TSTP Solution File: PUZ021-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ021-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 0.87s 1.29s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.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 21:42:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.87/1.29 *** allocated 10000 integers for termspace/termends
% 0.87/1.29 *** allocated 10000 integers for clauses
% 0.87/1.29 *** allocated 10000 integers for justifications
% 0.87/1.29 Bliksem 1.12
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Automatic Strategy Selection
% 0.87/1.29
% 0.87/1.29 Clauses:
% 0.87/1.29 [
% 0.87/1.29 [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( knave( X ), Y ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'a_truth'( knight( X ), Y ), 'a_truth'( knave( X ), Y ) ],
% 0.87/1.29 [ ~( 'a_truth'( rich( X ), Y ) ), ~( 'a_truth'( poor( X ), Y ) ) ],
% 0.87/1.29 [ 'a_truth'( rich( X ), Y ), 'a_truth'( poor( X ), Y ) ],
% 0.87/1.29 [ ~( 'a_truth'( knight( X ), Y ) ), ~( says( X, Z ) ), 'a_truth'( Z, Y )
% 0.87/1.29 ],
% 0.87/1.29 [ ~( 'a_truth'( knight( X ), Y ) ), says( X, Z ), ~( 'a_truth'( Z, Y ) )
% 0.87/1.29 ],
% 0.87/1.29 [ ~( 'a_truth'( knave( X ), Y ) ), ~( says( X, Z ) ), ~( 'a_truth'( Z, Y
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( 'a_truth'( knave( X ), Y ) ), says( X, Z ), 'a_truth'( Z, Y ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'a_truth'( and( X, Y ), Z ) ), 'a_truth'( X, Z ) ],
% 0.87/1.29 [ ~( 'a_truth'( and( X, Y ), Z ) ), 'a_truth'( Y, Z ) ],
% 0.87/1.29 [ 'a_truth'( and( X, Y ), Z ), ~( 'a_truth'( X, Z ) ), ~( 'a_truth'( Y,
% 0.87/1.29 Z ) ) ],
% 0.87/1.29 [ ~( says( me, X ) ), ~( 'a_truth'( and( knave( me ), rich( me ) ), X )
% 0.87/1.29 ) ],
% 0.87/1.29 [ says( me, X ), 'a_truth'( and( knave( me ), rich( me ) ), X ) ]
% 0.87/1.29 ] .
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 percentage equality = 0.000000, percentage horn = 0.692308
% 0.87/1.29 This a non-horn, non-equality problem
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Options Used:
% 0.87/1.29
% 0.87/1.29 useres = 1
% 0.87/1.29 useparamod = 0
% 0.87/1.29 useeqrefl = 0
% 0.87/1.29 useeqfact = 0
% 0.87/1.29 usefactor = 1
% 0.87/1.29 usesimpsplitting = 0
% 0.87/1.29 usesimpdemod = 0
% 0.87/1.29 usesimpres = 3
% 0.87/1.29
% 0.87/1.29 resimpinuse = 1000
% 0.87/1.29 resimpclauses = 20000
% 0.87/1.29 substype = standard
% 0.87/1.29 backwardsubs = 1
% 0.87/1.29 selectoldest = 5
% 0.87/1.29
% 0.87/1.29 litorderings [0] = split
% 0.87/1.29 litorderings [1] = liftord
% 0.87/1.29
% 0.87/1.29 termordering = none
% 0.87/1.29
% 0.87/1.29 litapriori = 1
% 0.87/1.29 termapriori = 0
% 0.87/1.29 litaposteriori = 0
% 0.87/1.29 termaposteriori = 0
% 0.87/1.29 demodaposteriori = 0
% 0.87/1.29 ordereqreflfact = 0
% 0.87/1.29
% 0.87/1.29 litselect = none
% 0.87/1.29
% 0.87/1.29 maxweight = 15
% 0.87/1.29 maxdepth = 30000
% 0.87/1.29 maxlength = 115
% 0.87/1.29 maxnrvars = 195
% 0.87/1.29 excuselevel = 1
% 0.87/1.29 increasemaxweight = 1
% 0.87/1.29
% 0.87/1.29 maxselected = 10000000
% 0.87/1.29 maxnrclauses = 10000000
% 0.87/1.29
% 0.87/1.29 showgenerated = 0
% 0.87/1.29 showkept = 0
% 0.87/1.29 showselected = 0
% 0.87/1.29 showdeleted = 0
% 0.87/1.29 showresimp = 1
% 0.87/1.29 showstatus = 2000
% 0.87/1.29
% 0.87/1.29 prologoutput = 1
% 0.87/1.29 nrgoals = 5000000
% 0.87/1.29 totalproof = 1
% 0.87/1.29
% 0.87/1.29 Symbols occurring in the translation:
% 0.87/1.29
% 0.87/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.29 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.87/1.29 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.87/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.29 knight [40, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.87/1.29 'a_truth' [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.87/1.29 knave [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.87/1.29 rich [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.87/1.29 poor [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.87/1.29 says [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.87/1.29 and [48, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.87/1.29 me [49, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Starting Search:
% 0.87/1.29
% 0.87/1.29 Resimplifying inuse:
% 0.87/1.29 Done
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Intermediate Status:
% 0.87/1.29 Generated: 18455
% 0.87/1.29 Kept: 2029
% 0.87/1.29 Inuse: 222
% 0.87/1.29 Deleted: 41
% 0.87/1.29 Deletedinuse: 31
% 0.87/1.29
% 0.87/1.29 Resimplifying inuse:
% 0.87/1.29 Done
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Bliksems!, er is een bewijs:
% 0.87/1.29 % SZS status Unsatisfiable
% 0.87/1.29 % SZS output start Refutation
% 0.87/1.29
% 0.87/1.29 clause( 0, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( knave( X ), Y
% 0.87/1.29 ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 1, [ 'a_truth'( knight( X ), Y ), 'a_truth'( knave( X ), Y ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 4, [ ~( 'a_truth'( knight( X ), Y ) ), 'a_truth'( Z, Y ), ~( says(
% 0.87/1.29 X, Z ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 5, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( Z, Y ) ), says(
% 0.87/1.29 X, Z ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 6, [ ~( 'a_truth'( knave( X ), Y ) ), ~( 'a_truth'( Z, Y ) ), ~(
% 0.87/1.29 says( X, Z ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 7, [ ~( 'a_truth'( knave( X ), Y ) ), 'a_truth'( Z, Y ), says( X, Z
% 0.87/1.29 ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 8, [ 'a_truth'( X, Z ), ~( 'a_truth'( and( X, Y ), Z ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 9, [ 'a_truth'( Y, Z ), ~( 'a_truth'( and( X, Y ), Z ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 11, [ ~( 'a_truth'( and( knave( me ), rich( me ) ), X ) ), ~( says(
% 0.87/1.29 me, X ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 12, [ 'a_truth'( and( knave( me ), rich( me ) ), X ), says( me, X )
% 0.87/1.29 ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 13, [ ~( 'a_truth'( knight( X ), Y ) ), says( X, knight( X ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 14, [ ~( 'a_truth'( knave( X ), Y ) ), ~( says( X, knave( X ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 .
% 0.87/1.29 clause( 23, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( and( knave( X
% 0.87/1.29 ), Z ), Y ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 35, [ 'a_truth'( Z, Y ), ~( 'a_truth'( knight( X ), T ) ),
% 0.87/1.29 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 36, [ ~( 'a_truth'( Z, Y ) ), ~( 'a_truth'( knave( X ), T ) ),
% 0.87/1.29 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 37, [ ~( 'a_truth'( Z, Y ) ), ~( 'a_truth'( knave( X ), T ) ), ~(
% 0.87/1.29 'a_truth'( Z, T ) ), ~( 'a_truth'( knight( X ), Y ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 138, [ ~( 'a_truth'( knight( me ), Y ) ), 'a_truth'( X, Y ),
% 0.87/1.29 'a_truth'( and( knave( me ), rich( me ) ), X ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 139, [ ~( 'a_truth'( knave( me ), X ) ), 'a_truth'( and( knave( me
% 0.87/1.29 ), rich( me ) ), knave( me ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 140, [ ~( 'a_truth'( knight( me ), and( knave( me ), rich( me ) ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 216, [ ~( 'a_truth'( knight( me ), knave( me ) ) ), ~( 'a_truth'(
% 0.87/1.29 knave( me ), X ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 221, [ 'a_truth'( knave( me ), knave( me ) ), ~( 'a_truth'( knave(
% 0.87/1.29 me ), X ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 235, [ 'a_truth'( knight( me ), X ), ~( 'a_truth'( knight( me ),
% 0.87/1.29 knave( me ) ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 242, [ ~( 'a_truth'( knight( me ), knave( me ) ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 257, [ ~( 'a_truth'( and( X, knight( me ) ), knave( me ) ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 274, [ ~( 'a_truth'( Y, Z ) ), 'a_truth'( Y, knave( me ) ), ~(
% 0.87/1.29 'a_truth'( knave( me ), Z ) ), ~( 'a_truth'( knave( me ), X ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 284, [ 'a_truth'( knight( me ), X ), 'a_truth'( knave( me ), knave(
% 0.87/1.29 me ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 288, [ 'a_truth'( X, knave( me ) ), ~( 'a_truth'( knave( me ), Y )
% 0.87/1.29 ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 290, [ 'a_truth'( knave( me ), knave( me ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 298, [ ~( 'a_truth'( X, knave( me ) ) ), ~( 'a_truth'( knight( me )
% 0.87/1.29 , Y ) ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 301, [ 'a_truth'( and( knave( me ), rich( me ) ), knave( me ) ) ]
% 0.87/1.29 )
% 0.87/1.29 .
% 0.87/1.29 clause( 302, [ ~( 'a_truth'( knight( me ), Y ) ), 'a_truth'( X, Y ),
% 0.87/1.29 'a_truth'( X, knave( me ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 323, [ 'a_truth'( rich( me ), knave( me ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 351, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( rich( me )
% 0.87/1.29 , X ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 388, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( and( rich(
% 0.87/1.29 me ), Y ), X ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 406, [ ~( 'a_truth'( knight( me ), X ) ), 'a_truth'( and( Y, knight(
% 0.87/1.29 me ) ), X ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 450, [ ~( 'a_truth'( knight( me ), X ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 977, [ ~( 'a_truth'( X, Y ) ), 'a_truth'( X, knave( me ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 1009, [ ~( 'a_truth'( Z, knave( me ) ) ), ~( 'a_truth'( knave( X )
% 0.87/1.29 , T ) ), 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 1046, [ ~( 'a_truth'( knave( Y ), Z ) ), 'a_truth'( X, Z ), ~(
% 0.87/1.29 'a_truth'( X, knave( me ) ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 1696, [ 'a_truth'( Z, Y ), ~( 'a_truth'( Z, T ) ), ~( 'a_truth'(
% 0.87/1.29 knave( X ), Y ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 1700, [ 'a_truth'( knave( me ), Y ), ~( 'a_truth'( knave( X ), Y )
% 0.87/1.29 ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 1737, [ 'a_truth'( knight( Y ), X ), 'a_truth'( knave( me ), X ) ]
% 0.87/1.29 )
% 0.87/1.29 .
% 0.87/1.29 clause( 1796, [ ~( 'a_truth'( X, Z ) ), 'a_truth'( knight( T ), Y ),
% 0.87/1.29 'a_truth'( X, Y ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 1840, [ 'a_truth'( X, Z ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 1934, [ 'a_truth'( and( knave( me ), rich( me ) ), X ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 1935, [ 'a_truth'( knave( me ), X ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 2054, [ ~( says( me, X ) ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 2055, [ 'a_truth'( Y, X ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 2056, [] )
% 0.87/1.29 .
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 % SZS output end Refutation
% 0.87/1.29 found a proof!
% 0.87/1.29
% 0.87/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.29
% 0.87/1.29 initialclauses(
% 0.87/1.29 [ clause( 2058, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( knave( X
% 0.87/1.29 ), Y ) ) ] )
% 0.87/1.29 , clause( 2059, [ 'a_truth'( knight( X ), Y ), 'a_truth'( knave( X ), Y ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 2060, [ ~( 'a_truth'( rich( X ), Y ) ), ~( 'a_truth'( poor( X ),
% 0.87/1.29 Y ) ) ] )
% 0.87/1.29 , clause( 2061, [ 'a_truth'( rich( X ), Y ), 'a_truth'( poor( X ), Y ) ] )
% 0.87/1.29 , clause( 2062, [ ~( 'a_truth'( knight( X ), Y ) ), ~( says( X, Z ) ),
% 0.87/1.29 'a_truth'( Z, Y ) ] )
% 0.87/1.29 , clause( 2063, [ ~( 'a_truth'( knight( X ), Y ) ), says( X, Z ), ~(
% 0.87/1.29 'a_truth'( Z, Y ) ) ] )
% 0.87/1.29 , clause( 2064, [ ~( 'a_truth'( knave( X ), Y ) ), ~( says( X, Z ) ), ~(
% 0.87/1.29 'a_truth'( Z, Y ) ) ] )
% 0.87/1.29 , clause( 2065, [ ~( 'a_truth'( knave( X ), Y ) ), says( X, Z ), 'a_truth'(
% 0.87/1.29 Z, Y ) ] )
% 0.87/1.29 , clause( 2066, [ ~( 'a_truth'( and( X, Y ), Z ) ), 'a_truth'( X, Z ) ] )
% 0.87/1.29 , clause( 2067, [ ~( 'a_truth'( and( X, Y ), Z ) ), 'a_truth'( Y, Z ) ] )
% 0.87/1.29 , clause( 2068, [ 'a_truth'( and( X, Y ), Z ), ~( 'a_truth'( X, Z ) ), ~(
% 0.87/1.29 'a_truth'( Y, Z ) ) ] )
% 0.87/1.29 , clause( 2069, [ ~( says( me, X ) ), ~( 'a_truth'( and( knave( me ), rich(
% 0.87/1.29 me ) ), X ) ) ] )
% 0.87/1.29 , clause( 2070, [ says( me, X ), 'a_truth'( and( knave( me ), rich( me ) )
% 0.87/1.29 , X ) ] )
% 0.87/1.29 ] ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 0, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( knave( X ), Y
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , clause( 2058, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( knave( X
% 0.87/1.29 ), Y ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.29 ), ==>( 1, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1, [ 'a_truth'( knight( X ), Y ), 'a_truth'( knave( X ), Y ) ] )
% 0.87/1.29 , clause( 2059, [ 'a_truth'( knight( X ), Y ), 'a_truth'( knave( X ), Y ) ]
% 0.87/1.29 )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.29 ), ==>( 1, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 4, [ ~( 'a_truth'( knight( X ), Y ) ), 'a_truth'( Z, Y ), ~( says(
% 0.87/1.29 X, Z ) ) ] )
% 0.87/1.29 , clause( 2062, [ ~( 'a_truth'( knight( X ), Y ) ), ~( says( X, Z ) ),
% 0.87/1.29 'a_truth'( Z, Y ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 5, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( Z, Y ) ), says(
% 0.87/1.29 X, Z ) ] )
% 0.87/1.29 , clause( 2063, [ ~( 'a_truth'( knight( X ), Y ) ), says( X, Z ), ~(
% 0.87/1.29 'a_truth'( Z, Y ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 6, [ ~( 'a_truth'( knave( X ), Y ) ), ~( 'a_truth'( Z, Y ) ), ~(
% 0.87/1.29 says( X, Z ) ) ] )
% 0.87/1.29 , clause( 2064, [ ~( 'a_truth'( knave( X ), Y ) ), ~( says( X, Z ) ), ~(
% 0.87/1.29 'a_truth'( Z, Y ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 7, [ ~( 'a_truth'( knave( X ), Y ) ), 'a_truth'( Z, Y ), says( X, Z
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 2065, [ ~( 'a_truth'( knave( X ), Y ) ), says( X, Z ), 'a_truth'(
% 0.87/1.29 Z, Y ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 8, [ 'a_truth'( X, Z ), ~( 'a_truth'( and( X, Y ), Z ) ) ] )
% 0.87/1.29 , clause( 2066, [ ~( 'a_truth'( and( X, Y ), Z ) ), 'a_truth'( X, Z ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 9, [ 'a_truth'( Y, Z ), ~( 'a_truth'( and( X, Y ), Z ) ) ] )
% 0.87/1.29 , clause( 2067, [ ~( 'a_truth'( and( X, Y ), Z ) ), 'a_truth'( Y, Z ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 11, [ ~( 'a_truth'( and( knave( me ), rich( me ) ), X ) ), ~( says(
% 0.87/1.29 me, X ) ) ] )
% 0.87/1.29 , clause( 2069, [ ~( says( me, X ) ), ~( 'a_truth'( and( knave( me ), rich(
% 0.87/1.29 me ) ), X ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.87/1.29 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 12, [ 'a_truth'( and( knave( me ), rich( me ) ), X ), says( me, X )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 2070, [ says( me, X ), 'a_truth'( and( knave( me ), rich( me ) )
% 0.87/1.29 , X ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.87/1.29 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 factor(
% 0.87/1.29 clause( 2086, [ ~( 'a_truth'( knight( X ), Y ) ), says( X, knight( X ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 5, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( Z, Y ) ),
% 0.87/1.29 says( X, Z ) ] )
% 0.87/1.29 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, knight( X ) )] )
% 0.87/1.29 ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 13, [ ~( 'a_truth'( knight( X ), Y ) ), says( X, knight( X ) ) ] )
% 0.87/1.29 , clause( 2086, [ ~( 'a_truth'( knight( X ), Y ) ), says( X, knight( X ) )
% 0.87/1.29 ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.29 ), ==>( 1, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 factor(
% 0.87/1.29 clause( 2087, [ ~( 'a_truth'( knave( X ), Y ) ), ~( says( X, knave( X ) ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 6, [ ~( 'a_truth'( knave( X ), Y ) ), ~( 'a_truth'( Z, Y ) ), ~(
% 0.87/1.29 says( X, Z ) ) ] )
% 0.87/1.29 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, knave( X ) )] )
% 0.87/1.29 ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 14, [ ~( 'a_truth'( knave( X ), Y ) ), ~( says( X, knave( X ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 2087, [ ~( 'a_truth'( knave( X ), Y ) ), ~( says( X, knave( X ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.29 ), ==>( 1, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2089, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( and( knave(
% 0.87/1.29 X ), Z ), Y ) ) ] )
% 0.87/1.29 , clause( 0, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( knave( X ),
% 0.87/1.29 Y ) ) ] )
% 0.87/1.29 , 1, clause( 8, [ 'a_truth'( X, Z ), ~( 'a_truth'( and( X, Y ), Z ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.87/1.29 , knave( X ) ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 23, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( and( knave( X
% 0.87/1.29 ), Z ), Y ) ) ] )
% 0.87/1.29 , clause( 2089, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( and(
% 0.87/1.29 knave( X ), Z ), Y ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2092, [ ~( 'a_truth'( knight( X ), Y ) ), 'a_truth'( Z, Y ), ~(
% 0.87/1.29 'a_truth'( knave( X ), T ) ), 'a_truth'( Z, T ) ] )
% 0.87/1.29 , clause( 4, [ ~( 'a_truth'( knight( X ), Y ) ), 'a_truth'( Z, Y ), ~( says(
% 0.87/1.29 X, Z ) ) ] )
% 0.87/1.29 , 2, clause( 7, [ ~( 'a_truth'( knave( X ), Y ) ), 'a_truth'( Z, Y ), says(
% 0.87/1.29 X, Z ) ] )
% 0.87/1.29 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, Z )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 35, [ 'a_truth'( Z, Y ), ~( 'a_truth'( knight( X ), T ) ),
% 0.87/1.29 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 , clause( 2092, [ ~( 'a_truth'( knight( X ), Y ) ), 'a_truth'( Z, Y ), ~(
% 0.87/1.29 'a_truth'( knave( X ), T ) ), 'a_truth'( Z, T ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, Y )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 0 )] )
% 0.87/1.29 ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2096, [ ~( 'a_truth'( knave( X ), Y ) ), ~( 'a_truth'( Z, Y ) ),
% 0.87/1.29 ~( 'a_truth'( knave( X ), T ) ), 'a_truth'( Z, T ) ] )
% 0.87/1.29 , clause( 6, [ ~( 'a_truth'( knave( X ), Y ) ), ~( 'a_truth'( Z, Y ) ), ~(
% 0.87/1.29 says( X, Z ) ) ] )
% 0.87/1.29 , 2, clause( 7, [ ~( 'a_truth'( knave( X ), Y ) ), 'a_truth'( Z, Y ), says(
% 0.87/1.29 X, Z ) ] )
% 0.87/1.29 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, Z )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 36, [ ~( 'a_truth'( Z, Y ) ), ~( 'a_truth'( knave( X ), T ) ),
% 0.87/1.29 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 , clause( 2096, [ ~( 'a_truth'( knave( X ), Y ) ), ~( 'a_truth'( Z, Y ) ),
% 0.87/1.29 ~( 'a_truth'( knave( X ), T ) ), 'a_truth'( Z, T ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.87/1.29 ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2102, [ ~( 'a_truth'( knave( X ), Y ) ), ~( 'a_truth'( Z, Y ) ),
% 0.87/1.29 ~( 'a_truth'( knight( X ), T ) ), ~( 'a_truth'( Z, T ) ) ] )
% 0.87/1.29 , clause( 6, [ ~( 'a_truth'( knave( X ), Y ) ), ~( 'a_truth'( Z, Y ) ), ~(
% 0.87/1.29 says( X, Z ) ) ] )
% 0.87/1.29 , 2, clause( 5, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( Z, Y ) )
% 0.87/1.29 , says( X, Z ) ] )
% 0.87/1.29 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, Z )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 37, [ ~( 'a_truth'( Z, Y ) ), ~( 'a_truth'( knave( X ), T ) ), ~(
% 0.87/1.29 'a_truth'( Z, T ) ), ~( 'a_truth'( knight( X ), Y ) ) ] )
% 0.87/1.29 , clause( 2102, [ ~( 'a_truth'( knave( X ), Y ) ), ~( 'a_truth'( Z, Y ) ),
% 0.87/1.29 ~( 'a_truth'( knight( X ), T ) ), ~( 'a_truth'( Z, T ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, Y )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 0 )] )
% 0.87/1.29 ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2106, [ ~( 'a_truth'( knight( me ), X ) ), 'a_truth'( Y, X ),
% 0.87/1.29 'a_truth'( and( knave( me ), rich( me ) ), Y ) ] )
% 0.87/1.29 , clause( 4, [ ~( 'a_truth'( knight( X ), Y ) ), 'a_truth'( Z, Y ), ~( says(
% 0.87/1.29 X, Z ) ) ] )
% 0.87/1.29 , 2, clause( 12, [ 'a_truth'( and( knave( me ), rich( me ) ), X ), says( me
% 0.87/1.29 , X ) ] )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, me ), :=( Y, X ), :=( Z, Y )] ),
% 0.87/1.29 substitution( 1, [ :=( X, Y )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 138, [ ~( 'a_truth'( knight( me ), Y ) ), 'a_truth'( X, Y ),
% 0.87/1.29 'a_truth'( and( knave( me ), rich( me ) ), X ) ] )
% 0.87/1.29 , clause( 2106, [ ~( 'a_truth'( knight( me ), X ) ), 'a_truth'( Y, X ),
% 0.87/1.29 'a_truth'( and( knave( me ), rich( me ) ), Y ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.29 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2108, [ ~( 'a_truth'( knave( me ), X ) ), 'a_truth'( and( knave( me
% 0.87/1.29 ), rich( me ) ), knave( me ) ) ] )
% 0.87/1.29 , clause( 14, [ ~( 'a_truth'( knave( X ), Y ) ), ~( says( X, knave( X ) ) )
% 0.87/1.29 ] )
% 0.87/1.29 , 1, clause( 12, [ 'a_truth'( and( knave( me ), rich( me ) ), X ), says( me
% 0.87/1.29 , X ) ] )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, me ), :=( Y, X )] ), substitution( 1, [ :=(
% 0.87/1.29 X, knave( me ) )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 139, [ ~( 'a_truth'( knave( me ), X ) ), 'a_truth'( and( knave( me
% 0.87/1.29 ), rich( me ) ), knave( me ) ) ] )
% 0.87/1.29 , clause( 2108, [ ~( 'a_truth'( knave( me ), X ) ), 'a_truth'( and( knave(
% 0.87/1.29 me ), rich( me ) ), knave( me ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.87/1.29 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 factor(
% 0.87/1.29 clause( 2109, [ ~( 'a_truth'( knight( me ), and( knave( me ), rich( me ) )
% 0.87/1.29 ) ), 'a_truth'( and( knave( me ), rich( me ) ), and( knave( me ), rich(
% 0.87/1.29 me ) ) ) ] )
% 0.87/1.29 , clause( 138, [ ~( 'a_truth'( knight( me ), Y ) ), 'a_truth'( X, Y ),
% 0.87/1.29 'a_truth'( and( knave( me ), rich( me ) ), X ) ] )
% 0.87/1.29 , 1, 2, substitution( 0, [ :=( X, and( knave( me ), rich( me ) ) ), :=( Y,
% 0.87/1.29 and( knave( me ), rich( me ) ) )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2110, [ ~( 'a_truth'( knight( me ), and( knave( me ), rich( me ) )
% 0.87/1.29 ) ), ~( 'a_truth'( knight( me ), and( knave( me ), rich( me ) ) ) ) ] )
% 0.87/1.29 , clause( 23, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( and( knave(
% 0.87/1.29 X ), Z ), Y ) ) ] )
% 0.87/1.29 , 1, clause( 2109, [ ~( 'a_truth'( knight( me ), and( knave( me ), rich( me
% 0.87/1.29 ) ) ) ), 'a_truth'( and( knave( me ), rich( me ) ), and( knave( me ),
% 0.87/1.29 rich( me ) ) ) ] )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, me ), :=( Y, and( knave( me ), rich( me ) )
% 0.87/1.29 ), :=( Z, rich( me ) )] ), substitution( 1, [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 factor(
% 0.87/1.29 clause( 2111, [ ~( 'a_truth'( knight( me ), and( knave( me ), rich( me ) )
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , clause( 2110, [ ~( 'a_truth'( knight( me ), and( knave( me ), rich( me )
% 0.87/1.29 ) ) ), ~( 'a_truth'( knight( me ), and( knave( me ), rich( me ) ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , 0, 1, substitution( 0, [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 140, [ ~( 'a_truth'( knight( me ), and( knave( me ), rich( me ) ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 2111, [ ~( 'a_truth'( knight( me ), and( knave( me ), rich( me )
% 0.87/1.29 ) ) ) ] )
% 0.87/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2112, [ ~( 'a_truth'( knight( me ), knave( me ) ) ), ~( 'a_truth'(
% 0.87/1.29 knave( me ), X ) ) ] )
% 0.87/1.29 , clause( 23, [ ~( 'a_truth'( knight( X ), Y ) ), ~( 'a_truth'( and( knave(
% 0.87/1.29 X ), Z ), Y ) ) ] )
% 0.87/1.29 , 1, clause( 139, [ ~( 'a_truth'( knave( me ), X ) ), 'a_truth'( and( knave(
% 0.87/1.29 me ), rich( me ) ), knave( me ) ) ] )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, me ), :=( Y, knave( me ) ), :=( Z, rich( me
% 0.87/1.29 ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 216, [ ~( 'a_truth'( knight( me ), knave( me ) ) ), ~( 'a_truth'(
% 0.87/1.29 knave( me ), X ) ) ] )
% 0.87/1.29 , clause( 2112, [ ~( 'a_truth'( knight( me ), knave( me ) ) ), ~( 'a_truth'(
% 0.87/1.29 knave( me ), X ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.87/1.29 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2114, [ 'a_truth'( knave( me ), knave( me ) ), ~( 'a_truth'( knave(
% 0.87/1.29 me ), X ) ) ] )
% 0.87/1.29 , clause( 8, [ 'a_truth'( X, Z ), ~( 'a_truth'( and( X, Y ), Z ) ) ] )
% 0.87/1.29 , 1, clause( 139, [ ~( 'a_truth'( knave( me ), X ) ), 'a_truth'( and( knave(
% 0.87/1.29 me ), rich( me ) ), knave( me ) ) ] )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, knave( me ) ), :=( Y, rich( me ) ), :=( Z,
% 0.87/1.29 knave( me ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 221, [ 'a_truth'( knave( me ), knave( me ) ), ~( 'a_truth'( knave(
% 0.87/1.29 me ), X ) ) ] )
% 0.87/1.29 , clause( 2114, [ 'a_truth'( knave( me ), knave( me ) ), ~( 'a_truth'(
% 0.87/1.29 knave( me ), X ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.87/1.29 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2116, [ ~( 'a_truth'( knight( me ), knave( me ) ) ), 'a_truth'(
% 0.87/1.29 knight( me ), X ) ] )
% 0.87/1.29 , clause( 216, [ ~( 'a_truth'( knight( me ), knave( me ) ) ), ~( 'a_truth'(
% 0.87/1.29 knave( me ), X ) ) ] )
% 0.87/1.29 , 1, clause( 1, [ 'a_truth'( knight( X ), Y ), 'a_truth'( knave( X ), Y ) ]
% 0.87/1.29 )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, me ), :=(
% 0.87/1.29 Y, X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 235, [ 'a_truth'( knight( me ), X ), ~( 'a_truth'( knight( me ),
% 0.87/1.29 knave( me ) ) ) ] )
% 0.87/1.29 , clause( 2116, [ ~( 'a_truth'( knight( me ), knave( me ) ) ), 'a_truth'(
% 0.87/1.29 knight( me ), X ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.87/1.29 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2117, [ ~( 'a_truth'( knight( me ), knave( me ) ) ) ] )
% 0.87/1.29 , clause( 140, [ ~( 'a_truth'( knight( me ), and( knave( me ), rich( me ) )
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , 0, clause( 235, [ 'a_truth'( knight( me ), X ), ~( 'a_truth'( knight( me
% 0.87/1.29 ), knave( me ) ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, and( knave( me ),
% 0.87/1.29 rich( me ) ) )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 242, [ ~( 'a_truth'( knight( me ), knave( me ) ) ) ] )
% 0.87/1.29 , clause( 2117, [ ~( 'a_truth'( knight( me ), knave( me ) ) ) ] )
% 0.87/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2118, [ ~( 'a_truth'( and( X, knight( me ) ), knave( me ) ) ) ] )
% 0.87/1.29 , clause( 242, [ ~( 'a_truth'( knight( me ), knave( me ) ) ) ] )
% 0.87/1.29 , 0, clause( 9, [ 'a_truth'( Y, Z ), ~( 'a_truth'( and( X, Y ), Z ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, knight(
% 0.87/1.29 me ) ), :=( Z, knave( me ) )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 257, [ ~( 'a_truth'( and( X, knight( me ) ), knave( me ) ) ) ] )
% 0.87/1.29 , clause( 2118, [ ~( 'a_truth'( and( X, knight( me ) ), knave( me ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2123, [ ~( 'a_truth'( X, Y ) ), 'a_truth'( X, knave( me ) ), ~(
% 0.87/1.29 'a_truth'( knave( me ), Y ) ), ~( 'a_truth'( knave( me ), Z ) ) ] )
% 0.87/1.29 , clause( 36, [ ~( 'a_truth'( Z, Y ) ), ~( 'a_truth'( knave( X ), T ) ),
% 0.87/1.29 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 , 1, clause( 221, [ 'a_truth'( knave( me ), knave( me ) ), ~( 'a_truth'(
% 0.87/1.29 knave( me ), X ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, me ), :=( Y, Y ), :=( Z, X ), :=( T, knave(
% 0.87/1.29 me ) )] ), substitution( 1, [ :=( X, Z )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 274, [ ~( 'a_truth'( Y, Z ) ), 'a_truth'( Y, knave( me ) ), ~(
% 0.87/1.29 'a_truth'( knave( me ), Z ) ), ~( 'a_truth'( knave( me ), X ) ) ] )
% 0.87/1.29 , clause( 2123, [ ~( 'a_truth'( X, Y ) ), 'a_truth'( X, knave( me ) ), ~(
% 0.87/1.29 'a_truth'( knave( me ), Y ) ), ~( 'a_truth'( knave( me ), Z ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, Z )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 2 )] )
% 0.87/1.29 ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2132, [ 'a_truth'( knave( me ), knave( me ) ), 'a_truth'( knight(
% 0.87/1.29 me ), X ) ] )
% 0.87/1.29 , clause( 221, [ 'a_truth'( knave( me ), knave( me ) ), ~( 'a_truth'( knave(
% 0.87/1.29 me ), X ) ) ] )
% 0.87/1.29 , 1, clause( 1, [ 'a_truth'( knight( X ), Y ), 'a_truth'( knave( X ), Y ) ]
% 0.87/1.29 )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, me ), :=(
% 0.87/1.29 Y, X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 284, [ 'a_truth'( knight( me ), X ), 'a_truth'( knave( me ), knave(
% 0.87/1.29 me ) ) ] )
% 0.87/1.29 , clause( 2132, [ 'a_truth'( knave( me ), knave( me ) ), 'a_truth'( knight(
% 0.87/1.29 me ), X ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.87/1.29 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 factor(
% 0.87/1.29 clause( 2134, [ ~( 'a_truth'( X, Y ) ), 'a_truth'( X, knave( me ) ), ~(
% 0.87/1.29 'a_truth'( knave( me ), Y ) ) ] )
% 0.87/1.29 , clause( 274, [ ~( 'a_truth'( Y, Z ) ), 'a_truth'( Y, knave( me ) ), ~(
% 0.87/1.29 'a_truth'( knave( me ), Z ) ), ~( 'a_truth'( knave( me ), X ) ) ] )
% 0.87/1.29 , 2, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 288, [ 'a_truth'( X, knave( me ) ), ~( 'a_truth'( knave( me ), Y )
% 0.87/1.29 ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 , clause( 2134, [ ~( 'a_truth'( X, Y ) ), 'a_truth'( X, knave( me ) ), ~(
% 0.87/1.29 'a_truth'( knave( me ), Y ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.87/1.29 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2136, [ 'a_truth'( knave( me ), knave( me ) ) ] )
% 0.87/1.29 , clause( 242, [ ~( 'a_truth'( knight( me ), knave( me ) ) ) ] )
% 0.87/1.29 , 0, clause( 284, [ 'a_truth'( knight( me ), X ), 'a_truth'( knave( me ),
% 0.87/1.29 knave( me ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, knave( me ) )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 290, [ 'a_truth'( knave( me ), knave( me ) ) ] )
% 0.87/1.29 , clause( 2136, [ 'a_truth'( knave( me ), knave( me ) ) ] )
% 0.87/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2138, [ ~( 'a_truth'( X, Y ) ), ~( 'a_truth'( X, knave( me ) ) ),
% 0.87/1.29 ~( 'a_truth'( knight( me ), Y ) ) ] )
% 0.87/1.29 , clause( 37, [ ~( 'a_truth'( Z, Y ) ), ~( 'a_truth'( knave( X ), T ) ),
% 0.87/1.29 ~( 'a_truth'( Z, T ) ), ~( 'a_truth'( knight( X ), Y ) ) ] )
% 0.87/1.29 , 1, clause( 290, [ 'a_truth'( knave( me ), knave( me ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, me ), :=( Y, Y ), :=( Z, X ), :=( T, knave(
% 0.87/1.29 me ) )] ), substitution( 1, [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 298, [ ~( 'a_truth'( X, knave( me ) ) ), ~( 'a_truth'( knight( me )
% 0.87/1.29 , Y ) ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 , clause( 2138, [ ~( 'a_truth'( X, Y ) ), ~( 'a_truth'( X, knave( me ) ) )
% 0.87/1.29 , ~( 'a_truth'( knight( me ), Y ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.87/1.29 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2143, [ 'a_truth'( and( knave( me ), rich( me ) ), knave( me ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 139, [ ~( 'a_truth'( knave( me ), X ) ), 'a_truth'( and( knave(
% 0.87/1.29 me ), rich( me ) ), knave( me ) ) ] )
% 0.87/1.29 , 0, clause( 290, [ 'a_truth'( knave( me ), knave( me ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, knave( me ) )] ), substitution( 1, [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 301, [ 'a_truth'( and( knave( me ), rich( me ) ), knave( me ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 2143, [ 'a_truth'( and( knave( me ), rich( me ) ), knave( me ) )
% 0.87/1.29 ] )
% 0.87/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2144, [ 'a_truth'( X, knave( me ) ), ~( 'a_truth'( knight( me ), Y
% 0.87/1.29 ) ), 'a_truth'( X, Y ) ] )
% 0.87/1.29 , clause( 35, [ 'a_truth'( Z, Y ), ~( 'a_truth'( knight( X ), T ) ),
% 0.87/1.29 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 , 3, clause( 290, [ 'a_truth'( knave( me ), knave( me ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, me ), :=( Y, knave( me ) ), :=( Z, X ), :=(
% 0.87/1.29 T, Y )] ), substitution( 1, [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 302, [ ~( 'a_truth'( knight( me ), Y ) ), 'a_truth'( X, Y ),
% 0.87/1.29 'a_truth'( X, knave( me ) ) ] )
% 0.87/1.29 , clause( 2144, [ 'a_truth'( X, knave( me ) ), ~( 'a_truth'( knight( me ),
% 0.87/1.29 Y ) ), 'a_truth'( X, Y ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.87/1.29 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2146, [ 'a_truth'( rich( me ), knave( me ) ) ] )
% 0.87/1.29 , clause( 9, [ 'a_truth'( Y, Z ), ~( 'a_truth'( and( X, Y ), Z ) ) ] )
% 0.87/1.29 , 1, clause( 301, [ 'a_truth'( and( knave( me ), rich( me ) ), knave( me )
% 0.87/1.29 ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, knave( me ) ), :=( Y, rich( me ) ), :=( Z,
% 0.87/1.29 knave( me ) )] ), substitution( 1, [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 323, [ 'a_truth'( rich( me ), knave( me ) ) ] )
% 0.87/1.29 , clause( 2146, [ 'a_truth'( rich( me ), knave( me ) ) ] )
% 0.87/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2147, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( rich( me )
% 0.87/1.29 , X ) ) ] )
% 0.87/1.29 , clause( 298, [ ~( 'a_truth'( X, knave( me ) ) ), ~( 'a_truth'( knight( me
% 0.87/1.29 ), Y ) ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 , 0, clause( 323, [ 'a_truth'( rich( me ), knave( me ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, rich( me ) ), :=( Y, X )] ), substitution( 1
% 0.87/1.29 , [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 351, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( rich( me )
% 0.87/1.29 , X ) ) ] )
% 0.87/1.29 , clause( 2147, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( rich( me
% 0.87/1.29 ), X ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.87/1.29 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2149, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( and( rich(
% 0.87/1.29 me ), Y ), X ) ) ] )
% 0.87/1.29 , clause( 351, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( rich( me
% 0.87/1.29 ), X ) ) ] )
% 0.87/1.29 , 1, clause( 8, [ 'a_truth'( X, Z ), ~( 'a_truth'( and( X, Y ), Z ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, rich( me )
% 0.87/1.29 ), :=( Y, Y ), :=( Z, X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 388, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( and( rich(
% 0.87/1.29 me ), Y ), X ) ) ] )
% 0.87/1.29 , clause( 2149, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( and(
% 0.87/1.29 rich( me ), Y ), X ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.29 ), ==>( 1, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2151, [ ~( 'a_truth'( knight( me ), Y ) ), 'a_truth'( and( X,
% 0.87/1.29 knight( me ) ), Y ) ] )
% 0.87/1.29 , clause( 257, [ ~( 'a_truth'( and( X, knight( me ) ), knave( me ) ) ) ] )
% 0.87/1.29 , 0, clause( 302, [ ~( 'a_truth'( knight( me ), Y ) ), 'a_truth'( X, Y ),
% 0.87/1.29 'a_truth'( X, knave( me ) ) ] )
% 0.87/1.29 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, and( X,
% 0.87/1.29 knight( me ) ) ), :=( Y, Y )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 406, [ ~( 'a_truth'( knight( me ), X ) ), 'a_truth'( and( Y, knight(
% 0.87/1.29 me ) ), X ) ] )
% 0.87/1.29 , clause( 2151, [ ~( 'a_truth'( knight( me ), Y ) ), 'a_truth'( and( X,
% 0.87/1.29 knight( me ) ), Y ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.29 ), ==>( 1, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2152, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( knight( me
% 0.87/1.29 ), X ) ) ] )
% 0.87/1.29 , clause( 388, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( and( rich(
% 0.87/1.29 me ), Y ), X ) ) ] )
% 0.87/1.29 , 1, clause( 406, [ ~( 'a_truth'( knight( me ), X ) ), 'a_truth'( and( Y,
% 0.87/1.29 knight( me ) ), X ) ] )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, X ), :=( Y, knight( me ) )] ),
% 0.87/1.29 substitution( 1, [ :=( X, X ), :=( Y, rich( me ) )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 factor(
% 0.87/1.29 clause( 2153, [ ~( 'a_truth'( knight( me ), X ) ) ] )
% 0.87/1.29 , clause( 2152, [ ~( 'a_truth'( knight( me ), X ) ), ~( 'a_truth'( knight(
% 0.87/1.29 me ), X ) ) ] )
% 0.87/1.29 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 450, [ ~( 'a_truth'( knight( me ), X ) ) ] )
% 0.87/1.29 , clause( 2153, [ ~( 'a_truth'( knight( me ), X ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2154, [ 'a_truth'( X, knave( me ) ), ~( 'a_truth'( X, Y ) ),
% 0.87/1.29 'a_truth'( knight( me ), Y ) ] )
% 0.87/1.29 , clause( 288, [ 'a_truth'( X, knave( me ) ), ~( 'a_truth'( knave( me ), Y
% 0.87/1.29 ) ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 , 1, clause( 1, [ 'a_truth'( knight( X ), Y ), 'a_truth'( knave( X ), Y ) ]
% 0.87/1.29 )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.87/1.29 , me ), :=( Y, Y )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2159, [ 'a_truth'( Y, knave( me ) ), ~( 'a_truth'( Y, X ) ) ] )
% 0.87/1.29 , clause( 450, [ ~( 'a_truth'( knight( me ), X ) ) ] )
% 0.87/1.29 , 0, clause( 2154, [ 'a_truth'( X, knave( me ) ), ~( 'a_truth'( X, Y ) ),
% 0.87/1.29 'a_truth'( knight( me ), Y ) ] )
% 0.87/1.29 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.87/1.29 , X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 977, [ ~( 'a_truth'( X, Y ) ), 'a_truth'( X, knave( me ) ) ] )
% 0.87/1.29 , clause( 2159, [ 'a_truth'( Y, knave( me ) ), ~( 'a_truth'( Y, X ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.87/1.29 ), ==>( 1, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2166, [ ~( 'a_truth'( X, knave( me ) ) ), ~( 'a_truth'( knave( Y )
% 0.87/1.29 , Z ) ), 'a_truth'( X, Z ), ~( 'a_truth'( knave( Y ), T ) ) ] )
% 0.87/1.29 , clause( 36, [ ~( 'a_truth'( Z, Y ) ), ~( 'a_truth'( knave( X ), T ) ),
% 0.87/1.29 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 , 3, clause( 977, [ ~( 'a_truth'( X, Y ) ), 'a_truth'( X, knave( me ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, Y ), :=( Y, knave( me ) ), :=( Z, X ), :=( T
% 0.87/1.29 , Z )] ), substitution( 1, [ :=( X, knave( Y ) ), :=( Y, T )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1009, [ ~( 'a_truth'( Z, knave( me ) ) ), ~( 'a_truth'( knave( X )
% 0.87/1.29 , T ) ), 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 , clause( 2166, [ ~( 'a_truth'( X, knave( me ) ) ), ~( 'a_truth'( knave( Y
% 0.87/1.29 ), Z ) ), 'a_truth'( X, Z ), ~( 'a_truth'( knave( Y ), T ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, T )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 1 )] )
% 0.87/1.29 ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 factor(
% 0.87/1.29 clause( 2176, [ ~( 'a_truth'( X, knave( me ) ) ), ~( 'a_truth'( knave( Y )
% 0.87/1.29 , Z ) ), 'a_truth'( X, Z ) ] )
% 0.87/1.29 , clause( 1009, [ ~( 'a_truth'( Z, knave( me ) ) ), ~( 'a_truth'( knave( X
% 0.87/1.29 ), T ) ), 'a_truth'( Z, T ), ~( 'a_truth'( knave( X ), Y ) ) ] )
% 0.87/1.29 , 1, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, Z )] )
% 0.87/1.29 ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1046, [ ~( 'a_truth'( knave( Y ), Z ) ), 'a_truth'( X, Z ), ~(
% 0.87/1.29 'a_truth'( X, knave( me ) ) ) ] )
% 0.87/1.29 , clause( 2176, [ ~( 'a_truth'( X, knave( me ) ) ), ~( 'a_truth'( knave( Y
% 0.87/1.29 ), Z ) ), 'a_truth'( X, Z ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2179, [ ~( 'a_truth'( knave( X ), Y ) ), 'a_truth'( Z, Y ), ~(
% 0.87/1.29 'a_truth'( Z, T ) ) ] )
% 0.87/1.29 , clause( 1046, [ ~( 'a_truth'( knave( Y ), Z ) ), 'a_truth'( X, Z ), ~(
% 0.87/1.29 'a_truth'( X, knave( me ) ) ) ] )
% 0.87/1.29 , 2, clause( 977, [ ~( 'a_truth'( X, Y ) ), 'a_truth'( X, knave( me ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.87/1.29 substitution( 1, [ :=( X, Z ), :=( Y, T )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1696, [ 'a_truth'( Z, Y ), ~( 'a_truth'( Z, T ) ), ~( 'a_truth'(
% 0.87/1.29 knave( X ), Y ) ) ] )
% 0.87/1.29 , clause( 2179, [ ~( 'a_truth'( knave( X ), Y ) ), 'a_truth'( Z, Y ), ~(
% 0.87/1.29 'a_truth'( Z, T ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2183, [ ~( 'a_truth'( knave( X ), Y ) ), 'a_truth'( knave( me ), Y
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 1046, [ ~( 'a_truth'( knave( Y ), Z ) ), 'a_truth'( X, Z ), ~(
% 0.87/1.29 'a_truth'( X, knave( me ) ) ) ] )
% 0.87/1.29 , 2, clause( 290, [ 'a_truth'( knave( me ), knave( me ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, knave( me ) ), :=( Y, X ), :=( Z, Y )] ),
% 0.87/1.29 substitution( 1, [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1700, [ 'a_truth'( knave( me ), Y ), ~( 'a_truth'( knave( X ), Y )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 2183, [ ~( 'a_truth'( knave( X ), Y ) ), 'a_truth'( knave( me ),
% 0.87/1.29 Y ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.87/1.29 ), ==>( 1, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2184, [ 'a_truth'( knave( me ), X ), 'a_truth'( knight( Y ), X ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 1700, [ 'a_truth'( knave( me ), Y ), ~( 'a_truth'( knave( X ), Y
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , 1, clause( 1, [ 'a_truth'( knight( X ), Y ), 'a_truth'( knave( X ), Y ) ]
% 0.87/1.29 )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.87/1.29 , Y ), :=( Y, X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1737, [ 'a_truth'( knight( Y ), X ), 'a_truth'( knave( me ), X ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 2184, [ 'a_truth'( knave( me ), X ), 'a_truth'( knight( Y ), X )
% 0.87/1.29 ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.87/1.29 ), ==>( 1, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2187, [ 'a_truth'( X, Y ), ~( 'a_truth'( X, Z ) ), 'a_truth'(
% 0.87/1.29 knight( T ), Y ) ] )
% 0.87/1.29 , clause( 1696, [ 'a_truth'( Z, Y ), ~( 'a_truth'( Z, T ) ), ~( 'a_truth'(
% 0.87/1.29 knave( X ), Y ) ) ] )
% 0.87/1.29 , 2, clause( 1737, [ 'a_truth'( knight( Y ), X ), 'a_truth'( knave( me ), X
% 0.87/1.29 ) ] )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, me ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )
% 0.87/1.29 , substitution( 1, [ :=( X, Y ), :=( Y, T )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1796, [ ~( 'a_truth'( X, Z ) ), 'a_truth'( knight( T ), Y ),
% 0.87/1.29 'a_truth'( X, Y ) ] )
% 0.87/1.29 , clause( 2187, [ 'a_truth'( X, Y ), ~( 'a_truth'( X, Z ) ), 'a_truth'(
% 0.87/1.29 knight( T ), Y ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2189, [ ~( 'a_truth'( Y, Z ) ), 'a_truth'( Y, X ) ] )
% 0.87/1.29 , clause( 450, [ ~( 'a_truth'( knight( me ), X ) ) ] )
% 0.87/1.29 , 0, clause( 1796, [ ~( 'a_truth'( X, Z ) ), 'a_truth'( knight( T ), Y ),
% 0.87/1.29 'a_truth'( X, Y ) ] )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.87/1.29 , X ), :=( Z, Z ), :=( T, me )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1840, [ 'a_truth'( X, Z ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 , clause( 2189, [ ~( 'a_truth'( Y, Z ) ), 'a_truth'( Y, X ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.87/1.29 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2191, [ 'a_truth'( and( knave( me ), rich( me ) ), X ) ] )
% 0.87/1.29 , clause( 1840, [ 'a_truth'( X, Z ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 , 1, clause( 301, [ 'a_truth'( and( knave( me ), rich( me ) ), knave( me )
% 0.87/1.29 ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, and( knave( me ), rich( me ) ) ), :=( Y,
% 0.87/1.29 knave( me ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1934, [ 'a_truth'( and( knave( me ), rich( me ) ), X ) ] )
% 0.87/1.29 , clause( 2191, [ 'a_truth'( and( knave( me ), rich( me ) ), X ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2192, [ 'a_truth'( knave( me ), X ) ] )
% 0.87/1.29 , clause( 1840, [ 'a_truth'( X, Z ), ~( 'a_truth'( X, Y ) ) ] )
% 0.87/1.29 , 1, clause( 290, [ 'a_truth'( knave( me ), knave( me ) ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, knave( me ) ), :=( Y, knave( me ) ), :=( Z,
% 0.87/1.29 X )] ), substitution( 1, [] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 1935, [ 'a_truth'( knave( me ), X ) ] )
% 0.87/1.29 , clause( 2192, [ 'a_truth'( knave( me ), X ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2193, [ ~( says( me, X ) ) ] )
% 0.87/1.29 , clause( 11, [ ~( 'a_truth'( and( knave( me ), rich( me ) ), X ) ), ~(
% 0.87/1.29 says( me, X ) ) ] )
% 0.87/1.29 , 0, clause( 1934, [ 'a_truth'( and( knave( me ), rich( me ) ), X ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.29 ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 2054, [ ~( says( me, X ) ) ] )
% 0.87/1.29 , clause( 2193, [ ~( says( me, X ) ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2194, [ ~( 'a_truth'( knave( me ), Y ) ), 'a_truth'( X, Y ) ] )
% 0.87/1.29 , clause( 2054, [ ~( says( me, X ) ) ] )
% 0.87/1.29 , 0, clause( 7, [ ~( 'a_truth'( knave( X ), Y ) ), 'a_truth'( Z, Y ), says(
% 0.87/1.29 X, Z ) ] )
% 0.87/1.29 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, me ), :=(
% 0.87/1.29 Y, Y ), :=( Z, X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2195, [ 'a_truth'( Y, X ) ] )
% 0.87/1.29 , clause( 2194, [ ~( 'a_truth'( knave( me ), Y ) ), 'a_truth'( X, Y ) ] )
% 0.87/1.29 , 0, clause( 1935, [ 'a_truth'( knave( me ), X ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.87/1.29 , X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 2055, [ 'a_truth'( Y, X ) ] )
% 0.87/1.29 , clause( 2195, [ 'a_truth'( Y, X ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.29 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2196, [ ~( 'a_truth'( knight( me ), X ) ) ] )
% 0.87/1.29 , clause( 2054, [ ~( says( me, X ) ) ] )
% 0.87/1.29 , 0, clause( 13, [ ~( 'a_truth'( knight( X ), Y ) ), says( X, knight( X ) )
% 0.87/1.29 ] )
% 0.87/1.29 , 1, substitution( 0, [ :=( X, knight( me ) )] ), substitution( 1, [ :=( X
% 0.87/1.29 , me ), :=( Y, X )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 2197, [] )
% 0.87/1.29 , clause( 2196, [ ~( 'a_truth'( knight( me ), X ) ) ] )
% 0.87/1.29 , 0, clause( 2055, [ 'a_truth'( Y, X ) ] )
% 0.87/1.29 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.87/1.29 , knight( me ) )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 2056, [] )
% 0.87/1.29 , clause( 2197, [] )
% 0.87/1.29 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 end.
% 0.87/1.29
% 0.87/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.29
% 0.87/1.29 Memory use:
% 0.87/1.29
% 0.87/1.29 space for terms: 29887
% 0.87/1.29 space for clauses: 105448
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 clauses generated: 18547
% 0.87/1.29 clauses kept: 2057
% 0.87/1.29 clauses selected: 224
% 0.87/1.29 clauses deleted: 150
% 0.87/1.29 clauses inuse deleted: 140
% 0.87/1.29
% 0.87/1.29 subsentry: 73186
% 0.87/1.29 literals s-matched: 37685
% 0.87/1.29 literals matched: 35187
% 0.87/1.29 full subsumption: 6750
% 0.87/1.29
% 0.87/1.29 checksum: 1012181721
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Bliksem ended
%------------------------------------------------------------------------------