%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ032-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 17:58:16 EDT 2022
% Result : Unsatisfiable 0.68s 1.09s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat May 28 20:05:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.09 *** allocated 10000 integers for termspace/termends
% 0.68/1.09 *** allocated 10000 integers for clauses
% 0.68/1.09 *** allocated 10000 integers for justifications
% 0.68/1.09 Bliksem 1.12
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Automatic Strategy Selection
% 0.68/1.09
% 0.68/1.09 Clauses:
% 0.68/1.09 [
% 0.68/1.09 [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ],
% 0.68/1.09 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X ) ) ) ],
% 0.68/1.09 [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ),
% 0.68/1.09 'a_truth'( Y ) ],
% 0.68/1.09 [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) ), ~(
% 0.68/1.09 'a_truth'( Y ) ) ],
% 0.68/1.09 [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.68/1.09 truthteller( Y ) ) ],
% 0.68/1.09 [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'( liar( Y ) )
% 0.68/1.09 ],
% 0.68/1.09 [ 'a_truth'( says( a, mumble ) ) ],
% 0.68/1.09 [ 'a_truth'( says( b, says( a, liar( a ) ) ) ) ],
% 0.68/1.09 [ 'a_truth'( says( c, liar( b ) ) ) ],
% 0.68/1.09 [ ~( 'a_truth'( truthteller( c ) ) ) ]
% 0.68/1.09 ] .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 percentage equality = 0.000000, percentage horn = 0.800000
% 0.68/1.09 This a non-horn, non-equality problem
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Options Used:
% 0.68/1.09
% 0.68/1.09 useres = 1
% 0.68/1.09 useparamod = 0
% 0.68/1.09 useeqrefl = 0
% 0.68/1.09 useeqfact = 0
% 0.68/1.09 usefactor = 1
% 0.68/1.09 usesimpsplitting = 0
% 0.68/1.09 usesimpdemod = 0
% 0.68/1.09 usesimpres = 3
% 0.68/1.09
% 0.68/1.09 resimpinuse = 1000
% 0.68/1.09 resimpclauses = 20000
% 0.68/1.09 substype = standard
% 0.68/1.09 backwardsubs = 1
% 0.68/1.09 selectoldest = 5
% 0.68/1.09
% 0.68/1.09 litorderings [0] = split
% 0.68/1.09 litorderings [1] = liftord
% 0.68/1.09
% 0.68/1.09 termordering = none
% 0.68/1.09
% 0.68/1.09 litapriori = 1
% 0.68/1.09 termapriori = 0
% 0.68/1.09 litaposteriori = 0
% 0.68/1.09 termaposteriori = 0
% 0.68/1.09 demodaposteriori = 0
% 0.68/1.09 ordereqreflfact = 0
% 0.68/1.09
% 0.68/1.09 litselect = none
% 0.68/1.09
% 0.68/1.09 maxweight = 15
% 0.68/1.09 maxdepth = 30000
% 0.68/1.09 maxlength = 115
% 0.68/1.09 maxnrvars = 195
% 0.68/1.09 excuselevel = 1
% 0.68/1.09 increasemaxweight = 1
% 0.68/1.09
% 0.68/1.09 maxselected = 10000000
% 0.68/1.09 maxnrclauses = 10000000
% 0.68/1.09
% 0.68/1.09 showgenerated = 0
% 0.68/1.09 showkept = 0
% 0.68/1.09 showselected = 0
% 0.68/1.09 showdeleted = 0
% 0.68/1.09 showresimp = 1
% 0.68/1.09 showstatus = 2000
% 0.68/1.09
% 0.68/1.09 prologoutput = 1
% 0.68/1.09 nrgoals = 5000000
% 0.68/1.09 totalproof = 1
% 0.68/1.09
% 0.68/1.09 Symbols occurring in the translation:
% 0.68/1.09
% 0.68/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.09 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.68/1.09 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.68/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 truthteller [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.68/1.09 'a_truth' [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.68/1.09 liar [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.68/1.09 says [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.68/1.09 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.68/1.09 mumble [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.68/1.09 b [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.68/1.09 c [50, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Starting Search:
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksems!, er is een bewijs:
% 0.68/1.09 % SZS status Unsatisfiable
% 0.68/1.09 % SZS output start Refutation
% 0.68/1.09
% 0.68/1.09 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.68/1.09 says( X, Y ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.68/1.09 'a_truth'( X ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 7, [ 'a_truth'( says( b, says( a, liar( a ) ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 8, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 9, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 10, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, liar( X )
% 0.68/1.09 ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 11, [ ~( 'a_truth'( says( X, liar( X ) ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 13, [ 'a_truth'( liar( b ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 46, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 52, [] )
% 0.68/1.09 .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 % SZS output end Refutation
% 0.68/1.09 found a proof!
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 initialclauses(
% 0.68/1.09 [ clause( 54, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.68/1.09 , clause( 55, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( liar( X )
% 0.68/1.09 ) ) ] )
% 0.68/1.09 , clause( 56, [ ~( 'a_truth'( truthteller( X ) ) ), ~( 'a_truth'( says( X,
% 0.68/1.09 Y ) ) ), 'a_truth'( Y ) ] )
% 0.68/1.09 , clause( 57, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) )
% 0.68/1.09 , ~( 'a_truth'( Y ) ) ] )
% 0.68/1.09 , clause( 58, [ ~( 'a_truth'( X ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.68/1.09 'a_truth'( truthteller( Y ) ) ] )
% 0.68/1.09 , clause( 59, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.68/1.09 liar( Y ) ) ] )
% 0.68/1.09 , clause( 60, [ 'a_truth'( says( a, mumble ) ) ] )
% 0.68/1.09 , clause( 61, [ 'a_truth'( says( b, says( a, liar( a ) ) ) ) ] )
% 0.68/1.09 , clause( 62, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.68/1.09 , clause( 63, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.68/1.09 ] ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.68/1.09 , clause( 54, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.09 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~( 'a_truth'(
% 0.68/1.09 says( X, Y ) ) ) ] )
% 0.68/1.09 , clause( 57, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, Y ) ) )
% 0.68/1.09 , ~( 'a_truth'( Y ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.68/1.09 'a_truth'( X ) ] )
% 0.68/1.09 , clause( 59, [ 'a_truth'( X ), ~( 'a_truth'( says( Y, X ) ) ), 'a_truth'(
% 0.68/1.09 liar( Y ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.68/1.09 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 7, [ 'a_truth'( says( b, says( a, liar( a ) ) ) ) ] )
% 0.68/1.09 , clause( 61, [ 'a_truth'( says( b, says( a, liar( a ) ) ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 8, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.68/1.09 , clause( 62, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 9, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.68/1.09 , clause( 63, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 factor(
% 0.68/1.09 clause( 73, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, liar( X )
% 0.68/1.09 ) ) ) ] )
% 0.68/1.09 , clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.68/1.09 'a_truth'( says( X, Y ) ) ) ] )
% 0.68/1.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, liar( X ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 10, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, liar( X )
% 0.68/1.09 ) ) ) ] )
% 0.68/1.09 , clause( 73, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, liar( X
% 0.68/1.09 ) ) ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.09 1 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 factor(
% 0.68/1.09 clause( 74, [ 'a_truth'( liar( X ) ), ~( 'a_truth'( says( X, liar( X ) ) )
% 0.68/1.09 ) ] )
% 0.68/1.09 , clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.68/1.09 'a_truth'( X ) ] )
% 0.68/1.09 , 0, 2, substitution( 0, [ :=( X, liar( X ) ), :=( Y, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 75, [ ~( 'a_truth'( says( X, liar( X ) ) ) ), ~( 'a_truth'( says( X
% 0.68/1.09 , liar( X ) ) ) ) ] )
% 0.68/1.09 , clause( 10, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( says( X, liar( X
% 0.68/1.09 ) ) ) ) ] )
% 0.68/1.09 , 0, clause( 74, [ 'a_truth'( liar( X ) ), ~( 'a_truth'( says( X, liar( X )
% 0.68/1.09 ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 factor(
% 0.68/1.09 clause( 76, [ ~( 'a_truth'( says( X, liar( X ) ) ) ) ] )
% 0.68/1.09 , clause( 75, [ ~( 'a_truth'( says( X, liar( X ) ) ) ), ~( 'a_truth'( says(
% 0.68/1.09 X, liar( X ) ) ) ) ] )
% 0.68/1.09 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 11, [ ~( 'a_truth'( says( X, liar( X ) ) ) ) ] )
% 0.68/1.09 , clause( 76, [ ~( 'a_truth'( says( X, liar( X ) ) ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 77, [ 'a_truth'( liar( b ) ), 'a_truth'( says( a, liar( a ) ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 5, [ 'a_truth'( liar( Y ) ), ~( 'a_truth'( says( Y, X ) ) ),
% 0.68/1.09 'a_truth'( X ) ] )
% 0.68/1.09 , 1, clause( 7, [ 'a_truth'( says( b, says( a, liar( a ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, says( a, liar( a ) ) ), :=( Y, b )] ),
% 0.68/1.09 substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 78, [ 'a_truth'( liar( b ) ) ] )
% 0.68/1.09 , clause( 11, [ ~( 'a_truth'( says( X, liar( X ) ) ) ) ] )
% 0.68/1.09 , 0, clause( 77, [ 'a_truth'( liar( b ) ), 'a_truth'( says( a, liar( a ) )
% 0.68/1.09 ) ] )
% 0.68/1.09 , 1, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 13, [ 'a_truth'( liar( b ) ) ] )
% 0.68/1.09 , clause( 78, [ 'a_truth'( liar( b ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 80, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( liar( b ) ) ) ] )
% 0.68/1.09 , clause( 3, [ ~( 'a_truth'( liar( X ) ) ), ~( 'a_truth'( Y ) ), ~(
% 0.68/1.09 'a_truth'( says( X, Y ) ) ) ] )
% 0.68/1.09 , 2, clause( 8, [ 'a_truth'( says( c, liar( b ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, c ), :=( Y, liar( b ) )] ), substitution( 1
% 0.68/1.09 , [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 81, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.68/1.09 , clause( 80, [ ~( 'a_truth'( liar( c ) ) ), ~( 'a_truth'( liar( b ) ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 1, clause( 13, [ 'a_truth'( liar( b ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 46, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.68/1.09 , clause( 81, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 82, [ 'a_truth'( truthteller( c ) ) ] )
% 0.68/1.09 , clause( 46, [ ~( 'a_truth'( liar( c ) ) ) ] )
% 0.68/1.09 , 0, clause( 0, [ 'a_truth'( truthteller( X ) ), 'a_truth'( liar( X ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 resolution(
% 0.68/1.09 clause( 83, [] )
% 0.68/1.09 , clause( 9, [ ~( 'a_truth'( truthteller( c ) ) ) ] )
% 0.68/1.09 , 0, clause( 82, [ 'a_truth'( truthteller( c ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 52, [] )
% 0.68/1.09 , clause( 83, [] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 end.
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 Memory use:
% 0.68/1.09
% 0.68/1.09 space for terms: 795
% 0.68/1.09 space for clauses: 2506
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 clauses generated: 70
% 0.68/1.09 clauses kept: 53
% 0.68/1.09 clauses selected: 16
% 0.68/1.09 clauses deleted: 1
% 0.68/1.09 clauses inuse deleted: 0
% 0.68/1.09
% 0.68/1.09 subsentry: 113
% 0.68/1.09 literals s-matched: 69
% 0.68/1.09 literals matched: 69
% 0.68/1.09 full subsumption: 34
% 0.68/1.09
% 0.68/1.09 checksum: -15887774
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksem ended
%------------------------------------------------------------------------------