TSTP Solution File: SYN334-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 21 02:49:44 EDT 2022
% Result : Unsatisfiable 0.70s 1.08s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.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 : Tue Jul 12 04:15:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08 [
% 0.70/1.08 [ ~( f( X, Y ) ), f( X, z( X, Y ) ), ~( g( Y, z( X, Y ) ) ) ],
% 0.70/1.08 [ ~( f( X, Y ) ), ~( f( X, z( X, Y ) ) ), g( Y, z( X, Y ) ) ],
% 0.70/1.08 [ ~( f( z( X, Y ), z( X, Y ) ) ), g( z( X, Y ), z( X, Y ) ), ~( f( X, Y
% 0.70/1.08 ) ) ],
% 0.70/1.08 [ f( z( X, Y ), z( X, Y ) ), f( X, Y ) ],
% 0.70/1.08 [ ~( g( z( X, Y ), z( X, Y ) ) ), f( X, Y ) ],
% 0.70/1.08 [ g( X, Y ), g( z( X, Y ), z( X, Y ) ) ],
% 0.70/1.08 [ ~( g( X, Y ) ), ~( g( z( X, Y ), z( X, Y ) ) ) ]
% 0.70/1.08 ] .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 percentage equality = 0.000000, percentage horn = 0.714286
% 0.70/1.08 This a non-horn, non-equality problem
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Options Used:
% 0.70/1.08
% 0.70/1.08 useres = 1
% 0.70/1.08 useparamod = 0
% 0.70/1.08 useeqrefl = 0
% 0.70/1.08 useeqfact = 0
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 0
% 0.70/1.08 usesimpres = 3
% 0.70/1.08
% 0.70/1.08 resimpinuse = 1000
% 0.70/1.08 resimpclauses = 20000
% 0.70/1.08 substype = standard
% 0.70/1.08 backwardsubs = 1
% 0.70/1.08 selectoldest = 5
% 0.70/1.08
% 0.70/1.08 litorderings [0] = split
% 0.70/1.08 litorderings [1] = liftord
% 0.70/1.08
% 0.70/1.08 termordering = none
% 0.70/1.08
% 0.70/1.08 litapriori = 1
% 0.70/1.08 termapriori = 0
% 0.70/1.08 litaposteriori = 0
% 0.70/1.08 termaposteriori = 0
% 0.70/1.08 demodaposteriori = 0
% 0.70/1.08 ordereqreflfact = 0
% 0.70/1.08
% 0.70/1.08 litselect = none
% 0.70/1.08
% 0.70/1.08 maxweight = 15
% 0.70/1.08 maxdepth = 30000
% 0.70/1.08 maxlength = 115
% 0.70/1.08 maxnrvars = 195
% 0.70/1.08 excuselevel = 1
% 0.70/1.08 increasemaxweight = 1
% 0.70/1.08
% 0.70/1.08 maxselected = 10000000
% 0.70/1.08 maxnrclauses = 10000000
% 0.70/1.08
% 0.70/1.08 showgenerated = 0
% 0.70/1.08 showkept = 0
% 0.70/1.08 showselected = 0
% 0.70/1.08 showdeleted = 0
% 0.70/1.08 showresimp = 1
% 0.70/1.08 showstatus = 2000
% 0.70/1.08
% 0.70/1.08 prologoutput = 1
% 0.70/1.08 nrgoals = 5000000
% 0.70/1.08 totalproof = 1
% 0.70/1.08
% 0.70/1.08 Symbols occurring in the translation:
% 0.70/1.08
% 0.70/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.08 . [1, 2] (w:1, o:16, a:1, s:1, b:0),
% 0.70/1.08 ! [4, 1] (w:0, o:11, a:1, s:1, b:0),
% 0.70/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 f [41, 2] (w:1, o:41, a:1, s:1, b:0),
% 0.70/1.08 z [42, 2] (w:1, o:42, a:1, s:1, b:0),
% 0.70/1.08 g [43, 2] (w:1, o:43, a:1, s:1, b:0).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Starting Search:
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksems!, er is een bewijs:
% 0.70/1.08 % SZS status Unsatisfiable
% 0.70/1.08 % SZS output start Refutation
% 0.70/1.08
% 0.70/1.08 clause( 0, [ ~( f( X, Y ) ), f( X, z( X, Y ) ), ~( g( Y, z( X, Y ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 1, [ ~( f( X, Y ) ), ~( f( X, z( X, Y ) ) ), g( Y, z( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 2, [ ~( f( z( X, Y ), z( X, Y ) ) ), ~( f( X, Y ) ), g( z( X, Y ),
% 0.70/1.08 z( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 4, [ f( X, Y ), ~( g( z( X, Y ), z( X, Y ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 5, [ g( z( X, Y ), z( X, Y ) ), g( X, Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 6, [ ~( g( z( X, Y ), z( X, Y ) ) ), ~( g( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 7, [ ~( g( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y ) ) ) )
% 0.70/1.08 , g( X, Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 9, [ f( X, Y ), g( X, Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 12, [ f( X, z( X, Y ) ), f( Y, z( X, Y ) ), ~( f( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 14, [ ~( f( X, X ) ), f( X, z( X, X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 18, [ ~( f( X, Y ) ), g( z( X, Y ), z( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 19, [ ~( f( X, Y ) ), ~( g( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 21, [ ~( f( Y, X ) ), ~( f( Y, z( Y, X ) ) ), ~( f( X, z( Y, X ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 23, [ ~( f( X, X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 25, [ g( X, Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 27, [ ~( g( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 28, [] )
% 0.70/1.08 .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 % SZS output end Refutation
% 0.70/1.08 found a proof!
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 initialclauses(
% 0.70/1.08 [ clause( 30, [ ~( f( X, Y ) ), f( X, z( X, Y ) ), ~( g( Y, z( X, Y ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 31, [ ~( f( X, Y ) ), ~( f( X, z( X, Y ) ) ), g( Y, z( X, Y ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 32, [ ~( f( z( X, Y ), z( X, Y ) ) ), g( z( X, Y ), z( X, Y ) ),
% 0.70/1.08 ~( f( X, Y ) ) ] )
% 0.70/1.08 , clause( 33, [ f( z( X, Y ), z( X, Y ) ), f( X, Y ) ] )
% 0.70/1.08 , clause( 34, [ ~( g( z( X, Y ), z( X, Y ) ) ), f( X, Y ) ] )
% 0.70/1.08 , clause( 35, [ g( X, Y ), g( z( X, Y ), z( X, Y ) ) ] )
% 0.70/1.08 , clause( 36, [ ~( g( X, Y ) ), ~( g( z( X, Y ), z( X, Y ) ) ) ] )
% 0.70/1.08 ] ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 0, [ ~( f( X, Y ) ), f( X, z( X, Y ) ), ~( g( Y, z( X, Y ) ) ) ] )
% 0.70/1.08 , clause( 30, [ ~( f( X, Y ) ), f( X, z( X, Y ) ), ~( g( Y, z( X, Y ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 1, [ ~( f( X, Y ) ), ~( f( X, z( X, Y ) ) ), g( Y, z( X, Y ) ) ] )
% 0.70/1.08 , clause( 31, [ ~( f( X, Y ) ), ~( f( X, z( X, Y ) ) ), g( Y, z( X, Y ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 2, [ ~( f( z( X, Y ), z( X, Y ) ) ), ~( f( X, Y ) ), g( z( X, Y ),
% 0.70/1.08 z( X, Y ) ) ] )
% 0.70/1.08 , clause( 32, [ ~( f( z( X, Y ), z( X, Y ) ) ), g( z( X, Y ), z( X, Y ) ),
% 0.70/1.08 ~( f( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 4, [ f( X, Y ), ~( g( z( X, Y ), z( X, Y ) ) ) ] )
% 0.70/1.08 , clause( 34, [ ~( g( z( X, Y ), z( X, Y ) ) ), f( X, Y ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.70/1.08 ), ==>( 1, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 5, [ g( z( X, Y ), z( X, Y ) ), g( X, Y ) ] )
% 0.70/1.08 , clause( 35, [ g( X, Y ), g( z( X, Y ), z( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.70/1.08 ), ==>( 1, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 6, [ ~( g( z( X, Y ), z( X, Y ) ) ), ~( g( X, Y ) ) ] )
% 0.70/1.08 , clause( 36, [ ~( g( X, Y ) ), ~( g( z( X, Y ), z( X, Y ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.70/1.08 ), ==>( 1, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 39, [ ~( g( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y ) ) )
% 0.70/1.08 ), g( X, Y ) ] )
% 0.70/1.08 , clause( 6, [ ~( g( z( X, Y ), z( X, Y ) ) ), ~( g( X, Y ) ) ] )
% 0.70/1.08 , 1, clause( 5, [ g( z( X, Y ), z( X, Y ) ), g( X, Y ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, z( X, Y ) ), :=( Y, z( X, Y ) )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 7, [ ~( g( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y ) ) ) )
% 0.70/1.08 , g( X, Y ) ] )
% 0.70/1.08 , clause( 39, [ ~( g( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y ) )
% 0.70/1.08 ) ), g( X, Y ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 ), ==>( 1, 1 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 40, [ f( X, Y ), g( X, Y ) ] )
% 0.70/1.08 , clause( 4, [ f( X, Y ), ~( g( z( X, Y ), z( X, Y ) ) ) ] )
% 0.70/1.08 , 1, clause( 5, [ g( z( X, Y ), z( X, Y ) ), g( X, Y ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.08 , X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 9, [ f( X, Y ), g( X, Y ) ] )
% 0.70/1.08 , clause( 40, [ f( X, Y ), g( X, Y ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 ), ==>( 1, 1 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 43, [ ~( f( X, Y ) ), f( X, z( X, Y ) ), f( Y, z( X, Y ) ) ] )
% 0.70/1.08 , clause( 0, [ ~( f( X, Y ) ), f( X, z( X, Y ) ), ~( g( Y, z( X, Y ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , 2, clause( 9, [ f( X, Y ), g( X, Y ) ] )
% 0.70/1.08 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.08 , Y ), :=( Y, z( X, Y ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 12, [ f( X, z( X, Y ) ), f( Y, z( X, Y ) ), ~( f( X, Y ) ) ] )
% 0.70/1.08 , clause( 43, [ ~( f( X, Y ) ), f( X, z( X, Y ) ), f( Y, z( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.70/1.08 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 factor(
% 0.70/1.08 clause( 45, [ f( X, z( X, X ) ), ~( f( X, X ) ) ] )
% 0.70/1.08 , clause( 12, [ f( X, z( X, Y ) ), f( Y, z( X, Y ) ), ~( f( X, Y ) ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 14, [ ~( f( X, X ) ), f( X, z( X, X ) ) ] )
% 0.70/1.08 , clause( 45, [ f( X, z( X, X ) ), ~( f( X, X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.70/1.08 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 46, [ ~( f( X, Y ) ), g( z( X, Y ), z( X, Y ) ), g( z( X, Y ), z( X
% 0.70/1.08 , Y ) ) ] )
% 0.70/1.08 , clause( 2, [ ~( f( z( X, Y ), z( X, Y ) ) ), ~( f( X, Y ) ), g( z( X, Y )
% 0.70/1.08 , z( X, Y ) ) ] )
% 0.70/1.08 , 0, clause( 9, [ f( X, Y ), g( X, Y ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.08 , z( X, Y ) ), :=( Y, z( X, Y ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 factor(
% 0.70/1.08 clause( 48, [ ~( f( X, Y ) ), g( z( X, Y ), z( X, Y ) ) ] )
% 0.70/1.08 , clause( 46, [ ~( f( X, Y ) ), g( z( X, Y ), z( X, Y ) ), g( z( X, Y ), z(
% 0.70/1.08 X, Y ) ) ] )
% 0.70/1.08 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 18, [ ~( f( X, Y ) ), g( z( X, Y ), z( X, Y ) ) ] )
% 0.70/1.08 , clause( 48, [ ~( f( X, Y ) ), g( z( X, Y ), z( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 ), ==>( 1, 1 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 49, [ ~( g( X, Y ) ), ~( f( X, Y ) ) ] )
% 0.70/1.08 , clause( 6, [ ~( g( z( X, Y ), z( X, Y ) ) ), ~( g( X, Y ) ) ] )
% 0.70/1.08 , 0, clause( 18, [ ~( f( X, Y ) ), g( z( X, Y ), z( X, Y ) ) ] )
% 0.70/1.08 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.08 , X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 19, [ ~( f( X, Y ) ), ~( g( X, Y ) ) ] )
% 0.70/1.08 , clause( 49, [ ~( g( X, Y ) ), ~( f( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.70/1.08 ), ==>( 1, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 51, [ ~( f( X, z( Y, X ) ) ), ~( f( Y, X ) ), ~( f( Y, z( Y, X ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 19, [ ~( f( X, Y ) ), ~( g( X, Y ) ) ] )
% 0.70/1.08 , 1, clause( 1, [ ~( f( X, Y ) ), ~( f( X, z( X, Y ) ) ), g( Y, z( X, Y ) )
% 0.70/1.08 ] )
% 0.70/1.08 , 2, substitution( 0, [ :=( X, X ), :=( Y, z( Y, X ) )] ), substitution( 1
% 0.70/1.08 , [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 21, [ ~( f( Y, X ) ), ~( f( Y, z( Y, X ) ) ), ~( f( X, z( Y, X ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 51, [ ~( f( X, z( Y, X ) ) ), ~( f( Y, X ) ), ~( f( Y, z( Y, X )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.70/1.08 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 factor(
% 0.70/1.08 clause( 53, [ ~( f( X, X ) ), ~( f( X, z( X, X ) ) ) ] )
% 0.70/1.08 , clause( 21, [ ~( f( Y, X ) ), ~( f( Y, z( Y, X ) ) ), ~( f( X, z( Y, X )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 54, [ ~( f( X, X ) ), ~( f( X, X ) ) ] )
% 0.70/1.08 , clause( 53, [ ~( f( X, X ) ), ~( f( X, z( X, X ) ) ) ] )
% 0.70/1.08 , 1, clause( 14, [ ~( f( X, X ) ), f( X, z( X, X ) ) ] )
% 0.70/1.08 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.08 ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 factor(
% 0.70/1.08 clause( 55, [ ~( f( X, X ) ) ] )
% 0.70/1.08 , clause( 54, [ ~( f( X, X ) ), ~( f( X, X ) ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 23, [ ~( f( X, X ) ) ] )
% 0.70/1.08 , clause( 55, [ ~( f( X, X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 56, [ g( X, Y ), f( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X,
% 0.70/1.08 Y ) ) ) ] )
% 0.70/1.08 , clause( 7, [ ~( g( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y ) ) )
% 0.70/1.08 ), g( X, Y ) ] )
% 0.70/1.08 , 0, clause( 9, [ f( X, Y ), g( X, Y ) ] )
% 0.70/1.08 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.08 , z( z( X, Y ), z( X, Y ) ) ), :=( Y, z( z( X, Y ), z( X, Y ) ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 57, [ g( X, Y ) ] )
% 0.70/1.08 , clause( 23, [ ~( f( X, X ) ) ] )
% 0.70/1.08 , 0, clause( 56, [ g( X, Y ), f( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z(
% 0.70/1.08 X, Y ) ) ) ] )
% 0.70/1.08 , 1, substitution( 0, [ :=( X, z( z( X, Y ), z( X, Y ) ) )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 25, [ g( X, Y ) ] )
% 0.70/1.08 , clause( 57, [ g( X, Y ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 58, [ ~( g( X, Y ) ), ~( g( z( z( z( X, Y ), z( X, Y ) ), z( z( X,
% 0.70/1.08 Y ), z( X, Y ) ) ), z( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y )
% 0.70/1.08 ) ) ) ) ] )
% 0.70/1.08 , clause( 6, [ ~( g( z( X, Y ), z( X, Y ) ) ), ~( g( X, Y ) ) ] )
% 0.70/1.08 , 0, clause( 7, [ ~( g( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y )
% 0.70/1.08 ) ) ), g( X, Y ) ] )
% 0.70/1.08 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.08 , z( X, Y ) ), :=( Y, z( X, Y ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 61, [ ~( g( X, Y ) ) ] )
% 0.70/1.08 , clause( 58, [ ~( g( X, Y ) ), ~( g( z( z( z( X, Y ), z( X, Y ) ), z( z( X
% 0.70/1.08 , Y ), z( X, Y ) ) ), z( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y
% 0.70/1.08 ) ) ) ) ) ] )
% 0.70/1.08 , 1, clause( 25, [ g( X, Y ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.08 , z( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y ) ) ) ), :=( Y, z(
% 0.70/1.08 z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y ) ) ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 27, [ ~( g( X, Y ) ) ] )
% 0.70/1.08 , clause( 61, [ ~( g( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 62, [] )
% 0.70/1.08 , clause( 27, [ ~( g( X, Y ) ) ] )
% 0.70/1.08 , 0, clause( 25, [ g( X, Y ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.08 , X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 28, [] )
% 0.70/1.08 , clause( 62, [] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 end.
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 Memory use:
% 0.70/1.08
% 0.70/1.08 space for terms: 583
% 0.70/1.08 space for clauses: 2158
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 clauses generated: 64
% 0.70/1.08 clauses kept: 29
% 0.70/1.08 clauses selected: 15
% 0.70/1.08 clauses deleted: 2
% 0.70/1.08 clauses inuse deleted: 0
% 0.70/1.08
% 0.70/1.08 subsentry: 45
% 0.70/1.08 literals s-matched: 36
% 0.70/1.08 literals matched: 35
% 0.70/1.08 full subsumption: 5
% 0.70/1.08
% 0.70/1.08 checksum: -1342221367
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksem ended
%------------------------------------------------------------------------------