TSTP Solution File: LAT037-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT037-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 03:48:29 EDT 2022
% Result : Unsatisfiable 0.73s 1.27s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.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 13:07:37 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.73/1.27 *** allocated 10000 integers for termspace/termends
% 0.73/1.27 *** allocated 10000 integers for clauses
% 0.73/1.27 *** allocated 10000 integers for justifications
% 0.73/1.27 Bliksem 1.12
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 Automatic Strategy Selection
% 0.73/1.27
% 0.73/1.27 Clauses:
% 0.73/1.27 [
% 0.73/1.27 [ =( meet( X, X ), X ) ],
% 0.73/1.27 [ =( join( X, X ), X ) ],
% 0.73/1.27 [ =( meet( X, join( X, Y ) ), X ) ],
% 0.73/1.27 [ =( join( X, meet( X, Y ) ), X ) ],
% 0.73/1.27 [ =( meet( X, Y ), meet( Y, X ) ) ],
% 0.73/1.27 [ =( join( X, Y ), join( Y, X ) ) ],
% 0.73/1.27 [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ],
% 0.73/1.27 [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ],
% 0.73/1.27 [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X, Z ) ) ) ]
% 0.73/1.27 ,
% 0.73/1.27 [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet( X, Z ) ) ) ]
% 0.73/1.27 ,
% 0.73/1.27 [ =( meet( X, n0 ), n0 ) ],
% 0.73/1.27 [ =( join( X, n0 ), X ) ],
% 0.73/1.27 [ =( meet( X, n1 ), X ) ],
% 0.73/1.27 [ =( join( X, n1 ), n1 ) ],
% 0.73/1.27 [ ~( =( meet( X, Y ), X ) ), =( meet( Y, join( X, Z ) ), join( X, meet(
% 0.73/1.27 Z, Y ) ) ) ],
% 0.73/1.27 [ =( join( xx, yy ), n1 ) ],
% 0.73/1.27 [ =( join( xx, zz ), n1 ) ],
% 0.73/1.27 [ =( meet( xx, yy ), n0 ) ],
% 0.73/1.27 [ =( meet( xx, zz ), n0 ) ],
% 0.73/1.27 [ ~( =( yy, zz ) ) ]
% 0.73/1.27 ] .
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.27 This is a pure equality problem
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 Options Used:
% 0.73/1.27
% 0.73/1.27 useres = 1
% 0.73/1.27 useparamod = 1
% 0.73/1.27 useeqrefl = 1
% 0.73/1.27 useeqfact = 1
% 0.73/1.27 usefactor = 1
% 0.73/1.27 usesimpsplitting = 0
% 0.73/1.27 usesimpdemod = 5
% 0.73/1.27 usesimpres = 3
% 0.73/1.27
% 0.73/1.27 resimpinuse = 1000
% 0.73/1.27 resimpclauses = 20000
% 0.73/1.27 substype = eqrewr
% 0.73/1.27 backwardsubs = 1
% 0.73/1.27 selectoldest = 5
% 0.73/1.27
% 0.73/1.27 litorderings [0] = split
% 0.73/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.27
% 0.73/1.27 termordering = kbo
% 0.73/1.27
% 0.73/1.27 litapriori = 0
% 0.73/1.27 termapriori = 1
% 0.73/1.27 litaposteriori = 0
% 0.73/1.27 termaposteriori = 0
% 0.73/1.27 demodaposteriori = 0
% 0.73/1.27 ordereqreflfact = 0
% 0.73/1.27
% 0.73/1.27 litselect = negord
% 0.73/1.27
% 0.73/1.27 maxweight = 15
% 0.73/1.27 maxdepth = 30000
% 0.73/1.27 maxlength = 115
% 0.73/1.27 maxnrvars = 195
% 0.73/1.27 excuselevel = 1
% 0.73/1.27 increasemaxweight = 1
% 0.73/1.27
% 0.73/1.27 maxselected = 10000000
% 0.73/1.27 maxnrclauses = 10000000
% 0.73/1.27
% 0.73/1.27 showgenerated = 0
% 0.73/1.27 showkept = 0
% 0.73/1.27 showselected = 0
% 0.73/1.27 showdeleted = 0
% 0.73/1.27 showresimp = 1
% 0.73/1.27 showstatus = 2000
% 0.73/1.27
% 0.73/1.27 prologoutput = 1
% 0.73/1.27 nrgoals = 5000000
% 0.73/1.27 totalproof = 1
% 0.73/1.27
% 0.73/1.27 Symbols occurring in the translation:
% 0.73/1.27
% 0.73/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.27 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.27 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.73/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.27 meet [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.27 join [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.27 n0 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.27 n1 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.27 xx [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.27 yy [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.73/1.27 zz [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 Starting Search:
% 0.73/1.27
% 0.73/1.27 Resimplifying inuse:
% 0.73/1.27 Done
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 Bliksems!, er is een bewijs:
% 0.73/1.27 % SZS status Unsatisfiable
% 0.73/1.27 % SZS output start Refutation
% 0.73/1.27
% 0.73/1.27 clause( 0, [ =( meet( X, X ), X ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 2, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 3, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 6, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 9, [ =( join( meet( X, Y ), meet( X, Z ) ), meet( X, join( Y, Z ) )
% 0.73/1.27 ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 11, [ =( join( X, n0 ), X ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 12, [ =( meet( X, n1 ), X ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 15, [ =( join( xx, yy ), n1 ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 16, [ =( join( xx, zz ), n1 ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 17, [ =( meet( xx, yy ), n0 ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 18, [ =( meet( xx, zz ), n0 ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 19, [ ~( =( zz, yy ) ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 23, [ =( join( n0, X ), X ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 27, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 28, [ =( meet( join( X, Y ), X ), X ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 29, [ =( meet( yy, xx ), n0 ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 30, [ =( meet( zz, xx ), n0 ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 43, [ =( join( meet( Y, X ), X ), X ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 58, [ =( meet( meet( Y, X ), Y ), meet( X, Y ) ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 114, [ =( meet( zz, join( xx, X ) ), meet( zz, X ) ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 116, [ =( meet( yy, join( xx, X ) ), meet( yy, X ) ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 1159, [ =( meet( zz, yy ), zz ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 1162, [ =( meet( yy, zz ), zz ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 1425, [ =( zz, yy ) ] )
% 0.73/1.27 .
% 0.73/1.27 clause( 1426, [] )
% 0.73/1.27 .
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 % SZS output end Refutation
% 0.73/1.27 found a proof!
% 0.73/1.27
% 0.73/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.27
% 0.73/1.27 initialclauses(
% 0.73/1.27 [ clause( 1428, [ =( meet( X, X ), X ) ] )
% 0.73/1.27 , clause( 1429, [ =( join( X, X ), X ) ] )
% 0.73/1.27 , clause( 1430, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.73/1.27 , clause( 1431, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.73/1.27 , clause( 1432, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.73/1.27 , clause( 1433, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.73/1.27 , clause( 1434, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ]
% 0.73/1.27 )
% 0.73/1.27 , clause( 1435, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ]
% 0.73/1.27 )
% 0.73/1.27 , clause( 1436, [ =( join( X, meet( Y, Z ) ), meet( join( X, Y ), join( X,
% 0.73/1.27 Z ) ) ) ] )
% 0.73/1.27 , clause( 1437, [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet( X,
% 0.73/1.27 Z ) ) ) ] )
% 0.73/1.27 , clause( 1438, [ =( meet( X, n0 ), n0 ) ] )
% 0.73/1.27 , clause( 1439, [ =( join( X, n0 ), X ) ] )
% 0.73/1.27 , clause( 1440, [ =( meet( X, n1 ), X ) ] )
% 0.73/1.27 , clause( 1441, [ =( join( X, n1 ), n1 ) ] )
% 0.73/1.27 , clause( 1442, [ ~( =( meet( X, Y ), X ) ), =( meet( Y, join( X, Z ) ),
% 0.73/1.27 join( X, meet( Z, Y ) ) ) ] )
% 0.73/1.27 , clause( 1443, [ =( join( xx, yy ), n1 ) ] )
% 0.73/1.27 , clause( 1444, [ =( join( xx, zz ), n1 ) ] )
% 0.73/1.27 , clause( 1445, [ =( meet( xx, yy ), n0 ) ] )
% 0.73/1.27 , clause( 1446, [ =( meet( xx, zz ), n0 ) ] )
% 0.73/1.27 , clause( 1447, [ ~( =( yy, zz ) ) ] )
% 0.73/1.27 ] ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 0, [ =( meet( X, X ), X ) ] )
% 0.73/1.27 , clause( 1428, [ =( meet( X, X ), X ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 2, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.73/1.27 , clause( 1430, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.27 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 3, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.73/1.27 , clause( 1431, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.27 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.73/1.27 , clause( 1432, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.27 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.73/1.27 , clause( 1433, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.27 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1468, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ] )
% 0.73/1.27 , clause( 1434, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ]
% 0.73/1.27 )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 6, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ] )
% 0.73/1.27 , clause( 1468, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ]
% 0.73/1.27 )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1476, [ =( join( meet( X, Y ), meet( X, Z ) ), meet( X, join( Y, Z
% 0.73/1.27 ) ) ) ] )
% 0.73/1.27 , clause( 1437, [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet( X,
% 0.73/1.27 Z ) ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 9, [ =( join( meet( X, Y ), meet( X, Z ) ), meet( X, join( Y, Z ) )
% 0.73/1.27 ) ] )
% 0.73/1.27 , clause( 1476, [ =( join( meet( X, Y ), meet( X, Z ) ), meet( X, join( Y,
% 0.73/1.27 Z ) ) ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 11, [ =( join( X, n0 ), X ) ] )
% 0.73/1.27 , clause( 1439, [ =( join( X, n0 ), X ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 12, [ =( meet( X, n1 ), X ) ] )
% 0.73/1.27 , clause( 1440, [ =( meet( X, n1 ), X ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 15, [ =( join( xx, yy ), n1 ) ] )
% 0.73/1.27 , clause( 1443, [ =( join( xx, yy ), n1 ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 16, [ =( join( xx, zz ), n1 ) ] )
% 0.73/1.27 , clause( 1444, [ =( join( xx, zz ), n1 ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 17, [ =( meet( xx, yy ), n0 ) ] )
% 0.73/1.27 , clause( 1445, [ =( meet( xx, yy ), n0 ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 18, [ =( meet( xx, zz ), n0 ) ] )
% 0.73/1.27 , clause( 1446, [ =( meet( xx, zz ), n0 ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1587, [ ~( =( zz, yy ) ) ] )
% 0.73/1.27 , clause( 1447, [ ~( =( yy, zz ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 19, [ ~( =( zz, yy ) ) ] )
% 0.73/1.27 , clause( 1587, [ ~( =( zz, yy ) ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1588, [ =( X, join( X, n0 ) ) ] )
% 0.73/1.27 , clause( 11, [ =( join( X, n0 ), X ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1589, [ =( X, join( n0, X ) ) ] )
% 0.73/1.27 , clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.73/1.27 , 0, clause( 1588, [ =( X, join( X, n0 ) ) ] )
% 0.73/1.27 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, n0 )] ), substitution( 1, [
% 0.73/1.27 :=( X, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1592, [ =( join( n0, X ), X ) ] )
% 0.73/1.27 , clause( 1589, [ =( X, join( n0, X ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 23, [ =( join( n0, X ), X ) ] )
% 0.73/1.27 , clause( 1592, [ =( join( n0, X ), X ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1593, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 0.73/1.27 , clause( 3, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1594, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.73/1.27 , clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.73/1.27 , 0, clause( 1593, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 0.73/1.27 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.27 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1597, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.73/1.27 , clause( 1594, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 27, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.73/1.27 , clause( 1597, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.27 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1598, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 0.73/1.27 , clause( 2, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1599, [ =( X, meet( join( X, Y ), X ) ) ] )
% 0.73/1.27 , clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.73/1.27 , 0, clause( 1598, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 0.73/1.27 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, join( X, Y ) )] ),
% 0.73/1.27 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1602, [ =( meet( join( X, Y ), X ), X ) ] )
% 0.73/1.27 , clause( 1599, [ =( X, meet( join( X, Y ), X ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 28, [ =( meet( join( X, Y ), X ), X ) ] )
% 0.73/1.27 , clause( 1602, [ =( meet( join( X, Y ), X ), X ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.27 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1603, [ =( n0, meet( xx, yy ) ) ] )
% 0.73/1.27 , clause( 17, [ =( meet( xx, yy ), n0 ) ] )
% 0.73/1.27 , 0, substitution( 0, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1604, [ =( n0, meet( yy, xx ) ) ] )
% 0.73/1.27 , clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.73/1.27 , 0, clause( 1603, [ =( n0, meet( xx, yy ) ) ] )
% 0.73/1.27 , 0, 2, substitution( 0, [ :=( X, xx ), :=( Y, yy )] ), substitution( 1, [] )
% 0.73/1.27 ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1607, [ =( meet( yy, xx ), n0 ) ] )
% 0.73/1.27 , clause( 1604, [ =( n0, meet( yy, xx ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 29, [ =( meet( yy, xx ), n0 ) ] )
% 0.73/1.27 , clause( 1607, [ =( meet( yy, xx ), n0 ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1608, [ =( n0, meet( xx, zz ) ) ] )
% 0.73/1.27 , clause( 18, [ =( meet( xx, zz ), n0 ) ] )
% 0.73/1.27 , 0, substitution( 0, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1609, [ =( n0, meet( zz, xx ) ) ] )
% 0.73/1.27 , clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.73/1.27 , 0, clause( 1608, [ =( n0, meet( xx, zz ) ) ] )
% 0.73/1.27 , 0, 2, substitution( 0, [ :=( X, xx ), :=( Y, zz )] ), substitution( 1, [] )
% 0.73/1.27 ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1612, [ =( meet( zz, xx ), n0 ) ] )
% 0.73/1.27 , clause( 1609, [ =( n0, meet( zz, xx ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 30, [ =( meet( zz, xx ), n0 ) ] )
% 0.73/1.27 , clause( 1612, [ =( meet( zz, xx ), n0 ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1613, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.73/1.27 , clause( 27, [ =( join( X, meet( Y, X ) ), X ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1614, [ =( X, join( meet( Y, X ), X ) ) ] )
% 0.73/1.27 , clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.73/1.27 , 0, clause( 1613, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 0.73/1.27 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, meet( Y, X ) )] ),
% 0.73/1.27 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1617, [ =( join( meet( Y, X ), X ), X ) ] )
% 0.73/1.27 , clause( 1614, [ =( X, join( meet( Y, X ), X ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 43, [ =( join( meet( Y, X ), X ), X ) ] )
% 0.73/1.27 , clause( 1617, [ =( join( meet( Y, X ), X ), X ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.27 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1619, [ =( X, meet( join( X, Y ), X ) ) ] )
% 0.73/1.27 , clause( 28, [ =( meet( join( X, Y ), X ), X ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1622, [ =( meet( X, Y ), meet( Y, meet( X, Y ) ) ) ] )
% 0.73/1.27 , clause( 43, [ =( join( meet( Y, X ), X ), X ) ] )
% 0.73/1.27 , 0, clause( 1619, [ =( X, meet( join( X, Y ), X ) ) ] )
% 0.73/1.27 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.27 :=( X, meet( X, Y ) ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1623, [ =( meet( X, Y ), meet( meet( Y, X ), Y ) ) ] )
% 0.73/1.27 , clause( 6, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ] )
% 0.73/1.27 , 0, clause( 1622, [ =( meet( X, Y ), meet( Y, meet( X, Y ) ) ) ] )
% 0.73/1.27 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.27 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1624, [ =( meet( meet( Y, X ), Y ), meet( X, Y ) ) ] )
% 0.73/1.27 , clause( 1623, [ =( meet( X, Y ), meet( meet( Y, X ), Y ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 58, [ =( meet( meet( Y, X ), Y ), meet( X, Y ) ) ] )
% 0.73/1.27 , clause( 1624, [ =( meet( meet( Y, X ), Y ), meet( X, Y ) ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.27 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1626, [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet( X, Z
% 0.73/1.27 ) ) ) ] )
% 0.73/1.27 , clause( 9, [ =( join( meet( X, Y ), meet( X, Z ) ), meet( X, join( Y, Z )
% 0.73/1.27 ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1628, [ =( meet( zz, join( xx, X ) ), join( n0, meet( zz, X ) ) ) ]
% 0.73/1.27 )
% 0.73/1.27 , clause( 30, [ =( meet( zz, xx ), n0 ) ] )
% 0.73/1.27 , 0, clause( 1626, [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet(
% 0.73/1.27 X, Z ) ) ) ] )
% 0.73/1.27 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, zz ), :=( Y, xx )
% 0.73/1.27 , :=( Z, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1630, [ =( meet( zz, join( xx, X ) ), meet( zz, X ) ) ] )
% 0.73/1.27 , clause( 23, [ =( join( n0, X ), X ) ] )
% 0.73/1.27 , 0, clause( 1628, [ =( meet( zz, join( xx, X ) ), join( n0, meet( zz, X )
% 0.73/1.27 ) ) ] )
% 0.73/1.27 , 0, 6, substitution( 0, [ :=( X, meet( zz, X ) )] ), substitution( 1, [
% 0.73/1.27 :=( X, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 114, [ =( meet( zz, join( xx, X ) ), meet( zz, X ) ) ] )
% 0.73/1.27 , clause( 1630, [ =( meet( zz, join( xx, X ) ), meet( zz, X ) ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1633, [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet( X, Z
% 0.73/1.27 ) ) ) ] )
% 0.73/1.27 , clause( 9, [ =( join( meet( X, Y ), meet( X, Z ) ), meet( X, join( Y, Z )
% 0.73/1.27 ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1635, [ =( meet( yy, join( xx, X ) ), join( n0, meet( yy, X ) ) ) ]
% 0.73/1.27 )
% 0.73/1.27 , clause( 29, [ =( meet( yy, xx ), n0 ) ] )
% 0.73/1.27 , 0, clause( 1633, [ =( meet( X, join( Y, Z ) ), join( meet( X, Y ), meet(
% 0.73/1.27 X, Z ) ) ) ] )
% 0.73/1.27 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, yy ), :=( Y, xx )
% 0.73/1.27 , :=( Z, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1637, [ =( meet( yy, join( xx, X ) ), meet( yy, X ) ) ] )
% 0.73/1.27 , clause( 23, [ =( join( n0, X ), X ) ] )
% 0.73/1.27 , 0, clause( 1635, [ =( meet( yy, join( xx, X ) ), join( n0, meet( yy, X )
% 0.73/1.27 ) ) ] )
% 0.73/1.27 , 0, 6, substitution( 0, [ :=( X, meet( yy, X ) )] ), substitution( 1, [
% 0.73/1.27 :=( X, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 116, [ =( meet( yy, join( xx, X ) ), meet( yy, X ) ) ] )
% 0.73/1.27 , clause( 1637, [ =( meet( yy, join( xx, X ) ), meet( yy, X ) ) ] )
% 0.73/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1640, [ =( meet( zz, X ), meet( zz, join( xx, X ) ) ) ] )
% 0.73/1.27 , clause( 114, [ =( meet( zz, join( xx, X ) ), meet( zz, X ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1642, [ =( meet( zz, yy ), meet( zz, n1 ) ) ] )
% 0.73/1.27 , clause( 15, [ =( join( xx, yy ), n1 ) ] )
% 0.73/1.27 , 0, clause( 1640, [ =( meet( zz, X ), meet( zz, join( xx, X ) ) ) ] )
% 0.73/1.27 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, yy )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1643, [ =( meet( zz, yy ), zz ) ] )
% 0.73/1.27 , clause( 12, [ =( meet( X, n1 ), X ) ] )
% 0.73/1.27 , 0, clause( 1642, [ =( meet( zz, yy ), meet( zz, n1 ) ) ] )
% 0.73/1.27 , 0, 4, substitution( 0, [ :=( X, zz )] ), substitution( 1, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 1159, [ =( meet( zz, yy ), zz ) ] )
% 0.73/1.27 , clause( 1643, [ =( meet( zz, yy ), zz ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1646, [ =( meet( Y, X ), meet( meet( X, Y ), X ) ) ] )
% 0.73/1.27 , clause( 58, [ =( meet( meet( Y, X ), Y ), meet( X, Y ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1649, [ =( meet( yy, zz ), meet( zz, zz ) ) ] )
% 0.73/1.27 , clause( 1159, [ =( meet( zz, yy ), zz ) ] )
% 0.73/1.27 , 0, clause( 1646, [ =( meet( Y, X ), meet( meet( X, Y ), X ) ) ] )
% 0.73/1.27 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, zz ), :=( Y, yy )] )
% 0.73/1.27 ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1650, [ =( meet( yy, zz ), zz ) ] )
% 0.73/1.27 , clause( 0, [ =( meet( X, X ), X ) ] )
% 0.73/1.27 , 0, clause( 1649, [ =( meet( yy, zz ), meet( zz, zz ) ) ] )
% 0.73/1.27 , 0, 4, substitution( 0, [ :=( X, zz )] ), substitution( 1, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 1162, [ =( meet( yy, zz ), zz ) ] )
% 0.73/1.27 , clause( 1650, [ =( meet( yy, zz ), zz ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 eqswap(
% 0.73/1.27 clause( 1653, [ =( meet( yy, X ), meet( yy, join( xx, X ) ) ) ] )
% 0.73/1.27 , clause( 116, [ =( meet( yy, join( xx, X ) ), meet( yy, X ) ) ] )
% 0.73/1.27 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1656, [ =( meet( yy, zz ), meet( yy, n1 ) ) ] )
% 0.73/1.27 , clause( 16, [ =( join( xx, zz ), n1 ) ] )
% 0.73/1.27 , 0, clause( 1653, [ =( meet( yy, X ), meet( yy, join( xx, X ) ) ) ] )
% 0.73/1.27 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, zz )] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1657, [ =( meet( yy, zz ), yy ) ] )
% 0.73/1.27 , clause( 12, [ =( meet( X, n1 ), X ) ] )
% 0.73/1.27 , 0, clause( 1656, [ =( meet( yy, zz ), meet( yy, n1 ) ) ] )
% 0.73/1.27 , 0, 4, substitution( 0, [ :=( X, yy )] ), substitution( 1, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 paramod(
% 0.73/1.27 clause( 1658, [ =( zz, yy ) ] )
% 0.73/1.27 , clause( 1162, [ =( meet( yy, zz ), zz ) ] )
% 0.73/1.27 , 0, clause( 1657, [ =( meet( yy, zz ), yy ) ] )
% 0.73/1.27 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 1425, [ =( zz, yy ) ] )
% 0.73/1.27 , clause( 1658, [ =( zz, yy ) ] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 resolution(
% 0.73/1.27 clause( 1662, [] )
% 0.73/1.27 , clause( 19, [ ~( =( zz, yy ) ) ] )
% 0.73/1.27 , 0, clause( 1425, [ =( zz, yy ) ] )
% 0.73/1.27 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 subsumption(
% 0.73/1.27 clause( 1426, [] )
% 0.73/1.27 , clause( 1662, [] )
% 0.73/1.27 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 end.
% 0.73/1.27
% 0.73/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.27
% 0.73/1.27 Memory use:
% 0.73/1.27
% 0.73/1.27 space for terms: 18979
% 0.73/1.27 space for clauses: 92464
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 clauses generated: 23153
% 0.73/1.27 clauses kept: 1427
% 0.73/1.27 clauses selected: 197
% 0.73/1.27 clauses deleted: 52
% 0.73/1.27 clauses inuse deleted: 6
% 0.73/1.27
% 0.73/1.27 subsentry: 70926
% 0.73/1.27 literals s-matched: 39102
% 0.73/1.27 literals matched: 33478
% 0.73/1.27 full subsumption: 12920
% 0.73/1.27
% 0.73/1.27 checksum: 437724732
% 0.73/1.27
% 0.73/1.27
% 0.73/1.27 Bliksem ended
%------------------------------------------------------------------------------