TSTP Solution File: SYN353-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 02:49:58 EDT 2022
% Result : Unsatisfiable 0.68s 1.12s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.32 % Computer : n028.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % DateTime : Tue Jul 12 02:19:59 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.68/1.12 *** allocated 10000 integers for termspace/termends
% 0.68/1.12 *** allocated 10000 integers for clauses
% 0.68/1.12 *** allocated 10000 integers for justifications
% 0.68/1.12 Bliksem 1.12
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Automatic Strategy Selection
% 0.68/1.12
% 0.68/1.12 Clauses:
% 0.68/1.12 [
% 0.68/1.12 [ ~( f( X, Y, Z ) ), ~( f( a, a, z( X, Y, Z ) ) ), f( Y, Z, X ), f( Z, X
% 0.68/1.12 , Y ) ],
% 0.68/1.12 [ ~( f( X, Y, Z ) ), f( Y, Z, X ), ~( f( Z, Y, z( Y, Z, X ) ) ) ],
% 0.68/1.12 [ ~( f( X, Y, Z ) ), f( Z, X, Y ), ~( f( Z, Y, z( Y, Z, X ) ) ) ],
% 0.68/1.12 [ f( X, Y, Z ), f( Z, Y, z( Y, Z, X ) ) ],
% 0.68/1.12 [ ~( f( X, Y, Z ) ), ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ) ],
% 0.68/1.12 [ ~( f( X, Y, Z ) ), f( Z, X, Y ), ~( f( Z, z( Z, X, Y ), X ) ) ],
% 0.68/1.12 [ ~( f( X, Y, Z ) ), f( Y, Z, X ), ~( f( Z, z( Z, X, Y ), X ) ) ],
% 0.68/1.12 [ f( X, Y, Z ), f( Z, z( Z, X, Y ), X ) ],
% 0.68/1.12 [ ~( f( X, Y, Z ) ), ~( f( Z, X, Y ) ), f( X, z( X, Y, Z ), Y ) ],
% 0.68/1.12 [ f( X, Y, Z ), f( Y, Z, X ), ~( f( z( Y, Z, X ), Z, Y ) ) ],
% 0.68/1.12 [ f( X, Y, Z ), f( Z, X, Y ), ~( f( z( Z, X, Y ), X, Z ) ) ],
% 0.68/1.12 [ ~( f( X, Y, Z ) ), ~( f( Z, X, Y ) ), f( z( Y, Z, X ), Z, Y ) ],
% 0.68/1.12 [ ~( f( X, Y, Z ) ), f( z( X, Y, Z ), Y, X ) ],
% 0.68/1.12 [ f( X, Y, Z ), f( z( X, Y, Z ), z( X, Y, Z ), z( X, Y, Z ) ) ],
% 0.68/1.12 [ f( X, Y, Z ), f( z( Z, X, Y ), z( Z, X, Y ), z( Z, X, Y ) ) ],
% 0.68/1.12 [ f( X, Y, Z ), f( z( Y, Z, X ), z( Y, Z, X ), z( Y, Z, X ) ) ],
% 0.68/1.12 [ ~( f( X, Y, Z ) ), ~( f( Y, Z, X ) ), ~( f( Z, X, Y ) ), ~( f( z( X, Y
% 0.68/1.12 , Z ), z( X, Y, Z ), z( X, Y, Z ) ) ) ]
% 0.68/1.12 ] .
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 percentage equality = 0.000000, percentage horn = 0.529412
% 0.68/1.12 This a non-horn, non-equality problem
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Options Used:
% 0.68/1.12
% 0.68/1.12 useres = 1
% 0.68/1.12 useparamod = 0
% 0.68/1.12 useeqrefl = 0
% 0.68/1.12 useeqfact = 0
% 0.68/1.12 usefactor = 1
% 0.68/1.12 usesimpsplitting = 0
% 0.68/1.12 usesimpdemod = 0
% 0.68/1.12 usesimpres = 3
% 0.68/1.12
% 0.68/1.12 resimpinuse = 1000
% 0.68/1.12 resimpclauses = 20000
% 0.68/1.12 substype = standard
% 0.68/1.12 backwardsubs = 1
% 0.68/1.12 selectoldest = 5
% 0.68/1.12
% 0.68/1.12 litorderings [0] = split
% 0.68/1.12 litorderings [1] = liftord
% 0.68/1.12
% 0.68/1.12 termordering = none
% 0.68/1.12
% 0.68/1.12 litapriori = 1
% 0.68/1.12 termapriori = 0
% 0.68/1.12 litaposteriori = 0
% 0.68/1.12 termaposteriori = 0
% 0.68/1.12 demodaposteriori = 0
% 0.68/1.12 ordereqreflfact = 0
% 0.68/1.12
% 0.68/1.12 litselect = none
% 0.68/1.12
% 0.68/1.12 maxweight = 15
% 0.68/1.12 maxdepth = 30000
% 0.68/1.12 maxlength = 115
% 0.68/1.12 maxnrvars = 195
% 0.68/1.12 excuselevel = 1
% 0.68/1.12 increasemaxweight = 1
% 0.68/1.12
% 0.68/1.12 maxselected = 10000000
% 0.68/1.12 maxnrclauses = 10000000
% 0.68/1.12
% 0.68/1.12 showgenerated = 0
% 0.68/1.12 showkept = 0
% 0.68/1.12 showselected = 0
% 0.68/1.12 showdeleted = 0
% 0.68/1.12 showresimp = 1
% 0.68/1.12 showstatus = 2000
% 0.68/1.12
% 0.68/1.12 prologoutput = 1
% 0.68/1.12 nrgoals = 5000000
% 0.68/1.12 totalproof = 1
% 0.68/1.12
% 0.68/1.12 Symbols occurring in the translation:
% 0.68/1.12
% 0.68/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.12 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 0.68/1.12 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.68/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.12 f [42, 3] (w:1, o:43, a:1, s:1, b:0),
% 0.68/1.12 a [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.68/1.12 z [44, 3] (w:1, o:44, a:1, s:1, b:0).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Starting Search:
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Bliksems!, er is een bewijs:
% 0.68/1.12 % SZS status Unsatisfiable
% 0.68/1.12 % SZS output start Refutation
% 0.68/1.12
% 0.68/1.12 clause( 0, [ ~( f( a, a, z( X, Y, Z ) ) ), f( Y, Z, X ), f( Z, X, Y ), ~( f(
% 0.68/1.12 X, Y, Z ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 1, [ f( Y, Z, X ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 2, [ f( Z, X, Y ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 3, [ f( Z, Y, z( Y, Z, X ) ), f( X, Y, Z ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 4, [ ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 5, [ f( Z, X, Y ), ~( f( Z, z( Z, X, Y ), X ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 6, [ f( Y, Z, X ), ~( f( Z, z( Z, X, Y ), X ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 7, [ f( Z, z( Z, X, Y ), X ), f( X, Y, Z ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 8, [ ~( f( Z, X, Y ) ), f( X, z( X, Y, Z ), Y ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 9, [ f( Y, Z, X ), ~( f( z( Y, Z, X ), Z, Y ) ), f( X, Y, Z ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 10, [ f( Z, X, Y ), ~( f( z( Z, X, Y ), X, Z ) ), f( X, Y, Z ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 11, [ ~( f( Z, X, Y ) ), f( z( Y, Z, X ), Z, Y ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 12, [ f( z( X, Y, Z ), Y, X ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 16, [ ~( f( Y, Z, X ) ), ~( f( Z, X, Y ) ), ~( f( z( X, Y, Z ), z(
% 0.68/1.12 X, Y, Z ), z( X, Y, Z ) ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 20, [ ~( f( z( X, X, X ), z( X, X, X ), z( X, X, X ) ) ), ~( f( X,
% 0.68/1.12 X, X ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 32, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ), ~( f( a, a, z( X
% 0.68/1.12 , Y, Z ) ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 34, [ f( a, X, a ), ~( f( a, a, X ) ), f( X, a, a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 38, [ f( z( Z, Y, z( Y, Z, X ) ), Y, Z ), f( X, Y, Z ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 103, [ ~( f( Z, X, Y ) ), f( X, z( X, Y, Z ), Y ), f( z( X, Y, Z )
% 0.68/1.12 , Y, X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 114, [ ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ), ~( f( X, z( X, Y
% 0.68/1.12 , Z ), Y ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 144, [ f( a, X, a ), f( X, a, a ), ~( f( z( a, a, X ), a, a ) ) ]
% 0.68/1.12 )
% 0.68/1.12 .
% 0.68/1.12 clause( 184, [ f( Y, z( Y, Z, X ), Z ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f(
% 0.68/1.12 X, Y, Z ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 245, [ f( z( a, a, X ), a, a ), f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 248, [ ~( f( a, X, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 250, [ f( a, a, X ), f( X, a, a ), ~( f( a, X, a ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 252, [ f( z( a, a, X ), a, a ), f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 260, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ]
% 0.68/1.12 )
% 0.68/1.12 .
% 0.68/1.12 clause( 304, [ ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 310, [ f( a, a, X ), f( a, X, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 314, [ ~( f( X, a, a ) ), f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 320, [ ~( f( X, a, a ) ), f( a, a, X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 324, [ f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 331, [ ~( f( X, a, a ) ), f( a, X, a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 333, [ f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 338, [ ~( f( a, X, a ) ), f( X, a, a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 339, [ f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 346, [ f( X, a, a ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 349, [ f( a, a, X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 355, [ f( Y, Z, X ), ~( f( Z, X, Y ) ), f( X, Y, Z ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 385, [ f( z( Z, X, Y ), X, Z ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 390, [ ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 394, [ f( Z, X, Y ), ~( f( z( Y, Z, X ), Z, Y ) ), f( X, Y, Z ) ]
% 0.68/1.12 )
% 0.68/1.12 .
% 0.68/1.12 clause( 402, [ ~( f( Y, Z, X ) ), f( X, Y, Z ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 405, [ f( X, Z, Y ), f( z( Y, X, Z ), X, Y ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 409, [ f( X, X, X ) ] )
% 0.68/1.12 .
% 0.68/1.12 clause( 410, [] )
% 0.68/1.12 .
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 % SZS output end Refutation
% 0.68/1.12 found a proof!
% 0.68/1.12
% 0.68/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.12
% 0.68/1.12 initialclauses(
% 0.68/1.12 [ clause( 412, [ ~( f( X, Y, Z ) ), ~( f( a, a, z( X, Y, Z ) ) ), f( Y, Z,
% 0.68/1.12 X ), f( Z, X, Y ) ] )
% 0.68/1.12 , clause( 413, [ ~( f( X, Y, Z ) ), f( Y, Z, X ), ~( f( Z, Y, z( Y, Z, X )
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , clause( 414, [ ~( f( X, Y, Z ) ), f( Z, X, Y ), ~( f( Z, Y, z( Y, Z, X )
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , clause( 415, [ f( X, Y, Z ), f( Z, Y, z( Y, Z, X ) ) ] )
% 0.68/1.12 , clause( 416, [ ~( f( X, Y, Z ) ), ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , clause( 417, [ ~( f( X, Y, Z ) ), f( Z, X, Y ), ~( f( Z, z( Z, X, Y ), X
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , clause( 418, [ ~( f( X, Y, Z ) ), f( Y, Z, X ), ~( f( Z, z( Z, X, Y ), X
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , clause( 419, [ f( X, Y, Z ), f( Z, z( Z, X, Y ), X ) ] )
% 0.68/1.12 , clause( 420, [ ~( f( X, Y, Z ) ), ~( f( Z, X, Y ) ), f( X, z( X, Y, Z ),
% 0.68/1.12 Y ) ] )
% 0.68/1.12 , clause( 421, [ f( X, Y, Z ), f( Y, Z, X ), ~( f( z( Y, Z, X ), Z, Y ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 422, [ f( X, Y, Z ), f( Z, X, Y ), ~( f( z( Z, X, Y ), X, Z ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 423, [ ~( f( X, Y, Z ) ), ~( f( Z, X, Y ) ), f( z( Y, Z, X ), Z,
% 0.68/1.12 Y ) ] )
% 0.68/1.12 , clause( 424, [ ~( f( X, Y, Z ) ), f( z( X, Y, Z ), Y, X ) ] )
% 0.68/1.12 , clause( 425, [ f( X, Y, Z ), f( z( X, Y, Z ), z( X, Y, Z ), z( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 426, [ f( X, Y, Z ), f( z( Z, X, Y ), z( Z, X, Y ), z( Z, X, Y )
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 427, [ f( X, Y, Z ), f( z( Y, Z, X ), z( Y, Z, X ), z( Y, Z, X )
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 428, [ ~( f( X, Y, Z ) ), ~( f( Y, Z, X ) ), ~( f( Z, X, Y ) ),
% 0.68/1.12 ~( f( z( X, Y, Z ), z( X, Y, Z ), z( X, Y, Z ) ) ) ] )
% 0.68/1.12 ] ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 0, [ ~( f( a, a, z( X, Y, Z ) ) ), f( Y, Z, X ), f( Z, X, Y ), ~( f(
% 0.68/1.12 X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 412, [ ~( f( X, Y, Z ) ), ~( f( a, a, z( X, Y, Z ) ) ), f( Y, Z,
% 0.68/1.12 X ), f( Z, X, Y ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.68/1.12 ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 1, [ f( Y, Z, X ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 , clause( 413, [ ~( f( X, Y, Z ) ), f( Y, Z, X ), ~( f( Z, Y, z( Y, Z, X )
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 2, [ f( Z, X, Y ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 , clause( 414, [ ~( f( X, Y, Z ) ), f( Z, X, Y ), ~( f( Z, Y, z( Y, Z, X )
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 3, [ f( Z, Y, z( Y, Z, X ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , clause( 415, [ f( X, Y, Z ), f( Z, Y, z( Y, Z, X ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 4, [ ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 , clause( 416, [ ~( f( X, Y, Z ) ), ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 5, [ f( Z, X, Y ), ~( f( Z, z( Z, X, Y ), X ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 , clause( 417, [ ~( f( X, Y, Z ) ), f( Z, X, Y ), ~( f( Z, z( Z, X, Y ), X
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 6, [ f( Y, Z, X ), ~( f( Z, z( Z, X, Y ), X ) ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 , clause( 418, [ ~( f( X, Y, Z ) ), f( Y, Z, X ), ~( f( Z, z( Z, X, Y ), X
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 7, [ f( Z, z( Z, X, Y ), X ), f( X, Y, Z ) ] )
% 0.68/1.12 , clause( 419, [ f( X, Y, Z ), f( Z, z( Z, X, Y ), X ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 8, [ ~( f( Z, X, Y ) ), f( X, z( X, Y, Z ), Y ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 , clause( 420, [ ~( f( X, Y, Z ) ), ~( f( Z, X, Y ) ), f( X, z( X, Y, Z ),
% 0.68/1.12 Y ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 9, [ f( Y, Z, X ), ~( f( z( Y, Z, X ), Z, Y ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , clause( 421, [ f( X, Y, Z ), f( Y, Z, X ), ~( f( z( Y, Z, X ), Z, Y ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 10, [ f( Z, X, Y ), ~( f( z( Z, X, Y ), X, Z ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , clause( 422, [ f( X, Y, Z ), f( Z, X, Y ), ~( f( z( Z, X, Y ), X, Z ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 11, [ ~( f( Z, X, Y ) ), f( z( Y, Z, X ), Z, Y ), ~( f( X, Y, Z ) )
% 0.68/1.12 ] )
% 0.68/1.12 , clause( 423, [ ~( f( X, Y, Z ) ), ~( f( Z, X, Y ) ), f( z( Y, Z, X ), Z,
% 0.68/1.12 Y ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 12, [ f( z( X, Y, Z ), Y, X ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 424, [ ~( f( X, Y, Z ) ), f( z( X, Y, Z ), Y, X ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 16, [ ~( f( Y, Z, X ) ), ~( f( Z, X, Y ) ), ~( f( z( X, Y, Z ), z(
% 0.68/1.12 X, Y, Z ), z( X, Y, Z ) ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 428, [ ~( f( X, Y, Z ) ), ~( f( Y, Z, X ) ), ~( f( Z, X, Y ) ),
% 0.68/1.12 ~( f( z( X, Y, Z ), z( X, Y, Z ), z( X, Y, Z ) ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.68/1.12 ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 473, [ ~( f( X, X, X ) ), ~( f( z( X, X, X ), z( X, X, X ), z( X, X
% 0.68/1.12 , X ) ) ), ~( f( X, X, X ) ) ] )
% 0.68/1.12 , clause( 16, [ ~( f( Y, Z, X ) ), ~( f( Z, X, Y ) ), ~( f( z( X, Y, Z ), z(
% 0.68/1.12 X, Y, Z ), z( X, Y, Z ) ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 474, [ ~( f( X, X, X ) ), ~( f( z( X, X, X ), z( X, X, X ), z( X, X
% 0.68/1.12 , X ) ) ) ] )
% 0.68/1.12 , clause( 473, [ ~( f( X, X, X ) ), ~( f( z( X, X, X ), z( X, X, X ), z( X
% 0.68/1.12 , X, X ) ) ), ~( f( X, X, X ) ) ] )
% 0.68/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 20, [ ~( f( z( X, X, X ), z( X, X, X ), z( X, X, X ) ) ), ~( f( X,
% 0.68/1.12 X, X ) ) ] )
% 0.68/1.12 , clause( 474, [ ~( f( X, X, X ) ), ~( f( z( X, X, X ), z( X, X, X ), z( X
% 0.68/1.12 , X, X ) ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.12 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 481, [ f( z( X, Y, Z ), Y, X ), ~( f( a, a, z( Y, Z, X ) ) ), f( Z
% 0.68/1.12 , X, Y ), ~( f( Y, Z, X ) ) ] )
% 0.68/1.12 , clause( 12, [ f( z( X, Y, Z ), Y, X ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 1, clause( 0, [ ~( f( a, a, z( X, Y, Z ) ) ), f( Y, Z, X ), f( Z, X, Y )
% 0.68/1.12 , ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 491, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ), f( z( Z, X, Y )
% 0.68/1.12 , X, Z ), ~( f( a, a, z( X, Y, Z ) ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 11, [ ~( f( Z, X, Y ) ), f( z( Y, Z, X ), Z, Y ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 2, clause( 481, [ f( z( X, Y, Z ), Y, X ), ~( f( a, a, z( Y, Z, X ) ) ),
% 0.68/1.12 f( Z, X, Y ), ~( f( Y, Z, X ) ) ] )
% 0.68/1.12 , 2, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.12 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 496, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ), ~( f( a, a, z( X
% 0.68/1.12 , Y, Z ) ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 491, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ), f( z( Z, X, Y
% 0.68/1.12 ), X, Z ), ~( f( a, a, z( X, Y, Z ) ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 497, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ), ~( f( a, a, z( X
% 0.68/1.12 , Y, Z ) ) ) ] )
% 0.68/1.12 , clause( 496, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ), ~( f( a, a, z(
% 0.68/1.12 X, Y, Z ) ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 32, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ), ~( f( a, a, z( X
% 0.68/1.12 , Y, Z ) ) ) ] )
% 0.68/1.12 , clause( 497, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ), ~( f( a, a, z(
% 0.68/1.12 X, Y, Z ) ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 498, [ f( a, X, a ), f( X, a, a ), ~( f( a, a, X ) ), f( X, a, a )
% 0.68/1.12 ] )
% 0.68/1.12 , clause( 0, [ ~( f( a, a, z( X, Y, Z ) ) ), f( Y, Z, X ), f( Z, X, Y ),
% 0.68/1.12 ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 0, clause( 3, [ f( Z, Y, z( Y, Z, X ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, a ), :=( Y, a ), :=( Z, X )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X ), :=( Y, a ), :=( Z, a )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 505, [ f( a, X, a ), f( X, a, a ), ~( f( a, a, X ) ) ] )
% 0.68/1.12 , clause( 498, [ f( a, X, a ), f( X, a, a ), ~( f( a, a, X ) ), f( X, a, a
% 0.68/1.12 ) ] )
% 0.68/1.12 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 34, [ f( a, X, a ), ~( f( a, a, X ) ), f( X, a, a ) ] )
% 0.68/1.12 , clause( 505, [ f( a, X, a ), f( X, a, a ), ~( f( a, a, X ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 507, [ f( z( X, Y, z( Y, X, Z ) ), Y, X ), f( Z, Y, X ) ] )
% 0.68/1.12 , clause( 12, [ f( z( X, Y, Z ), Y, X ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 1, clause( 3, [ f( Z, Y, z( Y, Z, X ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, z( Y, X, Z ) )] ),
% 0.68/1.12 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 38, [ f( z( Z, Y, z( Y, Z, X ) ), Y, Z ), f( X, Y, Z ) ] )
% 0.68/1.12 , clause( 507, [ f( z( X, Y, z( Y, X, Z ) ), Y, X ), f( Z, Y, X ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 510, [ f( z( Z, X, Y ), X, Z ), ~( f( Y, Z, X ) ), f( Z, z( Z, X, Y
% 0.68/1.12 ), X ) ] )
% 0.68/1.12 , clause( 11, [ ~( f( Z, X, Y ) ), f( z( Y, Z, X ), Z, Y ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 0, clause( 7, [ f( Z, z( Z, X, Y ), X ), f( X, Y, Z ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 103, [ ~( f( Z, X, Y ) ), f( X, z( X, Y, Z ), Y ), f( z( X, Y, Z )
% 0.68/1.12 , Y, X ) ] )
% 0.68/1.12 , clause( 510, [ f( z( Z, X, Y ), X, Z ), ~( f( Y, Z, X ) ), f( Z, z( Z, X
% 0.68/1.12 , Y ), X ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 516, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ), ~( f( Z, z( Z, X
% 0.68/1.12 , Y ), X ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 4, [ ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 2, clause( 5, [ f( Z, X, Y ), ~( f( Z, z( Z, X, Y ), X ) ), ~( f( X, Y, Z
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 517, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ), ~( f( Z, z( Z, X
% 0.68/1.12 , Y ), X ) ) ] )
% 0.68/1.12 , clause( 516, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ), ~( f( Z, z( Z
% 0.68/1.12 , X, Y ), X ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 114, [ ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ), ~( f( X, z( X, Y
% 0.68/1.12 , Z ), Y ) ) ] )
% 0.68/1.12 , clause( 517, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ), ~( f( Z, z( Z
% 0.68/1.12 , X, Y ), X ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 520, [ f( a, X, a ), f( X, a, a ), ~( f( z( a, a, X ), a, a ) ), f(
% 0.68/1.12 a, X, a ) ] )
% 0.68/1.12 , clause( 34, [ f( a, X, a ), ~( f( a, a, X ) ), f( X, a, a ) ] )
% 0.68/1.12 , 1, clause( 10, [ f( Z, X, Y ), ~( f( z( Z, X, Y ), X, Z ) ), f( X, Y, Z )
% 0.68/1.12 ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, a ), :=( Y
% 0.68/1.12 , X ), :=( Z, a )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 525, [ f( a, X, a ), f( X, a, a ), ~( f( z( a, a, X ), a, a ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 520, [ f( a, X, a ), f( X, a, a ), ~( f( z( a, a, X ), a, a ) ),
% 0.68/1.12 f( a, X, a ) ] )
% 0.68/1.12 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 144, [ f( a, X, a ), f( X, a, a ), ~( f( z( a, a, X ), a, a ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 525, [ f( a, X, a ), f( X, a, a ), ~( f( z( a, a, X ), a, a ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.12 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 527, [ ~( f( X, Y, Z ) ), f( Y, z( Y, Z, X ), Z ), ~( f( Z, Y, z( Y
% 0.68/1.12 , Z, X ) ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 8, [ ~( f( Z, X, Y ) ), f( X, z( X, Y, Z ), Y ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 2, clause( 1, [ f( Y, Z, X ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f( X, Y, Z
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 528, [ ~( f( X, Y, Z ) ), f( Y, z( Y, Z, X ), Z ), ~( f( Z, Y, z( Y
% 0.68/1.12 , Z, X ) ) ) ] )
% 0.68/1.12 , clause( 527, [ ~( f( X, Y, Z ) ), f( Y, z( Y, Z, X ), Z ), ~( f( Z, Y, z(
% 0.68/1.12 Y, Z, X ) ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 184, [ f( Y, z( Y, Z, X ), Z ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f(
% 0.68/1.12 X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 528, [ ~( f( X, Y, Z ) ), f( Y, z( Y, Z, X ), Z ), ~( f( Z, Y, z(
% 0.68/1.12 Y, Z, X ) ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 529, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ), f( X, a, a
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 144, [ f( a, X, a ), f( X, a, a ), ~( f( z( a, a, X ), a, a ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , 2, clause( 38, [ f( z( Z, Y, z( Y, Z, X ) ), Y, Z ), f( X, Y, Z ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, z( a, a, X ) )] ), substitution( 1, [ :=( X
% 0.68/1.12 , X ), :=( Y, a ), :=( Z, a )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 534, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ), f( a, z( a
% 0.68/1.12 , a, X ), a ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 103, [ ~( f( Z, X, Y ) ), f( X, z( X, Y, Z ), Y ), f( z( X, Y, Z
% 0.68/1.12 ), Y, X ) ] )
% 0.68/1.12 , 0, clause( 529, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ), f( X
% 0.68/1.12 , a, a ) ] )
% 0.68/1.12 , 2, substitution( 0, [ :=( X, a ), :=( Y, a ), :=( Z, X )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 535, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ), f( z( a, a
% 0.68/1.12 , X ), a, a ) ] )
% 0.68/1.12 , clause( 534, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ), f( a, z(
% 0.68/1.12 a, a, X ), a ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 536, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 535, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ), f( z( a
% 0.68/1.12 , a, X ), a, a ) ] )
% 0.68/1.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 245, [ f( z( a, a, X ), a, a ), f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , clause( 536, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.12 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 537, [ f( X, a, a ), ~( f( a, X, a ) ), f( z( a, a, X ), a, a ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 6, [ f( Y, Z, X ), ~( f( Z, z( Z, X, Y ), X ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 1, clause( 245, [ f( z( a, a, X ), a, a ), f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 543, [ ~( f( a, X, a ) ), f( z( a, a, X ), a, a ), ~( f( a, X, a )
% 0.68/1.12 ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 11, [ ~( f( Z, X, Y ) ), f( z( Y, Z, X ), Z, Y ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 2, clause( 537, [ f( X, a, a ), ~( f( a, X, a ) ), f( z( a, a, X ), a, a
% 0.68/1.12 ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 547, [ ~( f( a, X, a ) ), f( z( a, a, X ), a, a ), ~( f( a, X, a )
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 543, [ ~( f( a, X, a ) ), f( z( a, a, X ), a, a ), ~( f( a, X, a
% 0.68/1.12 ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 548, [ ~( f( a, X, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 547, [ ~( f( a, X, a ) ), f( z( a, a, X ), a, a ), ~( f( a, X, a
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 248, [ ~( f( a, X, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 548, [ ~( f( a, X, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.12 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 551, [ f( a, a, X ), f( X, a, a ), ~( f( a, X, a ) ) ] )
% 0.68/1.12 , clause( 9, [ f( Y, Z, X ), ~( f( z( Y, Z, X ), Z, Y ) ), f( X, Y, Z ) ]
% 0.68/1.12 )
% 0.68/1.12 , 1, clause( 248, [ ~( f( a, X, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 250, [ f( a, a, X ), f( X, a, a ), ~( f( a, X, a ) ) ] )
% 0.68/1.12 , clause( 551, [ f( a, a, X ), f( X, a, a ), ~( f( a, X, a ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.12 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 553, [ f( a, a, z( a, a, X ) ), f( z( a, a, X ), a, a ), f( z( a, a
% 0.68/1.12 , X ), a, a ) ] )
% 0.68/1.12 , clause( 250, [ f( a, a, X ), f( X, a, a ), ~( f( a, X, a ) ) ] )
% 0.68/1.12 , 2, clause( 245, [ f( z( a, a, X ), a, a ), f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, z( a, a, X ) )] ), substitution( 1, [ :=( X
% 0.68/1.12 , X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 554, [ f( a, a, z( a, a, X ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 553, [ f( a, a, z( a, a, X ) ), f( z( a, a, X ), a, a ), f( z( a
% 0.68/1.12 , a, X ), a, a ) ] )
% 0.68/1.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 252, [ f( z( a, a, X ), a, a ), f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 , clause( 554, [ f( a, a, z( a, a, X ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.12 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 563, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a ),
% 0.68/1.12 ~( f( a, z( a, a, X ), a ) ) ] )
% 0.68/1.12 , clause( 2, [ f( Z, X, Y ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 1, clause( 250, [ f( a, a, X ), f( X, a, a ), ~( f( a, X, a ) ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, z( a, a, X ) )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 569, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a ), f(
% 0.68/1.12 a, X, a ) ] )
% 0.68/1.12 , clause( 563, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a ),
% 0.68/1.12 ~( f( a, z( a, a, X ), a ) ) ] )
% 0.68/1.12 , 3, clause( 7, [ f( Z, z( Z, X, Y ), X ), f( X, Y, Z ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, a ), :=( Y
% 0.68/1.12 , X ), :=( Z, a )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 570, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 569, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a ),
% 0.68/1.12 f( a, X, a ) ] )
% 0.68/1.12 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 260, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 570, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ]
% 0.68/1.12 )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.12 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 571, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 2, [ f( Z, X, Y ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 1, clause( 252, [ f( z( a, a, X ), a, a ), f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 575, [ f( z( a, a, X ), a, a ), ~( f( X, a, a ) ), ~( f( X, a, a )
% 0.68/1.12 ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 11, [ ~( f( Z, X, Y ) ), f( z( Y, Z, X ), Z, Y ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 0, clause( 571, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a
% 0.68/1.12 ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 578, [ f( z( a, a, X ), a, a ), ~( f( X, a, a ) ), ~( f( X, a, a )
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 575, [ f( z( a, a, X ), a, a ), ~( f( X, a, a ) ), ~( f( X, a, a
% 0.68/1.12 ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 579, [ f( z( a, a, X ), a, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 578, [ f( z( a, a, X ), a, a ), ~( f( X, a, a ) ), ~( f( X, a, a
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 304, [ ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 579, [ f( z( a, a, X ), a, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.12 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 582, [ f( a, a, X ), f( a, X, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 10, [ f( Z, X, Y ), ~( f( z( Z, X, Y ), X, Z ) ), f( X, Y, Z ) ]
% 0.68/1.12 )
% 0.68/1.12 , 1, clause( 304, [ ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 310, [ f( a, a, X ), f( a, X, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 582, [ f( a, a, X ), f( a, X, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.12 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 584, [ f( a, a, z( a, a, X ) ), f( a, z( a, a, X ), a ), ~( f( X, a
% 0.68/1.12 , a ) ) ] )
% 0.68/1.12 , clause( 310, [ f( a, a, X ), f( a, X, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , 2, clause( 304, [ ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, z( a, a, X ) )] ), substitution( 1, [ :=( X
% 0.68/1.12 , X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 585, [ f( a, z( a, a, X ), a ), ~( f( X, a, a ) ), f( a, z( a, a, X
% 0.68/1.12 ), a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 184, [ f( Y, z( Y, Z, X ), Z ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~(
% 0.68/1.12 f( X, Y, Z ) ) ] )
% 0.68/1.12 , 1, clause( 584, [ f( a, a, z( a, a, X ) ), f( a, z( a, a, X ), a ), ~( f(
% 0.68/1.12 X, a, a ) ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 587, [ f( a, z( a, a, X ), a ), ~( f( X, a, a ) ), ~( f( X, a, a )
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 585, [ f( a, z( a, a, X ), a ), ~( f( X, a, a ) ), f( a, z( a, a
% 0.68/1.12 , X ), a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 588, [ f( a, z( a, a, X ), a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 587, [ f( a, z( a, a, X ), a ), ~( f( X, a, a ) ), ~( f( X, a, a
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 314, [ ~( f( X, a, a ) ), f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , clause( 588, [ f( a, z( a, a, X ), a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.12 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 596, [ f( a, a, X ), ~( f( a, z( a, a, X ), a ) ), f( a, a, X ),
% 0.68/1.12 ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 5, [ f( Z, X, Y ), ~( f( Z, z( Z, X, Y ), X ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 2, clause( 310, [ f( a, a, X ), f( a, X, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 598, [ f( a, a, X ), f( a, a, X ), ~( f( X, a, a ) ), ~( f( X, a, a
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , clause( 596, [ f( a, a, X ), ~( f( a, z( a, a, X ), a ) ), f( a, a, X ),
% 0.68/1.12 ~( f( X, a, a ) ) ] )
% 0.68/1.12 , 1, clause( 314, [ ~( f( X, a, a ) ), f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.12 ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 599, [ f( a, a, X ), ~( f( X, a, a ) ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 598, [ f( a, a, X ), f( a, a, X ), ~( f( X, a, a ) ), ~( f( X, a
% 0.68/1.12 , a ) ) ] )
% 0.68/1.12 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 600, [ f( a, a, X ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 599, [ f( a, a, X ), ~( f( X, a, a ) ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 320, [ ~( f( X, a, a ) ), f( a, a, X ) ] )
% 0.68/1.12 , clause( 600, [ f( a, a, X ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.12 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 601, [ f( a, a, z( a, a, X ) ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 320, [ ~( f( X, a, a ) ), f( a, a, X ) ] )
% 0.68/1.12 , 0, clause( 304, [ ~( f( X, a, a ) ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, z( a, a, X ) )] ), substitution( 1, [ :=( X
% 0.68/1.12 , X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 602, [ f( a, a, z( a, a, X ) ), f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 , clause( 601, [ f( a, a, z( a, a, X ) ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , 1, clause( 3, [ f( Z, Y, z( Y, Z, X ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.68/1.12 , a ), :=( Z, a )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 603, [ f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 , clause( 602, [ f( a, a, z( a, a, X ) ), f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 324, [ f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 , clause( 603, [ f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 605, [ f( a, X, a ), ~( f( X, a, a ) ), ~( f( z( a, a, X ), a, a )
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 2, [ f( Z, X, Y ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 1, clause( 320, [ ~( f( X, a, a ) ), f( a, a, X ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, z( a, a, X ) )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 607, [ f( a, X, a ), ~( f( X, a, a ) ), f( a, X, a ), ~( f( X, a, a
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , clause( 605, [ f( a, X, a ), ~( f( X, a, a ) ), ~( f( z( a, a, X ), a, a
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , 2, clause( 260, [ f( a, X, a ), ~( f( X, a, a ) ), f( z( a, a, X ), a, a
% 0.68/1.12 ) ] )
% 0.68/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.12 ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 608, [ f( a, X, a ), ~( f( X, a, a ) ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 607, [ f( a, X, a ), ~( f( X, a, a ) ), f( a, X, a ), ~( f( X, a
% 0.68/1.12 , a ) ) ] )
% 0.68/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 609, [ f( a, X, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , clause( 608, [ f( a, X, a ), ~( f( X, a, a ) ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 331, [ ~( f( X, a, a ) ), f( a, X, a ) ] )
% 0.68/1.12 , clause( 609, [ f( a, X, a ), ~( f( X, a, a ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.12 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 610, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 34, [ f( a, X, a ), ~( f( a, a, X ) ), f( X, a, a ) ] )
% 0.68/1.12 , 1, clause( 324, [ f( a, a, z( a, a, X ) ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, z( a, a, X ) )] ), substitution( 1, [ :=( X
% 0.68/1.12 , X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 611, [ f( a, z( a, a, X ), a ), f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , clause( 331, [ ~( f( X, a, a ) ), f( a, X, a ) ] )
% 0.68/1.12 , 0, clause( 610, [ f( a, z( a, a, X ), a ), f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, z( a, a, X ) )] ), substitution( 1, [ :=( X
% 0.68/1.12 , X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 612, [ f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , clause( 611, [ f( a, z( a, a, X ), a ), f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 333, [ f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , clause( 612, [ f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 613, [ f( X, a, a ), ~( f( a, X, a ) ) ] )
% 0.68/1.12 , clause( 6, [ f( Y, Z, X ), ~( f( Z, z( Z, X, Y ), X ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 1, clause( 333, [ f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 338, [ ~( f( a, X, a ) ), f( X, a, a ) ] )
% 0.68/1.12 , clause( 613, [ f( X, a, a ), ~( f( a, X, a ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.12 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 616, [ f( z( a, a, X ), a, a ), ~( f( a, z( a, a, z( a, a, X ) ), a
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , clause( 6, [ f( Y, Z, X ), ~( f( Z, z( Z, X, Y ), X ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 2, clause( 333, [ f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, a ), :=( Y, z( a, a, X ) ), :=( Z, a )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 617, [ f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 616, [ f( z( a, a, X ), a, a ), ~( f( a, z( a, a, z( a, a, X ) )
% 0.68/1.12 , a ) ) ] )
% 0.68/1.12 , 1, clause( 333, [ f( a, z( a, a, X ), a ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( a, a, X
% 0.68/1.12 ) )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 339, [ f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , clause( 617, [ f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 618, [ f( a, X, a ), f( X, a, a ) ] )
% 0.68/1.12 , clause( 144, [ f( a, X, a ), f( X, a, a ), ~( f( z( a, a, X ), a, a ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , 2, clause( 339, [ f( z( a, a, X ), a, a ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.12 ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 621, [ f( X, a, a ), f( X, a, a ) ] )
% 0.68/1.12 , clause( 338, [ ~( f( a, X, a ) ), f( X, a, a ) ] )
% 0.68/1.12 , 0, clause( 618, [ f( a, X, a ), f( X, a, a ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.12 ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 622, [ f( X, a, a ) ] )
% 0.68/1.12 , clause( 621, [ f( X, a, a ), f( X, a, a ) ] )
% 0.68/1.12 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 346, [ f( X, a, a ) ] )
% 0.68/1.12 , clause( 622, [ f( X, a, a ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 623, [ f( a, a, X ) ] )
% 0.68/1.12 , clause( 320, [ ~( f( X, a, a ) ), f( a, a, X ) ] )
% 0.68/1.12 , 0, clause( 346, [ f( X, a, a ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.12 ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 349, [ f( a, a, X ) ] )
% 0.68/1.12 , clause( 623, [ f( a, a, X ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 624, [ f( Y, Z, X ), f( Z, X, Y ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 0, [ ~( f( a, a, z( X, Y, Z ) ) ), f( Y, Z, X ), f( Z, X, Y ),
% 0.68/1.12 ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 0, clause( 349, [ f( a, a, X ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 substitution( 1, [ :=( X, z( X, Y, Z ) )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 355, [ f( Y, Z, X ), ~( f( Z, X, Y ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , clause( 624, [ f( Y, Z, X ), f( Z, X, Y ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 628, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ) ] )
% 0.68/1.12 , clause( 32, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ), ~( f( a, a, z(
% 0.68/1.12 X, Y, Z ) ) ) ] )
% 0.68/1.12 , 2, clause( 349, [ f( a, a, X ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 substitution( 1, [ :=( X, z( X, Y, Z ) )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 385, [ f( z( Z, X, Y ), X, Z ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 628, [ ~( f( X, Y, Z ) ), f( z( Z, X, Y ), X, Z ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 629, [ f( X, z( X, Y, Z ), Y ), f( Y, X, z( X, Y, Z ) ), ~( f( Y, Z
% 0.68/1.12 , X ) ) ] )
% 0.68/1.12 , clause( 355, [ f( Y, Z, X ), ~( f( Z, X, Y ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , 1, clause( 385, [ f( z( Z, X, Y ), X, Z ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, z( X, Y, Z ) )] ),
% 0.68/1.12 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 632, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ), f( X, Z, z( Z, X
% 0.68/1.12 , Y ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 114, [ ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ), ~( f( X, z( X
% 0.68/1.12 , Y, Z ), Y ) ) ] )
% 0.68/1.12 , 2, clause( 629, [ f( X, z( X, Y, Z ), Y ), f( Y, X, z( X, Y, Z ) ), ~( f(
% 0.68/1.12 Y, Z, X ) ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.12 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 634, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 632, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ), f( X, Z, z( Z
% 0.68/1.12 , X, Y ) ), ~( f( X, Y, Z ) ) ] )
% 0.68/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 635, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ) ] )
% 0.68/1.12 , clause( 634, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ), ~( f( X, Y, Z
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 390, [ ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ) ] )
% 0.68/1.12 , clause( 635, [ ~( f( X, Y, Z ) ), f( X, Z, z( Z, X, Y ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 636, [ f( X, Y, Z ), f( Z, X, Y ), ~( f( z( Y, Z, X ), Z, Y ) ), f(
% 0.68/1.12 X, Y, Z ) ] )
% 0.68/1.12 , clause( 355, [ f( Y, Z, X ), ~( f( Z, X, Y ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , 1, clause( 9, [ f( Y, Z, X ), ~( f( z( Y, Z, X ), Z, Y ) ), f( X, Y, Z )
% 0.68/1.12 ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 641, [ f( X, Y, Z ), f( Z, X, Y ), ~( f( z( Y, Z, X ), Z, Y ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 636, [ f( X, Y, Z ), f( Z, X, Y ), ~( f( z( Y, Z, X ), Z, Y ) ),
% 0.68/1.12 f( X, Y, Z ) ] )
% 0.68/1.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 394, [ f( Z, X, Y ), ~( f( z( Y, Z, X ), Z, Y ) ), f( X, Y, Z ) ]
% 0.68/1.12 )
% 0.68/1.12 , clause( 641, [ f( X, Y, Z ), f( Z, X, Y ), ~( f( z( Y, Z, X ), Z, Y ) ) ]
% 0.68/1.12 )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 655, [ f( X, Y, Z ), ~( f( Y, X, z( X, Y, Z ) ) ), f( X, Y, Z ),
% 0.68/1.12 ~( f( Y, Z, X ) ) ] )
% 0.68/1.12 , clause( 1, [ f( Y, Z, X ), ~( f( Z, Y, z( Y, Z, X ) ) ), ~( f( X, Y, Z )
% 0.68/1.12 ) ] )
% 0.68/1.12 , 2, clause( 355, [ f( Y, Z, X ), ~( f( Z, X, Y ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.12 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 657, [ f( X, Y, Z ), f( X, Y, Z ), ~( f( Y, Z, X ) ), ~( f( Y, Z, X
% 0.68/1.12 ) ) ] )
% 0.68/1.12 , clause( 655, [ f( X, Y, Z ), ~( f( Y, X, z( X, Y, Z ) ) ), f( X, Y, Z ),
% 0.68/1.12 ~( f( Y, Z, X ) ) ] )
% 0.68/1.12 , 1, clause( 390, [ ~( f( Y, Z, X ) ), f( Y, X, z( X, Y, Z ) ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 658, [ f( X, Y, Z ), ~( f( Y, Z, X ) ), ~( f( Y, Z, X ) ) ] )
% 0.68/1.12 , clause( 657, [ f( X, Y, Z ), f( X, Y, Z ), ~( f( Y, Z, X ) ), ~( f( Y, Z
% 0.68/1.12 , X ) ) ] )
% 0.68/1.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 659, [ f( X, Y, Z ), ~( f( Y, Z, X ) ) ] )
% 0.68/1.12 , clause( 658, [ f( X, Y, Z ), ~( f( Y, Z, X ) ), ~( f( Y, Z, X ) ) ] )
% 0.68/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 402, [ ~( f( Y, Z, X ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , clause( 659, [ f( X, Y, Z ), ~( f( Y, Z, X ) ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 660, [ f( X, Y, z( Y, X, Z ) ), f( z( Y, X, Z ), X, Y ), f( X, Z, Y
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 355, [ f( Y, Z, X ), ~( f( Z, X, Y ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , 1, clause( 7, [ f( Z, z( Z, X, Y ), X ), f( X, Y, Z ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, z( Y, X, Z ) ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 663, [ f( z( Y, X, Z ), X, Y ), f( z( Y, X, Z ), X, Y ), f( X, Z, Y
% 0.68/1.12 ) ] )
% 0.68/1.12 , clause( 402, [ ~( f( Y, Z, X ) ), f( X, Y, Z ) ] )
% 0.68/1.12 , 0, clause( 660, [ f( X, Y, z( Y, X, Z ) ), f( z( Y, X, Z ), X, Y ), f( X
% 0.68/1.12 , Z, Y ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, z( Y, X, Z ) ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 666, [ f( z( X, Y, Z ), Y, X ), f( Y, Z, X ) ] )
% 0.68/1.12 , clause( 663, [ f( z( Y, X, Z ), X, Y ), f( z( Y, X, Z ), X, Y ), f( X, Z
% 0.68/1.12 , Y ) ] )
% 0.68/1.12 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 405, [ f( X, Z, Y ), f( z( Y, X, Z ), X, Y ) ] )
% 0.68/1.12 , clause( 666, [ f( z( X, Y, Z ), Y, X ), f( Y, Z, X ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 667, [ f( X, X, X ), ~( f( z( X, X, X ), X, X ) ) ] )
% 0.68/1.12 , clause( 394, [ f( Z, X, Y ), ~( f( z( Y, Z, X ), Z, Y ) ), f( X, Y, Z ) ]
% 0.68/1.12 )
% 0.68/1.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 669, [ f( X, X, X ), f( X, X, X ) ] )
% 0.68/1.12 , clause( 667, [ f( X, X, X ), ~( f( z( X, X, X ), X, X ) ) ] )
% 0.68/1.12 , 1, clause( 405, [ f( X, Z, Y ), f( z( Y, X, Z ), X, Y ) ] )
% 0.68/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.68/1.12 , X ), :=( Z, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 factor(
% 0.68/1.12 clause( 670, [ f( X, X, X ) ] )
% 0.68/1.12 , clause( 669, [ f( X, X, X ), f( X, X, X ) ] )
% 0.68/1.12 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 409, [ f( X, X, X ) ] )
% 0.68/1.12 , clause( 670, [ f( X, X, X ) ] )
% 0.68/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 671, [ ~( f( X, X, X ) ) ] )
% 0.68/1.12 , clause( 20, [ ~( f( z( X, X, X ), z( X, X, X ), z( X, X, X ) ) ), ~( f( X
% 0.68/1.12 , X, X ) ) ] )
% 0.68/1.12 , 0, clause( 409, [ f( X, X, X ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( X, X, X
% 0.68/1.12 ) )] )).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 resolution(
% 0.68/1.12 clause( 672, [] )
% 0.68/1.12 , clause( 671, [ ~( f( X, X, X ) ) ] )
% 0.68/1.12 , 0, clause( 409, [ f( X, X, X ) ] )
% 0.68/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.12 ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 subsumption(
% 0.68/1.12 clause( 410, [] )
% 0.68/1.12 , clause( 672, [] )
% 0.68/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 end.
% 0.68/1.12
% 0.68/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.12
% 0.68/1.12 Memory use:
% 0.68/1.12
% 0.68/1.12 space for terms: 9091
% 0.68/1.12 space for clauses: 25885
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 clauses generated: 3626
% 0.68/1.12 clauses kept: 411
% 0.68/1.12 clauses selected: 87
% 0.68/1.12 clauses deleted: 22
% 0.68/1.12 clauses inuse deleted: 0
% 0.68/1.12
% 0.68/1.12 subsentry: 6169
% 0.68/1.12 literals s-matched: 3852
% 0.68/1.12 literals matched: 3397
% 0.68/1.12 full subsumption: 1518
% 0.68/1.12
% 0.68/1.12 checksum: -370128500
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Bliksem ended
%------------------------------------------------------------------------------