TSTP Solution File: GRP169-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP169-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 07:35:43 EDT 2022
% Result : Unsatisfiable 0.70s 1.10s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP169-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 15:52:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10 [
% 0.70/1.10 [ =( multiply( identity, X ), X ) ],
% 0.70/1.10 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.70/1.10 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.70/1.10 ],
% 0.70/1.10 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.70/1.10 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.70/1.10 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.70/1.10 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.70/1.10 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.70/1.10 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.70/1.10 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.70/1.10 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.70/1.10 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.70/1.10 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.70/1.10 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.70/1.10 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.70/1.10 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.70/1.10 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.70/1.10 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.70/1.10 [ =( 'least_upper_bound'( inverse( a ), inverse( b ) ), inverse( b ) ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( =( 'least_upper_bound'( a, b ), a ) ) ]
% 0.70/1.10 ] .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.10 This is a pure equality problem
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Options Used:
% 0.70/1.10
% 0.70/1.10 useres = 1
% 0.70/1.10 useparamod = 1
% 0.70/1.10 useeqrefl = 1
% 0.70/1.10 useeqfact = 1
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 5
% 0.70/1.10 usesimpres = 3
% 0.70/1.10
% 0.70/1.10 resimpinuse = 1000
% 0.70/1.10 resimpclauses = 20000
% 0.70/1.10 substype = eqrewr
% 0.70/1.10 backwardsubs = 1
% 0.70/1.10 selectoldest = 5
% 0.70/1.10
% 0.70/1.10 litorderings [0] = split
% 0.70/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.10
% 0.70/1.10 termordering = kbo
% 0.70/1.10
% 0.70/1.10 litapriori = 0
% 0.70/1.10 termapriori = 1
% 0.70/1.10 litaposteriori = 0
% 0.70/1.10 termaposteriori = 0
% 0.70/1.10 demodaposteriori = 0
% 0.70/1.10 ordereqreflfact = 0
% 0.70/1.10
% 0.70/1.10 litselect = negord
% 0.70/1.10
% 0.70/1.10 maxweight = 15
% 0.70/1.10 maxdepth = 30000
% 0.70/1.10 maxlength = 115
% 0.70/1.10 maxnrvars = 195
% 0.70/1.10 excuselevel = 1
% 0.70/1.10 increasemaxweight = 1
% 0.70/1.10
% 0.70/1.10 maxselected = 10000000
% 0.70/1.10 maxnrclauses = 10000000
% 0.70/1.10
% 0.70/1.10 showgenerated = 0
% 0.70/1.10 showkept = 0
% 0.70/1.10 showselected = 0
% 0.70/1.10 showdeleted = 0
% 0.70/1.10 showresimp = 1
% 0.70/1.10 showstatus = 2000
% 0.70/1.10
% 0.70/1.10 prologoutput = 1
% 0.70/1.10 nrgoals = 5000000
% 0.70/1.10 totalproof = 1
% 0.70/1.10
% 0.70/1.10 Symbols occurring in the translation:
% 0.70/1.10
% 0.70/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.10 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.10 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.70/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.10 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.10 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.10 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.10 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.10 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.10 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Starting Search:
% 0.70/1.10
% 0.70/1.10 Resimplifying inuse:
% 0.70/1.10 Done
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksems!, er is een bewijs:
% 0.70/1.10 % SZS status Unsatisfiable
% 0.70/1.10 % SZS output start Refutation
% 0.70/1.10
% 0.70/1.10 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.70/1.10 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.70/1.10 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 15, [ =( 'least_upper_bound'( inverse( a ), inverse( b ) ), inverse(
% 0.70/1.10 b ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 16, [ ~( =( 'least_upper_bound'( a, b ), a ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.70/1.10 , identity ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.70/1.10 identity ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 59, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ), inverse(
% 0.70/1.10 b ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 64, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 0.70/1.10 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 82, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 86, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 0.70/1.10 'least_upper_bound'( Z, X ), Y ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 88, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 0.70/1.10 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 93, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.70/1.10 multiply( Y, X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 171, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 178, [ =( inverse( identity ), identity ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 198, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 199, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 200, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.70/1.10 ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 218, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.70/1.10 X, Y ) ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 639, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.70/1.10 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 686, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ), b )
% 0.70/1.10 , identity ) ), identity ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 689, [ =( 'least_upper_bound'( identity, multiply( inverse( a ), b
% 0.70/1.10 ) ), identity ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 1017, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) ),
% 0.70/1.10 identity ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 1051, [] )
% 0.70/1.10 .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 % SZS output end Refutation
% 0.70/1.10 found a proof!
% 0.70/1.10
% 0.70/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10
% 0.70/1.10 initialclauses(
% 0.70/1.10 [ clause( 1053, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.10 , clause( 1054, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , clause( 1055, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.70/1.10 Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 1056, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.70/1.10 Y, X ) ) ] )
% 0.70/1.10 , clause( 1057, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , clause( 1058, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.70/1.10 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.70/1.10 , clause( 1059, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.70/1.10 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.70/1.10 , clause( 1060, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.70/1.10 , clause( 1061, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.70/1.10 , clause( 1062, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.70/1.10 ), X ) ] )
% 0.70/1.10 , clause( 1063, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.70/1.10 ), X ) ] )
% 0.70/1.10 , clause( 1064, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.70/1.10 , clause( 1065, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.70/1.10 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.70/1.10 , clause( 1066, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 1067, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.70/1.10 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 1068, [ =( 'least_upper_bound'( inverse( a ), inverse( b ) ),
% 0.70/1.10 inverse( b ) ) ] )
% 0.70/1.10 , clause( 1069, [ ~( =( 'least_upper_bound'( a, b ), a ) ) ] )
% 0.70/1.10 ] ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.10 , clause( 1053, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , clause( 1054, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1075, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.70/1.10 Y ), Z ) ) ] )
% 0.70/1.10 , clause( 1055, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.70/1.10 Y, Z ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 , clause( 1075, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.70/1.10 , Y ), Z ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.70/1.10 ] )
% 0.70/1.10 , clause( 1057, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1088, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.70/1.10 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 1064, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.70/1.10 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 1088, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 0.70/1.10 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1100, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.70/1.10 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.70/1.10 , clause( 1066, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.70/1.10 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.70/1.10 , clause( 1100, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 0.70/1.10 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 15, [ =( 'least_upper_bound'( inverse( a ), inverse( b ) ), inverse(
% 0.70/1.10 b ) ) ] )
% 0.70/1.10 , clause( 1068, [ =( 'least_upper_bound'( inverse( a ), inverse( b ) ),
% 0.70/1.10 inverse( b ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 16, [ ~( =( 'least_upper_bound'( a, b ), a ) ) ] )
% 0.70/1.10 , clause( 1069, [ ~( =( 'least_upper_bound'( a, b ), a ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1130, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.70/1.10 Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.70/1.10 ), Z ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1133, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.70/1.10 ), identity ) ] )
% 0.70/1.10 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , 0, clause( 1130, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.70/1.10 multiply( Y, Z ) ) ) ] )
% 0.70/1.10 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.70/1.10 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.70/1.10 , identity ) ] )
% 0.70/1.10 , clause( 1133, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 0.70/1.10 Y ), identity ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1139, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.70/1.10 Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.70/1.10 ), Z ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1144, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.70/1.10 , identity ) ) ] )
% 0.70/1.10 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , 0, clause( 1139, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.70/1.10 multiply( Y, Z ) ) ) ] )
% 0.70/1.10 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.10 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.70/1.10 identity ) ) ] )
% 0.70/1.10 , clause( 1144, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.70/1.10 X, identity ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1149, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.70/1.10 Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.70/1.10 ), Z ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1154, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.10 , 0, clause( 1149, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.70/1.10 multiply( Y, Z ) ) ) ] )
% 0.70/1.10 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.10 :=( Y, identity ), :=( Z, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.70/1.10 ] )
% 0.70/1.10 , clause( 1154, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1159, [ =( inverse( b ), 'least_upper_bound'( inverse( a ), inverse(
% 0.70/1.10 b ) ) ) ] )
% 0.70/1.10 , clause( 15, [ =( 'least_upper_bound'( inverse( a ), inverse( b ) ),
% 0.70/1.10 inverse( b ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1160, [ =( inverse( b ), 'least_upper_bound'( inverse( b ), inverse(
% 0.70/1.10 a ) ) ) ] )
% 0.70/1.10 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.70/1.10 ) ] )
% 0.70/1.10 , 0, clause( 1159, [ =( inverse( b ), 'least_upper_bound'( inverse( a ),
% 0.70/1.10 inverse( b ) ) ) ] )
% 0.70/1.10 , 0, 3, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, inverse( b ) )] )
% 0.70/1.10 , substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1163, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ),
% 0.70/1.10 inverse( b ) ) ] )
% 0.70/1.10 , clause( 1160, [ =( inverse( b ), 'least_upper_bound'( inverse( b ),
% 0.70/1.10 inverse( a ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 59, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ), inverse(
% 0.70/1.10 b ) ) ] )
% 0.70/1.10 , clause( 1163, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ),
% 0.70/1.10 inverse( b ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1165, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.70/1.10 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.70/1.10 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1167, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 0.70/1.10 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.70/1.10 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , 0, clause( 1165, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.70/1.10 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.70/1.10 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1170, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 0.70/1.10 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.70/1.10 , clause( 1167, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 0.70/1.10 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 64, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 0.70/1.10 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.70/1.10 , clause( 1170, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 0.70/1.10 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1173, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.70/1.10 ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1176, [ =( multiply( inverse( identity ), X ), multiply( identity,
% 0.70/1.10 X ) ) ] )
% 0.70/1.10 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , 0, clause( 1173, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.70/1.10 , Y ) ) ] )
% 0.70/1.10 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.70/1.10 inverse( identity ) ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1177, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.70/1.10 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.10 , 0, clause( 1176, [ =( multiply( inverse( identity ), X ), multiply(
% 0.70/1.10 identity, X ) ) ] )
% 0.70/1.10 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 82, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.70/1.10 , clause( 1177, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1179, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.70/1.10 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.70/1.10 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1181, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.70/1.10 ) ] )
% 0.70/1.10 , 0, clause( 1179, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.70/1.10 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.10 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1183, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 0.70/1.10 'least_upper_bound'( Y, X ), Z ) ) ] )
% 0.70/1.10 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.70/1.10 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.70/1.10 , 0, clause( 1181, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.70/1.10 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.70/1.10 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 86, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 0.70/1.10 'least_upper_bound'( Z, X ), Y ) ) ] )
% 0.70/1.10 , clause( 1183, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 0.70/1.10 'least_upper_bound'( Y, X ), Z ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1185, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.70/1.10 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.70/1.10 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1187, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 0.70/1.10 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , 0, clause( 1185, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.70/1.10 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.70/1.10 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.10 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 88, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 0.70/1.10 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 0.70/1.10 , clause( 1187, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y )
% 0.70/1.10 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1191, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.70/1.10 Y, Z ) ) ) ] )
% 0.70/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.70/1.10 ), Z ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1196, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 0.70/1.10 multiply( X, Y ) ) ] )
% 0.70/1.10 , clause( 82, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.70/1.10 , 0, clause( 1191, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.70/1.10 multiply( Y, Z ) ) ) ] )
% 0.70/1.10 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.10 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 93, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.70/1.10 multiply( Y, X ) ) ] )
% 0.70/1.10 , clause( 1196, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 0.70/1.10 multiply( X, Y ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1202, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 0.70/1.10 identity ) ), Y ) ) ] )
% 0.70/1.10 , clause( 93, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 0.70/1.10 multiply( Y, X ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1205, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 0.70/1.10 identity, X ) ) ] )
% 0.70/1.10 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , 0, clause( 1202, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 0.70/1.10 identity ) ), Y ) ) ] )
% 0.70/1.10 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.70/1.10 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1206, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.70/1.10 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.10 , 0, clause( 1205, [ =( multiply( inverse( inverse( identity ) ), X ),
% 0.70/1.10 multiply( identity, X ) ) ] )
% 0.70/1.10 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 171, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.70/1.10 , clause( 1206, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 0.70/1.10 )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1208, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 0.70/1.10 , clause( 171, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1210, [ =( inverse( identity ), identity ) ] )
% 0.70/1.10 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , 0, clause( 1208, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 0.70/1.10 ] )
% 0.70/1.10 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.70/1.10 , [ :=( X, inverse( identity ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 178, [ =( inverse( identity ), identity ) ] )
% 0.70/1.10 , clause( 1210, [ =( inverse( identity ), identity ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1213, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.70/1.10 Y ) ), Y ) ) ] )
% 0.70/1.10 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.70/1.10 , identity ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1216, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.70/1.10 identity, X ) ) ] )
% 0.70/1.10 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , 0, clause( 1213, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.70/1.10 inverse( Y ) ), Y ) ) ] )
% 0.70/1.10 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.70/1.10 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1217, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.70/1.10 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.10 , 0, clause( 1216, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.70/1.10 multiply( identity, X ) ) ] )
% 0.70/1.10 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.70/1.10 , clause( 1217, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 0.70/1.10 )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1220, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.70/1.10 ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1223, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.70/1.10 , 0, clause( 1220, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.70/1.10 , Y ) ) ] )
% 0.70/1.10 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.70/1.10 inverse( X ) ) ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 1223, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1229, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1232, [ =( multiply( X, identity ), X ) ] )
% 0.70/1.10 , clause( 181, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.70/1.10 , 0, clause( 1229, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.70/1.10 , Y ) ) ] )
% 0.70/1.10 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.10 :=( Y, identity )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.70/1.10 , clause( 1232, [ =( multiply( X, identity ), X ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1237, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.70/1.10 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.10 , 0, clause( 1237, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.70/1.10 , Y ) ) ] )
% 0.70/1.10 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.70/1.10 :=( X, X ), :=( Y, inverse( X ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 198, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.70/1.10 , clause( 1240, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1243, [ =( X, multiply( X, identity ) ) ] )
% 0.70/1.10 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1246, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.70/1.10 , clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, clause( 1243, [ =( X, multiply( X, identity ) ) ] )
% 0.70/1.10 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.70/1.10 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1247, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.10 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.70/1.10 , 0, clause( 1246, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 0.70/1.10 ] )
% 0.70/1.10 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 199, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.10 , clause( 1247, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1250, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.70/1.10 Y ) ), Y ) ) ] )
% 0.70/1.10 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.70/1.10 , identity ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1252, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 0.70/1.10 inverse( Y ) ) ) ] )
% 0.70/1.10 , clause( 199, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.10 , 0, clause( 1250, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.70/1.10 inverse( Y ) ), Y ) ) ] )
% 0.70/1.10 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.10 :=( Y, inverse( Y ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1253, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.70/1.10 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.70/1.10 , 0, clause( 1252, [ =( multiply( X, identity ), multiply( multiply( X, Y )
% 0.70/1.10 , inverse( Y ) ) ) ] )
% 0.70/1.10 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.10 :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1254, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.70/1.10 , clause( 1253, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 200, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.70/1.10 , clause( 1254, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1256, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.70/1.10 , clause( 200, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1261, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 0.70/1.10 identity, inverse( Y ) ) ) ] )
% 0.70/1.10 , clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.70/1.10 ), identity ) ] )
% 0.70/1.10 , 0, clause( 1256, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 0.70/1.10 )
% 0.70/1.10 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.10 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1262, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.10 , 0, clause( 1261, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 0.70/1.10 multiply( identity, inverse( Y ) ) ) ] )
% 0.70/1.10 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.70/1.10 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 1262, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1264, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1268, [ =( inverse( X ), multiply( inverse( inverse( Y ) ), inverse(
% 0.70/1.10 multiply( X, Y ) ) ) ) ] )
% 0.70/1.10 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, clause( 1264, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) )
% 0.70/1.10 , X ) ) ] )
% 0.70/1.10 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.10 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1269, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) ) )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 186, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, clause( 1268, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 0.70/1.10 inverse( multiply( X, Y ) ) ) ) ] )
% 0.70/1.10 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 0.70/1.10 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1270, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 1269, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 1270, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1272, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.70/1.10 , clause( 200, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1275, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.70/1.10 inverse( X ) ) ) ] )
% 0.70/1.10 , clause( 211, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, clause( 1272, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 0.70/1.10 )
% 0.70/1.10 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.10 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1276, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.70/1.10 multiply( X, Y ) ) ) ] )
% 0.70/1.10 , clause( 1275, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.70/1.10 inverse( X ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 218, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.70/1.10 X, Y ) ) ) ] )
% 0.70/1.10 , clause( 1276, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.70/1.10 multiply( X, Y ) ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1277, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.70/1.10 , clause( 198, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1278, [ =( identity, multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.70/1.10 'least_upper_bound'( X, Y ) ) ) ) ] )
% 0.70/1.10 , clause( 86, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 0.70/1.10 'least_upper_bound'( Z, X ), Y ) ) ] )
% 0.70/1.10 , 0, clause( 1277, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.70/1.10 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 0.70/1.10 X, Y ) ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, 'least_upper_bound'(
% 0.70/1.10 X, Y ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1281, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 0.70/1.10 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 0.70/1.10 , clause( 1278, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 0.70/1.10 inverse( 'least_upper_bound'( X, Y ) ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 639, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.70/1.10 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 0.70/1.10 , clause( 1281, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 0.70/1.10 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1283, [ =( identity, multiply( 'least_upper_bound'( X, Y ), inverse(
% 0.70/1.10 'least_upper_bound'( Y, X ) ) ) ) ] )
% 0.70/1.10 , clause( 639, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.70/1.10 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1286, [ =( identity, multiply( inverse( b ), inverse(
% 0.70/1.10 'least_upper_bound'( inverse( a ), inverse( b ) ) ) ) ) ] )
% 0.70/1.10 , clause( 59, [ =( 'least_upper_bound'( inverse( b ), inverse( a ) ),
% 0.70/1.10 inverse( b ) ) ] )
% 0.70/1.10 , 0, clause( 1283, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 0.70/1.10 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 0.70/1.10 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 0.70/1.10 :=( Y, inverse( a ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1288, [ =( identity, inverse( multiply( 'least_upper_bound'(
% 0.70/1.10 inverse( a ), inverse( b ) ), b ) ) ) ] )
% 0.70/1.10 , clause( 218, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.70/1.10 multiply( X, Y ) ) ) ] )
% 0.70/1.10 , 0, clause( 1286, [ =( identity, multiply( inverse( b ), inverse(
% 0.70/1.10 'least_upper_bound'( inverse( a ), inverse( b ) ) ) ) ) ] )
% 0.70/1.10 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( a ),
% 0.70/1.10 inverse( b ) ) ), :=( Y, b )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1289, [ =( identity, inverse( 'least_upper_bound'( multiply(
% 0.70/1.10 inverse( a ), b ), identity ) ) ) ] )
% 0.70/1.10 , clause( 88, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 0.70/1.10 'least_upper_bound'( multiply( Y, X ), identity ) ) ] )
% 0.70/1.10 , 0, clause( 1288, [ =( identity, inverse( multiply( 'least_upper_bound'(
% 0.70/1.10 inverse( a ), inverse( b ) ), b ) ) ) ] )
% 0.70/1.10 , 0, 3, substitution( 0, [ :=( X, b ), :=( Y, inverse( a ) )] ),
% 0.70/1.10 substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1290, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ), b
% 0.70/1.10 ), identity ) ), identity ) ] )
% 0.70/1.10 , clause( 1289, [ =( identity, inverse( 'least_upper_bound'( multiply(
% 0.70/1.10 inverse( a ), b ), identity ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 686, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ), b )
% 0.70/1.10 , identity ) ), identity ) ] )
% 0.70/1.10 , clause( 1290, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ),
% 0.70/1.10 b ), identity ) ), identity ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1292, [ =( identity, multiply( 'least_upper_bound'( X, Y ), inverse(
% 0.70/1.10 'least_upper_bound'( Y, X ) ) ) ) ] )
% 0.70/1.10 , clause( 639, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 0.70/1.10 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1294, [ =( identity, multiply( 'least_upper_bound'( identity,
% 0.70/1.10 multiply( inverse( a ), b ) ), identity ) ) ] )
% 0.70/1.10 , clause( 686, [ =( inverse( 'least_upper_bound'( multiply( inverse( a ), b
% 0.70/1.10 ), identity ) ), identity ) ] )
% 0.70/1.10 , 0, clause( 1292, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 0.70/1.10 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 0.70/1.10 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.70/1.10 , multiply( inverse( a ), b ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1295, [ =( identity, 'least_upper_bound'( identity, multiply(
% 0.70/1.10 inverse( a ), b ) ) ) ] )
% 0.70/1.10 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.70/1.10 , 0, clause( 1294, [ =( identity, multiply( 'least_upper_bound'( identity,
% 0.70/1.10 multiply( inverse( a ), b ) ), identity ) ) ] )
% 0.70/1.10 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( identity, multiply(
% 0.70/1.10 inverse( a ), b ) ) )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1296, [ =( 'least_upper_bound'( identity, multiply( inverse( a ), b
% 0.70/1.10 ) ), identity ) ] )
% 0.70/1.10 , clause( 1295, [ =( identity, 'least_upper_bound'( identity, multiply(
% 0.70/1.10 inverse( a ), b ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 689, [ =( 'least_upper_bound'( identity, multiply( inverse( a ), b
% 0.70/1.10 ) ), identity ) ] )
% 0.70/1.10 , clause( 1296, [ =( 'least_upper_bound'( identity, multiply( inverse( a )
% 0.70/1.10 , b ) ), identity ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1297, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 0.70/1.10 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.70/1.10 , clause( 64, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 0.70/1.10 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1300, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) ),
% 0.70/1.10 identity ) ] )
% 0.70/1.10 , clause( 689, [ =( 'least_upper_bound'( identity, multiply( inverse( a ),
% 0.70/1.10 b ) ), identity ) ] )
% 0.70/1.10 , 0, clause( 1297, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y )
% 0.70/1.10 ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.70/1.10 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 1017, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) ),
% 0.70/1.10 identity ) ] )
% 0.70/1.10 , clause( 1300, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) )
% 0.70/1.10 , identity ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1304, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) ) )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 217, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 eqswap(
% 0.70/1.10 clause( 1308, [ ~( =( a, 'least_upper_bound'( a, b ) ) ) ] )
% 0.70/1.10 , clause( 16, [ ~( =( 'least_upper_bound'( a, b ), a ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1309, [ =( inverse( inverse( a ) ), multiply( 'least_upper_bound'(
% 0.70/1.10 a, b ), inverse( identity ) ) ) ] )
% 0.70/1.10 , clause( 1017, [ =( multiply( inverse( a ), 'least_upper_bound'( a, b ) )
% 0.70/1.10 , identity ) ] )
% 0.70/1.10 , 0, clause( 1304, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 0.70/1.10 ) ) ) ) ] )
% 0.70/1.10 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.70/1.10 'least_upper_bound'( a, b ) ), :=( Y, inverse( a ) )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1310, [ =( inverse( inverse( a ) ), multiply( 'least_upper_bound'(
% 0.70/1.10 a, b ), identity ) ) ] )
% 0.70/1.10 , clause( 178, [ =( inverse( identity ), identity ) ] )
% 0.70/1.10 , 0, clause( 1309, [ =( inverse( inverse( a ) ), multiply(
% 0.70/1.10 'least_upper_bound'( a, b ), inverse( identity ) ) ) ] )
% 0.70/1.10 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1311, [ =( inverse( inverse( a ) ), 'least_upper_bound'( a, b ) ) ]
% 0.70/1.10 )
% 0.70/1.10 , clause( 191, [ =( multiply( X, identity ), X ) ] )
% 0.70/1.10 , 0, clause( 1310, [ =( inverse( inverse( a ) ), multiply(
% 0.70/1.10 'least_upper_bound'( a, b ), identity ) ) ] )
% 0.70/1.10 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( a, b ) )] ),
% 0.70/1.10 substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 paramod(
% 0.70/1.10 clause( 1312, [ =( a, 'least_upper_bound'( a, b ) ) ] )
% 0.70/1.10 , clause( 199, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.10 , 0, clause( 1311, [ =( inverse( inverse( a ) ), 'least_upper_bound'( a, b
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , 0, 1, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 1313, [] )
% 0.70/1.10 , clause( 1308, [ ~( =( a, 'least_upper_bound'( a, b ) ) ) ] )
% 0.70/1.10 , 0, clause( 1312, [ =( a, 'least_upper_bound'( a, b ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 1051, [] )
% 0.70/1.10 , clause( 1313, [] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 end.
% 0.70/1.10
% 0.70/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10
% 0.70/1.10 Memory use:
% 0.70/1.10
% 0.70/1.10 space for terms: 14086
% 0.70/1.10 space for clauses: 117319
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 clauses generated: 13981
% 0.70/1.10 clauses kept: 1052
% 0.70/1.10 clauses selected: 175
% 0.70/1.10 clauses deleted: 17
% 0.70/1.10 clauses inuse deleted: 10
% 0.70/1.10
% 0.70/1.10 subsentry: 3136
% 0.70/1.10 literals s-matched: 2581
% 0.70/1.10 literals matched: 2561
% 0.70/1.10 full subsumption: 0
% 0.70/1.10
% 0.70/1.10 checksum: 1558271858
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksem ended
%------------------------------------------------------------------------------