TSTP Solution File: PUZ020-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ020-1 : 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 0.44s 1.08s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.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 : Sun May 29 01:29:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.08 *** allocated 10000 integers for termspace/termends
% 0.44/1.08 *** allocated 10000 integers for clauses
% 0.44/1.08 *** allocated 10000 integers for justifications
% 0.44/1.08 Bliksem 1.12
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Automatic Strategy Selection
% 0.44/1.08
% 0.44/1.08 Clauses:
% 0.44/1.08 [
% 0.44/1.08 [ ~( person( X ) ), knight( X ), knave( X ) ],
% 0.44/1.08 [ ~( person( X ) ), ~( knight( X ) ), ~( knave( X ) ) ],
% 0.44/1.08 [ ~( says( X, Y ) ), 'a_truth'( Y ), ~( 'a_truth'( Y ) ) ],
% 0.44/1.08 [ ~( says( X, Y ) ), ~( =( X, Y ) ) ],
% 0.44/1.08 [ ~( says( X, Y ) ), =( Y, 'statement_by'( X ) ) ],
% 0.44/1.08 [ ~( person( X ) ), ~( =( X, 'statement_by'( Y ) ) ) ],
% 0.44/1.08 [ ~( person( X ) ), ~( 'a_truth'( 'statement_by'( X ) ) ), knight( X ) ]
% 0.44/1.08 ,
% 0.44/1.08 [ ~( person( X ) ), 'a_truth'( 'statement_by'( X ) ), knave( X ) ],
% 0.44/1.08 [ ~( knight( X ) ), ~( says( X, Y ) ), 'a_truth'( Y ) ],
% 0.44/1.08 [ ~( knave( X ) ), ~( says( X, Y ) ), ~( 'a_truth'( Y ) ) ],
% 0.44/1.08 [ person( husband ) ],
% 0.44/1.08 [ person( wife ) ],
% 0.44/1.08 [ ~( =( husband, wife ) ) ],
% 0.44/1.08 [ says( husband, 'statement_by'( husband ) ) ],
% 0.44/1.08 [ ~( 'a_truth'( 'statement_by'( husband ) ) ), ~( knight( husband ) ),
% 0.44/1.08 knight( wife ) ],
% 0.44/1.08 [ 'a_truth'( 'statement_by'( husband ) ), ~( knight( husband ) ) ],
% 0.44/1.08 [ 'a_truth'( 'statement_by'( husband ) ), knight( wife ) ],
% 0.44/1.08 [ ~( knight( wife ) ), 'a_truth'( 'statement_by'( husband ) ) ],
% 0.44/1.08 [ ~( knight( husband ) ) ]
% 0.44/1.08 ] .
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 percentage equality = 0.105263, percentage horn = 0.833333
% 0.44/1.08 This is a problem with some equality
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Options Used:
% 0.44/1.08
% 0.44/1.08 useres = 1
% 0.44/1.08 useparamod = 1
% 0.44/1.08 useeqrefl = 1
% 0.44/1.08 useeqfact = 1
% 0.44/1.08 usefactor = 1
% 0.44/1.08 usesimpsplitting = 0
% 0.44/1.08 usesimpdemod = 5
% 0.44/1.08 usesimpres = 3
% 0.44/1.08
% 0.44/1.08 resimpinuse = 1000
% 0.44/1.08 resimpclauses = 20000
% 0.44/1.08 substype = eqrewr
% 0.44/1.08 backwardsubs = 1
% 0.44/1.08 selectoldest = 5
% 0.44/1.08
% 0.44/1.08 litorderings [0] = split
% 0.44/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.08
% 0.44/1.08 termordering = kbo
% 0.44/1.08
% 0.44/1.08 litapriori = 0
% 0.44/1.08 termapriori = 1
% 0.44/1.08 litaposteriori = 0
% 0.44/1.08 termaposteriori = 0
% 0.44/1.08 demodaposteriori = 0
% 0.44/1.08 ordereqreflfact = 0
% 0.44/1.08
% 0.44/1.08 litselect = negord
% 0.44/1.08
% 0.44/1.08 maxweight = 15
% 0.44/1.08 maxdepth = 30000
% 0.44/1.08 maxlength = 115
% 0.44/1.08 maxnrvars = 195
% 0.44/1.08 excuselevel = 1
% 0.44/1.08 increasemaxweight = 1
% 0.44/1.08
% 0.44/1.08 maxselected = 10000000
% 0.44/1.08 maxnrclauses = 10000000
% 0.44/1.08
% 0.44/1.08 showgenerated = 0
% 0.44/1.08 showkept = 0
% 0.44/1.08 showselected = 0
% 0.44/1.08 showdeleted = 0
% 0.44/1.08 showresimp = 1
% 0.44/1.08 showstatus = 2000
% 0.44/1.08
% 0.44/1.08 prologoutput = 1
% 0.44/1.08 nrgoals = 5000000
% 0.44/1.08 totalproof = 1
% 0.44/1.08
% 0.44/1.08 Symbols occurring in the translation:
% 0.44/1.08
% 0.44/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.08 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.44/1.08 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.44/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.08 person [40, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.44/1.08 knight [41, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.44/1.08 knave [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.44/1.08 says [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.44/1.08 'a_truth' [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.44/1.08 'statement_by' [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.44/1.08 husband [47, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.44/1.08 wife [48, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Starting Search:
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Bliksems!, er is een bewijs:
% 0.44/1.08 % SZS status Unsatisfiable
% 0.44/1.08 % SZS output start Refutation
% 0.44/1.08
% 0.44/1.08 clause( 5, [ ~( person( X ) ), ~( 'a_truth'( 'statement_by'( X ) ) ),
% 0.44/1.08 knight( X ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 9, [ person( husband ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 15, [ 'a_truth'( 'statement_by'( husband ) ), knight( wife ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 16, [ 'a_truth'( 'statement_by'( husband ) ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 17, [ ~( knight( husband ) ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 47, [ knight( husband ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 52, [] )
% 0.44/1.08 .
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 % SZS output end Refutation
% 0.44/1.08 found a proof!
% 0.44/1.08
% 0.44/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.08
% 0.44/1.08 initialclauses(
% 0.44/1.08 [ clause( 54, [ ~( person( X ) ), knight( X ), knave( X ) ] )
% 0.44/1.08 , clause( 55, [ ~( person( X ) ), ~( knight( X ) ), ~( knave( X ) ) ] )
% 0.44/1.08 , clause( 56, [ ~( says( X, Y ) ), 'a_truth'( Y ), ~( 'a_truth'( Y ) ) ] )
% 0.44/1.08 , clause( 57, [ ~( says( X, Y ) ), ~( =( X, Y ) ) ] )
% 0.44/1.08 , clause( 58, [ ~( says( X, Y ) ), =( Y, 'statement_by'( X ) ) ] )
% 0.44/1.08 , clause( 59, [ ~( person( X ) ), ~( =( X, 'statement_by'( Y ) ) ) ] )
% 0.44/1.08 , clause( 60, [ ~( person( X ) ), ~( 'a_truth'( 'statement_by'( X ) ) ),
% 0.44/1.08 knight( X ) ] )
% 0.44/1.08 , clause( 61, [ ~( person( X ) ), 'a_truth'( 'statement_by'( X ) ), knave(
% 0.44/1.08 X ) ] )
% 0.44/1.08 , clause( 62, [ ~( knight( X ) ), ~( says( X, Y ) ), 'a_truth'( Y ) ] )
% 0.44/1.08 , clause( 63, [ ~( knave( X ) ), ~( says( X, Y ) ), ~( 'a_truth'( Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 64, [ person( husband ) ] )
% 0.44/1.08 , clause( 65, [ person( wife ) ] )
% 0.44/1.08 , clause( 66, [ ~( =( husband, wife ) ) ] )
% 0.44/1.08 , clause( 67, [ says( husband, 'statement_by'( husband ) ) ] )
% 0.44/1.08 , clause( 68, [ ~( 'a_truth'( 'statement_by'( husband ) ) ), ~( knight(
% 0.44/1.08 husband ) ), knight( wife ) ] )
% 0.44/1.08 , clause( 69, [ 'a_truth'( 'statement_by'( husband ) ), ~( knight( husband
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , clause( 70, [ 'a_truth'( 'statement_by'( husband ) ), knight( wife ) ] )
% 0.44/1.08 , clause( 71, [ ~( knight( wife ) ), 'a_truth'( 'statement_by'( husband ) )
% 0.44/1.08 ] )
% 0.44/1.08 , clause( 72, [ ~( knight( husband ) ) ] )
% 0.44/1.08 ] ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 5, [ ~( person( X ) ), ~( 'a_truth'( 'statement_by'( X ) ) ),
% 0.44/1.08 knight( X ) ] )
% 0.44/1.08 , clause( 60, [ ~( person( X ) ), ~( 'a_truth'( 'statement_by'( X ) ) ),
% 0.44/1.08 knight( X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.44/1.08 1 ), ==>( 2, 2 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 9, [ person( husband ) ] )
% 0.44/1.08 , clause( 64, [ person( husband ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 15, [ 'a_truth'( 'statement_by'( husband ) ), knight( wife ) ] )
% 0.44/1.08 , clause( 70, [ 'a_truth'( 'statement_by'( husband ) ), knight( wife ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 resolution(
% 0.44/1.08 clause( 89, [ 'a_truth'( 'statement_by'( husband ) ), 'a_truth'(
% 0.44/1.08 'statement_by'( husband ) ) ] )
% 0.44/1.08 , clause( 71, [ ~( knight( wife ) ), 'a_truth'( 'statement_by'( husband ) )
% 0.44/1.08 ] )
% 0.44/1.08 , 0, clause( 15, [ 'a_truth'( 'statement_by'( husband ) ), knight( wife ) ]
% 0.44/1.08 )
% 0.44/1.08 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 factor(
% 0.44/1.08 clause( 90, [ 'a_truth'( 'statement_by'( husband ) ) ] )
% 0.44/1.08 , clause( 89, [ 'a_truth'( 'statement_by'( husband ) ), 'a_truth'(
% 0.44/1.08 'statement_by'( husband ) ) ] )
% 0.44/1.08 , 0, 1, substitution( 0, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 16, [ 'a_truth'( 'statement_by'( husband ) ) ] )
% 0.44/1.08 , clause( 90, [ 'a_truth'( 'statement_by'( husband ) ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 17, [ ~( knight( husband ) ) ] )
% 0.44/1.08 , clause( 72, [ ~( knight( husband ) ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 resolution(
% 0.44/1.08 clause( 95, [ ~( person( husband ) ), knight( husband ) ] )
% 0.44/1.08 , clause( 5, [ ~( person( X ) ), ~( 'a_truth'( 'statement_by'( X ) ) ),
% 0.44/1.08 knight( X ) ] )
% 0.44/1.08 , 1, clause( 16, [ 'a_truth'( 'statement_by'( husband ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, husband )] ), substitution( 1, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 resolution(
% 0.44/1.08 clause( 96, [ knight( husband ) ] )
% 0.44/1.08 , clause( 95, [ ~( person( husband ) ), knight( husband ) ] )
% 0.44/1.08 , 0, clause( 9, [ person( husband ) ] )
% 0.44/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 47, [ knight( husband ) ] )
% 0.44/1.08 , clause( 96, [ knight( husband ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 resolution(
% 0.44/1.08 clause( 97, [] )
% 0.44/1.08 , clause( 17, [ ~( knight( husband ) ) ] )
% 0.74/1.08 , 0, clause( 47, [ knight( husband ) ] )
% 0.74/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 subsumption(
% 0.74/1.08 clause( 52, [] )
% 0.74/1.08 , clause( 97, [] )
% 0.74/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 end.
% 0.74/1.08
% 0.74/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.08
% 0.74/1.08 Memory use:
% 0.74/1.08
% 0.74/1.08 space for terms: 749
% 0.74/1.08 space for clauses: 2658
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 clauses generated: 94
% 0.74/1.08 clauses kept: 53
% 0.74/1.08 clauses selected: 24
% 0.74/1.08 clauses deleted: 3
% 0.74/1.08 clauses inuse deleted: 0
% 0.74/1.08
% 0.74/1.08 subsentry: 152
% 0.74/1.08 literals s-matched: 115
% 0.74/1.08 literals matched: 115
% 0.74/1.08 full subsumption: 15
% 0.74/1.08
% 0.74/1.08 checksum: 1102834924
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Bliksem ended
%------------------------------------------------------------------------------