TSTP Solution File: LAT008-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 : Sun Jul 17 03:48:18 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
% 0.03/0.12 % Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 30 06:16:53 EDT 2022
% 0.13/0.34 % 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 [ =( meet( X, join( X, Y ) ), X ) ],
% 0.70/1.08 [ =( meet( X, join( Y, Z ) ), join( meet( Z, X ), meet( Y, X ) ) ) ]
% 0.70/1.08 ,
% 0.70/1.08 [ ~( =( join( a, meet( a, b ) ), a ) ) ]
% 0.70/1.08 ] .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.08 This is a pure equality problem
% 0.70/1.08
% 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 = 1
% 0.70/1.08 useeqrefl = 1
% 0.70/1.08 useeqfact = 1
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 5
% 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 = eqrewr
% 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] = extend the termordering, first sorting on arguments
% 0.70/1.08
% 0.70/1.08 termordering = kbo
% 0.70/1.08
% 0.70/1.08 litapriori = 0
% 0.70/1.08 termapriori = 1
% 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 = negord
% 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:19, a:1, s:1, b:0),
% 0.70/1.08 ! [4, 1] (w:0, o:14, 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 join [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.70/1.08 meet [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.70/1.08 a [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.08 b [45, 0] (w:1, o:13, 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, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 2, [ ~( =( join( a, meet( a, b ) ), a ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 3, [ =( meet( meet( X, Y ), meet( Y, join( Z, X ) ) ), meet( X, Y )
% 0.70/1.08 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 6, [ =( meet( meet( Y, X ), X ), meet( Y, X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 8, [ =( meet( Y, join( Z, meet( X, Y ) ) ), meet( Y, join( Z, X ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 9, [ =( meet( Y, join( meet( X, Y ), Z ) ), meet( Y, join( X, Z ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 11, [ =( meet( Y, meet( Y, join( Z, X ) ) ), meet( Y, join( X, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 12, [ =( meet( X, join( Y, X ) ), meet( X, X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 17, [ =( meet( X, X ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 18, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 29, [ =( join( X, X ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 38, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 52, [] )
% 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( 54, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , clause( 55, [ =( meet( X, join( Y, Z ) ), join( meet( Z, X ), meet( Y, X
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , clause( 56, [ ~( =( join( a, meet( a, b ) ), a ) ) ] )
% 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, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , clause( 54, [ =( meet( X, join( X, Y ) ), X ) ] )
% 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 eqswap(
% 0.70/1.08 clause( 59, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 55, [ =( meet( X, join( Y, Z ) ), join( meet( Z, X ), meet( Y, X
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 59, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 2, [ ~( =( join( a, meet( a, b ) ), a ) ) ] )
% 0.70/1.08 , clause( 56, [ ~( =( join( a, meet( a, b ) ), a ) ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 64, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 0.70/1.08 , clause( 0, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 71, [ =( meet( X, Y ), meet( meet( X, Y ), meet( Y, join( Z, X ) )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, clause( 64, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 0.70/1.08 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.70/1.08 substitution( 1, [ :=( X, meet( X, Y ) ), :=( Y, meet( Z, Y ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 72, [ =( meet( meet( X, Y ), meet( Y, join( Z, X ) ) ), meet( X, Y
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 71, [ =( meet( X, Y ), meet( meet( X, Y ), meet( Y, join( Z, X )
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 3, [ =( meet( meet( X, Y ), meet( Y, join( Z, X ) ) ), meet( X, Y )
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 72, [ =( meet( meet( X, Y ), meet( Y, join( Z, X ) ) ), meet( X,
% 0.70/1.08 Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 74, [ =( meet( X, Y ), meet( meet( X, Y ), meet( Y, join( Z, X ) )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 3, [ =( meet( meet( X, Y ), meet( Y, join( Z, X ) ) ), meet( X, Y
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 77, [ =( meet( X, Y ), meet( meet( X, Y ), Y ) ) ] )
% 0.70/1.08 , clause( 0, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , 0, clause( 74, [ =( meet( X, Y ), meet( meet( X, Y ), meet( Y, join( Z, X
% 0.70/1.08 ) ) ) ) ] )
% 0.70/1.08 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.70/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 82, [ =( meet( meet( X, Y ), Y ), meet( X, Y ) ) ] )
% 0.70/1.08 , clause( 77, [ =( meet( X, Y ), meet( meet( X, Y ), Y ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 6, [ =( meet( meet( Y, X ), X ), meet( Y, X ) ) ] )
% 0.70/1.08 , clause( 82, [ =( meet( meet( X, Y ), Y ), meet( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 84, [ =( meet( Y, join( Z, X ) ), join( meet( X, Y ), meet( Z, Y )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 87, [ =( meet( X, join( Y, meet( Z, X ) ) ), join( meet( Z, X ),
% 0.70/1.08 meet( Y, X ) ) ) ] )
% 0.70/1.08 , clause( 6, [ =( meet( meet( Y, X ), X ), meet( Y, X ) ) ] )
% 0.70/1.08 , 0, clause( 84, [ =( meet( Y, join( Z, X ) ), join( meet( X, Y ), meet( Z
% 0.70/1.08 , Y ) ) ) ] )
% 0.70/1.08 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.70/1.08 :=( X, meet( Z, X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 91, [ =( meet( X, join( Y, meet( Z, X ) ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, clause( 87, [ =( meet( X, join( Y, meet( Z, X ) ) ), join( meet( Z, X
% 0.70/1.08 ), meet( Y, X ) ) ) ] )
% 0.70/1.08 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 8, [ =( meet( Y, join( Z, meet( X, Y ) ) ), meet( Y, join( Z, X ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 91, [ =( meet( X, join( Y, meet( Z, X ) ) ), meet( X, join( Y, Z
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 94, [ =( meet( Y, join( Z, X ) ), join( meet( X, Y ), meet( Z, Y )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 98, [ =( meet( X, join( meet( Y, X ), Z ) ), join( meet( Z, X ),
% 0.70/1.08 meet( Y, X ) ) ) ] )
% 0.70/1.08 , clause( 6, [ =( meet( meet( Y, X ), X ), meet( Y, X ) ) ] )
% 0.70/1.08 , 0, clause( 94, [ =( meet( Y, join( Z, X ) ), join( meet( X, Y ), meet( Z
% 0.70/1.08 , Y ) ) ) ] )
% 0.70/1.08 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.08 :=( X, Z ), :=( Y, X ), :=( Z, meet( Y, X ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 99, [ =( meet( X, join( meet( Y, X ), Z ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, clause( 98, [ =( meet( X, join( meet( Y, X ), Z ) ), join( meet( Z, X
% 0.70/1.08 ), meet( Y, X ) ) ) ] )
% 0.70/1.08 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 9, [ =( meet( Y, join( meet( X, Y ), Z ) ), meet( Y, join( X, Z ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 99, [ =( meet( X, join( meet( Y, X ), Z ) ), meet( X, join( Y, Z
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 102, [ =( meet( X, join( Y, Z ) ), meet( X, join( Y, meet( Z, X ) )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 8, [ =( meet( Y, join( Z, meet( X, Y ) ) ), meet( Y, join( Z, X )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 108, [ =( meet( X, join( meet( Y, X ), Z ) ), meet( X, meet( X,
% 0.70/1.08 join( Z, Y ) ) ) ) ] )
% 0.70/1.08 , clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, clause( 102, [ =( meet( X, join( Y, Z ) ), meet( X, join( Y, meet( Z,
% 0.70/1.08 X ) ) ) ) ] )
% 0.70/1.08 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, meet( Y, X ) ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 109, [ =( meet( X, join( Y, Z ) ), meet( X, meet( X, join( Z, Y ) )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 9, [ =( meet( Y, join( meet( X, Y ), Z ) ), meet( Y, join( X, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, clause( 108, [ =( meet( X, join( meet( Y, X ), Z ) ), meet( X, meet( X
% 0.70/1.08 , join( Z, Y ) ) ) ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 110, [ =( meet( X, meet( X, join( Z, Y ) ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 109, [ =( meet( X, join( Y, Z ) ), meet( X, meet( X, join( Z, Y )
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 11, [ =( meet( Y, meet( Y, join( Z, X ) ) ), meet( Y, join( X, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 110, [ =( meet( X, meet( X, join( Z, Y ) ) ), meet( X, join( Y, Z
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 112, [ =( meet( X, join( Z, Y ) ), meet( X, meet( X, join( Y, Z ) )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 11, [ =( meet( Y, meet( Y, join( Z, X ) ) ), meet( Y, join( X, Z
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 114, [ =( meet( X, join( Y, X ) ), meet( X, X ) ) ] )
% 0.70/1.08 , clause( 0, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , 0, clause( 112, [ =( meet( X, join( Z, Y ) ), meet( X, meet( X, join( Y,
% 0.70/1.08 Z ) ) ) ) ] )
% 0.70/1.08 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.08 :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 12, [ =( meet( X, join( Y, X ) ), meet( X, X ) ) ] )
% 0.70/1.08 , clause( 114, [ =( meet( X, join( Y, X ) ), meet( X, X ) ) ] )
% 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 eqswap(
% 0.70/1.08 clause( 117, [ =( meet( X, X ), meet( X, join( Y, X ) ) ) ] )
% 0.70/1.08 , clause( 12, [ =( meet( X, join( Y, X ) ), meet( X, X ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 119, [ =( meet( X, X ), X ) ] )
% 0.70/1.08 , clause( 0, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , 0, clause( 117, [ =( meet( X, X ), meet( X, join( Y, X ) ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 0.70/1.08 :=( X, X ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 17, [ =( meet( X, X ), X ) ] )
% 0.70/1.08 , clause( 119, [ =( meet( X, 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 eqswap(
% 0.70/1.08 clause( 122, [ =( meet( Y, join( Z, X ) ), join( meet( X, Y ), meet( Z, Y )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 126, [ =( meet( X, join( Y, X ) ), join( X, meet( Y, X ) ) ) ] )
% 0.70/1.08 , clause( 17, [ =( meet( X, X ), X ) ] )
% 0.70/1.08 , 0, clause( 122, [ =( meet( Y, join( Z, X ) ), join( meet( X, Y ), meet( Z
% 0.70/1.08 , Y ) ) ) ] )
% 0.70/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 128, [ =( meet( X, X ), join( X, meet( Y, X ) ) ) ] )
% 0.70/1.08 , clause( 12, [ =( meet( X, join( Y, X ) ), meet( X, X ) ) ] )
% 0.70/1.08 , 0, clause( 126, [ =( meet( X, join( Y, X ) ), join( X, meet( Y, X ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 129, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.70/1.08 , clause( 17, [ =( meet( X, X ), X ) ] )
% 0.70/1.08 , 0, clause( 128, [ =( meet( X, X ), join( X, meet( Y, X ) ) ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 130, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.70/1.08 , clause( 129, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.70/1.08 , 0, 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, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.70/1.08 , clause( 130, [ =( join( X, meet( Y, X ) ), X ) ] )
% 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 eqswap(
% 0.70/1.08 clause( 132, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.70/1.08 , clause( 18, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 133, [ =( X, join( X, X ) ) ] )
% 0.70/1.08 , clause( 17, [ =( meet( X, X ), X ) ] )
% 0.70/1.08 , 0, clause( 132, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 134, [ =( join( X, X ), X ) ] )
% 0.70/1.08 , clause( 133, [ =( X, join( X, X ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 29, [ =( join( X, X ), X ) ] )
% 0.70/1.08 , clause( 134, [ =( join( X, 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 eqswap(
% 0.70/1.08 clause( 135, [ =( X, join( X, X ) ) ] )
% 0.70/1.08 , clause( 29, [ =( join( X, X ), X ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 138, [ =( meet( X, Y ), meet( Y, join( X, X ) ) ) ] )
% 0.70/1.08 , clause( 1, [ =( join( meet( Z, X ), meet( Y, X ) ), meet( X, join( Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, clause( 135, [ =( X, join( X, X ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.70/1.08 substitution( 1, [ :=( X, meet( X, Y ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 139, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.70/1.08 , clause( 29, [ =( join( X, X ), X ) ] )
% 0.70/1.08 , 0, clause( 138, [ =( meet( X, Y ), meet( Y, join( X, X ) ) ) ] )
% 0.70/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 38, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.70/1.08 , clause( 139, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 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 eqswap(
% 0.70/1.08 clause( 140, [ ~( =( a, join( a, meet( a, b ) ) ) ) ] )
% 0.70/1.08 , clause( 2, [ ~( =( join( a, meet( a, b ) ), a ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 142, [ ~( =( a, join( a, meet( b, a ) ) ) ) ] )
% 0.70/1.08 , clause( 38, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.70/1.08 , 0, clause( 140, [ ~( =( a, join( a, meet( a, b ) ) ) ) ] )
% 0.70/1.08 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.70/1.08 ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 144, [ ~( =( a, a ) ) ] )
% 0.70/1.08 , clause( 18, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.70/1.08 , 0, clause( 142, [ ~( =( a, join( a, meet( b, a ) ) ) ) ] )
% 0.70/1.08 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.70/1.08 ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqrefl(
% 0.70/1.08 clause( 145, [] )
% 0.70/1.08 , clause( 144, [ ~( =( a, a ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 52, [] )
% 0.70/1.08 , clause( 145, [] )
% 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: 661
% 0.70/1.08 space for clauses: 5899
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 clauses generated: 240
% 0.70/1.08 clauses kept: 53
% 0.70/1.08 clauses selected: 15
% 0.70/1.08 clauses deleted: 0
% 0.70/1.08 clauses inuse deleted: 0
% 0.70/1.08
% 0.70/1.08 subsentry: 267
% 0.70/1.08 literals s-matched: 94
% 0.70/1.08 literals matched: 92
% 0.70/1.08 full subsumption: 0
% 0.70/1.08
% 0.70/1.08 checksum: 2138788798
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksem ended
%------------------------------------------------------------------------------