TSTP Solution File: LAT011-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 03:48:20 EDT 2022
% Result : Unsatisfiable 1.02s 1.17s
% Output : Refutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 0.05/0.09 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Tue Jun 28 23:04:42 EDT 2022
% 0.09/0.28 % CPUTime :
% 1.02/1.17 *** allocated 10000 integers for termspace/termends
% 1.02/1.17 *** allocated 10000 integers for clauses
% 1.02/1.17 *** allocated 10000 integers for justifications
% 1.02/1.17 Bliksem 1.12
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 Automatic Strategy Selection
% 1.02/1.17
% 1.02/1.17 Clauses:
% 1.02/1.17 [
% 1.02/1.17 [ =( meet( X, X ), X ) ],
% 1.02/1.17 [ =( join( X, X ), X ) ],
% 1.02/1.17 [ =( meet( X, join( X, Y ) ), X ) ],
% 1.02/1.17 [ =( join( X, meet( X, Y ) ), X ) ],
% 1.02/1.17 [ =( meet( X, Y ), meet( Y, X ) ) ],
% 1.02/1.17 [ =( join( X, Y ), join( Y, X ) ) ],
% 1.02/1.17 [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ],
% 1.02/1.17 [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ],
% 1.02/1.17 [ =( meet2( X, X ), X ) ],
% 1.02/1.17 [ =( meet2( X, Y ), meet2( Y, X ) ) ],
% 1.02/1.17 [ =( meet2( X, join( X, Y ) ), X ) ],
% 1.02/1.17 [ =( join( X, meet2( X, Y ) ), X ) ],
% 1.02/1.17 [ =( meet2( meet2( X, Y ), Z ), meet2( X, meet2( Y, Z ) ) ) ],
% 1.02/1.17 [ ~( =( meet( a, b ), meet2( a, b ) ) ) ]
% 1.02/1.17 ] .
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 percentage equality = 1.000000, percentage horn = 1.000000
% 1.02/1.17 This is a pure equality problem
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 Options Used:
% 1.02/1.17
% 1.02/1.17 useres = 1
% 1.02/1.17 useparamod = 1
% 1.02/1.17 useeqrefl = 1
% 1.02/1.17 useeqfact = 1
% 1.02/1.17 usefactor = 1
% 1.02/1.17 usesimpsplitting = 0
% 1.02/1.17 usesimpdemod = 5
% 1.02/1.17 usesimpres = 3
% 1.02/1.17
% 1.02/1.17 resimpinuse = 1000
% 1.02/1.17 resimpclauses = 20000
% 1.02/1.17 substype = eqrewr
% 1.02/1.17 backwardsubs = 1
% 1.02/1.17 selectoldest = 5
% 1.02/1.17
% 1.02/1.17 litorderings [0] = split
% 1.02/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 1.02/1.17
% 1.02/1.17 termordering = kbo
% 1.02/1.17
% 1.02/1.17 litapriori = 0
% 1.02/1.17 termapriori = 1
% 1.02/1.17 litaposteriori = 0
% 1.02/1.17 termaposteriori = 0
% 1.02/1.17 demodaposteriori = 0
% 1.02/1.17 ordereqreflfact = 0
% 1.02/1.17
% 1.02/1.17 litselect = negord
% 1.02/1.17
% 1.02/1.17 maxweight = 15
% 1.02/1.17 maxdepth = 30000
% 1.02/1.17 maxlength = 115
% 1.02/1.17 maxnrvars = 195
% 1.02/1.17 excuselevel = 1
% 1.02/1.17 increasemaxweight = 1
% 1.02/1.17
% 1.02/1.17 maxselected = 10000000
% 1.02/1.17 maxnrclauses = 10000000
% 1.02/1.17
% 1.02/1.17 showgenerated = 0
% 1.02/1.17 showkept = 0
% 1.02/1.17 showselected = 0
% 1.02/1.17 showdeleted = 0
% 1.02/1.17 showresimp = 1
% 1.02/1.17 showstatus = 2000
% 1.02/1.17
% 1.02/1.17 prologoutput = 1
% 1.02/1.17 nrgoals = 5000000
% 1.02/1.17 totalproof = 1
% 1.02/1.17
% 1.02/1.17 Symbols occurring in the translation:
% 1.02/1.17
% 1.02/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.02/1.17 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 1.02/1.17 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.02/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.17 meet [40, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.02/1.17 join [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.02/1.17 meet2 [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.02/1.17 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.02/1.17 b [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 Starting Search:
% 1.02/1.17
% 1.02/1.17 Resimplifying inuse:
% 1.02/1.17 Done
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 Intermediate Status:
% 1.02/1.17 Generated: 60884
% 1.02/1.17 Kept: 2003
% 1.02/1.17 Inuse: 277
% 1.02/1.17 Deleted: 6
% 1.02/1.17 Deletedinuse: 0
% 1.02/1.17
% 1.02/1.17 Resimplifying inuse:
% 1.02/1.17 Done
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 Bliksems!, er is een bewijs:
% 1.02/1.17 % SZS status Unsatisfiable
% 1.02/1.17 % SZS output start Refutation
% 1.02/1.17
% 1.02/1.17 clause( 2, [ =( meet( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 3, [ =( join( X, meet( X, Y ) ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 6, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 9, [ =( meet2( X, Y ), meet2( Y, X ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 10, [ =( meet2( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 11, [ =( join( X, meet2( X, Y ) ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 12, [ =( meet2( X, meet2( Y, Z ) ), meet2( meet2( X, Y ), Z ) ) ]
% 1.02/1.17 )
% 1.02/1.17 .
% 1.02/1.17 clause( 13, [ ~( =( meet2( a, b ), meet( a, b ) ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 15, [ =( meet( join( X, Y ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 16, [ ~( =( meet2( b, a ), meet( a, b ) ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 17, [ =( meet( join( Y, X ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 18, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 19, [ =( join( X, meet( Y, X ) ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 20, [ =( join( meet( X, Y ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 21, [ =( join( meet( Y, X ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 38, [ =( meet( X, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 39, [ =( join( meet2( X, Y ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 41, [ =( join( meet2( Y, X ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 42, [ =( meet( Y, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 65, [ =( meet2( meet( X, Y ), X ), meet( X, Y ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 66, [ =( meet2( meet( X, Y ), Y ), meet( X, Y ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 67, [ =( meet2( X, join( Y, X ) ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 68, [ =( meet2( join( X, Y ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 70, [ =( meet2( join( Y, X ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 73, [ =( meet2( X, meet( X, Y ) ), meet( X, Y ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 80, [ =( join( meet2( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 84, [ =( meet2( meet2( join( meet2( X, Y ), Z ), X ), Y ), meet2( X
% 1.02/1.17 , Y ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 118, [ =( meet( meet( Z, X ), meet2( X, Y ) ), meet( Z, meet2( X, Y
% 1.02/1.17 ) ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 159, [ =( join( meet( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 170, [ =( join( X, meet( meet2( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 185, [ =( join( X, meet2( meet2( Z, X ), Y ) ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 205, [ =( join( X, meet2( meet( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 267, [ =( meet2( meet2( meet( X, Y ), Z ), X ), meet2( meet( X, Y )
% 1.02/1.17 , Z ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 1909, [ =( join( meet( X, meet2( Y, Z ) ), meet( X, Y ) ), meet( X
% 1.02/1.17 , Y ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 2446, [ =( join( meet2( Y, X ), meet( X, Y ) ), meet( X, Y ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 2466, [ =( meet2( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 .
% 1.02/1.17 clause( 2467, [] )
% 1.02/1.17 .
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 % SZS output end Refutation
% 1.02/1.17 found a proof!
% 1.02/1.17
% 1.02/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.02/1.17
% 1.02/1.17 initialclauses(
% 1.02/1.17 [ clause( 2469, [ =( meet( X, X ), X ) ] )
% 1.02/1.17 , clause( 2470, [ =( join( X, X ), X ) ] )
% 1.02/1.17 , clause( 2471, [ =( meet( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , clause( 2472, [ =( join( X, meet( X, Y ) ), X ) ] )
% 1.02/1.17 , clause( 2473, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 , clause( 2474, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.02/1.17 , clause( 2475, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , clause( 2476, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , clause( 2477, [ =( meet2( X, X ), X ) ] )
% 1.02/1.17 , clause( 2478, [ =( meet2( X, Y ), meet2( Y, X ) ) ] )
% 1.02/1.17 , clause( 2479, [ =( meet2( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , clause( 2480, [ =( join( X, meet2( X, Y ) ), X ) ] )
% 1.02/1.17 , clause( 2481, [ =( meet2( meet2( X, Y ), Z ), meet2( X, meet2( Y, Z ) ) )
% 1.02/1.17 ] )
% 1.02/1.17 , clause( 2482, [ ~( =( meet( a, b ), meet2( a, b ) ) ) ] )
% 1.02/1.17 ] ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 2, [ =( meet( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , clause( 2471, [ =( meet( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 3, [ =( join( X, meet( X, Y ) ), X ) ] )
% 1.02/1.17 , clause( 2472, [ =( join( X, meet( X, Y ) ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 , clause( 2473, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.02/1.17 , clause( 2474, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2502, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ] )
% 1.02/1.17 , clause( 2475, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 6, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ] )
% 1.02/1.17 , clause( 2502, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 9, [ =( meet2( X, Y ), meet2( Y, X ) ) ] )
% 1.02/1.17 , clause( 2478, [ =( meet2( X, Y ), meet2( Y, X ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 10, [ =( meet2( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , clause( 2479, [ =( meet2( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 11, [ =( join( X, meet2( X, Y ) ), X ) ] )
% 1.02/1.17 , clause( 2480, [ =( join( X, meet2( X, Y ) ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2536, [ =( meet2( X, meet2( Y, Z ) ), meet2( meet2( X, Y ), Z ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , clause( 2481, [ =( meet2( meet2( X, Y ), Z ), meet2( X, meet2( Y, Z ) ) )
% 1.02/1.17 ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 12, [ =( meet2( X, meet2( Y, Z ) ), meet2( meet2( X, Y ), Z ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , clause( 2536, [ =( meet2( X, meet2( Y, Z ) ), meet2( meet2( X, Y ), Z ) )
% 1.02/1.17 ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2547, [ ~( =( meet2( a, b ), meet( a, b ) ) ) ] )
% 1.02/1.17 , clause( 2482, [ ~( =( meet( a, b ), meet2( a, b ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 13, [ ~( =( meet2( a, b ), meet( a, b ) ) ) ] )
% 1.02/1.17 , clause( 2547, [ ~( =( meet2( a, b ), meet( a, b ) ) ) ] )
% 1.02/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2548, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 2, [ =( meet( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2549, [ =( X, meet( join( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2548, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, join( X, Y ) )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2552, [ =( meet( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , clause( 2549, [ =( X, meet( join( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 15, [ =( meet( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , clause( 2552, [ =( meet( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2553, [ ~( =( meet( a, b ), meet2( a, b ) ) ) ] )
% 1.02/1.17 , clause( 13, [ ~( =( meet2( a, b ), meet( a, b ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2554, [ ~( =( meet( a, b ), meet2( b, a ) ) ) ] )
% 1.02/1.17 , clause( 9, [ =( meet2( X, Y ), meet2( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2553, [ ~( =( meet( a, b ), meet2( a, b ) ) ) ] )
% 1.02/1.17 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 1.02/1.17 ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2557, [ ~( =( meet2( b, a ), meet( a, b ) ) ) ] )
% 1.02/1.17 , clause( 2554, [ ~( =( meet( a, b ), meet2( b, a ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 16, [ ~( =( meet2( b, a ), meet( a, b ) ) ) ] )
% 1.02/1.17 , clause( 2557, [ ~( =( meet2( b, a ), meet( a, b ) ) ) ] )
% 1.02/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2558, [ =( X, meet( join( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 15, [ =( meet( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2559, [ =( X, meet( join( Y, X ), X ) ) ] )
% 1.02/1.17 , clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2558, [ =( X, meet( join( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2562, [ =( meet( join( Y, X ), X ), X ) ] )
% 1.02/1.17 , clause( 2559, [ =( X, meet( join( Y, X ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 17, [ =( meet( join( Y, X ), X ), X ) ] )
% 1.02/1.17 , clause( 2562, [ =( meet( join( Y, X ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2564, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 3, [ =( join( X, meet( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2567, [ =( join( X, Y ), join( join( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 15, [ =( meet( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , 0, clause( 2564, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 1.02/1.17 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.17 :=( X, join( X, Y ) ), :=( Y, X )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2568, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 1.02/1.17 , clause( 2567, [ =( join( X, Y ), join( join( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 18, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 1.02/1.17 , clause( 2568, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2569, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 3, [ =( join( X, meet( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2570, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 1.02/1.17 , clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2569, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 1.02/1.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2573, [ =( join( X, meet( Y, X ) ), X ) ] )
% 1.02/1.17 , clause( 2570, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 19, [ =( join( X, meet( Y, X ) ), X ) ] )
% 1.02/1.17 , clause( 2573, [ =( join( X, meet( Y, X ) ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2574, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 3, [ =( join( X, meet( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2575, [ =( X, join( meet( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2574, [ =( X, join( X, meet( X, Y ) ) ) ] )
% 1.02/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, meet( X, Y ) )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2578, [ =( join( meet( X, Y ), X ), X ) ] )
% 1.02/1.17 , clause( 2575, [ =( X, join( meet( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 20, [ =( join( meet( X, Y ), X ), X ) ] )
% 1.02/1.17 , clause( 2578, [ =( join( meet( X, Y ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2579, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 1.02/1.17 , clause( 19, [ =( join( X, meet( Y, X ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2580, [ =( X, join( meet( Y, X ), X ) ) ] )
% 1.02/1.17 , clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2579, [ =( X, join( X, meet( Y, X ) ) ) ] )
% 1.02/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, meet( Y, X ) )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2583, [ =( join( meet( Y, X ), X ), X ) ] )
% 1.02/1.17 , clause( 2580, [ =( X, join( meet( Y, X ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 21, [ =( join( meet( Y, X ), X ), X ) ] )
% 1.02/1.17 , clause( 2583, [ =( join( meet( Y, X ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2585, [ =( Y, meet( join( X, Y ), Y ) ) ] )
% 1.02/1.17 , clause( 17, [ =( meet( join( Y, X ), X ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2586, [ =( meet2( X, Y ), meet( X, meet2( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 11, [ =( join( X, meet2( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, clause( 2585, [ =( Y, meet( join( X, Y ), Y ) ) ] )
% 1.02/1.17 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, meet2( X, Y ) )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2587, [ =( meet( X, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 , clause( 2586, [ =( meet2( X, Y ), meet( X, meet2( X, Y ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 38, [ =( meet( X, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 , clause( 2587, [ =( meet( X, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2588, [ =( X, join( X, meet2( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 11, [ =( join( X, meet2( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2589, [ =( X, join( meet2( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2588, [ =( X, join( X, meet2( X, Y ) ) ) ] )
% 1.02/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, meet2( X, Y ) )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2592, [ =( join( meet2( X, Y ), X ), X ) ] )
% 1.02/1.17 , clause( 2589, [ =( X, join( meet2( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 39, [ =( join( meet2( X, Y ), X ), X ) ] )
% 1.02/1.17 , clause( 2592, [ =( join( meet2( X, Y ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2593, [ =( X, join( meet2( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 39, [ =( join( meet2( X, Y ), X ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2594, [ =( X, join( meet2( Y, X ), X ) ) ] )
% 1.02/1.17 , clause( 9, [ =( meet2( X, Y ), meet2( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2593, [ =( X, join( meet2( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2597, [ =( join( meet2( Y, X ), X ), X ) ] )
% 1.02/1.17 , clause( 2594, [ =( X, join( meet2( Y, X ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 41, [ =( join( meet2( Y, X ), X ), X ) ] )
% 1.02/1.17 , clause( 2597, [ =( join( meet2( Y, X ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2599, [ =( X, meet( join( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 15, [ =( meet( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2600, [ =( meet2( X, Y ), meet( Y, meet2( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 41, [ =( join( meet2( Y, X ), X ), X ) ] )
% 1.02/1.17 , 0, clause( 2599, [ =( X, meet( join( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.02/1.17 :=( X, meet2( X, Y ) ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2601, [ =( meet( Y, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 , clause( 2600, [ =( meet2( X, Y ), meet( Y, meet2( X, Y ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 42, [ =( meet( Y, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 , clause( 2601, [ =( meet( Y, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2603, [ =( X, meet2( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 10, [ =( meet2( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2604, [ =( meet( X, Y ), meet2( meet( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 20, [ =( join( meet( X, Y ), X ), X ) ] )
% 1.02/1.17 , 0, clause( 2603, [ =( X, meet2( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.17 :=( X, meet( X, Y ) ), :=( Y, X )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2605, [ =( meet2( meet( X, Y ), X ), meet( X, Y ) ) ] )
% 1.02/1.17 , clause( 2604, [ =( meet( X, Y ), meet2( meet( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 65, [ =( meet2( meet( X, Y ), X ), meet( X, Y ) ) ] )
% 1.02/1.17 , clause( 2605, [ =( meet2( meet( X, Y ), X ), meet( X, Y ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2607, [ =( X, meet2( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 10, [ =( meet2( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2608, [ =( meet( X, Y ), meet2( meet( X, Y ), Y ) ) ] )
% 1.02/1.17 , clause( 21, [ =( join( meet( Y, X ), X ), X ) ] )
% 1.02/1.17 , 0, clause( 2607, [ =( X, meet2( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.02/1.17 :=( X, meet( X, Y ) ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2609, [ =( meet2( meet( X, Y ), Y ), meet( X, Y ) ) ] )
% 1.02/1.17 , clause( 2608, [ =( meet( X, Y ), meet2( meet( X, Y ), Y ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 66, [ =( meet2( meet( X, Y ), Y ), meet( X, Y ) ) ] )
% 1.02/1.17 , clause( 2609, [ =( meet2( meet( X, Y ), Y ), meet( X, Y ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2610, [ =( X, meet2( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 10, [ =( meet2( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2611, [ =( X, meet2( X, join( Y, X ) ) ) ] )
% 1.02/1.17 , clause( 5, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2610, [ =( X, meet2( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2614, [ =( meet2( X, join( Y, X ) ), X ) ] )
% 1.02/1.17 , clause( 2611, [ =( X, meet2( X, join( Y, X ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 67, [ =( meet2( X, join( Y, X ) ), X ) ] )
% 1.02/1.17 , clause( 2614, [ =( meet2( X, join( Y, X ) ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2615, [ =( X, meet2( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 10, [ =( meet2( X, join( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2616, [ =( X, meet2( join( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 9, [ =( meet2( X, Y ), meet2( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2615, [ =( X, meet2( X, join( X, Y ) ) ) ] )
% 1.02/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, join( X, Y ) )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2619, [ =( meet2( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , clause( 2616, [ =( X, meet2( join( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 68, [ =( meet2( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , clause( 2619, [ =( meet2( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2620, [ =( X, meet2( X, join( Y, X ) ) ) ] )
% 1.02/1.17 , clause( 67, [ =( meet2( X, join( Y, X ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2621, [ =( X, meet2( join( Y, X ), X ) ) ] )
% 1.02/1.17 , clause( 9, [ =( meet2( X, Y ), meet2( Y, X ) ) ] )
% 1.02/1.17 , 0, clause( 2620, [ =( X, meet2( X, join( Y, X ) ) ) ] )
% 1.02/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, join( Y, X ) )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2624, [ =( meet2( join( Y, X ), X ), X ) ] )
% 1.02/1.17 , clause( 2621, [ =( X, meet2( join( Y, X ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 70, [ =( meet2( join( Y, X ), X ), X ) ] )
% 1.02/1.17 , clause( 2624, [ =( meet2( join( Y, X ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2626, [ =( Y, meet2( join( X, Y ), Y ) ) ] )
% 1.02/1.17 , clause( 70, [ =( meet2( join( Y, X ), X ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2627, [ =( meet( X, Y ), meet2( X, meet( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 3, [ =( join( X, meet( X, Y ) ), X ) ] )
% 1.02/1.17 , 0, clause( 2626, [ =( Y, meet2( join( X, Y ), Y ) ) ] )
% 1.02/1.17 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, meet( X, Y ) )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2628, [ =( meet2( X, meet( X, Y ) ), meet( X, Y ) ) ] )
% 1.02/1.17 , clause( 2627, [ =( meet( X, Y ), meet2( X, meet( X, Y ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 73, [ =( meet2( X, meet( X, Y ) ), meet( X, Y ) ) ] )
% 1.02/1.17 , clause( 2628, [ =( meet2( X, meet( X, Y ) ), meet( X, Y ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2630, [ =( X, join( meet2( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 39, [ =( join( meet2( X, Y ), X ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2631, [ =( X, join( meet2( meet2( X, Y ), Z ), X ) ) ] )
% 1.02/1.17 , clause( 12, [ =( meet2( X, meet2( Y, Z ) ), meet2( meet2( X, Y ), Z ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , 0, clause( 2630, [ =( X, join( meet2( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, meet2( Y, Z ) )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2632, [ =( join( meet2( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 , clause( 2631, [ =( X, join( meet2( meet2( X, Y ), Z ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 80, [ =( join( meet2( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 , clause( 2632, [ =( join( meet2( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2633, [ =( X, meet2( join( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 68, [ =( meet2( join( X, Y ), X ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2635, [ =( meet2( X, Y ), meet2( meet2( join( meet2( X, Y ), Z ), X
% 1.02/1.17 ), Y ) ) ] )
% 1.02/1.17 , clause( 12, [ =( meet2( X, meet2( Y, Z ) ), meet2( meet2( X, Y ), Z ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , 0, clause( 2633, [ =( X, meet2( join( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, 4, substitution( 0, [ :=( X, join( meet2( X, Y ), Z ) ), :=( Y, X ),
% 1.02/1.17 :=( Z, Y )] ), substitution( 1, [ :=( X, meet2( X, Y ) ), :=( Y, Z )] )
% 1.02/1.17 ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2636, [ =( meet2( meet2( join( meet2( X, Y ), Z ), X ), Y ), meet2(
% 1.02/1.17 X, Y ) ) ] )
% 1.02/1.17 , clause( 2635, [ =( meet2( X, Y ), meet2( meet2( join( meet2( X, Y ), Z )
% 1.02/1.17 , X ), Y ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 84, [ =( meet2( meet2( join( meet2( X, Y ), Z ), X ), Y ), meet2( X
% 1.02/1.17 , Y ) ) ] )
% 1.02/1.17 , clause( 2636, [ =( meet2( meet2( join( meet2( X, Y ), Z ), X ), Y ),
% 1.02/1.17 meet2( X, Y ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2638, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ] )
% 1.02/1.17 , clause( 6, [ =( meet( X, meet( Y, Z ) ), meet( meet( X, Y ), Z ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2641, [ =( meet( meet( X, Y ), meet2( Y, Z ) ), meet( X, meet2( Y,
% 1.02/1.17 Z ) ) ) ] )
% 1.02/1.17 , clause( 38, [ =( meet( X, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 , 0, clause( 2638, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) )
% 1.02/1.17 ] )
% 1.02/1.17 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, Y ), :=( Z, meet2( Y, Z ) )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 118, [ =( meet( meet( Z, X ), meet2( X, Y ) ), meet( Z, meet2( X, Y
% 1.02/1.17 ) ) ) ] )
% 1.02/1.17 , clause( 2641, [ =( meet( meet( X, Y ), meet2( Y, Z ) ), meet( X, meet2( Y
% 1.02/1.17 , Z ) ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2646, [ =( X, join( meet2( meet2( X, Y ), Z ), X ) ) ] )
% 1.02/1.17 , clause( 80, [ =( join( meet2( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2647, [ =( X, join( meet( meet2( X, Y ), Z ), X ) ) ] )
% 1.02/1.17 , clause( 73, [ =( meet2( X, meet( X, Y ) ), meet( X, Y ) ) ] )
% 1.02/1.17 , 0, clause( 2646, [ =( X, join( meet2( meet2( X, Y ), Z ), X ) ) ] )
% 1.02/1.17 , 0, 3, substitution( 0, [ :=( X, meet2( X, Y ) ), :=( Y, Z )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, meet( meet2( X, Y ), Z
% 1.02/1.17 ) )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2649, [ =( join( meet( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 , clause( 2647, [ =( X, join( meet( meet2( X, Y ), Z ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 159, [ =( join( meet( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 , clause( 2649, [ =( join( meet( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2652, [ =( join( X, Y ), join( join( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 18, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2654, [ =( join( meet( meet2( X, Y ), Z ), X ), join( X, meet(
% 1.02/1.17 meet2( X, Y ), Z ) ) ) ] )
% 1.02/1.17 , clause( 159, [ =( join( meet( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 , 0, clause( 2652, [ =( join( X, Y ), join( join( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 substitution( 1, [ :=( X, meet( meet2( X, Y ), Z ) ), :=( Y, X )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2655, [ =( X, join( X, meet( meet2( X, Y ), Z ) ) ) ] )
% 1.02/1.17 , clause( 159, [ =( join( meet( meet2( X, Y ), Z ), X ), X ) ] )
% 1.02/1.17 , 0, clause( 2654, [ =( join( meet( meet2( X, Y ), Z ), X ), join( X, meet(
% 1.02/1.17 meet2( X, Y ), Z ) ) ) ] )
% 1.02/1.17 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2657, [ =( join( X, meet( meet2( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 , clause( 2655, [ =( X, join( X, meet( meet2( X, Y ), Z ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 170, [ =( join( X, meet( meet2( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 , clause( 2657, [ =( join( X, meet( meet2( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2660, [ =( X, join( X, meet( meet2( X, Y ), Z ) ) ) ] )
% 1.02/1.17 , clause( 170, [ =( join( X, meet( meet2( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2662, [ =( X, join( X, meet2( Z, meet2( X, Y ) ) ) ) ] )
% 1.02/1.17 , clause( 42, [ =( meet( Y, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 , 0, clause( 2660, [ =( X, join( X, meet( meet2( X, Y ), Z ) ) ) ] )
% 1.02/1.17 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, meet2( X, Y ) )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, meet2( Z, meet2( X, Y )
% 1.02/1.17 ) )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2663, [ =( X, join( X, meet2( meet2( Y, X ), Z ) ) ) ] )
% 1.02/1.17 , clause( 12, [ =( meet2( X, meet2( Y, Z ) ), meet2( meet2( X, Y ), Z ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , 0, clause( 2662, [ =( X, join( X, meet2( Z, meet2( X, Y ) ) ) ) ] )
% 1.02/1.17 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2664, [ =( join( X, meet2( meet2( Y, X ), Z ) ), X ) ] )
% 1.02/1.17 , clause( 2663, [ =( X, join( X, meet2( meet2( Y, X ), Z ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 185, [ =( join( X, meet2( meet2( Z, X ), Y ) ), X ) ] )
% 1.02/1.17 , clause( 2664, [ =( join( X, meet2( meet2( Y, X ), Z ) ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2666, [ =( X, join( X, meet2( meet2( Y, X ), Z ) ) ) ] )
% 1.02/1.17 , clause( 185, [ =( join( X, meet2( meet2( Z, X ), Y ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2667, [ =( X, join( X, meet2( meet( X, Y ), Z ) ) ) ] )
% 1.02/1.17 , clause( 65, [ =( meet2( meet( X, Y ), X ), meet( X, Y ) ) ] )
% 1.02/1.17 , 0, clause( 2666, [ =( X, join( X, meet2( meet2( Y, X ), Z ) ) ) ] )
% 1.02/1.17 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, meet( X, Y ) ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2668, [ =( join( X, meet2( meet( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 , clause( 2667, [ =( X, join( X, meet2( meet( X, Y ), Z ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 205, [ =( join( X, meet2( meet( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 , clause( 2668, [ =( join( X, meet2( meet( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2670, [ =( X, meet2( X, join( Y, X ) ) ) ] )
% 1.02/1.17 , clause( 67, [ =( meet2( X, join( Y, X ) ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2673, [ =( meet2( meet( X, Y ), Z ), meet2( meet2( meet( X, Y ), Z
% 1.02/1.17 ), X ) ) ] )
% 1.02/1.17 , clause( 205, [ =( join( X, meet2( meet( X, Y ), Z ) ), X ) ] )
% 1.02/1.17 , 0, clause( 2670, [ =( X, meet2( X, join( Y, X ) ) ) ] )
% 1.02/1.17 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 substitution( 1, [ :=( X, meet2( meet( X, Y ), Z ) ), :=( Y, X )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2674, [ =( meet2( meet2( meet( X, Y ), Z ), X ), meet2( meet( X, Y
% 1.02/1.17 ), Z ) ) ] )
% 1.02/1.17 , clause( 2673, [ =( meet2( meet( X, Y ), Z ), meet2( meet2( meet( X, Y ),
% 1.02/1.17 Z ), X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 267, [ =( meet2( meet2( meet( X, Y ), Z ), X ), meet2( meet( X, Y )
% 1.02/1.17 , Z ) ) ] )
% 1.02/1.17 , clause( 2674, [ =( meet2( meet2( meet( X, Y ), Z ), X ), meet2( meet( X,
% 1.02/1.17 Y ), Z ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2676, [ =( X, join( meet( X, Y ), X ) ) ] )
% 1.02/1.17 , clause( 20, [ =( join( meet( X, Y ), X ), X ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2677, [ =( meet( X, Y ), join( meet( X, meet2( Y, Z ) ), meet( X, Y
% 1.02/1.17 ) ) ) ] )
% 1.02/1.17 , clause( 118, [ =( meet( meet( Z, X ), meet2( X, Y ) ), meet( Z, meet2( X
% 1.02/1.17 , Y ) ) ) ] )
% 1.02/1.17 , 0, clause( 2676, [ =( X, join( meet( X, Y ), X ) ) ] )
% 1.02/1.17 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.02/1.17 substitution( 1, [ :=( X, meet( X, Y ) ), :=( Y, meet2( Y, Z ) )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2678, [ =( join( meet( X, meet2( Y, Z ) ), meet( X, Y ) ), meet( X
% 1.02/1.17 , Y ) ) ] )
% 1.02/1.17 , clause( 2677, [ =( meet( X, Y ), join( meet( X, meet2( Y, Z ) ), meet( X
% 1.02/1.17 , Y ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 1909, [ =( join( meet( X, meet2( Y, Z ) ), meet( X, Y ) ), meet( X
% 1.02/1.17 , Y ) ) ] )
% 1.02/1.17 , clause( 2678, [ =( join( meet( X, meet2( Y, Z ) ), meet( X, Y ) ), meet(
% 1.02/1.17 X, Y ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2680, [ =( meet( X, Y ), join( meet( X, meet2( Y, Z ) ), meet( X, Y
% 1.02/1.17 ) ) ) ] )
% 1.02/1.17 , clause( 1909, [ =( join( meet( X, meet2( Y, Z ) ), meet( X, Y ) ), meet(
% 1.02/1.17 X, Y ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2683, [ =( meet( X, Y ), join( meet2( Y, X ), meet( X, Y ) ) ) ] )
% 1.02/1.17 , clause( 42, [ =( meet( Y, meet2( X, Y ) ), meet2( X, Y ) ) ] )
% 1.02/1.17 , 0, clause( 2680, [ =( meet( X, Y ), join( meet( X, meet2( Y, Z ) ), meet(
% 1.02/1.17 X, Y ) ) ) ] )
% 1.02/1.17 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2688, [ =( join( meet2( Y, X ), meet( X, Y ) ), meet( X, Y ) ) ] )
% 1.02/1.17 , clause( 2683, [ =( meet( X, Y ), join( meet2( Y, X ), meet( X, Y ) ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 2446, [ =( join( meet2( Y, X ), meet( X, Y ) ), meet( X, Y ) ) ] )
% 1.02/1.17 , clause( 2688, [ =( join( meet2( Y, X ), meet( X, Y ) ), meet( X, Y ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2690, [ =( meet2( X, Y ), meet2( meet2( join( meet2( X, Y ), Z ), X
% 1.02/1.17 ), Y ) ) ] )
% 1.02/1.17 , clause( 84, [ =( meet2( meet2( join( meet2( X, Y ), Z ), X ), Y ), meet2(
% 1.02/1.17 X, Y ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2694, [ =( meet2( X, Y ), meet2( meet2( meet( Y, X ), X ), Y ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , clause( 2446, [ =( join( meet2( Y, X ), meet( X, Y ) ), meet( X, Y ) ) ]
% 1.02/1.17 )
% 1.02/1.17 , 0, clause( 2690, [ =( meet2( X, Y ), meet2( meet2( join( meet2( X, Y ), Z
% 1.02/1.17 ), X ), Y ) ) ] )
% 1.02/1.17 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, Y ), :=( Z, meet( Y, X ) )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2695, [ =( meet2( X, Y ), meet2( meet( Y, X ), X ) ) ] )
% 1.02/1.17 , clause( 267, [ =( meet2( meet2( meet( X, Y ), Z ), X ), meet2( meet( X, Y
% 1.02/1.17 ), Z ) ) ] )
% 1.02/1.17 , 0, clause( 2694, [ =( meet2( X, Y ), meet2( meet2( meet( Y, X ), X ), Y )
% 1.02/1.17 ) ] )
% 1.02/1.17 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 1.02/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 paramod(
% 1.02/1.17 clause( 2696, [ =( meet2( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 , clause( 66, [ =( meet2( meet( X, Y ), Y ), meet( X, Y ) ) ] )
% 1.02/1.17 , 0, clause( 2695, [ =( meet2( X, Y ), meet2( meet( Y, X ), X ) ) ] )
% 1.02/1.17 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.02/1.17 :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 2466, [ =( meet2( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 , clause( 2696, [ =( meet2( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.17 )] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2698, [ =( meet( Y, X ), meet2( X, Y ) ) ] )
% 1.02/1.17 , clause( 2466, [ =( meet2( X, Y ), meet( Y, X ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 eqswap(
% 1.02/1.17 clause( 2699, [ ~( =( meet( a, b ), meet2( b, a ) ) ) ] )
% 1.02/1.17 , clause( 16, [ ~( =( meet2( b, a ), meet( a, b ) ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [] )).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 resolution(
% 1.02/1.17 clause( 2700, [] )
% 1.02/1.17 , clause( 2699, [ ~( =( meet( a, b ), meet2( b, a ) ) ) ] )
% 1.02/1.17 , 0, clause( 2698, [ =( meet( Y, X ), meet2( X, Y ) ) ] )
% 1.02/1.17 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 1.02/1.17 ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 subsumption(
% 1.02/1.17 clause( 2467, [] )
% 1.02/1.17 , clause( 2700, [] )
% 1.02/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 end.
% 1.02/1.17
% 1.02/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.02/1.17
% 1.02/1.17 Memory use:
% 1.02/1.17
% 1.02/1.17 space for terms: 34962
% 1.02/1.17 space for clauses: 274596
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 clauses generated: 99938
% 1.02/1.17 clauses kept: 2468
% 1.02/1.17 clauses selected: 347
% 1.02/1.17 clauses deleted: 8
% 1.02/1.17 clauses inuse deleted: 0
% 1.02/1.17
% 1.02/1.17 subsentry: 9698
% 1.02/1.17 literals s-matched: 9186
% 1.02/1.17 literals matched: 9168
% 1.02/1.17 full subsumption: 0
% 1.02/1.17
% 1.02/1.17 checksum: -218423313
% 1.02/1.17
% 1.02/1.17
% 1.02/1.17 Bliksem ended
%------------------------------------------------------------------------------