TSTP Solution File: NUM004-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 06:19:10 EDT 2022
% Result : Unsatisfiable 0.51s 1.15s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Tue Jul 5 22:29:37 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.51/1.15 *** allocated 10000 integers for termspace/termends
% 0.51/1.15 *** allocated 10000 integers for clauses
% 0.51/1.15 *** allocated 10000 integers for justifications
% 0.51/1.15 Bliksem 1.12
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 Automatic Strategy Selection
% 0.51/1.15
% 0.51/1.15 Clauses:
% 0.51/1.15 [
% 0.51/1.15 [ equalish( X, X ) ],
% 0.51/1.15 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 0.51/1.15 [ equalish( add( X, Y ), add( Y, X ) ) ],
% 0.51/1.15 [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.51/1.15 [ equalish( subtract( add( X, Y ), Y ), X ) ],
% 0.51/1.15 [ equalish( X, subtract( add( X, Y ), Y ) ) ],
% 0.51/1.15 [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z ), Y ) ) ]
% 0.51/1.15 ,
% 0.51/1.15 [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z ), Y ) ) ]
% 0.51/1.15 ,
% 0.51/1.15 [ ~( equalish( X, Y ) ), ~( equalish( Z, add( X, T ) ) ), equalish( Z,
% 0.51/1.15 add( Y, T ) ) ],
% 0.51/1.15 [ ~( equalish( X, Y ) ), ~( equalish( Z, add( T, X ) ) ), equalish( Z,
% 0.51/1.15 add( T, Y ) ) ],
% 0.51/1.15 [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( X, T ) ) ), equalish(
% 0.51/1.15 Z, subtract( Y, T ) ) ],
% 0.51/1.15 [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( T, X ) ) ), equalish(
% 0.51/1.15 Z, subtract( T, Y ) ) ],
% 0.51/1.15 [ ~( equalish( subtract( add( a, b ), c ), add( a, subtract( b, c ) ) )
% 0.51/1.15 ) ]
% 0.51/1.15 ] .
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 percentage equality = 0.000000, percentage horn = 1.000000
% 0.51/1.15 This is a near-Horn, non-equality problem
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 Options Used:
% 0.51/1.15
% 0.51/1.15 useres = 1
% 0.51/1.15 useparamod = 0
% 0.51/1.15 useeqrefl = 0
% 0.51/1.15 useeqfact = 0
% 0.51/1.15 usefactor = 1
% 0.51/1.15 usesimpsplitting = 0
% 0.51/1.15 usesimpdemod = 0
% 0.51/1.15 usesimpres = 4
% 0.51/1.15
% 0.51/1.15 resimpinuse = 1000
% 0.51/1.15 resimpclauses = 20000
% 0.51/1.15 substype = standard
% 0.51/1.15 backwardsubs = 1
% 0.51/1.15 selectoldest = 5
% 0.51/1.15
% 0.51/1.15 litorderings [0] = split
% 0.51/1.15 litorderings [1] = liftord
% 0.51/1.15
% 0.51/1.15 termordering = none
% 0.51/1.15
% 0.51/1.15 litapriori = 1
% 0.51/1.15 termapriori = 0
% 0.51/1.15 litaposteriori = 0
% 0.51/1.15 termaposteriori = 0
% 0.51/1.15 demodaposteriori = 0
% 0.51/1.15 ordereqreflfact = 0
% 0.51/1.15
% 0.51/1.15 litselect = negative
% 0.51/1.15
% 0.51/1.15 maxweight = 30000
% 0.51/1.15 maxdepth = 30000
% 0.51/1.15 maxlength = 115
% 0.51/1.15 maxnrvars = 195
% 0.51/1.15 excuselevel = 0
% 0.51/1.15 increasemaxweight = 0
% 0.51/1.15
% 0.51/1.15 maxselected = 10000000
% 0.51/1.15 maxnrclauses = 10000000
% 0.51/1.15
% 0.51/1.15 showgenerated = 0
% 0.51/1.15 showkept = 0
% 0.51/1.15 showselected = 0
% 0.51/1.15 showdeleted = 0
% 0.51/1.15 showresimp = 1
% 0.51/1.15 showstatus = 2000
% 0.51/1.15
% 0.51/1.15 prologoutput = 1
% 0.51/1.15 nrgoals = 5000000
% 0.51/1.15 totalproof = 1
% 0.51/1.15
% 0.51/1.15 Symbols occurring in the translation:
% 0.51/1.15
% 0.51/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.51/1.15 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.51/1.15 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.51/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/1.15 equalish [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.51/1.15 add [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.51/1.15 subtract [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.51/1.15 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.51/1.15 b [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.51/1.15 c [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 Starting Search:
% 0.51/1.15
% 0.51/1.15 Resimplifying inuse:
% 0.51/1.15
% 0.51/1.15 Bliksems!, er is een bewijs:
% 0.51/1.15 % SZS status Unsatisfiable
% 0.51/1.15 % SZS output start Refutation
% 0.51/1.15
% 0.51/1.15 clause( 0, [ equalish( X, X ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 0.51/1.15 ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z ), Y
% 0.51/1.15 ) ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 10, [ ~( equalish( X, Y ) ), equalish( Z, subtract( Y, T ) ), ~(
% 0.51/1.15 equalish( Z, subtract( X, T ) ) ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 12, [ ~( equalish( subtract( add( a, b ), c ), add( a, subtract( b
% 0.51/1.15 , c ) ) ) ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) ) ]
% 0.51/1.15 )
% 0.51/1.15 .
% 0.51/1.15 clause( 24, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X, Z
% 0.51/1.15 ) ) ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.51/1.15 subtract( add( Y, Z ), T ) ) ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 135, [ equalish( subtract( X, Z ), subtract( Y, Z ) ), ~( equalish(
% 0.51/1.15 X, Y ) ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 210, [ equalish( subtract( add( X, Y ), Z ), subtract( add( Y, X )
% 0.51/1.15 , Z ) ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 850, [ equalish( subtract( add( X, Y ), Z ), add( X, subtract( Y, Z
% 0.51/1.15 ) ) ) ] )
% 0.51/1.15 .
% 0.51/1.15 clause( 1000, [] )
% 0.51/1.15 .
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 % SZS output end Refutation
% 0.51/1.15 found a proof!
% 0.51/1.15
% 0.51/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/1.15
% 0.51/1.15 initialclauses(
% 0.51/1.15 [ clause( 1002, [ equalish( X, X ) ] )
% 0.51/1.15 , clause( 1003, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.51/1.15 , Z ) ] )
% 0.51/1.15 , clause( 1004, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.51/1.15 , clause( 1005, [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) )
% 0.51/1.15 ] )
% 0.51/1.15 , clause( 1006, [ equalish( subtract( add( X, Y ), Y ), X ) ] )
% 0.51/1.15 , clause( 1007, [ equalish( X, subtract( add( X, Y ), Y ) ) ] )
% 0.51/1.15 , clause( 1008, [ equalish( add( subtract( X, Y ), Z ), subtract( add( X, Z
% 0.51/1.15 ), Y ) ) ] )
% 0.51/1.15 , clause( 1009, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z
% 0.51/1.15 ), Y ) ) ] )
% 0.51/1.15 , clause( 1010, [ ~( equalish( X, Y ) ), ~( equalish( Z, add( X, T ) ) ),
% 0.51/1.15 equalish( Z, add( Y, T ) ) ] )
% 0.51/1.15 , clause( 1011, [ ~( equalish( X, Y ) ), ~( equalish( Z, add( T, X ) ) ),
% 0.51/1.15 equalish( Z, add( T, Y ) ) ] )
% 0.51/1.15 , clause( 1012, [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( X, T ) )
% 0.51/1.15 ), equalish( Z, subtract( Y, T ) ) ] )
% 0.51/1.15 , clause( 1013, [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( T, X ) )
% 0.51/1.15 ), equalish( Z, subtract( T, Y ) ) ] )
% 0.51/1.15 , clause( 1014, [ ~( equalish( subtract( add( a, b ), c ), add( a, subtract(
% 0.51/1.15 b, c ) ) ) ) ] )
% 0.51/1.15 ] ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 0, [ equalish( X, X ) ] )
% 0.51/1.15 , clause( 1002, [ equalish( X, X ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 0.51/1.15 ] )
% 0.51/1.15 , clause( 1003, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.51/1.15 , Z ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.51/1.15 , clause( 1004, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/1.15 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z ), Y
% 0.51/1.15 ) ) ] )
% 0.51/1.15 , clause( 1009, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z
% 0.51/1.15 ), Y ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 10, [ ~( equalish( X, Y ) ), equalish( Z, subtract( Y, T ) ), ~(
% 0.51/1.15 equalish( Z, subtract( X, T ) ) ) ] )
% 0.51/1.15 , clause( 1012, [ ~( equalish( X, Y ) ), ~( equalish( Z, subtract( X, T ) )
% 0.51/1.15 ), equalish( Z, subtract( Y, T ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 12, [ ~( equalish( subtract( add( a, b ), c ), add( a, subtract( b
% 0.51/1.15 , c ) ) ) ) ] )
% 0.51/1.15 , clause( 1014, [ ~( equalish( subtract( add( a, b ), c ), add( a, subtract(
% 0.51/1.15 b, c ) ) ) ) ] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 1028, [ ~( equalish( X, add( Y, Z ) ) ), equalish( X, add( Z, Y ) )
% 0.51/1.15 ] )
% 0.51/1.15 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.51/1.15 ) ] )
% 0.51/1.15 , 2, clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, add( Y, Z ) ), :=( Z, add( Z, Y
% 0.51/1.15 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) ) ]
% 0.51/1.15 )
% 0.51/1.15 , clause( 1028, [ ~( equalish( X, add( Y, Z ) ) ), equalish( X, add( Z, Y )
% 0.51/1.15 ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 1029, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X,
% 0.51/1.15 Z ) ) ) ] )
% 0.51/1.15 , clause( 19, [ equalish( X, add( Z, Y ) ), ~( equalish( X, add( Y, Z ) ) )
% 0.51/1.15 ] )
% 0.51/1.15 , 1, clause( 7, [ equalish( subtract( add( X, Y ), Z ), add( subtract( X, Z
% 0.51/1.15 ), Y ) ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, subtract( add( X, Y ), Z ) ), :=( Y,
% 0.51/1.15 subtract( X, Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.51/1.15 Y ), :=( Z, Z )] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 24, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X, Z
% 0.51/1.15 ) ) ) ] )
% 0.51/1.15 , clause( 1029, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract( X
% 0.51/1.15 , Z ) ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 1031, [ ~( equalish( X, subtract( add( Y, Z ), T ) ) ), equalish( X
% 0.51/1.15 , add( Z, subtract( Y, T ) ) ) ] )
% 0.51/1.15 , clause( 1, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.51/1.15 ) ] )
% 0.51/1.15 , 2, clause( 24, [ equalish( subtract( add( X, Y ), Z ), add( Y, subtract(
% 0.51/1.15 X, Z ) ) ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, subtract( add( Y, Z ), T ) ),
% 0.51/1.15 :=( Z, add( Z, subtract( Y, T ) ) )] ), substitution( 1, [ :=( X, Y ),
% 0.51/1.15 :=( Y, Z ), :=( Z, T )] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.51/1.15 subtract( add( Y, Z ), T ) ) ) ] )
% 0.51/1.15 , clause( 1031, [ ~( equalish( X, subtract( add( Y, Z ), T ) ) ), equalish(
% 0.51/1.15 X, add( Z, subtract( Y, T ) ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 1033, [ ~( equalish( X, Y ) ), equalish( subtract( X, Z ), subtract(
% 0.51/1.15 Y, Z ) ) ] )
% 0.51/1.15 , clause( 10, [ ~( equalish( X, Y ) ), equalish( Z, subtract( Y, T ) ), ~(
% 0.51/1.15 equalish( Z, subtract( X, T ) ) ) ] )
% 0.51/1.15 , 2, clause( 0, [ equalish( X, X ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, subtract( X, Z ) ),
% 0.51/1.15 :=( T, Z )] ), substitution( 1, [ :=( X, subtract( X, Z ) )] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 135, [ equalish( subtract( X, Z ), subtract( Y, Z ) ), ~( equalish(
% 0.51/1.15 X, Y ) ) ] )
% 0.51/1.15 , clause( 1033, [ ~( equalish( X, Y ) ), equalish( subtract( X, Z ),
% 0.51/1.15 subtract( Y, Z ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 1034, [ equalish( subtract( add( X, Y ), Z ), subtract( add( Y, X )
% 0.51/1.15 , Z ) ) ] )
% 0.51/1.15 , clause( 135, [ equalish( subtract( X, Z ), subtract( Y, Z ) ), ~(
% 0.51/1.15 equalish( X, Y ) ) ] )
% 0.51/1.15 , 1, clause( 2, [ equalish( add( X, Y ), add( Y, X ) ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, add( X, Y ) ), :=( Y, add( Y, X ) ), :=( Z,
% 0.51/1.15 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 210, [ equalish( subtract( add( X, Y ), Z ), subtract( add( Y, X )
% 0.51/1.15 , Z ) ) ] )
% 0.51/1.15 , clause( 1034, [ equalish( subtract( add( X, Y ), Z ), subtract( add( Y, X
% 0.51/1.15 ), Z ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 1035, [ equalish( subtract( add( X, Y ), Z ), add( X, subtract( Y,
% 0.51/1.15 Z ) ) ) ] )
% 0.51/1.15 , clause( 26, [ equalish( X, add( Z, subtract( Y, T ) ) ), ~( equalish( X,
% 0.51/1.15 subtract( add( Y, Z ), T ) ) ) ] )
% 0.51/1.15 , 1, clause( 210, [ equalish( subtract( add( X, Y ), Z ), subtract( add( Y
% 0.51/1.15 , X ), Z ) ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, subtract( add( X, Y ), Z ) ), :=( Y, Y ),
% 0.51/1.15 :=( Z, X ), :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.51/1.15 :=( Z, Z )] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 850, [ equalish( subtract( add( X, Y ), Z ), add( X, subtract( Y, Z
% 0.51/1.15 ) ) ) ] )
% 0.51/1.15 , clause( 1035, [ equalish( subtract( add( X, Y ), Z ), add( X, subtract( Y
% 0.51/1.15 , Z ) ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 1036, [] )
% 0.51/1.15 , clause( 12, [ ~( equalish( subtract( add( a, b ), c ), add( a, subtract(
% 0.51/1.15 b, c ) ) ) ) ] )
% 0.51/1.15 , 0, clause( 850, [ equalish( subtract( add( X, Y ), Z ), add( X, subtract(
% 0.51/1.15 Y, Z ) ) ) ] )
% 0.51/1.15 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.51/1.15 Z, c )] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 1000, [] )
% 0.51/1.15 , clause( 1036, [] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 end.
% 0.51/1.15
% 0.51/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/1.15
% 0.51/1.15 Memory use:
% 0.51/1.15
% 0.51/1.15 space for terms: 13736
% 0.51/1.15 space for clauses: 76763
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 clauses generated: 1282
% 0.51/1.15 clauses kept: 1001
% 0.51/1.15 clauses selected: 95
% 0.51/1.15 clauses deleted: 2
% 0.51/1.15 clauses inuse deleted: 1
% 0.51/1.15
% 0.51/1.15 subsentry: 843
% 0.51/1.15 literals s-matched: 498
% 0.51/1.15 literals matched: 480
% 0.51/1.15 full subsumption: 22
% 0.51/1.15
% 0.51/1.15 checksum: 1352548379
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 Bliksem ended
%------------------------------------------------------------------------------