TSTP Solution File: SYO691-1.001 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO691-1.001 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 14:29:31 EDT 2022
% Result : Unsatisfiable 0.86s 1.27s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO691-1.001 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jul 9 13:41:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.86/1.27 *** allocated 10000 integers for termspace/termends
% 0.86/1.27 *** allocated 10000 integers for clauses
% 0.86/1.27 *** allocated 10000 integers for justifications
% 0.86/1.27 Bliksem 1.12
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Automatic Strategy Selection
% 0.86/1.27
% 0.86/1.27 Clauses:
% 0.86/1.27 [
% 0.86/1.27 [ top( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y, a ), a ) ),
% 0.86/1.27 X ) ) ],
% 0.86/1.27 [ ~( seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), X, X ) ) ],
% 0.86/1.27 [ ~( top( X, Y ) ), step( X, Y ) ],
% 0.86/1.27 [ ~( step( X, Y ) ), step( f( X, Z ), f( Y, Z ) ) ],
% 0.86/1.27 [ ~( step( X, Y ) ), step( f( Z, X ), f( Z, Y ) ) ],
% 0.86/1.27 [ seq( zero, X, X ) ],
% 0.86/1.27 [ ~( seq( X, Y, Z ) ), ~( step( Z, T ) ), seq( succ( X ), Y, T ) ]
% 0.86/1.27 ] .
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 percentage equality = 0.000000, percentage horn = 1.000000
% 0.86/1.27 This is a near-Horn, non-equality problem
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Options Used:
% 0.86/1.27
% 0.86/1.27 useres = 1
% 0.86/1.27 useparamod = 0
% 0.86/1.27 useeqrefl = 0
% 0.86/1.27 useeqfact = 0
% 0.86/1.27 usefactor = 1
% 0.86/1.27 usesimpsplitting = 0
% 0.86/1.27 usesimpdemod = 0
% 0.86/1.27 usesimpres = 4
% 0.86/1.27
% 0.86/1.27 resimpinuse = 1000
% 0.86/1.27 resimpclauses = 20000
% 0.86/1.27 substype = standard
% 0.86/1.27 backwardsubs = 1
% 0.86/1.27 selectoldest = 5
% 0.86/1.27
% 0.86/1.27 litorderings [0] = split
% 0.86/1.27 litorderings [1] = liftord
% 0.86/1.27
% 0.86/1.27 termordering = none
% 0.86/1.27
% 0.86/1.27 litapriori = 1
% 0.86/1.27 termapriori = 0
% 0.86/1.27 litaposteriori = 0
% 0.86/1.27 termaposteriori = 0
% 0.86/1.27 demodaposteriori = 0
% 0.86/1.27 ordereqreflfact = 0
% 0.86/1.27
% 0.86/1.27 litselect = negative
% 0.86/1.27
% 0.86/1.27 maxweight = 30000
% 0.86/1.27 maxdepth = 30000
% 0.86/1.27 maxlength = 115
% 0.86/1.27 maxnrvars = 195
% 0.86/1.27 excuselevel = 0
% 0.86/1.27 increasemaxweight = 0
% 0.86/1.27
% 0.86/1.27 maxselected = 10000000
% 0.86/1.27 maxnrclauses = 10000000
% 0.86/1.27
% 0.86/1.27 showgenerated = 0
% 0.86/1.27 showkept = 0
% 0.86/1.27 showselected = 0
% 0.86/1.27 showdeleted = 0
% 0.86/1.27 showresimp = 1
% 0.86/1.27 showstatus = 2000
% 0.86/1.27
% 0.86/1.27 prologoutput = 1
% 0.86/1.27 nrgoals = 5000000
% 0.86/1.27 totalproof = 1
% 0.86/1.27
% 0.86/1.27 Symbols occurring in the translation:
% 0.86/1.27
% 0.86/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.27 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.86/1.27 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.86/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.27 a [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.86/1.27 f [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.86/1.27 top [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.86/1.27 zero [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.86/1.27 succ [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.86/1.27 seq [47, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.86/1.27 step [48, 2] (w:1, o:47, a:1, s:1, b:0).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Starting Search:
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 2191
% 0.86/1.27 Kept: 2044
% 0.86/1.27 Inuse: 257
% 0.86/1.27 Deleted: 0
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 4516
% 0.86/1.27 Kept: 4095
% 0.86/1.27 Inuse: 350
% 0.86/1.27 Deleted: 0
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 6564
% 0.86/1.27 Kept: 6136
% 0.86/1.27 Inuse: 394
% 0.86/1.27 Deleted: 0
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Intermediate Status:
% 0.86/1.27 Generated: 8668
% 0.86/1.27 Kept: 8230
% 0.86/1.27 Inuse: 448
% 0.86/1.27 Deleted: 0
% 0.86/1.27 Deletedinuse: 0
% 0.86/1.27
% 0.86/1.27 Resimplifying inuse:
% 0.86/1.27 Done
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Bliksems!, er is een bewijs:
% 0.86/1.27 % SZS status Unsatisfiable
% 0.86/1.27 % SZS output start Refutation
% 0.86/1.27
% 0.86/1.27 clause( 0, [ top( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y, a )
% 0.86/1.27 , a ) ), X ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 1, [ ~( seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), X, X ) )
% 0.86/1.27 ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 2, [ step( X, Y ), ~( top( X, Y ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 3, [ step( f( X, Z ), f( Y, Z ) ), ~( step( X, Y ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 5, [ seq( zero, X, X ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z ) )
% 0.86/1.27 ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 7, [ step( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y, a )
% 0.86/1.27 , a ) ), X ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 8, [ seq( succ( zero ), X, Y ), ~( step( X, Y ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 9, [ seq( succ( zero ), f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z
% 0.86/1.27 , f( f( Y, a ), a ) ), X ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 10, [ step( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), f( f( f( Z,
% 0.86/1.27 f( f( Y, a ), a ) ), X ), T ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 12, [ seq( succ( succ( zero ) ), f( f( f( Z, a ), Y ), f( X, a ) )
% 0.86/1.27 , T ), ~( step( f( f( X, f( f( Y, a ), a ) ), Z ), T ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 14, [ step( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U ), f( f(
% 0.86/1.27 f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 22, [ seq( succ( succ( zero ) ), f( f( f( X, a ), Y ), f( f( f( Z,
% 0.86/1.27 a ), T ), a ) ), f( f( f( f( Y, a ), f( f( T, a ), a ) ), Z ), X ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 26, [ step( f( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U ), W
% 0.86/1.27 ), f( f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ), W ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 50, [ seq( succ( succ( succ( zero ) ) ), f( f( f( T, a ), X ), f( f(
% 0.86/1.27 f( Z, a ), Y ), a ) ), U ), ~( step( f( f( f( f( X, a ), f( f( Y, a ), a
% 0.86/1.27 ) ), Z ), T ), U ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 175, [ seq( succ( succ( succ( zero ) ) ), f( f( f( X, a ), f( Y, a
% 0.86/1.27 ) ), f( f( f( Z, a ), T ), a ) ), f( f( f( f( f( T, a ), f( f( a, a ), a
% 0.86/1.27 ) ), Y ), Z ), X ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 178, [ seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( T, a ),
% 0.86/1.27 f( Y, a ) ), f( f( f( Z, a ), X ), a ) ), U ), ~( step( f( f( f( f( f( X
% 0.86/1.27 , a ), f( f( a, a ), a ) ), Y ), Z ), T ), U ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 1635, [ seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( X, a )
% 0.86/1.27 , f( Y, a ) ), f( f( f( Z, a ), f( T, a ) ), a ) ), f( f( f( f( f( f( a,
% 0.86/1.27 a ), f( f( a, a ), a ) ), T ), Y ), Z ), X ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 1649, [ seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), f( f( f(
% 0.86/1.27 T, a ), f( Y, a ) ), f( f( f( Z, a ), f( X, a ) ), a ) ), U ), ~( step( f(
% 0.86/1.27 f( f( f( f( f( a, a ), f( f( a, a ), a ) ), X ), Y ), Z ), T ), U ) ) ]
% 0.86/1.27 )
% 0.86/1.27 .
% 0.86/1.27 clause( 8218, [ seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), f( f( f(
% 0.86/1.27 X, a ), f( Y, a ) ), f( f( f( Z, a ), f( f( T, a ), a ) ), a ) ), f( f( f(
% 0.86/1.27 f( f( T, f( f( f( f( a, a ), a ), a ), a ) ), a ), Y ), Z ), X ) ) ] )
% 0.86/1.27 .
% 0.86/1.27 clause( 8353, [] )
% 0.86/1.27 .
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 % SZS output end Refutation
% 0.86/1.27 found a proof!
% 0.86/1.27
% 0.86/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.27
% 0.86/1.27 initialclauses(
% 0.86/1.27 [ clause( 8355, [ top( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y
% 0.86/1.27 , a ), a ) ), X ) ) ] )
% 0.86/1.27 , clause( 8356, [ ~( seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), X,
% 0.86/1.27 X ) ) ] )
% 0.86/1.27 , clause( 8357, [ ~( top( X, Y ) ), step( X, Y ) ] )
% 0.86/1.27 , clause( 8358, [ ~( step( X, Y ) ), step( f( X, Z ), f( Y, Z ) ) ] )
% 0.86/1.27 , clause( 8359, [ ~( step( X, Y ) ), step( f( Z, X ), f( Z, Y ) ) ] )
% 0.86/1.27 , clause( 8360, [ seq( zero, X, X ) ] )
% 0.86/1.27 , clause( 8361, [ ~( seq( X, Y, Z ) ), ~( step( Z, T ) ), seq( succ( X ), Y
% 0.86/1.27 , T ) ] )
% 0.86/1.27 ] ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 0, [ top( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y, a )
% 0.86/1.27 , a ) ), X ) ) ] )
% 0.86/1.27 , clause( 8355, [ top( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y
% 0.86/1.27 , a ), a ) ), X ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 1, [ ~( seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), X, X ) )
% 0.86/1.27 ] )
% 0.86/1.27 , clause( 8356, [ ~( seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), X,
% 0.86/1.27 X ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 2, [ step( X, Y ), ~( top( X, Y ) ) ] )
% 0.86/1.27 , clause( 8357, [ ~( top( X, Y ) ), step( X, Y ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.86/1.27 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 3, [ step( f( X, Z ), f( Y, Z ) ), ~( step( X, Y ) ) ] )
% 0.86/1.27 , clause( 8358, [ ~( step( X, Y ) ), step( f( X, Z ), f( Y, Z ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 5, [ seq( zero, X, X ) ] )
% 0.86/1.27 , clause( 8360, [ seq( zero, X, X ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z ) )
% 0.86/1.27 ] )
% 0.86/1.27 , clause( 8361, [ ~( seq( X, Y, Z ) ), ~( step( Z, T ) ), seq( succ( X ), Y
% 0.86/1.27 , T ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8362, [ step( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y,
% 0.86/1.27 a ), a ) ), X ) ) ] )
% 0.86/1.27 , clause( 2, [ step( X, Y ), ~( top( X, Y ) ) ] )
% 0.86/1.27 , 1, clause( 0, [ top( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y
% 0.86/1.27 , a ), a ) ), X ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( f( f( X, a ), Y ), f( Z, a ) ) ), :=( Y,
% 0.86/1.27 f( f( Z, f( f( Y, a ), a ) ), X ) )] ), substitution( 1, [ :=( X, X ),
% 0.86/1.27 :=( Y, Y ), :=( Z, Z )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 7, [ step( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y, a )
% 0.86/1.27 , a ) ), X ) ) ] )
% 0.86/1.27 , clause( 8362, [ step( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y
% 0.86/1.27 , a ), a ) ), X ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8363, [ ~( step( X, Y ) ), seq( succ( zero ), X, Y ) ] )
% 0.86/1.27 , clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 5, [ seq( zero, X, X ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, zero ), :=( Y, X ), :=( Z, X ), :=( T, Y )] )
% 0.86/1.27 , substitution( 1, [ :=( X, X )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 8, [ seq( succ( zero ), X, Y ), ~( step( X, Y ) ) ] )
% 0.86/1.27 , clause( 8363, [ ~( step( X, Y ) ), seq( succ( zero ), X, Y ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.86/1.27 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8364, [ seq( succ( zero ), f( f( f( X, a ), Y ), f( Z, a ) ), f( f(
% 0.86/1.27 Z, f( f( Y, a ), a ) ), X ) ) ] )
% 0.86/1.27 , clause( 8, [ seq( succ( zero ), X, Y ), ~( step( X, Y ) ) ] )
% 0.86/1.27 , 1, clause( 7, [ step( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y
% 0.86/1.27 , a ), a ) ), X ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( f( f( X, a ), Y ), f( Z, a ) ) ), :=( Y,
% 0.86/1.27 f( f( Z, f( f( Y, a ), a ) ), X ) )] ), substitution( 1, [ :=( X, X ),
% 0.86/1.27 :=( Y, Y ), :=( Z, Z )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 9, [ seq( succ( zero ), f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z
% 0.86/1.27 , f( f( Y, a ), a ) ), X ) ) ] )
% 0.86/1.27 , clause( 8364, [ seq( succ( zero ), f( f( f( X, a ), Y ), f( Z, a ) ), f(
% 0.86/1.27 f( Z, f( f( Y, a ), a ) ), X ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8365, [ step( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), f( f( f( Z
% 0.86/1.27 , f( f( Y, a ), a ) ), X ), T ) ) ] )
% 0.86/1.27 , clause( 3, [ step( f( X, Z ), f( Y, Z ) ), ~( step( X, Y ) ) ] )
% 0.86/1.27 , 1, clause( 7, [ step( f( f( f( X, a ), Y ), f( Z, a ) ), f( f( Z, f( f( Y
% 0.86/1.27 , a ), a ) ), X ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( f( f( X, a ), Y ), f( Z, a ) ) ), :=( Y,
% 0.86/1.27 f( f( Z, f( f( Y, a ), a ) ), X ) ), :=( Z, T )] ), substitution( 1, [
% 0.86/1.27 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 10, [ step( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), f( f( f( Z,
% 0.86/1.27 f( f( Y, a ), a ) ), X ), T ) ) ] )
% 0.86/1.27 , clause( 8365, [ step( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), f( f( f(
% 0.86/1.27 Z, f( f( Y, a ), a ) ), X ), T ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8366, [ ~( step( f( f( X, f( f( Y, a ), a ) ), Z ), T ) ), seq(
% 0.86/1.27 succ( succ( zero ) ), f( f( f( Z, a ), Y ), f( X, a ) ), T ) ] )
% 0.86/1.27 , clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 9, [ seq( succ( zero ), f( f( f( X, a ), Y ), f( Z, a ) ), f(
% 0.86/1.27 f( Z, f( f( Y, a ), a ) ), X ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, succ( zero ) ), :=( Y, f( f( f( Z, a ), Y )
% 0.86/1.27 , f( X, a ) ) ), :=( Z, f( f( X, f( f( Y, a ), a ) ), Z ) ), :=( T, T )] )
% 0.86/1.27 , substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 12, [ seq( succ( succ( zero ) ), f( f( f( Z, a ), Y ), f( X, a ) )
% 0.86/1.27 , T ), ~( step( f( f( X, f( f( Y, a ), a ) ), Z ), T ) ) ] )
% 0.86/1.27 , clause( 8366, [ ~( step( f( f( X, f( f( Y, a ), a ) ), Z ), T ) ), seq(
% 0.86/1.27 succ( succ( zero ) ), f( f( f( Z, a ), Y ), f( X, a ) ), T ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8367, [ step( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U ), f(
% 0.86/1.27 f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ) ) ] )
% 0.86/1.27 , clause( 3, [ step( f( X, Z ), f( Y, Z ) ), ~( step( X, Y ) ) ] )
% 0.86/1.27 , 1, clause( 10, [ step( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), f( f( f(
% 0.86/1.27 Z, f( f( Y, a ), a ) ), X ), T ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( f( f( f( X, a ), Y ), f( Z, a ) ), T ) )
% 0.86/1.27 , :=( Y, f( f( f( Z, f( f( Y, a ), a ) ), X ), T ) ), :=( Z, U )] ),
% 0.86/1.27 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 14, [ step( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U ), f( f(
% 0.86/1.27 f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ) ) ] )
% 0.86/1.27 , clause( 8367, [ step( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U ),
% 0.86/1.27 f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.86/1.27 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8368, [ seq( succ( succ( zero ) ), f( f( f( X, a ), Y ), f( f( f( Z
% 0.86/1.27 , a ), T ), a ) ), f( f( f( f( Y, a ), f( f( T, a ), a ) ), Z ), X ) ) ]
% 0.86/1.27 )
% 0.86/1.27 , clause( 12, [ seq( succ( succ( zero ) ), f( f( f( Z, a ), Y ), f( X, a )
% 0.86/1.27 ), T ), ~( step( f( f( X, f( f( Y, a ), a ) ), Z ), T ) ) ] )
% 0.86/1.27 , 1, clause( 10, [ step( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), f( f( f(
% 0.86/1.27 Z, f( f( Y, a ), a ) ), X ), T ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( f( Z, a ), T ) ), :=( Y, Y ), :=( Z, X )
% 0.86/1.27 , :=( T, f( f( f( f( Y, a ), f( f( T, a ), a ) ), Z ), X ) )] ),
% 0.86/1.27 substitution( 1, [ :=( X, Z ), :=( Y, T ), :=( Z, f( Y, a ) ), :=( T, X )] )
% 0.86/1.27 ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 22, [ seq( succ( succ( zero ) ), f( f( f( X, a ), Y ), f( f( f( Z,
% 0.86/1.27 a ), T ), a ) ), f( f( f( f( Y, a ), f( f( T, a ), a ) ), Z ), X ) ) ] )
% 0.86/1.27 , clause( 8368, [ seq( succ( succ( zero ) ), f( f( f( X, a ), Y ), f( f( f(
% 0.86/1.27 Z, a ), T ), a ) ), f( f( f( f( Y, a ), f( f( T, a ), a ) ), Z ), X ) ) ]
% 0.86/1.27 )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8369, [ step( f( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U )
% 0.86/1.27 , W ), f( f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ), W ) ) ] )
% 0.86/1.27 , clause( 3, [ step( f( X, Z ), f( Y, Z ) ), ~( step( X, Y ) ) ] )
% 0.86/1.27 , 1, clause( 14, [ step( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U )
% 0.86/1.27 , f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T )
% 0.86/1.27 , U ) ), :=( Y, f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ) ), :=(
% 0.86/1.27 Z, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 0.86/1.27 T ), :=( U, U )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 26, [ step( f( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U ), W
% 0.86/1.27 ), f( f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ), W ) ) ] )
% 0.86/1.27 , clause( 8369, [ step( f( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U
% 0.86/1.27 ), W ), f( f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ), W ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.86/1.27 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8370, [ ~( step( f( f( f( f( X, a ), f( f( Y, a ), a ) ), Z ), T )
% 0.86/1.27 , U ) ), seq( succ( succ( succ( zero ) ) ), f( f( f( T, a ), X ), f( f( f(
% 0.86/1.27 Z, a ), Y ), a ) ), U ) ] )
% 0.86/1.27 , clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 22, [ seq( succ( succ( zero ) ), f( f( f( X, a ), Y ), f( f( f(
% 0.86/1.27 Z, a ), T ), a ) ), f( f( f( f( Y, a ), f( f( T, a ), a ) ), Z ), X ) ) ]
% 0.86/1.27 )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, succ( succ( zero ) ) ), :=( Y, f( f( f( T, a
% 0.86/1.27 ), X ), f( f( f( Z, a ), Y ), a ) ) ), :=( Z, f( f( f( f( X, a ), f( f(
% 0.86/1.27 Y, a ), a ) ), Z ), T ) ), :=( T, U )] ), substitution( 1, [ :=( X, T ),
% 0.86/1.27 :=( Y, X ), :=( Z, Z ), :=( T, Y )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 50, [ seq( succ( succ( succ( zero ) ) ), f( f( f( T, a ), X ), f( f(
% 0.86/1.27 f( Z, a ), Y ), a ) ), U ), ~( step( f( f( f( f( X, a ), f( f( Y, a ), a
% 0.86/1.27 ) ), Z ), T ), U ) ) ] )
% 0.86/1.27 , clause( 8370, [ ~( step( f( f( f( f( X, a ), f( f( Y, a ), a ) ), Z ), T
% 0.86/1.27 ), U ) ), seq( succ( succ( succ( zero ) ) ), f( f( f( T, a ), X ), f( f(
% 0.86/1.27 f( Z, a ), Y ), a ) ), U ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.86/1.27 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8371, [ seq( succ( succ( succ( zero ) ) ), f( f( f( X, a ), f( Y, a
% 0.86/1.27 ) ), f( f( f( Z, a ), T ), a ) ), f( f( f( f( f( T, a ), f( f( a, a ), a
% 0.86/1.27 ) ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , clause( 50, [ seq( succ( succ( succ( zero ) ) ), f( f( f( T, a ), X ), f(
% 0.86/1.27 f( f( Z, a ), Y ), a ) ), U ), ~( step( f( f( f( f( X, a ), f( f( Y, a )
% 0.86/1.27 , a ) ), Z ), T ), U ) ) ] )
% 0.86/1.27 , 1, clause( 14, [ step( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U )
% 0.86/1.27 , f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( Y, a ) ), :=( Y, T ), :=( Z, Z ), :=( T,
% 0.86/1.27 X ), :=( U, f( f( f( f( f( T, a ), f( f( a, a ), a ) ), Y ), Z ), X ) )] )
% 0.86/1.27 , substitution( 1, [ :=( X, Y ), :=( Y, a ), :=( Z, f( T, a ) ), :=( T, Z
% 0.86/1.27 ), :=( U, X )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 175, [ seq( succ( succ( succ( zero ) ) ), f( f( f( X, a ), f( Y, a
% 0.86/1.27 ) ), f( f( f( Z, a ), T ), a ) ), f( f( f( f( f( T, a ), f( f( a, a ), a
% 0.86/1.27 ) ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , clause( 8371, [ seq( succ( succ( succ( zero ) ) ), f( f( f( X, a ), f( Y
% 0.86/1.27 , a ) ), f( f( f( Z, a ), T ), a ) ), f( f( f( f( f( T, a ), f( f( a, a )
% 0.86/1.27 , a ) ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8372, [ ~( step( f( f( f( f( f( X, a ), f( f( a, a ), a ) ), Y ), Z
% 0.86/1.27 ), T ), U ) ), seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( T, a
% 0.86/1.27 ), f( Y, a ) ), f( f( f( Z, a ), X ), a ) ), U ) ] )
% 0.86/1.27 , clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 175, [ seq( succ( succ( succ( zero ) ) ), f( f( f( X, a ), f(
% 0.86/1.27 Y, a ) ), f( f( f( Z, a ), T ), a ) ), f( f( f( f( f( T, a ), f( f( a, a
% 0.86/1.27 ), a ) ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, succ( succ( succ( zero ) ) ) ), :=( Y, f( f(
% 0.86/1.27 f( T, a ), f( Y, a ) ), f( f( f( Z, a ), X ), a ) ) ), :=( Z, f( f( f( f(
% 0.86/1.27 f( X, a ), f( f( a, a ), a ) ), Y ), Z ), T ) ), :=( T, U )] ),
% 0.86/1.27 substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 178, [ seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( T, a ),
% 0.86/1.27 f( Y, a ) ), f( f( f( Z, a ), X ), a ) ), U ), ~( step( f( f( f( f( f( X
% 0.86/1.27 , a ), f( f( a, a ), a ) ), Y ), Z ), T ), U ) ) ] )
% 0.86/1.27 , clause( 8372, [ ~( step( f( f( f( f( f( X, a ), f( f( a, a ), a ) ), Y )
% 0.86/1.27 , Z ), T ), U ) ), seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( T
% 0.86/1.27 , a ), f( Y, a ) ), f( f( f( Z, a ), X ), a ) ), U ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.86/1.27 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8373, [ seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( X, a )
% 0.86/1.27 , f( Y, a ) ), f( f( f( Z, a ), f( T, a ) ), a ) ), f( f( f( f( f( f( a,
% 0.86/1.27 a ), f( f( a, a ), a ) ), T ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , clause( 178, [ seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( T, a )
% 0.86/1.27 , f( Y, a ) ), f( f( f( Z, a ), X ), a ) ), U ), ~( step( f( f( f( f( f(
% 0.86/1.27 X, a ), f( f( a, a ), a ) ), Y ), Z ), T ), U ) ) ] )
% 0.86/1.27 , 1, clause( 26, [ step( f( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U
% 0.86/1.27 ), W ), f( f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ), W ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( T, a ) ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 0.86/1.27 X ), :=( U, f( f( f( f( f( f( a, a ), f( f( a, a ), a ) ), T ), Y ), Z )
% 0.86/1.27 , X ) )] ), substitution( 1, [ :=( X, T ), :=( Y, a ), :=( Z, f( a, a ) )
% 0.86/1.27 , :=( T, Y ), :=( U, Z ), :=( W, X )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 1635, [ seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( X, a )
% 0.86/1.27 , f( Y, a ) ), f( f( f( Z, a ), f( T, a ) ), a ) ), f( f( f( f( f( f( a,
% 0.86/1.27 a ), f( f( a, a ), a ) ), T ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , clause( 8373, [ seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( X, a
% 0.86/1.27 ), f( Y, a ) ), f( f( f( Z, a ), f( T, a ) ), a ) ), f( f( f( f( f( f( a
% 0.86/1.27 , a ), f( f( a, a ), a ) ), T ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8374, [ ~( step( f( f( f( f( f( f( a, a ), f( f( a, a ), a ) ), X )
% 0.86/1.27 , Y ), Z ), T ), U ) ), seq( succ( succ( succ( succ( succ( zero ) ) ) ) )
% 0.86/1.27 , f( f( f( T, a ), f( Y, a ) ), f( f( f( Z, a ), f( X, a ) ), a ) ), U )
% 0.86/1.27 ] )
% 0.86/1.27 , clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 2, clause( 1635, [ seq( succ( succ( succ( succ( zero ) ) ) ), f( f( f( X
% 0.86/1.27 , a ), f( Y, a ) ), f( f( f( Z, a ), f( T, a ) ), a ) ), f( f( f( f( f( f(
% 0.86/1.27 a, a ), f( f( a, a ), a ) ), T ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, succ( succ( succ( succ( zero ) ) ) ) ), :=(
% 0.86/1.27 Y, f( f( f( T, a ), f( Y, a ) ), f( f( f( Z, a ), f( X, a ) ), a ) ) ),
% 0.86/1.27 :=( Z, f( f( f( f( f( f( a, a ), f( f( a, a ), a ) ), X ), Y ), Z ), T )
% 0.86/1.27 ), :=( T, U )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )
% 0.86/1.27 , :=( T, X )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 1649, [ seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), f( f( f(
% 0.86/1.27 T, a ), f( Y, a ) ), f( f( f( Z, a ), f( X, a ) ), a ) ), U ), ~( step( f(
% 0.86/1.27 f( f( f( f( f( a, a ), f( f( a, a ), a ) ), X ), Y ), Z ), T ), U ) ) ]
% 0.86/1.27 )
% 0.86/1.27 , clause( 8374, [ ~( step( f( f( f( f( f( f( a, a ), f( f( a, a ), a ) ), X
% 0.86/1.27 ), Y ), Z ), T ), U ) ), seq( succ( succ( succ( succ( succ( zero ) ) ) )
% 0.86/1.27 ), f( f( f( T, a ), f( Y, a ) ), f( f( f( Z, a ), f( X, a ) ), a ) ), U
% 0.86/1.27 ) ] )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.86/1.27 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8375, [ seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), f( f( f(
% 0.86/1.27 X, a ), f( Y, a ) ), f( f( f( Z, a ), f( f( T, a ), a ) ), a ) ), f( f( f(
% 0.86/1.27 f( f( T, f( f( f( f( a, a ), a ), a ), a ) ), a ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , clause( 1649, [ seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), f( f(
% 0.86/1.27 f( T, a ), f( Y, a ) ), f( f( f( Z, a ), f( X, a ) ), a ) ), U ), ~( step(
% 0.86/1.27 f( f( f( f( f( f( a, a ), f( f( a, a ), a ) ), X ), Y ), Z ), T ), U ) )
% 0.86/1.27 ] )
% 0.86/1.27 , 1, clause( 26, [ step( f( f( f( f( f( f( X, a ), Y ), f( Z, a ) ), T ), U
% 0.86/1.27 ), W ), f( f( f( f( f( Z, f( f( Y, a ), a ) ), X ), T ), U ), W ) ) ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( T, a ) ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 0.86/1.27 X ), :=( U, f( f( f( f( f( T, f( f( f( f( a, a ), a ), a ), a ) ), a ), Y
% 0.86/1.27 ), Z ), X ) )] ), substitution( 1, [ :=( X, a ), :=( Y, f( f( a, a ), a
% 0.86/1.27 ) ), :=( Z, T ), :=( T, Y ), :=( U, Z ), :=( W, X )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 8218, [ seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), f( f( f(
% 0.86/1.27 X, a ), f( Y, a ) ), f( f( f( Z, a ), f( f( T, a ), a ) ), a ) ), f( f( f(
% 0.86/1.27 f( f( T, f( f( f( f( a, a ), a ), a ), a ) ), a ), Y ), Z ), X ) ) ] )
% 0.86/1.27 , clause( 8375, [ seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), f( f(
% 0.86/1.27 f( X, a ), f( Y, a ) ), f( f( f( Z, a ), f( f( T, a ), a ) ), a ) ), f( f(
% 0.86/1.27 f( f( f( T, f( f( f( f( a, a ), a ), a ), a ) ), a ), Y ), Z ), X ) ) ]
% 0.86/1.27 )
% 0.86/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.86/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 resolution(
% 0.86/1.27 clause( 8376, [] )
% 0.86/1.27 , clause( 1, [ ~( seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), X, X )
% 0.86/1.27 ) ] )
% 0.86/1.27 , 0, clause( 8218, [ seq( succ( succ( succ( succ( succ( zero ) ) ) ) ), f(
% 0.86/1.27 f( f( X, a ), f( Y, a ) ), f( f( f( Z, a ), f( f( T, a ), a ) ), a ) ), f(
% 0.86/1.27 f( f( f( f( T, f( f( f( f( a, a ), a ), a ), a ) ), a ), Y ), Z ), X ) )
% 0.86/1.27 ] )
% 0.86/1.27 , 0, substitution( 0, [ :=( X, f( f( f( f( f( f( f( a, a ), a ), f( f( f( f(
% 0.86/1.27 a, a ), a ), a ), a ) ), a ), a ), f( a, a ) ), f( f( f( f( a, a ), a ),
% 0.86/1.27 f( f( f( f( a, a ), a ), a ), a ) ), a ) ) )] ), substitution( 1, [ :=( X
% 0.86/1.27 , f( f( f( f( a, a ), a ), f( f( f( f( a, a ), a ), a ), a ) ), a ) ),
% 0.86/1.27 :=( Y, a ), :=( Z, f( a, a ) ), :=( T, f( f( a, a ), a ) )] )).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 subsumption(
% 0.86/1.27 clause( 8353, [] )
% 0.86/1.27 , clause( 8376, [] )
% 0.86/1.27 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 end.
% 0.86/1.27
% 0.86/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.27
% 0.86/1.27 Memory use:
% 0.86/1.27
% 0.86/1.27 space for terms: 539546
% 0.86/1.27 space for clauses: 3183057
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 clauses generated: 8792
% 0.86/1.27 clauses kept: 8354
% 0.86/1.27 clauses selected: 453
% 0.86/1.27 clauses deleted: 0
% 0.86/1.27 clauses inuse deleted: 0
% 0.86/1.27
% 0.86/1.27 subsentry: 473
% 0.86/1.27 literals s-matched: 438
% 0.86/1.27 literals matched: 438
% 0.86/1.27 full subsumption: 0
% 0.86/1.27
% 0.86/1.27 checksum: -463212923
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Bliksem ended
%------------------------------------------------------------------------------