TSTP Solution File: GRP171-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP171-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 07:35:45 EDT 2022
% Result : Unsatisfiable 0.73s 1.16s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP171-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 22:32:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.73/1.16 *** allocated 10000 integers for termspace/termends
% 0.73/1.16 *** allocated 10000 integers for clauses
% 0.73/1.16 *** allocated 10000 integers for justifications
% 0.73/1.16 Bliksem 1.12
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Automatic Strategy Selection
% 0.73/1.16
% 0.73/1.16 Clauses:
% 0.73/1.16 [
% 0.73/1.16 [ =( multiply( identity, X ), X ) ],
% 0.73/1.16 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.73/1.16 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.73/1.16 ],
% 0.73/1.16 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.73/1.16 ,
% 0.73/1.16 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.73/1.16 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.16 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.73/1.16 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.16 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.73/1.16 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.73/1.16 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.73/1.16 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.73/1.16 ,
% 0.73/1.16 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.73/1.16 ,
% 0.73/1.16 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.73/1.16 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.73/1.16 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.16 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.73/1.16 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.73/1.16 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.73/1.16 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.73/1.16 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.73/1.16 [ =( 'least_upper_bound'( identity, a ), a ) ],
% 0.73/1.16 [ =( 'least_upper_bound'( identity, b ), b ) ],
% 0.73/1.16 [ ~( =( 'least_upper_bound'( identity, multiply( a, b ) ), multiply( a,
% 0.73/1.16 b ) ) ) ]
% 0.73/1.16 ] .
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.16 This is a pure equality problem
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Options Used:
% 0.73/1.16
% 0.73/1.16 useres = 1
% 0.73/1.16 useparamod = 1
% 0.73/1.16 useeqrefl = 1
% 0.73/1.16 useeqfact = 1
% 0.73/1.16 usefactor = 1
% 0.73/1.16 usesimpsplitting = 0
% 0.73/1.16 usesimpdemod = 5
% 0.73/1.16 usesimpres = 3
% 0.73/1.16
% 0.73/1.16 resimpinuse = 1000
% 0.73/1.16 resimpclauses = 20000
% 0.73/1.16 substype = eqrewr
% 0.73/1.16 backwardsubs = 1
% 0.73/1.16 selectoldest = 5
% 0.73/1.16
% 0.73/1.16 litorderings [0] = split
% 0.73/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.16
% 0.73/1.16 termordering = kbo
% 0.73/1.16
% 0.73/1.16 litapriori = 0
% 0.73/1.16 termapriori = 1
% 0.73/1.16 litaposteriori = 0
% 0.73/1.16 termaposteriori = 0
% 0.73/1.16 demodaposteriori = 0
% 0.73/1.16 ordereqreflfact = 0
% 0.73/1.16
% 0.73/1.16 litselect = negord
% 0.73/1.16
% 0.73/1.16 maxweight = 15
% 0.73/1.16 maxdepth = 30000
% 0.73/1.16 maxlength = 115
% 0.73/1.16 maxnrvars = 195
% 0.73/1.16 excuselevel = 1
% 0.73/1.16 increasemaxweight = 1
% 0.73/1.16
% 0.73/1.16 maxselected = 10000000
% 0.73/1.16 maxnrclauses = 10000000
% 0.73/1.16
% 0.73/1.16 showgenerated = 0
% 0.73/1.16 showkept = 0
% 0.73/1.16 showselected = 0
% 0.73/1.16 showdeleted = 0
% 0.73/1.16 showresimp = 1
% 0.73/1.16 showstatus = 2000
% 0.73/1.16
% 0.73/1.16 prologoutput = 1
% 0.73/1.16 nrgoals = 5000000
% 0.73/1.16 totalproof = 1
% 0.73/1.16
% 0.73/1.16 Symbols occurring in the translation:
% 0.73/1.16
% 0.73/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.16 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.16 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.73/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.16 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.16 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.16 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.16 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.16 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.16 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.16 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Starting Search:
% 0.73/1.16
% 0.73/1.16 Resimplifying inuse:
% 0.73/1.16 Done
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Bliksems!, er is een bewijs:
% 0.73/1.16 % SZS status Unsatisfiable
% 0.73/1.16 % SZS output start Refutation
% 0.73/1.16
% 0.73/1.16 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.73/1.16 , Z ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.73/1.16 X ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.73/1.16 ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 0.73/1.16 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.16 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.73/1.16 ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.73/1.16 X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.73/1.16 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.73/1.16 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 15, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 16, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 17, [ ~( =( 'least_upper_bound'( identity, multiply( a, b ) ),
% 0.73/1.16 multiply( a, b ) ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 19, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 20, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.73/1.16 , identity ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.73/1.16 identity ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.73/1.16 ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.73/1.16 X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 0.73/1.16 X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 25, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 48, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ), identity
% 0.73/1.16 ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 57, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 0.73/1.16 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.73/1.16 X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 0.73/1.16 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 0.73/1.16 'greatest_lower_bound'( Y, Z ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 0.73/1.16 X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 94, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X ), b
% 0.73/1.16 ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 120, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 0.73/1.16 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 126, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity, X
% 0.73/1.16 ), b ), b ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.73/1.16 ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 171, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.73/1.16 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 365, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 372, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 376, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 379, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 393, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 0.73/1.16 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.73/1.16 ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 403, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.73/1.16 ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 585, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 0.73/1.16 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 624, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 0.73/1.16 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 722, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 0.73/1.16 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 972, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 1030, [ =( 'greatest_lower_bound'( multiply( X, a ), X ), X ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 1056, [ =( 'greatest_lower_bound'( identity, inverse( a ) ),
% 0.73/1.16 inverse( a ) ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 1084, [ =( 'least_upper_bound'( inverse( a ), b ), b ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 1113, [ =( 'greatest_lower_bound'( b, inverse( a ) ), inverse( a )
% 0.73/1.16 ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 1126, [ =( 'greatest_lower_bound'( identity, multiply( a, b ) ),
% 0.73/1.16 identity ) ] )
% 0.73/1.16 .
% 0.73/1.16 clause( 1142, [] )
% 0.73/1.16 .
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 % SZS output end Refutation
% 0.73/1.16 found a proof!
% 0.73/1.16
% 0.73/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.16
% 0.73/1.16 initialclauses(
% 0.73/1.16 [ clause( 1144, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.16 , clause( 1145, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.16 , clause( 1146, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.73/1.16 Y, Z ) ) ) ] )
% 0.73/1.16 , clause( 1147, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.16 Y, X ) ) ] )
% 0.73/1.16 , clause( 1148, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.73/1.16 ) ) ] )
% 0.73/1.16 , clause( 1149, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.73/1.16 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , clause( 1150, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.73/1.16 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , clause( 1151, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.73/1.16 , clause( 1152, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.73/1.16 , clause( 1153, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.73/1.16 ), X ) ] )
% 0.73/1.16 , clause( 1154, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.73/1.16 ), X ) ] )
% 0.73/1.16 , clause( 1155, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.16 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.16 , clause( 1156, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.16 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.16 , clause( 1157, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.73/1.16 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.73/1.16 , clause( 1158, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.73/1.16 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.73/1.16 , clause( 1159, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.73/1.16 , clause( 1160, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.73/1.16 , clause( 1161, [ ~( =( 'least_upper_bound'( identity, multiply( a, b ) ),
% 0.73/1.16 multiply( a, b ) ) ) ] )
% 0.73/1.16 ] ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.16 , clause( 1144, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.16 , clause( 1145, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1167, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.73/1.16 Y ), Z ) ) ] )
% 0.73/1.16 , clause( 1146, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.73/1.16 Y, Z ) ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.73/1.16 , Z ) ) ] )
% 0.73/1.16 , clause( 1167, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.73/1.16 , Y ), Z ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.73/1.16 X ) ) ] )
% 0.73/1.16 , clause( 1147, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.16 Y, X ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.73/1.16 ] )
% 0.73/1.16 , clause( 1148, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.73/1.16 ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 0.73/1.16 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , clause( 1149, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.73/1.16 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.16 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , clause( 1150, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.73/1.16 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.73/1.16 ) ] )
% 0.73/1.16 , clause( 1153, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.73/1.16 ), X ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.73/1.16 X ) ] )
% 0.73/1.16 , clause( 1154, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.73/1.16 ), X ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1210, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.73/1.16 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.73/1.16 , clause( 1156, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.16 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.73/1.16 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.73/1.16 , clause( 1210, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 0.73/1.16 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1223, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 0.73/1.16 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , clause( 1158, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.73/1.16 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.73/1.16 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , clause( 1223, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 0.73/1.16 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 15, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.73/1.16 , clause( 1159, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.73/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 16, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.73/1.16 , clause( 1160, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.73/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 17, [ ~( =( 'least_upper_bound'( identity, multiply( a, b ) ),
% 0.73/1.16 multiply( a, b ) ) ) ] )
% 0.73/1.16 , clause( 1161, [ ~( =( 'least_upper_bound'( identity, multiply( a, b ) ),
% 0.73/1.16 multiply( a, b ) ) ) ] )
% 0.73/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1269, [ =( b, 'least_upper_bound'( identity, b ) ) ] )
% 0.73/1.16 , clause( 16, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.73/1.16 , 0, substitution( 0, [] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 paramod(
% 0.73/1.16 clause( 1270, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 0.73/1.16 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.73/1.16 ) ] )
% 0.73/1.16 , 0, clause( 1269, [ =( b, 'least_upper_bound'( identity, b ) ) ] )
% 0.73/1.16 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, b )] ), substitution(
% 0.73/1.16 1, [] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1273, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.73/1.16 , clause( 1270, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 19, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.73/1.16 , clause( 1273, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.73/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1274, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.73/1.16 Y, Z ) ) ) ] )
% 0.73/1.16 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.16 ), Z ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 paramod(
% 0.73/1.16 clause( 1277, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.73/1.16 ), identity ) ] )
% 0.73/1.16 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.16 , 0, clause( 1274, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.73/1.16 multiply( Y, Z ) ) ) ] )
% 0.73/1.16 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.73/1.16 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 20, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.73/1.16 , identity ) ] )
% 0.73/1.16 , clause( 1277, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 0.73/1.16 Y ), identity ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1283, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.73/1.16 Y, Z ) ) ) ] )
% 0.73/1.16 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.16 ), Z ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 paramod(
% 0.73/1.16 clause( 1288, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.73/1.16 , identity ) ) ] )
% 0.73/1.16 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.16 , 0, clause( 1283, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.73/1.16 multiply( Y, Z ) ) ) ] )
% 0.73/1.16 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.16 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.73/1.16 identity ) ) ] )
% 0.73/1.16 , clause( 1288, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.73/1.16 X, identity ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1293, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.73/1.16 Y, Z ) ) ) ] )
% 0.73/1.16 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.16 ), Z ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 paramod(
% 0.73/1.16 clause( 1298, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.16 ) ] )
% 0.73/1.16 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.16 , 0, clause( 1293, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.73/1.16 multiply( Y, Z ) ) ) ] )
% 0.73/1.16 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.16 :=( Y, identity ), :=( Z, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.73/1.16 ] )
% 0.73/1.16 , clause( 1298, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.73/1.16 ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1303, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.73/1.16 ) ) ) ] )
% 0.73/1.16 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.73/1.16 , X ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 paramod(
% 0.73/1.16 clause( 1304, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.73/1.16 X ) ) ] )
% 0.73/1.16 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.73/1.16 , X ) ) ] )
% 0.73/1.16 , 0, clause( 1303, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.73/1.16 X, Y ) ) ) ] )
% 0.73/1.16 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 0.73/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1307, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.73/1.16 , X ) ] )
% 0.73/1.16 , clause( 1304, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 0.73/1.16 , X ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.73/1.16 X ) ] )
% 0.73/1.16 , clause( 1307, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 0.73/1.16 ), X ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1308, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.73/1.16 ) ) ) ] )
% 0.73/1.16 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.73/1.16 , X ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 paramod(
% 0.73/1.16 clause( 1309, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 0.73/1.16 ) ) ) ] )
% 0.73/1.16 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.73/1.16 ) ] )
% 0.73/1.16 , 0, clause( 1308, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.73/1.16 X, Y ) ) ) ] )
% 0.73/1.16 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.16 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1312, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 0.73/1.16 , X ) ] )
% 0.73/1.16 , clause( 1309, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y,
% 0.73/1.16 X ) ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 0.73/1.16 X ) ] )
% 0.73/1.16 , clause( 1312, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 0.73/1.16 ), X ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1314, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.73/1.16 ) ) ) ] )
% 0.73/1.16 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.73/1.16 , X ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 paramod(
% 0.73/1.16 clause( 1315, [ =( identity, 'greatest_lower_bound'( identity, a ) ) ] )
% 0.73/1.16 , clause( 15, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.73/1.16 , 0, clause( 1314, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.73/1.16 X, Y ) ) ) ] )
% 0.73/1.16 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.73/1.16 , a )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1316, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.73/1.16 , clause( 1315, [ =( identity, 'greatest_lower_bound'( identity, a ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 25, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.73/1.16 , clause( 1316, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.73/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1318, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 0.73/1.16 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.16 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.16 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 paramod(
% 0.73/1.16 clause( 1320, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ),
% 0.73/1.16 identity ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.16 , clause( 19, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.73/1.16 , 0, clause( 1318, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z
% 0.73/1.16 ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.16 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b ),
% 0.73/1.16 :=( Z, identity )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 48, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ), identity
% 0.73/1.16 ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.16 , clause( 1320, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ),
% 0.73/1.16 identity ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1324, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 0.73/1.16 ) ) ) ] )
% 0.73/1.16 , clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 0.73/1.16 , X ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 paramod(
% 0.73/1.16 clause( 1327, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.16 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 0.73/1.16 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.73/1.16 , X ) ] )
% 0.73/1.16 , 0, clause( 1324, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.73/1.16 Y, X ) ) ) ] )
% 0.73/1.16 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.16 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1328, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 0.73/1.16 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.73/1.16 , clause( 1327, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.16 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 subsumption(
% 0.73/1.16 clause( 57, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 0.73/1.16 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.73/1.16 , clause( 1328, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 0.73/1.16 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.73/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.16 )] ) ).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 eqswap(
% 0.73/1.16 clause( 1329, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 0.73/1.16 ) ) ) ] )
% 0.73/1.16 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.73/1.16 , X ) ] )
% 0.73/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1330, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.73/1.17 ) ) ) ] )
% 0.73/1.17 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.73/1.17 , X ) ) ] )
% 0.73/1.17 , 0, clause( 1329, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.73/1.17 X, Y ) ) ) ] )
% 0.73/1.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1333, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.73/1.17 , X ) ] )
% 0.73/1.17 , clause( 1330, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 0.73/1.17 X ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.73/1.17 X ) ] )
% 0.73/1.17 , clause( 1333, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 0.73/1.17 ), X ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1335, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.73/1.17 ) ) ) ] )
% 0.73/1.17 , clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.73/1.17 , X ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1336, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.73/1.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.17 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 0.73/1.17 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 0.73/1.17 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.17 , 0, clause( 1335, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.73/1.17 Y, X ) ) ) ] )
% 0.73/1.17 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.17 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 0.73/1.17 ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1337, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.73/1.17 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 0.73/1.17 'greatest_lower_bound'( X, Y ) ) ] )
% 0.73/1.17 , clause( 1336, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.73/1.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.17 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 0.73/1.17 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 0.73/1.17 'greatest_lower_bound'( Y, Z ) ) ] )
% 0.73/1.17 , clause( 1337, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.73/1.17 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 0.73/1.17 'greatest_lower_bound'( X, Y ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.73/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1338, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.73/1.17 ) ) ) ] )
% 0.73/1.17 , clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.73/1.17 , X ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1339, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 0.73/1.17 X ) ) ] )
% 0.73/1.17 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.73/1.17 ) ] )
% 0.73/1.17 , 0, clause( 1338, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.73/1.17 Y, X ) ) ) ] )
% 0.73/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 0.73/1.17 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1342, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 0.73/1.17 , X ) ] )
% 0.73/1.17 , clause( 1339, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 0.73/1.17 , X ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 0.73/1.17 X ) ] )
% 0.73/1.17 , clause( 1342, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 0.73/1.17 ), X ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1343, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 0.73/1.17 'least_upper_bound'( X, b ), identity ) ) ] )
% 0.73/1.17 , clause( 48, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ),
% 0.73/1.17 identity ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1347, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 0.73/1.17 identity, 'least_upper_bound'( X, b ) ) ) ] )
% 0.73/1.17 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.73/1.17 ) ] )
% 0.73/1.17 , 0, clause( 1343, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 0.73/1.17 'least_upper_bound'( X, b ), identity ) ) ] )
% 0.73/1.17 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( X, b ) ), :=( Y,
% 0.73/1.17 identity )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1353, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 0.73/1.17 'least_upper_bound'( identity, X ), b ) ) ] )
% 0.73/1.17 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.17 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.73/1.17 , 0, clause( 1347, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 0.73/1.17 identity, 'least_upper_bound'( X, b ) ) ) ] )
% 0.73/1.17 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, b )] ),
% 0.73/1.17 substitution( 1, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1354, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 0.73/1.17 , b ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.17 , clause( 1353, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 0.73/1.17 'least_upper_bound'( identity, X ), b ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 94, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X ), b
% 0.73/1.17 ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.17 , clause( 1354, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X
% 0.73/1.17 ), b ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1355, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 0.73/1.17 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.73/1.17 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 0.73/1.17 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1357, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 0.73/1.17 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.73/1.17 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.73/1.17 , X ) ) ] )
% 0.73/1.17 , 0, clause( 1355, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 0.73/1.17 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.73/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.17 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1359, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 0.73/1.17 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 0.73/1.17 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 0.73/1.17 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.17 , 0, clause( 1357, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 0.73/1.17 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.73/1.17 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.17 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 120, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 0.73/1.17 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 0.73/1.17 , clause( 1359, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.73/1.17 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.73/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1361, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 0.73/1.17 'least_upper_bound'( identity, X ), b ) ) ] )
% 0.73/1.17 , clause( 94, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 0.73/1.17 , b ), 'least_upper_bound'( X, b ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1363, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity, X
% 0.73/1.17 ), b ), 'least_upper_bound'( identity, b ) ) ] )
% 0.73/1.17 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.73/1.17 , X ) ] )
% 0.73/1.17 , 0, clause( 1361, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 0.73/1.17 'least_upper_bound'( identity, X ), b ) ) ] )
% 0.73/1.17 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 0.73/1.17 1, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1364, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity, X
% 0.73/1.17 ), b ), b ) ] )
% 0.73/1.17 , clause( 16, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.73/1.17 , 0, clause( 1363, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 0.73/1.17 identity, X ), b ), 'least_upper_bound'( identity, b ) ) ] )
% 0.73/1.17 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 126, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity, X
% 0.73/1.17 ), b ), b ) ] )
% 0.73/1.17 , clause( 1364, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity
% 0.73/1.17 , X ), b ), b ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1367, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.73/1.17 Y ) ), Y ) ) ] )
% 0.73/1.17 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.73/1.17 , identity ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1370, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.73/1.17 identity, X ) ) ] )
% 0.73/1.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.17 , 0, clause( 1367, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.73/1.17 inverse( Y ) ), Y ) ) ] )
% 0.73/1.17 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.17 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1371, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.17 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.17 , 0, clause( 1370, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.73/1.17 multiply( identity, X ) ) ] )
% 0.73/1.17 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.17 ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.17 , clause( 1371, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 0.73/1.17 )
% 0.73/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1374, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.73/1.17 ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1377, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.17 , 0, clause( 1374, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.73/1.17 , Y ) ) ] )
% 0.73/1.17 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.73/1.17 inverse( X ) ) ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 1377, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1384, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.17 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.73/1.17 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1387, [ =( multiply( inverse( inverse( X ) ),
% 0.73/1.17 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.73/1.17 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.73/1.17 , clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.17 , 0, clause( 1384, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.17 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.73/1.17 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1397, [ =( multiply( inverse( inverse( X ) ),
% 0.73/1.17 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.73/1.17 multiply( X, Y ) ) ) ] )
% 0.73/1.17 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, clause( 1387, [ =( multiply( inverse( inverse( X ) ),
% 0.73/1.17 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.73/1.17 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.73/1.17 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1399, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.73/1.17 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.73/1.17 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, clause( 1397, [ =( multiply( inverse( inverse( X ) ),
% 0.73/1.17 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.73/1.17 multiply( X, Y ) ) ) ] )
% 0.73/1.17 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 0.73/1.17 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1400, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.73/1.17 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.73/1.17 , clause( 1399, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.73/1.17 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 171, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.73/1.17 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.73/1.17 , clause( 1400, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 0.73/1.17 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1401, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1404, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.17 , clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.17 , 0, clause( 1401, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.73/1.17 , Y ) ) ] )
% 0.73/1.17 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.17 :=( Y, identity )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 365, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.17 , clause( 1404, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1409, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1412, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.17 , 0, clause( 1409, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.73/1.17 , Y ) ) ] )
% 0.73/1.17 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.17 :=( X, X ), :=( Y, inverse( X ) )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 372, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.17 , clause( 1412, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1415, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.17 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1418, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.73/1.17 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, clause( 1415, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.73/1.17 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1419, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.17 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.17 , 0, clause( 1418, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 0.73/1.17 ] )
% 0.73/1.17 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.17 ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 376, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.17 , clause( 1419, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1422, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.73/1.17 Y ) ), Y ) ) ] )
% 0.73/1.17 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.73/1.17 , identity ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1424, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 0.73/1.17 inverse( Y ) ) ) ] )
% 0.73/1.17 , clause( 376, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.17 , 0, clause( 1422, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.73/1.17 inverse( Y ) ), Y ) ) ] )
% 0.73/1.17 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.17 :=( Y, inverse( Y ) )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1425, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.73/1.17 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.17 , 0, clause( 1424, [ =( multiply( X, identity ), multiply( multiply( X, Y )
% 0.73/1.17 , inverse( Y ) ) ) ] )
% 0.73/1.17 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.17 :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1426, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.73/1.17 , clause( 1425, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 379, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.73/1.17 , clause( 1426, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1428, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.17 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.73/1.17 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1429, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 0.73/1.17 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 0.73/1.17 , clause( 372, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.17 , 0, clause( 1428, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.17 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.17 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.17 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 393, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 0.73/1.17 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 0.73/1.17 , clause( 1429, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 0.73/1.17 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1434, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.73/1.17 , clause( 379, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1439, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 0.73/1.17 identity, inverse( Y ) ) ) ] )
% 0.73/1.17 , clause( 20, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.73/1.17 ), identity ) ] )
% 0.73/1.17 , 0, clause( 1434, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 0.73/1.17 )
% 0.73/1.17 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.17 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1440, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.17 , 0, clause( 1439, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 0.73/1.17 multiply( identity, inverse( Y ) ) ) ] )
% 0.73/1.17 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.73/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 1440, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1442, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1446, [ =( inverse( X ), multiply( inverse( inverse( Y ) ), inverse(
% 0.73/1.17 multiply( X, Y ) ) ) ) ] )
% 0.73/1.17 , clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, clause( 1442, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) )
% 0.73/1.17 , X ) ) ] )
% 0.73/1.17 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.17 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1447, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) ) )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, clause( 1446, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 0.73/1.17 inverse( multiply( X, Y ) ) ) ) ] )
% 0.73/1.17 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 0.73/1.17 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1448, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 1447, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 403, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 1448, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1449, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) ) )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 403, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1452, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z,
% 0.73/1.17 inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 0.73/1.17 , clause( 120, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 0.73/1.17 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 0.73/1.17 , 0, clause( 1449, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 0.73/1.17 ) ) ) ) ] )
% 0.73/1.17 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.73/1.17 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 0.73/1.17 ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1455, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 0.73/1.17 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.73/1.17 , clause( 403, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, clause( 1452, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply(
% 0.73/1.17 Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 0.73/1.17 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 0.73/1.17 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 585, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 0.73/1.17 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.73/1.17 , clause( 1455, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 0.73/1.17 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1456, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 0.73/1.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1457, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y,
% 0.73/1.17 X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.73/1.17 , clause( 585, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 0.73/1.17 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.73/1.17 , 0, clause( 1456, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 0.73/1.17 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.17 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1460, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 0.73/1.17 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 0.73/1.17 , clause( 1457, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 0.73/1.17 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 624, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 0.73/1.17 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 0.73/1.17 , clause( 1460, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 0.73/1.17 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1462, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.73/1.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.17 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 0.73/1.17 , clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 0.73/1.17 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 0.73/1.17 'greatest_lower_bound'( Y, Z ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1465, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.73/1.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.73/1.17 , clause( 57, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 0.73/1.17 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.73/1.17 , 0, clause( 1462, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.73/1.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.17 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 0.73/1.17 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.17 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1471, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.73/1.17 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.73/1.17 , clause( 1465, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.73/1.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 722, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 0.73/1.17 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 0.73/1.17 , clause( 1471, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.73/1.17 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.73/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.17 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1474, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.73/1.17 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.73/1.17 , clause( 171, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.73/1.17 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1476, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 0.73/1.17 multiply( X, a ) ) ) ] )
% 0.73/1.17 , clause( 25, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.73/1.17 , 0, clause( 1474, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 0.73/1.17 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.73/1.17 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, a )] )
% 0.73/1.17 ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1477, [ =( X, 'greatest_lower_bound'( X, multiply( X, a ) ) ) ] )
% 0.73/1.17 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.17 , 0, clause( 1476, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 0.73/1.17 , multiply( X, a ) ) ) ] )
% 0.73/1.17 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.17 ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1478, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ] )
% 0.73/1.17 , clause( 1477, [ =( X, 'greatest_lower_bound'( X, multiply( X, a ) ) ) ]
% 0.73/1.17 )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 972, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ] )
% 0.73/1.17 , clause( 1478, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ]
% 0.73/1.17 )
% 0.73/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1480, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.73/1.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.73/1.17 , clause( 722, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 0.73/1.17 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1484, [ =( 'greatest_lower_bound'( multiply( X, a ), X ),
% 0.73/1.17 'least_upper_bound'( 'greatest_lower_bound'( multiply( X, a ), X ), X ) )
% 0.73/1.17 ] )
% 0.73/1.17 , clause( 972, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ] )
% 0.73/1.17 , 0, clause( 1480, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.73/1.17 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.73/1.17 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.17 multiply( X, a ) ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1486, [ =( 'greatest_lower_bound'( multiply( X, a ), X ), X ) ] )
% 0.73/1.17 , clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 0.73/1.17 , X ) ] )
% 0.73/1.17 , 0, clause( 1484, [ =( 'greatest_lower_bound'( multiply( X, a ), X ),
% 0.73/1.17 'least_upper_bound'( 'greatest_lower_bound'( multiply( X, a ), X ), X ) )
% 0.73/1.17 ] )
% 0.73/1.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, a ) )] ),
% 0.73/1.17 substitution( 1, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 1030, [ =( 'greatest_lower_bound'( multiply( X, a ), X ), X ) ] )
% 0.73/1.17 , clause( 1486, [ =( 'greatest_lower_bound'( multiply( X, a ), X ), X ) ]
% 0.73/1.17 )
% 0.73/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1489, [ =( X, 'greatest_lower_bound'( multiply( X, a ), X ) ) ] )
% 0.73/1.17 , clause( 1030, [ =( 'greatest_lower_bound'( multiply( X, a ), X ), X ) ]
% 0.73/1.17 )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1490, [ =( inverse( a ), 'greatest_lower_bound'( identity, inverse(
% 0.73/1.17 a ) ) ) ] )
% 0.73/1.17 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.17 , 0, clause( 1489, [ =( X, 'greatest_lower_bound'( multiply( X, a ), X ) )
% 0.73/1.17 ] )
% 0.73/1.17 , 0, 4, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, inverse(
% 0.73/1.17 a ) )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1491, [ =( 'greatest_lower_bound'( identity, inverse( a ) ),
% 0.73/1.17 inverse( a ) ) ] )
% 0.73/1.17 , clause( 1490, [ =( inverse( a ), 'greatest_lower_bound'( identity,
% 0.73/1.17 inverse( a ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 1056, [ =( 'greatest_lower_bound'( identity, inverse( a ) ),
% 0.73/1.17 inverse( a ) ) ] )
% 0.73/1.17 , clause( 1491, [ =( 'greatest_lower_bound'( identity, inverse( a ) ),
% 0.73/1.17 inverse( a ) ) ] )
% 0.73/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1493, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'( identity
% 0.73/1.17 , X ), b ) ) ] )
% 0.73/1.17 , clause( 126, [ =( 'least_upper_bound'( 'greatest_lower_bound'( identity,
% 0.73/1.17 X ), b ), b ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1494, [ =( b, 'least_upper_bound'( inverse( a ), b ) ) ] )
% 0.73/1.17 , clause( 1056, [ =( 'greatest_lower_bound'( identity, inverse( a ) ),
% 0.73/1.17 inverse( a ) ) ] )
% 0.73/1.17 , 0, clause( 1493, [ =( b, 'least_upper_bound'( 'greatest_lower_bound'(
% 0.73/1.17 identity, X ), b ) ) ] )
% 0.73/1.17 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( a ) )] )
% 0.73/1.17 ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1495, [ =( 'least_upper_bound'( inverse( a ), b ), b ) ] )
% 0.73/1.17 , clause( 1494, [ =( b, 'least_upper_bound'( inverse( a ), b ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 1084, [ =( 'least_upper_bound'( inverse( a ), b ), b ) ] )
% 0.73/1.17 , clause( 1495, [ =( 'least_upper_bound'( inverse( a ), b ), b ) ] )
% 0.73/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1497, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.73/1.17 X ) ) ] )
% 0.73/1.17 , clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.73/1.17 , X ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1498, [ =( inverse( a ), 'greatest_lower_bound'( b, inverse( a ) )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 1084, [ =( 'least_upper_bound'( inverse( a ), b ), b ) ] )
% 0.73/1.17 , 0, clause( 1497, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X,
% 0.73/1.17 Y ), X ) ) ] )
% 0.73/1.17 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( a ) ),
% 0.73/1.17 :=( Y, b )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1499, [ =( 'greatest_lower_bound'( b, inverse( a ) ), inverse( a )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 1498, [ =( inverse( a ), 'greatest_lower_bound'( b, inverse( a )
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 1113, [ =( 'greatest_lower_bound'( b, inverse( a ) ), inverse( a )
% 0.73/1.17 ) ] )
% 0.73/1.17 , clause( 1499, [ =( 'greatest_lower_bound'( b, inverse( a ) ), inverse( a
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1501, [ =( identity, multiply( inverse( 'greatest_lower_bound'( X,
% 0.73/1.17 Y ) ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.73/1.17 , clause( 624, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 0.73/1.17 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1504, [ =( identity, multiply( inverse( inverse( a ) ),
% 0.73/1.17 'greatest_lower_bound'( inverse( a ), b ) ) ) ] )
% 0.73/1.17 , clause( 1113, [ =( 'greatest_lower_bound'( b, inverse( a ) ), inverse( a
% 0.73/1.17 ) ) ] )
% 0.73/1.17 , 0, clause( 1501, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 0.73/1.17 X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.73/1.17 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 0.73/1.17 inverse( a ) )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1506, [ =( identity, multiply( a, 'greatest_lower_bound'( inverse(
% 0.73/1.17 a ), b ) ) ) ] )
% 0.73/1.17 , clause( 376, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.17 , 0, clause( 1504, [ =( identity, multiply( inverse( inverse( a ) ),
% 0.73/1.17 'greatest_lower_bound'( inverse( a ), b ) ) ) ] )
% 0.73/1.17 , 0, 3, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1507, [ =( identity, 'greatest_lower_bound'( identity, multiply( a
% 0.73/1.17 , b ) ) ) ] )
% 0.73/1.17 , clause( 393, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 0.73/1.17 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 0.73/1.17 , 0, clause( 1506, [ =( identity, multiply( a, 'greatest_lower_bound'(
% 0.73/1.17 inverse( a ), b ) ) ) ] )
% 0.73/1.17 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.73/1.17 ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1508, [ =( 'greatest_lower_bound'( identity, multiply( a, b ) ),
% 0.73/1.17 identity ) ] )
% 0.73/1.17 , clause( 1507, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 0.73/1.17 a, b ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 1126, [ =( 'greatest_lower_bound'( identity, multiply( a, b ) ),
% 0.73/1.17 identity ) ] )
% 0.73/1.17 , clause( 1508, [ =( 'greatest_lower_bound'( identity, multiply( a, b ) ),
% 0.73/1.17 identity ) ] )
% 0.73/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1510, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.73/1.17 Y ) ) ] )
% 0.73/1.17 , clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 0.73/1.17 , X ) ] )
% 0.73/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 eqswap(
% 0.73/1.17 clause( 1511, [ ~( =( multiply( a, b ), 'least_upper_bound'( identity,
% 0.73/1.17 multiply( a, b ) ) ) ) ] )
% 0.73/1.17 , clause( 17, [ ~( =( 'least_upper_bound'( identity, multiply( a, b ) ),
% 0.73/1.17 multiply( a, b ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 paramod(
% 0.73/1.17 clause( 1512, [ =( multiply( a, b ), 'least_upper_bound'( identity,
% 0.73/1.17 multiply( a, b ) ) ) ] )
% 0.73/1.17 , clause( 1126, [ =( 'greatest_lower_bound'( identity, multiply( a, b ) ),
% 0.73/1.17 identity ) ] )
% 0.73/1.17 , 0, clause( 1510, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X,
% 0.73/1.17 Y ), Y ) ) ] )
% 0.73/1.17 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.73/1.17 , multiply( a, b ) )] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 resolution(
% 0.73/1.17 clause( 1513, [] )
% 0.73/1.17 , clause( 1511, [ ~( =( multiply( a, b ), 'least_upper_bound'( identity,
% 0.73/1.17 multiply( a, b ) ) ) ) ] )
% 0.73/1.17 , 0, clause( 1512, [ =( multiply( a, b ), 'least_upper_bound'( identity,
% 0.73/1.17 multiply( a, b ) ) ) ] )
% 0.73/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 subsumption(
% 0.73/1.17 clause( 1142, [] )
% 0.73/1.17 , clause( 1513, [] )
% 0.73/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 end.
% 0.73/1.17
% 0.73/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.17
% 0.73/1.17 Memory use:
% 0.73/1.17
% 0.73/1.17 space for terms: 14825
% 0.73/1.17 space for clauses: 120542
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 clauses generated: 17121
% 0.73/1.17 clauses kept: 1143
% 0.73/1.17 clauses selected: 179
% 0.73/1.17 clauses deleted: 11
% 0.73/1.17 clauses inuse deleted: 6
% 0.73/1.17
% 0.73/1.17 subsentry: 4528
% 0.73/1.17 literals s-matched: 3599
% 0.73/1.17 literals matched: 3559
% 0.73/1.17 full subsumption: 0
% 0.73/1.17
% 0.73/1.17 checksum: -607375296
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 Bliksem ended
%------------------------------------------------------------------------------