TSTP Solution File: PUZ035-5 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ035-5 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 0.46s 1.10s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ035-5 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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 20:18:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.10 *** allocated 10000 integers for termspace/termends
% 0.46/1.10 *** allocated 10000 integers for clauses
% 0.46/1.10 *** allocated 10000 integers for justifications
% 0.46/1.10 Bliksem 1.12
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Automatic Strategy Selection
% 0.46/1.10
% 0.46/1.10 Clauses:
% 0.46/1.10 [
% 0.46/1.10 [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ],
% 0.46/1.10 [ ~( truth( isa( X, knight ) ) ), ~( truth( isa( X, knave ) ) ) ],
% 0.46/1.10 [ truth( X ), ~( truth( isa( Y, knight ) ) ), ~( says( Y, X ) ) ],
% 0.46/1.10 [ truth( isa( X, knight ) ), ~( truth( Y ) ), ~( says( X, Y ) ) ],
% 0.46/1.10 [ truth( X ), truth( Y ), ~( truth( or( X, Y ) ) ) ],
% 0.46/1.10 [ truth( or( X, Y ) ), ~( truth( X ) ) ],
% 0.46/1.10 [ truth( or( X, Y ) ), ~( truth( Y ) ) ],
% 0.46/1.10 [ says( asked, or( isa( asked, knight ), isa( other, knight ) ) ) ],
% 0.46/1.10 [ ~( truth( isa( asked, X ) ) ), ~( truth( isa( other, Y ) ) ) ]
% 0.46/1.10 ] .
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 percentage equality = 0.000000, percentage horn = 0.777778
% 0.46/1.10 This a non-horn, non-equality problem
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Options Used:
% 0.46/1.10
% 0.46/1.10 useres = 1
% 0.46/1.10 useparamod = 0
% 0.46/1.10 useeqrefl = 0
% 0.46/1.10 useeqfact = 0
% 0.46/1.10 usefactor = 1
% 0.46/1.10 usesimpsplitting = 0
% 0.46/1.10 usesimpdemod = 0
% 0.46/1.10 usesimpres = 3
% 0.46/1.10
% 0.46/1.10 resimpinuse = 1000
% 0.46/1.10 resimpclauses = 20000
% 0.46/1.10 substype = standard
% 0.46/1.10 backwardsubs = 1
% 0.46/1.10 selectoldest = 5
% 0.46/1.10
% 0.46/1.10 litorderings [0] = split
% 0.46/1.10 litorderings [1] = liftord
% 0.46/1.10
% 0.46/1.10 termordering = none
% 0.46/1.10
% 0.46/1.10 litapriori = 1
% 0.46/1.10 termapriori = 0
% 0.46/1.10 litaposteriori = 0
% 0.46/1.10 termaposteriori = 0
% 0.46/1.10 demodaposteriori = 0
% 0.46/1.10 ordereqreflfact = 0
% 0.46/1.10
% 0.46/1.10 litselect = none
% 0.46/1.10
% 0.46/1.10 maxweight = 15
% 0.46/1.10 maxdepth = 30000
% 0.46/1.10 maxlength = 115
% 0.46/1.10 maxnrvars = 195
% 0.46/1.10 excuselevel = 1
% 0.46/1.10 increasemaxweight = 1
% 0.46/1.10
% 0.46/1.10 maxselected = 10000000
% 0.46/1.10 maxnrclauses = 10000000
% 0.46/1.10
% 0.46/1.10 showgenerated = 0
% 0.46/1.10 showkept = 0
% 0.46/1.10 showselected = 0
% 0.46/1.10 showdeleted = 0
% 0.46/1.10 showresimp = 1
% 0.46/1.10 showstatus = 2000
% 0.46/1.10
% 0.46/1.10 prologoutput = 1
% 0.46/1.10 nrgoals = 5000000
% 0.46/1.10 totalproof = 1
% 0.46/1.10
% 0.46/1.10 Symbols occurring in the translation:
% 0.46/1.10
% 0.46/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.10 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.46/1.10 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.46/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.10 knight [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.46/1.10 isa [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.46/1.10 truth [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.46/1.10 knave [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.46/1.10 says [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.46/1.10 or [48, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.46/1.10 asked [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.46/1.10 other [50, 0] (w:1, o:7, a:1, s:1, b:0).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Starting Search:
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Bliksems!, er is een bewijs:
% 0.46/1.10 % SZS status Unsatisfiable
% 0.46/1.10 % SZS output start Refutation
% 0.46/1.10
% 0.46/1.10 clause( 0, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.46/1.10 .
% 0.46/1.10 clause( 8, [ ~( truth( isa( other, Y ) ) ), ~( truth( isa( asked, X ) ) ) ]
% 0.46/1.10 )
% 0.46/1.10 .
% 0.46/1.10 clause( 25, [ truth( isa( other, knight ) ), ~( truth( isa( asked, X ) ) )
% 0.46/1.10 ] )
% 0.46/1.10 .
% 0.46/1.10 clause( 29, [ ~( truth( isa( asked, Y ) ) ), ~( truth( isa( asked, X ) ) )
% 0.46/1.10 ] )
% 0.46/1.10 .
% 0.46/1.10 clause( 32, [ ~( truth( isa( asked, X ) ) ) ] )
% 0.46/1.10 .
% 0.46/1.10 clause( 33, [] )
% 0.46/1.10 .
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 % SZS output end Refutation
% 0.46/1.10 found a proof!
% 0.46/1.10
% 0.46/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.10
% 0.46/1.10 initialclauses(
% 0.46/1.10 [ clause( 35, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.46/1.10 , clause( 36, [ ~( truth( isa( X, knight ) ) ), ~( truth( isa( X, knave ) )
% 0.46/1.10 ) ] )
% 0.46/1.10 , clause( 37, [ truth( X ), ~( truth( isa( Y, knight ) ) ), ~( says( Y, X )
% 0.46/1.10 ) ] )
% 0.46/1.10 , clause( 38, [ truth( isa( X, knight ) ), ~( truth( Y ) ), ~( says( X, Y )
% 0.46/1.10 ) ] )
% 0.46/1.10 , clause( 39, [ truth( X ), truth( Y ), ~( truth( or( X, Y ) ) ) ] )
% 0.46/1.10 , clause( 40, [ truth( or( X, Y ) ), ~( truth( X ) ) ] )
% 0.46/1.10 , clause( 41, [ truth( or( X, Y ) ), ~( truth( Y ) ) ] )
% 0.46/1.10 , clause( 42, [ says( asked, or( isa( asked, knight ), isa( other, knight )
% 0.46/1.10 ) ) ] )
% 0.46/1.10 , clause( 43, [ ~( truth( isa( asked, X ) ) ), ~( truth( isa( other, Y ) )
% 0.46/1.10 ) ] )
% 0.46/1.10 ] ).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 subsumption(
% 0.46/1.10 clause( 0, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.46/1.10 , clause( 35, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.46/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.46/1.10 1 )] ) ).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 subsumption(
% 0.46/1.10 clause( 8, [ ~( truth( isa( other, Y ) ) ), ~( truth( isa( asked, X ) ) ) ]
% 0.46/1.10 )
% 0.46/1.10 , clause( 43, [ ~( truth( isa( asked, X ) ) ), ~( truth( isa( other, Y ) )
% 0.46/1.10 ) ] )
% 0.46/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.46/1.10 ), ==>( 1, 0 )] ) ).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 resolution(
% 0.46/1.10 clause( 46, [ ~( truth( isa( asked, X ) ) ), truth( isa( other, knight ) )
% 0.46/1.10 ] )
% 0.46/1.10 , clause( 8, [ ~( truth( isa( other, Y ) ) ), ~( truth( isa( asked, X ) ) )
% 0.46/1.10 ] )
% 0.46/1.10 , 0, clause( 0, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.46/1.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, knave )] ), substitution( 1, [
% 0.46/1.10 :=( X, other )] )).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 subsumption(
% 0.46/1.10 clause( 25, [ truth( isa( other, knight ) ), ~( truth( isa( asked, X ) ) )
% 0.46/1.10 ] )
% 0.46/1.10 , clause( 46, [ ~( truth( isa( asked, X ) ) ), truth( isa( other, knight )
% 0.46/1.10 ) ] )
% 0.46/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.46/1.10 0 )] ) ).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 resolution(
% 0.46/1.10 clause( 49, [ ~( truth( isa( asked, X ) ) ), ~( truth( isa( asked, Y ) ) )
% 0.46/1.10 ] )
% 0.46/1.10 , clause( 8, [ ~( truth( isa( other, Y ) ) ), ~( truth( isa( asked, X ) ) )
% 0.46/1.10 ] )
% 0.46/1.10 , 0, clause( 25, [ truth( isa( other, knight ) ), ~( truth( isa( asked, X )
% 0.46/1.10 ) ) ] )
% 0.46/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, knight )] ), substitution( 1, [
% 0.46/1.10 :=( X, Y )] )).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 subsumption(
% 0.46/1.10 clause( 29, [ ~( truth( isa( asked, Y ) ) ), ~( truth( isa( asked, X ) ) )
% 0.46/1.10 ] )
% 0.46/1.10 , clause( 49, [ ~( truth( isa( asked, X ) ) ), ~( truth( isa( asked, Y ) )
% 0.46/1.10 ) ] )
% 0.46/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.10 ), ==>( 1, 0 )] ) ).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 factor(
% 0.46/1.10 clause( 51, [ ~( truth( isa( asked, X ) ) ) ] )
% 0.46/1.10 , clause( 29, [ ~( truth( isa( asked, Y ) ) ), ~( truth( isa( asked, X ) )
% 0.46/1.10 ) ] )
% 0.46/1.10 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 subsumption(
% 0.46/1.10 clause( 32, [ ~( truth( isa( asked, X ) ) ) ] )
% 0.46/1.10 , clause( 51, [ ~( truth( isa( asked, X ) ) ) ] )
% 0.46/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 resolution(
% 0.46/1.10 clause( 52, [ truth( isa( asked, knave ) ) ] )
% 0.46/1.10 , clause( 32, [ ~( truth( isa( asked, X ) ) ) ] )
% 0.46/1.10 , 0, clause( 0, [ truth( isa( X, knight ) ), truth( isa( X, knave ) ) ] )
% 0.46/1.10 , 0, substitution( 0, [ :=( X, knight )] ), substitution( 1, [ :=( X, asked
% 0.46/1.10 )] )).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 resolution(
% 0.46/1.10 clause( 54, [] )
% 0.46/1.10 , clause( 32, [ ~( truth( isa( asked, X ) ) ) ] )
% 0.46/1.10 , 0, clause( 52, [ truth( isa( asked, knave ) ) ] )
% 0.46/1.10 , 0, substitution( 0, [ :=( X, knave )] ), substitution( 1, [] )).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 subsumption(
% 0.46/1.10 clause( 33, [] )
% 0.46/1.10 , clause( 54, [] )
% 0.46/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 end.
% 0.46/1.10
% 0.46/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.10
% 0.46/1.10 Memory use:
% 0.46/1.10
% 0.46/1.10 space for terms: 551
% 0.46/1.10 space for clauses: 1734
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 clauses generated: 53
% 0.46/1.10 clauses kept: 34
% 0.46/1.10 clauses selected: 9
% 0.46/1.10 clauses deleted: 0
% 0.46/1.10 clauses inuse deleted: 0
% 0.46/1.10
% 0.46/1.10 subsentry: 145
% 0.46/1.10 literals s-matched: 112
% 0.46/1.10 literals matched: 112
% 0.46/1.10 full subsumption: 0
% 0.46/1.10
% 0.46/1.10 checksum: -844121681
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Bliksem ended
%------------------------------------------------------------------------------