 'a_normal_b_truthteller' ) ] )
% 0.78/1.17 , 0, clause( 135, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( normal( a
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 245, [ ~( 'a_truth'( normal( a ) ) ), answer(
% 0.78/1.17 'a_normal_b_truthteller' ) ] )
% 0.78/1.17 , clause( 244, [ ~( 'a_truth'( normal( a ) ) ), answer(
% 0.78/1.17 'a_normal_b_truthteller' ), ~( 'a_truth'( normal( a ) ) ) ] )
% 0.78/1.17 , 0, 2, substitution( 0, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 246, [ ~( 'a_truth'( normal( a ) ) ) ] )
% 0.78/1.17 , clause( 31, [ ~( answer( X ) ) ] )
% 0.78/1.17 , 0, clause( 245, [ ~( 'a_truth'( normal( a ) ) ), answer(
% 0.78/1.17 'a_normal_b_truthteller' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'a_normal_b_truthteller' )] ),
% 0.78/1.17 substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 146, [ ~( 'a_truth'( normal( a ) ) ) ] )
% 0.78/1.17 , clause( 246, [ ~( 'a_truth'( normal( a ) ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 247, [ 'a_truth'( liar( a ) ) ] )
% 0.78/1.17 , clause( 146, [ ~( 'a_truth'( normal( a ) ) ) ] )
% 0.78/1.17 , 0, clause( 103, [ 'a_truth'( liar( a ) ), 'a_truth'( normal( a ) ) ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 248, [] )
% 0.78/1.17 , clause( 128, [ ~( 'a_truth'( liar( a ) ) ) ] )
% 0.78/1.17 , 0, clause( 247, [ 'a_truth'( liar( a ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 147, [] )
% 0.78/1.17 , clause( 248, [] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 end.
% 0.78/1.17
% 0.78/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.17
% 0.78/1.17 Memory use:
% 0.78/1.17
% 0.78/1.17 space for terms: 2822
% 0.78/1.17 space for clauses: 6542
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 clauses generated: 183
% 0.78/1.17 clauses kept: 148
% 0.78/1.17 clauses selected: 38
% 0.78/1.17 clauses deleted: 6
% 0.78/1.17 clauses inuse deleted: 0
% 0.78/1.17
% 0.78/1.17 subsentry: 287
% 0.78/1.17 literals s-matched: 215
% 0.78/1.17 literals matched: 215
% 0.78/1.17 full subsumption: 117
% 0.78/1.17
% 0.78/1.17 checksum: 551686795
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Bliksem ended
%------------------------------------------------------------------------------