TSTP Solution File: PUZ024-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 0.43s 0.85s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.09 % Command : bliksem %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % DateTime : Sun May 29 01:17:26 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.43/0.85 *** allocated 10000 integers for termspace/termends
% 0.43/0.85 *** allocated 10000 integers for clauses
% 0.43/0.85 *** allocated 10000 integers for justifications
% 0.43/0.85 Bliksem 1.12
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 Automatic Strategy Selection
% 0.43/0.85
% 0.43/0.85 Clauses:
% 0.43/0.85 [
% 0.43/0.85 [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ],
% 0.43/0.85 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X ) ) ) ],
% 0.43/0.85 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ),
% 0.43/0.85 'a_truth'( Y ) ],
% 0.43/0.85 [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ), ~(
% 0.43/0.85 'a_truth'( Y ) ) ],
% 0.43/0.85 [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.43/0.85 truthteller( Y ) ) ],
% 0.43/0.85 [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'( liar( Y ) )
% 0.43/0.85 ],
% 0.43/0.85 [ ~( 'a_truth'( says( X, 'one_truthteller' ) ) ), ~( people( X, Y, Z ) )
% 0.43/0.85 , ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( truthteller( Y ) ) )
% 0.43/0.85 , ~( 'a_truth'( truthteller( Z ) ) ) ],
% 0.43/0.85 [ ~( 'a_truth'( 'one_truthteller' ) ), ~( people( X, Y, Z ) ), 'a_truth'(
% 0.43/0.85 truthteller( X ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'( truthteller(
% 0.43/0.85 Z ) ) ],
% 0.43/0.85 [ ~( 'a_truth'( 'one_truthteller' ) ), ~( people( X, Y, Z ) ), ~(
% 0.43/0.85 'a_truth'( truthteller( Y ) ) ), ~( 'a_truth'( truthteller( X ) ) ), ~(
% 0.43/0.85 'a_truth'( truthteller( Z ) ) ) ],
% 0.43/0.85 [ ~( 'a_truth'( 'one_truthteller' ) ), ~( people( X, Y, Z ) ), ~(
% 0.43/0.85 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y ) ) ), 'a_truth'(
% 0.43/0.85 liar( Z ) ) ],
% 0.43/0.85 [ 'a_truth'( 'one_truthteller' ), ~( people( X, Y, Z ) ), ~( 'a_truth'(
% 0.43/0.85 liar( X ) ) ), ~( 'a_truth'( truthteller( Y ) ) ), 'a_truth'( truthteller(
% 0.43/0.85 Z ) ) ],
% 0.43/0.85 [ 'a_truth'( 'one_truthteller' ), ~( people( X, Y, Z ) ), ~( 'a_truth'(
% 0.43/0.85 liar( X ) ) ), ~( 'a_truth'( liar( Y ) ) ), 'a_truth'( liar( Z ) ) ],
% 0.43/0.85 [ ~( 'a_truth'( says( X, 'all_are_liars' ) ) ), ~( people( X, Y, Z ) ),
% 0.43/0.85 ~( 'a_truth'( truthteller( X ) ) ) ],
% 0.43/0.85 [ 'a_truth'( 'all_are_liars' ), ~( people( X, Y, Z ) ), 'a_truth'(
% 0.43/0.85 truthteller( X ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'( truthteller(
% 0.43/0.85 Z ) ) ],
% 0.43/0.85 [ people( b, c, a ) ],
% 0.43/0.85 [ people( a, c, b ) ],
% 0.43/0.85 [ people( c, b, a ) ],
% 0.43/0.85 [ 'a_truth'( says( a, 'all_are_liars' ) ) ],
% 0.43/0.85 [ 'a_truth'( says( b, 'one_truthteller' ) ) ],
% 0.43/0.85 [ ~( 'a_truth'( truthteller( X ) ) ) ]
% 0.43/0.85 ] .
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 percentage equality = 0.000000, percentage horn = 0.700000
% 0.43/0.85 This a non-horn, non-equality problem
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 Options Used:
% 0.43/0.85
% 0.43/0.85 useres = 1
% 0.43/0.85 useparamod = 0
% 0.43/0.85 useeqrefl = 0
% 0.43/0.85 useeqfact = 0
% 0.43/0.85 usefactor = 1
% 0.43/0.85 usesimpsplitting = 0
% 0.43/0.85 usesimpdemod = 0
% 0.43/0.85 usesimpres = 3
% 0.43/0.85
% 0.43/0.85 resimpinuse = 1000
% 0.43/0.85 resimpclauses = 20000
% 0.43/0.85 substype = standard
% 0.43/0.85 backwardsubs = 1
% 0.43/0.85 selectoldest = 5
% 0.43/0.85
% 0.43/0.85 litorderings [0] = split
% 0.43/0.85 litorderings [1] = liftord
% 0.43/0.85
% 0.43/0.85 termordering = none
% 0.43/0.85
% 0.43/0.85 litapriori = 1
% 0.43/0.85 termapriori = 0
% 0.43/0.85 litaposteriori = 0
% 0.43/0.85 termaposteriori = 0
% 0.43/0.85 demodaposteriori = 0
% 0.43/0.85 ordereqreflfact = 0
% 0.43/0.85
% 0.43/0.85 litselect = none
% 0.43/0.85
% 0.43/0.85 maxweight = 15
% 0.43/0.85 maxdepth = 30000
% 0.43/0.85 maxlength = 115
% 0.43/0.85 maxnrvars = 195
% 0.43/0.85 excuselevel = 1
% 0.43/0.85 increasemaxweight = 1
% 0.43/0.85
% 0.43/0.85 maxselected = 10000000
% 0.43/0.85 maxnrclauses = 10000000
% 0.43/0.85
% 0.43/0.85 showgenerated = 0
% 0.43/0.85 showkept = 0
% 0.43/0.85 showselected = 0
% 0.43/0.85 showdeleted = 0
% 0.43/0.85 showresimp = 1
% 0.43/0.85 showstatus = 2000
% 0.43/0.85
% 0.43/0.85 prologoutput = 1
% 0.43/0.85 nrgoals = 5000000
% 0.43/0.85 totalproof = 1
% 0.43/0.85
% 0.43/0.85 Symbols occurring in the translation:
% 0.43/0.85
% 0.43/0.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/0.85 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.43/0.85 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.43/0.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/0.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/0.85 truthteller [40, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.43/0.85 'a_truth' [41, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/0.85 liar [42, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.43/0.85 says [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.43/0.85 'one_truthteller' [47, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.43/0.85 people [50, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.43/0.85 'all_are_liars' [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.43/0.85 b [52, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.43/0.85 c [53, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.43/0.85 a [54, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 Starting Search:
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 Bliksems!, er is een bewijs:
% 0.43/0.85 % SZS status Unsatisfiable
% 0.43/0.85 % SZS output start Refutation
% 0.43/0.85
% 0.43/0.85 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.43/0.85 says( X, Y ) ) ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 13, [ 'a_truth'( 'all_are_liars' ), 'a_truth'( truthteller( X ) ),
% 0.43/0.85 'a_truth'( truthteller( Y ) ), 'a_truth'( truthteller( Z ) ), ~( people(
% 0.43/0.85 X, Y, Z ) ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 14, [ people( b, c, a ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 17, [ 'a_truth'( says( a, 'all_are_liars' ) ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 19, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 29, [ 'a_truth'( liar( X ) ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 32, [ ~( 'a_truth'( says( X, Y ) ) ), ~( 'a_truth'( Y ) ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 33, [ ~( 'a_truth'( 'all_are_liars' ) ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 39, [ ~( people( X, Y, Z ) ) ] )
% 0.43/0.85 .
% 0.43/0.85 clause( 40, [] )
% 0.43/0.85 .
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 % SZS output end Refutation
% 0.43/0.85 found a proof!
% 0.43/0.85
% 0.43/0.85 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/0.85
% 0.43/0.85 initialclauses(
% 0.43/0.85 [ clause( 42, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.43/0.85 , clause( 43, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X )
% 0.43/0.85 ) ) ] )
% 0.43/0.85 , clause( 44, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X,
% 0.43/0.85 Y ) ) ), 'a_truth'( Y ) ] )
% 0.43/0.85 , clause( 45, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) )
% 0.43/0.85 , ~( 'a_truth'( Y ) ) ] )
% 0.43/0.85 , clause( 46, [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.43/0.85 'a_truth'( truthteller( Y ) ) ] )
% 0.43/0.85 , clause( 47, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.43/0.85 liar( Y ) ) ] )
% 0.43/0.85 , clause( 48, [ ~( 'a_truth'( says( X, 'one_truthteller' ) ) ), ~( people(
% 0.43/0.85 X, Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'(
% 0.43/0.85 truthteller( Y ) ) ), ~( 'a_truth'( truthteller( Z ) ) ) ] )
% 0.43/0.85 , clause( 49, [ ~( 'a_truth'( 'one_truthteller' ) ), ~( people( X, Y, Z ) )
% 0.43/0.85 , 'a_truth'( truthteller( X ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'(
% 0.43/0.85 truthteller( Z ) ) ] )
% 0.43/0.85 , clause( 50, [ ~( 'a_truth'( 'one_truthteller' ) ), ~( people( X, Y, Z ) )
% 0.43/0.85 , ~( 'a_truth'( truthteller( Y ) ) ), ~( 'a_truth'( truthteller( X ) ) )
% 0.43/0.85 , ~( 'a_truth'( truthteller( Z ) ) ) ] )
% 0.43/0.85 , clause( 51, [ ~( 'a_truth'( 'one_truthteller' ) ), ~( people( X, Y, Z ) )
% 0.43/0.85 , ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y ) ) ),
% 0.43/0.85 'a_truth'( liar( Z ) ) ] )
% 0.43/0.85 , clause( 52, [ 'a_truth'( 'one_truthteller' ), ~( people( X, Y, Z ) ), ~(
% 0.43/0.85 'a_truth'( liar( X ) ) ), ~( 'a_truth'( truthteller( Y ) ) ), 'a_truth'(
% 0.43/0.85 truthteller( Z ) ) ] )
% 0.43/0.85 , clause( 53, [ 'a_truth'( 'one_truthteller' ), ~( people( X, Y, Z ) ), ~(
% 0.43/0.85 'a_truth'( liar( X ) ) ), ~( 'a_truth'( liar( Y ) ) ), 'a_truth'( liar( Z
% 0.43/0.85 ) ) ] )
% 0.43/0.85 , clause( 54, [ ~( 'a_truth'( says( X, 'all_are_liars' ) ) ), ~( people( X
% 0.43/0.85 , Y, Z ) ), ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.43/0.85 , clause( 55, [ 'a_truth'( 'all_are_liars' ), ~( people( X, Y, Z ) ),
% 0.43/0.85 'a_truth'( truthteller( X ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'(
% 0.43/0.85 truthteller( Z ) ) ] )
% 0.43/0.85 , clause( 56, [ people( b, c, a ) ] )
% 0.43/0.85 , clause( 57, [ people( a, c, b ) ] )
% 0.43/0.85 , clause( 58, [ people( c, b, a ) ] )
% 0.43/0.85 , clause( 59, [ 'a_truth'( says( a, 'all_are_liars' ) ) ] )
% 0.43/0.85 , clause( 60, [ 'a_truth'( says( b, 'one_truthteller' ) ) ] )
% 0.43/0.85 , clause( 61, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.43/0.85 ] ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.43/0.85 , clause( 42, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.43/0.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/0.85 1 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.43/0.85 says( X, Y ) ) ) ] )
% 0.43/0.85 , clause( 45, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) )
% 0.43/0.85 , ~( 'a_truth'( Y ) ) ] )
% 0.43/0.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/0.85 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 13, [ 'a_truth'( 'all_are_liars' ), 'a_truth'( truthteller( X ) ),
% 0.43/0.85 'a_truth'( truthteller( Y ) ), 'a_truth'( truthteller( Z ) ), ~( people(
% 0.43/0.85 X, Y, Z ) ) ] )
% 0.43/0.85 , clause( 55, [ 'a_truth'( 'all_are_liars' ), ~( people( X, Y, Z ) ),
% 0.43/0.85 'a_truth'( truthteller( X ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'(
% 0.43/0.85 truthteller( Z ) ) ] )
% 0.43/0.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/0.85 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 4 ), ==>( 2, 1 ), ==>( 3, 2 ),
% 0.43/0.85 ==>( 4, 3 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 14, [ people( b, c, a ) ] )
% 0.43/0.85 , clause( 56, [ people( b, c, a ) ] )
% 0.43/0.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 17, [ 'a_truth'( says( a, 'all_are_liars' ) ) ] )
% 0.43/0.85 , clause( 59, [ 'a_truth'( says( a, 'all_are_liars' ) ) ] )
% 0.43/0.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 19, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.43/0.85 , clause( 61, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.43/0.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 resolution(
% 0.43/0.85 clause( 139, [ 'a_truth'( liar( X ) ) ] )
% 0.43/0.85 , clause( 19, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.43/0.85 , 0, clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ]
% 0.43/0.85 )
% 0.43/0.85 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/0.85 ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 29, [ 'a_truth'( liar( X ) ) ] )
% 0.43/0.85 , clause( 139, [ 'a_truth'( liar( X ) ) ] )
% 0.43/0.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 resolution(
% 0.43/0.85 clause( 142, [ ~( 'a_truth'( Y ) ), ~( 'a_truth'( says( X, Y ) ) ) ] )
% 0.43/0.85 , clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.43/0.85 'a_truth'( says( X, Y ) ) ) ] )
% 0.43/0.85 , 0, clause( 29, [ 'a_truth'( liar( X ) ) ] )
% 0.43/0.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.43/0.85 , X )] )).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 32, [ ~( 'a_truth'( says( X, Y ) ) ), ~( 'a_truth'( Y ) ) ] )
% 0.43/0.85 , clause( 142, [ ~( 'a_truth'( Y ) ), ~( 'a_truth'( says( X, Y ) ) ) ] )
% 0.43/0.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.43/0.85 ), ==>( 1, 0 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 resolution(
% 0.43/0.85 clause( 143, [ ~( 'a_truth'( 'all_are_liars' ) ) ] )
% 0.43/0.85 , clause( 32, [ ~( 'a_truth'( says( X, Y ) ) ), ~( 'a_truth'( Y ) ) ] )
% 0.43/0.85 , 0, clause( 17, [ 'a_truth'( says( a, 'all_are_liars' ) ) ] )
% 0.43/0.85 , 0, substitution( 0, [ :=( X, a ), :=( Y, 'all_are_liars' )] ),
% 0.43/0.85 substitution( 1, [] )).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 33, [ ~( 'a_truth'( 'all_are_liars' ) ) ] )
% 0.43/0.85 , clause( 143, [ ~( 'a_truth'( 'all_are_liars' ) ) ] )
% 0.43/0.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 resolution(
% 0.43/0.85 clause( 172, [ 'a_truth'( truthteller( X ) ), 'a_truth'( truthteller( Y ) )
% 0.43/0.85 , 'a_truth'( truthteller( Z ) ), ~( people( X, Y, Z ) ) ] )
% 0.43/0.85 , clause( 33, [ ~( 'a_truth'( 'all_are_liars' ) ) ] )
% 0.43/0.85 , 0, clause( 13, [ 'a_truth'( 'all_are_liars' ), 'a_truth'( truthteller( X
% 0.43/0.85 ) ), 'a_truth'( truthteller( Y ) ), 'a_truth'( truthteller( Z ) ), ~(
% 0.43/0.85 people( X, Y, Z ) ) ] )
% 0.43/0.85 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.43/0.85 Z, Z )] )).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 resolution(
% 0.43/0.85 clause( 190, [ 'a_truth'( truthteller( Y ) ), 'a_truth'( truthteller( Z ) )
% 0.43/0.85 , ~( people( X, Y, Z ) ) ] )
% 0.43/0.85 , clause( 19, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.43/0.85 , 0, clause( 172, [ 'a_truth'( truthteller( X ) ), 'a_truth'( truthteller(
% 0.43/0.85 Y ) ), 'a_truth'( truthteller( Z ) ), ~( people( X, Y, Z ) ) ] )
% 0.43/0.85 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.43/0.85 , Y ), :=( Z, Z )] )).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 resolution(
% 0.43/0.85 clause( 197, [ 'a_truth'( truthteller( Y ) ), ~( people( Z, X, Y ) ) ] )
% 0.43/0.85 , clause( 19, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.43/0.85 , 0, clause( 190, [ 'a_truth'( truthteller( Y ) ), 'a_truth'( truthteller(
% 0.43/0.85 Z ) ), ~( people( X, Y, Z ) ) ] )
% 0.43/0.85 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Z ), :=( Y
% 0.43/0.85 , X ), :=( Z, Y )] )).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 resolution(
% 0.43/0.85 clause( 199, [ ~( people( Y, Z, X ) ) ] )
% 0.43/0.85 , clause( 19, [ ~( 'a_truth'( truthteller( X ) ) ) ] )
% 0.43/0.85 , 0, clause( 197, [ 'a_truth'( truthteller( Y ) ), ~( people( Z, X, Y ) ) ]
% 0.43/0.85 )
% 0.43/0.85 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Z ), :=( Y
% 0.43/0.85 , X ), :=( Z, Y )] )).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 39, [ ~( people( X, Y, Z ) ) ] )
% 0.43/0.85 , clause( 199, [ ~( people( Y, Z, X ) ) ] )
% 0.43/0.85 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.43/0.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 resolution(
% 0.43/0.85 clause( 200, [] )
% 0.43/0.85 , clause( 39, [ ~( people( X, Y, Z ) ) ] )
% 0.43/0.85 , 0, clause( 14, [ people( b, c, a ) ] )
% 0.43/0.85 , 0, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, a )] ),
% 0.43/0.85 substitution( 1, [] )).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 subsumption(
% 0.43/0.85 clause( 40, [] )
% 0.43/0.85 , clause( 200, [] )
% 0.43/0.85 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 end.
% 0.43/0.85
% 0.43/0.85 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/0.85
% 0.43/0.85 Memory use:
% 0.43/0.85
% 0.43/0.85 space for terms: 1040
% 0.43/0.85 space for clauses: 1849
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 clauses generated: 47
% 0.43/0.85 clauses kept: 41
% 0.43/0.85 clauses selected: 18
% 0.43/0.85 clauses deleted: 17
% 0.43/0.85 clauses inuse deleted: 0
% 0.43/0.85
% 0.43/0.85 subsentry: 147
% 0.43/0.85 literals s-matched: 125
% 0.43/0.85 literals matched: 68
% 0.43/0.85 full subsumption: 6
% 0.43/0.85
% 0.43/0.85 checksum: 11839751
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 Bliksem ended
%------------------------------------------------------------------------------