%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP170-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:35:44 EDT 2022
% Result : Unsatisfiable 2.34s 2.74s
% Output : Refutation 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP170-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 01:19:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.34/2.74 *** allocated 10000 integers for termspace/termends
% 2.34/2.74 *** allocated 10000 integers for clauses
% 2.34/2.74 *** allocated 10000 integers for justifications
% 2.34/2.74 Bliksem 1.12
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Automatic Strategy Selection
% 2.34/2.74
% 2.34/2.74 Clauses:
% 2.34/2.74 [
% 2.34/2.74 [ =( multiply( identity, X ), X ) ],
% 2.34/2.74 [ =( multiply( inverse( X ), X ), identity ) ],
% 2.34/2.74 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 2.34/2.74 ],
% 2.34/2.74 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 2.34/2.74 ,
% 2.34/2.74 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 2.34/2.74 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.34/2.74 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 2.34/2.74 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.34/2.74 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 2.34/2.74 [ =( 'least_upper_bound'( X, X ), X ) ],
% 2.34/2.74 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 2.34/2.74 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 2.34/2.74 ,
% 2.34/2.74 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 2.34/2.74 ,
% 2.34/2.74 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 2.34/2.74 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.34/2.74 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.34/2.74 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.34/2.74 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 2.34/2.74 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.34/2.74 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.34/2.74 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.34/2.74 [ =( 'greatest_lower_bound'( a, b ), a ) ],
% 2.34/2.74 [ =( 'greatest_lower_bound'( c, d ), c ) ],
% 2.34/2.74 [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply( b, d ) ),
% 2.34/2.74 multiply( a, c ) ) ) ]
% 2.34/2.74 ] .
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 percentage equality = 1.000000, percentage horn = 1.000000
% 2.34/2.74 This is a pure equality problem
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Options Used:
% 2.34/2.74
% 2.34/2.74 useres = 1
% 2.34/2.74 useparamod = 1
% 2.34/2.74 useeqrefl = 1
% 2.34/2.74 useeqfact = 1
% 2.34/2.74 usefactor = 1
% 2.34/2.74 usesimpsplitting = 0
% 2.34/2.74 usesimpdemod = 5
% 2.34/2.74 usesimpres = 3
% 2.34/2.74
% 2.34/2.74 resimpinuse = 1000
% 2.34/2.74 resimpclauses = 20000
% 2.34/2.74 substype = eqrewr
% 2.34/2.74 backwardsubs = 1
% 2.34/2.74 selectoldest = 5
% 2.34/2.74
% 2.34/2.74 litorderings [0] = split
% 2.34/2.74 litorderings [1] = extend the termordering, first sorting on arguments
% 2.34/2.74
% 2.34/2.74 termordering = kbo
% 2.34/2.74
% 2.34/2.74 litapriori = 0
% 2.34/2.74 termapriori = 1
% 2.34/2.74 litaposteriori = 0
% 2.34/2.74 termaposteriori = 0
% 2.34/2.74 demodaposteriori = 0
% 2.34/2.74 ordereqreflfact = 0
% 2.34/2.74
% 2.34/2.74 litselect = negord
% 2.34/2.74
% 2.34/2.74 maxweight = 15
% 2.34/2.74 maxdepth = 30000
% 2.34/2.74 maxlength = 115
% 2.34/2.74 maxnrvars = 195
% 2.34/2.74 excuselevel = 1
% 2.34/2.74 increasemaxweight = 1
% 2.34/2.74
% 2.34/2.74 maxselected = 10000000
% 2.34/2.74 maxnrclauses = 10000000
% 2.34/2.74
% 2.34/2.74 showgenerated = 0
% 2.34/2.74 showkept = 0
% 2.34/2.74 showselected = 0
% 2.34/2.74 showdeleted = 0
% 2.34/2.74 showresimp = 1
% 2.34/2.74 showstatus = 2000
% 2.34/2.74
% 2.34/2.74 prologoutput = 1
% 2.34/2.74 nrgoals = 5000000
% 2.34/2.74 totalproof = 1
% 2.34/2.74
% 2.34/2.74 Symbols occurring in the translation:
% 2.34/2.74
% 2.34/2.74 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.34/2.74 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 2.34/2.74 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 2.34/2.74 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.34/2.74 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.34/2.74 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.34/2.74 multiply [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 2.34/2.74 inverse [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.34/2.74 'greatest_lower_bound' [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 2.34/2.74 'least_upper_bound' [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.34/2.74 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.34/2.74 b [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 2.34/2.74 c [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.34/2.74 d [50, 0] (w:1, o:16, a:1, s:1, b:0).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Starting Search:
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Intermediate Status:
% 2.34/2.74 Generated: 28151
% 2.34/2.74 Kept: 2002
% 2.34/2.74 Inuse: 256
% 2.34/2.74 Deleted: 15
% 2.34/2.74 Deletedinuse: 6
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Intermediate Status:
% 2.34/2.74 Generated: 61363
% 2.34/2.74 Kept: 4003
% 2.34/2.74 Inuse: 470
% 2.34/2.74 Deleted: 31
% 2.34/2.74 Deletedinuse: 6
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Intermediate Status:
% 2.34/2.74 Generated: 106970
% 2.34/2.74 Kept: 6003
% 2.34/2.74 Inuse: 682
% 2.34/2.74 Deleted: 57
% 2.34/2.74 Deletedinuse: 10
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Intermediate Status:
% 2.34/2.74 Generated: 186603
% 2.34/2.74 Kept: 8009
% 2.34/2.74 Inuse: 854
% 2.34/2.74 Deleted: 58
% 2.34/2.74 Deletedinuse: 10
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Intermediate Status:
% 2.34/2.74 Generated: 292926
% 2.34/2.74 Kept: 10121
% 2.34/2.74 Inuse: 1049
% 2.34/2.74 Deleted: 77
% 2.34/2.74 Deletedinuse: 10
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Intermediate Status:
% 2.34/2.74 Generated: 407704
% 2.34/2.74 Kept: 12127
% 2.34/2.74 Inuse: 1228
% 2.34/2.74 Deleted: 97
% 2.34/2.74 Deletedinuse: 10
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Intermediate Status:
% 2.34/2.74 Generated: 480090
% 2.34/2.74 Kept: 14153
% 2.34/2.74 Inuse: 1350
% 2.34/2.74 Deleted: 103
% 2.34/2.74 Deletedinuse: 10
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74 Done
% 2.34/2.74
% 2.34/2.74 Resimplifying inuse:
% 2.34/2.74
% 2.34/2.74 Bliksems!, er is een bewijs:
% 2.34/2.74 % SZS status Unsatisfiable
% 2.34/2.74 % SZS output start Refutation
% 2.34/2.74
% 2.34/2.74 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.34/2.74 , Z ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 2.34/2.74 X ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.34/2.74 ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 2.34/2.74 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.34/2.74 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 2.34/2.74 ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 2.34/2.74 X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 2.34/2.74 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.34/2.74 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 2.34/2.74 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.34/2.74 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 15, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 16, [ =( 'greatest_lower_bound'( c, d ), c ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 17, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply( b,
% 2.34/2.74 d ) ), multiply( a, c ) ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 18, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 19, [ =( 'greatest_lower_bound'( d, c ), c ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 20, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 2.34/2.74 , identity ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.34/2.74 identity ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 2.34/2.74 ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.34/2.74 X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 2.34/2.74 X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 25, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 2.34/2.74 X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 43, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.34/2.74 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 44, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 45, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 47, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 2.34/2.74 X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 49, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 54, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 2.34/2.74 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 2.34/2.74 'least_upper_bound'( Y, Z ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 60, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ), b ),
% 2.34/2.74 'least_upper_bound'( X, b ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 74, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 2.34/2.74 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 91, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X ), b ),
% 2.34/2.74 b ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 97, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( a, X ) ),
% 2.34/2.74 b ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 110, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 2.34/2.74 'least_upper_bound'( Y, identity ), X ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 113, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( X, a ) )
% 2.34/2.74 , b ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 115, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X ), a
% 2.34/2.74 ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 141, [ ~( =( 'greatest_lower_bound'( multiply( b, d ), multiply( a
% 2.34/2.74 , c ) ), multiply( a, c ) ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 172, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 2.34/2.74 ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 179, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.34/2.74 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 408, [ =( multiply( X, identity ), X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 416, [ =( inverse( inverse( X ) ), X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 419, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 428, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 2.34/2.74 ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 429, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 2.34/2.74 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 2.34/2.74 ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 438, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 2.34/2.74 ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 439, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 2.34/2.74 X, Y ) ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 448, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.34/2.74 inverse( X ) ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 463, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 2.34/2.74 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 1183, [ =( 'least_upper_bound'( identity, multiply( inverse( d ), c
% 2.34/2.74 ) ), identity ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 1186, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 2.34/2.74 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 1208, [ =( 'least_upper_bound'( multiply( inverse( d ), c ),
% 2.34/2.74 identity ), identity ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 2395, [ =( 'least_upper_bound'( multiply( multiply( inverse( d ), c
% 2.34/2.74 ), X ), X ), X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 2779, [ =( 'least_upper_bound'( inverse( d ), inverse( c ) ),
% 2.34/2.74 inverse( c ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 2786, [ =( 'greatest_lower_bound'( identity, multiply( d, inverse(
% 2.34/2.74 c ) ) ), identity ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 2832, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d ),
% 2.34/2.74 inverse( c ) ) ), X ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 2855, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.34/2.74 inverse( c ) ), a ), a ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 15081, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.34/2.74 c ) ), multiply( a, c ) ) ] )
% 2.34/2.74 .
% 2.34/2.74 clause( 15302, [] )
% 2.34/2.74 .
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 % SZS output end Refutation
% 2.34/2.74 found a proof!
% 2.34/2.74
% 2.34/2.74 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.34/2.74
% 2.34/2.74 initialclauses(
% 2.34/2.74 [ clause( 15304, [ =( multiply( identity, X ), X ) ] )
% 2.34/2.74 , clause( 15305, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.34/2.74 , clause( 15306, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.34/2.74 multiply( Y, Z ) ) ) ] )
% 2.34/2.74 , clause( 15307, [ =( 'greatest_lower_bound'( X, Y ),
% 2.34/2.74 'greatest_lower_bound'( Y, X ) ) ] )
% 2.34/2.74 , clause( 15308, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.34/2.74 X ) ) ] )
% 2.34/2.74 , clause( 15309, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 2.34/2.74 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 2.34/2.74 )
% 2.34/2.74 , clause( 15310, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 2.34/2.74 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , clause( 15311, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 2.34/2.74 , clause( 15312, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 2.34/2.74 , clause( 15313, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.34/2.74 ) ), X ) ] )
% 2.34/2.74 , clause( 15314, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.34/2.74 ) ), X ) ] )
% 2.34/2.74 , clause( 15315, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.34/2.74 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.34/2.74 , clause( 15316, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.34/2.74 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.34/2.74 , clause( 15317, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 2.34/2.74 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.34/2.74 , clause( 15318, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.34/2.74 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.34/2.74 , clause( 15319, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.34/2.74 , clause( 15320, [ =( 'greatest_lower_bound'( c, d ), c ) ] )
% 2.34/2.74 , clause( 15321, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply(
% 2.34/2.74 b, d ) ), multiply( a, c ) ) ) ] )
% 2.34/2.74 ] ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.34/2.74 , clause( 15304, [ =( multiply( identity, X ), X ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.34/2.74 , clause( 15305, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15327, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 2.34/2.74 , Y ), Z ) ) ] )
% 2.34/2.74 , clause( 15306, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.34/2.74 multiply( Y, Z ) ) ) ] )
% 2.34/2.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.34/2.74 , Z ) ) ] )
% 2.34/2.74 , clause( 15327, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 2.34/2.74 X, Y ), Z ) ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.34/2.74 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 2.34/2.74 X ) ) ] )
% 2.34/2.74 , clause( 15307, [ =( 'greatest_lower_bound'( X, Y ),
% 2.34/2.74 'greatest_lower_bound'( Y, X ) ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.74 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.34/2.74 ] )
% 2.34/2.74 , clause( 15308, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.34/2.74 X ) ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.74 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 2.34/2.74 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , clause( 15309, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 2.34/2.74 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 2.34/2.74 )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.34/2.74 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.34/2.74 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , clause( 15310, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 2.34/2.74 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.34/2.74 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 2.34/2.74 ) ] )
% 2.34/2.74 , clause( 15313, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.34/2.74 ) ), X ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.74 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 2.34/2.74 X ) ] )
% 2.34/2.74 , clause( 15314, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.34/2.74 ) ), X ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.74 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15369, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.34/2.74 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.34/2.74 , clause( 15315, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.34/2.74 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.34/2.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 2.34/2.74 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.34/2.74 , clause( 15369, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 2.34/2.74 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.34/2.74 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15380, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 2.34/2.74 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.34/2.74 , clause( 15316, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.34/2.74 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.34/2.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.34/2.74 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.34/2.74 , clause( 15380, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 2.34/2.74 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.34/2.74 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15392, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.34/2.74 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , clause( 15317, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 2.34/2.74 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.34/2.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 2.34/2.74 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , clause( 15392, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 2.34/2.74 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.34/2.74 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15405, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 2.34/2.74 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , clause( 15318, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.34/2.74 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.34/2.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.34/2.74 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , clause( 15405, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 2.34/2.74 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.34/2.74 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 15, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.34/2.74 , clause( 15319, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.34/2.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 16, [ =( 'greatest_lower_bound'( c, d ), c ) ] )
% 2.34/2.74 , clause( 15320, [ =( 'greatest_lower_bound'( c, d ), c ) ] )
% 2.34/2.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 17, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply( b,
% 2.34/2.74 d ) ), multiply( a, c ) ) ) ] )
% 2.34/2.74 , clause( 15321, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply(
% 2.34/2.74 b, d ) ), multiply( a, c ) ) ) ] )
% 2.34/2.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15451, [ =( a, 'greatest_lower_bound'( a, b ) ) ] )
% 2.34/2.74 , clause( 15, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.34/2.74 , 0, substitution( 0, [] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 paramod(
% 2.34/2.74 clause( 15452, [ =( a, 'greatest_lower_bound'( b, a ) ) ] )
% 2.34/2.74 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.34/2.74 , X ) ) ] )
% 2.34/2.74 , 0, clause( 15451, [ =( a, 'greatest_lower_bound'( a, b ) ) ] )
% 2.34/2.74 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 2.34/2.74 ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15455, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.34/2.74 , clause( 15452, [ =( a, 'greatest_lower_bound'( b, a ) ) ] )
% 2.34/2.74 , 0, substitution( 0, [] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 18, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.34/2.74 , clause( 15455, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.34/2.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15456, [ =( c, 'greatest_lower_bound'( c, d ) ) ] )
% 2.34/2.74 , clause( 16, [ =( 'greatest_lower_bound'( c, d ), c ) ] )
% 2.34/2.74 , 0, substitution( 0, [] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 paramod(
% 2.34/2.74 clause( 15457, [ =( c, 'greatest_lower_bound'( d, c ) ) ] )
% 2.34/2.74 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.34/2.74 , X ) ) ] )
% 2.34/2.74 , 0, clause( 15456, [ =( c, 'greatest_lower_bound'( c, d ) ) ] )
% 2.34/2.74 , 0, 2, substitution( 0, [ :=( X, c ), :=( Y, d )] ), substitution( 1, [] )
% 2.34/2.74 ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15460, [ =( 'greatest_lower_bound'( d, c ), c ) ] )
% 2.34/2.74 , clause( 15457, [ =( c, 'greatest_lower_bound'( d, c ) ) ] )
% 2.34/2.74 , 0, substitution( 0, [] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 19, [ =( 'greatest_lower_bound'( d, c ), c ) ] )
% 2.34/2.74 , clause( 15460, [ =( 'greatest_lower_bound'( d, c ), c ) ] )
% 2.34/2.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 eqswap(
% 2.34/2.74 clause( 15461, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.34/2.74 Y, Z ) ) ) ] )
% 2.34/2.74 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.34/2.74 ), Z ) ) ] )
% 2.34/2.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 paramod(
% 2.34/2.74 clause( 15464, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.34/2.74 ), identity ) ] )
% 2.34/2.74 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.34/2.74 , 0, clause( 15461, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.34/2.74 multiply( Y, Z ) ) ) ] )
% 2.34/2.74 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 2.34/2.74 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 subsumption(
% 2.34/2.74 clause( 20, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 2.34/2.74 , identity ) ] )
% 2.34/2.74 , clause( 15464, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 2.34/2.74 , Y ), identity ) ] )
% 2.34/2.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15470, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.34/2.75 Y, Z ) ) ) ] )
% 2.34/2.75 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.34/2.75 ), Z ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15475, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 2.34/2.75 , identity ) ) ] )
% 2.34/2.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.34/2.75 , 0, clause( 15470, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.34/2.75 multiply( Y, Z ) ) ) ] )
% 2.34/2.75 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.34/2.75 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.34/2.75 identity ) ) ] )
% 2.34/2.75 , clause( 15475, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 2.34/2.75 X, identity ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15480, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.34/2.75 Y, Z ) ) ) ] )
% 2.34/2.75 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.34/2.75 ), Z ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15485, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.34/2.75 , 0, clause( 15480, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.34/2.75 multiply( Y, Z ) ) ) ] )
% 2.34/2.75 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.34/2.75 :=( Y, identity ), :=( Z, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 2.34/2.75 ] )
% 2.34/2.75 , clause( 15485, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 2.34/2.75 Y ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15490, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15491, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.34/2.75 , X ) ) ] )
% 2.34/2.75 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.34/2.75 , X ) ) ] )
% 2.34/2.75 , 0, clause( 15490, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.34/2.75 X, Y ) ) ) ] )
% 2.34/2.75 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 2.34/2.75 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15494, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 2.34/2.75 ), X ) ] )
% 2.34/2.75 , clause( 15491, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 2.34/2.75 ), X ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.34/2.75 X ) ] )
% 2.34/2.75 , clause( 15494, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.34/2.75 X ), X ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15495, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15496, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.34/2.75 ) ] )
% 2.34/2.75 , 0, clause( 15495, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.34/2.75 X, Y ) ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.34/2.75 :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15499, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 2.34/2.75 ), X ) ] )
% 2.34/2.75 , clause( 15496, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 2.34/2.75 , X ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 2.34/2.75 X ) ] )
% 2.34/2.75 , clause( 15499, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.34/2.75 ) ), X ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15500, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.34/2.75 , X ) ) ] )
% 2.34/2.75 , clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15501, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 2.34/2.75 , X ) ) ] )
% 2.34/2.75 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.34/2.75 ) ] )
% 2.34/2.75 , 0, clause( 15500, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 2.34/2.75 , Y ), X ) ) ] )
% 2.34/2.75 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.34/2.75 :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15504, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 2.34/2.75 ), X ) ] )
% 2.34/2.75 , clause( 15501, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 2.34/2.75 ), X ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 25, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 2.34/2.75 X ) ] )
% 2.34/2.75 , clause( 15504, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 2.34/2.75 X ), X ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15506, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15509, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), X ) ) ] )
% 2.34/2.75 , clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, clause( 15506, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.34/2.75 X, Y ) ) ) ] )
% 2.34/2.75 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.34/2.75 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15510, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.34/2.75 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.75 , clause( 15509, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), X ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 43, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.34/2.75 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.75 , clause( 15510, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 2.34/2.75 , 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15512, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15513, [ =( d, 'least_upper_bound'( d, c ) ) ] )
% 2.34/2.75 , clause( 19, [ =( 'greatest_lower_bound'( d, c ), c ) ] )
% 2.34/2.75 , 0, clause( 15512, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.34/2.75 X, Y ) ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, c )] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15514, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.34/2.75 , clause( 15513, [ =( d, 'least_upper_bound'( d, c ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 44, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.34/2.75 , clause( 15514, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15516, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15517, [ =( b, 'least_upper_bound'( b, a ) ) ] )
% 2.34/2.75 , clause( 18, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.34/2.75 , 0, clause( 15516, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.34/2.75 X, Y ) ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15518, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.34/2.75 , clause( 15517, [ =( b, 'least_upper_bound'( b, a ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 45, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.34/2.75 , clause( 15518, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15519, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15520, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 2.34/2.75 , X ) ) ] )
% 2.34/2.75 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.34/2.75 ) ] )
% 2.34/2.75 , 0, clause( 15519, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.34/2.75 X, Y ) ) ) ] )
% 2.34/2.75 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 2.34/2.75 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15523, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 2.34/2.75 ), X ) ] )
% 2.34/2.75 , clause( 15520, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 2.34/2.75 ), X ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 47, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 2.34/2.75 X ) ] )
% 2.34/2.75 , clause( 15523, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.34/2.75 X ), X ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15524, [ =( b, 'least_upper_bound'( b, a ) ) ] )
% 2.34/2.75 , clause( 45, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15525, [ =( b, 'least_upper_bound'( a, b ) ) ] )
% 2.34/2.75 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.34/2.75 ) ] )
% 2.34/2.75 , 0, clause( 15524, [ =( b, 'least_upper_bound'( b, a ) ) ] )
% 2.34/2.75 , 0, 2, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15528, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.34/2.75 , clause( 15525, [ =( b, 'least_upper_bound'( a, b ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 49, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.34/2.75 , clause( 15528, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15530, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15531, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 2.34/2.75 , X ), Y ) ) ) ] )
% 2.34/2.75 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.34/2.75 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.75 , 0, clause( 15530, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.34/2.75 Y, X ) ) ) ] )
% 2.34/2.75 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.34/2.75 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15532, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.34/2.75 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 2.34/2.75 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.75 , clause( 15531, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 2.34/2.75 , X ), Y ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 54, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 2.34/2.75 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 2.34/2.75 'least_upper_bound'( Y, Z ) ) ] )
% 2.34/2.75 , clause( 15532, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.34/2.75 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 2.34/2.75 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 2.34/2.75 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15534, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.34/2.75 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.34/2.75 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.34/2.75 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15536, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ), b ),
% 2.34/2.75 'least_upper_bound'( X, b ) ) ] )
% 2.34/2.75 , clause( 49, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.34/2.75 , 0, clause( 15534, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 2.34/2.75 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.34/2.75 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, a ),
% 2.34/2.75 :=( Z, b )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 60, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ), b ),
% 2.34/2.75 'least_upper_bound'( X, b ) ) ] )
% 2.34/2.75 , clause( 15536, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ), b )
% 2.34/2.75 , 'least_upper_bound'( X, b ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15540, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.34/2.75 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.34/2.75 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.34/2.75 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15542, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.34/2.75 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.34/2.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.34/2.75 , 0, clause( 15540, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.34/2.75 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.34/2.75 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.34/2.75 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15545, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 2.34/2.75 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.34/2.75 , clause( 15542, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 2.34/2.75 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 74, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 2.34/2.75 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.34/2.75 , clause( 15545, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 2.34/2.75 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15548, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 2.34/2.75 'least_upper_bound'( X, a ), b ) ) ] )
% 2.34/2.75 , clause( 60, [ =( 'least_upper_bound'( 'least_upper_bound'( X, a ), b ),
% 2.34/2.75 'least_upper_bound'( X, b ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15551, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X ), b
% 2.34/2.75 ), 'least_upper_bound'( a, b ) ) ] )
% 2.34/2.75 , clause( 47, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, clause( 15548, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 2.34/2.75 'least_upper_bound'( X, a ), b ) ) ] )
% 2.34/2.75 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [
% 2.34/2.75 :=( X, 'greatest_lower_bound'( a, X ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15552, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X ), b
% 2.34/2.75 ), b ) ] )
% 2.34/2.75 , clause( 49, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.34/2.75 , 0, clause( 15551, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X
% 2.34/2.75 ), b ), 'least_upper_bound'( a, b ) ) ] )
% 2.34/2.75 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 91, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X ), b ),
% 2.34/2.75 b ) ] )
% 2.34/2.75 , clause( 15552, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X ),
% 2.34/2.75 b ), b ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15555, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), X ) ) ] )
% 2.34/2.75 , clause( 43, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.34/2.75 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15557, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X ), b
% 2.34/2.75 ), 'least_upper_bound'( b, 'greatest_lower_bound'( a, X ) ) ) ] )
% 2.34/2.75 , clause( 91, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X ), b )
% 2.34/2.75 , b ) ] )
% 2.34/2.75 , 0, clause( 15555, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), X ) ) ] )
% 2.34/2.75 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.34/2.75 'greatest_lower_bound'( a, X ) ), :=( Y, b )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15558, [ =( b, 'least_upper_bound'( b, 'greatest_lower_bound'( a, X
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 91, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X ), b )
% 2.34/2.75 , b ) ] )
% 2.34/2.75 , 0, clause( 15557, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X
% 2.34/2.75 ), b ), 'least_upper_bound'( b, 'greatest_lower_bound'( a, X ) ) ) ] )
% 2.34/2.75 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15560, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( a, X )
% 2.34/2.75 ), b ) ] )
% 2.34/2.75 , clause( 15558, [ =( b, 'least_upper_bound'( b, 'greatest_lower_bound'( a
% 2.34/2.75 , X ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 97, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( a, X ) ),
% 2.34/2.75 b ) ] )
% 2.34/2.75 , clause( 15560, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( a, X
% 2.34/2.75 ) ), b ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15563, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.34/2.75 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.34/2.75 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.34/2.75 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15565, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 2.34/2.75 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.34/2.75 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.34/2.75 , 0, clause( 15563, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.34/2.75 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.34/2.75 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.34/2.75 :=( Y, Y ), :=( Z, identity )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15567, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 2.34/2.75 'least_upper_bound'( X, identity ), Y ) ) ] )
% 2.34/2.75 , clause( 15565, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 2.34/2.75 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 110, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 2.34/2.75 'least_upper_bound'( Y, identity ), X ) ) ] )
% 2.34/2.75 , clause( 15567, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 2.34/2.75 'least_upper_bound'( X, identity ), Y ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15568, [ =( b, 'least_upper_bound'( b, 'greatest_lower_bound'( a, X
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 97, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( a, X ) )
% 2.34/2.75 , b ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15569, [ =( b, 'least_upper_bound'( b, 'greatest_lower_bound'( X, a
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.34/2.75 , X ) ) ] )
% 2.34/2.75 , 0, clause( 15568, [ =( b, 'least_upper_bound'( b, 'greatest_lower_bound'(
% 2.34/2.75 a, X ) ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [
% 2.34/2.75 :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15572, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( X, a )
% 2.34/2.75 ), b ) ] )
% 2.34/2.75 , clause( 15569, [ =( b, 'least_upper_bound'( b, 'greatest_lower_bound'( X
% 2.34/2.75 , a ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 113, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( X, a ) )
% 2.34/2.75 , b ) ] )
% 2.34/2.75 , clause( 15572, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( X, a
% 2.34/2.75 ) ), b ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15574, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.34/2.75 , Y ) ) ] )
% 2.34/2.75 , clause( 25, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15577, [ =( 'greatest_lower_bound'( X, a ), 'greatest_lower_bound'(
% 2.34/2.75 b, 'greatest_lower_bound'( X, a ) ) ) ] )
% 2.34/2.75 , clause( 113, [ =( 'least_upper_bound'( b, 'greatest_lower_bound'( X, a )
% 2.34/2.75 ), b ) ] )
% 2.34/2.75 , 0, clause( 15574, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X
% 2.34/2.75 , Y ), Y ) ) ] )
% 2.34/2.75 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, b ),
% 2.34/2.75 :=( Y, 'greatest_lower_bound'( X, a ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15578, [ =( 'greatest_lower_bound'( X, a ), 'greatest_lower_bound'(
% 2.34/2.75 'greatest_lower_bound'( b, X ), a ) ) ] )
% 2.34/2.75 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 2.34/2.75 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.34/2.75 , 0, clause( 15577, [ =( 'greatest_lower_bound'( X, a ),
% 2.34/2.75 'greatest_lower_bound'( b, 'greatest_lower_bound'( X, a ) ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, X ), :=( Z, a )] ),
% 2.34/2.75 substitution( 1, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15579, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X )
% 2.34/2.75 , a ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.34/2.75 , clause( 15578, [ =( 'greatest_lower_bound'( X, a ),
% 2.34/2.75 'greatest_lower_bound'( 'greatest_lower_bound'( b, X ), a ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 115, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X ), a
% 2.34/2.75 ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.34/2.75 , clause( 15579, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X
% 2.34/2.75 ), a ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15580, [ ~( =( multiply( a, c ), 'greatest_lower_bound'( multiply(
% 2.34/2.75 a, c ), multiply( b, d ) ) ) ) ] )
% 2.34/2.75 , clause( 17, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply( b
% 2.34/2.75 , d ) ), multiply( a, c ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15581, [ ~( =( multiply( a, c ), 'greatest_lower_bound'( multiply(
% 2.34/2.75 b, d ), multiply( a, c ) ) ) ) ] )
% 2.34/2.75 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.34/2.75 , X ) ) ] )
% 2.34/2.75 , 0, clause( 15580, [ ~( =( multiply( a, c ), 'greatest_lower_bound'(
% 2.34/2.75 multiply( a, c ), multiply( b, d ) ) ) ) ] )
% 2.34/2.75 , 0, 5, substitution( 0, [ :=( X, multiply( a, c ) ), :=( Y, multiply( b, d
% 2.34/2.75 ) )] ), substitution( 1, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15584, [ ~( =( 'greatest_lower_bound'( multiply( b, d ), multiply(
% 2.34/2.75 a, c ) ), multiply( a, c ) ) ) ] )
% 2.34/2.75 , clause( 15581, [ ~( =( multiply( a, c ), 'greatest_lower_bound'( multiply(
% 2.34/2.75 b, d ), multiply( a, c ) ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 141, [ ~( =( 'greatest_lower_bound'( multiply( b, d ), multiply( a
% 2.34/2.75 , c ) ), multiply( a, c ) ) ) ] )
% 2.34/2.75 , clause( 15584, [ ~( =( 'greatest_lower_bound'( multiply( b, d ), multiply(
% 2.34/2.75 a, c ) ), multiply( a, c ) ) ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15586, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 2.34/2.75 Y ) ), Y ) ) ] )
% 2.34/2.75 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 2.34/2.75 , identity ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15589, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 2.34/2.75 identity, X ) ) ] )
% 2.34/2.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.34/2.75 , 0, clause( 15586, [ =( multiply( X, identity ), multiply( multiply( X,
% 2.34/2.75 inverse( Y ) ), Y ) ) ] )
% 2.34/2.75 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 2.34/2.75 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15590, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.34/2.75 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.34/2.75 , 0, clause( 15589, [ =( multiply( inverse( inverse( X ) ), identity ),
% 2.34/2.75 multiply( identity, X ) ) ] )
% 2.34/2.75 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 172, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.34/2.75 , clause( 15590, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 2.34/2.75 )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15593, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 2.34/2.75 ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15596, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 172, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.34/2.75 , 0, clause( 15593, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 2.34/2.75 ), Y ) ) ] )
% 2.34/2.75 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.34/2.75 inverse( X ) ) ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 2.34/2.75 ) ] )
% 2.34/2.75 , clause( 15596, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 2.34/2.75 Y ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15603, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.34/2.75 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.34/2.75 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.34/2.75 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15606, [ =( multiply( inverse( inverse( X ) ),
% 2.34/2.75 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 2.34/2.75 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 2.34/2.75 , clause( 172, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.34/2.75 , 0, clause( 15603, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.34/2.75 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.34/2.75 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.34/2.75 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15616, [ =( multiply( inverse( inverse( X ) ),
% 2.34/2.75 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 2.34/2.75 multiply( X, Y ) ) ) ] )
% 2.34/2.75 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, clause( 15606, [ =( multiply( inverse( inverse( X ) ),
% 2.34/2.75 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 2.34/2.75 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 2.34/2.75 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.34/2.75 :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15618, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 2.34/2.75 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.34/2.75 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, clause( 15616, [ =( multiply( inverse( inverse( X ) ),
% 2.34/2.75 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 2.34/2.75 multiply( X, Y ) ) ) ] )
% 2.34/2.75 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 2.34/2.75 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15619, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.34/2.75 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.34/2.75 , clause( 15618, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 2.34/2.75 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 179, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.34/2.75 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.34/2.75 , clause( 15619, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 2.34/2.75 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15620, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15623, [ =( multiply( X, identity ), X ) ] )
% 2.34/2.75 , clause( 172, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.34/2.75 , 0, clause( 15620, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 2.34/2.75 ), Y ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.34/2.75 :=( Y, identity )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 408, [ =( multiply( X, identity ), X ) ] )
% 2.34/2.75 , clause( 15623, [ =( multiply( X, identity ), X ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15628, [ =( X, multiply( X, identity ) ) ] )
% 2.34/2.75 , clause( 408, [ =( multiply( X, identity ), X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15631, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 2.34/2.75 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, clause( 15628, [ =( X, multiply( X, identity ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 2.34/2.75 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15632, [ =( inverse( inverse( X ) ), X ) ] )
% 2.34/2.75 , clause( 408, [ =( multiply( X, identity ), X ) ] )
% 2.34/2.75 , 0, clause( 15631, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 2.34/2.75 ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 416, [ =( inverse( inverse( X ) ), X ) ] )
% 2.34/2.75 , clause( 15632, [ =( inverse( inverse( X ) ), X ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15635, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 2.34/2.75 Y ) ), Y ) ) ] )
% 2.34/2.75 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 2.34/2.75 , identity ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15637, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 2.34/2.75 inverse( Y ) ) ) ] )
% 2.34/2.75 , clause( 416, [ =( inverse( inverse( X ) ), X ) ] )
% 2.34/2.75 , 0, clause( 15635, [ =( multiply( X, identity ), multiply( multiply( X,
% 2.34/2.75 inverse( Y ) ), Y ) ) ] )
% 2.34/2.75 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.34/2.75 :=( Y, inverse( Y ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15638, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.34/2.75 , clause( 408, [ =( multiply( X, identity ), X ) ] )
% 2.34/2.75 , 0, clause( 15637, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 2.34/2.75 ), inverse( Y ) ) ) ] )
% 2.34/2.75 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.34/2.75 :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15639, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.34/2.75 , clause( 15638, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 419, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.34/2.75 , clause( 15639, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15641, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.34/2.75 , clause( 419, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15646, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 2.34/2.75 identity, inverse( Y ) ) ) ] )
% 2.34/2.75 , clause( 20, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.34/2.75 ), identity ) ] )
% 2.34/2.75 , 0, clause( 15641, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 2.34/2.75 )
% 2.34/2.75 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.34/2.75 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15647, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.34/2.75 , 0, clause( 15646, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 2.34/2.75 multiply( identity, inverse( Y ) ) ) ] )
% 2.34/2.75 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 2.34/2.75 :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 428, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 2.34/2.75 ) ] )
% 2.34/2.75 , clause( 15647, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 2.34/2.75 Y ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15650, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.34/2.75 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.34/2.75 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.34/2.75 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15651, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 2.34/2.75 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 419, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.34/2.75 , 0, clause( 15650, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.34/2.75 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.34/2.75 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.34/2.75 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 429, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 2.34/2.75 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 2.34/2.75 ) ] )
% 2.34/2.75 , clause( 15651, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 2.34/2.75 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.34/2.75 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15655, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 428, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15659, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 2.34/2.75 inverse( multiply( X, Y ) ) ) ) ] )
% 2.34/2.75 , clause( 428, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, clause( 15655, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 2.34/2.75 ), X ) ) ] )
% 2.34/2.75 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.34/2.75 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15660, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 178, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, clause( 15659, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 2.34/2.75 inverse( multiply( X, Y ) ) ) ) ] )
% 2.34/2.75 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 2.34/2.75 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15661, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 15660, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 438, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 2.34/2.75 ) ] )
% 2.34/2.75 , clause( 15661, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 2.34/2.75 X ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15663, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.34/2.75 , clause( 419, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15666, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 2.34/2.75 inverse( X ) ) ) ] )
% 2.34/2.75 , clause( 428, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, clause( 15663, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 2.34/2.75 )
% 2.34/2.75 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.34/2.75 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15667, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.34/2.75 multiply( X, Y ) ) ) ] )
% 2.34/2.75 , clause( 15666, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 2.34/2.75 inverse( X ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 439, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 2.34/2.75 X, Y ) ) ) ] )
% 2.34/2.75 , clause( 15667, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.34/2.75 multiply( X, Y ) ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15669, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 438, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15674, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.34/2.75 inverse( multiply( X, identity ) ) ) ) ] )
% 2.34/2.75 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 2.34/2.75 , identity ) ) ] )
% 2.34/2.75 , 0, clause( 15669, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 2.34/2.75 ) ) ) ) ] )
% 2.34/2.75 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.34/2.75 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15675, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.34/2.75 inverse( X ) ) ) ] )
% 2.34/2.75 , clause( 408, [ =( multiply( X, identity ), X ) ] )
% 2.34/2.75 , 0, clause( 15674, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 2.34/2.75 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 2.34/2.75 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.34/2.75 :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 448, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.34/2.75 inverse( X ) ) ) ] )
% 2.34/2.75 , clause( 15675, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.34/2.75 inverse( X ) ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15678, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 2.34/2.75 , X ), Y ) ) ) ] )
% 2.34/2.75 , clause( 54, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 2.34/2.75 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 2.34/2.75 'least_upper_bound'( Y, Z ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15681, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.34/2.75 , clause( 43, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.34/2.75 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.75 , 0, clause( 15678, [ =( 'least_upper_bound'( X, Y ),
% 2.34/2.75 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.34/2.75 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 2.34/2.75 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.34/2.75 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15687, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.34/2.75 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.75 , clause( 15681, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 463, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 2.34/2.75 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 2.34/2.75 , clause( 15687, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.34/2.75 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15690, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.34/2.75 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.34/2.75 , clause( 74, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 2.34/2.75 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15692, [ =( multiply( inverse( d ), d ), 'least_upper_bound'(
% 2.34/2.75 identity, multiply( inverse( d ), c ) ) ) ] )
% 2.34/2.75 , clause( 44, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.34/2.75 , 0, clause( 15690, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 2.34/2.75 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, c )] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15693, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.34/2.75 inverse( d ), c ) ) ) ] )
% 2.34/2.75 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.34/2.75 , 0, clause( 15692, [ =( multiply( inverse( d ), d ), 'least_upper_bound'(
% 2.34/2.75 identity, multiply( inverse( d ), c ) ) ) ] )
% 2.34/2.75 , 0, 1, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15694, [ =( 'least_upper_bound'( identity, multiply( inverse( d ),
% 2.34/2.75 c ) ), identity ) ] )
% 2.34/2.75 , clause( 15693, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.34/2.75 inverse( d ), c ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 1183, [ =( 'least_upper_bound'( identity, multiply( inverse( d ), c
% 2.34/2.75 ) ), identity ) ] )
% 2.34/2.75 , clause( 15694, [ =( 'least_upper_bound'( identity, multiply( inverse( d )
% 2.34/2.75 , c ) ), identity ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15696, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.34/2.75 ) ) ) ] )
% 2.34/2.75 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15697, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.34/2.75 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.34/2.75 , clause( 74, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 2.34/2.75 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.34/2.75 , 0, clause( 15696, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.34/2.75 X, Y ) ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.34/2.75 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15698, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 2.34/2.75 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.34/2.75 , clause( 15697, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.34/2.75 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 1186, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 2.34/2.75 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.34/2.75 , clause( 15698, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.34/2.75 X ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.75 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15700, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 2.34/2.75 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.34/2.75 , clause( 463, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 2.34/2.75 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15704, [ =( 'least_upper_bound'( multiply( inverse( d ), c ),
% 2.34/2.75 identity ), 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 2.34/2.75 inverse( d ), c ), identity ), identity ) ) ] )
% 2.34/2.75 , clause( 1183, [ =( 'least_upper_bound'( identity, multiply( inverse( d )
% 2.34/2.75 , c ) ), identity ) ] )
% 2.34/2.75 , 0, clause( 15700, [ =( 'least_upper_bound'( X, Y ),
% 2.34/2.75 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.34/2.75 Y, X ) ) ) ] )
% 2.34/2.75 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( inverse(
% 2.34/2.75 d ), c ) ), :=( Y, identity )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15706, [ =( 'least_upper_bound'( multiply( inverse( d ), c ),
% 2.34/2.75 identity ), identity ) ] )
% 2.34/2.75 , clause( 25, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 2.34/2.75 , X ) ] )
% 2.34/2.75 , 0, clause( 15704, [ =( 'least_upper_bound'( multiply( inverse( d ), c ),
% 2.34/2.75 identity ), 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 2.34/2.75 inverse( d ), c ), identity ), identity ) ) ] )
% 2.34/2.75 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, multiply( inverse( d )
% 2.34/2.75 , c ) )] ), substitution( 1, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 1208, [ =( 'least_upper_bound'( multiply( inverse( d ), c ),
% 2.34/2.75 identity ), identity ) ] )
% 2.34/2.75 , clause( 15706, [ =( 'least_upper_bound'( multiply( inverse( d ), c ),
% 2.34/2.75 identity ), identity ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15709, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 2.34/2.75 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.34/2.75 , clause( 110, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 2.34/2.75 'least_upper_bound'( Y, identity ), X ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15711, [ =( multiply( identity, X ), 'least_upper_bound'( multiply(
% 2.34/2.75 multiply( inverse( d ), c ), X ), X ) ) ] )
% 2.34/2.75 , clause( 1208, [ =( 'least_upper_bound'( multiply( inverse( d ), c ),
% 2.34/2.75 identity ), identity ) ] )
% 2.34/2.75 , 0, clause( 15709, [ =( multiply( 'least_upper_bound'( X, identity ), Y )
% 2.34/2.75 , 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.34/2.75 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( inverse(
% 2.34/2.75 d ), c ) ), :=( Y, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15712, [ =( X, 'least_upper_bound'( multiply( multiply( inverse( d
% 2.34/2.75 ), c ), X ), X ) ) ] )
% 2.34/2.75 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.34/2.75 , 0, clause( 15711, [ =( multiply( identity, X ), 'least_upper_bound'(
% 2.34/2.75 multiply( multiply( inverse( d ), c ), X ), X ) ) ] )
% 2.34/2.75 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15713, [ =( 'least_upper_bound'( multiply( multiply( inverse( d ),
% 2.34/2.75 c ), X ), X ), X ) ] )
% 2.34/2.75 , clause( 15712, [ =( X, 'least_upper_bound'( multiply( multiply( inverse(
% 2.34/2.75 d ), c ), X ), X ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 2395, [ =( 'least_upper_bound'( multiply( multiply( inverse( d ), c
% 2.34/2.75 ), X ), X ), X ) ] )
% 2.34/2.75 , clause( 15713, [ =( 'least_upper_bound'( multiply( multiply( inverse( d )
% 2.34/2.75 , c ), X ), X ), X ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15715, [ =( X, 'least_upper_bound'( multiply( multiply( inverse( d
% 2.34/2.75 ), c ), X ), X ) ) ] )
% 2.34/2.75 , clause( 2395, [ =( 'least_upper_bound'( multiply( multiply( inverse( d )
% 2.34/2.75 , c ), X ), X ), X ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15716, [ =( inverse( c ), 'least_upper_bound'( inverse( d ),
% 2.34/2.75 inverse( c ) ) ) ] )
% 2.34/2.75 , clause( 419, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.34/2.75 , 0, clause( 15715, [ =( X, 'least_upper_bound'( multiply( multiply(
% 2.34/2.75 inverse( d ), c ), X ), X ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, c ), :=( Y, inverse( d ) )] ),
% 2.34/2.75 substitution( 1, [ :=( X, inverse( c ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15717, [ =( 'least_upper_bound'( inverse( d ), inverse( c ) ),
% 2.34/2.75 inverse( c ) ) ] )
% 2.34/2.75 , clause( 15716, [ =( inverse( c ), 'least_upper_bound'( inverse( d ),
% 2.34/2.75 inverse( c ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 2779, [ =( 'least_upper_bound'( inverse( d ), inverse( c ) ),
% 2.34/2.75 inverse( c ) ) ] )
% 2.34/2.75 , clause( 15717, [ =( 'least_upper_bound'( inverse( d ), inverse( c ) ),
% 2.34/2.75 inverse( c ) ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15719, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.34/2.75 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.34/2.75 , clause( 1186, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 2.34/2.75 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15722, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.34/2.75 inverse( inverse( d ) ), inverse( c ) ) ) ) ] )
% 2.34/2.75 , clause( 2779, [ =( 'least_upper_bound'( inverse( d ), inverse( c ) ),
% 2.34/2.75 inverse( c ) ) ] )
% 2.34/2.75 , 0, clause( 15719, [ =( identity, 'greatest_lower_bound'( identity,
% 2.34/2.75 multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.34/2.75 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( d ) ),
% 2.34/2.75 :=( Y, inverse( c ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15723, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 2.34/2.75 multiply( c, inverse( d ) ) ) ) ) ] )
% 2.34/2.75 , clause( 439, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.34/2.75 multiply( X, Y ) ) ) ] )
% 2.34/2.75 , 0, clause( 15722, [ =( identity, 'greatest_lower_bound'( identity,
% 2.34/2.75 multiply( inverse( inverse( d ) ), inverse( c ) ) ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, c ), :=( Y, inverse( d ) )] ),
% 2.34/2.75 substitution( 1, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15724, [ =( identity, 'greatest_lower_bound'( identity, multiply( d
% 2.34/2.75 , inverse( c ) ) ) ) ] )
% 2.34/2.75 , clause( 448, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.34/2.75 inverse( X ) ) ) ] )
% 2.34/2.75 , 0, clause( 15723, [ =( identity, 'greatest_lower_bound'( identity,
% 2.34/2.75 inverse( multiply( c, inverse( d ) ) ) ) ) ] )
% 2.34/2.75 , 0, 4, substitution( 0, [ :=( X, c ), :=( Y, d )] ), substitution( 1, [] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15725, [ =( 'greatest_lower_bound'( identity, multiply( d, inverse(
% 2.34/2.75 c ) ) ), identity ) ] )
% 2.34/2.75 , clause( 15724, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.34/2.75 d, inverse( c ) ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 2786, [ =( 'greatest_lower_bound'( identity, multiply( d, inverse(
% 2.34/2.75 c ) ) ), identity ) ] )
% 2.34/2.75 , clause( 15725, [ =( 'greatest_lower_bound'( identity, multiply( d,
% 2.34/2.75 inverse( c ) ) ), identity ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15727, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 2.34/2.75 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.34/2.75 , clause( 179, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.34/2.75 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15730, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 2.34/2.75 multiply( X, multiply( d, inverse( c ) ) ) ) ) ] )
% 2.34/2.75 , clause( 2786, [ =( 'greatest_lower_bound'( identity, multiply( d, inverse(
% 2.34/2.75 c ) ) ), identity ) ] )
% 2.34/2.75 , 0, clause( 15727, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 2.34/2.75 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.34/2.75 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.34/2.75 multiply( d, inverse( c ) ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15731, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 2.34/2.75 multiply( multiply( X, d ), inverse( c ) ) ) ) ] )
% 2.34/2.75 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.34/2.75 ), Z ) ) ] )
% 2.34/2.75 , 0, clause( 15730, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 2.34/2.75 , multiply( X, multiply( d, inverse( c ) ) ) ) ) ] )
% 2.34/2.75 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, d ), :=( Z, inverse( c ) )] )
% 2.34/2.75 , substitution( 1, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15732, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, d
% 2.34/2.75 ), inverse( c ) ) ) ) ] )
% 2.34/2.75 , clause( 408, [ =( multiply( X, identity ), X ) ] )
% 2.34/2.75 , 0, clause( 15731, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 2.34/2.75 , multiply( multiply( X, d ), inverse( c ) ) ) ) ] )
% 2.34/2.75 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.34/2.75 ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15733, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d ),
% 2.34/2.75 inverse( c ) ) ), X ) ] )
% 2.34/2.75 , clause( 15732, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X,
% 2.34/2.75 d ), inverse( c ) ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 2832, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d ),
% 2.34/2.75 inverse( c ) ) ), X ) ] )
% 2.34/2.75 , clause( 15733, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d )
% 2.34/2.75 , inverse( c ) ) ), X ) ] )
% 2.34/2.75 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15735, [ =( 'greatest_lower_bound'( X, a ), 'greatest_lower_bound'(
% 2.34/2.75 'greatest_lower_bound'( b, X ), a ) ) ] )
% 2.34/2.75 , clause( 115, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X )
% 2.34/2.75 , a ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15737, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.34/2.75 inverse( c ) ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 2.34/2.75 , clause( 2832, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d )
% 2.34/2.75 , inverse( c ) ) ), X ) ] )
% 2.34/2.75 , 0, clause( 15735, [ =( 'greatest_lower_bound'( X, a ),
% 2.34/2.75 'greatest_lower_bound'( 'greatest_lower_bound'( b, X ), a ) ) ] )
% 2.34/2.75 , 0, 10, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X,
% 2.34/2.75 multiply( multiply( b, d ), inverse( c ) ) )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15738, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.34/2.75 inverse( c ) ), a ), a ) ] )
% 2.34/2.75 , clause( 18, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.34/2.75 , 0, clause( 15737, [ =( 'greatest_lower_bound'( multiply( multiply( b, d )
% 2.34/2.75 , inverse( c ) ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 2.34/2.75 , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 2855, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.34/2.75 inverse( c ) ), a ), a ) ] )
% 2.34/2.75 , clause( 15738, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.34/2.75 inverse( c ) ), a ), a ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqswap(
% 2.34/2.75 clause( 15741, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 2.34/2.75 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , clause( 429, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 2.34/2.75 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 2.34/2.75 ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15743, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.34/2.75 inverse( inverse( c ) ) ) ), multiply( a, inverse( inverse( c ) ) ) ) ]
% 2.34/2.75 )
% 2.34/2.75 , clause( 2855, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.34/2.75 inverse( c ) ), a ), a ) ] )
% 2.34/2.75 , 0, clause( 15741, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 2.34/2.75 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 2.34/2.75 Y ) ) ) ] )
% 2.34/2.75 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( b, d )
% 2.34/2.75 ), :=( Y, inverse( c ) ), :=( Z, a )] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15745, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.34/2.75 inverse( inverse( c ) ) ) ), multiply( a, c ) ) ] )
% 2.34/2.75 , clause( 416, [ =( inverse( inverse( X ) ), X ) ] )
% 2.34/2.75 , 0, clause( 15743, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply(
% 2.34/2.75 a, inverse( inverse( c ) ) ) ), multiply( a, inverse( inverse( c ) ) ) )
% 2.34/2.75 ] )
% 2.34/2.75 , 0, 12, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15746, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.34/2.75 c ) ), multiply( a, c ) ) ] )
% 2.34/2.75 , clause( 416, [ =( inverse( inverse( X ) ), X ) ] )
% 2.34/2.75 , 0, clause( 15745, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply(
% 2.34/2.75 a, inverse( inverse( c ) ) ) ), multiply( a, c ) ) ] )
% 2.34/2.75 , 0, 7, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 15081, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.34/2.75 c ) ), multiply( a, c ) ) ] )
% 2.34/2.75 , clause( 15746, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a
% 2.34/2.75 , c ) ), multiply( a, c ) ) ] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 paramod(
% 2.34/2.75 clause( 15752, [ ~( =( multiply( a, c ), multiply( a, c ) ) ) ] )
% 2.34/2.75 , clause( 15081, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a
% 2.34/2.75 , c ) ), multiply( a, c ) ) ] )
% 2.34/2.75 , 0, clause( 141, [ ~( =( 'greatest_lower_bound'( multiply( b, d ),
% 2.34/2.75 multiply( a, c ) ), multiply( a, c ) ) ) ] )
% 2.34/2.75 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 eqrefl(
% 2.34/2.75 clause( 15753, [] )
% 2.34/2.75 , clause( 15752, [ ~( =( multiply( a, c ), multiply( a, c ) ) ) ] )
% 2.34/2.75 , 0, substitution( 0, [] )).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 subsumption(
% 2.34/2.75 clause( 15302, [] )
% 2.34/2.75 , clause( 15753, [] )
% 2.34/2.75 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 end.
% 2.34/2.75
% 2.34/2.75 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.34/2.75
% 2.34/2.75 Memory use:
% 2.34/2.75
% 2.34/2.75 space for terms: 205977
% 2.34/2.75 space for clauses: 1629688
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 clauses generated: 504772
% 2.34/2.75 clauses kept: 15303
% 2.34/2.75 clauses selected: 1391
% 2.34/2.75 clauses deleted: 156
% 2.34/2.75 clauses inuse deleted: 63
% 2.34/2.75
% 2.34/2.75 subsentry: 32266
% 2.34/2.75 literals s-matched: 31254
% 2.34/2.75 literals matched: 31226
% 2.34/2.75 full subsumption: 0
% 2.34/2.75
% 2.34/2.75 checksum: 361005678
% 2.34/2.75
% 2.34/2.75
% 2.34/2.75 Bliksem ended
%------------------------------------------------------------------------------