TSTP Solution File: SYN345-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 : Thu Jul 21 02:49:52 EDT 2022
% Result : Unsatisfiable 0.42s 1.07s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.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 : Mon Jul 11 19:32:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.07 *** allocated 10000 integers for termspace/termends
% 0.42/1.07 *** allocated 10000 integers for clauses
% 0.42/1.07 *** allocated 10000 integers for justifications
% 0.42/1.07 Bliksem 1.12
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Automatic Strategy Selection
% 0.42/1.07
% 0.42/1.07 Clauses:
% 0.42/1.07 [
% 0.42/1.07 [ f( a, b, X ), ~( f( a, a, b ) ), f( a, b, b ) ],
% 0.42/1.07 [ ~( f( X, Y, z( Y, X ) ) ), ~( f( a, a, b ) ), f( a, b, b ) ],
% 0.42/1.07 [ f( b, X, Y ), f( a, a, b ), ~( f( a, b, b ) ) ],
% 0.42/1.07 [ ~( f( X, z( X, Y ), z( X, Y ) ) ), f( a, a, b ), ~( f( a, b, b ) ) ]
% 0.42/1.07 ,
% 0.42/1.07 [ f( X, Y, z( X, Y ) ), f( a, a, b ), f( a, b, b ) ],
% 0.42/1.07 [ f( X, Y, z( X, Y ) ), ~( f( a, a, b ) ), ~( f( a, b, b ) ) ],
% 0.42/1.07 [ ~( f( b, b, X ) ), f( a, a, b ), f( a, b, b ) ],
% 0.42/1.07 [ ~( f( b, b, X ) ), ~( f( a, a, b ) ), ~( f( a, b, b ) ) ]
% 0.42/1.07 ] .
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 percentage equality = 0.000000, percentage horn = 0.428571
% 0.42/1.07 This a non-horn, non-equality problem
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Options Used:
% 0.42/1.07
% 0.42/1.07 useres = 1
% 0.42/1.07 useparamod = 0
% 0.42/1.07 useeqrefl = 0
% 0.42/1.07 useeqfact = 0
% 0.42/1.07 usefactor = 1
% 0.42/1.07 usesimpsplitting = 0
% 0.42/1.07 usesimpdemod = 0
% 0.42/1.07 usesimpres = 3
% 0.42/1.07
% 0.42/1.07 resimpinuse = 1000
% 0.42/1.07 resimpclauses = 20000
% 0.42/1.07 substype = standard
% 0.42/1.07 backwardsubs = 1
% 0.42/1.07 selectoldest = 5
% 0.42/1.07
% 0.42/1.07 litorderings [0] = split
% 0.42/1.07 litorderings [1] = liftord
% 0.42/1.07
% 0.42/1.07 termordering = none
% 0.42/1.07
% 0.42/1.07 litapriori = 1
% 0.42/1.07 termapriori = 0
% 0.42/1.07 litaposteriori = 0
% 0.42/1.07 termaposteriori = 0
% 0.42/1.07 demodaposteriori = 0
% 0.42/1.07 ordereqreflfact = 0
% 0.42/1.07
% 0.42/1.07 litselect = none
% 0.42/1.07
% 0.42/1.07 maxweight = 15
% 0.42/1.07 maxdepth = 30000
% 0.42/1.07 maxlength = 115
% 0.42/1.07 maxnrvars = 195
% 0.42/1.07 excuselevel = 1
% 0.42/1.07 increasemaxweight = 1
% 0.42/1.07
% 0.42/1.07 maxselected = 10000000
% 0.42/1.07 maxnrclauses = 10000000
% 0.42/1.07
% 0.42/1.07 showgenerated = 0
% 0.42/1.07 showkept = 0
% 0.42/1.07 showselected = 0
% 0.42/1.07 showdeleted = 0
% 0.42/1.07 showresimp = 1
% 0.42/1.07 showstatus = 2000
% 0.42/1.07
% 0.42/1.07 prologoutput = 1
% 0.42/1.07 nrgoals = 5000000
% 0.42/1.07 totalproof = 1
% 0.42/1.07
% 0.42/1.07 Symbols occurring in the translation:
% 0.42/1.07
% 0.42/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.07 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 0.42/1.07 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.42/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 a [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/1.07 b [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/1.07 f [42, 3] (w:1, o:44, a:1, s:1, b:0),
% 0.42/1.07 z [44, 2] (w:1, o:43, a:1, s:1, b:0).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Starting Search:
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksems!, er is een bewijs:
% 0.42/1.07 % SZS status Unsatisfiable
% 0.42/1.07 % SZS output start Refutation
% 0.42/1.07
% 0.42/1.07 clause( 0, [ ~( f( a, a, b ) ), f( a, b, b ), f( a, b, X ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 1, [ f( a, a, b ), ~( f( a, b, b ) ), f( b, X, Y ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 2, [ f( a, a, b ), ~( f( a, b, b ) ), ~( f( X, z( X, Y ), z( X, Y )
% 0.42/1.07 ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 3, [ f( a, a, b ), f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 4, [ ~( f( a, a, b ) ), ~( f( a, b, b ) ), f( X, Y, z( X, Y ) ) ]
% 0.42/1.07 )
% 0.42/1.07 .
% 0.42/1.07 clause( 5, [ f( a, a, b ), f( a, b, b ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 6, [ ~( f( a, a, b ) ), ~( f( a, b, b ) ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 7, [ ~( f( a, a, b ) ), f( a, b, b ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 8, [ ~( f( b, b, X ) ), ~( f( a, a, b ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 9, [ ~( f( b, b, X ) ), f( a, b, b ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 10, [ f( a, a, b ), f( b, Y, Z ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 11, [ ~( f( b, b, Z ) ), ~( f( b, b, T ) ), f( b, X, Y ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 12, [ f( b, Y, Z ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 13, [ f( a, a, b ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 14, [ ~( f( b, b, X ) ), f( a, a, b ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 15, [ ~( f( b, b, Y ) ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 16, [ ~( f( b, b, X ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 17, [ f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 18, [ f( a, b, b ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 20, [ f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 .
% 0.42/1.07 clause( 21, [] )
% 0.42/1.07 .
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 % SZS output end Refutation
% 0.42/1.07 found a proof!
% 0.42/1.07
% 0.42/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.07
% 0.42/1.07 initialclauses(
% 0.42/1.07 [ clause( 23, [ f( a, b, X ), ~( f( a, a, b ) ), f( a, b, b ) ] )
% 0.42/1.07 , clause( 24, [ ~( f( X, Y, z( Y, X ) ) ), ~( f( a, a, b ) ), f( a, b, b )
% 0.42/1.07 ] )
% 0.42/1.07 , clause( 25, [ f( b, X, Y ), f( a, a, b ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 , clause( 26, [ ~( f( X, z( X, Y ), z( X, Y ) ) ), f( a, a, b ), ~( f( a, b
% 0.42/1.07 , b ) ) ] )
% 0.42/1.07 , clause( 27, [ f( X, Y, z( X, Y ) ), f( a, a, b ), f( a, b, b ) ] )
% 0.42/1.07 , clause( 28, [ f( X, Y, z( X, Y ) ), ~( f( a, a, b ) ), ~( f( a, b, b ) )
% 0.42/1.07 ] )
% 0.42/1.07 , clause( 29, [ ~( f( b, b, X ) ), f( a, a, b ), f( a, b, b ) ] )
% 0.42/1.07 , clause( 30, [ ~( f( b, b, X ) ), ~( f( a, a, b ) ), ~( f( a, b, b ) ) ]
% 0.42/1.07 )
% 0.42/1.07 ] ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 0, [ ~( f( a, a, b ) ), f( a, b, b ), f( a, b, X ) ] )
% 0.42/1.07 , clause( 23, [ f( a, b, X ), ~( f( a, a, b ) ), f( a, b, b ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, b )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.07 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 1, [ f( a, a, b ), ~( f( a, b, b ) ), f( b, X, Y ) ] )
% 0.42/1.07 , clause( 25, [ f( b, X, Y ), f( a, a, b ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.42/1.07 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 2, [ f( a, a, b ), ~( f( a, b, b ) ), ~( f( X, z( X, Y ), z( X, Y )
% 0.42/1.07 ) ) ] )
% 0.42/1.07 , clause( 26, [ ~( f( X, z( X, Y ), z( X, Y ) ) ), f( a, a, b ), ~( f( a, b
% 0.42/1.07 , b ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.42/1.07 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 3, [ f( a, a, b ), f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , clause( 27, [ f( X, Y, z( X, Y ) ), f( a, a, b ), f( a, b, b ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.42/1.07 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 4, [ ~( f( a, a, b ) ), ~( f( a, b, b ) ), f( X, Y, z( X, Y ) ) ]
% 0.42/1.07 )
% 0.42/1.07 , clause( 28, [ f( X, Y, z( X, Y ) ), ~( f( a, a, b ) ), ~( f( a, b, b ) )
% 0.42/1.07 ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.42/1.07 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 5, [ f( a, a, b ), f( a, b, b ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 29, [ ~( f( b, b, X ) ), f( a, a, b ), f( a, b, b ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.42/1.07 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 6, [ ~( f( a, a, b ) ), ~( f( a, b, b ) ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 30, [ ~( f( b, b, X ) ), ~( f( a, a, b ) ), ~( f( a, b, b ) ) ]
% 0.42/1.07 )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.42/1.07 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 38, [ ~( f( a, a, b ) ), f( a, b, b ) ] )
% 0.42/1.07 , clause( 0, [ ~( f( a, a, b ) ), f( a, b, b ), f( a, b, X ) ] )
% 0.42/1.07 , 1, 2, substitution( 0, [ :=( X, b )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 7, [ ~( f( a, a, b ) ), f( a, b, b ) ] )
% 0.42/1.07 , clause( 38, [ ~( f( a, a, b ) ), f( a, b, b ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 39, [ ~( f( a, a, b ) ), ~( f( b, b, X ) ), ~( f( a, a, b ) ) ] )
% 0.42/1.07 , clause( 6, [ ~( f( a, a, b ) ), ~( f( a, b, b ) ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , 1, clause( 7, [ ~( f( a, a, b ) ), f( a, b, b ) ] )
% 0.42/1.07 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 40, [ ~( f( a, a, b ) ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 39, [ ~( f( a, a, b ) ), ~( f( b, b, X ) ), ~( f( a, a, b ) ) ]
% 0.42/1.07 )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 8, [ ~( f( b, b, X ) ), ~( f( a, a, b ) ) ] )
% 0.42/1.07 , clause( 40, [ ~( f( a, a, b ) ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.07 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 41, [ f( a, b, b ), f( a, b, b ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 7, [ ~( f( a, a, b ) ), f( a, b, b ) ] )
% 0.42/1.07 , 0, clause( 5, [ f( a, a, b ), f( a, b, b ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 42, [ f( a, b, b ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 41, [ f( a, b, b ), f( a, b, b ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 9, [ ~( f( b, b, X ) ), f( a, b, b ) ] )
% 0.42/1.07 , clause( 42, [ f( a, b, b ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.07 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 44, [ f( a, a, b ), f( b, X, Y ), ~( f( b, b, Z ) ) ] )
% 0.42/1.07 , clause( 1, [ f( a, a, b ), ~( f( a, b, b ) ), f( b, X, Y ) ] )
% 0.42/1.07 , 1, clause( 9, [ ~( f( b, b, X ) ), f( a, b, b ) ] )
% 0.42/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.42/1.07 , Z )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 10, [ f( a, a, b ), f( b, Y, Z ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 44, [ f( a, a, b ), f( b, X, Y ), ~( f( b, b, Z ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 46, [ ~( f( b, b, X ) ), f( b, Y, Z ), ~( f( b, b, T ) ) ] )
% 0.42/1.07 , clause( 8, [ ~( f( b, b, X ) ), ~( f( a, a, b ) ) ] )
% 0.42/1.07 , 1, clause( 10, [ f( a, a, b ), f( b, Y, Z ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, T ), :=( Y
% 0.42/1.07 , Y ), :=( Z, Z )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 11, [ ~( f( b, b, Z ) ), ~( f( b, b, T ) ), f( b, X, Y ) ] )
% 0.42/1.07 , clause( 46, [ ~( f( b, b, X ) ), f( b, Y, Z ), ~( f( b, b, T ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.42/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 48, [ ~( f( b, b, X ) ), f( b, Y, Z ) ] )
% 0.42/1.07 , clause( 11, [ ~( f( b, b, Z ) ), ~( f( b, b, T ) ), f( b, X, Y ) ] )
% 0.42/1.07 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, X )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 12, [ f( b, Y, Z ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 48, [ ~( f( b, b, X ) ), f( b, Y, Z ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.07 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 49, [ f( a, a, b ), ~( f( a, b, b ) ), ~( f( b, b, Y ) ) ] )
% 0.42/1.07 , clause( 2, [ f( a, a, b ), ~( f( a, b, b ) ), ~( f( X, z( X, Y ), z( X, Y
% 0.42/1.07 ) ) ) ] )
% 0.42/1.07 , 2, clause( 12, [ f( b, Y, Z ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, b ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.42/1.07 , Y ), :=( Y, z( b, X ) ), :=( Z, z( b, X ) )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 50, [ f( a, a, b ), ~( f( a, b, b ) ), f( a, a, b ), ~( f( a, b, b
% 0.42/1.07 ) ) ] )
% 0.42/1.07 , clause( 49, [ f( a, a, b ), ~( f( a, b, b ) ), ~( f( b, b, Y ) ) ] )
% 0.42/1.07 , 2, clause( 1, [ f( a, a, b ), ~( f( a, b, b ) ), f( b, X, Y ) ] )
% 0.42/1.07 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.42/1.07 , b ), :=( Y, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 51, [ f( a, a, b ), ~( f( a, b, b ) ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 , clause( 50, [ f( a, a, b ), ~( f( a, b, b ) ), f( a, a, b ), ~( f( a, b,
% 0.42/1.07 b ) ) ] )
% 0.42/1.07 , 0, 2, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 52, [ f( a, a, b ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 , clause( 51, [ f( a, a, b ), ~( f( a, b, b ) ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 , 1, 2, substitution( 0, [] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 13, [ f( a, a, b ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 , clause( 52, [ f( a, a, b ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 53, [ f( a, a, b ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 13, [ f( a, a, b ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 , 1, clause( 9, [ ~( f( b, b, X ) ), f( a, b, b ) ] )
% 0.42/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 14, [ ~( f( b, b, X ) ), f( a, a, b ) ] )
% 0.42/1.07 , clause( 53, [ f( a, a, b ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.07 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 54, [ ~( f( b, b, X ) ), ~( f( b, b, Y ) ) ] )
% 0.42/1.07 , clause( 8, [ ~( f( b, b, X ) ), ~( f( a, a, b ) ) ] )
% 0.42/1.07 , 1, clause( 14, [ ~( f( b, b, X ) ), f( a, a, b ) ] )
% 0.42/1.07 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 15, [ ~( f( b, b, Y ) ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 54, [ ~( f( b, b, X ) ), ~( f( b, b, Y ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.07 ), ==>( 1, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 56, [ ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 15, [ ~( f( b, b, Y ) ), ~( f( b, b, X ) ) ] )
% 0.42/1.07 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 16, [ ~( f( b, b, X ) ) ] )
% 0.42/1.07 , clause( 56, [ ~( f( b, b, X ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 57, [ f( a, b, b ), f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , clause( 7, [ ~( f( a, a, b ) ), f( a, b, b ) ] )
% 0.42/1.07 , 0, clause( 3, [ f( a, a, b ), f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 58, [ f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , clause( 57, [ f( a, b, b ), f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 17, [ f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , clause( 58, [ f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.07 ), ==>( 1, 1 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 59, [ f( a, b, b ) ] )
% 0.42/1.07 , clause( 16, [ ~( f( b, b, X ) ) ] )
% 0.42/1.07 , 0, clause( 17, [ f( a, b, b ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , 1, substitution( 0, [ :=( X, z( b, b ) )] ), substitution( 1, [ :=( X, b
% 0.42/1.07 ), :=( Y, b )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 18, [ f( a, b, b ) ] )
% 0.42/1.07 , clause( 59, [ f( a, b, b ) ] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 60, [ ~( f( a, b, b ) ), f( X, Y, z( X, Y ) ), ~( f( a, b, b ) ) ]
% 0.42/1.07 )
% 0.42/1.07 , clause( 4, [ ~( f( a, a, b ) ), ~( f( a, b, b ) ), f( X, Y, z( X, Y ) ) ]
% 0.42/1.07 )
% 0.42/1.07 , 0, clause( 13, [ f( a, a, b ), ~( f( a, b, b ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 factor(
% 0.42/1.07 clause( 61, [ ~( f( a, b, b ) ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , clause( 60, [ ~( f( a, b, b ) ), f( X, Y, z( X, Y ) ), ~( f( a, b, b ) )
% 0.42/1.07 ] )
% 0.42/1.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 62, [ f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , clause( 61, [ ~( f( a, b, b ) ), f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , 0, clause( 18, [ f( a, b, b ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.42/1.07 ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 20, [ f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , clause( 62, [ f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.07 )] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 resolution(
% 0.42/1.07 clause( 63, [] )
% 0.42/1.07 , clause( 16, [ ~( f( b, b, X ) ) ] )
% 0.42/1.07 , 0, clause( 20, [ f( X, Y, z( X, Y ) ) ] )
% 0.42/1.07 , 0, substitution( 0, [ :=( X, z( b, b ) )] ), substitution( 1, [ :=( X, b
% 0.42/1.07 ), :=( Y, b )] )).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 subsumption(
% 0.42/1.07 clause( 21, [] )
% 0.42/1.07 , clause( 63, [] )
% 0.42/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 end.
% 0.42/1.07
% 0.42/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.07
% 0.42/1.07 Memory use:
% 0.42/1.07
% 0.42/1.07 space for terms: 541
% 0.42/1.07 space for clauses: 1009
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 clauses generated: 54
% 0.42/1.07 clauses kept: 22
% 0.42/1.07 clauses selected: 14
% 0.42/1.07 clauses deleted: 7
% 0.42/1.07 clauses inuse deleted: 0
% 0.42/1.07
% 0.42/1.07 subsentry: 41
% 0.42/1.07 literals s-matched: 31
% 0.42/1.07 literals matched: 31
% 0.42/1.07 full subsumption: 0
% 0.42/1.07
% 0.42/1.07 checksum: 1796
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksem ended
%------------------------------------------------------------------------------