TSTP Solution File: PUZ035-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% 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 17:58:17 EDT 2022
% Result : Unsatisfiable 0.44s 1.10s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun May 29 01:01:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.10 *** allocated 10000 integers for termspace/termends
% 0.44/1.10 *** allocated 10000 integers for clauses
% 0.44/1.10 *** allocated 10000 integers for justifications
% 0.44/1.10 Bliksem 1.12
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Automatic Strategy Selection
% 0.44/1.10
% 0.44/1.10 Clauses:
% 0.44/1.10 [
% 0.44/1.10 [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ],
% 0.44/1.10 [ ~( truth( isa( X, knight ) ) ), ~( truth( isa( X, knave ) ) ) ],
% 0.44/1.10 [ truth( X ), ~( truth( isa( Y, knight ) ) ), ~( says( Y, X ) ) ],
% 0.44/1.10 [ truth( isa( X, knight ) ), ~( truth( Y ) ), ~( says( X, Y ) ) ],
% 0.44/1.10 [ truth( X ), truth( Y ), ~( truth( or( X, Y ) ) ) ],
% 0.44/1.10 [ truth( or( X, Y ) ), ~( truth( X ) ) ],
% 0.44/1.10 [ truth( or( X, Y ) ), ~( truth( Y ) ) ],
% 0.44/1.10 [ truth( X ), truth( not( X ) ) ],
% 0.44/1.10 [ ~( truth( X ) ), ~( truth( not( X ) ) ) ],
% 0.44/1.10 [ says( asked, not( or( isa( asked, knight ), isa( other, knight ) ) ) )
% 0.44/1.10 ],
% 0.44/1.10 [ ~( truth( isa( asked, X ) ) ), ~( truth( isa( other, Y ) ) ) ]
% 0.44/1.10 ] .
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 percentage equality = 0.000000, percentage horn = 0.727273
% 0.44/1.10 This a non-horn, non-equality problem
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Options Used:
% 0.44/1.10
% 0.44/1.10 useres = 1
% 0.44/1.10 useparamod = 0
% 0.44/1.10 useeqrefl = 0
% 0.44/1.10 useeqfact = 0
% 0.44/1.10 usefactor = 1
% 0.44/1.10 usesimpsplitting = 0
% 0.44/1.10 usesimpdemod = 0
% 0.44/1.10 usesimpres = 3
% 0.44/1.10
% 0.44/1.10 resimpinuse = 1000
% 0.44/1.10 resimpclauses = 20000
% 0.44/1.10 substype = standard
% 0.44/1.10 backwardsubs = 1
% 0.44/1.10 selectoldest = 5
% 0.44/1.10
% 0.44/1.10 litorderings [0] = split
% 0.44/1.10 litorderings [1] = liftord
% 0.44/1.10
% 0.44/1.10 termordering = none
% 0.44/1.10
% 0.44/1.10 litapriori = 1
% 0.44/1.10 termapriori = 0
% 0.44/1.10 litaposteriori = 0
% 0.44/1.10 termaposteriori = 0
% 0.44/1.10 demodaposteriori = 0
% 0.44/1.10 ordereqreflfact = 0
% 0.44/1.10
% 0.44/1.10 litselect = none
% 0.44/1.10
% 0.44/1.10 maxweight = 15
% 0.44/1.10 maxdepth = 30000
% 0.44/1.10 maxlength = 115
% 0.44/1.10 maxnrvars = 195
% 0.44/1.10 excuselevel = 1
% 0.44/1.10 increasemaxweight = 1
% 0.44/1.10
% 0.44/1.10 maxselected = 10000000
% 0.44/1.10 maxnrclauses = 10000000
% 0.44/1.10
% 0.44/1.10 showgenerated = 0
% 0.44/1.10 showkept = 0
% 0.44/1.10 showselected = 0
% 0.44/1.10 showdeleted = 0
% 0.44/1.10 showresimp = 1
% 0.44/1.10 showstatus = 2000
% 0.44/1.10
% 0.44/1.10 prologoutput = 1
% 0.44/1.10 nrgoals = 5000000
% 0.44/1.10 totalproof = 1
% 0.44/1.10
% 0.44/1.10 Symbols occurring in the translation:
% 0.44/1.10
% 0.44/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.10 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.44/1.10 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.44/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.10 knight [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.44/1.10 isa [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.44/1.10 truth [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.44/1.10 knave [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.10 says [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.44/1.10 or [48, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.44/1.10 not [50, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.44/1.10 asked [51, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.44/1.10 other [52, 0] (w:1, o:7, a:1, s:1, b:0).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Starting Search:
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Bliksems!, er is een bewijs:
% 0.44/1.10 % SZS status Unsatisfiable
% 0.44/1.10 % SZS output start Refutation
% 0.44/1.10
% 0.44/1.10 clause( 0, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 2, [ truth( X ), ~( truth( isa( Y, knight ) ) ), ~( says( Y, X ) )
% 0.44/1.10 ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 5, [ ~( truth( X ) ), truth( or( X, Y ) ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 8, [ ~( truth( not( X ) ) ), ~( truth( X ) ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 9, [ says( asked, not( or( isa( asked, knight ), isa( other, knight
% 0.44/1.10 ) ) ) ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 10, [ ~( truth( isa( other, Y ) ) ), ~( truth( isa( asked, X ) ) )
% 0.44/1.10 ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 23, [ ~( truth( not( or( X, Y ) ) ) ), ~( truth( X ) ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 262, [ ~( truth( isa( asked, knight ) ) ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 303, [ ~( truth( isa( other, X ) ) ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 313, [] )
% 0.44/1.10 .
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 % SZS output end Refutation
% 0.44/1.10 found a proof!
% 0.44/1.10
% 0.44/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10
% 0.44/1.10 initialclauses(
% 0.44/1.10 [ clause( 315, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.44/1.10 , clause( 316, [ ~( truth( isa( X, knight ) ) ), ~( truth( isa( X, knave )
% 0.44/1.10 ) ) ] )
% 0.44/1.10 , clause( 317, [ truth( X ), ~( truth( isa( Y, knight ) ) ), ~( says( Y, X
% 0.44/1.10 ) ) ] )
% 0.44/1.10 , clause( 318, [ truth( isa( X, knight ) ), ~( truth( Y ) ), ~( says( X, Y
% 0.44/1.10 ) ) ] )
% 0.44/1.10 , clause( 319, [ truth( X ), truth( Y ), ~( truth( or( X, Y ) ) ) ] )
% 0.44/1.10 , clause( 320, [ truth( or( X, Y ) ), ~( truth( X ) ) ] )
% 0.44/1.10 , clause( 321, [ truth( or( X, Y ) ), ~( truth( Y ) ) ] )
% 0.44/1.10 , clause( 322, [ truth( X ), truth( not( X ) ) ] )
% 0.44/1.10 , clause( 323, [ ~( truth( X ) ), ~( truth( not( X ) ) ) ] )
% 0.44/1.10 , clause( 324, [ says( asked, not( or( isa( asked, knight ), isa( other,
% 0.44/1.10 knight ) ) ) ) ] )
% 0.44/1.10 , clause( 325, [ ~( truth( isa( asked, X ) ) ), ~( truth( isa( other, Y ) )
% 0.44/1.10 ) ] )
% 0.44/1.10 ] ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 0, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.44/1.10 , clause( 315, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.44/1.10 1 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 2, [ truth( X ), ~( truth( isa( Y, knight ) ) ), ~( says( Y, X ) )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 317, [ truth( X ), ~( truth( isa( Y, knight ) ) ), ~( says( Y, X
% 0.44/1.10 ) ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 5, [ ~( truth( X ) ), truth( or( X, Y ) ) ] )
% 0.44/1.10 , clause( 320, [ truth( or( X, Y ) ), ~( truth( X ) ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.44/1.10 ), ==>( 1, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 8, [ ~( truth( not( X ) ) ), ~( truth( X ) ) ] )
% 0.44/1.10 , clause( 323, [ ~( truth( X ) ), ~( truth( not( X ) ) ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.44/1.10 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 9, [ says( asked, not( or( isa( asked, knight ), isa( other, knight
% 0.44/1.10 ) ) ) ) ] )
% 0.44/1.10 , clause( 324, [ says( asked, not( or( isa( asked, knight ), isa( other,
% 0.44/1.10 knight ) ) ) ) ] )
% 0.44/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 10, [ ~( truth( isa( other, Y ) ) ), ~( truth( isa( asked, X ) ) )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 325, [ ~( truth( isa( asked, X ) ) ), ~( truth( isa( other, Y ) )
% 0.44/1.10 ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.44/1.10 ), ==>( 1, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 resolution(
% 0.44/1.10 clause( 330, [ ~( truth( not( or( X, Y ) ) ) ), ~( truth( X ) ) ] )
% 0.44/1.10 , clause( 8, [ ~( truth( not( X ) ) ), ~( truth( X ) ) ] )
% 0.44/1.10 , 1, clause( 5, [ ~( truth( X ) ), truth( or( X, Y ) ) ] )
% 0.44/1.10 , 1, substitution( 0, [ :=( X, or( X, Y ) )] ), substitution( 1, [ :=( X, X
% 0.44/1.10 ), :=( Y, Y )] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 23, [ ~( truth( not( or( X, Y ) ) ) ), ~( truth( X ) ) ] )
% 0.44/1.10 , clause( 330, [ ~( truth( not( or( X, Y ) ) ) ), ~( truth( X ) ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10 ), ==>( 1, 1 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 resolution(
% 0.44/1.10 clause( 331, [ truth( not( or( isa( asked, knight ), isa( other, knight ) )
% 0.44/1.10 ) ), ~( truth( isa( asked, knight ) ) ) ] )
% 0.44/1.10 , clause( 2, [ truth( X ), ~( truth( isa( Y, knight ) ) ), ~( says( Y, X )
% 0.44/1.10 ) ] )
% 0.44/1.10 , 2, clause( 9, [ says( asked, not( or( isa( asked, knight ), isa( other,
% 0.44/1.10 knight ) ) ) ) ] )
% 0.44/1.10 , 0, substitution( 0, [ :=( X, not( or( isa( asked, knight ), isa( other,
% 0.44/1.10 knight ) ) ) ), :=( Y, asked )] ), substitution( 1, [] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 resolution(
% 0.44/1.10 clause( 332, [ ~( truth( isa( asked, knight ) ) ), ~( truth( isa( asked,
% 0.44/1.10 knight ) ) ) ] )
% 0.44/1.10 , clause( 23, [ ~( truth( not( or( X, Y ) ) ) ), ~( truth( X ) ) ] )
% 0.44/1.10 , 0, clause( 331, [ truth( not( or( isa( asked, knight ), isa( other,
% 0.44/1.10 knight ) ) ) ), ~( truth( isa( asked, knight ) ) ) ] )
% 0.44/1.10 , 0, substitution( 0, [ :=( X, isa( asked, knight ) ), :=( Y, isa( other,
% 0.44/1.10 knight ) )] ), substitution( 1, [] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 factor(
% 0.44/1.10 clause( 333, [ ~( truth( isa( asked, knight ) ) ) ] )
% 0.44/1.10 , clause( 332, [ ~( truth( isa( asked, knight ) ) ), ~( truth( isa( asked,
% 0.44/1.10 knight ) ) ) ] )
% 0.44/1.10 , 0, 1, substitution( 0, [] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 262, [ ~( truth( isa( asked, knight ) ) ) ] )
% 0.44/1.10 , clause( 333, [ ~( truth( isa( asked, knight ) ) ) ] )
% 0.44/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 resolution(
% 0.44/1.10 clause( 337, [ ~( truth( isa( other, X ) ) ), truth( isa( asked, knight ) )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 10, [ ~( truth( isa( other, Y ) ) ), ~( truth( isa( asked, X ) )
% 0.44/1.10 ) ] )
% 0.44/1.10 , 1, clause( 0, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.44/1.10 , 1, substitution( 0, [ :=( X, knave ), :=( Y, X )] ), substitution( 1, [
% 0.44/1.10 :=( X, asked )] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 resolution(
% 0.44/1.10 clause( 338, [ ~( truth( isa( other, X ) ) ) ] )
% 0.44/1.10 , clause( 262, [ ~( truth( isa( asked, knight ) ) ) ] )
% 0.44/1.10 , 0, clause( 337, [ ~( truth( isa( other, X ) ) ), truth( isa( asked,
% 0.44/1.10 knight ) ) ] )
% 0.44/1.10 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 303, [ ~( truth( isa( other, X ) ) ) ] )
% 0.44/1.10 , clause( 338, [ ~( truth( isa( other, X ) ) ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 resolution(
% 0.44/1.10 clause( 339, [ truth( isa( other, knave ) ) ] )
% 0.44/1.10 , clause( 303, [ ~( truth( isa( other, X ) ) ) ] )
% 0.44/1.10 , 0, clause( 0, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.44/1.10 , 0, substitution( 0, [ :=( X, knight )] ), substitution( 1, [ :=( X, other
% 0.44/1.10 )] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 resolution(
% 0.44/1.10 clause( 341, [] )
% 0.44/1.10 , clause( 303, [ ~( truth( isa( other, X ) ) ) ] )
% 0.44/1.10 , 0, clause( 339, [ truth( isa( other, knave ) ) ] )
% 0.44/1.10 , 0, substitution( 0, [ :=( X, knave )] ), substitution( 1, [] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 313, [] )
% 0.44/1.10 , clause( 341, [] )
% 0.44/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 end.
% 0.44/1.10
% 0.44/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10
% 0.44/1.10 Memory use:
% 0.44/1.10
% 0.44/1.10 space for terms: 3471
% 0.44/1.10 space for clauses: 16911
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 clauses generated: 446
% 0.44/1.10 clauses kept: 314
% 0.44/1.10 clauses selected: 37
% 0.44/1.10 clauses deleted: 0
% 0.44/1.10 clauses inuse deleted: 0
% 0.44/1.10
% 0.44/1.10 subsentry: 1471
% 0.44/1.10 literals s-matched: 881
% 0.44/1.10 literals matched: 873
% 0.44/1.10 full subsumption: 225
% 0.44/1.10
% 0.44/1.10 checksum: 180623048
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Bliksem ended
%------------------------------------------------------------------------------