TSTP Solution File: SYN553-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN553-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 02:52:55 EDT 2022
% Result : Unsatisfiable 0.42s 1.05s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN553-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.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 : Mon Jul 11 14:02:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.05 *** allocated 10000 integers for termspace/termends
% 0.42/1.05 *** allocated 10000 integers for clauses
% 0.42/1.05 *** allocated 10000 integers for justifications
% 0.42/1.05 Bliksem 1.12
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Automatic Strategy Selection
% 0.42/1.05
% 0.42/1.05 Clauses:
% 0.42/1.05 [
% 0.42/1.05 [ p2( X, X ) ],
% 0.42/1.05 [ p2( c3, c4 ) ],
% 0.42/1.05 [ ~( p2( c4, f5( f6( c7 ) ) ) ) ],
% 0.42/1.05 [ ~( p2( c3, f5( f6( c7 ) ) ) ) ],
% 0.42/1.05 [ p2( f8( X, Y ), f8( Y, X ) ) ],
% 0.42/1.05 [ p2( X, Y ), ~( p2( X, Z ) ), ~( p2( Z, Y ) ) ],
% 0.42/1.05 [ p2( f8( X, f8( Y, Z ) ), f8( f8( X, Y ), Z ) ) ],
% 0.42/1.05 [ p2( f8( X, Y ), f8( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.42/1.05 [ ~( p2( f8( f8( f9( c4 ), c4 ), f9( c3 ) ), f8( f9( c4 ), f8( f9( c3 )
% 0.42/1.05 , c4 ) ) ) ) ]
% 0.42/1.05 ] .
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 percentage equality = 0.000000, percentage horn = 1.000000
% 0.42/1.05 This is a near-Horn, non-equality problem
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Options Used:
% 0.42/1.05
% 0.42/1.05 useres = 1
% 0.42/1.05 useparamod = 0
% 0.42/1.05 useeqrefl = 0
% 0.42/1.05 useeqfact = 0
% 0.42/1.05 usefactor = 1
% 0.42/1.05 usesimpsplitting = 0
% 0.42/1.05 usesimpdemod = 0
% 0.42/1.05 usesimpres = 4
% 0.42/1.05
% 0.42/1.05 resimpinuse = 1000
% 0.42/1.05 resimpclauses = 20000
% 0.42/1.05 substype = standard
% 0.42/1.05 backwardsubs = 1
% 0.42/1.05 selectoldest = 5
% 0.42/1.05
% 0.42/1.05 litorderings [0] = split
% 0.42/1.05 litorderings [1] = liftord
% 0.42/1.05
% 0.42/1.05 termordering = none
% 0.42/1.05
% 0.42/1.05 litapriori = 1
% 0.42/1.05 termapriori = 0
% 0.42/1.05 litaposteriori = 0
% 0.42/1.05 termaposteriori = 0
% 0.42/1.05 demodaposteriori = 0
% 0.42/1.05 ordereqreflfact = 0
% 0.42/1.05
% 0.42/1.05 litselect = negative
% 0.42/1.05
% 0.42/1.05 maxweight = 30000
% 0.42/1.05 maxdepth = 30000
% 0.42/1.05 maxlength = 115
% 0.42/1.05 maxnrvars = 195
% 0.42/1.05 excuselevel = 0
% 0.42/1.05 increasemaxweight = 0
% 0.42/1.05
% 0.42/1.05 maxselected = 10000000
% 0.42/1.05 maxnrclauses = 10000000
% 0.42/1.05
% 0.42/1.05 showgenerated = 0
% 0.42/1.05 showkept = 0
% 0.42/1.05 showselected = 0
% 0.42/1.05 showdeleted = 0
% 0.42/1.05 showresimp = 1
% 0.42/1.05 showstatus = 2000
% 0.42/1.05
% 0.42/1.05 prologoutput = 1
% 0.42/1.05 nrgoals = 5000000
% 0.42/1.05 totalproof = 1
% 0.42/1.05
% 0.42/1.05 Symbols occurring in the translation:
% 0.42/1.05
% 0.42/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.05 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.42/1.05 ! [4, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.42/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.05 p2 [40, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.42/1.05 c3 [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/1.05 c4 [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.42/1.05 c7 [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.05 f6 [44, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.42/1.05 f5 [45, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.42/1.05 f8 [48, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.42/1.05 f9 [59, 1] (w:1, o:32, a:1, s:1, b:0).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Starting Search:
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Bliksems!, er is een bewijs:
% 0.42/1.05 % SZS status Unsatisfiable
% 0.42/1.05 % SZS output start Refutation
% 0.42/1.05
% 0.42/1.05 clause( 0, [ p2( X, X ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 4, [ p2( f8( X, Y ), f8( Y, X ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 5, [ ~( p2( X, Z ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 6, [ p2( f8( X, f8( Y, Z ) ), f8( f8( X, Y ), Z ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 7, [ ~( p2( X, Z ) ), p2( f8( X, Y ), f8( Z, T ) ), ~( p2( Y, T ) )
% 0.42/1.05 ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 8, [ ~( p2( f8( f8( f9( c4 ), c4 ), f9( c3 ) ), f8( f9( c4 ), f8(
% 0.42/1.05 f9( c3 ), c4 ) ) ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 10, [ p2( X, f8( Z, Y ) ), ~( p2( X, f8( Y, Z ) ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 18, [ p2( X, f8( f8( Y, Z ), T ) ), ~( p2( X, f8( Y, f8( Z, T ) ) )
% 0.42/1.05 ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 26, [ p2( f8( X, Z ), f8( Y, Z ) ), ~( p2( X, Y ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 30, [ p2( f8( f8( X, Y ), Z ), f8( f8( Y, X ), Z ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 76, [ p2( f8( f8( X, Y ), Z ), f8( Z, f8( Y, X ) ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 120, [ p2( f8( f8( X, Y ), Z ), f8( f8( Z, Y ), X ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 136, [ p2( f8( f8( X, Y ), Z ), f8( X, f8( Z, Y ) ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 140, [] )
% 0.42/1.05 .
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 % SZS output end Refutation
% 0.42/1.05 found a proof!
% 0.42/1.05
% 0.42/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.05
% 0.42/1.05 initialclauses(
% 0.42/1.05 [ clause( 142, [ p2( X, X ) ] )
% 0.42/1.05 , clause( 143, [ p2( c3, c4 ) ] )
% 0.42/1.05 , clause( 144, [ ~( p2( c4, f5( f6( c7 ) ) ) ) ] )
% 0.42/1.05 , clause( 145, [ ~( p2( c3, f5( f6( c7 ) ) ) ) ] )
% 0.42/1.05 , clause( 146, [ p2( f8( X, Y ), f8( Y, X ) ) ] )
% 0.42/1.05 , clause( 147, [ p2( X, Y ), ~( p2( X, Z ) ), ~( p2( Z, Y ) ) ] )
% 0.42/1.05 , clause( 148, [ p2( f8( X, f8( Y, Z ) ), f8( f8( X, Y ), Z ) ) ] )
% 0.42/1.05 , clause( 149, [ p2( f8( X, Y ), f8( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T
% 0.42/1.05 ) ) ] )
% 0.42/1.05 , clause( 150, [ ~( p2( f8( f8( f9( c4 ), c4 ), f9( c3 ) ), f8( f9( c4 ),
% 0.42/1.05 f8( f9( c3 ), c4 ) ) ) ) ] )
% 0.42/1.05 ] ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 0, [ p2( X, X ) ] )
% 0.42/1.05 , clause( 142, [ p2( X, X ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 4, [ p2( f8( X, Y ), f8( Y, X ) ) ] )
% 0.42/1.05 , clause( 146, [ p2( f8( X, Y ), f8( Y, X ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.05 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 5, [ ~( p2( X, Z ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.42/1.05 , clause( 147, [ p2( X, Y ), ~( p2( X, Z ) ), ~( p2( Z, Y ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 6, [ p2( f8( X, f8( Y, Z ) ), f8( f8( X, Y ), Z ) ) ] )
% 0.42/1.05 , clause( 148, [ p2( f8( X, f8( Y, Z ) ), f8( f8( X, Y ), Z ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 7, [ ~( p2( X, Z ) ), p2( f8( X, Y ), f8( Z, T ) ), ~( p2( Y, T ) )
% 0.42/1.05 ] )
% 0.42/1.05 , clause( 149, [ p2( f8( X, Y ), f8( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T
% 0.42/1.05 ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 8, [ ~( p2( f8( f8( f9( c4 ), c4 ), f9( c3 ) ), f8( f9( c4 ), f8(
% 0.42/1.05 f9( c3 ), c4 ) ) ) ) ] )
% 0.42/1.05 , clause( 150, [ ~( p2( f8( f8( f9( c4 ), c4 ), f9( c3 ) ), f8( f9( c4 ),
% 0.42/1.05 f8( f9( c3 ), c4 ) ) ) ) ] )
% 0.42/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 158, [ ~( p2( X, f8( Y, Z ) ) ), p2( X, f8( Z, Y ) ) ] )
% 0.42/1.05 , clause( 5, [ ~( p2( X, Z ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.42/1.05 , 2, clause( 4, [ p2( f8( X, Y ), f8( Y, X ) ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, f8( Z, Y ) ), :=( Z, f8( Y, Z )
% 0.42/1.05 )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 10, [ p2( X, f8( Z, Y ) ), ~( p2( X, f8( Y, Z ) ) ) ] )
% 0.42/1.05 , clause( 158, [ ~( p2( X, f8( Y, Z ) ) ), p2( X, f8( Z, Y ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 160, [ ~( p2( X, f8( Y, f8( Z, T ) ) ) ), p2( X, f8( f8( Y, Z ), T
% 0.42/1.05 ) ) ] )
% 0.42/1.05 , clause( 5, [ ~( p2( X, Z ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.42/1.05 , 2, clause( 6, [ p2( f8( X, f8( Y, Z ) ), f8( f8( X, Y ), Z ) ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, f8( f8( Y, Z ), T ) ), :=( Z, f8(
% 0.42/1.05 Y, f8( Z, T ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, T
% 0.42/1.05 )] )).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 18, [ p2( X, f8( f8( Y, Z ), T ) ), ~( p2( X, f8( Y, f8( Z, T ) ) )
% 0.42/1.05 ) ] )
% 0.42/1.05 , clause( 160, [ ~( p2( X, f8( Y, f8( Z, T ) ) ) ), p2( X, f8( f8( Y, Z ),
% 0.42/1.05 T ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 162, [ ~( p2( X, Y ) ), p2( f8( X, Z ), f8( Y, Z ) ) ] )
% 0.42/1.05 , clause( 7, [ ~( p2( X, Z ) ), p2( f8( X, Y ), f8( Z, T ) ), ~( p2( Y, T )
% 0.42/1.05 ) ] )
% 0.42/1.05 , 2, clause( 0, [ p2( X, X ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, Z )] ),
% 0.42/1.05 substitution( 1, [ :=( X, Z )] )).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 26, [ p2( f8( X, Z ), f8( Y, Z ) ), ~( p2( X, Y ) ) ] )
% 0.42/1.05 , clause( 162, [ ~( p2( X, Y ) ), p2( f8( X, Z ), f8( Y, Z ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 163, [ p2( f8( f8( X, Y ), Z ), f8( f8( Y, X ), Z ) ) ] )
% 0.42/1.05 , clause( 26, [ p2( f8( X, Z ), f8( Y, Z ) ), ~( p2( X, Y ) ) ] )
% 0.42/1.05 , 1, clause( 4, [ p2( f8( X, Y ), f8( Y, X ) ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, f8( X, Y ) ), :=( Y, f8( Y, X ) ), :=( Z, Z
% 0.42/1.05 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 30, [ p2( f8( f8( X, Y ), Z ), f8( f8( Y, X ), Z ) ) ] )
% 0.42/1.05 , clause( 163, [ p2( f8( f8( X, Y ), Z ), f8( f8( Y, X ), Z ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 164, [ p2( f8( f8( X, Y ), Z ), f8( Z, f8( Y, X ) ) ) ] )
% 0.42/1.05 , clause( 10, [ p2( X, f8( Z, Y ) ), ~( p2( X, f8( Y, Z ) ) ) ] )
% 0.42/1.05 , 1, clause( 30, [ p2( f8( f8( X, Y ), Z ), f8( f8( Y, X ), Z ) ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, f8( f8( X, Y ), Z ) ), :=( Y, f8( Y, X ) ),
% 0.42/1.05 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.42/1.05 ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 76, [ p2( f8( f8( X, Y ), Z ), f8( Z, f8( Y, X ) ) ) ] )
% 0.42/1.05 , clause( 164, [ p2( f8( f8( X, Y ), Z ), f8( Z, f8( Y, X ) ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 165, [ p2( f8( f8( X, Y ), Z ), f8( f8( Z, Y ), X ) ) ] )
% 0.42/1.05 , clause( 18, [ p2( X, f8( f8( Y, Z ), T ) ), ~( p2( X, f8( Y, f8( Z, T ) )
% 0.42/1.05 ) ) ] )
% 0.42/1.05 , 1, clause( 76, [ p2( f8( f8( X, Y ), Z ), f8( Z, f8( Y, X ) ) ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, f8( f8( X, Y ), Z ) ), :=( Y, Z ), :=( Z, Y
% 0.42/1.05 ), :=( T, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.42/1.05 ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 120, [ p2( f8( f8( X, Y ), Z ), f8( f8( Z, Y ), X ) ) ] )
% 0.42/1.05 , clause( 165, [ p2( f8( f8( X, Y ), Z ), f8( f8( Z, Y ), X ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 166, [ p2( f8( f8( X, Y ), Z ), f8( X, f8( Z, Y ) ) ) ] )
% 0.42/1.05 , clause( 10, [ p2( X, f8( Z, Y ) ), ~( p2( X, f8( Y, Z ) ) ) ] )
% 0.42/1.05 , 1, clause( 120, [ p2( f8( f8( X, Y ), Z ), f8( f8( Z, Y ), X ) ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, f8( f8( X, Y ), Z ) ), :=( Y, f8( Z, Y ) ),
% 0.42/1.05 :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.42/1.05 ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 136, [ p2( f8( f8( X, Y ), Z ), f8( X, f8( Z, Y ) ) ) ] )
% 0.42/1.05 , clause( 166, [ p2( f8( f8( X, Y ), Z ), f8( X, f8( Z, Y ) ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 167, [] )
% 0.42/1.05 , clause( 8, [ ~( p2( f8( f8( f9( c4 ), c4 ), f9( c3 ) ), f8( f9( c4 ), f8(
% 0.42/1.05 f9( c3 ), c4 ) ) ) ) ] )
% 0.42/1.05 , 0, clause( 136, [ p2( f8( f8( X, Y ), Z ), f8( X, f8( Z, Y ) ) ) ] )
% 0.42/1.05 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, f9( c4 ) ), :=( Y, c4
% 0.42/1.05 ), :=( Z, f9( c3 ) )] )).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 140, [] )
% 0.42/1.05 , clause( 167, [] )
% 0.42/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 end.
% 0.42/1.05
% 0.42/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.05
% 0.42/1.05 Memory use:
% 0.42/1.05
% 0.42/1.05 space for terms: 2326
% 0.42/1.05 space for clauses: 12952
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 clauses generated: 190
% 0.42/1.05 clauses kept: 141
% 0.42/1.05 clauses selected: 38
% 0.42/1.05 clauses deleted: 0
% 0.42/1.05 clauses inuse deleted: 0
% 0.42/1.05
% 0.42/1.05 subsentry: 174
% 0.42/1.05 literals s-matched: 94
% 0.42/1.05 literals matched: 93
% 0.42/1.05 full subsumption: 4
% 0.42/1.05
% 0.42/1.05 checksum: 840191637
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Bliksem ended
%------------------------------------------------------------------------------