%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN349-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 02:49:55 EDT 2022
% Result : Unsatisfiable 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN349-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Mon Jul 11 12:52:28 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09 [
% 0.71/1.09 [ f( X, g( X, Y ) ), ~( f( w( X ), g( X, Y ) ) ) ],
% 0.71/1.09 [ ~( f( X, g( X, Y ) ) ), f( w( X ), g( X, Y ) ) ],
% 0.71/1.09 [ ~( f( X, g( X, Y ) ) ), f( g( X, Y ), Y ), ~( f( Y, g( X, Y ) ) ), f(
% 0.71/1.09 g( X, Y ), w( X ) ) ],
% 0.71/1.09 [ f( X, g( X, Y ) ), ~( f( g( X, Y ), Y ) ), ~( f( Y, g( X, Y ) ) ), f(
% 0.71/1.09 g( X, Y ), w( X ) ) ],
% 0.71/1.09 [ f( X, g( X, Y ) ), f( g( X, Y ), Y ), f( Y, g( X, Y ) ), f( g( X, Y )
% 0.71/1.09 , w( X ) ) ],
% 0.71/1.09 [ ~( f( X, g( X, Y ) ) ), ~( f( g( X, Y ), Y ) ), f( Y, g( X, Y ) ), f(
% 0.71/1.09 g( X, Y ), w( X ) ) ],
% 0.71/1.09 [ ~( f( X, g( X, Y ) ) ), f( g( X, Y ), Y ), f( Y, g( X, Y ) ), ~( f( g(
% 0.71/1.09 X, Y ), w( X ) ) ) ],
% 0.71/1.09 [ f( X, g( X, Y ) ), ~( f( g( X, Y ), Y ) ), f( Y, g( X, Y ) ), ~( f( g(
% 0.71/1.09 X, Y ), w( X ) ) ) ],
% 0.71/1.09 [ f( X, g( X, Y ) ), f( g( X, Y ), Y ), ~( f( Y, g( X, Y ) ) ), ~( f( g(
% 0.71/1.09 X, Y ), w( X ) ) ) ],
% 0.71/1.09 [ ~( f( X, g( X, Y ) ) ), ~( f( g( X, Y ), Y ) ), ~( f( Y, g( X, Y ) ) )
% 0.71/1.09 , ~( f( g( X, Y ), w( X ) ) ) ]
% 0.71/1.09 ] .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 percentage equality = 0.000000, percentage horn = 0.300000
% 0.71/1.09 This a non-horn, non-equality problem
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Options Used:
% 0.71/1.09
% 0.71/1.09 useres = 1
% 0.71/1.09 useparamod = 0
% 0.71/1.09 useeqrefl = 0
% 0.71/1.09 useeqfact = 0
% 0.71/1.09 usefactor = 1
% 0.71/1.09 usesimpsplitting = 0
% 0.71/1.09 usesimpdemod = 0
% 0.71/1.09 usesimpres = 3
% 0.71/1.09
% 0.71/1.09 resimpinuse = 1000
% 0.71/1.09 resimpclauses = 20000
% 0.71/1.09 substype = standard
% 0.71/1.09 backwardsubs = 1
% 0.71/1.09 selectoldest = 5
% 0.71/1.09
% 0.71/1.09 litorderings [0] = split
% 0.71/1.09 litorderings [1] = liftord
% 0.71/1.09
% 0.71/1.09 termordering = none
% 0.71/1.09
% 0.71/1.09 litapriori = 1
% 0.71/1.09 termapriori = 0
% 0.71/1.09 litaposteriori = 0
% 0.71/1.09 termaposteriori = 0
% 0.71/1.09 demodaposteriori = 0
% 0.71/1.09 ordereqreflfact = 0
% 0.71/1.09
% 0.71/1.09 litselect = none
% 0.71/1.09
% 0.71/1.09 maxweight = 15
% 0.71/1.09 maxdepth = 30000
% 0.71/1.09 maxlength = 115
% 0.71/1.09 maxnrvars = 195
% 0.71/1.09 excuselevel = 1
% 0.71/1.09 increasemaxweight = 1
% 0.71/1.09
% 0.71/1.09 maxselected = 10000000
% 0.71/1.09 maxnrclauses = 10000000
% 0.71/1.09
% 0.71/1.09 showgenerated = 0
% 0.71/1.09 showkept = 0
% 0.71/1.09 showselected = 0
% 0.71/1.09 showdeleted = 0
% 0.71/1.09 showresimp = 1
% 0.71/1.09 showstatus = 2000
% 0.71/1.09
% 0.71/1.09 prologoutput = 1
% 0.71/1.09 nrgoals = 5000000
% 0.71/1.09 totalproof = 1
% 0.71/1.09
% 0.71/1.09 Symbols occurring in the translation:
% 0.71/1.09
% 0.71/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.09 . [1, 2] (w:1, o:17, a:1, s:1, b:0),
% 0.71/1.09 ! [4, 1] (w:0, o:11, a:1, s:1, b:0),
% 0.71/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 g [41, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.71/1.09 f [42, 2] (w:1, o:42, a:1, s:1, b:0),
% 0.71/1.09 w [43, 1] (w:1, o:16, a:1, s:1, b:0).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Starting Search:
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksems!, er is een bewijs:
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09 % SZS output start Refutation
% 0.71/1.09
% 0.71/1.09 clause( 0, [ ~( f( w( X ), g( X, Y ) ) ), f( X, g( X, Y ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 1, [ f( w( X ), g( X, Y ) ), ~( f( X, g( X, Y ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 2, [ f( g( X, Y ), w( X ) ), ~( f( Y, g( X, Y ) ) ), ~( f( X, g( X
% 0.71/1.09 , Y ) ) ), f( g( X, Y ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 4, [ f( g( X, Y ), w( X ) ), f( Y, g( X, Y ) ), f( X, g( X, Y ) ),
% 0.71/1.09 f( g( X, Y ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 7, [ ~( f( g( X, Y ), w( X ) ) ), f( Y, g( X, Y ) ), f( X, g( X, Y
% 0.71/1.09 ) ), ~( f( g( X, Y ), Y ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 9, [ ~( f( g( X, Y ), w( X ) ) ), ~( f( Y, g( X, Y ) ) ), ~( f( X,
% 0.71/1.09 g( X, Y ) ) ), ~( f( g( X, Y ), Y ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 11, [ f( g( X, w( X ) ), w( X ) ), ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 13, [ f( g( X, w( X ) ), w( X ) ), f( X, g( X, w( X ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 15, [ f( X, g( X, w( X ) ) ), f( w( X ), g( X, w( X ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 17, [ ~( f( X, g( X, w( X ) ) ) ), ~( f( w( X ), g( X, w( X ) ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 18, [ ~( f( w( X ), g( X, w( X ) ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 22, [] )
% 0.71/1.09 .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 initialclauses(
% 0.71/1.09 [ clause( 24, [ f( X, g( X, Y ) ), ~( f( w( X ), g( X, Y ) ) ) ] )
% 0.71/1.09 , clause( 25, [ ~( f( X, g( X, Y ) ) ), f( w( X ), g( X, Y ) ) ] )
% 0.71/1.09 , clause( 26, [ ~( f( X, g( X, Y ) ) ), f( g( X, Y ), Y ), ~( f( Y, g( X, Y
% 0.71/1.09 ) ) ), f( g( X, Y ), w( X ) ) ] )
% 0.71/1.09 , clause( 27, [ f( X, g( X, Y ) ), ~( f( g( X, Y ), Y ) ), ~( f( Y, g( X, Y
% 0.71/1.09 ) ) ), f( g( X, Y ), w( X ) ) ] )
% 0.71/1.09 , clause( 28, [ f( X, g( X, Y ) ), f( g( X, Y ), Y ), f( Y, g( X, Y ) ), f(
% 0.71/1.09 g( X, Y ), w( X ) ) ] )
% 0.71/1.09 , clause( 29, [ ~( f( X, g( X, Y ) ) ), ~( f( g( X, Y ), Y ) ), f( Y, g( X
% 0.71/1.09 , Y ) ), f( g( X, Y ), w( X ) ) ] )
% 0.71/1.09 , clause( 30, [ ~( f( X, g( X, Y ) ) ), f( g( X, Y ), Y ), f( Y, g( X, Y )
% 0.71/1.09 ), ~( f( g( X, Y ), w( X ) ) ) ] )
% 0.71/1.09 , clause( 31, [ f( X, g( X, Y ) ), ~( f( g( X, Y ), Y ) ), f( Y, g( X, Y )
% 0.71/1.09 ), ~( f( g( X, Y ), w( X ) ) ) ] )
% 0.71/1.09 , clause( 32, [ f( X, g( X, Y ) ), f( g( X, Y ), Y ), ~( f( Y, g( X, Y ) )
% 0.71/1.09 ), ~( f( g( X, Y ), w( X ) ) ) ] )
% 0.71/1.09 , clause( 33, [ ~( f( X, g( X, Y ) ) ), ~( f( g( X, Y ), Y ) ), ~( f( Y, g(
% 0.71/1.09 X, Y ) ) ), ~( f( g( X, Y ), w( X ) ) ) ] )
% 0.71/1.09 ] ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 0, [ ~( f( w( X ), g( X, Y ) ) ), f( X, g( X, Y ) ) ] )
% 0.71/1.09 , clause( 24, [ f( X, g( X, Y ) ), ~( f( w( X ), g( X, Y ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.09 ), ==>( 1, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 1, [ f( w( X ), g( X, Y ) ), ~( f( X, g( X, Y ) ) ) ] )
% 0.71/1.09 , clause( 25, [ ~( f( X, g( X, Y ) ) ), f( w( X ), g( X, Y ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.09 ), ==>( 1, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 2, [ f( g( X, Y ), w( X ) ), ~( f( Y, g( X, Y ) ) ), ~( f( X, g( X
% 0.71/1.09 , Y ) ) ), f( g( X, Y ), Y ) ] )
% 0.71/1.09 , clause( 26, [ ~( f( X, g( X, Y ) ) ), f( g( X, Y ), Y ), ~( f( Y, g( X, Y
% 0.71/1.09 ) ) ), f( g( X, Y ), w( X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.71/1.09 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 4, [ f( g( X, Y ), w( X ) ), f( Y, g( X, Y ) ), f( X, g( X, Y ) ),
% 0.71/1.09 f( g( X, Y ), Y ) ] )
% 0.71/1.09 , clause( 28, [ f( X, g( X, Y ) ), f( g( X, Y ), Y ), f( Y, g( X, Y ) ), f(
% 0.71/1.09 g( X, Y ), w( X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.71/1.09 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 7, [ ~( f( g( X, Y ), w( X ) ) ), f( Y, g( X, Y ) ), f( X, g( X, Y
% 0.71/1.09 ) ), ~( f( g( X, Y ), Y ) ) ] )
% 0.71/1.09 , clause( 31, [ f( X, g( X, Y ) ), ~( f( g( X, Y ), Y ) ), f( Y, g( X, Y )
% 0.71/1.09 ), ~( f( g( X, Y ), w( X ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.71/1.09 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 9, [ ~( f( g( X, Y ), w( X ) ) ), ~( f( Y, g( X, Y ) ) ), ~( f( X,
% 0.71/1.09 g( X, Y ) ) ), ~( f( g( X, Y ), Y ) ) ] )
% 0.71/1.09 , clause( 33, [ ~( f( X, g( X, Y ) ) ), ~( f( g( X, Y ), Y ) ), ~( f( Y, g(
% 0.71/1.09 X, Y ) ) ), ~( f( g( X, Y ), w( X ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.71/1.09 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 54, [ f( g( X, w( X ) ), w( X ) ), ~( f( w( X ), g( X, w( X ) ) ) )
% 0.71/1.09 , ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , clause( 2, [ f( g( X, Y ), w( X ) ), ~( f( Y, g( X, Y ) ) ), ~( f( X, g(
% 0.71/1.09 X, Y ) ) ), f( g( X, Y ), Y ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, w( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 56, [ f( g( X, w( X ) ), w( X ) ), ~( f( X, g( X, w( X ) ) ) ), ~(
% 0.71/1.09 f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , clause( 54, [ f( g( X, w( X ) ), w( X ) ), ~( f( w( X ), g( X, w( X ) ) )
% 0.71/1.09 ), ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , 1, clause( 1, [ f( w( X ), g( X, Y ) ), ~( f( X, g( X, Y ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.71/1.09 , w( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 57, [ f( g( X, w( X ) ), w( X ) ), ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , clause( 56, [ f( g( X, w( X ) ), w( X ) ), ~( f( X, g( X, w( X ) ) ) ),
% 0.71/1.09 ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 11, [ f( g( X, w( X ) ), w( X ) ), ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , clause( 57, [ f( g( X, w( X ) ), w( X ) ), ~( f( X, g( X, w( X ) ) ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.09 1 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 58, [ f( g( X, w( X ) ), w( X ) ), f( w( X ), g( X, w( X ) ) ), f(
% 0.71/1.09 X, g( X, w( X ) ) ) ] )
% 0.71/1.09 , clause( 4, [ f( g( X, Y ), w( X ) ), f( Y, g( X, Y ) ), f( X, g( X, Y ) )
% 0.71/1.09 , f( g( X, Y ), Y ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, w( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 60, [ f( X, g( X, w( X ) ) ), f( g( X, w( X ) ), w( X ) ), f( X, g(
% 0.71/1.09 X, w( X ) ) ) ] )
% 0.71/1.09 , clause( 0, [ ~( f( w( X ), g( X, Y ) ) ), f( X, g( X, Y ) ) ] )
% 0.71/1.09 , 0, clause( 58, [ f( g( X, w( X ) ), w( X ) ), f( w( X ), g( X, w( X ) ) )
% 0.71/1.09 , f( X, g( X, w( X ) ) ) ] )
% 0.71/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, w( X ) )] ), substitution( 1, [
% 0.71/1.09 :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 61, [ f( X, g( X, w( X ) ) ), f( g( X, w( X ) ), w( X ) ) ] )
% 0.71/1.09 , clause( 60, [ f( X, g( X, w( X ) ) ), f( g( X, w( X ) ), w( X ) ), f( X,
% 0.71/1.09 g( X, w( X ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 13, [ f( g( X, w( X ) ), w( X ) ), f( X, g( X, w( X ) ) ) ] )
% 0.71/1.09 , clause( 61, [ f( X, g( X, w( X ) ) ), f( g( X, w( X ) ), w( X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.09 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 62, [ ~( f( g( X, w( X ) ), w( X ) ) ), f( w( X ), g( X, w( X ) ) )
% 0.71/1.09 , f( X, g( X, w( X ) ) ) ] )
% 0.71/1.09 , clause( 7, [ ~( f( g( X, Y ), w( X ) ) ), f( Y, g( X, Y ) ), f( X, g( X,
% 0.71/1.09 Y ) ), ~( f( g( X, Y ), Y ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, w( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 64, [ f( w( X ), g( X, w( X ) ) ), f( X, g( X, w( X ) ) ), f( X, g(
% 0.71/1.09 X, w( X ) ) ) ] )
% 0.71/1.09 , clause( 62, [ ~( f( g( X, w( X ) ), w( X ) ) ), f( w( X ), g( X, w( X ) )
% 0.71/1.09 ), f( X, g( X, w( X ) ) ) ] )
% 0.71/1.09 , 0, clause( 13, [ f( g( X, w( X ) ), w( X ) ), f( X, g( X, w( X ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 65, [ f( w( X ), g( X, w( X ) ) ), f( X, g( X, w( X ) ) ) ] )
% 0.71/1.09 , clause( 64, [ f( w( X ), g( X, w( X ) ) ), f( X, g( X, w( X ) ) ), f( X,
% 0.71/1.09 g( X, w( X ) ) ) ] )
% 0.71/1.09 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 15, [ f( X, g( X, w( X ) ) ), f( w( X ), g( X, w( X ) ) ) ] )
% 0.71/1.09 , clause( 65, [ f( w( X ), g( X, w( X ) ) ), f( X, g( X, w( X ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.09 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 66, [ ~( f( g( X, w( X ) ), w( X ) ) ), ~( f( w( X ), g( X, w( X )
% 0.71/1.09 ) ) ), ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , clause( 9, [ ~( f( g( X, Y ), w( X ) ) ), ~( f( Y, g( X, Y ) ) ), ~( f( X
% 0.71/1.09 , g( X, Y ) ) ), ~( f( g( X, Y ), Y ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, w( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 68, [ ~( f( w( X ), g( X, w( X ) ) ) ), ~( f( X, g( X, w( X ) ) ) )
% 0.71/1.09 , ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , clause( 66, [ ~( f( g( X, w( X ) ), w( X ) ) ), ~( f( w( X ), g( X, w( X
% 0.71/1.09 ) ) ) ), ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , 0, clause( 11, [ f( g( X, w( X ) ), w( X ) ), ~( f( X, g( X, w( X ) ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 69, [ ~( f( w( X ), g( X, w( X ) ) ) ), ~( f( X, g( X, w( X ) ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 68, [ ~( f( w( X ), g( X, w( X ) ) ) ), ~( f( X, g( X, w( X ) ) )
% 0.71/1.09 ), ~( f( X, g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 17, [ ~( f( X, g( X, w( X ) ) ) ), ~( f( w( X ), g( X, w( X ) ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 69, [ ~( f( w( X ), g( X, w( X ) ) ) ), ~( f( X, g( X, w( X ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.09 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 70, [ ~( f( w( X ), g( X, w( X ) ) ) ), ~( f( w( X ), g( X, w( X )
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , clause( 17, [ ~( f( X, g( X, w( X ) ) ) ), ~( f( w( X ), g( X, w( X ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 0, [ ~( f( w( X ), g( X, Y ) ) ), f( X, g( X, Y ) ) ] )
% 0.71/1.09 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.71/1.09 , w( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 71, [ ~( f( w( X ), g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , clause( 70, [ ~( f( w( X ), g( X, w( X ) ) ) ), ~( f( w( X ), g( X, w( X
% 0.71/1.09 ) ) ) ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 18, [ ~( f( w( X ), g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , clause( 71, [ ~( f( w( X ), g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 72, [ f( w( X ), g( X, w( X ) ) ), f( w( X ), g( X, w( X ) ) ) ] )
% 0.71/1.09 , clause( 1, [ f( w( X ), g( X, Y ) ), ~( f( X, g( X, Y ) ) ) ] )
% 0.71/1.09 , 1, clause( 15, [ f( X, g( X, w( X ) ) ), f( w( X ), g( X, w( X ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, w( X ) )] ), substitution( 1, [
% 0.71/1.09 :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 factor(
% 0.71/1.09 clause( 73, [ f( w( X ), g( X, w( X ) ) ) ] )
% 0.71/1.09 , clause( 72, [ f( w( X ), g( X, w( X ) ) ), f( w( X ), g( X, w( X ) ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 74, [] )
% 0.71/1.09 , clause( 18, [ ~( f( w( X ), g( X, w( X ) ) ) ) ] )
% 0.71/1.09 , 0, clause( 73, [ f( w( X ), g( X, w( X ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 22, [] )
% 0.71/1.09 , clause( 74, [] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 end.
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 890
% 0.71/1.09 space for clauses: 1224
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 32
% 0.71/1.09 clauses kept: 23
% 0.71/1.09 clauses selected: 8
% 0.71/1.09 clauses deleted: 2
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 35
% 0.71/1.09 literals s-matched: 24
% 0.71/1.09 literals matched: 4
% 0.71/1.09 full subsumption: 0
% 0.71/1.09
% 0.71/1.09 checksum: 2115095
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------