TSTP Solution File: GRP166-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP166-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 : Sat Jul 16 07:35:40 EDT 2022
% Result : Unsatisfiable 0.81s 1.20s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP166-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 07:44:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.81/1.20 *** allocated 10000 integers for termspace/termends
% 0.81/1.20 *** allocated 10000 integers for clauses
% 0.81/1.20 *** allocated 10000 integers for justifications
% 0.81/1.20 Bliksem 1.12
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Automatic Strategy Selection
% 0.81/1.20
% 0.81/1.20 Clauses:
% 0.81/1.20 [
% 0.81/1.20 [ =( multiply( identity, X ), X ) ],
% 0.81/1.20 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.81/1.20 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.81/1.20 ],
% 0.81/1.20 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.81/1.20 ,
% 0.81/1.20 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.81/1.20 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.81/1.20 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.81/1.20 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.81/1.20 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.81/1.20 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.81/1.20 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.81/1.20 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.81/1.20 ,
% 0.81/1.20 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.81/1.20 ,
% 0.81/1.20 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.81/1.20 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.81/1.20 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.81/1.20 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.81/1.20 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.81/1.20 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.81/1.20 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.81/1.20 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.81/1.20 [ =( 'least_upper_bound'( a, identity ), a ) ],
% 0.81/1.20 [ =( 'least_upper_bound'( b, identity ), b ) ],
% 0.81/1.20 [ ~( =( 'least_upper_bound'( a, multiply( a, b ) ), multiply( a, b ) ) )
% 0.81/1.20 ]
% 0.81/1.20 ] .
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 percentage equality = 1.000000, percentage horn = 1.000000
% 0.81/1.20 This is a pure equality problem
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Options Used:
% 0.81/1.20
% 0.81/1.20 useres = 1
% 0.81/1.20 useparamod = 1
% 0.81/1.20 useeqrefl = 1
% 0.81/1.20 useeqfact = 1
% 0.81/1.20 usefactor = 1
% 0.81/1.20 usesimpsplitting = 0
% 0.81/1.20 usesimpdemod = 5
% 0.81/1.20 usesimpres = 3
% 0.81/1.20
% 0.81/1.20 resimpinuse = 1000
% 0.81/1.20 resimpclauses = 20000
% 0.81/1.20 substype = eqrewr
% 0.81/1.20 backwardsubs = 1
% 0.81/1.20 selectoldest = 5
% 0.81/1.20
% 0.81/1.20 litorderings [0] = split
% 0.81/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.20
% 0.81/1.20 termordering = kbo
% 0.81/1.20
% 0.81/1.20 litapriori = 0
% 0.81/1.20 termapriori = 1
% 0.81/1.20 litaposteriori = 0
% 0.81/1.20 termaposteriori = 0
% 0.81/1.20 demodaposteriori = 0
% 0.81/1.20 ordereqreflfact = 0
% 0.81/1.20
% 0.81/1.20 litselect = negord
% 0.81/1.20
% 0.81/1.20 maxweight = 15
% 0.81/1.20 maxdepth = 30000
% 0.81/1.20 maxlength = 115
% 0.81/1.20 maxnrvars = 195
% 0.81/1.20 excuselevel = 1
% 0.81/1.20 increasemaxweight = 1
% 0.81/1.20
% 0.81/1.20 maxselected = 10000000
% 0.81/1.20 maxnrclauses = 10000000
% 0.81/1.20
% 0.81/1.20 showgenerated = 0
% 0.81/1.20 showkept = 0
% 0.81/1.20 showselected = 0
% 0.81/1.20 showdeleted = 0
% 0.81/1.20 showresimp = 1
% 0.81/1.20 showstatus = 2000
% 0.81/1.20
% 0.81/1.20 prologoutput = 1
% 0.81/1.20 nrgoals = 5000000
% 0.81/1.20 totalproof = 1
% 0.81/1.20
% 0.81/1.20 Symbols occurring in the translation:
% 0.81/1.20
% 0.81/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.20 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.81/1.20 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.81/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.20 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.81/1.20 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.81/1.20 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.81/1.20 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.81/1.20 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.81/1.20 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.81/1.20 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Starting Search:
% 0.81/1.20
% 0.81/1.20 Resimplifying inuse:
% 0.81/1.20 Done
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Intermediate Status:
% 0.81/1.20 Generated: 27623
% 0.81/1.20 Kept: 2010
% 0.81/1.20 Inuse: 273
% 0.81/1.20 Deleted: 17
% 0.81/1.20 Deletedinuse: 6
% 0.81/1.20
% 0.81/1.20 Resimplifying inuse:
% 0.81/1.20
% 0.81/1.20 Bliksems!, er is een bewijs:
% 0.81/1.20 % SZS status Unsatisfiable
% 0.81/1.20 % SZS output start Refutation
% 0.81/1.20
% 0.81/1.20 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.81/1.20 , Z ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.81/1.20 X ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.81/1.20 ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.81/1.20 ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.81/1.20 X ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.81/1.20 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 16, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 17, [ ~( =( 'least_upper_bound'( a, multiply( a, b ) ), multiply( a
% 0.81/1.20 , b ) ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 19, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.81/1.20 identity ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.81/1.20 ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 24, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.81/1.20 X ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 141, [ ~( =( 'least_upper_bound'( multiply( a, b ), a ), multiply(
% 0.81/1.20 a, b ) ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 174, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 179, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.81/1.20 ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 180, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.81/1.20 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 381, [ =( multiply( X, identity ), X ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 980, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 1059, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply( X
% 0.81/1.20 , b ) ) ] )
% 0.81/1.20 .
% 0.81/1.20 clause( 2029, [] )
% 0.81/1.20 .
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 % SZS output end Refutation
% 0.81/1.20 found a proof!
% 0.81/1.20
% 0.81/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.20
% 0.81/1.20 initialclauses(
% 0.81/1.20 [ clause( 2031, [ =( multiply( identity, X ), X ) ] )
% 0.81/1.20 , clause( 2032, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.81/1.20 , clause( 2033, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.81/1.20 Y, Z ) ) ) ] )
% 0.81/1.20 , clause( 2034, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.81/1.20 Y, X ) ) ] )
% 0.81/1.20 , clause( 2035, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.81/1.20 ) ) ] )
% 0.81/1.20 , clause( 2036, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.81/1.20 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.81/1.20 , clause( 2037, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.81/1.20 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.81/1.20 , clause( 2038, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.81/1.20 , clause( 2039, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.81/1.20 , clause( 2040, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.81/1.20 ), X ) ] )
% 0.81/1.20 , clause( 2041, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.81/1.20 ), X ) ] )
% 0.81/1.20 , clause( 2042, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.81/1.20 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.81/1.20 , clause( 2043, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.81/1.20 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.81/1.20 , clause( 2044, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.81/1.20 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.81/1.20 , clause( 2045, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.81/1.20 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.81/1.20 , clause( 2046, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 0.81/1.20 , clause( 2047, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.81/1.20 , clause( 2048, [ ~( =( 'least_upper_bound'( a, multiply( a, b ) ),
% 0.81/1.20 multiply( a, b ) ) ) ] )
% 0.81/1.20 ] ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.81/1.20 , clause( 2031, [ =( multiply( identity, X ), X ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.81/1.20 , clause( 2032, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2054, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.81/1.20 Y ), Z ) ) ] )
% 0.81/1.20 , clause( 2033, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.81/1.20 Y, Z ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.81/1.20 , Z ) ) ] )
% 0.81/1.20 , clause( 2054, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.81/1.20 , Y ), Z ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.81/1.20 X ) ) ] )
% 0.81/1.20 , clause( 2034, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.81/1.20 Y, X ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.81/1.20 ] )
% 0.81/1.20 , clause( 2035, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.81/1.20 ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.81/1.20 ) ] )
% 0.81/1.20 , clause( 2040, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.81/1.20 ), X ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.81/1.20 X ) ] )
% 0.81/1.20 , clause( 2041, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.81/1.20 ), X ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2088, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.81/1.20 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.81/1.20 , clause( 2043, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.81/1.20 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.81/1.20 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.81/1.20 , clause( 2088, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 0.81/1.20 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 16, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.81/1.20 , clause( 2047, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.81/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 17, [ ~( =( 'least_upper_bound'( a, multiply( a, b ) ), multiply( a
% 0.81/1.20 , b ) ) ) ] )
% 0.81/1.20 , clause( 2048, [ ~( =( 'least_upper_bound'( a, multiply( a, b ) ),
% 0.81/1.20 multiply( a, b ) ) ) ] )
% 0.81/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2120, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 0.81/1.20 , clause( 16, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.81/1.20 , 0, substitution( 0, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2121, [ =( b, 'least_upper_bound'( identity, b ) ) ] )
% 0.81/1.20 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.81/1.20 ) ] )
% 0.81/1.20 , 0, clause( 2120, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 0.81/1.20 , 0, 2, substitution( 0, [ :=( X, b ), :=( Y, identity )] ), substitution(
% 0.81/1.20 1, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2124, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.81/1.20 , clause( 2121, [ =( b, 'least_upper_bound'( identity, b ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 19, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.81/1.20 , clause( 2124, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.81/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2126, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.81/1.20 Y, Z ) ) ) ] )
% 0.81/1.20 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.81/1.20 ), Z ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2131, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.81/1.20 , identity ) ) ] )
% 0.81/1.20 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.81/1.20 , 0, clause( 2126, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.81/1.20 multiply( Y, Z ) ) ) ] )
% 0.81/1.20 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.81/1.20 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.81/1.20 identity ) ) ] )
% 0.81/1.20 , clause( 2131, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.81/1.20 X, identity ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2136, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.81/1.20 Y, Z ) ) ) ] )
% 0.81/1.20 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.81/1.20 ), Z ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2141, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.81/1.20 ) ] )
% 0.81/1.20 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.81/1.20 , 0, clause( 2136, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.81/1.20 multiply( Y, Z ) ) ) ] )
% 0.81/1.20 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.81/1.20 :=( Y, identity ), :=( Z, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.81/1.20 ] )
% 0.81/1.20 , clause( 2141, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.81/1.20 ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2147, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.81/1.20 ) ) ) ] )
% 0.81/1.20 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.81/1.20 , X ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2148, [ =( identity, 'greatest_lower_bound'( identity, b ) ) ] )
% 0.81/1.20 , clause( 19, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.81/1.20 , 0, clause( 2147, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.81/1.20 X, Y ) ) ) ] )
% 0.81/1.20 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.81/1.20 , b )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2149, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.81/1.20 , clause( 2148, [ =( identity, 'greatest_lower_bound'( identity, b ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 24, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.81/1.20 , clause( 2149, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.81/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2150, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 0.81/1.20 ) ) ) ] )
% 0.81/1.20 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.81/1.20 , X ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2151, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.81/1.20 ) ) ) ] )
% 0.81/1.20 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.81/1.20 , X ) ) ] )
% 0.81/1.20 , 0, clause( 2150, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.81/1.20 X, Y ) ) ) ] )
% 0.81/1.20 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.81/1.20 :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2154, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.81/1.20 , X ) ] )
% 0.81/1.20 , clause( 2151, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 0.81/1.20 X ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.81/1.20 X ) ] )
% 0.81/1.20 , clause( 2154, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 0.81/1.20 ), X ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2155, [ ~( =( multiply( a, b ), 'least_upper_bound'( a, multiply( a
% 0.81/1.20 , b ) ) ) ) ] )
% 0.81/1.20 , clause( 17, [ ~( =( 'least_upper_bound'( a, multiply( a, b ) ), multiply(
% 0.81/1.20 a, b ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2156, [ ~( =( multiply( a, b ), 'least_upper_bound'( multiply( a, b
% 0.81/1.20 ), a ) ) ) ] )
% 0.81/1.20 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.81/1.20 ) ] )
% 0.81/1.20 , 0, clause( 2155, [ ~( =( multiply( a, b ), 'least_upper_bound'( a,
% 0.81/1.20 multiply( a, b ) ) ) ) ] )
% 0.81/1.20 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, multiply( a, b ) )] ),
% 0.81/1.20 substitution( 1, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2159, [ ~( =( 'least_upper_bound'( multiply( a, b ), a ), multiply(
% 0.81/1.20 a, b ) ) ) ] )
% 0.81/1.20 , clause( 2156, [ ~( =( multiply( a, b ), 'least_upper_bound'( multiply( a
% 0.81/1.20 , b ), a ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 141, [ ~( =( 'least_upper_bound'( multiply( a, b ), a ), multiply(
% 0.81/1.20 a, b ) ) ) ] )
% 0.81/1.20 , clause( 2159, [ ~( =( 'least_upper_bound'( multiply( a, b ), a ),
% 0.81/1.20 multiply( a, b ) ) ) ] )
% 0.81/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2161, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.81/1.20 Y ) ), Y ) ) ] )
% 0.81/1.20 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.81/1.20 , identity ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2164, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.81/1.20 identity, X ) ) ] )
% 0.81/1.20 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.81/1.20 , 0, clause( 2161, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.81/1.20 inverse( Y ) ), Y ) ) ] )
% 0.81/1.20 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.81/1.20 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.81/1.20 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.81/1.20 , 0, clause( 2164, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.81/1.20 multiply( identity, X ) ) ] )
% 0.81/1.20 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.81/1.20 ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 174, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.81/1.20 , clause( 2165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 0.81/1.20 )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2168, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.81/1.20 ) ] )
% 0.81/1.20 , clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.81/1.20 ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2171, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.81/1.20 ) ] )
% 0.81/1.20 , clause( 174, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.81/1.20 , 0, clause( 2168, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.81/1.20 , Y ) ) ] )
% 0.81/1.20 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.81/1.20 inverse( X ) ) ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 179, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.81/1.20 ) ] )
% 0.81/1.20 , clause( 2171, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.81/1.20 ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2178, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.81/1.20 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.81/1.20 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.81/1.20 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2181, [ =( multiply( inverse( inverse( X ) ),
% 0.81/1.20 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.81/1.20 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.81/1.20 , clause( 174, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.81/1.20 , 0, clause( 2178, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.81/1.20 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.81/1.20 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.81/1.20 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2191, [ =( multiply( inverse( inverse( X ) ),
% 0.81/1.20 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.81/1.20 multiply( X, Y ) ) ) ] )
% 0.81/1.20 , clause( 179, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.81/1.20 ) ) ] )
% 0.81/1.20 , 0, clause( 2181, [ =( multiply( inverse( inverse( X ) ),
% 0.81/1.20 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.81/1.20 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.81/1.20 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.81/1.20 :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2193, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.81/1.20 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.81/1.20 , clause( 179, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.81/1.20 ) ) ] )
% 0.81/1.20 , 0, clause( 2191, [ =( multiply( inverse( inverse( X ) ),
% 0.81/1.20 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.81/1.20 multiply( X, Y ) ) ) ] )
% 0.81/1.20 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 0.81/1.20 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2194, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.81/1.20 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.81/1.20 , clause( 2193, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.81/1.20 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 180, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.81/1.20 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.81/1.20 , clause( 2194, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 0.81/1.20 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.20 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2195, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.81/1.20 ) ] )
% 0.81/1.20 , clause( 179, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.81/1.20 ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2198, [ =( multiply( X, identity ), X ) ] )
% 0.81/1.20 , clause( 174, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.81/1.20 , 0, clause( 2195, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.81/1.20 , Y ) ) ] )
% 0.81/1.20 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.81/1.20 :=( Y, identity )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 381, [ =( multiply( X, identity ), X ) ] )
% 0.81/1.20 , clause( 2198, [ =( multiply( X, identity ), X ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2204, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.81/1.20 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.81/1.20 , clause( 180, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.81/1.20 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2206, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 0.81/1.20 multiply( X, b ) ) ) ] )
% 0.81/1.20 , clause( 24, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.81/1.20 , 0, clause( 2204, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 0.81/1.20 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.81/1.20 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b )] )
% 0.81/1.20 ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2207, [ =( X, 'greatest_lower_bound'( X, multiply( X, b ) ) ) ] )
% 0.81/1.20 , clause( 381, [ =( multiply( X, identity ), X ) ] )
% 0.81/1.20 , 0, clause( 2206, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 0.81/1.20 , multiply( X, b ) ) ) ] )
% 0.81/1.20 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.81/1.20 ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2208, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.81/1.20 , clause( 2207, [ =( X, 'greatest_lower_bound'( X, multiply( X, b ) ) ) ]
% 0.81/1.20 )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 980, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.81/1.20 , clause( 2208, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ]
% 0.81/1.20 )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2210, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.81/1.20 ) ) ) ] )
% 0.81/1.20 , clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.81/1.20 , X ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2211, [ =( multiply( X, b ), 'least_upper_bound'( multiply( X, b )
% 0.81/1.20 , X ) ) ] )
% 0.81/1.20 , clause( 980, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.81/1.20 , 0, clause( 2210, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.81/1.20 Y, X ) ) ) ] )
% 0.81/1.20 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.81/1.20 multiply( X, b ) ), :=( Y, X )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqswap(
% 0.81/1.20 clause( 2212, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply( X
% 0.81/1.20 , b ) ) ] )
% 0.81/1.20 , clause( 2211, [ =( multiply( X, b ), 'least_upper_bound'( multiply( X, b
% 0.81/1.20 ), X ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 1059, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply( X
% 0.81/1.20 , b ) ) ] )
% 0.81/1.20 , clause( 2212, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply(
% 0.81/1.20 X, b ) ) ] )
% 0.81/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 paramod(
% 0.81/1.20 clause( 2215, [ ~( =( multiply( a, b ), multiply( a, b ) ) ) ] )
% 0.81/1.20 , clause( 1059, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply(
% 0.81/1.20 X, b ) ) ] )
% 0.81/1.20 , 0, clause( 141, [ ~( =( 'least_upper_bound'( multiply( a, b ), a ),
% 0.81/1.20 multiply( a, b ) ) ) ] )
% 0.81/1.20 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 eqrefl(
% 0.81/1.20 clause( 2216, [] )
% 0.81/1.20 , clause( 2215, [ ~( =( multiply( a, b ), multiply( a, b ) ) ) ] )
% 0.81/1.20 , 0, substitution( 0, [] )).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 subsumption(
% 0.81/1.20 clause( 2029, [] )
% 0.81/1.20 , clause( 2216, [] )
% 0.81/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 end.
% 0.81/1.20
% 0.81/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.20
% 0.81/1.20 Memory use:
% 0.81/1.20
% 0.81/1.20 space for terms: 25353
% 0.81/1.20 space for clauses: 207341
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 clauses generated: 27700
% 0.81/1.20 clauses kept: 2030
% 0.81/1.20 clauses selected: 274
% 0.81/1.20 clauses deleted: 18
% 0.81/1.20 clauses inuse deleted: 7
% 0.81/1.20
% 0.81/1.20 subsentry: 4521
% 0.81/1.20 literals s-matched: 4098
% 0.81/1.20 literals matched: 4086
% 0.81/1.20 full subsumption: 0
% 0.81/1.20
% 0.81/1.20 checksum: 1507496237
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Bliksem ended
%------------------------------------------------------------------------------