TSTP Solution File: SYO691-1.000 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 21 14:29:30 EDT 2022
% Result : Unsatisfiable 0.42s 1.08s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 8 18:52:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08 [
% 0.42/1.08 [ top( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X ) ) ],
% 0.42/1.08 [ ~( seq( succ( succ( succ( zero ) ) ), X, X ) ) ],
% 0.42/1.08 [ ~( top( X, Y ) ), step( X, Y ) ],
% 0.42/1.08 [ ~( step( X, Y ) ), step( f( X, Z ), f( Y, Z ) ) ],
% 0.42/1.08 [ ~( step( X, Y ) ), step( f( Z, X ), f( Z, Y ) ) ],
% 0.42/1.08 [ seq( zero, X, X ) ],
% 0.42/1.08 [ ~( seq( X, Y, Z ) ), ~( step( Z, T ) ), seq( succ( X ), Y, T ) ]
% 0.42/1.08 ] .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 percentage equality = 0.000000, percentage horn = 1.000000
% 0.42/1.08 This is a near-Horn, non-equality problem
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 0
% 0.42/1.08 useeqrefl = 0
% 0.42/1.08 useeqfact = 0
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 0
% 0.42/1.08 usesimpres = 4
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = standard
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = liftord
% 0.42/1.08
% 0.42/1.08 termordering = none
% 0.42/1.08
% 0.42/1.08 litapriori = 1
% 0.42/1.08 termapriori = 0
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = negative
% 0.42/1.08
% 0.42/1.08 maxweight = 30000
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 0
% 0.42/1.08 increasemaxweight = 0
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 1
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 f [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.08 a [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.08 top [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.42/1.08 zero [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/1.08 succ [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.08 seq [47, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.42/1.08 step [48, 2] (w:1, o:47, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksems!, er is een bewijs:
% 0.42/1.08 % SZS status Unsatisfiable
% 0.42/1.08 % SZS output start Refutation
% 0.42/1.08
% 0.42/1.08 clause( 0, [ top( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X ) ) ]
% 0.42/1.08 )
% 0.42/1.08 .
% 0.42/1.08 clause( 1, [ ~( seq( succ( succ( succ( zero ) ) ), X, X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 2, [ step( X, Y ), ~( top( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 3, [ step( f( X, Z ), f( Y, Z ) ), ~( step( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 5, [ seq( zero, X, X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z ) )
% 0.42/1.08 ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 7, [ step( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X ) ) ]
% 0.42/1.08 )
% 0.42/1.08 .
% 0.42/1.08 clause( 8, [ seq( succ( zero ), X, Y ), ~( step( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 9, [ seq( succ( zero ), f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a
% 0.42/1.08 ) ), X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 10, [ step( f( f( f( X, Y ), f( Z, a ) ), T ), f( f( f( Z, f( Y, a
% 0.42/1.08 ) ), X ), T ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 12, [ seq( succ( succ( zero ) ), f( f( Z, Y ), f( X, a ) ), T ),
% 0.42/1.08 ~( step( f( f( X, f( Y, a ) ), Z ), T ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 14, [ step( f( f( f( f( X, Y ), f( Z, a ) ), T ), U ), f( f( f( f(
% 0.42/1.08 Z, f( Y, a ) ), X ), T ), U ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 22, [ seq( succ( succ( zero ) ), f( f( X, Y ), f( f( Z, T ), a ) )
% 0.42/1.08 , f( f( f( Y, f( T, a ) ), Z ), X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 28, [ seq( succ( succ( succ( zero ) ) ), f( f( T, X ), f( f( Z, Y )
% 0.42/1.08 , a ) ), U ), ~( step( f( f( f( X, f( Y, a ) ), Z ), T ), U ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 68, [ seq( succ( succ( succ( zero ) ) ), f( f( X, f( Y, Z ) ), f( f(
% 0.42/1.08 T, U ), a ) ), f( f( f( f( U, f( Z, a ) ), Y ), T ), X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 82, [] )
% 0.42/1.08 .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 % SZS output end Refutation
% 0.42/1.08 found a proof!
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 initialclauses(
% 0.42/1.08 [ clause( 84, [ top( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 85, [ ~( seq( succ( succ( succ( zero ) ) ), X, X ) ) ] )
% 0.42/1.08 , clause( 86, [ ~( top( X, Y ) ), step( X, Y ) ] )
% 0.42/1.08 , clause( 87, [ ~( step( X, Y ) ), step( f( X, Z ), f( Y, Z ) ) ] )
% 0.42/1.08 , clause( 88, [ ~( step( X, Y ) ), step( f( Z, X ), f( Z, Y ) ) ] )
% 0.42/1.08 , clause( 89, [ seq( zero, X, X ) ] )
% 0.42/1.08 , clause( 90, [ ~( seq( X, Y, Z ) ), ~( step( Z, T ) ), seq( succ( X ), Y,
% 0.42/1.08 T ) ] )
% 0.42/1.08 ] ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 0, [ top( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 84, [ top( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X ) )
% 0.42/1.08 ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 1, [ ~( seq( succ( succ( succ( zero ) ) ), X, X ) ) ] )
% 0.42/1.08 , clause( 85, [ ~( seq( succ( succ( succ( zero ) ) ), X, X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 2, [ step( X, Y ), ~( top( X, Y ) ) ] )
% 0.42/1.08 , clause( 86, [ ~( top( X, Y ) ), step( X, Y ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.42/1.08 ), ==>( 1, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 3, [ step( f( X, Z ), f( Y, Z ) ), ~( step( X, Y ) ) ] )
% 0.42/1.08 , clause( 87, [ ~( step( X, Y ) ), step( f( X, Z ), f( Y, Z ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 5, [ seq( zero, X, X ) ] )
% 0.42/1.08 , clause( 89, [ seq( zero, X, X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 90, [ ~( seq( X, Y, Z ) ), ~( step( Z, T ) ), seq( succ( X ), Y,
% 0.42/1.08 T ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 91, [ step( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 2, [ step( X, Y ), ~( top( X, Y ) ) ] )
% 0.42/1.08 , 1, clause( 0, [ top( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, f( f( X, Y ), f( Z, a ) ) ), :=( Y, f( f( Z
% 0.42/1.08 , f( Y, a ) ), X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.42/1.08 , Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 7, [ step( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 91, [ step( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X )
% 0.42/1.08 ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 92, [ ~( step( X, Y ) ), seq( succ( zero ), X, Y ) ] )
% 0.42/1.08 , clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 2, clause( 5, [ seq( zero, X, X ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, zero ), :=( Y, X ), :=( Z, X ), :=( T, Y )] )
% 0.42/1.08 , substitution( 1, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 8, [ seq( succ( zero ), X, Y ), ~( step( X, Y ) ) ] )
% 0.42/1.08 , clause( 92, [ ~( step( X, Y ) ), seq( succ( zero ), X, Y ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.42/1.08 ), ==>( 1, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 93, [ seq( succ( zero ), f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y,
% 0.42/1.08 a ) ), X ) ) ] )
% 0.42/1.08 , clause( 8, [ seq( succ( zero ), X, Y ), ~( step( X, Y ) ) ] )
% 0.42/1.08 , 1, clause( 7, [ step( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X
% 0.42/1.08 ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, f( f( X, Y ), f( Z, a ) ) ), :=( Y, f( f( Z
% 0.42/1.08 , f( Y, a ) ), X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.42/1.08 , Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 9, [ seq( succ( zero ), f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a
% 0.42/1.08 ) ), X ) ) ] )
% 0.42/1.08 , clause( 93, [ seq( succ( zero ), f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y
% 0.42/1.08 , a ) ), X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 94, [ step( f( f( f( X, Y ), f( Z, a ) ), T ), f( f( f( Z, f( Y, a
% 0.42/1.08 ) ), X ), T ) ) ] )
% 0.42/1.08 , clause( 3, [ step( f( X, Z ), f( Y, Z ) ), ~( step( X, Y ) ) ] )
% 0.42/1.08 , 1, clause( 7, [ step( f( f( X, Y ), f( Z, a ) ), f( f( Z, f( Y, a ) ), X
% 0.42/1.08 ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, f( f( X, Y ), f( Z, a ) ) ), :=( Y, f( f( Z
% 0.42/1.08 , f( Y, a ) ), X ) ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.42/1.08 , Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 10, [ step( f( f( f( X, Y ), f( Z, a ) ), T ), f( f( f( Z, f( Y, a
% 0.42/1.08 ) ), X ), T ) ) ] )
% 0.42/1.08 , clause( 94, [ step( f( f( f( X, Y ), f( Z, a ) ), T ), f( f( f( Z, f( Y,
% 0.42/1.08 a ) ), X ), T ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 95, [ ~( step( f( f( X, f( Y, a ) ), Z ), T ) ), seq( succ( succ(
% 0.42/1.08 zero ) ), f( f( Z, Y ), f( X, a ) ), T ) ] )
% 0.42/1.08 , clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 2, clause( 9, [ seq( succ( zero ), f( f( X, Y ), f( Z, a ) ), f( f( Z, f(
% 0.42/1.08 Y, a ) ), X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, succ( zero ) ), :=( Y, f( f( Z, Y ), f( X, a
% 0.42/1.08 ) ) ), :=( Z, f( f( X, f( Y, a ) ), Z ) ), :=( T, T )] ), substitution(
% 0.42/1.08 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 12, [ seq( succ( succ( zero ) ), f( f( Z, Y ), f( X, a ) ), T ),
% 0.42/1.08 ~( step( f( f( X, f( Y, a ) ), Z ), T ) ) ] )
% 0.42/1.08 , clause( 95, [ ~( step( f( f( X, f( Y, a ) ), Z ), T ) ), seq( succ( succ(
% 0.42/1.08 zero ) ), f( f( Z, Y ), f( X, a ) ), T ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 96, [ step( f( f( f( f( X, Y ), f( Z, a ) ), T ), U ), f( f( f( f(
% 0.42/1.08 Z, f( Y, a ) ), X ), T ), U ) ) ] )
% 0.42/1.08 , clause( 3, [ step( f( X, Z ), f( Y, Z ) ), ~( step( X, Y ) ) ] )
% 0.42/1.08 , 1, clause( 10, [ step( f( f( f( X, Y ), f( Z, a ) ), T ), f( f( f( Z, f(
% 0.42/1.08 Y, a ) ), X ), T ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, f( f( f( X, Y ), f( Z, a ) ), T ) ), :=( Y,
% 0.42/1.08 f( f( f( Z, f( Y, a ) ), X ), T ) ), :=( Z, U )] ), substitution( 1, [
% 0.42/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 14, [ step( f( f( f( f( X, Y ), f( Z, a ) ), T ), U ), f( f( f( f(
% 0.42/1.08 Z, f( Y, a ) ), X ), T ), U ) ) ] )
% 0.42/1.08 , clause( 96, [ step( f( f( f( f( X, Y ), f( Z, a ) ), T ), U ), f( f( f( f(
% 0.42/1.08 Z, f( Y, a ) ), X ), T ), U ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.42/1.08 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 97, [ seq( succ( succ( zero ) ), f( f( X, Y ), f( f( Z, T ), a ) )
% 0.42/1.08 , f( f( f( Y, f( T, a ) ), Z ), X ) ) ] )
% 0.42/1.08 , clause( 12, [ seq( succ( succ( zero ) ), f( f( Z, Y ), f( X, a ) ), T ),
% 0.42/1.08 ~( step( f( f( X, f( Y, a ) ), Z ), T ) ) ] )
% 0.42/1.08 , 1, clause( 10, [ step( f( f( f( X, Y ), f( Z, a ) ), T ), f( f( f( Z, f(
% 0.42/1.08 Y, a ) ), X ), T ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, f( Z, T ) ), :=( Y, Y ), :=( Z, X ), :=( T,
% 0.42/1.08 f( f( f( Y, f( T, a ) ), Z ), X ) )] ), substitution( 1, [ :=( X, Z ),
% 0.42/1.08 :=( Y, T ), :=( Z, Y ), :=( T, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 22, [ seq( succ( succ( zero ) ), f( f( X, Y ), f( f( Z, T ), a ) )
% 0.42/1.08 , f( f( f( Y, f( T, a ) ), Z ), X ) ) ] )
% 0.42/1.08 , clause( 97, [ seq( succ( succ( zero ) ), f( f( X, Y ), f( f( Z, T ), a )
% 0.42/1.08 ), f( f( f( Y, f( T, a ) ), Z ), X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 98, [ ~( step( f( f( f( X, f( Y, a ) ), Z ), T ), U ) ), seq( succ(
% 0.42/1.08 succ( succ( zero ) ) ), f( f( T, X ), f( f( Z, Y ), a ) ), U ) ] )
% 0.42/1.08 , clause( 6, [ ~( step( Z, T ) ), seq( succ( X ), Y, T ), ~( seq( X, Y, Z )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 2, clause( 22, [ seq( succ( succ( zero ) ), f( f( X, Y ), f( f( Z, T ), a
% 0.42/1.08 ) ), f( f( f( Y, f( T, a ) ), Z ), X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, succ( succ( zero ) ) ), :=( Y, f( f( T, X )
% 0.42/1.08 , f( f( Z, Y ), a ) ) ), :=( Z, f( f( f( X, f( Y, a ) ), Z ), T ) ), :=(
% 0.42/1.08 T, U )] ), substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T,
% 0.42/1.08 Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 28, [ seq( succ( succ( succ( zero ) ) ), f( f( T, X ), f( f( Z, Y )
% 0.42/1.08 , a ) ), U ), ~( step( f( f( f( X, f( Y, a ) ), Z ), T ), U ) ) ] )
% 0.42/1.08 , clause( 98, [ ~( step( f( f( f( X, f( Y, a ) ), Z ), T ), U ) ), seq(
% 0.42/1.08 succ( succ( succ( zero ) ) ), f( f( T, X ), f( f( Z, Y ), a ) ), U ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.42/1.08 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 99, [ seq( succ( succ( succ( zero ) ) ), f( f( X, f( Y, Z ) ), f( f(
% 0.42/1.08 T, U ), a ) ), f( f( f( f( U, f( Z, a ) ), Y ), T ), X ) ) ] )
% 0.42/1.08 , clause( 28, [ seq( succ( succ( succ( zero ) ) ), f( f( T, X ), f( f( Z, Y
% 0.42/1.08 ), a ) ), U ), ~( step( f( f( f( X, f( Y, a ) ), Z ), T ), U ) ) ] )
% 0.42/1.08 , 1, clause( 14, [ step( f( f( f( f( X, Y ), f( Z, a ) ), T ), U ), f( f( f(
% 0.42/1.08 f( Z, f( Y, a ) ), X ), T ), U ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, f( Y, Z ) ), :=( Y, U ), :=( Z, T ), :=( T,
% 0.42/1.08 X ), :=( U, f( f( f( f( U, f( Z, a ) ), Y ), T ), X ) )] ),
% 0.42/1.08 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, U ), :=( T, T ), :=( U
% 0.42/1.08 , X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 68, [ seq( succ( succ( succ( zero ) ) ), f( f( X, f( Y, Z ) ), f( f(
% 0.42/1.08 T, U ), a ) ), f( f( f( f( U, f( Z, a ) ), Y ), T ), X ) ) ] )
% 0.42/1.08 , clause( 99, [ seq( succ( succ( succ( zero ) ) ), f( f( X, f( Y, Z ) ), f(
% 0.42/1.08 f( T, U ), a ) ), f( f( f( f( U, f( Z, a ) ), Y ), T ), X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.42/1.08 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 100, [] )
% 0.42/1.08 , clause( 1, [ ~( seq( succ( succ( succ( zero ) ) ), X, X ) ) ] )
% 0.42/1.08 , 0, clause( 68, [ seq( succ( succ( succ( zero ) ) ), f( f( X, f( Y, Z ) )
% 0.42/1.08 , f( f( T, U ), a ) ), f( f( f( f( U, f( Z, a ) ), Y ), T ), X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, f( f( f( f( f( a, a ), f( a, a ) ), a ), f(
% 0.42/1.08 a, a ) ), f( f( f( a, a ), f( a, a ) ), a ) ) )] ), substitution( 1, [
% 0.42/1.08 :=( X, f( f( f( a, a ), f( a, a ) ), a ) ), :=( Y, a ), :=( Z, a ), :=( T
% 0.42/1.08 , f( a, a ) ), :=( U, f( a, a ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 82, [] )
% 0.42/1.08 , clause( 100, [] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 end.
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 Memory use:
% 0.42/1.08
% 0.42/1.08 space for terms: 2397
% 0.42/1.08 space for clauses: 14413
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 clauses generated: 84
% 0.42/1.08 clauses kept: 83
% 0.42/1.08 clauses selected: 40
% 0.42/1.08 clauses deleted: 0
% 0.42/1.08 clauses inuse deleted: 0
% 0.42/1.08
% 0.42/1.08 subsentry: 1
% 0.42/1.08 literals s-matched: 1
% 0.42/1.08 literals matched: 1
% 0.42/1.08 full subsumption: 0
% 0.42/1.08
% 0.42/1.08 checksum: 140566905
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksem ended
%------------------------------------------------------------------------------