%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 0.69s 1.11s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat May 28 21:45:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/1.11 *** allocated 10000 integers for termspace/termends
% 0.69/1.11 *** allocated 10000 integers for clauses
% 0.69/1.11 *** allocated 10000 integers for justifications
% 0.69/1.11 Bliksem 1.12
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Automatic Strategy Selection
% 0.69/1.11
% 0.69/1.11 Clauses:
% 0.69/1.11 [
% 0.69/1.11 [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ],
% 0.69/1.11 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X ) ) ) ],
% 0.69/1.11 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ),
% 0.69/1.11 'a_truth'( Y ) ],
% 0.69/1.11 [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ), ~(
% 0.69/1.11 'a_truth'( Y ) ) ],
% 0.69/1.11 [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.69/1.11 truthteller( Y ) ) ],
% 0.69/1.11 [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'( liar( Y ) )
% 0.69/1.11 ],
% 0.69/1.11 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( 'one_truthteller' ) ), 'a_truth'(
% 0.69/1.11 truthteller( X ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'( truthteller(
% 0.69/1.11 Z ) ) ],
% 0.69/1.11 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) ), ~(
% 0.69/1.11 'a_truth'( truthteller( Y ) ) ), ~( 'a_truth'( 'one_truthteller' ) ) ]
% 0.69/1.11 ,
% 0.69/1.11 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) ), ~(
% 0.69/1.11 'a_truth'( truthteller( Z ) ) ), ~( 'a_truth'( 'one_truthteller' ) ) ]
% 0.69/1.11 ,
% 0.69/1.11 [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( Y ) ) ), ~(
% 0.69/1.11 'a_truth'( truthteller( Z ) ) ), ~( 'a_truth'( 'one_truthteller' ) ) ]
% 0.69/1.11 ,
% 0.69/1.11 [ ~( people( X, Y, Z ) ), 'a_truth'( 'one_truthteller' ), ~( 'a_truth'(
% 0.69/1.11 truthteller( X ) ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'(
% 0.69/1.11 truthteller( Z ) ) ],
% 0.69/1.11 [ ~( people( X, Y, Z ) ), 'a_truth'( 'one_truthteller' ), ~( 'a_truth'(
% 0.69/1.11 truthteller( Y ) ) ), 'a_truth'( truthteller( X ) ), 'a_truth'(
% 0.69/1.11 truthteller( Z ) ) ],
% 0.69/1.11 [ ~( people( X, Y, Z ) ), 'a_truth'( 'one_truthteller' ), ~( 'a_truth'(
% 0.69/1.11 truthteller( Z ) ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'(
% 0.69/1.11 truthteller( X ) ) ],
% 0.69/1.11 [ people( a, b, c ) ],
% 0.69/1.11 [ 'a_truth'( says( a, garbage ) ) ],
% 0.69/1.11 [ 'a_truth'( says( b, says( a, 'one_truthteller' ) ) ) ],
% 0.69/1.11 [ 'a_truth'( says( c, liar( b ) ) ) ],
% 0.69/1.11 [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( liar( c ) ) ), 'an_answer'(
% 0.69/1.11 'b_and_c_liars' ) ],
% 0.69/1.11 [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( truthteller( c ) ) ),
% 0.69/1.11 'an_answer'( 'b_liar_and_c_truthteller' ) ],
% 0.69/1.11 [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c ) ) ),
% 0.69/1.11 'an_answer'( 'b_truthteller_and_c_liar' ) ],
% 0.69/1.11 [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( truthteller( c ) ) )
% 0.69/1.11 , 'an_answer'( 'b_and_c_truthtellers' ) ],
% 0.69/1.11 [ ~( 'an_answer'( X ) ) ]
% 0.69/1.11 ] .
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 percentage equality = 0.000000, percentage horn = 0.727273
% 0.69/1.11 This a non-horn, non-equality problem
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Options Used:
% 0.69/1.11
% 0.69/1.11 useres = 1
% 0.69/1.11 useparamod = 0
% 0.69/1.11 useeqrefl = 0
% 0.69/1.11 useeqfact = 0
% 0.69/1.11 usefactor = 1
% 0.69/1.11 usesimpsplitting = 0
% 0.69/1.11 usesimpdemod = 0
% 0.69/1.11 usesimpres = 3
% 0.69/1.11
% 0.69/1.11 resimpinuse = 1000
% 0.69/1.11 resimpclauses = 20000
% 0.69/1.11 substype = standard
% 0.69/1.11 backwardsubs = 1
% 0.69/1.11 selectoldest = 5
% 0.69/1.11
% 0.69/1.11 litorderings [0] = split
% 0.69/1.11 litorderings [1] = liftord
% 0.69/1.11
% 0.69/1.11 termordering = none
% 0.69/1.11
% 0.69/1.11 litapriori = 1
% 0.69/1.11 termapriori = 0
% 0.69/1.11 litaposteriori = 0
% 0.69/1.11 termaposteriori = 0
% 0.69/1.11 demodaposteriori = 0
% 0.69/1.11 ordereqreflfact = 0
% 0.69/1.11
% 0.69/1.11 litselect = none
% 0.69/1.11
% 0.69/1.11 maxweight = 15
% 0.69/1.11 maxdepth = 30000
% 0.69/1.11 maxlength = 115
% 0.69/1.11 maxnrvars = 195
% 0.69/1.11 excuselevel = 1
% 0.69/1.11 increasemaxweight = 1
% 0.69/1.11
% 0.69/1.11 maxselected = 10000000
% 0.69/1.11 maxnrclauses = 10000000
% 0.69/1.11
% 0.69/1.11 showgenerated = 0
% 0.69/1.11 showkept = 0
% 0.69/1.11 showselected = 0
% 0.69/1.11 showdeleted = 0
% 0.69/1.11 showresimp = 1
% 0.69/1.11 showstatus = 2000
% 0.69/1.11
% 0.69/1.11 prologoutput = 1
% 0.69/1.11 nrgoals = 5000000
% 0.69/1.11 totalproof = 1
% 0.69/1.11
% 0.69/1.11 Symbols occurring in the translation:
% 0.69/1.11
% 0.69/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.11 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.69/1.11 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.69/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.11 truthteller [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.69/1.11 'a_truth' [41, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.69/1.11 liar [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.69/1.11 says [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.69/1.11 people [49, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.69/1.11 'one_truthteller' [50, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.69/1.11 a [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.69/1.11 b [52, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.69/1.11 c [53, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.69/1.11 garbage [54, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.11 'b_and_c_liars' [55, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.69/1.11 'an_answer' [56, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.69/1.11 'b_liar_and_c_truthteller' [57, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.11 'b_truthteller_and_c_liar' [58, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.11 'b_and_c_truthtellers' [59, 0] (w:1, o:21, a:1, s:1, b:0).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Starting Search:
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Bliksems!, er is een bewijs:
% 0.69/1.11 % SZS status Unsatisfiable
% 0.69/1.11 % SZS output start Refutation
% 0.69/1.11
% 0.69/1.11 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.69/1.11 says( X, Y ) ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.69/1.11 'a_truth'( X ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 16, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 18, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'( liar( b ) )
% 0.69/1.11 ), 'an_answer'( 'b_liar_and_c_truthteller' ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 19, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c ) )
% 0.69/1.11 ), 'an_answer'( 'b_truthteller_and_c_liar' ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 21, [ ~( 'an_answer'( X ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 57, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( liar( c ) ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 65, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 .
% 0.69/1.11 clause( 105, [ 'a_truth'( liar( b ) ), 'a_truth'( liar( c ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 178, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c )
% 0.69/1.11 ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 179, [ 'a_truth'( liar( b ) ) ] )
% 0.69/1.11 .
% 0.69/1.11 clause( 198, [] )
% 0.69/1.11 .
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 % SZS output end Refutation
% 0.69/1.11 found a proof!
% 0.69/1.11
% 0.69/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.11
% 0.69/1.11 initialclauses(
% 0.69/1.11 [ clause( 200, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.69/1.11 , clause( 201, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X
% 0.69/1.11 ) ) ) ] )
% 0.69/1.11 , clause( 202, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X
% 0.69/1.11 , Y ) ) ), 'a_truth'( Y ) ] )
% 0.69/1.11 , clause( 203, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) )
% 0.69/1.11 ), ~( 'a_truth'( Y ) ) ] )
% 0.69/1.11 , clause( 204, [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.69/1.11 'a_truth'( truthteller( Y ) ) ] )
% 0.69/1.11 , clause( 205, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.69/1.11 liar( Y ) ) ] )
% 0.69/1.11 , clause( 206, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( 'one_truthteller' )
% 0.69/1.11 ), 'a_truth'( truthteller( X ) ), 'a_truth'( truthteller( Y ) ),
% 0.69/1.11 'a_truth'( truthteller( Z ) ) ] )
% 0.69/1.11 , clause( 207, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) )
% 0.69/1.11 , ~( 'a_truth'( truthteller( Y ) ) ), ~( 'a_truth'( 'one_truthteller' ) )
% 0.69/1.11 ] )
% 0.69/1.11 , clause( 208, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) )
% 0.69/1.11 , ~( 'a_truth'( truthteller( Z ) ) ), ~( 'a_truth'( 'one_truthteller' ) )
% 0.69/1.11 ] )
% 0.69/1.11 , clause( 209, [ ~( people( X, Y, Z ) ), ~( 'a_truth'( truthteller( Y ) ) )
% 0.69/1.11 , ~( 'a_truth'( truthteller( Z ) ) ), ~( 'a_truth'( 'one_truthteller' ) )
% 0.69/1.11 ] )
% 0.69/1.11 , clause( 210, [ ~( people( X, Y, Z ) ), 'a_truth'( 'one_truthteller' ),
% 0.69/1.11 ~( 'a_truth'( truthteller( X ) ) ), 'a_truth'( truthteller( Y ) ),
% 0.69/1.11 'a_truth'( truthteller( Z ) ) ] )
% 0.69/1.11 , clause( 211, [ ~( people( X, Y, Z ) ), 'a_truth'( 'one_truthteller' ),
% 0.69/1.11 ~( 'a_truth'( truthteller( Y ) ) ), 'a_truth'( truthteller( X ) ),
% 0.69/1.11 'a_truth'( truthteller( Z ) ) ] )
% 0.69/1.11 , clause( 212, [ ~( people( X, Y, Z ) ), 'a_truth'( 'one_truthteller' ),
% 0.69/1.11 ~( 'a_truth'( truthteller( Z ) ) ), 'a_truth'( truthteller( Y ) ),
% 0.69/1.11 'a_truth'( truthteller( X ) ) ] )
% 0.69/1.11 , clause( 213, [ people( a, b, c ) ] )
% 0.69/1.11 , clause( 214, [ 'a_truth'( says( a, garbage ) ) ] )
% 0.69/1.11 , clause( 215, [ 'a_truth'( says( b, says( a, 'one_truthteller' ) ) ) ] )
% 0.69/1.11 , clause( 216, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.69/1.11 , clause( 217, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( liar( c ) ) ),
% 0.69/1.11 'an_answer'( 'b_and_c_liars' ) ] )
% 0.69/1.11 , clause( 218, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( truthteller( c
% 0.69/1.11 ) ) ), 'an_answer'( 'b_liar_and_c_truthteller' ) ] )
% 0.69/1.11 , clause( 219, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c
% 0.69/1.11 ) ) ), 'an_answer'( 'b_truthteller_and_c_liar' ) ] )
% 0.69/1.11 , clause( 220, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'(
% 0.69/1.11 truthteller( c ) ) ), 'an_answer'( 'b_and_c_truthtellers' ) ] )
% 0.69/1.11 , clause( 221, [ ~( 'an_answer'( X ) ) ] )
% 0.69/1.11 ] ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.69/1.11 , clause( 200, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.11 1 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.69/1.11 says( X, Y ) ) ) ] )
% 0.69/1.11 , clause( 203, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) )
% 0.69/1.11 ), ~( 'a_truth'( Y ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.69/1.11 'a_truth'( X ) ] )
% 0.69/1.11 , clause( 205, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.69/1.11 liar( Y ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.69/1.11 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 16, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.69/1.11 , clause( 216, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 18, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'( liar( b ) )
% 0.69/1.11 ), 'an_answer'( 'b_liar_and_c_truthteller' ) ] )
% 0.69/1.11 , clause( 218, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( truthteller( c
% 0.69/1.11 ) ) ), 'an_answer'( 'b_liar_and_c_truthteller' ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.11 , 2 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 19, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c ) )
% 0.69/1.11 ), 'an_answer'( 'b_truthteller_and_c_liar' ) ] )
% 0.69/1.11 , clause( 219, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c
% 0.69/1.11 ) ) ), 'an_answer'( 'b_truthteller_and_c_liar' ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.11 , 2 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 21, [ ~( 'an_answer'( X ) ) ] )
% 0.69/1.11 , clause( 221, [ ~( 'an_answer'( X ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 274, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.69/1.11 'a_truth'( says( X, Y ) ) ) ] )
% 0.69/1.11 , 2, clause( 16, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, c ), :=( Y, liar( b ) )] ), substitution( 1
% 0.69/1.11 , [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 57, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( liar( c ) ) ) ] )
% 0.69/1.11 , clause( 274, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 276, [ ~( 'a_truth'( liar( b ) ) ), 'a_truth'( truthteller( c ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 57, [ ~( 'a_truth'( liar( b ) ) ), ~( 'a_truth'( liar( c ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 1, clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 65, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 276, [ ~( 'a_truth'( liar( b ) ) ), 'a_truth'( truthteller( c ) )
% 0.69/1.11 ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 277, [ 'a_truth'( liar( c ) ), 'a_truth'( liar( b ) ) ] )
% 0.69/1.11 , clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.69/1.11 'a_truth'( X ) ] )
% 0.69/1.11 , 1, clause( 16, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, liar( b ) ), :=( Y, c )] ), substitution( 1
% 0.69/1.11 , [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 105, [ 'a_truth'( liar( b ) ), 'a_truth'( liar( c ) ) ] )
% 0.69/1.11 , clause( 277, [ 'a_truth'( liar( c ) ), 'a_truth'( liar( b ) ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 278, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c )
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , clause( 21, [ ~( 'an_answer'( X ) ) ] )
% 0.69/1.11 , 0, clause( 19, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar(
% 0.69/1.11 c ) ) ), 'an_answer'( 'b_truthteller_and_c_liar' ) ] )
% 0.69/1.11 , 2, substitution( 0, [ :=( X, 'b_truthteller_and_c_liar' )] ),
% 0.69/1.11 substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 178, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c )
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , clause( 278, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c
% 0.69/1.11 ) ) ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 279, [ ~( 'a_truth'( truthteller( b ) ) ), 'a_truth'( liar( b ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 178, [ ~( 'a_truth'( truthteller( b ) ) ), ~( 'a_truth'( liar( c
% 0.69/1.11 ) ) ) ] )
% 0.69/1.11 , 1, clause( 105, [ 'a_truth'( liar( b ) ), 'a_truth'( liar( c ) ) ] )
% 0.69/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 280, [ 'a_truth'( liar( b ) ), 'a_truth'( liar( b ) ) ] )
% 0.69/1.11 , clause( 279, [ ~( 'a_truth'( truthteller( b ) ) ), 'a_truth'( liar( b ) )
% 0.69/1.11 ] )
% 0.69/1.11 , 0, clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 factor(
% 0.69/1.11 clause( 281, [ 'a_truth'( liar( b ) ) ] )
% 0.69/1.11 , clause( 280, [ 'a_truth'( liar( b ) ), 'a_truth'( liar( b ) ) ] )
% 0.69/1.11 , 0, 1, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 179, [ 'a_truth'( liar( b ) ) ] )
% 0.69/1.11 , clause( 281, [ 'a_truth'( liar( b ) ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 282, [ ~( 'a_truth'( liar( b ) ) ), 'an_answer'(
% 0.69/1.11 'b_liar_and_c_truthteller' ), ~( 'a_truth'( liar( b ) ) ) ] )
% 0.69/1.11 , clause( 18, [ ~( 'a_truth'( truthteller( c ) ) ), ~( 'a_truth'( liar( b )
% 0.69/1.11 ) ), 'an_answer'( 'b_liar_and_c_truthteller' ) ] )
% 0.69/1.11 , 0, clause( 65, [ 'a_truth'( truthteller( c ) ), ~( 'a_truth'( liar( b ) )
% 0.69/1.11 ) ] )
% 0.69/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 factor(
% 0.69/1.11 clause( 283, [ ~( 'a_truth'( liar( b ) ) ), 'an_answer'(
% 0.69/1.11 'b_liar_and_c_truthteller' ) ] )
% 0.69/1.11 , clause( 282, [ ~( 'a_truth'( liar( b ) ) ), 'an_answer'(
% 0.69/1.11 'b_liar_and_c_truthteller' ), ~( 'a_truth'( liar( b ) ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 284, [ 'an_answer'( 'b_liar_and_c_truthteller' ) ] )
% 0.69/1.11 , clause( 283, [ ~( 'a_truth'( liar( b ) ) ), 'an_answer'(
% 0.69/1.11 'b_liar_and_c_truthteller' ) ] )
% 0.69/1.11 , 0, clause( 179, [ 'a_truth'( liar( b ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 285, [] )
% 0.69/1.11 , clause( 21, [ ~( 'an_answer'( X ) ) ] )
% 0.69/1.11 , 0, clause( 284, [ 'an_answer'( 'b_liar_and_c_truthteller' ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, 'b_liar_and_c_truthteller' )] ),
% 0.69/1.11 substitution( 1, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 198, [] )
% 0.69/1.11 , clause( 285, [] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 end.
% 0.69/1.11
% 0.69/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.11
% 0.69/1.11 Memory use:
% 0.69/1.11
% 0.69/1.11 space for terms: 2949
% 0.69/1.11 space for clauses: 8622
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 clauses generated: 257
% 0.69/1.11 clauses kept: 199
% 0.69/1.11 clauses selected: 60
% 0.69/1.11 clauses deleted: 9
% 0.69/1.11 clauses inuse deleted: 0
% 0.69/1.11
% 0.69/1.11 subsentry: 434
% 0.69/1.11 literals s-matched: 301
% 0.69/1.11 literals matched: 289
% 0.69/1.11 full subsumption: 127
% 0.69/1.11
% 0.69/1.11 checksum: 74636007
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Bliksem ended
%------------------------------------------------------------------------------