TSTP Solution File: PUZ026-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ026-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 0.72s 1.10s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat May 28 19:13:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.10 *** allocated 10000 integers for termspace/termends
% 0.72/1.10 *** allocated 10000 integers for clauses
% 0.72/1.10 *** allocated 10000 integers for justifications
% 0.72/1.10 Bliksem 1.12
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Automatic Strategy Selection
% 0.72/1.10
% 0.72/1.10 Clauses:
% 0.72/1.10 [
% 0.72/1.10 [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ), 'a_truth'(
% 0.72/1.10 normal( X ) ) ],
% 0.72/1.10 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( normal( X ) ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X ) ) ) ],
% 0.72/1.10 [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( normal( X ) ) ) ],
% 0.72/1.10 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ),
% 0.72/1.10 'a_truth'( Y ) ],
% 0.72/1.10 [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ), ~(
% 0.72/1.10 'a_truth'( Y ) ) ],
% 0.72/1.10 [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.72/1.10 truthteller( Y ) ), 'a_truth'( normal( Y ) ) ],
% 0.72/1.10 [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'( liar( Y ) )
% 0.72/1.10 , 'a_truth'( normal( Y ) ) ],
% 0.72/1.10 [ ~( 'a_truth'( 'not_normal'( X ) ) ), ~( 'a_truth'( normal( X ) ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ 'a_truth'( 'not_normal'( X ) ), 'a_truth'( normal( X ) ) ],
% 0.72/1.10 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) ), ~(
% 0.72/1.10 'a_truth'( truthteller( Y ) ) ) ],
% 0.72/1.10 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) ), ~(
% 0.72/1.10 'a_truth'( truthteller( Z ) ) ) ],
% 0.72/1.10 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'(
% 0.72/1.10 liar( Y ) ) ) ],
% 0.72/1.10 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'(
% 0.72/1.10 liar( Z ) ) ) ],
% 0.72/1.10 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'(
% 0.72/1.10 normal( Y ) ) ) ],
% 0.72/1.10 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'(
% 0.72/1.10 normal( Z ) ) ) ],
% 0.72/1.10 [ people( a, b, c ) ],
% 0.72/1.10 [ people( b, c, a ) ],
% 0.72/1.10 [ people( c, b, a ) ],
% 0.72/1.10 [ 'a_truth'( says( a, normal( a ) ) ) ],
% 0.72/1.10 [ 'a_truth'( says( b, normal( a ) ) ) ],
% 0.72/1.10 [ 'a_truth'( says( c, 'not_normal'( c ) ) ) ],
% 0.72/1.10 [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( normal( Y ) ) ), ~(
% 0.72/1.10 'a_truth'( truthteller( Z ) ) ) ]
% 0.72/1.10 ] .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 percentage equality = 0.000000, percentage horn = 0.826087
% 0.72/1.10 This a non-horn, non-equality problem
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Options Used:
% 0.72/1.10
% 0.72/1.10 useres = 1
% 0.72/1.10 useparamod = 0
% 0.72/1.10 useeqrefl = 0
% 0.72/1.10 useeqfact = 0
% 0.72/1.10 usefactor = 1
% 0.72/1.10 usesimpsplitting = 0
% 0.72/1.10 usesimpdemod = 0
% 0.72/1.10 usesimpres = 3
% 0.72/1.10
% 0.72/1.10 resimpinuse = 1000
% 0.72/1.10 resimpclauses = 20000
% 0.72/1.10 substype = standard
% 0.72/1.10 backwardsubs = 1
% 0.72/1.10 selectoldest = 5
% 0.72/1.10
% 0.72/1.10 litorderings [0] = split
% 0.72/1.10 litorderings [1] = liftord
% 0.72/1.10
% 0.72/1.10 termordering = none
% 0.72/1.10
% 0.72/1.10 litapriori = 1
% 0.72/1.10 termapriori = 0
% 0.72/1.10 litaposteriori = 0
% 0.72/1.10 termaposteriori = 0
% 0.72/1.10 demodaposteriori = 0
% 0.72/1.10 ordereqreflfact = 0
% 0.72/1.10
% 0.72/1.10 litselect = none
% 0.72/1.10
% 0.72/1.10 maxweight = 15
% 0.72/1.10 maxdepth = 30000
% 0.72/1.10 maxlength = 115
% 0.72/1.10 maxnrvars = 195
% 0.72/1.10 excuselevel = 1
% 0.72/1.10 increasemaxweight = 1
% 0.72/1.10
% 0.72/1.10 maxselected = 10000000
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10
% 0.72/1.10 showgenerated = 0
% 0.72/1.10 showkept = 0
% 0.72/1.10 showselected = 0
% 0.72/1.10 showdeleted = 0
% 0.72/1.10 showresimp = 1
% 0.72/1.10 showstatus = 2000
% 0.72/1.10
% 0.72/1.10 prologoutput = 1
% 0.72/1.10 nrgoals = 5000000
% 0.72/1.10 totalproof = 1
% 0.72/1.10
% 0.72/1.10 Symbols occurring in the translation:
% 0.72/1.10
% 0.72/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.10 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.10 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.72/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 truthteller [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.10 'a_truth' [41, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.10 liar [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.10 normal [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.10 says [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.10 'not_normal' [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.10 people [48, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.10 a [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.10 b [50, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.10 c [51, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksems!, er is een bewijs:
% 0.72/1.10 % SZS status Unsatisfiable
% 0.72/1.10 % SZS output start Refutation
% 0.72/1.10
% 0.72/1.10 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ),
% 0.72/1.10 'a_truth'( normal( X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 1, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( normal( X )
% 0.72/1.10 ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 4, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( Y ), ~(
% 0.72/1.10 'a_truth'( says( X, Y ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 5, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.72/1.10 says( X, Y ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 6, [ 'a_truth'( normal( Y ) ), 'a_truth'( truthteller( Y ) ), ~(
% 0.72/1.10 'a_truth'( says( Y, X ) ) ), ~( 'a_truth'( X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 7, [ 'a_truth'( normal( Y ) ), 'a_truth'( liar( Y ) ), ~( 'a_truth'(
% 0.72/1.10 says( Y, X ) ) ), 'a_truth'( X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 8, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( 'not_normal'( X )
% 0.72/1.10 ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 9, [ 'a_truth'( normal( X ) ), 'a_truth'( 'not_normal'( X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 10, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( truthteller(
% 0.72/1.10 Y ) ) ), ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 12, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( liar( Y ) ) ), ~(
% 0.72/1.10 people( X, Y, Z ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 14, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( normal( Y ) ) )
% 0.72/1.10 , ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 15, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( normal( Z ) ) )
% 0.72/1.10 , ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 16, [ people( a, b, c ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 17, [ people( b, c, a ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 19, [ 'a_truth'( says( a, normal( a ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 20, [ 'a_truth'( says( b, normal( a ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 21, [ 'a_truth'( says( c, 'not_normal'( c ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 22, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Z ) )
% 0.72/1.10 ), ~( 'a_truth'( normal( Y ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 37, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 38, [ ~( 'a_truth'( truthteller( b ) ) ), 'a_truth'( normal( a ) )
% 0.72/1.10 ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 55, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( normal( a ) ) ) ]
% 0.72/1.10 )
% 0.72/1.10 .
% 0.72/1.10 clause( 61, [ 'a_truth'( liar( a ) ), ~( 'a_truth'( liar( b ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 75, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( 'not_normal'( c
% 0.72/1.10 ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 79, [ 'a_truth'( truthteller( c ) ), 'a_truth'( normal( c ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 100, [ 'a_truth'( liar( a ) ), 'a_truth'( normal( a ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 101, [ 'a_truth'( liar( b ) ), 'a_truth'( normal( a ) ), 'a_truth'(
% 0.72/1.10 normal( b ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 111, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( c ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 125, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 132, [ ~( 'a_truth'( truthteller( Y ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ), ~( 'a_truth'( liar( X ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 150, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 151, [ ~( 'a_truth'( normal( b ) ) ), ~( 'a_truth'( normal( c ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 154, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( normal( a ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 155, [ 'a_truth'( truthteller( b ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 163, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( normal( b ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 165, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( c ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 167, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( normal( a ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 169, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 171, [ ~( 'a_truth'( truthteller( b ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 175, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 182, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 183, [ 'a_truth'( truthteller( c ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 192, [ 'a_truth'( normal( a ) ), 'a_truth'( normal( b ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 193, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y )
% 0.72/1.10 ) ), 'a_truth'( normal( a ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 198, [ ~( 'a_truth'( truthteller( Y ) ) ), ~( 'a_truth'( liar( X )
% 0.72/1.10 ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 199, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 200, [] )
% 0.72/1.10 .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 % SZS output end Refutation
% 0.72/1.10 found a proof!
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 initialclauses(
% 0.72/1.10 [ clause( 202, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ),
% 0.72/1.10 'a_truth'( normal( X ) ) ] )
% 0.72/1.10 , clause( 203, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( normal(
% 0.72/1.10 X ) ) ) ] )
% 0.72/1.10 , clause( 204, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X
% 0.72/1.10 ) ) ) ] )
% 0.72/1.10 , clause( 205, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( normal( X ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 206, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X
% 0.72/1.10 , Y ) ) ), 'a_truth'( Y ) ] )
% 0.72/1.10 , clause( 207, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) )
% 0.72/1.10 ), ~( 'a_truth'( Y ) ) ] )
% 0.72/1.10 , clause( 208, [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.72/1.10 'a_truth'( truthteller( Y ) ), 'a_truth'( normal( Y ) ) ] )
% 0.72/1.10 , clause( 209, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.72/1.10 liar( Y ) ), 'a_truth'( normal( Y ) ) ] )
% 0.72/1.10 , clause( 210, [ ~( 'a_truth'( 'not_normal'( X ) ) ), ~( 'a_truth'( normal(
% 0.72/1.10 X ) ) ) ] )
% 0.72/1.10 , clause( 211, [ 'a_truth'( 'not_normal'( X ) ), 'a_truth'( normal( X ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 212, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) )
% 0.72/1.10 , ~( 'a_truth'( truthteller( Y ) ) ) ] )
% 0.72/1.10 , clause( 213, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) )
% 0.72/1.10 , ~( 'a_truth'( truthteller( Z ) ) ) ] )
% 0.72/1.10 , clause( 214, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( liar( X ) ) ), ~(
% 0.72/1.10 'a_truth'( liar( Y ) ) ) ] )
% 0.72/1.10 , clause( 215, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( liar( X ) ) ), ~(
% 0.72/1.10 'a_truth'( liar( Z ) ) ) ] )
% 0.72/1.10 , clause( 216, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( normal( X ) ) ), ~(
% 0.72/1.10 'a_truth'( normal( Y ) ) ) ] )
% 0.72/1.10 , clause( 217, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( normal( X ) ) ), ~(
% 0.72/1.10 'a_truth'( normal( Z ) ) ) ] )
% 0.72/1.10 , clause( 218, [ people( a, b, c ) ] )
% 0.72/1.10 , clause( 219, [ people( b, c, a ) ] )
% 0.72/1.10 , clause( 220, [ people( c, b, a ) ] )
% 0.72/1.10 , clause( 221, [ 'a_truth'( says( a, normal( a ) ) ) ] )
% 0.72/1.10 , clause( 222, [ 'a_truth'( says( b, normal( a ) ) ) ] )
% 0.72/1.10 , clause( 223, [ 'a_truth'( says( c, 'not_normal'( c ) ) ) ] )
% 0.72/1.10 , clause( 224, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( normal( Y ) ) )
% 0.72/1.10 , ~( 'a_truth'( truthteller( Z ) ) ) ] )
% 0.72/1.10 ] ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ),
% 0.72/1.10 'a_truth'( normal( X ) ) ] )
% 0.72/1.10 , clause( 202, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ),
% 0.72/1.10 'a_truth'( normal( X ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.10 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 1, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( normal( X )
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , clause( 203, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( normal(
% 0.72/1.10 X ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.10 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 4, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( Y ), ~(
% 0.72/1.10 'a_truth'( says( X, Y ) ) ) ] )
% 0.72/1.10 , clause( 206, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X
% 0.72/1.10 , Y ) ) ), 'a_truth'( Y ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.10 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 5, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.72/1.10 says( X, Y ) ) ) ] )
% 0.72/1.10 , clause( 207, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) )
% 0.72/1.10 ), ~( 'a_truth'( Y ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.10 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 6, [ 'a_truth'( normal( Y ) ), 'a_truth'( truthteller( Y ) ), ~(
% 0.72/1.10 'a_truth'( says( Y, X ) ) ), ~( 'a_truth'( X ) ) ] )
% 0.72/1.10 , clause( 208, [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.72/1.10 'a_truth'( truthteller( Y ) ), 'a_truth'( normal( Y ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.72/1.10 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 7, [ 'a_truth'( normal( Y ) ), 'a_truth'( liar( Y ) ), ~( 'a_truth'(
% 0.72/1.10 says( Y, X ) ) ), 'a_truth'( X ) ] )
% 0.72/1.10 , clause( 209, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.72/1.10 liar( Y ) ), 'a_truth'( normal( Y ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.72/1.10 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 8, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( 'not_normal'( X )
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , clause( 210, [ ~( 'a_truth'( 'not_normal'( X ) ) ), ~( 'a_truth'( normal(
% 0.72/1.10 X ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.10 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 9, [ 'a_truth'( normal( X ) ), 'a_truth'( 'not_normal'( X ) ) ] )
% 0.72/1.10 , clause( 211, [ 'a_truth'( 'not_normal'( X ) ), 'a_truth'( normal( X ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.10 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 10, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( truthteller(
% 0.72/1.10 Y ) ) ), ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 , clause( 212, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) )
% 0.72/1.10 , ~( 'a_truth'( truthteller( Y ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 12, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( liar( Y ) ) ), ~(
% 0.72/1.10 people( X, Y, Z ) ) ] )
% 0.72/1.10 , clause( 214, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( liar( X ) ) ), ~(
% 0.72/1.10 'a_truth'( liar( Y ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 14, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( normal( Y ) ) )
% 0.72/1.10 , ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 , clause( 216, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( normal( X ) ) ), ~(
% 0.72/1.10 'a_truth'( normal( Y ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 15, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( normal( Z ) ) )
% 0.72/1.10 , ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 , clause( 217, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( normal( X ) ) ), ~(
% 0.72/1.10 'a_truth'( normal( Z ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 16, [ people( a, b, c ) ] )
% 0.72/1.10 , clause( 218, [ people( a, b, c ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 17, [ people( b, c, a ) ] )
% 0.72/1.10 , clause( 219, [ people( b, c, a ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 19, [ 'a_truth'( says( a, normal( a ) ) ) ] )
% 0.72/1.10 , clause( 221, [ 'a_truth'( says( a, normal( a ) ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 20, [ 'a_truth'( says( b, normal( a ) ) ) ] )
% 0.72/1.10 , clause( 222, [ 'a_truth'( says( b, normal( a ) ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 21, [ 'a_truth'( says( c, 'not_normal'( c ) ) ) ] )
% 0.72/1.10 , clause( 223, [ 'a_truth'( says( c, 'not_normal'( c ) ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 22, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Z ) )
% 0.72/1.10 ), ~( 'a_truth'( normal( Y ) ) ) ] )
% 0.72/1.10 , clause( 224, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( normal( Y ) ) )
% 0.72/1.10 , ~( 'a_truth'( truthteller( Z ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 317, [ ~( 'a_truth'( truthteller( a ) ) ), 'a_truth'( normal( a ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 4, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( Y ), ~(
% 0.72/1.10 'a_truth'( says( X, Y ) ) ) ] )
% 0.72/1.10 , 2, clause( 19, [ 'a_truth'( says( a, normal( a ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, normal( a ) )] ), substitution(
% 0.72/1.10 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 318, [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( a ) ) ) ] )
% 0.72/1.10 , clause( 1, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( normal( X
% 0.72/1.10 ) ) ) ] )
% 0.72/1.10 , 1, clause( 317, [ ~( 'a_truth'( truthteller( a ) ) ), 'a_truth'( normal(
% 0.72/1.10 a ) ) ] )
% 0.72/1.10 , 1, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 factor(
% 0.72/1.10 clause( 319, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.72/1.10 , clause( 318, [ ~( 'a_truth'( truthteller( a ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( a ) ) ) ] )
% 0.72/1.10 , 0, 1, substitution( 0, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 37, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.72/1.10 , clause( 319, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 320, [ ~( 'a_truth'( truthteller( b ) ) ), 'a_truth'( normal( a ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 4, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( Y ), ~(
% 0.72/1.10 'a_truth'( says( X, Y ) ) ) ] )
% 0.72/1.10 , 2, clause( 20, [ 'a_truth'( says( b, normal( a ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, b ), :=( Y, normal( a ) )] ), substitution(
% 0.72/1.10 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 38, [ ~( 'a_truth'( truthteller( b ) ) ), 'a_truth'( normal( a ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 320, [ ~( 'a_truth'( truthteller( b ) ) ), 'a_truth'( normal( a )
% 0.72/1.10 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 322, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( normal( a ) ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 5, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.72/1.10 'a_truth'( says( X, Y ) ) ) ] )
% 0.72/1.10 , 2, clause( 20, [ 'a_truth'( says( b, normal( a ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, b ), :=( Y, normal( a ) )] ), substitution(
% 0.72/1.10 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 55, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( normal( a ) ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 322, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( normal( a ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 324, [ ~( 'a_truth'( liar( b ) ) ), 'a_truth'( truthteller( a ) ),
% 0.72/1.10 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , clause( 55, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( normal( a ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , 1, clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ),
% 0.72/1.10 'a_truth'( normal( X ) ) ] )
% 0.72/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 325, [ ~( 'a_truth'( liar( b ) ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , clause( 37, [ ~( 'a_truth'( truthteller( a ) ) ) ] )
% 0.72/1.10 , 0, clause( 324, [ ~( 'a_truth'( liar( b ) ) ), 'a_truth'( truthteller( a
% 0.72/1.10 ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 61, [ 'a_truth'( liar( a ) ), ~( 'a_truth'( liar( b ) ) ) ] )
% 0.72/1.10 , clause( 325, [ ~( 'a_truth'( liar( b ) ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 326, [ 'a_truth'( normal( c ) ), 'a_truth'( truthteller( c ) ), ~(
% 0.72/1.10 'a_truth'( 'not_normal'( c ) ) ) ] )
% 0.72/1.10 , clause( 6, [ 'a_truth'( normal( Y ) ), 'a_truth'( truthteller( Y ) ), ~(
% 0.72/1.10 'a_truth'( says( Y, X ) ) ), ~( 'a_truth'( X ) ) ] )
% 0.72/1.10 , 2, clause( 21, [ 'a_truth'( says( c, 'not_normal'( c ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 'not_normal'( c ) ), :=( Y, c )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 328, [ ~( 'a_truth'( 'not_normal'( c ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ), ~( 'a_truth'( 'not_normal'( c ) ) ) ] )
% 0.72/1.10 , clause( 8, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( 'not_normal'( X
% 0.72/1.10 ) ) ) ] )
% 0.72/1.10 , 0, clause( 326, [ 'a_truth'( normal( c ) ), 'a_truth'( truthteller( c ) )
% 0.72/1.10 , ~( 'a_truth'( 'not_normal'( c ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 factor(
% 0.72/1.10 clause( 329, [ ~( 'a_truth'( 'not_normal'( c ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ) ] )
% 0.72/1.10 , clause( 328, [ ~( 'a_truth'( 'not_normal'( c ) ) ), 'a_truth'(
% 0.72/1.10 truthteller( c ) ), ~( 'a_truth'( 'not_normal'( c ) ) ) ] )
% 0.72/1.10 , 0, 2, substitution( 0, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 75, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( 'not_normal'( c
% 0.72/1.10 ) ) ) ] )
% 0.72/1.10 , clause( 329, [ ~( 'a_truth'( 'not_normal'( c ) ) ), 'a_truth'(
% 0.72/1.10 truthteller( c ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 330, [ 'a_truth'( truthteller( c ) ), 'a_truth'( normal( c ) ) ] )
% 0.72/1.10 , clause( 75, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( 'not_normal'(
% 0.72/1.10 c ) ) ) ] )
% 0.72/1.10 , 1, clause( 9, [ 'a_truth'( normal( X ) ), 'a_truth'( 'not_normal'( X ) )
% 0.72/1.10 ] )
% 0.72/1.10 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 79, [ 'a_truth'( truthteller( c ) ), 'a_truth'( normal( c ) ) ] )
% 0.72/1.10 , clause( 330, [ 'a_truth'( truthteller( c ) ), 'a_truth'( normal( c ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 331, [ 'a_truth'( normal( a ) ), 'a_truth'( liar( a ) ), 'a_truth'(
% 0.72/1.10 normal( a ) ) ] )
% 0.72/1.10 , clause( 7, [ 'a_truth'( normal( Y ) ), 'a_truth'( liar( Y ) ), ~(
% 0.72/1.10 'a_truth'( says( Y, X ) ) ), 'a_truth'( X ) ] )
% 0.72/1.10 , 2, clause( 19, [ 'a_truth'( says( a, normal( a ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, normal( a ) ), :=( Y, a )] ), substitution(
% 0.72/1.10 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 factor(
% 0.72/1.10 clause( 332, [ 'a_truth'( normal( a ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , clause( 331, [ 'a_truth'( normal( a ) ), 'a_truth'( liar( a ) ),
% 0.72/1.10 'a_truth'( normal( a ) ) ] )
% 0.72/1.10 , 0, 2, substitution( 0, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 100, [ 'a_truth'( liar( a ) ), 'a_truth'( normal( a ) ) ] )
% 0.72/1.10 , clause( 332, [ 'a_truth'( normal( a ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 333, [ 'a_truth'( normal( b ) ), 'a_truth'( liar( b ) ), 'a_truth'(
% 0.72/1.10 normal( a ) ) ] )
% 0.72/1.10 , clause( 7, [ 'a_truth'( normal( Y ) ), 'a_truth'( liar( Y ) ), ~(
% 0.72/1.10 'a_truth'( says( Y, X ) ) ), 'a_truth'( X ) ] )
% 0.72/1.10 , 2, clause( 20, [ 'a_truth'( says( b, normal( a ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, normal( a ) ), :=( Y, b )] ), substitution(
% 0.72/1.10 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 101, [ 'a_truth'( liar( b ) ), 'a_truth'( normal( a ) ), 'a_truth'(
% 0.72/1.10 normal( b ) ) ] )
% 0.72/1.10 , clause( 333, [ 'a_truth'( normal( b ) ), 'a_truth'( liar( b ) ),
% 0.72/1.10 'a_truth'( normal( a ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.10 , 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 334, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( c ) ) ) ] )
% 0.72/1.10 , clause( 10, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( Y ) ) ), ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 , 2, clause( 17, [ people( b, c, a ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, a )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 111, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( c ) ) ) ] )
% 0.72/1.10 , clause( 334, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( c ) ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 335, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 12, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( liar( Y ) ) ),
% 0.72/1.10 ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 , 2, clause( 16, [ people( a, b, c ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 336, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 335, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , 0, clause( 61, [ 'a_truth'( liar( a ) ), ~( 'a_truth'( liar( b ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 factor(
% 0.72/1.10 clause( 337, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.72/1.10 , clause( 336, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , 0, 1, substitution( 0, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 125, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.72/1.10 , clause( 337, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 339, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y )
% 0.72/1.10 ) ), 'a_truth'( truthteller( c ) ) ] )
% 0.72/1.10 , clause( 22, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Z )
% 0.72/1.10 ) ), ~( 'a_truth'( normal( Y ) ) ) ] )
% 0.72/1.10 , 2, clause( 79, [ 'a_truth'( truthteller( c ) ), 'a_truth'( normal( c ) )
% 0.72/1.10 ] )
% 0.72/1.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, Y )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 132, [ ~( 'a_truth'( truthteller( Y ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ), ~( 'a_truth'( liar( X ) ) ) ] )
% 0.72/1.10 , clause( 339, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y
% 0.72/1.10 ) ) ), 'a_truth'( truthteller( c ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.72/1.10 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 340, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 14, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( normal( Y ) )
% 0.72/1.10 ), ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 , 2, clause( 16, [ people( a, b, c ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 150, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 340, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 341, [ ~( 'a_truth'( normal( b ) ) ), ~( 'a_truth'( normal( c ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 14, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( normal( Y ) )
% 0.72/1.10 ), ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 , 2, clause( 17, [ people( b, c, a ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, a )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 151, [ ~( 'a_truth'( normal( b ) ) ), ~( 'a_truth'( normal( c ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 341, [ ~( 'a_truth'( normal( b ) ) ), ~( 'a_truth'( normal( c ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 343, [ ~( 'a_truth'( normal( a ) ) ), 'a_truth'( truthteller( b ) )
% 0.72/1.10 , 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 , clause( 150, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( b ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , 1, clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ),
% 0.72/1.10 'a_truth'( normal( X ) ) ] )
% 0.72/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 344, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( a ) ) )
% 0.72/1.10 , 'a_truth'( truthteller( b ) ) ] )
% 0.72/1.10 , clause( 55, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( normal( a ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , 0, clause( 343, [ ~( 'a_truth'( normal( a ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 b ) ), 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 factor(
% 0.72/1.10 clause( 345, [ ~( 'a_truth'( normal( a ) ) ), 'a_truth'( truthteller( b ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 344, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( a ) )
% 0.72/1.10 ), 'a_truth'( truthteller( b ) ) ] )
% 0.72/1.10 , 0, 1, substitution( 0, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 154, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( normal( a ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 345, [ ~( 'a_truth'( normal( a ) ) ), 'a_truth'( truthteller( b )
% 0.72/1.10 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 346, [ 'a_truth'( truthteller( b ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , clause( 154, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( normal( a ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , 1, clause( 100, [ 'a_truth'( liar( a ) ), 'a_truth'( normal( a ) ) ] )
% 0.72/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 155, [ 'a_truth'( truthteller( b ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , clause( 346, [ 'a_truth'( truthteller( b ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 347, [ ~( 'a_truth'( normal( b ) ) ), 'a_truth'( truthteller( c ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 151, [ ~( 'a_truth'( normal( b ) ) ), ~( 'a_truth'( normal( c ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , 1, clause( 79, [ 'a_truth'( truthteller( c ) ), 'a_truth'( normal( c ) )
% 0.72/1.10 ] )
% 0.72/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 163, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( normal( b ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 347, [ ~( 'a_truth'( normal( b ) ) ), 'a_truth'( truthteller( c )
% 0.72/1.10 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 348, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( c ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 15, [ ~( 'a_truth'( normal( X ) ) ), ~( 'a_truth'( normal( Z ) )
% 0.72/1.10 ), ~( people( X, Y, Z ) ) ] )
% 0.72/1.10 , 2, clause( 16, [ people( a, b, c ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 165, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( c ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 348, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( c ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 349, [ ~( 'a_truth'( normal( a ) ) ), 'a_truth'( truthteller( c ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 165, [ ~( 'a_truth'( normal( a ) ) ), ~( 'a_truth'( normal( c ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , 1, clause( 79, [ 'a_truth'( truthteller( c ) ), 'a_truth'( normal( c ) )
% 0.72/1.10 ] )
% 0.72/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 167, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( normal( a ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 349, [ ~( 'a_truth'( normal( a ) ) ), 'a_truth'( truthteller( c )
% 0.72/1.10 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 350, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , clause( 167, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( normal( a ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , 1, clause( 100, [ 'a_truth'( liar( a ) ), 'a_truth'( normal( a ) ) ] )
% 0.72/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 169, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , clause( 350, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( a ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 351, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( truthteller( b
% 0.72/1.10 ) ) ) ] )
% 0.72/1.10 , clause( 167, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( normal( a ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , 1, clause( 38, [ ~( 'a_truth'( truthteller( b ) ) ), 'a_truth'( normal( a
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 352, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( b ) ) ) ] )
% 0.72/1.10 , clause( 111, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( c ) ) ) ] )
% 0.72/1.10 , 1, clause( 351, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( b ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 factor(
% 0.72/1.10 clause( 353, [ ~( 'a_truth'( truthteller( b ) ) ) ] )
% 0.72/1.10 , clause( 352, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.72/1.10 truthteller( b ) ) ) ] )
% 0.72/1.10 , 0, 1, substitution( 0, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 171, [ ~( 'a_truth'( truthteller( b ) ) ) ] )
% 0.72/1.10 , clause( 353, [ ~( 'a_truth'( truthteller( b ) ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 355, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ), 'a_truth'( truthteller( c ) ) ] )
% 0.72/1.10 , clause( 132, [ ~( 'a_truth'( truthteller( Y ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ), ~( 'a_truth'( liar( X ) ) ) ] )
% 0.72/1.10 , 2, clause( 169, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( a ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , 1, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 factor(
% 0.72/1.10 clause( 356, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ) ] )
% 0.72/1.10 , clause( 355, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ), 'a_truth'( truthteller( c ) ) ] )
% 0.72/1.10 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 175, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ) ] )
% 0.72/1.10 , clause( 356, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.10 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 357, [ 'a_truth'( truthteller( c ) ), 'a_truth'( truthteller( b ) )
% 0.72/1.10 , 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 , clause( 163, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( normal( b ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , 1, clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ),
% 0.72/1.10 'a_truth'( normal( X ) ) ] )
% 0.72/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 359, [ 'a_truth'( truthteller( c ) ), 'a_truth'( truthteller( c ) )
% 0.72/1.10 , 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 , clause( 175, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller(
% 0.72/1.10 c ) ) ] )
% 0.72/1.10 , 0, clause( 357, [ 'a_truth'( truthteller( c ) ), 'a_truth'( truthteller(
% 0.72/1.10 b ) ), 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 , 1, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 factor(
% 0.72/1.10 clause( 360, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 , clause( 359, [ 'a_truth'( truthteller( c ) ), 'a_truth'( truthteller( c )
% 0.72/1.10 ), 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 , 0, 1, substitution( 0, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 182, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 , clause( 360, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( b ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 361, [ 'a_truth'( truthteller( c ) ) ] )
% 0.72/1.10 , clause( 125, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.72/1.10 , 0, clause( 182, [ 'a_truth'( truthteller( c ) ), 'a_truth'( liar( b ) ) ]
% 0.72/1.10 )
% 0.72/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 183, [ 'a_truth'( truthteller( c ) ) ] )
% 0.72/1.10 , clause( 361, [ 'a_truth'( truthteller( c ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 362, [ 'a_truth'( normal( a ) ), 'a_truth'( normal( b ) ) ] )
% 0.72/1.10 , clause( 125, [ ~( 'a_truth'( liar( b ) ) ) ] )
% 0.72/1.10 , 0, clause( 101, [ 'a_truth'( liar( b ) ), 'a_truth'( normal( a ) ),
% 0.72/1.10 'a_truth'( normal( b ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 192, [ 'a_truth'( normal( a ) ), 'a_truth'( normal( b ) ) ] )
% 0.72/1.10 , clause( 362, [ 'a_truth'( normal( a ) ), 'a_truth'( normal( b ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 364, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y )
% 0.72/1.10 ) ), 'a_truth'( normal( a ) ) ] )
% 0.72/1.10 , clause( 22, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Z )
% 0.72/1.10 ) ), ~( 'a_truth'( normal( Y ) ) ) ] )
% 0.72/1.11 , 2, clause( 192, [ 'a_truth'( normal( a ) ), 'a_truth'( normal( b ) ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, X ), :=( Y, b ), :=( Z, Y )] ),
% 0.72/1.11 substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 193, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y )
% 0.72/1.11 ) ), 'a_truth'( normal( a ) ) ] )
% 0.72/1.11 , clause( 364, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y
% 0.72/1.11 ) ) ), 'a_truth'( normal( a ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 366, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( X ) ) ),
% 0.72/1.11 ~( 'a_truth'( truthteller( Y ) ) ) ] )
% 0.72/1.11 , clause( 154, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( normal( a ) )
% 0.72/1.11 ) ] )
% 0.72/1.11 , 1, clause( 193, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller(
% 0.72/1.11 Y ) ) ), 'a_truth'( normal( a ) ) ] )
% 0.72/1.11 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 367, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y )
% 0.72/1.11 ) ) ] )
% 0.72/1.11 , clause( 171, [ ~( 'a_truth'( truthteller( b ) ) ) ] )
% 0.72/1.11 , 0, clause( 366, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( X )
% 0.72/1.11 ) ), ~( 'a_truth'( truthteller( Y ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 198, [ ~( 'a_truth'( truthteller( Y ) ) ), ~( 'a_truth'( liar( X )
% 0.72/1.11 ) ) ] )
% 0.72/1.11 , clause( 367, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y
% 0.72/1.11 ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.11 ), ==>( 1, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 369, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller(
% 0.72/1.11 b ) ) ] )
% 0.72/1.11 , clause( 198, [ ~( 'a_truth'( truthteller( Y ) ) ), ~( 'a_truth'( liar( X
% 0.72/1.11 ) ) ) ] )
% 0.72/1.11 , 1, clause( 155, [ 'a_truth'( truthteller( b ) ), 'a_truth'( liar( a ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 370, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.72/1.11 , clause( 171, [ ~( 'a_truth'( truthteller( b ) ) ) ] )
% 0.72/1.11 , 0, clause( 369, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'(
% 0.72/1.11 truthteller( b ) ) ] )
% 0.72/1.11 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 199, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.72/1.11 , clause( 370, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 371, [] )
% 0.72/1.11 , clause( 199, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.72/1.11 , 0, clause( 183, [ 'a_truth'( truthteller( c ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 200, [] )
% 0.72/1.11 , clause( 371, [] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 end.
% 0.72/1.11
% 0.72/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11
% 0.72/1.11 Memory use:
% 0.72/1.11
% 0.72/1.11 space for terms: 3051
% 0.72/1.11 space for clauses: 8816
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 clauses generated: 375
% 0.72/1.11 clauses kept: 201
% 0.72/1.11 clauses selected: 79
% 0.72/1.11 clauses deleted: 4
% 0.72/1.11 clauses inuse deleted: 0
% 0.72/1.11
% 0.72/1.11 subsentry: 498
% 0.72/1.11 literals s-matched: 325
% 0.72/1.11 literals matched: 325
% 0.72/1.11 full subsumption: 150
% 0.72/1.11
% 0.72/1.11 checksum: -1818348488
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksem ended
%------------------------------------------------------------------------------