TSTP Solution File: GRP169-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP169-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 0.84s 1.22s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP169-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jun 13 11:56:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.84/1.22 *** allocated 10000 integers for termspace/termends
% 0.84/1.22 *** allocated 10000 integers for clauses
% 0.84/1.22 *** allocated 10000 integers for justifications
% 0.84/1.22 Bliksem 1.12
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 Automatic Strategy Selection
% 0.84/1.22
% 0.84/1.22 Clauses:
% 0.84/1.22 [
% 0.84/1.22 [ =( multiply( identity, X ), X ) ],
% 0.84/1.22 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.84/1.22 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.84/1.22 ],
% 0.84/1.22 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.84/1.22 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.84/1.22 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.84/1.22 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.84/1.22 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.84/1.22 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.84/1.22 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.84/1.22 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.84/1.22 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.84/1.22 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.84/1.22 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.84/1.22 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.84/1.22 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.84/1.22 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.84/1.22 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.84/1.22 [ =( 'greatest_lower_bound'( inverse( a ), inverse( b ) ), inverse( a )
% 0.84/1.22 ) ],
% 0.84/1.22 [ ~( =( 'greatest_lower_bound'( a, b ), b ) ) ]
% 0.84/1.22 ] .
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 percentage equality = 1.000000, percentage horn = 1.000000
% 0.84/1.22 This is a pure equality problem
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 Options Used:
% 0.84/1.22
% 0.84/1.22 useres = 1
% 0.84/1.22 useparamod = 1
% 0.84/1.22 useeqrefl = 1
% 0.84/1.22 useeqfact = 1
% 0.84/1.22 usefactor = 1
% 0.84/1.22 usesimpsplitting = 0
% 0.84/1.22 usesimpdemod = 5
% 0.84/1.22 usesimpres = 3
% 0.84/1.22
% 0.84/1.22 resimpinuse = 1000
% 0.84/1.22 resimpclauses = 20000
% 0.84/1.22 substype = eqrewr
% 0.84/1.22 backwardsubs = 1
% 0.84/1.22 selectoldest = 5
% 0.84/1.22
% 0.84/1.22 litorderings [0] = split
% 0.84/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.22
% 0.84/1.22 termordering = kbo
% 0.84/1.22
% 0.84/1.22 litapriori = 0
% 0.84/1.22 termapriori = 1
% 0.84/1.22 litaposteriori = 0
% 0.84/1.22 termaposteriori = 0
% 0.84/1.22 demodaposteriori = 0
% 0.84/1.22 ordereqreflfact = 0
% 0.84/1.22
% 0.84/1.22 litselect = negord
% 0.84/1.22
% 0.84/1.22 maxweight = 15
% 0.84/1.22 maxdepth = 30000
% 0.84/1.22 maxlength = 115
% 0.84/1.22 maxnrvars = 195
% 0.84/1.22 excuselevel = 1
% 0.84/1.22 increasemaxweight = 1
% 0.84/1.22
% 0.84/1.22 maxselected = 10000000
% 0.84/1.22 maxnrclauses = 10000000
% 0.84/1.22
% 0.84/1.22 showgenerated = 0
% 0.84/1.22 showkept = 0
% 0.84/1.22 showselected = 0
% 0.84/1.22 showdeleted = 0
% 0.84/1.22 showresimp = 1
% 0.84/1.22 showstatus = 2000
% 0.84/1.22
% 0.84/1.22 prologoutput = 1
% 0.84/1.22 nrgoals = 5000000
% 0.84/1.22 totalproof = 1
% 0.84/1.22
% 0.84/1.22 Symbols occurring in the translation:
% 0.84/1.22
% 0.84/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.22 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.84/1.22 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.84/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.22 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.84/1.22 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.84/1.22 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.84/1.22 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.84/1.22 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.84/1.22 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.84/1.22 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 Starting Search:
% 0.84/1.22
% 0.84/1.22 Resimplifying inuse:
% 0.84/1.22 Done
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 Bliksems!, er is een bewijs:
% 0.84/1.22 % SZS status Unsatisfiable
% 0.84/1.22 % SZS output start Refutation
% 0.84/1.22
% 0.84/1.22 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.84/1.22 , Z ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.84/1.22 X ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.84/1.22 ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.84/1.22 ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.84/1.22 X ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.84/1.22 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.84/1.22 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 15, [ =( 'greatest_lower_bound'( inverse( a ), inverse( b ) ),
% 0.84/1.22 inverse( a ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 16, [ ~( =( 'greatest_lower_bound'( a, b ), b ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.84/1.22 , identity ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.84/1.22 identity ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.84/1.22 ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 20, [ ~( =( 'greatest_lower_bound'( b, a ), b ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 22, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 0.84/1.22 X ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 38, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.84/1.22 X ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 57, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ), inverse(
% 0.84/1.22 b ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 64, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 0.84/1.22 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 82, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 86, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 0.84/1.22 'least_upper_bound'( Z, X ), Y ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 88, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 0.84/1.22 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 93, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.84/1.22 multiply( Y, X ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 171, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 178, [ =( inverse( identity ), identity ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 198, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 199, [ =( inverse( inverse( X ) ), X ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 200, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.84/1.22 ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 218, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.84/1.22 X, Y ) ) ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 639, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.84/1.22 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 686, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ), b )
% 0.84/1.22 , identity ) ), identity ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 689, [ =( 'least_upper_bound'( identity, multiply( inverse( a ), b
% 0.84/1.22 ) ), identity ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 1015, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) ),
% 0.84/1.22 identity ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 1049, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.84/1.22 .
% 0.84/1.22 clause( 1067, [] )
% 0.84/1.22 .
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 % SZS output end Refutation
% 0.84/1.22 found a proof!
% 0.84/1.22
% 0.84/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.22
% 0.84/1.22 initialclauses(
% 0.84/1.22 [ clause( 1069, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.22 , clause( 1070, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , clause( 1071, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.84/1.22 Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 1072, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.84/1.22 Y, X ) ) ] )
% 0.84/1.22 , clause( 1073, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , clause( 1074, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.84/1.22 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.84/1.22 , clause( 1075, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.84/1.22 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.22 , clause( 1076, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.84/1.22 , clause( 1077, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.84/1.22 , clause( 1078, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.84/1.22 ), X ) ] )
% 0.84/1.22 , clause( 1079, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.84/1.22 ), X ) ] )
% 0.84/1.22 , clause( 1080, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.84/1.22 , clause( 1081, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.84/1.22 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.84/1.22 , clause( 1082, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 1083, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.84/1.22 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 1084, [ =( 'greatest_lower_bound'( inverse( a ), inverse( b ) ),
% 0.84/1.22 inverse( a ) ) ] )
% 0.84/1.22 , clause( 1085, [ ~( =( 'greatest_lower_bound'( a, b ), b ) ) ] )
% 0.84/1.22 ] ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.22 , clause( 1069, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , clause( 1070, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1091, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.84/1.22 Y ), Z ) ) ] )
% 0.84/1.22 , clause( 1071, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.84/1.22 Y, Z ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.84/1.22 , Z ) ) ] )
% 0.84/1.22 , clause( 1091, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.84/1.22 , Y ), Z ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.84/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.84/1.22 X ) ) ] )
% 0.84/1.22 , clause( 1072, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.84/1.22 Y, X ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.84/1.22 ] )
% 0.84/1.22 , clause( 1073, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 1078, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.84/1.22 ), X ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.84/1.22 X ) ] )
% 0.84/1.22 , clause( 1079, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.84/1.22 ), X ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1124, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.84/1.22 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 1080, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.84/1.22 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 1124, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 0.84/1.22 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.84/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1136, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.84/1.22 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.22 , clause( 1082, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.84/1.22 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.22 , clause( 1136, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 0.84/1.22 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.84/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 15, [ =( 'greatest_lower_bound'( inverse( a ), inverse( b ) ),
% 0.84/1.22 inverse( a ) ) ] )
% 0.84/1.22 , clause( 1084, [ =( 'greatest_lower_bound'( inverse( a ), inverse( b ) ),
% 0.84/1.22 inverse( a ) ) ] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 16, [ ~( =( 'greatest_lower_bound'( a, b ), b ) ) ] )
% 0.84/1.22 , clause( 1085, [ ~( =( 'greatest_lower_bound'( a, b ), b ) ) ] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1166, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.84/1.22 Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.84/1.22 ), Z ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1169, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.84/1.22 ), identity ) ] )
% 0.84/1.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , 0, clause( 1166, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.84/1.22 multiply( Y, Z ) ) ) ] )
% 0.84/1.22 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.84/1.22 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.84/1.22 , identity ) ] )
% 0.84/1.22 , clause( 1169, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 0.84/1.22 Y ), identity ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1175, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.84/1.22 Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.84/1.22 ), Z ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1180, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.84/1.22 , identity ) ) ] )
% 0.84/1.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , 0, clause( 1175, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.84/1.22 multiply( Y, Z ) ) ) ] )
% 0.84/1.22 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.84/1.22 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.84/1.22 identity ) ) ] )
% 0.84/1.22 , clause( 1180, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.84/1.22 X, identity ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1185, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.84/1.22 Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.84/1.22 ), Z ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1190, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.22 , 0, clause( 1185, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.84/1.22 multiply( Y, Z ) ) ) ] )
% 0.84/1.22 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.84/1.22 :=( Y, identity ), :=( Z, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.84/1.22 ] )
% 0.84/1.22 , clause( 1190, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1195, [ ~( =( b, 'greatest_lower_bound'( a, b ) ) ) ] )
% 0.84/1.22 , clause( 16, [ ~( =( 'greatest_lower_bound'( a, b ), b ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1196, [ ~( =( b, 'greatest_lower_bound'( b, a ) ) ) ] )
% 0.84/1.22 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.84/1.22 , X ) ) ] )
% 0.84/1.22 , 0, clause( 1195, [ ~( =( b, 'greatest_lower_bound'( a, b ) ) ) ] )
% 0.84/1.22 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.84/1.22 ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1199, [ ~( =( 'greatest_lower_bound'( b, a ), b ) ) ] )
% 0.84/1.22 , clause( 1196, [ ~( =( b, 'greatest_lower_bound'( b, a ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 20, [ ~( =( 'greatest_lower_bound'( b, a ), b ) ) ] )
% 0.84/1.22 , clause( 1199, [ ~( =( 'greatest_lower_bound'( b, a ), b ) ) ] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1200, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.84/1.22 ) ) ) ] )
% 0.84/1.22 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.84/1.22 , X ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1201, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 0.84/1.22 ) ) ) ] )
% 0.84/1.22 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.84/1.22 ) ] )
% 0.84/1.22 , 0, clause( 1200, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.84/1.22 X, Y ) ) ) ] )
% 0.84/1.22 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.84/1.22 :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1204, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 0.84/1.22 , X ) ] )
% 0.84/1.22 , clause( 1201, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y,
% 0.84/1.22 X ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 22, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 0.84/1.22 X ) ] )
% 0.84/1.22 , clause( 1204, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 0.84/1.22 ), X ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1205, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 0.84/1.22 ) ) ) ] )
% 0.84/1.22 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.84/1.22 , X ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1206, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.84/1.22 ) ) ) ] )
% 0.84/1.22 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.84/1.22 , X ) ) ] )
% 0.84/1.22 , 0, clause( 1205, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.84/1.22 X, Y ) ) ) ] )
% 0.84/1.22 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.84/1.22 :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1209, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.84/1.22 , X ) ] )
% 0.84/1.22 , clause( 1206, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 0.84/1.22 X ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 38, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.84/1.22 X ) ] )
% 0.84/1.22 , clause( 1209, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 0.84/1.22 ), X ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1211, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.84/1.22 ) ) ) ] )
% 0.84/1.22 , clause( 38, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.84/1.22 , X ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1212, [ =( inverse( b ), 'least_upper_bound'( inverse( b ), inverse(
% 0.84/1.22 a ) ) ) ] )
% 0.84/1.22 , clause( 15, [ =( 'greatest_lower_bound'( inverse( a ), inverse( b ) ),
% 0.84/1.22 inverse( a ) ) ] )
% 0.84/1.22 , 0, clause( 1211, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.84/1.22 Y, X ) ) ) ] )
% 0.84/1.22 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 0.84/1.22 :=( Y, inverse( a ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1213, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ),
% 0.84/1.22 inverse( b ) ) ] )
% 0.84/1.22 , clause( 1212, [ =( inverse( b ), 'least_upper_bound'( inverse( b ),
% 0.84/1.22 inverse( a ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 57, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ), inverse(
% 0.84/1.22 b ) ) ] )
% 0.84/1.22 , clause( 1213, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ),
% 0.84/1.22 inverse( b ) ) ] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1215, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.84/1.22 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.84/1.22 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1217, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 0.84/1.22 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.84/1.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , 0, clause( 1215, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.84/1.22 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.84/1.22 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1220, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 0.84/1.22 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.84/1.22 , clause( 1217, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 0.84/1.22 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 64, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 0.84/1.22 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.84/1.22 , clause( 1220, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 0.84/1.22 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1223, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.84/1.22 ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1226, [ =( multiply( inverse( identity ), X ), multiply( identity,
% 0.84/1.22 X ) ) ] )
% 0.84/1.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , 0, clause( 1223, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.84/1.22 , Y ) ) ] )
% 0.84/1.22 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.84/1.22 inverse( identity ) ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1227, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.84/1.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.22 , 0, clause( 1226, [ =( multiply( inverse( identity ), X ), multiply(
% 0.84/1.22 identity, X ) ) ] )
% 0.84/1.22 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.84/1.22 ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 82, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.84/1.22 , clause( 1227, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1229, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.84/1.22 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.84/1.22 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1231, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.84/1.22 ) ] )
% 0.84/1.22 , 0, clause( 1229, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.84/1.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.84/1.22 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1233, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 0.84/1.22 'least_upper_bound'( Y, X ), Z ) ) ] )
% 0.84/1.22 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.84/1.22 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.22 , 0, clause( 1231, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.84/1.22 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.84/1.22 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 86, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 0.84/1.22 'least_upper_bound'( Z, X ), Y ) ) ] )
% 0.84/1.22 , clause( 1233, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 0.84/1.22 'least_upper_bound'( Y, X ), Z ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.84/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1235, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.84/1.22 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.84/1.22 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1237, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 0.84/1.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , 0, clause( 1235, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.84/1.22 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.84/1.22 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.84/1.22 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 88, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 0.84/1.22 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 0.84/1.22 , clause( 1237, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y )
% 0.84/1.22 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1241, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.84/1.22 Y, Z ) ) ) ] )
% 0.84/1.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.84/1.22 ), Z ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1246, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 0.84/1.22 multiply( X, Y ) ) ] )
% 0.84/1.22 , clause( 82, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.84/1.22 , 0, clause( 1241, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.84/1.22 multiply( Y, Z ) ) ) ] )
% 0.84/1.22 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.84/1.22 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 93, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.84/1.22 multiply( Y, X ) ) ] )
% 0.84/1.22 , clause( 1246, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 0.84/1.22 multiply( X, Y ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1252, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 0.84/1.22 identity ) ), Y ) ) ] )
% 0.84/1.22 , clause( 93, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.84/1.22 multiply( Y, X ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1255, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 0.84/1.22 identity, X ) ) ] )
% 0.84/1.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , 0, clause( 1252, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 0.84/1.22 identity ) ), Y ) ) ] )
% 0.84/1.22 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.84/1.22 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1256, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.84/1.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.22 , 0, clause( 1255, [ =( multiply( inverse( inverse( identity ) ), X ),
% 0.84/1.22 multiply( identity, X ) ) ] )
% 0.84/1.22 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.84/1.22 ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 171, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.84/1.22 , clause( 1256, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 0.84/1.22 )
% 0.84/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1258, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 0.84/1.22 , clause( 171, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1260, [ =( inverse( identity ), identity ) ] )
% 0.84/1.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , 0, clause( 1258, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 0.84/1.22 ] )
% 0.84/1.22 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.84/1.22 , [ :=( X, inverse( identity ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 178, [ =( inverse( identity ), identity ) ] )
% 0.84/1.22 , clause( 1260, [ =( inverse( identity ), identity ) ] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1263, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.84/1.22 Y ) ), Y ) ) ] )
% 0.84/1.22 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.84/1.22 , identity ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1266, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.84/1.22 identity, X ) ) ] )
% 0.84/1.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , 0, clause( 1263, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.84/1.22 inverse( Y ) ), Y ) ) ] )
% 0.84/1.22 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.84/1.22 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1267, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.84/1.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.22 , 0, clause( 1266, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.84/1.22 multiply( identity, X ) ) ] )
% 0.84/1.22 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.84/1.22 ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.84/1.22 , clause( 1267, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 0.84/1.22 )
% 0.84/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1270, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.84/1.22 ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1273, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.84/1.22 , 0, clause( 1270, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.84/1.22 , Y ) ) ] )
% 0.84/1.22 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.84/1.22 inverse( X ) ) ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 1273, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1279, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1282, [ =( multiply( X, identity ), X ) ] )
% 0.84/1.22 , clause( 181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.84/1.22 , 0, clause( 1279, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.84/1.22 , Y ) ) ] )
% 0.84/1.22 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.84/1.22 :=( Y, identity )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.84/1.22 , clause( 1282, [ =( multiply( X, identity ), X ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1287, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1290, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.84/1.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.22 , 0, clause( 1287, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.84/1.22 , Y ) ) ] )
% 0.84/1.22 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.84/1.22 :=( X, X ), :=( Y, inverse( X ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 198, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.84/1.22 , clause( 1290, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1293, [ =( X, multiply( X, identity ) ) ] )
% 0.84/1.22 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1296, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.84/1.22 , clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, clause( 1293, [ =( X, multiply( X, identity ) ) ] )
% 0.84/1.22 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.84/1.22 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1297, [ =( inverse( inverse( X ) ), X ) ] )
% 0.84/1.22 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.84/1.22 , 0, clause( 1296, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 0.84/1.22 ] )
% 0.84/1.22 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.84/1.22 ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 199, [ =( inverse( inverse( X ) ), X ) ] )
% 0.84/1.22 , clause( 1297, [ =( inverse( inverse( X ) ), X ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1300, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.84/1.22 Y ) ), Y ) ) ] )
% 0.84/1.22 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.84/1.22 , identity ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1302, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 0.84/1.22 inverse( Y ) ) ) ] )
% 0.84/1.22 , clause( 199, [ =( inverse( inverse( X ) ), X ) ] )
% 0.84/1.22 , 0, clause( 1300, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.84/1.22 inverse( Y ) ), Y ) ) ] )
% 0.84/1.22 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.84/1.22 :=( Y, inverse( Y ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1303, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.84/1.22 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.84/1.22 , 0, clause( 1302, [ =( multiply( X, identity ), multiply( multiply( X, Y )
% 0.84/1.22 , inverse( Y ) ) ) ] )
% 0.84/1.22 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.84/1.22 :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1304, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.84/1.22 , clause( 1303, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 200, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.84/1.22 , clause( 1304, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1306, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.84/1.22 , clause( 200, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1311, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 0.84/1.22 identity, inverse( Y ) ) ) ] )
% 0.84/1.22 , clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.84/1.22 ), identity ) ] )
% 0.84/1.22 , 0, clause( 1306, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 0.84/1.22 )
% 0.84/1.22 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.84/1.22 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1312, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.22 , 0, clause( 1311, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 0.84/1.22 multiply( identity, inverse( Y ) ) ) ] )
% 0.84/1.22 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.84/1.22 :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 1312, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1314, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1318, [ =( inverse( X ), multiply( inverse( inverse( Y ) ), inverse(
% 0.84/1.22 multiply( X, Y ) ) ) ) ] )
% 0.84/1.22 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, clause( 1314, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) )
% 0.84/1.22 , X ) ) ] )
% 0.84/1.22 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.84/1.22 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1319, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) ) )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, clause( 1318, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 0.84/1.22 inverse( multiply( X, Y ) ) ) ) ] )
% 0.84/1.22 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 0.84/1.22 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1320, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 1319, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 1320, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1322, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.84/1.22 , clause( 200, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1325, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.84/1.22 inverse( X ) ) ) ] )
% 0.84/1.22 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, clause( 1322, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 0.84/1.22 )
% 0.84/1.22 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.84/1.22 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1326, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.84/1.22 multiply( X, Y ) ) ) ] )
% 0.84/1.22 , clause( 1325, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.84/1.22 inverse( X ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 218, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.84/1.22 X, Y ) ) ) ] )
% 0.84/1.22 , clause( 1326, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.84/1.22 multiply( X, Y ) ) ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1327, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.84/1.22 , clause( 198, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1328, [ =( identity, multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.84/1.22 'least_upper_bound'( X, Y ) ) ) ) ] )
% 0.84/1.22 , clause( 86, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 0.84/1.22 'least_upper_bound'( Z, X ), Y ) ) ] )
% 0.84/1.22 , 0, clause( 1327, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.84/1.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 0.84/1.22 X, Y ) ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, 'least_upper_bound'(
% 0.84/1.22 X, Y ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1331, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 0.84/1.22 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 0.84/1.22 , clause( 1328, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 0.84/1.22 inverse( 'least_upper_bound'( X, Y ) ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 639, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.84/1.22 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 0.84/1.22 , clause( 1331, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 0.84/1.22 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 0.84/1.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.22 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1333, [ =( identity, multiply( 'least_upper_bound'( X, Y ), inverse(
% 0.84/1.22 'least_upper_bound'( Y, X ) ) ) ) ] )
% 0.84/1.22 , clause( 639, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.84/1.22 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1336, [ =( identity, multiply( inverse( b ), inverse(
% 0.84/1.22 'least_upper_bound'( inverse( a ), inverse( b ) ) ) ) ) ] )
% 0.84/1.22 , clause( 57, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ),
% 0.84/1.22 inverse( b ) ) ] )
% 0.84/1.22 , 0, clause( 1333, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 0.84/1.22 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 0.84/1.22 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 0.84/1.22 :=( Y, inverse( a ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1338, [ =( identity, inverse( multiply( 'least_upper_bound'(
% 0.84/1.22 inverse( a ), inverse( b ) ), b ) ) ) ] )
% 0.84/1.22 , clause( 218, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.84/1.22 multiply( X, Y ) ) ) ] )
% 0.84/1.22 , 0, clause( 1336, [ =( identity, multiply( inverse( b ), inverse(
% 0.84/1.22 'least_upper_bound'( inverse( a ), inverse( b ) ) ) ) ) ] )
% 0.84/1.22 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( a ),
% 0.84/1.22 inverse( b ) ) ), :=( Y, b )] ), substitution( 1, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1339, [ =( identity, inverse( 'least_upper_bound'( multiply(
% 0.84/1.22 inverse( a ), b ), identity ) ) ) ] )
% 0.84/1.22 , clause( 88, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 0.84/1.22 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 0.84/1.22 , 0, clause( 1338, [ =( identity, inverse( multiply( 'least_upper_bound'(
% 0.84/1.22 inverse( a ), inverse( b ) ), b ) ) ) ] )
% 0.84/1.22 , 0, 3, substitution( 0, [ :=( X, b ), :=( Y, inverse( a ) )] ),
% 0.84/1.22 substitution( 1, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1340, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ), b
% 0.84/1.22 ), identity ) ), identity ) ] )
% 0.84/1.22 , clause( 1339, [ =( identity, inverse( 'least_upper_bound'( multiply(
% 0.84/1.22 inverse( a ), b ), identity ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 686, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ), b )
% 0.84/1.22 , identity ) ), identity ) ] )
% 0.84/1.22 , clause( 1340, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ),
% 0.84/1.22 b ), identity ) ), identity ) ] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1342, [ =( identity, multiply( 'least_upper_bound'( X, Y ), inverse(
% 0.84/1.22 'least_upper_bound'( Y, X ) ) ) ) ] )
% 0.84/1.22 , clause( 639, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.84/1.22 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1344, [ =( identity, multiply( 'least_upper_bound'( identity,
% 0.84/1.22 multiply( inverse( a ), b ) ), identity ) ) ] )
% 0.84/1.22 , clause( 686, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ), b
% 0.84/1.22 ), identity ) ), identity ) ] )
% 0.84/1.22 , 0, clause( 1342, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 0.84/1.22 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 0.84/1.22 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.84/1.22 , multiply( inverse( a ), b ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1345, [ =( identity, 'least_upper_bound'( identity, multiply(
% 0.84/1.22 inverse( a ), b ) ) ) ] )
% 0.84/1.22 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.84/1.22 , 0, clause( 1344, [ =( identity, multiply( 'least_upper_bound'( identity,
% 0.84/1.22 multiply( inverse( a ), b ) ), identity ) ) ] )
% 0.84/1.22 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( identity, multiply(
% 0.84/1.22 inverse( a ), b ) ) )] ), substitution( 1, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1346, [ =( 'least_upper_bound'( identity, multiply( inverse( a ), b
% 0.84/1.22 ) ), identity ) ] )
% 0.84/1.22 , clause( 1345, [ =( identity, 'least_upper_bound'( identity, multiply(
% 0.84/1.22 inverse( a ), b ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 689, [ =( 'least_upper_bound'( identity, multiply( inverse( a ), b
% 0.84/1.22 ) ), identity ) ] )
% 0.84/1.22 , clause( 1346, [ =( 'least_upper_bound'( identity, multiply( inverse( a )
% 0.84/1.22 , b ) ), identity ) ] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1347, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 0.84/1.22 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.84/1.22 , clause( 64, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 0.84/1.22 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1350, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) ),
% 0.84/1.22 identity ) ] )
% 0.84/1.22 , clause( 689, [ =( 'least_upper_bound'( identity, multiply( inverse( a ),
% 0.84/1.22 b ) ), identity ) ] )
% 0.84/1.22 , 0, clause( 1347, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y )
% 0.84/1.22 ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.84/1.22 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.84/1.22 ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 1015, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) ),
% 0.84/1.22 identity ) ] )
% 0.84/1.22 , clause( 1350, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) )
% 0.84/1.22 , identity ) ] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1354, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) ) )
% 0.84/1.22 ) ] )
% 0.84/1.22 , clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1358, [ =( inverse( inverse( a ) ), multiply( 'least_upper_bound'(
% 0.84/1.22 a, b ), inverse( identity ) ) ) ] )
% 0.84/1.22 , clause( 1015, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) )
% 0.84/1.22 , identity ) ] )
% 0.84/1.22 , 0, clause( 1354, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 0.84/1.22 ) ) ) ) ] )
% 0.84/1.22 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.84/1.22 'least_upper_bound'( a, b ) ), :=( Y, inverse( a ) )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1359, [ =( inverse( inverse( a ) ), multiply( 'least_upper_bound'(
% 0.84/1.22 a, b ), identity ) ) ] )
% 0.84/1.22 , clause( 178, [ =( inverse( identity ), identity ) ] )
% 0.84/1.22 , 0, clause( 1358, [ =( inverse( inverse( a ) ), multiply(
% 0.84/1.22 'least_upper_bound'( a, b ), inverse( identity ) ) ) ] )
% 0.84/1.22 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1360, [ =( inverse( inverse( a ) ), 'least_upper_bound'( a, b ) ) ]
% 0.84/1.22 )
% 0.84/1.22 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.84/1.22 , 0, clause( 1359, [ =( inverse( inverse( a ) ), multiply(
% 0.84/1.22 'least_upper_bound'( a, b ), identity ) ) ] )
% 0.84/1.22 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( a, b ) )] ),
% 0.84/1.22 substitution( 1, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1361, [ =( a, 'least_upper_bound'( a, b ) ) ] )
% 0.84/1.22 , clause( 199, [ =( inverse( inverse( X ) ), X ) ] )
% 0.84/1.22 , 0, clause( 1360, [ =( inverse( inverse( a ) ), 'least_upper_bound'( a, b
% 0.84/1.22 ) ) ] )
% 0.84/1.22 , 0, 1, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1362, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.84/1.22 , clause( 1361, [ =( a, 'least_upper_bound'( a, b ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 1049, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.84/1.22 , clause( 1362, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1364, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 0.84/1.22 ) ) ) ] )
% 0.84/1.22 , clause( 22, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 0.84/1.22 , X ) ] )
% 0.84/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 eqswap(
% 0.84/1.22 clause( 1365, [ ~( =( b, 'greatest_lower_bound'( b, a ) ) ) ] )
% 0.84/1.22 , clause( 20, [ ~( =( 'greatest_lower_bound'( b, a ), b ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 paramod(
% 0.84/1.22 clause( 1366, [ =( b, 'greatest_lower_bound'( b, a ) ) ] )
% 0.84/1.22 , clause( 1049, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.84/1.22 , 0, clause( 1364, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.84/1.22 Y, X ) ) ) ] )
% 0.84/1.22 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 0.84/1.22 ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 resolution(
% 0.84/1.22 clause( 1367, [] )
% 0.84/1.22 , clause( 1365, [ ~( =( b, 'greatest_lower_bound'( b, a ) ) ) ] )
% 0.84/1.22 , 0, clause( 1366, [ =( b, 'greatest_lower_bound'( b, a ) ) ] )
% 0.84/1.22 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 subsumption(
% 0.84/1.22 clause( 1067, [] )
% 0.84/1.22 , clause( 1367, [] )
% 0.84/1.22 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 end.
% 0.84/1.22
% 0.84/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.22
% 0.84/1.22 Memory use:
% 0.84/1.22
% 0.84/1.22 space for terms: 14214
% 0.84/1.22 space for clauses: 118773
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 clauses generated: 14047
% 0.84/1.22 clauses kept: 1068
% 0.84/1.22 clauses selected: 176
% 0.84/1.22 clauses deleted: 17
% 0.84/1.22 clauses inuse deleted: 10
% 0.84/1.22
% 0.84/1.22 subsentry: 3327
% 0.84/1.22 literals s-matched: 2684
% 0.84/1.22 literals matched: 2656
% 0.84/1.22 full subsumption: 0
% 0.84/1.22
% 0.84/1.22 checksum: 205810764
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 Bliksem ended
%------------------------------------------------------------------------------