TSTP Solution File: SYN557-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN557-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 02:52:57 EDT 2022
% Result : Unsatisfiable 0.69s 1.08s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN557-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jul 12 08:01:38 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.69/1.08 *** allocated 10000 integers for termspace/termends
% 0.69/1.08 *** allocated 10000 integers for clauses
% 0.69/1.08 *** allocated 10000 integers for justifications
% 0.69/1.08 Bliksem 1.12
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Automatic Strategy Selection
% 0.69/1.08
% 0.69/1.08 Clauses:
% 0.69/1.08 [
% 0.69/1.08 [ p2( X, X ) ],
% 0.69/1.08 [ p4( X, X ) ],
% 0.69/1.08 [ ~( p2( c6, f3( c8, f5( c9 ) ) ) ) ],
% 0.69/1.08 [ p2( f3( X, Y ), f3( Y, X ) ) ],
% 0.69/1.08 [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ],
% 0.69/1.08 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.69/1.08 [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.69/1.08 [ p2( X, Y ), ~( p2( f3( X, Z ), f3( Y, Z ) ) ) ],
% 0.69/1.08 [ p2( f3( X, Y ), f3( Z, Y ) ), ~( p2( X, Z ) ) ],
% 0.69/1.08 [ p2( f3( X, f3( Y, Z ) ), f3( Y, f3( X, Z ) ) ) ],
% 0.69/1.08 [ p2( f3( f3( X, Y ), Z ), f3( X, f3( Y, Z ) ) ) ],
% 0.69/1.08 [ p2( f3( c6, f5( c7 ) ), f3( c8, f3( f5( c7 ), f5( c9 ) ) ) ) ],
% 0.69/1.08 [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.69/1.08 ] .
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 percentage equality = 0.000000, percentage horn = 1.000000
% 0.69/1.08 This is a near-Horn, non-equality problem
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Options Used:
% 0.69/1.08
% 0.69/1.08 useres = 1
% 0.69/1.08 useparamod = 0
% 0.69/1.08 useeqrefl = 0
% 0.69/1.08 useeqfact = 0
% 0.69/1.08 usefactor = 1
% 0.69/1.08 usesimpsplitting = 0
% 0.69/1.08 usesimpdemod = 0
% 0.69/1.08 usesimpres = 4
% 0.69/1.08
% 0.69/1.08 resimpinuse = 1000
% 0.69/1.08 resimpclauses = 20000
% 0.69/1.08 substype = standard
% 0.69/1.08 backwardsubs = 1
% 0.69/1.08 selectoldest = 5
% 0.69/1.08
% 0.69/1.08 litorderings [0] = split
% 0.69/1.08 litorderings [1] = liftord
% 0.69/1.08
% 0.69/1.08 termordering = none
% 0.69/1.08
% 0.69/1.08 litapriori = 1
% 0.69/1.08 termapriori = 0
% 0.69/1.08 litaposteriori = 0
% 0.69/1.08 termaposteriori = 0
% 0.69/1.08 demodaposteriori = 0
% 0.69/1.08 ordereqreflfact = 0
% 0.69/1.08
% 0.69/1.08 litselect = negative
% 0.69/1.08
% 0.69/1.08 maxweight = 30000
% 0.69/1.08 maxdepth = 30000
% 0.69/1.08 maxlength = 115
% 0.69/1.08 maxnrvars = 195
% 0.69/1.08 excuselevel = 0
% 0.69/1.08 increasemaxweight = 0
% 0.69/1.08
% 0.69/1.08 maxselected = 10000000
% 0.69/1.08 maxnrclauses = 10000000
% 0.69/1.08
% 0.69/1.08 showgenerated = 0
% 0.69/1.08 showkept = 0
% 0.69/1.08 showselected = 0
% 0.69/1.08 showdeleted = 0
% 0.69/1.08 showresimp = 1
% 0.69/1.08 showstatus = 2000
% 0.69/1.08
% 0.69/1.08 prologoutput = 1
% 0.69/1.08 nrgoals = 5000000
% 0.69/1.08 totalproof = 1
% 0.69/1.08
% 0.69/1.08 Symbols occurring in the translation:
% 0.69/1.08
% 0.69/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.08 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 0.69/1.08 ! [4, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.69/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.08 p2 [40, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.69/1.08 p4 [42, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.69/1.08 c6 [43, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.69/1.08 c8 [44, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.08 c9 [45, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.08 f5 [46, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.69/1.08 f3 [47, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.69/1.08 c7 [62, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Starting Search:
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Bliksems!, er is een bewijs:
% 0.69/1.08 % SZS status Unsatisfiable
% 0.69/1.08 % SZS output start Refutation
% 0.69/1.08
% 0.69/1.08 clause( 0, [ p2( X, X ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 2, [ ~( p2( c6, f3( c8, f5( c9 ) ) ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 3, [ p2( f3( X, Y ), f3( Y, X ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 5, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 7, [ p2( X, Y ), ~( p2( f3( X, Z ), f3( Y, Z ) ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 8, [ p2( f3( X, Y ), f3( Z, Y ) ), ~( p2( X, Z ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 10, [ p2( f3( f3( X, Y ), Z ), f3( X, f3( Y, Z ) ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 11, [ p2( f3( c6, f5( c7 ) ), f3( c8, f3( f5( c7 ), f5( c9 ) ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 14, [ p2( Z, f3( Y, X ) ), ~( p2( f3( X, Y ), Z ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 17, [ p2( f3( f3( X, Y ), Z ), f3( f3( Y, X ), Z ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 21, [ p2( f3( f3( X, Y ), Z ), f3( Z, f3( Y, X ) ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 26, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, Y ), X ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 48, [ p2( f3( X, f3( Y, Z ) ), f3( Z, f3( X, Y ) ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 53, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, X ), Y ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 71, [ p2( f3( c8, f3( f5( c7 ), f5( c9 ) ) ), f3( c6, f5( c7 ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 84, [ p2( T, f3( f3( Z, Y ), X ) ), ~( p2( f3( X, f3( Y, Z ) ), T )
% 0.69/1.08 ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 183, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), f5( c7 ) ), c8 ) )
% 0.69/1.08 ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 189, [ p2( f3( f3( X, Y ), Z ), f3( f3( X, Z ), Y ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 223, [ p2( T, f3( f3( X, Z ), Y ) ), ~( p2( f3( f3( X, Y ), Z ), T
% 0.69/1.08 ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 229, [ p2( f3( f3( f5( c9 ), f5( c7 ) ), c8 ), f3( c6, f5( c7 ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 276, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), c8 ), f5( c7 ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 307, [ p2( c6, f3( f5( c9 ), c8 ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 315, [ p2( f3( f5( c9 ), c8 ), c6 ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 321, [] )
% 0.69/1.08 .
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 % SZS output end Refutation
% 0.69/1.08 found a proof!
% 0.69/1.08
% 0.69/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.08
% 0.69/1.08 initialclauses(
% 0.69/1.08 [ clause( 323, [ p2( X, X ) ] )
% 0.69/1.08 , clause( 324, [ p4( X, X ) ] )
% 0.69/1.08 , clause( 325, [ ~( p2( c6, f3( c8, f5( c9 ) ) ) ) ] )
% 0.69/1.08 , clause( 326, [ p2( f3( X, Y ), f3( Y, X ) ) ] )
% 0.69/1.08 , clause( 327, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.69/1.08 , clause( 328, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.69/1.08 , clause( 329, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.69/1.08 , clause( 330, [ p2( X, Y ), ~( p2( f3( X, Z ), f3( Y, Z ) ) ) ] )
% 0.69/1.08 , clause( 331, [ p2( f3( X, Y ), f3( Z, Y ) ), ~( p2( X, Z ) ) ] )
% 0.69/1.08 , clause( 332, [ p2( f3( X, f3( Y, Z ) ), f3( Y, f3( X, Z ) ) ) ] )
% 0.69/1.08 , clause( 333, [ p2( f3( f3( X, Y ), Z ), f3( X, f3( Y, Z ) ) ) ] )
% 0.69/1.08 , clause( 334, [ p2( f3( c6, f5( c7 ) ), f3( c8, f3( f5( c7 ), f5( c9 ) ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 335, [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T
% 0.69/1.08 ) ) ] )
% 0.69/1.08 ] ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 0, [ p2( X, X ) ] )
% 0.69/1.08 , clause( 323, [ p2( X, X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 2, [ ~( p2( c6, f3( c8, f5( c9 ) ) ) ) ] )
% 0.69/1.08 , clause( 325, [ ~( p2( c6, f3( c8, f5( c9 ) ) ) ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 3, [ p2( f3( X, Y ), f3( Y, X ) ) ] )
% 0.69/1.08 , clause( 326, [ p2( f3( X, Y ), f3( Y, X ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 5, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.69/1.08 , clause( 328, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 7, [ p2( X, Y ), ~( p2( f3( X, Z ), f3( Y, Z ) ) ) ] )
% 0.69/1.08 , clause( 330, [ p2( X, Y ), ~( p2( f3( X, Z ), f3( Y, Z ) ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 8, [ p2( f3( X, Y ), f3( Z, Y ) ), ~( p2( X, Z ) ) ] )
% 0.69/1.08 , clause( 331, [ p2( f3( X, Y ), f3( Z, Y ) ), ~( p2( X, Z ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 10, [ p2( f3( f3( X, Y ), Z ), f3( X, f3( Y, Z ) ) ) ] )
% 0.69/1.08 , clause( 333, [ p2( f3( f3( X, Y ), Z ), f3( X, f3( Y, Z ) ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 11, [ p2( f3( c6, f5( c7 ) ), f3( c8, f3( f5( c7 ), f5( c9 ) ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 334, [ p2( f3( c6, f5( c7 ) ), f3( c8, f3( f5( c7 ), f5( c9 ) ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 346, [ ~( p2( f3( X, Y ), Z ) ), p2( Z, f3( Y, X ) ) ] )
% 0.69/1.08 , clause( 5, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.69/1.08 , 2, clause( 3, [ p2( f3( X, Y ), f3( Y, X ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, f3( Y, X ) ), :=( Z, f3( X, Y )
% 0.69/1.08 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 14, [ p2( Z, f3( Y, X ) ), ~( p2( f3( X, Y ), Z ) ) ] )
% 0.69/1.08 , clause( 346, [ ~( p2( f3( X, Y ), Z ) ), p2( Z, f3( Y, X ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 348, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.69/1.08 , clause( 5, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.69/1.08 , 2, clause( 0, [ p2( X, X ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.69/1.08 substitution( 1, [ :=( X, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.08 , clause( 348, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.69/1.08 ), ==>( 1, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 349, [ p2( f3( f3( X, Y ), Z ), f3( f3( Y, X ), Z ) ) ] )
% 0.69/1.08 , clause( 8, [ p2( f3( X, Y ), f3( Z, Y ) ), ~( p2( X, Z ) ) ] )
% 0.69/1.08 , 1, clause( 3, [ p2( f3( X, Y ), f3( Y, X ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, f3( X, Y ) ), :=( Y, Z ), :=( Z, f3( Y, X )
% 0.69/1.08 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 17, [ p2( f3( f3( X, Y ), Z ), f3( f3( Y, X ), Z ) ) ] )
% 0.69/1.08 , clause( 349, [ p2( f3( f3( X, Y ), Z ), f3( f3( Y, X ), Z ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 350, [ p2( f3( f3( X, Y ), Z ), f3( Z, f3( Y, X ) ) ) ] )
% 0.69/1.08 , clause( 14, [ p2( Z, f3( Y, X ) ), ~( p2( f3( X, Y ), Z ) ) ] )
% 0.69/1.08 , 1, clause( 17, [ p2( f3( f3( X, Y ), Z ), f3( f3( Y, X ), Z ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, f3( Y, X ) ), :=( Y, Z ), :=( Z, f3( f3( X,
% 0.69/1.08 Y ), Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 21, [ p2( f3( f3( X, Y ), Z ), f3( Z, f3( Y, X ) ) ) ] )
% 0.69/1.08 , clause( 350, [ p2( f3( f3( X, Y ), Z ), f3( Z, f3( Y, X ) ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 351, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, Y ), X ) ) ] )
% 0.69/1.08 , clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.08 , 1, clause( 21, [ p2( f3( f3( X, Y ), Z ), f3( Z, f3( Y, X ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, f3( f3( Z, Y ), X ) ), :=( Y, f3( X, f3( Y,
% 0.69/1.08 Z ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 26, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, Y ), X ) ) ] )
% 0.69/1.08 , clause( 351, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, Y ), X ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 352, [ p2( f3( X, f3( Y, Z ) ), f3( Z, f3( X, Y ) ) ) ] )
% 0.69/1.08 , clause( 14, [ p2( Z, f3( Y, X ) ), ~( p2( f3( X, Y ), Z ) ) ] )
% 0.69/1.08 , 1, clause( 10, [ p2( f3( f3( X, Y ), Z ), f3( X, f3( Y, Z ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, f3( X, Y ) ), :=( Y, Z ), :=( Z, f3( X, f3(
% 0.69/1.08 Y, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 48, [ p2( f3( X, f3( Y, Z ) ), f3( Z, f3( X, Y ) ) ) ] )
% 0.69/1.08 , clause( 352, [ p2( f3( X, f3( Y, Z ) ), f3( Z, f3( X, Y ) ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 353, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, X ), Y ) ) ] )
% 0.69/1.08 , clause( 14, [ p2( Z, f3( Y, X ) ), ~( p2( f3( X, Y ), Z ) ) ] )
% 0.69/1.08 , 1, clause( 48, [ p2( f3( X, f3( Y, Z ) ), f3( Z, f3( X, Y ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, f3( Z, X ) ), :=( Z, f3( X, f3(
% 0.69/1.08 Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 53, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, X ), Y ) ) ] )
% 0.69/1.08 , clause( 353, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, X ), Y ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 354, [ p2( f3( c8, f3( f5( c7 ), f5( c9 ) ) ), f3( c6, f5( c7 ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.08 , 1, clause( 11, [ p2( f3( c6, f5( c7 ) ), f3( c8, f3( f5( c7 ), f5( c9 ) )
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, f3( c6, f5( c7 ) ) ), :=( Y, f3( c8, f3( f5(
% 0.69/1.08 c7 ), f5( c9 ) ) ) )] ), substitution( 1, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 71, [ p2( f3( c8, f3( f5( c7 ), f5( c9 ) ) ), f3( c6, f5( c7 ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 354, [ p2( f3( c8, f3( f5( c7 ), f5( c9 ) ) ), f3( c6, f5( c7 ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 356, [ ~( p2( f3( X, f3( Y, Z ) ), T ) ), p2( T, f3( f3( Z, Y ), X
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 5, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.69/1.08 , 2, clause( 26, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, Y ), X ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, f3( f3( Z, Y ), X ) ), :=( Z, f3(
% 0.69/1.08 X, f3( Y, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 0.69/1.08 )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 84, [ p2( T, f3( f3( Z, Y ), X ) ), ~( p2( f3( X, f3( Y, Z ) ), T )
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 356, [ ~( p2( f3( X, f3( Y, Z ) ), T ) ), p2( T, f3( f3( Z, Y ),
% 0.69/1.08 X ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 357, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), f5( c7 ) ), c8 ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 84, [ p2( T, f3( f3( Z, Y ), X ) ), ~( p2( f3( X, f3( Y, Z ) ), T
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , 1, clause( 71, [ p2( f3( c8, f3( f5( c7 ), f5( c9 ) ) ), f3( c6, f5( c7 )
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, c8 ), :=( Y, f5( c7 ) ), :=( Z, f5( c9 ) ),
% 0.69/1.08 :=( T, f3( c6, f5( c7 ) ) )] ), substitution( 1, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 183, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), f5( c7 ) ), c8 ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 357, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), f5( c7 ) ), c8 )
% 0.69/1.08 ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 358, [ p2( f3( f3( X, Y ), Z ), f3( f3( X, Z ), Y ) ) ] )
% 0.69/1.08 , clause( 84, [ p2( T, f3( f3( Z, Y ), X ) ), ~( p2( f3( X, f3( Y, Z ) ), T
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , 1, clause( 53, [ p2( f3( X, f3( Y, Z ) ), f3( f3( Z, X ), Y ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, f3( f3(
% 0.69/1.08 X, Y ), Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 189, [ p2( f3( f3( X, Y ), Z ), f3( f3( X, Z ), Y ) ) ] )
% 0.69/1.08 , clause( 358, [ p2( f3( f3( X, Y ), Z ), f3( f3( X, Z ), Y ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 360, [ ~( p2( f3( f3( X, Y ), Z ), T ) ), p2( T, f3( f3( X, Z ), Y
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 5, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.69/1.08 , 2, clause( 189, [ p2( f3( f3( X, Y ), Z ), f3( f3( X, Z ), Y ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, f3( f3( X, Z ), Y ) ), :=( Z, f3(
% 0.69/1.08 f3( X, Y ), Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 0.69/1.08 )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 223, [ p2( T, f3( f3( X, Z ), Y ) ), ~( p2( f3( f3( X, Y ), Z ), T
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 360, [ ~( p2( f3( f3( X, Y ), Z ), T ) ), p2( T, f3( f3( X, Z ),
% 0.69/1.08 Y ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 361, [ p2( f3( f3( f5( c9 ), f5( c7 ) ), c8 ), f3( c6, f5( c7 ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.08 , 1, clause( 183, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), f5( c7 ) ),
% 0.69/1.08 c8 ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, f3( c6, f5( c7 ) ) ), :=( Y, f3( f3( f5( c9
% 0.69/1.08 ), f5( c7 ) ), c8 ) )] ), substitution( 1, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 229, [ p2( f3( f3( f5( c9 ), f5( c7 ) ), c8 ), f3( c6, f5( c7 ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 361, [ p2( f3( f3( f5( c9 ), f5( c7 ) ), c8 ), f3( c6, f5( c7 ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 362, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), c8 ), f5( c7 ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 223, [ p2( T, f3( f3( X, Z ), Y ) ), ~( p2( f3( f3( X, Y ), Z ),
% 0.69/1.08 T ) ) ] )
% 0.69/1.08 , 1, clause( 229, [ p2( f3( f3( f5( c9 ), f5( c7 ) ), c8 ), f3( c6, f5( c7
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, f5( c9 ) ), :=( Y, f5( c7 ) ), :=( Z, c8 ),
% 0.69/1.08 :=( T, f3( c6, f5( c7 ) ) )] ), substitution( 1, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 276, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), c8 ), f5( c7 ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 362, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), c8 ), f5( c7 ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 363, [ p2( c6, f3( f5( c9 ), c8 ) ) ] )
% 0.69/1.08 , clause( 7, [ p2( X, Y ), ~( p2( f3( X, Z ), f3( Y, Z ) ) ) ] )
% 0.69/1.08 , 1, clause( 276, [ p2( f3( c6, f5( c7 ) ), f3( f3( f5( c9 ), c8 ), f5( c7
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, c6 ), :=( Y, f3( f5( c9 ), c8 ) ), :=( Z, f5(
% 0.69/1.08 c7 ) )] ), substitution( 1, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 307, [ p2( c6, f3( f5( c9 ), c8 ) ) ] )
% 0.69/1.08 , clause( 363, [ p2( c6, f3( f5( c9 ), c8 ) ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 364, [ p2( f3( f5( c9 ), c8 ), c6 ) ] )
% 0.69/1.08 , clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.08 , 1, clause( 307, [ p2( c6, f3( f5( c9 ), c8 ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, c6 ), :=( Y, f3( f5( c9 ), c8 ) )] ),
% 0.69/1.08 substitution( 1, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.09 clause( 315, [ p2( f3( f5( c9 ), c8 ), c6 ) ] )
% 0.69/1.09 , clause( 364, [ p2( f3( f5( c9 ), c8 ), c6 ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 365, [ p2( c6, f3( c8, f5( c9 ) ) ) ] )
% 0.69/1.09 , clause( 14, [ p2( Z, f3( Y, X ) ), ~( p2( f3( X, Y ), Z ) ) ] )
% 0.69/1.09 , 1, clause( 315, [ p2( f3( f5( c9 ), c8 ), c6 ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, f5( c9 ) ), :=( Y, c8 ), :=( Z, c6 )] ),
% 0.69/1.09 substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 366, [] )
% 0.69/1.09 , clause( 2, [ ~( p2( c6, f3( c8, f5( c9 ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 365, [ p2( c6, f3( c8, f5( c9 ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 321, [] )
% 0.69/1.09 , clause( 366, [] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 end.
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 Memory use:
% 0.69/1.09
% 0.69/1.09 space for terms: 5973
% 0.69/1.09 space for clauses: 28784
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 clauses generated: 473
% 0.69/1.09 clauses kept: 322
% 0.69/1.09 clauses selected: 64
% 0.69/1.09 clauses deleted: 0
% 0.69/1.09 clauses inuse deleted: 0
% 0.69/1.09
% 0.69/1.09 subsentry: 620
% 0.69/1.09 literals s-matched: 455
% 0.69/1.09 literals matched: 455
% 0.69/1.09 full subsumption: 6
% 0.69/1.09
% 0.69/1.09 checksum: 107884724
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksem ended
%------------------------------------------------------------------------------