TSTP Solution File: SET047-5 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 22:46:07 EDT 2022
% Result : Unsatisfiable 0.42s 1.04s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.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 : Sun Jul 10 00:35:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.04 *** allocated 10000 integers for termspace/termends
% 0.42/1.04 *** allocated 10000 integers for clauses
% 0.42/1.04 *** allocated 10000 integers for justifications
% 0.42/1.04 Bliksem 1.12
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 Automatic Strategy Selection
% 0.42/1.04
% 0.42/1.04 Clauses:
% 0.42/1.04 [
% 0.42/1.04 [ ~( 'set_equal'( X, Y ) ), ~( element( Z, X ) ), element( Z, Y ) ],
% 0.42/1.04 [ ~( 'set_equal'( X, Y ) ), ~( element( Z, Y ) ), element( Z, X ) ],
% 0.42/1.04 [ element( f( X, Y ), X ), element( f( X, Y ), Y ), 'set_equal'( X, Y )
% 0.42/1.04 ],
% 0.42/1.04 [ ~( element( f( X, Y ), Y ) ), ~( element( f( X, Y ), X ) ),
% 0.42/1.04 'set_equal'( X, Y ) ],
% 0.42/1.04 [ 'set_equal'( a, b ), 'set_equal'( b, a ) ],
% 0.42/1.04 [ ~( 'set_equal'( b, a ) ), ~( 'set_equal'( a, b ) ) ]
% 0.42/1.04 ] .
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 percentage equality = 0.000000, percentage horn = 0.666667
% 0.42/1.04 This a non-horn, non-equality problem
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 Options Used:
% 0.42/1.04
% 0.42/1.04 useres = 1
% 0.42/1.04 useparamod = 0
% 0.42/1.04 useeqrefl = 0
% 0.42/1.04 useeqfact = 0
% 0.42/1.04 usefactor = 1
% 0.42/1.04 usesimpsplitting = 0
% 0.42/1.04 usesimpdemod = 0
% 0.42/1.04 usesimpres = 3
% 0.42/1.04
% 0.42/1.04 resimpinuse = 1000
% 0.42/1.04 resimpclauses = 20000
% 0.42/1.04 substype = standard
% 0.42/1.04 backwardsubs = 1
% 0.42/1.04 selectoldest = 5
% 0.42/1.04
% 0.42/1.04 litorderings [0] = split
% 0.42/1.04 litorderings [1] = liftord
% 0.42/1.04
% 0.42/1.04 termordering = none
% 0.42/1.04
% 0.42/1.04 litapriori = 1
% 0.42/1.04 termapriori = 0
% 0.42/1.04 litaposteriori = 0
% 0.42/1.04 termaposteriori = 0
% 0.42/1.04 demodaposteriori = 0
% 0.42/1.04 ordereqreflfact = 0
% 0.42/1.04
% 0.42/1.04 litselect = none
% 0.42/1.04
% 0.42/1.04 maxweight = 15
% 0.42/1.04 maxdepth = 30000
% 0.42/1.04 maxlength = 115
% 0.42/1.04 maxnrvars = 195
% 0.42/1.04 excuselevel = 1
% 0.42/1.04 increasemaxweight = 1
% 0.42/1.04
% 0.42/1.04 maxselected = 10000000
% 0.42/1.04 maxnrclauses = 10000000
% 0.42/1.04
% 0.42/1.04 showgenerated = 0
% 0.42/1.04 showkept = 0
% 0.42/1.04 showselected = 0
% 0.42/1.04 showdeleted = 0
% 0.42/1.04 showresimp = 1
% 0.42/1.04 showstatus = 2000
% 0.42/1.04
% 0.42/1.04 prologoutput = 1
% 0.42/1.04 nrgoals = 5000000
% 0.42/1.04 totalproof = 1
% 0.42/1.04
% 0.42/1.04 Symbols occurring in the translation:
% 0.42/1.04
% 0.42/1.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.04 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.04 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.42/1.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.04 'set_equal' [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.42/1.04 element [43, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.42/1.04 f [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.04 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.04 b [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 Starting Search:
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 Bliksems!, er is een bewijs:
% 0.42/1.04 % SZS status Unsatisfiable
% 0.42/1.04 % SZS output start Refutation
% 0.42/1.04
% 0.42/1.04 clause( 0, [ ~( 'set_equal'( X, Y ) ), element( Z, Y ), ~( element( Z, X )
% 0.42/1.04 ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 1, [ ~( 'set_equal'( X, Y ) ), element( Z, X ), ~( element( Z, Y )
% 0.42/1.04 ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 2, [ 'set_equal'( X, Y ), element( f( X, Y ), X ), element( f( X, Y
% 0.42/1.04 ), Y ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 3, [ 'set_equal'( X, Y ), ~( element( f( X, Y ), Y ) ), ~( element(
% 0.42/1.04 f( X, Y ), X ) ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 4, [ 'set_equal'( b, a ), 'set_equal'( a, b ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 5, [ ~( 'set_equal'( b, a ) ), ~( 'set_equal'( a, b ) ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 21, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, Z ) ), element( f( X
% 0.42/1.04 , Y ), Z ), element( f( X, Y ), X ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 22, [ 'set_equal'( X, Y ), ~( 'set_equal'( Z, X ) ), element( f( X
% 0.42/1.04 , Y ), Z ), element( f( X, Y ), Y ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 24, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element( f( X
% 0.42/1.04 , Y ), Y ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 25, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element( f( X
% 0.42/1.04 , Y ), X ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 30, [ ~( 'set_equal'( Y, X ) ), 'set_equal'( X, Y ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 35, [ 'set_equal'( b, a ) ] )
% 0.42/1.04 .
% 0.42/1.04 clause( 36, [] )
% 0.42/1.04 .
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 % SZS output end Refutation
% 0.42/1.04 found a proof!
% 0.42/1.04
% 0.42/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.04
% 0.42/1.04 initialclauses(
% 0.42/1.04 [ clause( 38, [ ~( 'set_equal'( X, Y ) ), ~( element( Z, X ) ), element( Z
% 0.42/1.04 , Y ) ] )
% 0.42/1.04 , clause( 39, [ ~( 'set_equal'( X, Y ) ), ~( element( Z, Y ) ), element( Z
% 0.42/1.04 , X ) ] )
% 0.42/1.04 , clause( 40, [ element( f( X, Y ), X ), element( f( X, Y ), Y ),
% 0.42/1.04 'set_equal'( X, Y ) ] )
% 0.42/1.04 , clause( 41, [ ~( element( f( X, Y ), Y ) ), ~( element( f( X, Y ), X ) )
% 0.42/1.04 , 'set_equal'( X, Y ) ] )
% 0.42/1.04 , clause( 42, [ 'set_equal'( a, b ), 'set_equal'( b, a ) ] )
% 0.42/1.04 , clause( 43, [ ~( 'set_equal'( b, a ) ), ~( 'set_equal'( a, b ) ) ] )
% 0.42/1.04 ] ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 0, [ ~( 'set_equal'( X, Y ) ), element( Z, Y ), ~( element( Z, X )
% 0.42/1.04 ) ] )
% 0.42/1.04 , clause( 38, [ ~( 'set_equal'( X, Y ) ), ~( element( Z, X ) ), element( Z
% 0.42/1.04 , Y ) ] )
% 0.42/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.04 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 1, [ ~( 'set_equal'( X, Y ) ), element( Z, X ), ~( element( Z, Y )
% 0.42/1.04 ) ] )
% 0.42/1.04 , clause( 39, [ ~( 'set_equal'( X, Y ) ), ~( element( Z, Y ) ), element( Z
% 0.42/1.04 , X ) ] )
% 0.42/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.04 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 2, [ 'set_equal'( X, Y ), element( f( X, Y ), X ), element( f( X, Y
% 0.42/1.04 ), Y ) ] )
% 0.42/1.04 , clause( 40, [ element( f( X, Y ), X ), element( f( X, Y ), Y ),
% 0.42/1.04 'set_equal'( X, Y ) ] )
% 0.42/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.42/1.04 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 3, [ 'set_equal'( X, Y ), ~( element( f( X, Y ), Y ) ), ~( element(
% 0.42/1.04 f( X, Y ), X ) ) ] )
% 0.42/1.04 , clause( 41, [ ~( element( f( X, Y ), Y ) ), ~( element( f( X, Y ), X ) )
% 0.42/1.04 , 'set_equal'( X, Y ) ] )
% 0.42/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.42/1.04 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 4, [ 'set_equal'( b, a ), 'set_equal'( a, b ) ] )
% 0.42/1.04 , clause( 42, [ 'set_equal'( a, b ), 'set_equal'( b, a ) ] )
% 0.42/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.04 ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 5, [ ~( 'set_equal'( b, a ) ), ~( 'set_equal'( a, b ) ) ] )
% 0.42/1.04 , clause( 43, [ ~( 'set_equal'( b, a ) ), ~( 'set_equal'( a, b ) ) ] )
% 0.42/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.04 ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 resolution(
% 0.42/1.04 clause( 53, [ ~( 'set_equal'( X, Y ) ), element( f( Z, X ), Y ),
% 0.42/1.04 'set_equal'( Z, X ), element( f( Z, X ), Z ) ] )
% 0.42/1.04 , clause( 0, [ ~( 'set_equal'( X, Y ) ), element( Z, Y ), ~( element( Z, X
% 0.42/1.04 ) ) ] )
% 0.42/1.04 , 2, clause( 2, [ 'set_equal'( X, Y ), element( f( X, Y ), X ), element( f(
% 0.42/1.04 X, Y ), Y ) ] )
% 0.42/1.04 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, f( Z, X ) )] ),
% 0.42/1.04 substitution( 1, [ :=( X, Z ), :=( Y, X )] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 21, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, Z ) ), element( f( X
% 0.42/1.04 , Y ), Z ), element( f( X, Y ), X ) ] )
% 0.42/1.04 , clause( 53, [ ~( 'set_equal'( X, Y ) ), element( f( Z, X ), Y ),
% 0.42/1.04 'set_equal'( Z, X ), element( f( Z, X ), Z ) ] )
% 0.42/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.04 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] )
% 0.42/1.04 ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 resolution(
% 0.42/1.04 clause( 61, [ ~( 'set_equal'( X, Y ) ), element( f( Y, Z ), X ),
% 0.42/1.04 'set_equal'( Y, Z ), element( f( Y, Z ), Z ) ] )
% 0.42/1.04 , clause( 1, [ ~( 'set_equal'( X, Y ) ), element( Z, X ), ~( element( Z, Y
% 0.42/1.04 ) ) ] )
% 0.42/1.04 , 2, clause( 2, [ 'set_equal'( X, Y ), element( f( X, Y ), X ), element( f(
% 0.42/1.04 X, Y ), Y ) ] )
% 0.42/1.04 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, f( Y, Z ) )] ),
% 0.42/1.04 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 22, [ 'set_equal'( X, Y ), ~( 'set_equal'( Z, X ) ), element( f( X
% 0.42/1.04 , Y ), Z ), element( f( X, Y ), Y ) ] )
% 0.42/1.04 , clause( 61, [ ~( 'set_equal'( X, Y ) ), element( f( Y, Z ), X ),
% 0.42/1.04 'set_equal'( Y, Z ), element( f( Y, Z ), Z ) ] )
% 0.42/1.04 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.04 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] )
% 0.42/1.04 ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 factor(
% 0.42/1.04 clause( 68, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element( f( X
% 0.42/1.04 , Y ), Y ) ] )
% 0.42/1.04 , clause( 22, [ 'set_equal'( X, Y ), ~( 'set_equal'( Z, X ) ), element( f(
% 0.42/1.04 X, Y ), Z ), element( f( X, Y ), Y ) ] )
% 0.42/1.04 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 24, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element( f( X
% 0.42/1.04 , Y ), Y ) ] )
% 0.42/1.04 , clause( 68, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element( f(
% 0.42/1.04 X, Y ), Y ) ] )
% 0.42/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.04 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 factor(
% 0.42/1.04 clause( 69, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element( f( X
% 0.42/1.04 , Y ), X ) ] )
% 0.42/1.04 , clause( 21, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, Z ) ), element( f(
% 0.42/1.04 X, Y ), Z ), element( f( X, Y ), X ) ] )
% 0.42/1.04 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 25, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element( f( X
% 0.42/1.04 , Y ), X ) ] )
% 0.42/1.04 , clause( 69, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element( f(
% 0.42/1.04 X, Y ), X ) ] )
% 0.42/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.04 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 resolution(
% 0.42/1.04 clause( 70, [ 'set_equal'( X, Y ), ~( element( f( X, Y ), X ) ),
% 0.42/1.04 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ) ] )
% 0.42/1.04 , clause( 3, [ 'set_equal'( X, Y ), ~( element( f( X, Y ), Y ) ), ~(
% 0.42/1.04 element( f( X, Y ), X ) ) ] )
% 0.42/1.04 , 1, clause( 24, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element(
% 0.42/1.04 f( X, Y ), Y ) ] )
% 0.42/1.04 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.42/1.04 , X ), :=( Y, Y )] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 resolution(
% 0.42/1.04 clause( 72, [ 'set_equal'( X, Y ), 'set_equal'( X, Y ), ~( 'set_equal'( Y,
% 0.42/1.04 X ) ), 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ) ] )
% 0.42/1.04 , clause( 70, [ 'set_equal'( X, Y ), ~( element( f( X, Y ), X ) ),
% 0.42/1.04 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ) ] )
% 0.42/1.04 , 1, clause( 25, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), element(
% 0.42/1.04 f( X, Y ), X ) ] )
% 0.42/1.04 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.42/1.04 , X ), :=( Y, Y )] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 factor(
% 0.42/1.04 clause( 74, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), 'set_equal'( X
% 0.42/1.04 , Y ), ~( 'set_equal'( Y, X ) ) ] )
% 0.42/1.04 , clause( 72, [ 'set_equal'( X, Y ), 'set_equal'( X, Y ), ~( 'set_equal'( Y
% 0.42/1.04 , X ) ), 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ) ] )
% 0.42/1.04 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 factor(
% 0.42/1.04 clause( 75, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), ~( 'set_equal'(
% 0.42/1.04 Y, X ) ) ] )
% 0.42/1.04 , clause( 74, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), 'set_equal'(
% 0.42/1.04 X, Y ), ~( 'set_equal'( Y, X ) ) ] )
% 0.42/1.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 factor(
% 0.42/1.04 clause( 76, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ) ] )
% 0.42/1.04 , clause( 75, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ), ~(
% 0.42/1.04 'set_equal'( Y, X ) ) ] )
% 0.42/1.04 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 30, [ ~( 'set_equal'( Y, X ) ), 'set_equal'( X, Y ) ] )
% 0.42/1.04 , clause( 76, [ 'set_equal'( X, Y ), ~( 'set_equal'( Y, X ) ) ] )
% 0.42/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.42/1.04 ), ==>( 1, 0 )] ) ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 resolution(
% 0.42/1.04 clause( 79, [ 'set_equal'( b, a ), 'set_equal'( b, a ) ] )
% 0.42/1.04 , clause( 30, [ ~( 'set_equal'( Y, X ) ), 'set_equal'( X, Y ) ] )
% 0.42/1.04 , 0, clause( 4, [ 'set_equal'( b, a ), 'set_equal'( a, b ) ] )
% 0.42/1.04 , 1, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.42/1.04 ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 factor(
% 0.42/1.04 clause( 80, [ 'set_equal'( b, a ) ] )
% 0.42/1.04 , clause( 79, [ 'set_equal'( b, a ), 'set_equal'( b, a ) ] )
% 0.42/1.04 , 0, 1, substitution( 0, [] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 35, [ 'set_equal'( b, a ) ] )
% 0.42/1.04 , clause( 80, [ 'set_equal'( b, a ) ] )
% 0.42/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 resolution(
% 0.42/1.04 clause( 83, [ ~( 'set_equal'( b, a ) ), ~( 'set_equal'( b, a ) ) ] )
% 0.42/1.04 , clause( 5, [ ~( 'set_equal'( b, a ) ), ~( 'set_equal'( a, b ) ) ] )
% 0.42/1.04 , 1, clause( 30, [ ~( 'set_equal'( Y, X ) ), 'set_equal'( X, Y ) ] )
% 0.42/1.04 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.42/1.04 ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 factor(
% 0.42/1.04 clause( 84, [ ~( 'set_equal'( b, a ) ) ] )
% 0.42/1.04 , clause( 83, [ ~( 'set_equal'( b, a ) ), ~( 'set_equal'( b, a ) ) ] )
% 0.42/1.04 , 0, 1, substitution( 0, [] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 resolution(
% 0.42/1.04 clause( 87, [] )
% 0.42/1.04 , clause( 84, [ ~( 'set_equal'( b, a ) ) ] )
% 0.42/1.04 , 0, clause( 35, [ 'set_equal'( b, a ) ] )
% 0.42/1.04 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 subsumption(
% 0.42/1.04 clause( 36, [] )
% 0.42/1.04 , clause( 87, [] )
% 0.42/1.04 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 end.
% 0.42/1.04
% 0.42/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.04
% 0.42/1.04 Memory use:
% 0.42/1.04
% 0.42/1.04 space for terms: 708
% 0.42/1.04 space for clauses: 1548
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 clauses generated: 139
% 0.42/1.04 clauses kept: 37
% 0.42/1.04 clauses selected: 14
% 0.42/1.04 clauses deleted: 1
% 0.42/1.04 clauses inuse deleted: 0
% 0.42/1.04
% 0.42/1.04 subsentry: 538
% 0.42/1.04 literals s-matched: 465
% 0.42/1.04 literals matched: 456
% 0.42/1.04 full subsumption: 409
% 0.42/1.04
% 0.42/1.04 checksum: 690028
% 0.42/1.04
% 0.42/1.04
% 0.42/1.04 Bliksem ended
%------------------------------------------------------------------------------