TSTP Solution File: PUZ025-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 17:58:13 EDT 2022
% Result : Unsatisfiable 0.82s 1.20s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sat May 28 23:09:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.82/1.20 *** allocated 10000 integers for termspace/termends
% 0.82/1.20 *** allocated 10000 integers for clauses
% 0.82/1.20 *** allocated 10000 integers for justifications
% 0.82/1.20 Bliksem 1.12
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Automatic Strategy Selection
% 0.82/1.20
% 0.82/1.20 Clauses:
% 0.82/1.20 [
% 0.82/1.20 [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ],
% 0.82/1.20 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X ) ) ) ],
% 0.82/1.20 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ),
% 0.82/1.20 'a_truth'( Y ) ],
% 0.82/1.20 [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ), ~(
% 0.82/1.20 'a_truth'( Y ) ) ],
% 0.82/1.20 [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.82/1.20 truthteller( Y ) ) ],
% 0.82/1.20 [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'( liar( Y ) )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'(
% 0.82/1.20 liar( Y ) ) ), 'a_truth'( 'equal_type'( X, Y ) ) ],
% 0.82/1.20 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) ), ~(
% 0.82/1.20 'a_truth'( truthteller( Y ) ) ), 'a_truth'( 'equal_type'( X, Y ) ) ],
% 0.82/1.20 [ ~( 'a_truth'( 'equal_type'( X, Y ) ) ), ~( 'a_truth'( truthteller( X )
% 0.82/1.20 ) ), 'a_truth'( truthteller( Y ) ) ],
% 0.82/1.20 [ ~( 'a_truth'( 'equal_type'( X, Y ) ) ), ~( 'a_truth'( liar( X ) ) ),
% 0.82/1.20 'a_truth'( liar( Y ) ) ],
% 0.82/1.20 [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( 'equal_type'( X, Y ) )
% 0.82/1.20 , 'a_truth'( liar( Y ) ) ],
% 0.82/1.20 [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( 'equal_type'( X, Y ) ),
% 0.82/1.20 'a_truth'( truthteller( Y ) ) ],
% 0.82/1.20 [ ~( 'a_truth'( 'equal_type'( X, Y ) ) ), 'a_truth'( 'equal_type'( Y, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( truthteller( X ) ) ), ~(
% 0.82/1.20 'a_truth'( Y ) ), answer( yes ) ],
% 0.82/1.20 [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( truthteller( X ) ) ),
% 0.82/1.20 'a_truth'( Y ), answer( no ) ],
% 0.82/1.20 [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'(
% 0.82/1.20 Y ) ), answer( no ) ],
% 0.82/1.20 [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( liar( X ) ) ), 'a_truth'( Y )
% 0.82/1.20 , answer( yes ) ],
% 0.82/1.20 [ people( b, c, a ) ],
% 0.82/1.20 [ people( a, b, a ) ],
% 0.82/1.20 [ people( a, c, b ) ],
% 0.82/1.20 [ people( c, b, a ) ],
% 0.82/1.20 [ 'a_truth'( says( a, 'equal_type'( b, c ) ) ) ],
% 0.82/1.20 [ 'ask_1_if_2'( c, 'equal_type'( a, b ) ) ],
% 0.82/1.20 [ ~( answer( X ) ) ]
% 0.82/1.20 ] .
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 percentage equality = 0.000000, percentage horn = 0.750000
% 0.82/1.20 This a non-horn, non-equality problem
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Options Used:
% 0.82/1.20
% 0.82/1.20 useres = 1
% 0.82/1.20 useparamod = 0
% 0.82/1.20 useeqrefl = 0
% 0.82/1.20 useeqfact = 0
% 0.82/1.20 usefactor = 1
% 0.82/1.20 usesimpsplitting = 0
% 0.82/1.20 usesimpdemod = 0
% 0.82/1.20 usesimpres = 3
% 0.82/1.20
% 0.82/1.20 resimpinuse = 1000
% 0.82/1.20 resimpclauses = 20000
% 0.82/1.20 substype = standard
% 0.82/1.20 backwardsubs = 1
% 0.82/1.20 selectoldest = 5
% 0.82/1.20
% 0.82/1.20 litorderings [0] = split
% 0.82/1.20 litorderings [1] = liftord
% 0.82/1.20
% 0.82/1.20 termordering = none
% 0.82/1.20
% 0.82/1.20 litapriori = 1
% 0.82/1.20 termapriori = 0
% 0.82/1.20 litaposteriori = 0
% 0.82/1.20 termaposteriori = 0
% 0.82/1.20 demodaposteriori = 0
% 0.82/1.20 ordereqreflfact = 0
% 0.82/1.20
% 0.82/1.20 litselect = none
% 0.82/1.20
% 0.82/1.20 maxweight = 15
% 0.82/1.20 maxdepth = 30000
% 0.82/1.20 maxlength = 115
% 0.82/1.20 maxnrvars = 195
% 0.82/1.20 excuselevel = 1
% 0.82/1.20 increasemaxweight = 1
% 0.82/1.20
% 0.82/1.20 maxselected = 10000000
% 0.82/1.20 maxnrclauses = 10000000
% 0.82/1.20
% 0.82/1.20 showgenerated = 0
% 0.82/1.20 showkept = 0
% 0.82/1.20 showselected = 0
% 0.82/1.20 showdeleted = 0
% 0.82/1.20 showresimp = 1
% 0.82/1.20 showstatus = 2000
% 0.82/1.20
% 0.82/1.20 prologoutput = 1
% 0.82/1.20 nrgoals = 5000000
% 0.82/1.20 totalproof = 1
% 0.82/1.20
% 0.82/1.20 Symbols occurring in the translation:
% 0.82/1.20
% 0.82/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.20 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.82/1.20 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.82/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 truthteller [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.82/1.20 'a_truth' [41, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.82/1.20 liar [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.82/1.20 says [45, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.82/1.20 people [49, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.82/1.20 'equal_type' [50, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.82/1.20 'ask_1_if_2' [51, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.82/1.20 yes [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.82/1.20 answer [53, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.82/1.20 no [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.82/1.20 b [55, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.82/1.20 c [56, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.82/1.20 a [57, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Starting Search:
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Bliksems!, er is een bewijs:
% 0.82/1.20 % SZS status Unsatisfiable
% 0.82/1.20 % SZS output start Refutation
% 0.82/1.20
% 0.82/1.20 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 1, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X ) )
% 0.82/1.20 ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.82/1.20 says( X, Y ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 4, [ 'a_truth'( truthteller( Y ) ), ~( 'a_truth'( says( Y, X ) ) )
% 0.82/1.20 , ~( 'a_truth'( X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.82/1.20 'a_truth'( X ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 8, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller( Y
% 0.82/1.20 ) ), ~( 'a_truth'( 'equal_type'( X, Y ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 10, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( liar( Y ) ),
% 0.82/1.20 'a_truth'( 'equal_type'( X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 11, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( truthteller( Y ) ),
% 0.82/1.20 'a_truth'( 'equal_type'( X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 12, [ 'a_truth'( 'equal_type'( Y, X ) ), ~( 'a_truth'( 'equal_type'(
% 0.82/1.20 X, Y ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 13, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( Y ) ),
% 0.82/1.20 answer( yes ), ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 15, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), answer( no
% 0.82/1.20 ), ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 16, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( Y ), answer( yes ),
% 0.82/1.20 ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 21, [ 'a_truth'( says( a, 'equal_type'( b, c ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 22, [ 'ask_1_if_2'( c, 'equal_type'( a, b ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 23, [ ~( answer( X ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 42, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( b, c
% 0.82/1.20 ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 45, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( c, b
% 0.82/1.20 ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 54, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'( b
% 0.82/1.20 , c ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 58, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'( c
% 0.82/1.20 , b ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 73, [ 'a_truth'( liar( a ) ), 'a_truth'( 'equal_type'( b, c ) ) ]
% 0.82/1.20 )
% 0.82/1.20 .
% 0.82/1.20 clause( 81, [ 'a_truth'( liar( a ) ), 'a_truth'( 'equal_type'( c, b ) ) ]
% 0.82/1.20 )
% 0.82/1.20 .
% 0.82/1.20 clause( 91, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) ),
% 0.82/1.20 ~( 'a_truth'( liar( c ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 112, [ 'a_truth'( truthteller( b ) ), 'a_truth'( truthteller( c ) )
% 0.82/1.20 , ~( 'a_truth'( liar( a ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 117, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( truthteller( c
% 0.82/1.20 ) ) ), 'a_truth'( liar( a ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 159, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( truthteller(
% 0.82/1.20 a ) ), 'a_truth'( liar( b ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 178, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.82/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 179, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.82/1.20 'equal_type'( a, b ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 180, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) ) ]
% 0.82/1.20 )
% 0.82/1.20 .
% 0.82/1.20 clause( 181, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) ) ]
% 0.82/1.20 )
% 0.82/1.20 .
% 0.82/1.20 clause( 188, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.82/1.20 truthteller( c ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 193, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 202, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.82/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 203, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( 'equal_type'( a,
% 0.82/1.20 b ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 211, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( Y ), ~( 'ask_1_if_2'(
% 0.82/1.20 X, Y ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 212, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.82/1.20 .
% 0.82/1.20 clause( 217, [] )
% 0.82/1.20 .
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 % SZS output end Refutation
% 0.82/1.20 found a proof!
% 0.82/1.20
% 0.82/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.20
% 0.82/1.20 initialclauses(
% 0.82/1.20 [ clause( 219, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.82/1.20 , clause( 220, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X
% 0.82/1.20 ) ) ) ] )
% 0.82/1.20 , clause( 221, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X
% 0.82/1.20 , Y ) ) ), 'a_truth'( Y ) ] )
% 0.82/1.20 , clause( 222, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) )
% 0.82/1.20 ), ~( 'a_truth'( Y ) ) ] )
% 0.82/1.20 , clause( 223, [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.82/1.20 'a_truth'( truthteller( Y ) ) ] )
% 0.82/1.20 , clause( 224, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.82/1.20 liar( Y ) ) ] )
% 0.82/1.20 , clause( 225, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( liar( X ) ) ), ~(
% 0.82/1.20 'a_truth'( liar( Y ) ) ), 'a_truth'( 'equal_type'( X, Y ) ) ] )
% 0.82/1.20 , clause( 226, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) )
% 0.82/1.20 , ~( 'a_truth'( truthteller( Y ) ) ), 'a_truth'( 'equal_type'( X, Y ) ) ]
% 0.82/1.20 )
% 0.82/1.20 , clause( 227, [ ~( 'a_truth'( 'equal_type'( X, Y ) ) ), ~( 'a_truth'(
% 0.82/1.20 truthteller( X ) ) ), 'a_truth'( truthteller( Y ) ) ] )
% 0.82/1.20 , clause( 228, [ ~( 'a_truth'( 'equal_type'( X, Y ) ) ), ~( 'a_truth'( liar(
% 0.82/1.20 X ) ) ), 'a_truth'( liar( Y ) ) ] )
% 0.82/1.20 , clause( 229, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'(
% 0.82/1.20 'equal_type'( X, Y ) ), 'a_truth'( liar( Y ) ) ] )
% 0.82/1.20 , clause( 230, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( 'equal_type'( X, Y
% 0.82/1.20 ) ), 'a_truth'( truthteller( Y ) ) ] )
% 0.82/1.20 , clause( 231, [ ~( 'a_truth'( 'equal_type'( X, Y ) ) ), 'a_truth'(
% 0.82/1.20 'equal_type'( Y, X ) ) ] )
% 0.82/1.20 , clause( 232, [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( truthteller( X )
% 0.82/1.20 ) ), ~( 'a_truth'( Y ) ), answer( yes ) ] )
% 0.82/1.20 , clause( 233, [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( truthteller( X )
% 0.82/1.20 ) ), 'a_truth'( Y ), answer( no ) ] )
% 0.82/1.20 , clause( 234, [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( liar( X ) ) ),
% 0.82/1.20 ~( 'a_truth'( Y ) ), answer( no ) ] )
% 0.82/1.20 , clause( 235, [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( liar( X ) ) ),
% 0.82/1.20 'a_truth'( Y ), answer( yes ) ] )
% 0.82/1.20 , clause( 236, [ people( b, c, a ) ] )
% 0.82/1.20 , clause( 237, [ people( a, b, a ) ] )
% 0.82/1.20 , clause( 238, [ people( a, c, b ) ] )
% 0.82/1.20 , clause( 239, [ people( c, b, a ) ] )
% 0.82/1.20 , clause( 240, [ 'a_truth'( says( a, 'equal_type'( b, c ) ) ) ] )
% 0.82/1.20 , clause( 241, [ 'ask_1_if_2'( c, 'equal_type'( a, b ) ) ] )
% 0.82/1.20 , clause( 242, [ ~( answer( X ) ) ] )
% 0.82/1.20 ] ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.82/1.20 , clause( 219, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.82/1.20 1 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 1, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X ) )
% 0.82/1.20 ) ] )
% 0.82/1.20 , clause( 220, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X
% 0.82/1.20 ) ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.82/1.20 1 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.82/1.20 says( X, Y ) ) ) ] )
% 0.82/1.20 , clause( 222, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) )
% 0.82/1.20 ), ~( 'a_truth'( Y ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 4, [ 'a_truth'( truthteller( Y ) ), ~( 'a_truth'( says( Y, X ) ) )
% 0.82/1.20 , ~( 'a_truth'( X ) ) ] )
% 0.82/1.20 , clause( 223, [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.82/1.20 'a_truth'( truthteller( Y ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.82/1.20 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.82/1.20 'a_truth'( X ) ] )
% 0.82/1.20 , clause( 224, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.82/1.20 liar( Y ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.82/1.20 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 8, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller( Y
% 0.82/1.20 ) ), ~( 'a_truth'( 'equal_type'( X, Y ) ) ) ] )
% 0.82/1.20 , clause( 227, [ ~( 'a_truth'( 'equal_type'( X, Y ) ) ), ~( 'a_truth'(
% 0.82/1.20 truthteller( X ) ) ), 'a_truth'( truthteller( Y ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.82/1.20 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 10, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( liar( Y ) ),
% 0.82/1.20 'a_truth'( 'equal_type'( X, Y ) ) ] )
% 0.82/1.20 , clause( 229, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'(
% 0.82/1.20 'equal_type'( X, Y ) ), 'a_truth'( liar( Y ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 11, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( truthteller( Y ) ),
% 0.82/1.20 'a_truth'( 'equal_type'( X, Y ) ) ] )
% 0.82/1.20 , clause( 230, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( 'equal_type'( X, Y
% 0.82/1.20 ) ), 'a_truth'( truthteller( Y ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 12, [ 'a_truth'( 'equal_type'( Y, X ) ), ~( 'a_truth'( 'equal_type'(
% 0.82/1.20 X, Y ) ) ) ] )
% 0.82/1.20 , clause( 231, [ ~( 'a_truth'( 'equal_type'( X, Y ) ) ), 'a_truth'(
% 0.82/1.20 'equal_type'( Y, X ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.82/1.20 ), ==>( 1, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 13, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( Y ) ),
% 0.82/1.20 answer( yes ), ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.82/1.20 , clause( 232, [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( truthteller( X )
% 0.82/1.20 ) ), ~( 'a_truth'( Y ) ), answer( yes ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.82/1.20 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 15, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), answer( no
% 0.82/1.20 ), ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.82/1.20 , clause( 234, [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( liar( X ) ) ),
% 0.82/1.20 ~( 'a_truth'( Y ) ), answer( no ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.82/1.20 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 16, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( Y ), answer( yes ),
% 0.82/1.20 ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.82/1.20 , clause( 235, [ ~( 'ask_1_if_2'( X, Y ) ), ~( 'a_truth'( liar( X ) ) ),
% 0.82/1.20 'a_truth'( Y ), answer( yes ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.82/1.20 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 21, [ 'a_truth'( says( a, 'equal_type'( b, c ) ) ) ] )
% 0.82/1.20 , clause( 240, [ 'a_truth'( says( a, 'equal_type'( b, c ) ) ) ] )
% 0.82/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 22, [ 'ask_1_if_2'( c, 'equal_type'( a, b ) ) ] )
% 0.82/1.20 , clause( 241, [ 'ask_1_if_2'( c, 'equal_type'( a, b ) ) ] )
% 0.82/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 23, [ ~( answer( X ) ) ] )
% 0.82/1.20 , clause( 242, [ ~( answer( X ) ) ] )
% 0.82/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 resolution(
% 0.82/1.20 clause( 299, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( b,
% 0.82/1.20 c ) ) ) ] )
% 0.82/1.20 , clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.82/1.20 'a_truth'( says( X, Y ) ) ) ] )
% 0.82/1.20 , 2, clause( 21, [ 'a_truth'( says( a, 'equal_type'( b, c ) ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, a ), :=( Y, 'equal_type'( b, c ) )] ),
% 0.82/1.20 substitution( 1, [] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 42, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( b, c
% 0.82/1.20 ) ) ) ] )
% 0.82/1.20 , clause( 299, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( b
% 0.82/1.20 , c ) ) ) ] )
% 0.82/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.20 ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 resolution(
% 0.82/1.20 clause( 300, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( c,
% 0.82/1.20 b ) ) ) ] )
% 0.82/1.20 , clause( 42, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( b
% 0.82/1.20 , c ) ) ) ] )
% 0.82/1.20 , 1, clause( 12, [ 'a_truth'( 'equal_type'( Y, X ) ), ~( 'a_truth'(
% 0.82/1.20 'equal_type'( X, Y ) ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, b )] )
% 0.82/1.20 ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 45, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( c, b
% 0.82/1.20 ) ) ) ] )
% 0.82/1.20 , clause( 300, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( c
% 0.82/1.20 , b ) ) ) ] )
% 0.82/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.20 ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 resolution(
% 0.82/1.20 clause( 301, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'( b
% 0.82/1.20 , c ) ) ) ] )
% 0.82/1.20 , clause( 4, [ 'a_truth'( truthteller( Y ) ), ~( 'a_truth'( says( Y, X ) )
% 0.82/1.20 ), ~( 'a_truth'( X ) ) ] )
% 0.82/1.20 , 1, clause( 21, [ 'a_truth'( says( a, 'equal_type'( b, c ) ) ) ] )
% 0.82/1.20 , 0, substitution( 0, [ :=( X, 'equal_type'( b, c ) ), :=( Y, a )] ),
% 0.82/1.20 substitution( 1, [] )).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 subsumption(
% 0.82/1.20 clause( 54, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'( b
% 0.82/1.20 , c ) ) ) ] )
% 0.82/1.20 , clause( 301, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'(
% 0.82/1.20 b, c ) ) ) ] )
% 0.82/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.20 ).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 resolution(
% 0.82/1.20 clause( 303, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'( c
% 0.86/1.20 , b ) ) ) ] )
% 0.86/1.20 , clause( 54, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'(
% 0.86/1.20 b, c ) ) ) ] )
% 0.86/1.20 , 1, clause( 12, [ 'a_truth'( 'equal_type'( Y, X ) ), ~( 'a_truth'(
% 0.86/1.20 'equal_type'( X, Y ) ) ) ] )
% 0.86/1.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, b )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 58, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'( c
% 0.86/1.20 , b ) ) ) ] )
% 0.86/1.20 , clause( 303, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'(
% 0.86/1.20 c, b ) ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 304, [ 'a_truth'( liar( a ) ), 'a_truth'( 'equal_type'( b, c ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.86/1.20 'a_truth'( X ) ] )
% 0.86/1.20 , 1, clause( 21, [ 'a_truth'( says( a, 'equal_type'( b, c ) ) ) ] )
% 0.86/1.20 , 0, substitution( 0, [ :=( X, 'equal_type'( b, c ) ), :=( Y, a )] ),
% 0.86/1.20 substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 73, [ 'a_truth'( liar( a ) ), 'a_truth'( 'equal_type'( b, c ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , clause( 304, [ 'a_truth'( liar( a ) ), 'a_truth'( 'equal_type'( b, c ) )
% 0.86/1.20 ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 305, [ 'a_truth'( 'equal_type'( c, b ) ), 'a_truth'( liar( a ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , clause( 12, [ 'a_truth'( 'equal_type'( Y, X ) ), ~( 'a_truth'(
% 0.86/1.20 'equal_type'( X, Y ) ) ) ] )
% 0.86/1.20 , 1, clause( 73, [ 'a_truth'( liar( a ) ), 'a_truth'( 'equal_type'( b, c )
% 0.86/1.20 ) ] )
% 0.86/1.20 , 1, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 81, [ 'a_truth'( liar( a ) ), 'a_truth'( 'equal_type'( c, b ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , clause( 305, [ 'a_truth'( 'equal_type'( c, b ) ), 'a_truth'( liar( a ) )
% 0.86/1.20 ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 306, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( liar( c ) ) ),
% 0.86/1.20 'a_truth'( truthteller( b ) ) ] )
% 0.86/1.20 , clause( 45, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( 'equal_type'( c
% 0.86/1.20 , b ) ) ) ] )
% 0.86/1.20 , 1, clause( 11, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( truthteller( Y )
% 0.86/1.20 ), 'a_truth'( 'equal_type'( X, Y ) ) ] )
% 0.86/1.20 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, b )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 91, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) ),
% 0.86/1.20 ~( 'a_truth'( liar( c ) ) ) ] )
% 0.86/1.20 , clause( 306, [ ~( 'a_truth'( liar( a ) ) ), ~( 'a_truth'( liar( c ) ) ),
% 0.86/1.20 'a_truth'( truthteller( b ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.86/1.20 , 0 )] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 308, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) ),
% 0.86/1.20 'a_truth'( truthteller( c ) ) ] )
% 0.86/1.20 , clause( 91, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) )
% 0.86/1.20 , ~( 'a_truth'( liar( c ) ) ) ] )
% 0.86/1.20 , 2, clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 112, [ 'a_truth'( truthteller( b ) ), 'a_truth'( truthteller( c ) )
% 0.86/1.20 , ~( 'a_truth'( liar( a ) ) ) ] )
% 0.86/1.20 , clause( 308, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) )
% 0.86/1.20 , 'a_truth'( truthteller( c ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.86/1.20 , 1 )] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 309, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( truthteller(
% 0.86/1.20 b ) ), 'a_truth'( liar( a ) ) ] )
% 0.86/1.20 , clause( 8, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller(
% 0.86/1.20 Y ) ), ~( 'a_truth'( 'equal_type'( X, Y ) ) ) ] )
% 0.86/1.20 , 2, clause( 81, [ 'a_truth'( liar( a ) ), 'a_truth'( 'equal_type'( c, b )
% 0.86/1.20 ) ] )
% 0.86/1.20 , 1, substitution( 0, [ :=( X, c ), :=( Y, b )] ), substitution( 1, [] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 117, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( truthteller( c
% 0.86/1.20 ) ) ), 'a_truth'( liar( a ) ) ] )
% 0.86/1.20 , clause( 309, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( truthteller(
% 0.86/1.20 b ) ), 'a_truth'( liar( a ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.86/1.20 , 2 )] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 311, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( truthteller( c
% 0.86/1.20 ) ) ), 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , clause( 58, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( 'equal_type'(
% 0.86/1.20 c, b ) ) ) ] )
% 0.86/1.20 , 1, clause( 10, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( liar( Y )
% 0.86/1.20 ), 'a_truth'( 'equal_type'( X, Y ) ) ] )
% 0.86/1.20 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, b )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 159, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( truthteller(
% 0.86/1.20 a ) ), 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , clause( 311, [ 'a_truth'( truthteller( a ) ), ~( 'a_truth'( truthteller(
% 0.86/1.20 c ) ) ), 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.86/1.20 , 2 )] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 314, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.86/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , clause( 23, [ ~( answer( X ) ) ] )
% 0.86/1.20 , 0, clause( 13, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( Y ) )
% 0.86/1.20 , answer( yes ), ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , 2, substitution( 0, [ :=( X, yes )] ), substitution( 1, [ :=( X, X ),
% 0.86/1.20 :=( Y, Y )] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 178, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.86/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , clause( 314, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( Y ) ),
% 0.86/1.20 ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.20 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 316, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.86/1.20 'equal_type'( a, b ) ) ) ] )
% 0.86/1.20 , clause( 178, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( Y ) ),
% 0.86/1.20 ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , 2, clause( 22, [ 'ask_1_if_2'( c, 'equal_type'( a, b ) ) ] )
% 0.86/1.20 , 0, substitution( 0, [ :=( X, c ), :=( Y, 'equal_type'( a, b ) )] ),
% 0.86/1.20 substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 179, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.86/1.20 'equal_type'( a, b ) ) ) ] )
% 0.86/1.20 , clause( 316, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.86/1.20 'equal_type'( a, b ) ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 317, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( a ) ) ), 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , clause( 179, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.86/1.20 'equal_type'( a, b ) ) ) ] )
% 0.86/1.20 , 1, clause( 10, [ ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( liar( Y )
% 0.86/1.20 ), 'a_truth'( 'equal_type'( X, Y ) ) ] )
% 0.86/1.20 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 318, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) ),
% 0.86/1.20 ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , clause( 317, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( a ) ) ), 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , 1, clause( 159, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'(
% 0.86/1.20 truthteller( a ) ), 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 factor(
% 0.86/1.20 clause( 319, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) ),
% 0.86/1.20 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , clause( 318, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) )
% 0.86/1.20 , ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , 0, 2, substitution( 0, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 factor(
% 0.86/1.20 clause( 320, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , clause( 319, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) )
% 0.86/1.20 , 'a_truth'( liar( b ) ) ] )
% 0.86/1.20 , 1, 2, substitution( 0, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 180, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , clause( 320, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b ) )
% 0.86/1.20 ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 322, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'( liar( a )
% 0.86/1.20 ) ), 'a_truth'( truthteller( b ) ) ] )
% 0.86/1.20 , clause( 179, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.86/1.20 'equal_type'( a, b ) ) ) ] )
% 0.86/1.20 , 1, clause( 11, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( truthteller( Y )
% 0.86/1.20 ), 'a_truth'( 'equal_type'( X, Y ) ) ] )
% 0.86/1.20 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 323, [ ~( 'a_truth'( liar( a ) ) ), 'a_truth'( truthteller( b ) ),
% 0.86/1.20 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) ) ] )
% 0.86/1.20 , clause( 322, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'( liar( a
% 0.86/1.20 ) ) ), 'a_truth'( truthteller( b ) ) ] )
% 0.86/1.20 , 0, clause( 112, [ 'a_truth'( truthteller( b ) ), 'a_truth'( truthteller(
% 0.86/1.20 c ) ), ~( 'a_truth'( liar( a ) ) ) ] )
% 0.86/1.20 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 factor(
% 0.86/1.20 clause( 324, [ ~( 'a_truth'( liar( a ) ) ), 'a_truth'( truthteller( b ) ),
% 0.86/1.20 'a_truth'( truthteller( b ) ) ] )
% 0.86/1.20 , clause( 323, [ ~( 'a_truth'( liar( a ) ) ), 'a_truth'( truthteller( b ) )
% 0.86/1.20 , 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) ) ] )
% 0.86/1.20 , 0, 3, substitution( 0, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 factor(
% 0.86/1.20 clause( 325, [ ~( 'a_truth'( liar( a ) ) ), 'a_truth'( truthteller( b ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , clause( 324, [ ~( 'a_truth'( liar( a ) ) ), 'a_truth'( truthteller( b ) )
% 0.86/1.20 , 'a_truth'( truthteller( b ) ) ] )
% 0.86/1.20 , 1, 2, substitution( 0, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 181, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , clause( 325, [ ~( 'a_truth'( liar( a ) ) ), 'a_truth'( truthteller( b ) )
% 0.86/1.20 ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 326, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( c ) ) ) ] )
% 0.86/1.20 , clause( 1, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X )
% 0.86/1.20 ) ) ] )
% 0.86/1.20 , 1, clause( 180, [ ~( 'a_truth'( truthteller( c ) ) ), 'a_truth'( liar( b
% 0.86/1.20 ) ) ] )
% 0.86/1.20 , 1, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 188, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( c ) ) ) ] )
% 0.86/1.20 , clause( 326, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( c ) ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 327, [ 'a_truth'( truthteller( b ) ), 'a_truth'( truthteller( b ) )
% 0.86/1.20 , ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.86/1.20 , clause( 181, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( liar( a ) ) )
% 0.86/1.20 ] )
% 0.86/1.20 , 1, clause( 117, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( c ) ) ), 'a_truth'( liar( a ) ) ] )
% 0.86/1.20 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 factor(
% 0.86/1.20 clause( 328, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'( truthteller( c
% 0.86/1.20 ) ) ) ] )
% 0.86/1.20 , clause( 327, [ 'a_truth'( truthteller( b ) ), 'a_truth'( truthteller( b )
% 0.86/1.20 ), ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.86/1.20 , 0, 1, substitution( 0, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 331, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( c ) ) ) ] )
% 0.86/1.20 , clause( 188, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( c ) ) ) ] )
% 0.86/1.20 , 0, clause( 328, [ 'a_truth'( truthteller( b ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( c ) ) ) ] )
% 0.86/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 factor(
% 0.86/1.20 clause( 332, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.86/1.20 , clause( 331, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'(
% 0.86/1.20 truthteller( c ) ) ) ] )
% 0.86/1.20 , 0, 1, substitution( 0, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 193, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.86/1.20 , clause( 332, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 335, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.86/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , clause( 23, [ ~( answer( X ) ) ] )
% 0.86/1.20 , 0, clause( 15, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), answer(
% 0.86/1.20 no ), ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , 2, substitution( 0, [ :=( X, no )] ), substitution( 1, [ :=( X, X ), :=(
% 0.86/1.20 Y, Y )] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 202, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.86/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , clause( 335, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.86/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.20 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 337, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( 'equal_type'( a,
% 0.86/1.20 b ) ) ) ] )
% 0.86/1.20 , clause( 202, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.86/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , 2, clause( 22, [ 'ask_1_if_2'( c, 'equal_type'( a, b ) ) ] )
% 0.86/1.20 , 0, substitution( 0, [ :=( X, c ), :=( Y, 'equal_type'( a, b ) )] ),
% 0.86/1.20 substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 203, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( 'equal_type'( a,
% 0.86/1.20 b ) ) ) ] )
% 0.86/1.20 , clause( 337, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( 'equal_type'( a
% 0.86/1.20 , b ) ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.86/1.20 ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 338, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( Y ), ~( 'ask_1_if_2'(
% 0.86/1.20 X, Y ) ) ] )
% 0.86/1.20 , clause( 23, [ ~( answer( X ) ) ] )
% 0.86/1.20 , 0, clause( 16, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( Y ), answer( yes
% 0.86/1.20 ), ~( 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , 2, substitution( 0, [ :=( X, yes )] ), substitution( 1, [ :=( X, X ),
% 0.86/1.20 :=( Y, Y )] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 211, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( Y ), ~( 'ask_1_if_2'(
% 0.86/1.20 X, Y ) ) ] )
% 0.86/1.20 , clause( 338, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( Y ), ~(
% 0.86/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.20 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 339, [ ~( 'a_truth'( liar( c ) ) ), 'a_truth'( 'equal_type'( a, b )
% 0.86/1.20 ) ] )
% 0.86/1.20 , clause( 211, [ ~( 'a_truth'( liar( X ) ) ), 'a_truth'( Y ), ~(
% 0.86/1.20 'ask_1_if_2'( X, Y ) ) ] )
% 0.86/1.20 , 2, clause( 22, [ 'ask_1_if_2'( c, 'equal_type'( a, b ) ) ] )
% 0.86/1.20 , 0, substitution( 0, [ :=( X, c ), :=( Y, 'equal_type'( a, b ) )] ),
% 0.86/1.20 substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 340, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( liar( c ) ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , clause( 203, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( 'equal_type'( a
% 0.86/1.20 , b ) ) ) ] )
% 0.86/1.20 , 1, clause( 339, [ ~( 'a_truth'( liar( c ) ) ), 'a_truth'( 'equal_type'( a
% 0.86/1.20 , b ) ) ] )
% 0.86/1.20 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 factor(
% 0.86/1.20 clause( 341, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.86/1.20 , clause( 340, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( liar( c ) ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , 0, 1, substitution( 0, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 212, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.86/1.20 , clause( 341, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 342, [ 'a_truth'( truthteller( c ) ) ] )
% 0.86/1.20 , clause( 212, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.86/1.20 , 0, clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ]
% 0.86/1.20 )
% 0.86/1.20 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 resolution(
% 0.86/1.20 clause( 343, [] )
% 0.86/1.20 , clause( 193, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.86/1.20 , 0, clause( 342, [ 'a_truth'( truthteller( c ) ) ] )
% 0.86/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 subsumption(
% 0.86/1.20 clause( 217, [] )
% 0.86/1.20 , clause( 343, [] )
% 0.86/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 end.
% 0.86/1.20
% 0.86/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.20
% 0.86/1.20 Memory use:
% 0.86/1.20
% 0.86/1.20 space for terms: 3332
% 0.86/1.20 space for clauses: 9589
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 clauses generated: 283
% 0.86/1.20 clauses kept: 218
% 0.86/1.20 clauses selected: 62
% 0.86/1.20 clauses deleted: 6
% 0.86/1.20 clauses inuse deleted: 0
% 0.86/1.20
% 0.86/1.20 subsentry: 596
% 0.86/1.20 literals s-matched: 478
% 0.86/1.20 literals matched: 478
% 0.86/1.20 full subsumption: 219
% 0.86/1.20
% 0.86/1.20 checksum: 2066906611
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 Bliksem ended
%------------------------------------------------------------------------------