TSTP Solution File: GRP584-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 07:37:45 EDT 2022
% Result : Unsatisfiable 0.51s 0.90s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.10 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Mon Jun 13 17:06:27 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.51/0.90 *** allocated 10000 integers for termspace/termends
% 0.51/0.90 *** allocated 10000 integers for clauses
% 0.51/0.90 *** allocated 10000 integers for justifications
% 0.51/0.90 Bliksem 1.12
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 Automatic Strategy Selection
% 0.51/0.90
% 0.51/0.90 Clauses:
% 0.51/0.90 [
% 0.51/0.90 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.90 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.90 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ],
% 0.51/0.90 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.51/0.90 identity ) ) ],
% 0.51/0.90 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.51/0.90 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.51/0.90 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.51/0.90 ] .
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 percentage equality = 1.000000, percentage horn = 1.000000
% 0.51/0.90 This is a pure equality problem
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 Options Used:
% 0.51/0.90
% 0.51/0.90 useres = 1
% 0.51/0.90 useparamod = 1
% 0.51/0.90 useeqrefl = 1
% 0.51/0.90 useeqfact = 1
% 0.51/0.90 usefactor = 1
% 0.51/0.90 usesimpsplitting = 0
% 0.51/0.90 usesimpdemod = 5
% 0.51/0.90 usesimpres = 3
% 0.51/0.90
% 0.51/0.90 resimpinuse = 1000
% 0.51/0.90 resimpclauses = 20000
% 0.51/0.90 substype = eqrewr
% 0.51/0.90 backwardsubs = 1
% 0.51/0.90 selectoldest = 5
% 0.51/0.90
% 0.51/0.90 litorderings [0] = split
% 0.51/0.90 litorderings [1] = extend the termordering, first sorting on arguments
% 0.51/0.90
% 0.51/0.90 termordering = kbo
% 0.51/0.90
% 0.51/0.90 litapriori = 0
% 0.51/0.90 termapriori = 1
% 0.51/0.90 litaposteriori = 0
% 0.51/0.90 termaposteriori = 0
% 0.51/0.90 demodaposteriori = 0
% 0.51/0.90 ordereqreflfact = 0
% 0.51/0.90
% 0.51/0.90 litselect = negord
% 0.51/0.90
% 0.51/0.90 maxweight = 15
% 0.51/0.90 maxdepth = 30000
% 0.51/0.90 maxlength = 115
% 0.51/0.90 maxnrvars = 195
% 0.51/0.90 excuselevel = 1
% 0.51/0.90 increasemaxweight = 1
% 0.51/0.90
% 0.51/0.90 maxselected = 10000000
% 0.51/0.90 maxnrclauses = 10000000
% 0.51/0.90
% 0.51/0.90 showgenerated = 0
% 0.51/0.90 showkept = 0
% 0.51/0.90 showselected = 0
% 0.51/0.90 showdeleted = 0
% 0.51/0.90 showresimp = 1
% 0.51/0.90 showstatus = 2000
% 0.51/0.90
% 0.51/0.90 prologoutput = 1
% 0.51/0.90 nrgoals = 5000000
% 0.51/0.90 totalproof = 1
% 0.51/0.90
% 0.51/0.90 Symbols occurring in the translation:
% 0.51/0.90
% 0.51/0.90 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.51/0.90 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.51/0.90 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.51/0.90 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/0.90 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/0.90 identity [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.51/0.90 'double_divide' [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.51/0.90 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.51/0.90 inverse [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.51/0.90 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.51/0.90 b [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 Starting Search:
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 Bliksems!, er is een bewijs:
% 0.51/0.90 % SZS status Unsatisfiable
% 0.51/0.90 % SZS output start Refutation
% 0.51/0.90
% 0.51/0.90 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.90 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.90 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/0.90 multiply( X, Y ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.51/0.90 ), identity ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.90 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.90 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.90 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.90 inverse( identity ) ), Y ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.90 inverse( identity ), 'double_divide'( Y, 'double_divide'( identity, X ) )
% 0.51/0.90 ) ), inverse( identity ) ), Y ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 14, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/0.90 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.51/0.90 inverse( X ) ) ) ), inverse( identity ) ), Y ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 17, [ =( 'double_divide'( inverse( inverse( X ) ), inverse(
% 0.51/0.90 identity ) ), 'double_divide'( identity, X ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 18, [ =( 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.90 identity ) ), 'double_divide'( identity, inverse( X ) ) ), inverse(
% 0.51/0.90 identity ) ), X ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 19, [ =( 'double_divide'( 'double_divide'( inverse( identity ),
% 0.51/0.90 'double_divide'( inverse( identity ), inverse( X ) ) ), inverse( identity
% 0.51/0.90 ) ), X ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 23, [ =( 'double_divide'( inverse( multiply( Y, X ) ), inverse(
% 0.51/0.90 identity ) ), 'double_divide'( identity, 'double_divide'( X, Y ) ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 29, [ =( 'double_divide'( 'double_divide'( multiply(
% 0.51/0.90 'double_divide'( X, inverse( identity ) ), inverse( identity ) ), X ),
% 0.51/0.90 inverse( identity ) ), identity ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 35, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.51/0.90 ), identity ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 38, [ =( 'double_divide'( 'double_divide'( identity, multiply( X,
% 0.51/0.90 identity ) ), inverse( identity ) ), X ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 45, [ =( 'double_divide'( identity, 'double_divide'( Y, X ) ),
% 0.51/0.90 inverse( inverse( multiply( X, Y ) ) ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 48, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.90 identity, X ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 57, [ =( 'double_divide'( identity, inverse( X ) ), multiply( X,
% 0.51/0.90 identity ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 58, [ =( multiply( inverse( X ), identity ), inverse( multiply( X,
% 0.51/0.90 identity ) ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 63, [ =( inverse( inverse( multiply( multiply( X, identity ),
% 0.51/0.90 identity ) ) ), inverse( inverse( X ) ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 71, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 74, [ =( multiply( 'double_divide'( X, Y ), identity ),
% 0.51/0.90 'double_divide'( identity, multiply( Y, X ) ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 77, [ =( 'double_divide'( 'double_divide'( identity, multiply( X,
% 0.51/0.90 identity ) ), X ), identity ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 81, [ =( multiply( 'double_divide'( inverse( inverse( X ) ),
% 0.51/0.90 inverse( Y ) ), X ), Y ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 83, [ =( multiply( 'double_divide'( identity, X ), X ), identity )
% 0.51/0.90 ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 90, [ =( 'double_divide'( identity, multiply( multiply( Y, X ),
% 0.51/0.90 identity ) ), 'double_divide'( X, Y ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 115, [ =( 'double_divide'( X, 'double_divide'( identity, X ) ),
% 0.51/0.90 identity ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 123, [ =( inverse( inverse( X ) ), X ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 132, [ =( multiply( X, identity ), X ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 136, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 144, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.51/0.90 .
% 0.51/0.90 clause( 150, [] )
% 0.51/0.90 .
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 % SZS output end Refutation
% 0.51/0.90 found a proof!
% 0.51/0.90
% 0.51/0.90 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/0.90
% 0.51/0.90 initialclauses(
% 0.51/0.90 [ clause( 152, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.90 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.90 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.51/0.90 , clause( 153, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.51/0.90 X ), identity ) ) ] )
% 0.51/0.90 , clause( 154, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.51/0.90 , clause( 155, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.51/0.90 , clause( 156, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.51/0.90 ] ).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 subsumption(
% 0.51/0.90 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.90 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.90 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.51/0.90 , clause( 152, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.90 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.90 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.51/0.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/0.90 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 eqswap(
% 0.51/0.90 clause( 159, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/0.90 multiply( X, Y ) ) ] )
% 0.51/0.90 , clause( 153, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.51/0.90 X ), identity ) ) ] )
% 0.51/0.90 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 subsumption(
% 0.51/0.90 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/0.90 multiply( X, Y ) ) ] )
% 0.51/0.90 , clause( 159, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/0.90 multiply( X, Y ) ) ] )
% 0.51/0.90 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.90 )] ) ).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 eqswap(
% 0.51/0.90 clause( 162, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.90 , clause( 154, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.51/0.90 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 subsumption(
% 0.51/0.90 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.90 , clause( 162, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.90 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 eqswap(
% 0.51/0.90 clause( 166, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.90 , clause( 155, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.51/0.90 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 subsumption(
% 0.51/0.90 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.90 , clause( 166, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.90 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 subsumption(
% 0.51/0.90 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.51/0.90 , clause( 156, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.51/0.90 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 paramod(
% 0.51/0.90 clause( 174, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.51/0.90 )
% 0.51/0.90 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.90 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/0.90 multiply( X, Y ) ) ] )
% 0.51/0.90 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.51/0.90 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 subsumption(
% 0.51/0.90 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.51/0.90 , clause( 174, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.51/0.90 ] )
% 0.51/0.90 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.90 )] ) ).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 eqswap(
% 0.51/0.90 clause( 177, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.51/0.90 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.90 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 paramod(
% 0.51/0.90 clause( 180, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.51/0.90 multiply( Y, X ) ) ) ] )
% 0.51/0.90 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.90 )
% 0.51/0.90 , 0, clause( 177, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.51/0.91 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.51/0.91 :=( X, 'double_divide'( X, Y ) )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 181, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.51/0.91 ) ), identity ) ] )
% 0.51/0.91 , clause( 180, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.51/0.91 multiply( Y, X ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.51/0.91 ), identity ) ] )
% 0.51/0.91 , clause( 181, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y,
% 0.51/0.91 X ) ), identity ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.91 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 183, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 186, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 183, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.51/0.91 ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.51/0.91 :=( Y, identity )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , clause( 186, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 190, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.51/0.91 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.51/0.91 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.51/0.91 , clause( 190, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/0.91 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 193, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 196, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.51/0.91 identity ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.91 , 0, clause( 193, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( Z,
% 0.51/0.91 'double_divide'( Y, X ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.51/0.91 inverse( Y ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 197, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 196, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.51/0.91 identity ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.51/0.91 :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 198, [ =( 'double_divide'( 'double_divide'( inverse( Y ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.51/0.91 inverse( identity ) ), X ) ] )
% 0.51/0.91 , clause( 197, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ), Y ) ] )
% 0.51/0.91 , clause( 198, [ =( 'double_divide'( 'double_divide'( inverse( Y ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.51/0.91 inverse( identity ) ), X ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.91 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 200, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 201, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( X, 'double_divide'( identity, Y ) )
% 0.51/0.91 ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 200, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( Z,
% 0.51/0.91 'double_divide'( Y, X ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.51/0.91 Y ), :=( Y, identity ), :=( Z, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 203, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( X, 'double_divide'( identity, Y ) )
% 0.51/0.91 ) ), inverse( identity ) ), X ) ] )
% 0.51/0.91 , clause( 201, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( X, 'double_divide'( identity, Y ) )
% 0.51/0.91 ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( Y, 'double_divide'( identity, X ) )
% 0.51/0.91 ) ), inverse( identity ) ), Y ) ] )
% 0.51/0.91 , clause( 203, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( X, 'double_divide'( identity, Y ) )
% 0.51/0.91 ) ), inverse( identity ) ), X ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.91 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 206, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 208, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.51/0.91 inverse( Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 206, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( Z,
% 0.51/0.91 'double_divide'( Y, X ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.51/0.91 identity ), :=( Y, Y ), :=( Z, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 210, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.51/0.91 inverse( Y ) ) ) ), inverse( identity ) ), X ) ] )
% 0.51/0.91 , clause( 208, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.51/0.91 inverse( Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 14, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.51/0.91 inverse( X ) ) ) ), inverse( identity ) ), Y ) ] )
% 0.51/0.91 , clause( 210, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.51/0.91 inverse( Y ) ) ) ), inverse( identity ) ), X ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.91 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 212, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ), Y ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 214, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.51/0.91 'double_divide'( inverse( X ), identity ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.91 , 0, clause( 212, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.51/0.91 substitution( 1, [ :=( X, X ), :=( Y, 'double_divide'( identity, X ) )] )
% 0.51/0.91 ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 216, [ =( 'double_divide'( identity, X ), 'double_divide'( inverse(
% 0.51/0.91 inverse( X ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 214, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.51/0.91 'double_divide'( inverse( X ), identity ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.51/0.91 :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 217, [ =( 'double_divide'( inverse( inverse( X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, X ) ) ] )
% 0.51/0.91 , clause( 216, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.51/0.91 inverse( inverse( X ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 17, [ =( 'double_divide'( inverse( inverse( X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, X ) ) ] )
% 0.51/0.91 , clause( 217, [ =( 'double_divide'( inverse( inverse( X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, X ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 219, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ), Y ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 221, [ =( X, 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.91 , 0, clause( 219, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.51/0.91 inverse( identity ) ), :=( Y, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 223, [ =( 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ), X ) ] )
% 0.51/0.91 , clause( 221, [ =( X, 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 18, [ =( 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ), X ) ] )
% 0.51/0.91 , clause( 223, [ =( 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ), X ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 225, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ), Y ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 226, [ =( X, 'double_divide'( 'double_divide'( inverse( identity )
% 0.51/0.91 , 'double_divide'( inverse( identity ), inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 225, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.51/0.91 identity ), :=( Y, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 227, [ =( 'double_divide'( 'double_divide'( inverse( identity ),
% 0.51/0.91 'double_divide'( inverse( identity ), inverse( X ) ) ), inverse( identity
% 0.51/0.91 ) ), X ) ] )
% 0.51/0.91 , clause( 226, [ =( X, 'double_divide'( 'double_divide'( inverse( identity
% 0.51/0.91 ), 'double_divide'( inverse( identity ), inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 19, [ =( 'double_divide'( 'double_divide'( inverse( identity ),
% 0.51/0.91 'double_divide'( inverse( identity ), inverse( X ) ) ), inverse( identity
% 0.51/0.91 ) ), X ) ] )
% 0.51/0.91 , clause( 227, [ =( 'double_divide'( 'double_divide'( inverse( identity ),
% 0.51/0.91 'double_divide'( inverse( identity ), inverse( X ) ) ), inverse( identity
% 0.51/0.91 ) ), X ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 229, [ =( 'double_divide'( identity, X ), 'double_divide'( inverse(
% 0.51/0.91 inverse( X ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 17, [ =( 'double_divide'( inverse( inverse( X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, X ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 232, [ =( 'double_divide'( identity, 'double_divide'( X, Y ) ),
% 0.51/0.91 'double_divide'( inverse( multiply( Y, X ) ), inverse( identity ) ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 229, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.51/0.91 inverse( inverse( X ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.51/0.91 :=( X, 'double_divide'( X, Y ) )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 233, [ =( 'double_divide'( inverse( multiply( Y, X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, 'double_divide'( X, Y ) ) ) ] )
% 0.51/0.91 , clause( 232, [ =( 'double_divide'( identity, 'double_divide'( X, Y ) ),
% 0.51/0.91 'double_divide'( inverse( multiply( Y, X ) ), inverse( identity ) ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 23, [ =( 'double_divide'( inverse( multiply( Y, X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, 'double_divide'( X, Y ) ) ) ] )
% 0.51/0.91 , clause( 233, [ =( 'double_divide'( inverse( multiply( Y, X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, 'double_divide'( X, Y ) ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.91 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 235, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ), Y ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 238, [ =( identity, 'double_divide'( 'double_divide'( inverse(
% 0.51/0.91 'double_divide'( inverse( identity ), 'double_divide'( X, 'double_divide'(
% 0.51/0.91 identity, identity ) ) ) ), X ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( Y, 'double_divide'( identity, X ) )
% 0.51/0.91 ) ), inverse( identity ) ), Y ) ] )
% 0.51/0.91 , 0, clause( 235, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 13, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 0.51/0.91 substitution( 1, [ :=( X, 'double_divide'( inverse( identity ),
% 0.51/0.91 'double_divide'( X, 'double_divide'( identity, identity ) ) ) ), :=( Y,
% 0.51/0.91 identity )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 239, [ =( identity, 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, 'double_divide'( identity, identity ) ), inverse(
% 0.51/0.91 identity ) ), X ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 238, [ =( identity, 'double_divide'( 'double_divide'( inverse(
% 0.51/0.91 'double_divide'( inverse( identity ), 'double_divide'( X, 'double_divide'(
% 0.51/0.91 identity, identity ) ) ) ), X ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( X, 'double_divide'(
% 0.51/0.91 identity, identity ) ) ), :=( Y, inverse( identity ) )] ), substitution(
% 0.51/0.91 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 240, [ =( identity, 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, inverse( identity ) ), inverse( identity ) ), X ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 239, [ =( identity, 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, 'double_divide'( identity, identity ) ), inverse(
% 0.51/0.91 identity ) ), X ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.51/0.91 X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 241, [ =( 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, inverse( identity ) ), inverse( identity ) ), X ),
% 0.51/0.91 inverse( identity ) ), identity ) ] )
% 0.51/0.91 , clause( 240, [ =( identity, 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, inverse( identity ) ), inverse( identity ) ), X ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 29, [ =( 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, inverse( identity ) ), inverse( identity ) ), X ),
% 0.51/0.91 inverse( identity ) ), identity ) ] )
% 0.51/0.91 , clause( 241, [ =( 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, inverse( identity ) ), inverse( identity ) ), X ),
% 0.51/0.91 inverse( identity ) ), identity ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 243, [ =( identity, 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, inverse( identity ) ), inverse( identity ) ), X ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 29, [ =( 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, inverse( identity ) ), inverse( identity ) ), X ),
% 0.51/0.91 inverse( identity ) ), identity ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 247, [ =( identity, 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 identity, inverse( identity ) ), identity ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.91 , 0, clause( 243, [ =( identity, 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 'double_divide'( X, inverse( identity ) ), inverse( identity ) ), X ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.51/0.91 identity )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 248, [ =( identity, 'double_divide'( inverse( multiply( identity,
% 0.51/0.91 inverse( identity ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 247, [ =( identity, 'double_divide'( 'double_divide'( multiply(
% 0.51/0.91 identity, inverse( identity ) ), identity ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 3, substitution( 0, [ :=( X, multiply( identity, inverse( identity ) )
% 0.51/0.91 )] ), substitution( 1, [] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 249, [ =( identity, 'double_divide'( identity, 'double_divide'(
% 0.51/0.91 inverse( identity ), identity ) ) ) ] )
% 0.51/0.91 , clause( 23, [ =( 'double_divide'( inverse( multiply( Y, X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, 'double_divide'( X, Y ) ) ) ] )
% 0.51/0.91 , 0, clause( 248, [ =( identity, 'double_divide'( inverse( multiply(
% 0.51/0.91 identity, inverse( identity ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 2, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, identity )] )
% 0.51/0.91 , substitution( 1, [] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 250, [ =( identity, 'double_divide'( identity, inverse( inverse(
% 0.51/0.91 identity ) ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 249, [ =( identity, 'double_divide'( identity, 'double_divide'(
% 0.51/0.91 inverse( identity ), identity ) ) ) ] )
% 0.51/0.91 , 0, 4, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.51/0.91 , [] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 251, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.51/0.91 ), identity ) ] )
% 0.51/0.91 , clause( 250, [ =( identity, 'double_divide'( identity, inverse( inverse(
% 0.51/0.91 identity ) ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 35, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.51/0.91 ), identity ) ] )
% 0.51/0.91 , clause( 251, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.51/0.91 ) ), identity ) ] )
% 0.51/0.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 253, [ =( Y, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.51/0.91 inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 14, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.51/0.91 inverse( X ) ) ) ), inverse( identity ) ), Y ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 257, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), identity ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/0.91 , 0, clause( 253, [ =( Y, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.51/0.91 inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.51/0.91 :=( Y, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 258, [ =( X, 'double_divide'( 'double_divide'( identity, inverse(
% 0.51/0.91 'double_divide'( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 257, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), identity ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.51/0.91 substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 259, [ =( X, 'double_divide'( 'double_divide'( identity, multiply(
% 0.51/0.91 X, identity ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 258, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 inverse( 'double_divide'( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.51/0.91 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 260, [ =( 'double_divide'( 'double_divide'( identity, multiply( X,
% 0.51/0.91 identity ) ), inverse( identity ) ), X ) ] )
% 0.51/0.91 , clause( 259, [ =( X, 'double_divide'( 'double_divide'( identity, multiply(
% 0.51/0.91 X, identity ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 38, [ =( 'double_divide'( 'double_divide'( identity, multiply( X,
% 0.51/0.91 identity ) ), inverse( identity ) ), X ) ] )
% 0.51/0.91 , clause( 260, [ =( 'double_divide'( 'double_divide'( identity, multiply( X
% 0.51/0.91 , identity ) ), inverse( identity ) ), X ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 262, [ =( Y, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.51/0.91 inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 14, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.51/0.91 inverse( X ) ) ) ), inverse( identity ) ), Y ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 267, [ =( identity, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, inverse( identity ) ),
% 0.51/0.91 identity ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 35, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.51/0.91 ) ), identity ) ] )
% 0.51/0.91 , 0, clause( 262, [ =( Y, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.51/0.91 inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( identity
% 0.51/0.91 ) ), :=( Y, identity )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 268, [ =( identity, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 inverse( 'double_divide'( identity, inverse( identity ) ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 267, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.51/0.91 , 'double_divide'( 'double_divide'( identity, inverse( identity ) ),
% 0.51/0.91 identity ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( identity, inverse(
% 0.51/0.91 identity ) ) )] ), substitution( 1, [] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 269, [ =( identity, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 multiply( inverse( identity ), identity ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 268, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.51/0.91 , inverse( 'double_divide'( identity, inverse( identity ) ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, identity )] )
% 0.51/0.91 , substitution( 1, [] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 270, [ =( identity, inverse( identity ) ) ] )
% 0.51/0.91 , clause( 38, [ =( 'double_divide'( 'double_divide'( identity, multiply( X
% 0.51/0.91 , identity ) ), inverse( identity ) ), X ) ] )
% 0.51/0.91 , 0, clause( 269, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.51/0.91 , multiply( inverse( identity ), identity ) ), inverse( identity ) ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, 2, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.51/0.91 , [] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 271, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , clause( 270, [ =( identity, inverse( identity ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , clause( 271, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 273, [ =( 'double_divide'( identity, 'double_divide'( Y, X ) ),
% 0.51/0.91 'double_divide'( inverse( multiply( X, Y ) ), inverse( identity ) ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , clause( 23, [ =( 'double_divide'( inverse( multiply( Y, X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, 'double_divide'( X, Y ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 275, [ =( 'double_divide'( identity, 'double_divide'( X, Y ) ),
% 0.51/0.91 'double_divide'( inverse( multiply( Y, X ) ), identity ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 273, [ =( 'double_divide'( identity, 'double_divide'( Y, X ) )
% 0.51/0.91 , 'double_divide'( inverse( multiply( X, Y ) ), inverse( identity ) ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )
% 0.51/0.91 ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 276, [ =( 'double_divide'( identity, 'double_divide'( X, Y ) ),
% 0.51/0.91 inverse( inverse( multiply( Y, X ) ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 275, [ =( 'double_divide'( identity, 'double_divide'( X, Y ) )
% 0.51/0.91 , 'double_divide'( inverse( multiply( Y, X ) ), identity ) ) ] )
% 0.51/0.91 , 0, 6, substitution( 0, [ :=( X, inverse( multiply( Y, X ) ) )] ),
% 0.51/0.91 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 45, [ =( 'double_divide'( identity, 'double_divide'( Y, X ) ),
% 0.51/0.91 inverse( inverse( multiply( X, Y ) ) ) ) ] )
% 0.51/0.91 , clause( 276, [ =( 'double_divide'( identity, 'double_divide'( X, Y ) ),
% 0.51/0.91 inverse( inverse( multiply( Y, X ) ) ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.91 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 279, [ =( 'double_divide'( identity, X ), 'double_divide'( inverse(
% 0.51/0.91 inverse( X ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 17, [ =( 'double_divide'( inverse( inverse( X ) ), inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, X ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 283, [ =( 'double_divide'( identity, X ), 'double_divide'( inverse(
% 0.51/0.91 inverse( X ) ), identity ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 279, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.51/0.91 inverse( inverse( X ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 287, [ =( 'double_divide'( identity, X ), inverse( inverse( inverse(
% 0.51/0.91 X ) ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 283, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.51/0.91 inverse( inverse( X ) ), identity ) ) ] )
% 0.51/0.91 , 0, 4, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.51/0.91 substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 288, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.91 identity, X ) ) ] )
% 0.51/0.91 , clause( 287, [ =( 'double_divide'( identity, X ), inverse( inverse(
% 0.51/0.91 inverse( X ) ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 48, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.91 identity, X ) ) ] )
% 0.51/0.91 , clause( 288, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.91 identity, X ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 289, [ =( 'double_divide'( identity, X ), inverse( inverse( inverse(
% 0.51/0.91 X ) ) ) ) ] )
% 0.51/0.91 , clause( 48, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.91 identity, X ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 293, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.51/0.91 'double_divide'( identity, X ) ) ) ] )
% 0.51/0.91 , clause( 48, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.91 identity, X ) ) ] )
% 0.51/0.91 , 0, clause( 289, [ =( 'double_divide'( identity, X ), inverse( inverse(
% 0.51/0.91 inverse( X ) ) ) ) ] )
% 0.51/0.91 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.51/0.91 X ) )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 297, [ =( 'double_divide'( identity, inverse( X ) ), multiply( X,
% 0.51/0.91 identity ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 293, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.51/0.91 'double_divide'( identity, X ) ) ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.51/0.91 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 57, [ =( 'double_divide'( identity, inverse( X ) ), multiply( X,
% 0.51/0.91 identity ) ) ] )
% 0.51/0.91 , clause( 297, [ =( 'double_divide'( identity, inverse( X ) ), multiply( X
% 0.51/0.91 , identity ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 299, [ =( 'double_divide'( identity, X ), inverse( inverse( inverse(
% 0.51/0.91 X ) ) ) ) ] )
% 0.51/0.91 , clause( 48, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.91 identity, X ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 305, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.51/0.91 inverse( inverse( 'double_divide'( identity, X ) ) ) ) ] )
% 0.51/0.91 , clause( 48, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.91 identity, X ) ) ] )
% 0.51/0.91 , 0, clause( 299, [ =( 'double_divide'( identity, X ), inverse( inverse(
% 0.51/0.91 inverse( X ) ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.51/0.91 inverse( X ) ) )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 306, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.51/0.91 inverse( multiply( X, identity ) ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 305, [ =( 'double_divide'( identity, inverse( inverse( X ) ) )
% 0.51/0.91 , inverse( inverse( 'double_divide'( identity, X ) ) ) ) ] )
% 0.51/0.91 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.51/0.91 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 307, [ =( multiply( inverse( X ), identity ), inverse( multiply( X
% 0.51/0.91 , identity ) ) ) ] )
% 0.51/0.91 , clause( 57, [ =( 'double_divide'( identity, inverse( X ) ), multiply( X,
% 0.51/0.91 identity ) ) ] )
% 0.51/0.91 , 0, clause( 306, [ =( 'double_divide'( identity, inverse( inverse( X ) ) )
% 0.51/0.91 , inverse( multiply( X, identity ) ) ) ] )
% 0.51/0.91 , 0, 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.51/0.91 :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 58, [ =( multiply( inverse( X ), identity ), inverse( multiply( X,
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , clause( 307, [ =( multiply( inverse( X ), identity ), inverse( multiply(
% 0.51/0.91 X, identity ) ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 310, [ =( X, 'double_divide'( 'double_divide'( inverse( identity )
% 0.51/0.91 , 'double_divide'( inverse( identity ), inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , clause( 19, [ =( 'double_divide'( 'double_divide'( inverse( identity ),
% 0.51/0.91 'double_divide'( inverse( identity ), inverse( X ) ) ), inverse( identity
% 0.51/0.91 ) ), X ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 317, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( inverse( identity ),
% 0.51/0.91 'double_divide'( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 48, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.91 identity, X ) ) ] )
% 0.51/0.91 , 0, clause( 310, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.51/0.91 identity ), 'double_divide'( inverse( identity ), inverse( X ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.51/0.91 inverse( inverse( X ) ) )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 320, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( inverse( identity ),
% 0.51/0.91 'double_divide'( identity, X ) ) ), identity ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 317, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.51/0.91 'double_divide'( inverse( identity ), 'double_divide'( inverse( identity
% 0.51/0.91 ), 'double_divide'( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 322, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( identity, 'double_divide'( identity
% 0.51/0.91 , X ) ) ), identity ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 320, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.51/0.91 'double_divide'( inverse( identity ), 'double_divide'( inverse( identity
% 0.51/0.91 ), 'double_divide'( identity, X ) ) ), identity ) ) ] )
% 0.51/0.91 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 323, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.51/0.91 identity, 'double_divide'( identity, 'double_divide'( identity, X ) ) ),
% 0.51/0.91 identity ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 322, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.51/0.91 'double_divide'( inverse( identity ), 'double_divide'( identity,
% 0.51/0.91 'double_divide'( identity, X ) ) ), identity ) ) ] )
% 0.51/0.91 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 330, [ =( inverse( inverse( X ) ), inverse( 'double_divide'(
% 0.51/0.91 identity, 'double_divide'( identity, 'double_divide'( identity, X ) ) ) )
% 0.51/0.91 ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 323, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.51/0.91 'double_divide'( identity, 'double_divide'( identity, 'double_divide'(
% 0.51/0.91 identity, X ) ) ), identity ) ) ] )
% 0.51/0.91 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity,
% 0.51/0.91 'double_divide'( identity, 'double_divide'( identity, X ) ) ) )] ),
% 0.51/0.91 substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 331, [ =( inverse( inverse( X ) ), multiply( 'double_divide'(
% 0.51/0.91 identity, 'double_divide'( identity, X ) ), identity ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 330, [ =( inverse( inverse( X ) ), inverse( 'double_divide'(
% 0.51/0.91 identity, 'double_divide'( identity, 'double_divide'( identity, X ) ) ) )
% 0.51/0.91 ) ] )
% 0.51/0.91 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity,
% 0.51/0.91 'double_divide'( identity, X ) ) ), :=( Y, identity )] ), substitution( 1
% 0.51/0.91 , [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 332, [ =( inverse( inverse( X ) ), multiply( inverse( inverse(
% 0.51/0.91 multiply( X, identity ) ) ), identity ) ) ] )
% 0.51/0.91 , clause( 45, [ =( 'double_divide'( identity, 'double_divide'( Y, X ) ),
% 0.51/0.91 inverse( inverse( multiply( X, Y ) ) ) ) ] )
% 0.51/0.91 , 0, clause( 331, [ =( inverse( inverse( X ) ), multiply( 'double_divide'(
% 0.51/0.91 identity, 'double_divide'( identity, X ) ), identity ) ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.51/0.91 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 333, [ =( inverse( inverse( X ) ), inverse( multiply( inverse(
% 0.51/0.91 multiply( X, identity ) ), identity ) ) ) ] )
% 0.51/0.91 , clause( 58, [ =( multiply( inverse( X ), identity ), inverse( multiply( X
% 0.51/0.91 , identity ) ) ) ] )
% 0.51/0.91 , 0, clause( 332, [ =( inverse( inverse( X ) ), multiply( inverse( inverse(
% 0.51/0.91 multiply( X, identity ) ) ), identity ) ) ] )
% 0.51/0.91 , 0, 4, substitution( 0, [ :=( X, inverse( multiply( X, identity ) ) )] ),
% 0.51/0.91 substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 335, [ =( inverse( inverse( X ) ), inverse( inverse( multiply(
% 0.51/0.91 multiply( X, identity ), identity ) ) ) ) ] )
% 0.51/0.91 , clause( 58, [ =( multiply( inverse( X ), identity ), inverse( multiply( X
% 0.51/0.91 , identity ) ) ) ] )
% 0.51/0.91 , 0, clause( 333, [ =( inverse( inverse( X ) ), inverse( multiply( inverse(
% 0.51/0.91 multiply( X, identity ) ), identity ) ) ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, multiply( X, identity ) )] ),
% 0.51/0.91 substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 336, [ =( inverse( inverse( multiply( multiply( X, identity ),
% 0.51/0.91 identity ) ) ), inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , clause( 335, [ =( inverse( inverse( X ) ), inverse( inverse( multiply(
% 0.51/0.91 multiply( X, identity ), identity ) ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 63, [ =( inverse( inverse( multiply( multiply( X, identity ),
% 0.51/0.91 identity ) ) ), inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , clause( 336, [ =( inverse( inverse( multiply( multiply( X, identity ),
% 0.51/0.91 identity ) ) ), inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 338, [ =( X, 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , clause( 18, [ =( 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), 'double_divide'( identity, inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ), X ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 343, [ =( X, 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), multiply( X, identity ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 57, [ =( 'double_divide'( identity, inverse( X ) ), multiply( X,
% 0.51/0.91 identity ) ) ] )
% 0.51/0.91 , 0, clause( 338, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.51/0.91 inverse( identity ) ), 'double_divide'( identity, inverse( X ) ) ),
% 0.51/0.91 inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.51/0.91 ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 345, [ =( X, 'double_divide'( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), multiply( X, identity ) ), identity ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 343, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.51/0.91 inverse( identity ) ), multiply( X, identity ) ), inverse( identity ) ) )
% 0.51/0.91 ] )
% 0.51/0.91 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 349, [ =( X, inverse( 'double_divide'( inverse( inverse( identity )
% 0.51/0.91 ), multiply( X, identity ) ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 345, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.51/0.91 inverse( identity ) ), multiply( X, identity ) ), identity ) ) ] )
% 0.51/0.91 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), multiply( X, identity ) ) )] ), substitution( 1, [ :=( X, X
% 0.51/0.91 )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 350, [ =( X, multiply( multiply( X, identity ), inverse( inverse(
% 0.51/0.91 identity ) ) ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 349, [ =( X, inverse( 'double_divide'( inverse( inverse(
% 0.51/0.91 identity ) ), multiply( X, identity ) ) ) ) ] )
% 0.51/0.91 , 0, 2, substitution( 0, [ :=( X, multiply( X, identity ) ), :=( Y, inverse(
% 0.51/0.91 inverse( identity ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 351, [ =( X, multiply( multiply( X, identity ), inverse( identity )
% 0.51/0.91 ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 350, [ =( X, multiply( multiply( X, identity ), inverse(
% 0.51/0.91 inverse( identity ) ) ) ) ] )
% 0.51/0.91 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 352, [ =( X, multiply( multiply( X, identity ), identity ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 351, [ =( X, multiply( multiply( X, identity ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 353, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.51/0.91 , clause( 352, [ =( X, multiply( multiply( X, identity ), identity ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 71, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.51/0.91 , clause( 353, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 356, [ =( multiply( X, identity ), 'double_divide'( identity,
% 0.51/0.91 inverse( X ) ) ) ] )
% 0.51/0.91 , clause( 57, [ =( 'double_divide'( identity, inverse( X ) ), multiply( X,
% 0.51/0.91 identity ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 359, [ =( multiply( 'double_divide'( X, Y ), identity ),
% 0.51/0.91 'double_divide'( identity, multiply( Y, X ) ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 356, [ =( multiply( X, identity ), 'double_divide'( identity,
% 0.51/0.91 inverse( X ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.51/0.91 :=( X, 'double_divide'( X, Y ) )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 74, [ =( multiply( 'double_divide'( X, Y ), identity ),
% 0.51/0.91 'double_divide'( identity, multiply( Y, X ) ) ) ] )
% 0.51/0.91 , clause( 359, [ =( multiply( 'double_divide'( X, Y ), identity ),
% 0.51/0.91 'double_divide'( identity, multiply( Y, X ) ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.91 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 362, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.51/0.91 multiply( Y, X ) ) ) ] )
% 0.51/0.91 , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.51/0.91 ) ), identity ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 363, [ =( identity, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 multiply( X, identity ) ), X ) ) ] )
% 0.51/0.91 , clause( 71, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.51/0.91 , 0, clause( 362, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.51/0.91 multiply( Y, X ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.51/0.91 identity ), :=( Y, multiply( X, identity ) )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 364, [ =( 'double_divide'( 'double_divide'( identity, multiply( X,
% 0.51/0.91 identity ) ), X ), identity ) ] )
% 0.51/0.91 , clause( 363, [ =( identity, 'double_divide'( 'double_divide'( identity,
% 0.51/0.91 multiply( X, identity ) ), X ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 77, [ =( 'double_divide'( 'double_divide'( identity, multiply( X,
% 0.51/0.91 identity ) ), X ), identity ) ] )
% 0.51/0.91 , clause( 364, [ =( 'double_divide'( 'double_divide'( identity, multiply( X
% 0.51/0.91 , identity ) ), X ), identity ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 366, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.51/0.91 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 374, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 'double_divide'( identity, 'double_divide'( identity, multiply( Y,
% 0.51/0.91 identity ) ) ), 'double_divide'( X, identity ) ) ), inverse( identity ) )
% 0.51/0.91 ) ] )
% 0.51/0.91 , clause( 77, [ =( 'double_divide'( 'double_divide'( identity, multiply( X
% 0.51/0.91 , identity ) ), X ), identity ) ] )
% 0.51/0.91 , 0, clause( 366, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( Z,
% 0.51/0.91 'double_divide'( Y, X ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 15, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.51/0.91 :=( Y, 'double_divide'( identity, multiply( Y, identity ) ) ), :=( Z, X )] )
% 0.51/0.91 ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 375, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( inverse( multiply( multiply( Y, identity ), identity ) ) ),
% 0.51/0.91 'double_divide'( X, identity ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 45, [ =( 'double_divide'( identity, 'double_divide'( Y, X ) ),
% 0.51/0.91 inverse( inverse( multiply( X, Y ) ) ) ) ] )
% 0.51/0.91 , 0, clause( 374, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.51/0.91 'double_divide'( 'double_divide'( identity, 'double_divide'( identity,
% 0.51/0.91 multiply( Y, identity ) ) ), 'double_divide'( X, identity ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , 0, 6, substitution( 0, [ :=( X, multiply( Y, identity ) ), :=( Y,
% 0.51/0.91 identity )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 376, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( inverse( Y ) ), 'double_divide'( X, identity ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , clause( 63, [ =( inverse( inverse( multiply( multiply( X, identity ),
% 0.51/0.91 identity ) ) ), inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , 0, clause( 375, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.51/0.91 'double_divide'( inverse( inverse( multiply( multiply( Y, identity ),
% 0.51/0.91 identity ) ) ), 'double_divide'( X, identity ) ) ), inverse( identity ) )
% 0.51/0.91 ) ] )
% 0.51/0.91 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.51/0.91 :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 377, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( inverse( Y ) ), inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 376, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.51/0.91 'double_divide'( inverse( inverse( Y ) ), 'double_divide'( X, identity )
% 0.51/0.91 ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.51/0.91 :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 378, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( inverse( Y ) ), inverse( X ) ) ), identity ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 377, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.51/0.91 'double_divide'( inverse( inverse( Y ) ), inverse( X ) ) ), inverse(
% 0.51/0.91 identity ) ) ) ] )
% 0.51/0.91 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.51/0.91 ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 379, [ =( X, inverse( 'double_divide'( Y, 'double_divide'( inverse(
% 0.51/0.91 inverse( Y ) ), inverse( X ) ) ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 378, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.51/0.91 'double_divide'( inverse( inverse( Y ) ), inverse( X ) ) ), identity ) )
% 0.51/0.91 ] )
% 0.51/0.91 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( inverse( Y ) ), inverse( X ) ) ) )] ), substitution( 1, [ :=( X
% 0.51/0.91 , X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 380, [ =( X, multiply( 'double_divide'( inverse( inverse( Y ) ),
% 0.51/0.91 inverse( X ) ), Y ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 379, [ =( X, inverse( 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 inverse( inverse( Y ) ), inverse( X ) ) ) ) ) ] )
% 0.51/0.91 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( inverse( inverse( Y ) )
% 0.51/0.91 , inverse( X ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.51/0.91 Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 381, [ =( multiply( 'double_divide'( inverse( inverse( Y ) ),
% 0.51/0.91 inverse( X ) ), Y ), X ) ] )
% 0.51/0.91 , clause( 380, [ =( X, multiply( 'double_divide'( inverse( inverse( Y ) ),
% 0.51/0.91 inverse( X ) ), Y ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 81, [ =( multiply( 'double_divide'( inverse( inverse( X ) ),
% 0.51/0.91 inverse( Y ) ), X ), Y ) ] )
% 0.51/0.91 , clause( 381, [ =( multiply( 'double_divide'( inverse( inverse( Y ) ),
% 0.51/0.91 inverse( X ) ), Y ), X ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.91 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 383, [ =( Y, multiply( 'double_divide'( inverse( inverse( X ) ),
% 0.51/0.91 inverse( Y ) ), X ) ) ] )
% 0.51/0.91 , clause( 81, [ =( multiply( 'double_divide'( inverse( inverse( X ) ),
% 0.51/0.91 inverse( Y ) ), X ), Y ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 387, [ =( identity, multiply( 'double_divide'( inverse( inverse( X
% 0.51/0.91 ) ), identity ), X ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 383, [ =( Y, multiply( 'double_divide'( inverse( inverse( X )
% 0.51/0.91 ), inverse( Y ) ), X ) ) ] )
% 0.51/0.91 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.51/0.91 identity )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 389, [ =( identity, multiply( inverse( inverse( inverse( X ) ) ), X
% 0.51/0.91 ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 387, [ =( identity, multiply( 'double_divide'( inverse(
% 0.51/0.91 inverse( X ) ), identity ), X ) ) ] )
% 0.51/0.91 , 0, 3, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.51/0.91 substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 390, [ =( identity, multiply( 'double_divide'( identity, X ), X ) )
% 0.51/0.91 ] )
% 0.51/0.91 , clause( 48, [ =( inverse( inverse( inverse( X ) ) ), 'double_divide'(
% 0.51/0.91 identity, X ) ) ] )
% 0.51/0.91 , 0, clause( 389, [ =( identity, multiply( inverse( inverse( inverse( X ) )
% 0.51/0.91 ), X ) ) ] )
% 0.51/0.91 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.51/0.91 ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 391, [ =( multiply( 'double_divide'( identity, X ), X ), identity )
% 0.51/0.91 ] )
% 0.51/0.91 , clause( 390, [ =( identity, multiply( 'double_divide'( identity, X ), X )
% 0.51/0.91 ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 83, [ =( multiply( 'double_divide'( identity, X ), X ), identity )
% 0.51/0.91 ] )
% 0.51/0.91 , clause( 391, [ =( multiply( 'double_divide'( identity, X ), X ), identity
% 0.51/0.91 ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 393, [ =( X, multiply( multiply( X, identity ), identity ) ) ] )
% 0.51/0.91 , clause( 71, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 398, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.51/0.91 identity, multiply( Y, X ) ), identity ) ) ] )
% 0.51/0.91 , clause( 74, [ =( multiply( 'double_divide'( X, Y ), identity ),
% 0.51/0.91 'double_divide'( identity, multiply( Y, X ) ) ) ] )
% 0.51/0.91 , 0, clause( 393, [ =( X, multiply( multiply( X, identity ), identity ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.51/0.91 :=( X, 'double_divide'( X, Y ) )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 400, [ =( 'double_divide'( X, Y ), 'double_divide'( identity,
% 0.51/0.91 multiply( multiply( Y, X ), identity ) ) ) ] )
% 0.51/0.91 , clause( 74, [ =( multiply( 'double_divide'( X, Y ), identity ),
% 0.51/0.91 'double_divide'( identity, multiply( Y, X ) ) ) ] )
% 0.51/0.91 , 0, clause( 398, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.51/0.91 identity, multiply( Y, X ) ), identity ) ) ] )
% 0.51/0.91 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 0.51/0.91 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 401, [ =( 'double_divide'( identity, multiply( multiply( Y, X ),
% 0.51/0.91 identity ) ), 'double_divide'( X, Y ) ) ] )
% 0.51/0.91 , clause( 400, [ =( 'double_divide'( X, Y ), 'double_divide'( identity,
% 0.51/0.91 multiply( multiply( Y, X ), identity ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 90, [ =( 'double_divide'( identity, multiply( multiply( Y, X ),
% 0.51/0.91 identity ) ), 'double_divide'( X, Y ) ) ] )
% 0.51/0.91 , clause( 401, [ =( 'double_divide'( identity, multiply( multiply( Y, X ),
% 0.51/0.91 identity ) ), 'double_divide'( X, Y ) ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.91 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 403, [ =( 'double_divide'( Y, X ), 'double_divide'( identity,
% 0.51/0.91 multiply( multiply( X, Y ), identity ) ) ) ] )
% 0.51/0.91 , clause( 90, [ =( 'double_divide'( identity, multiply( multiply( Y, X ),
% 0.51/0.91 identity ) ), 'double_divide'( X, Y ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 407, [ =( 'double_divide'( X, 'double_divide'( identity, X ) ),
% 0.51/0.91 'double_divide'( identity, multiply( identity, identity ) ) ) ] )
% 0.51/0.91 , clause( 83, [ =( multiply( 'double_divide'( identity, X ), X ), identity
% 0.51/0.91 ) ] )
% 0.51/0.91 , 0, clause( 403, [ =( 'double_divide'( Y, X ), 'double_divide'( identity,
% 0.51/0.91 multiply( multiply( X, Y ), identity ) ) ) ] )
% 0.51/0.91 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.51/0.91 'double_divide'( identity, X ) ), :=( Y, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 408, [ =( 'double_divide'( X, 'double_divide'( identity, X ) ),
% 0.51/0.91 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ] )
% 0.51/0.91 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , 0, clause( 407, [ =( 'double_divide'( X, 'double_divide'( identity, X ) )
% 0.51/0.91 , 'double_divide'( identity, multiply( identity, identity ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.51/0.91 X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 409, [ =( 'double_divide'( X, 'double_divide'( identity, X ) ),
% 0.51/0.91 identity ) ] )
% 0.51/0.91 , clause( 35, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.51/0.91 ) ), identity ) ] )
% 0.51/0.91 , 0, clause( 408, [ =( 'double_divide'( X, 'double_divide'( identity, X ) )
% 0.51/0.91 , 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ] )
% 0.51/0.91 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 115, [ =( 'double_divide'( X, 'double_divide'( identity, X ) ),
% 0.51/0.91 identity ) ] )
% 0.51/0.91 , clause( 409, [ =( 'double_divide'( X, 'double_divide'( identity, X ) ),
% 0.51/0.91 identity ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 412, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( Y, 'double_divide'( identity, X ) )
% 0.51/0.91 ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 inverse( identity ), 'double_divide'( Y, 'double_divide'( identity, X ) )
% 0.51/0.91 ) ), inverse( identity ) ), Y ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 419, [ =( X, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.51/0.91 inverse( identity ), identity ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 115, [ =( 'double_divide'( X, 'double_divide'( identity, X ) ),
% 0.51/0.91 identity ) ] )
% 0.51/0.91 , 0, clause( 412, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.51/0.91 'double_divide'( inverse( identity ), 'double_divide'( Y, 'double_divide'(
% 0.51/0.91 identity, X ) ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.51/0.91 :=( Y, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 503, [ =( X, 'double_divide'( 'double_divide'( X, inverse( inverse(
% 0.51/0.91 identity ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 419, [ =( X, 'double_divide'( 'double_divide'( X,
% 0.51/0.91 'double_divide'( inverse( identity ), identity ) ), inverse( identity ) )
% 0.51/0.91 ) ] )
% 0.51/0.91 , 0, 5, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.51/0.91 , [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 505, [ =( X, 'double_divide'( 'double_divide'( X, inverse( inverse(
% 0.51/0.91 identity ) ) ), identity ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 503, [ =( X, 'double_divide'( 'double_divide'( X, inverse(
% 0.51/0.91 inverse( identity ) ) ), inverse( identity ) ) ) ] )
% 0.51/0.91 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 509, [ =( X, inverse( 'double_divide'( X, inverse( inverse(
% 0.51/0.91 identity ) ) ) ) ) ] )
% 0.51/0.91 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/0.91 , 0, clause( 505, [ =( X, 'double_divide'( 'double_divide'( X, inverse(
% 0.51/0.91 inverse( identity ) ) ), identity ) ) ] )
% 0.51/0.91 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( X, inverse( inverse(
% 0.51/0.91 identity ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 510, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 0.51/0.91 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, clause( 509, [ =( X, inverse( 'double_divide'( X, inverse( inverse(
% 0.51/0.91 identity ) ) ) ) ) ] )
% 0.51/0.91 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( identity ) ) ), :=( Y,
% 0.51/0.91 X )] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 511, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 510, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ]
% 0.51/0.91 )
% 0.51/0.91 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 512, [ =( X, multiply( identity, X ) ) ] )
% 0.51/0.91 , clause( 40, [ =( inverse( identity ), identity ) ] )
% 0.51/0.91 , 0, clause( 511, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 0.51/0.91 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 paramod(
% 0.51/0.91 clause( 513, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , 0, clause( 512, [ =( X, multiply( identity, X ) ) ] )
% 0.51/0.91 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.51/0.91 ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 eqswap(
% 0.51/0.91 clause( 514, [ =( inverse( inverse( X ) ), X ) ] )
% 0.51/0.91 , clause( 513, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.51/0.91 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 subsumption(
% 0.51/0.91 clause( 123, [ =( inverse( inverse( X ) ), X ) ] )
% 0.51/0.91 , clause( 514, [ =( inverse( inverse( X ) ), X ) ] )
% 0.51/0.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 ==> clause( 132, [ =( multiply( X, identity ), X ) ] )
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91
% 0.51/0.91 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 0.51/0.91
% 0.51/0.91 Bliksem ended
%------------------------------------------------------------------------------