TSTP Solution File: GRP486-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP486-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 07:37:16 EDT 2022
% Result : Unsatisfiable 0.69s 1.10s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP486-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 10:32:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.69/1.10 *** allocated 10000 integers for termspace/termends
% 0.69/1.10 *** allocated 10000 integers for clauses
% 0.69/1.10 *** allocated 10000 integers for justifications
% 0.69/1.10 Bliksem 1.12
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Automatic Strategy Selection
% 0.69/1.10
% 0.69/1.10 Clauses:
% 0.69/1.10 [
% 0.69/1.10 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ],
% 0.69/1.10 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.69/1.10 identity ) ) ],
% 0.69/1.10 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.69/1.10 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.69/1.10 [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.69/1.10 c3 ) ) ) ) ]
% 0.69/1.10 ] .
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.10 This is a pure equality problem
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Options Used:
% 0.69/1.10
% 0.69/1.10 useres = 1
% 0.69/1.10 useparamod = 1
% 0.69/1.10 useeqrefl = 1
% 0.69/1.10 useeqfact = 1
% 0.69/1.10 usefactor = 1
% 0.69/1.10 usesimpsplitting = 0
% 0.69/1.10 usesimpdemod = 5
% 0.69/1.10 usesimpres = 3
% 0.69/1.10
% 0.69/1.10 resimpinuse = 1000
% 0.69/1.10 resimpclauses = 20000
% 0.69/1.10 substype = eqrewr
% 0.69/1.10 backwardsubs = 1
% 0.69/1.10 selectoldest = 5
% 0.69/1.10
% 0.69/1.10 litorderings [0] = split
% 0.69/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.10
% 0.69/1.10 termordering = kbo
% 0.69/1.10
% 0.69/1.10 litapriori = 0
% 0.69/1.10 termapriori = 1
% 0.69/1.10 litaposteriori = 0
% 0.69/1.10 termaposteriori = 0
% 0.69/1.10 demodaposteriori = 0
% 0.69/1.10 ordereqreflfact = 0
% 0.69/1.10
% 0.69/1.10 litselect = negord
% 0.69/1.10
% 0.69/1.10 maxweight = 15
% 0.69/1.10 maxdepth = 30000
% 0.69/1.10 maxlength = 115
% 0.69/1.10 maxnrvars = 195
% 0.69/1.10 excuselevel = 1
% 0.69/1.10 increasemaxweight = 1
% 0.69/1.10
% 0.69/1.10 maxselected = 10000000
% 0.69/1.10 maxnrclauses = 10000000
% 0.69/1.10
% 0.69/1.10 showgenerated = 0
% 0.69/1.10 showkept = 0
% 0.69/1.10 showselected = 0
% 0.69/1.10 showdeleted = 0
% 0.69/1.10 showresimp = 1
% 0.69/1.10 showstatus = 2000
% 0.69/1.10
% 0.69/1.10 prologoutput = 1
% 0.69/1.10 nrgoals = 5000000
% 0.69/1.10 totalproof = 1
% 0.69/1.10
% 0.69/1.10 Symbols occurring in the translation:
% 0.69/1.10
% 0.69/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.10 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.69/1.10 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.69/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 'double_divide' [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.69/1.10 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.69/1.10 multiply [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.10 inverse [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.69/1.10 a3 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.10 b3 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.69/1.10 c3 [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Starting Search:
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Bliksems!, er is een bewijs:
% 0.69/1.10 % SZS status Unsatisfiable
% 0.69/1.10 % SZS output start Refutation
% 0.69/1.10
% 0.69/1.10 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.10 multiply( X, Y ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.69/1.10 a3, b3 ), c3 ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.69/1.10 ), identity ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ), Z ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.69/1.10 )
% 0.69/1.10 .
% 0.69/1.10 clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( identity, Y ), inverse( inverse( X ) ) ) ), inverse(
% 0.69/1.10 identity ) ), Y ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 multiply( Y, X ), inverse( Y ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.10 )
% 0.69/1.10 .
% 0.69/1.10 clause( 14, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( inverse( X ), Y ), inverse( identity ) ) ), inverse(
% 0.69/1.10 identity ) ), Y ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 15, [ =( 'double_divide'( 'double_divide'( X, multiply( Y, inverse(
% 0.69/1.10 X ) ) ), inverse( identity ) ), 'double_divide'( identity, inverse( Y ) )
% 0.69/1.10 ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 18, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.10 inverse( inverse( X ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 22, [ =( 'double_divide'( multiply( Y, X ), inverse( identity ) ),
% 0.69/1.10 inverse( multiply( Y, X ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 27, [ =( 'double_divide'( 'double_divide'( X, inverse( inverse(
% 0.69/1.10 inverse( X ) ) ) ), inverse( identity ) ), identity ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 43, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 44, [ =( multiply( inverse( inverse( inverse( X ) ) ), X ),
% 0.69/1.10 identity ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 55, [ =( 'double_divide'( identity, inverse( Y ) ), Y ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 60, [ =( multiply( inverse( X ), identity ), inverse( X ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 61, [ =( 'double_divide'( identity, multiply( Y, X ) ),
% 0.69/1.10 'double_divide'( X, Y ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 62, [ =( multiply( multiply( Y, X ), identity ), multiply( Y, X ) )
% 0.69/1.10 ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 63, [ =( multiply( X, identity ), X ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 67, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) ),
% 0.69/1.10 identity ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 70, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 71, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 72, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 74, [ =( multiply( 'double_divide'( inverse( Y ), X ), X ), Y ) ]
% 0.69/1.10 )
% 0.69/1.10 .
% 0.69/1.10 clause( 77, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.69/1.10 )
% 0.69/1.10 .
% 0.69/1.10 clause( 90, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse( X )
% 0.69/1.10 , Y ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 91, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.69/1.10 )
% 0.69/1.10 .
% 0.69/1.10 clause( 92, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 99, [ =( multiply( 'double_divide'( 'double_divide'( Y, Z ),
% 0.69/1.10 multiply( X, Y ) ), X ), Z ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 114, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), Z ),
% 0.69/1.10 'double_divide'( Y, X ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 126, [ =( 'double_divide'( X, multiply( Y, Z ) ), 'double_divide'(
% 0.69/1.10 multiply( Z, X ), Y ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 141, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y, Z
% 0.69/1.10 ), X ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 142, [] )
% 0.69/1.10 .
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 % SZS output end Refutation
% 0.69/1.10 found a proof!
% 0.69/1.10
% 0.69/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.10
% 0.69/1.10 initialclauses(
% 0.69/1.10 [ clause( 144, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.10 , clause( 145, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.69/1.10 X ), identity ) ) ] )
% 0.69/1.10 , clause( 146, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.69/1.10 , clause( 147, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.10 , clause( 148, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.69/1.10 multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.10 ] ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.10 , clause( 144, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 151, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.10 multiply( X, Y ) ) ] )
% 0.69/1.10 , clause( 145, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.69/1.10 X ), identity ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.10 multiply( X, Y ) ) ] )
% 0.69/1.10 , clause( 151, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.10 multiply( X, Y ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 154, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , clause( 146, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , clause( 154, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 158, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.10 , clause( 147, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.10 , clause( 158, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 163, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.69/1.10 a3, b3 ), c3 ) ) ) ] )
% 0.69/1.10 , clause( 148, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.69/1.10 multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.69/1.10 a3, b3 ), c3 ) ) ) ] )
% 0.69/1.10 , clause( 163, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.69/1.10 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 166, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.10 multiply( X, Y ) ) ] )
% 0.69/1.10 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.69/1.10 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 , clause( 166, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.69/1.10 ] )
% 0.69/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 169, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.10 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 172, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.69/1.10 multiply( Y, X ) ) ) ] )
% 0.69/1.10 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 0, clause( 169, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.10 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.10 :=( X, 'double_divide'( X, Y ) )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 173, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.69/1.10 ) ), identity ) ] )
% 0.69/1.10 , clause( 172, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.69/1.10 multiply( Y, X ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.69/1.10 ), identity ) ] )
% 0.69/1.10 , clause( 173, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y,
% 0.69/1.10 X ) ), identity ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 175, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 178, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.10 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , 0, clause( 175, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.10 ) ] )
% 0.69/1.10 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.10 :=( Y, identity )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.10 , clause( 178, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 184, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), inverse( identity ) ), Z ) ] )
% 0.69/1.10 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.10 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.69/1.10 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 186, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ), Z ) ] )
% 0.69/1.10 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , 0, clause( 184, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), inverse( identity ) ), Z ) ] )
% 0.69/1.10 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.10 :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ), Z ) ] )
% 0.69/1.10 , clause( 186, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ), Z ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 189, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ) ) ] )
% 0.69/1.10 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ), Z ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 192, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.69/1.10 'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.69/1.10 ) ), identity ) ] )
% 0.69/1.10 , 0, clause( 189, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.69/1.10 Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.10 :=( X, Y ), :=( Y, X ), :=( Z, multiply( X, Y ) )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 194, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 identity, inverse( X ) ) ), inverse( identity ) ), multiply( X, Y ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 192, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.69/1.10 'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 194, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 identity, inverse( X ) ) ), inverse( identity ) ), multiply( X, Y ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 197, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ) ) ] )
% 0.69/1.10 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ), Z ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 199, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 'double_divide'( identity, X ), inverse( inverse( Y ) ) ) ), inverse(
% 0.69/1.10 identity ) ) ) ] )
% 0.69/1.10 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.10 , 0, clause( 197, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.69/1.10 Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.69/1.10 :=( Y, inverse( Y ) ), :=( Z, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 201, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 'double_divide'( identity, X ), inverse( inverse( Y ) ) ) ), inverse(
% 0.69/1.10 identity ) ), X ) ] )
% 0.69/1.10 , clause( 199, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 'double_divide'( identity, X ), inverse( inverse( Y ) ) ) ), inverse(
% 0.69/1.10 identity ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( identity, Y ), inverse( inverse( X ) ) ) ), inverse(
% 0.69/1.10 identity ) ), Y ) ] )
% 0.69/1.10 , clause( 201, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 'double_divide'( identity, X ), inverse( inverse( Y ) ) ) ), inverse(
% 0.69/1.10 identity ) ), X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 203, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ) ) ] )
% 0.69/1.10 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ), Z ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 205, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( inverse( 'double_divide'( X, Y ) ), inverse( Y ) ) ),
% 0.69/1.10 inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , 0, clause( 203, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.69/1.10 Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 6, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.69/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 207, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( multiply( Y, X ), inverse( Y ) ) ), inverse( identity )
% 0.69/1.10 ) ) ] )
% 0.69/1.10 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 0, clause( 205, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( inverse( 'double_divide'( X, Y ) ), inverse( Y ) ) ),
% 0.69/1.10 inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.10 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 208, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 multiply( Y, X ), inverse( Y ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 207, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( multiply( Y, X ), inverse( Y ) ) ), inverse( identity )
% 0.69/1.10 ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 multiply( Y, X ), inverse( Y ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 208, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 multiply( Y, X ), inverse( Y ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 210, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ) ) ] )
% 0.69/1.10 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ), Z ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 212, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 'double_divide'( inverse( Y ), X ), inverse( identity ) ) ), inverse(
% 0.69/1.10 identity ) ) ) ] )
% 0.69/1.10 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , 0, clause( 210, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.69/1.10 Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.69/1.10 :=( Y, identity ), :=( Z, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 214, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 'double_divide'( inverse( Y ), X ), inverse( identity ) ) ), inverse(
% 0.69/1.10 identity ) ), X ) ] )
% 0.69/1.10 , clause( 212, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 'double_divide'( inverse( Y ), X ), inverse( identity ) ) ), inverse(
% 0.69/1.10 identity ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 14, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( inverse( X ), Y ), inverse( identity ) ) ), inverse(
% 0.69/1.10 identity ) ), Y ) ] )
% 0.69/1.10 , clause( 214, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.10 'double_divide'( inverse( Y ), X ), inverse( identity ) ) ), inverse(
% 0.69/1.10 identity ) ), X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 216, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ) ) ] )
% 0.69/1.10 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.10 identity ) ), Z ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 218, [ =( 'double_divide'( identity, inverse( X ) ),
% 0.69/1.10 'double_divide'( 'double_divide'( Y, multiply( X, 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 0, clause( 216, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.69/1.10 Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( Y, identity ) ), :=( Y,
% 0.69/1.10 X )] ), substitution( 1, [ :=( X, Y ), :=( Y, identity ), :=( Z,
% 0.69/1.10 'double_divide'( identity, inverse( X ) ) )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 221, [ =( 'double_divide'( identity, inverse( X ) ),
% 0.69/1.10 'double_divide'( 'double_divide'( Y, multiply( X, inverse( Y ) ) ),
% 0.69/1.10 inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , 0, clause( 218, [ =( 'double_divide'( identity, inverse( X ) ),
% 0.69/1.10 'double_divide'( 'double_divide'( Y, multiply( X, 'double_divide'( Y,
% 0.69/1.10 identity ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.10 :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 222, [ =( 'double_divide'( 'double_divide'( Y, multiply( X, inverse(
% 0.69/1.10 Y ) ) ), inverse( identity ) ), 'double_divide'( identity, inverse( X ) )
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 221, [ =( 'double_divide'( identity, inverse( X ) ),
% 0.69/1.10 'double_divide'( 'double_divide'( Y, multiply( X, inverse( Y ) ) ),
% 0.69/1.10 inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 15, [ =( 'double_divide'( 'double_divide'( X, multiply( Y, inverse(
% 0.69/1.10 X ) ) ), inverse( identity ) ), 'double_divide'( identity, inverse( Y ) )
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 222, [ =( 'double_divide'( 'double_divide'( Y, multiply( X,
% 0.69/1.10 inverse( Y ) ) ), inverse( identity ) ), 'double_divide'( identity,
% 0.69/1.10 inverse( X ) ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 224, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'( X,
% 0.69/1.10 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.10 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 227, [ =( multiply( identity, X ), 'double_divide'( 'double_divide'(
% 0.69/1.10 X, identity ), inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.10 , 0, clause( 224, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'(
% 0.69/1.10 X, 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.69/1.10 X ), :=( Y, identity )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 228, [ =( multiply( identity, X ), 'double_divide'( inverse( X ),
% 0.69/1.10 inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.10 , 0, clause( 227, [ =( multiply( identity, X ), 'double_divide'(
% 0.69/1.10 'double_divide'( X, identity ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 229, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X ),
% 0.69/1.10 inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.10 , 0, clause( 228, [ =( multiply( identity, X ), 'double_divide'( inverse( X
% 0.69/1.10 ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 230, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.10 inverse( inverse( X ) ) ) ] )
% 0.69/1.10 , clause( 229, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X )
% 0.69/1.10 , inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 18, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.10 inverse( inverse( X ) ) ) ] )
% 0.69/1.10 , clause( 230, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.10 inverse( inverse( X ) ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 232, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X ),
% 0.69/1.10 inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 18, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.10 inverse( inverse( X ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 236, [ =( inverse( inverse( 'double_divide'( X, Y ) ) ),
% 0.69/1.10 'double_divide'( multiply( Y, X ), inverse( identity ) ) ) ] )
% 0.69/1.10 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 0, clause( 232, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X
% 0.69/1.10 ), inverse( identity ) ) ) ] )
% 0.69/1.10 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, 'double_divide'( X, Y ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 237, [ =( inverse( multiply( Y, X ) ), 'double_divide'( multiply( Y
% 0.69/1.11 , X ), inverse( identity ) ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 236, [ =( inverse( inverse( 'double_divide'( X, Y ) ) ),
% 0.69/1.11 'double_divide'( multiply( Y, X ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 239, [ =( 'double_divide'( multiply( X, Y ), inverse( identity ) )
% 0.69/1.11 , inverse( multiply( X, Y ) ) ) ] )
% 0.69/1.11 , clause( 237, [ =( inverse( multiply( Y, X ) ), 'double_divide'( multiply(
% 0.69/1.11 Y, X ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 22, [ =( 'double_divide'( multiply( Y, X ), inverse( identity ) ),
% 0.69/1.11 inverse( multiply( Y, X ) ) ) ] )
% 0.69/1.11 , clause( 239, [ =( 'double_divide'( multiply( X, Y ), inverse( identity )
% 0.69/1.11 ), inverse( multiply( X, Y ) ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 242, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( multiply( Y, X ), inverse( Y ) ) ), inverse( identity )
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 multiply( Y, X ), inverse( Y ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 244, [ =( identity, 'double_divide'( 'double_divide'( X, inverse(
% 0.69/1.11 multiply( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , clause( 22, [ =( 'double_divide'( multiply( Y, X ), inverse( identity ) )
% 0.69/1.11 , inverse( multiply( Y, X ) ) ) ] )
% 0.69/1.11 , 0, clause( 242, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( multiply( Y, X ), inverse( Y ) ) ), inverse( identity )
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.69/1.11 1, [ :=( X, X ), :=( Y, identity )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 245, [ =( identity, 'double_divide'( 'double_divide'( X, inverse(
% 0.69/1.11 inverse( inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.11 , 0, clause( 244, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 inverse( multiply( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 246, [ =( 'double_divide'( 'double_divide'( X, inverse( inverse(
% 0.69/1.11 inverse( X ) ) ) ), inverse( identity ) ), identity ) ] )
% 0.69/1.11 , clause( 245, [ =( identity, 'double_divide'( 'double_divide'( X, inverse(
% 0.69/1.11 inverse( inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 27, [ =( 'double_divide'( 'double_divide'( X, inverse( inverse(
% 0.69/1.11 inverse( X ) ) ) ), inverse( identity ) ), identity ) ] )
% 0.69/1.11 , clause( 246, [ =( 'double_divide'( 'double_divide'( X, inverse( inverse(
% 0.69/1.11 inverse( X ) ) ) ), inverse( identity ) ), identity ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 248, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( inverse( X ), Y ), inverse( identity ) ) ), inverse(
% 0.69/1.11 identity ) ) ) ] )
% 0.69/1.11 , clause( 14, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( inverse( X ), Y ), inverse( identity ) ) ), inverse(
% 0.69/1.11 identity ) ), Y ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 251, [ =( inverse( identity ), 'double_divide'( 'double_divide'( X
% 0.69/1.11 , 'double_divide'( inverse( inverse( X ) ), inverse( identity ) ) ),
% 0.69/1.11 inverse( identity ) ) ) ] )
% 0.69/1.11 , clause( 18, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.11 inverse( inverse( X ) ) ) ] )
% 0.69/1.11 , 0, clause( 248, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( 'double_divide'( inverse( X ), Y ), inverse( identity )
% 0.69/1.11 ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.11 :=( Y, inverse( identity ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 253, [ =( inverse( identity ), 'double_divide'( 'double_divide'( X
% 0.69/1.11 , inverse( inverse( inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , clause( 18, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.11 inverse( inverse( X ) ) ) ] )
% 0.69/1.11 , 0, clause( 251, [ =( inverse( identity ), 'double_divide'(
% 0.69/1.11 'double_divide'( X, 'double_divide'( inverse( inverse( X ) ), inverse(
% 0.69/1.11 identity ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.69/1.11 :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 254, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , clause( 27, [ =( 'double_divide'( 'double_divide'( X, inverse( inverse(
% 0.69/1.11 inverse( X ) ) ) ), inverse( identity ) ), identity ) ] )
% 0.69/1.11 , 0, clause( 253, [ =( inverse( identity ), 'double_divide'(
% 0.69/1.11 'double_divide'( X, inverse( inverse( inverse( X ) ) ) ), inverse(
% 0.69/1.11 identity ) ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , clause( 254, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 257, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( inverse( X ), Y ), inverse( identity ) ) ), inverse(
% 0.69/1.11 identity ) ) ) ] )
% 0.69/1.11 , clause( 14, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( inverse( X ), Y ), inverse( identity ) ) ), inverse(
% 0.69/1.11 identity ) ), Y ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 266, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 'double_divide'( inverse( Y ), X ), inverse( identity ) ) ), identity ) )
% 0.69/1.11 ] )
% 0.69/1.11 , clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , 0, clause( 257, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( 'double_divide'( inverse( X ), Y ), inverse( identity )
% 0.69/1.11 ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 267, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 'double_divide'( inverse( Y ), X ), identity ) ), identity ) ) ] )
% 0.69/1.11 , clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , 0, clause( 266, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.69/1.11 'double_divide'( 'double_divide'( inverse( Y ), X ), inverse( identity )
% 0.69/1.11 ) ), identity ) ) ] )
% 0.69/1.11 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 274, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.69/1.11 'double_divide'( inverse( Y ), X ) ) ), identity ) ) ] )
% 0.69/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 267, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.69/1.11 'double_divide'( 'double_divide'( inverse( Y ), X ), identity ) ),
% 0.69/1.11 identity ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( inverse( Y ), X ) )] ),
% 0.69/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 276, [ =( X, 'double_divide'( 'double_divide'( Y, multiply( X,
% 0.69/1.11 inverse( Y ) ) ), identity ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 274, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.69/1.11 'double_divide'( inverse( Y ), X ) ) ), identity ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) )] ),
% 0.69/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 277, [ =( X, inverse( 'double_divide'( Y, multiply( X, inverse( Y )
% 0.69/1.11 ) ) ) ) ] )
% 0.69/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 276, [ =( X, 'double_divide'( 'double_divide'( Y, multiply( X
% 0.69/1.11 , inverse( Y ) ) ), identity ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( Y, multiply( X, inverse(
% 0.69/1.11 Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 278, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 277, [ =( X, inverse( 'double_divide'( Y, multiply( X, inverse(
% 0.69/1.11 Y ) ) ) ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y )] )
% 0.69/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 279, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.69/1.11 , clause( 278, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 43, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.69/1.11 , clause( 279, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 281, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( multiply( Y, X ), inverse( Y ) ) ), inverse( identity )
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 multiply( Y, X ), inverse( Y ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 287, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( multiply( identity, X ), inverse( identity ) ) ),
% 0.69/1.11 identity ) ) ] )
% 0.69/1.11 , clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , 0, clause( 281, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( multiply( Y, X ), inverse( Y ) ) ), inverse( identity )
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.69/1.11 identity )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 289, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( multiply( identity, X ), identity ) ), identity ) ) ] )
% 0.69/1.11 , clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , 0, clause( 287, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( multiply( identity, X ), inverse( identity ) ) ),
% 0.69/1.11 identity ) ) ] )
% 0.69/1.11 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 294, [ =( identity, inverse( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 multiply( identity, X ), identity ) ) ) ) ] )
% 0.69/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 289, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( multiply( identity, X ), identity ) ), identity ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( X, 'double_divide'(
% 0.69/1.11 multiply( identity, X ), identity ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 298, [ =( identity, multiply( 'double_divide'( multiply( identity,
% 0.69/1.11 X ), identity ), X ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 294, [ =( identity, inverse( 'double_divide'( X,
% 0.69/1.11 'double_divide'( multiply( identity, X ), identity ) ) ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( multiply( identity, X )
% 0.69/1.11 , identity ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 299, [ =( identity, multiply( inverse( multiply( identity, X ) ), X
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 298, [ =( identity, multiply( 'double_divide'( multiply(
% 0.69/1.11 identity, X ), identity ), X ) ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [ :=( X, multiply( identity, X ) )] ),
% 0.69/1.11 substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 300, [ =( identity, multiply( inverse( inverse( inverse( X ) ) ), X
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.11 , 0, clause( 299, [ =( identity, multiply( inverse( multiply( identity, X )
% 0.69/1.11 ), X ) ) ] )
% 0.69/1.11 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 301, [ =( multiply( inverse( inverse( inverse( X ) ) ), X ),
% 0.69/1.11 identity ) ] )
% 0.69/1.11 , clause( 300, [ =( identity, multiply( inverse( inverse( inverse( X ) ) )
% 0.69/1.11 , X ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 44, [ =( multiply( inverse( inverse( inverse( X ) ) ), X ),
% 0.69/1.11 identity ) ] )
% 0.69/1.11 , clause( 301, [ =( multiply( inverse( inverse( inverse( X ) ) ), X ),
% 0.69/1.11 identity ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 307, [ =( 'double_divide'( 'double_divide'( X, multiply( Y, inverse(
% 0.69/1.11 X ) ) ), identity ), 'double_divide'( identity, inverse( Y ) ) ) ] )
% 0.69/1.11 , clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , 0, clause( 15, [ =( 'double_divide'( 'double_divide'( X, multiply( Y,
% 0.69/1.11 inverse( X ) ) ), inverse( identity ) ), 'double_divide'( identity,
% 0.69/1.11 inverse( Y ) ) ) ] )
% 0.69/1.11 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 308, [ =( inverse( 'double_divide'( X, multiply( Y, inverse( X ) )
% 0.69/1.11 ) ), 'double_divide'( identity, inverse( Y ) ) ) ] )
% 0.69/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 307, [ =( 'double_divide'( 'double_divide'( X, multiply( Y,
% 0.69/1.11 inverse( X ) ) ), identity ), 'double_divide'( identity, inverse( Y ) ) )
% 0.69/1.11 ] )
% 0.69/1.11 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, multiply( Y, inverse(
% 0.69/1.11 X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 309, [ =( multiply( multiply( Y, inverse( X ) ), X ),
% 0.69/1.11 'double_divide'( identity, inverse( Y ) ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 308, [ =( inverse( 'double_divide'( X, multiply( Y, inverse( X
% 0.69/1.11 ) ) ) ), 'double_divide'( identity, inverse( Y ) ) ) ] )
% 0.69/1.11 , 0, 1, substitution( 0, [ :=( X, multiply( Y, inverse( X ) ) ), :=( Y, X )] )
% 0.69/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 310, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.69/1.11 , clause( 43, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.69/1.11 , 0, clause( 309, [ =( multiply( multiply( Y, inverse( X ) ), X ),
% 0.69/1.11 'double_divide'( identity, inverse( Y ) ) ) ] )
% 0.69/1.11 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 311, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.69/1.11 , clause( 310, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 55, [ =( 'double_divide'( identity, inverse( Y ) ), Y ) ] )
% 0.69/1.11 , clause( 311, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 313, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 316, [ =( multiply( inverse( X ), identity ), inverse( X ) ) ] )
% 0.69/1.11 , clause( 55, [ =( 'double_divide'( identity, inverse( Y ) ), Y ) ] )
% 0.69/1.11 , 0, clause( 313, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.11 ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, identity ), :=( Y, inverse( X ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 60, [ =( multiply( inverse( X ), identity ), inverse( X ) ) ] )
% 0.69/1.11 , clause( 316, [ =( multiply( inverse( X ), identity ), inverse( X ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 319, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.69/1.11 , clause( 55, [ =( 'double_divide'( identity, inverse( Y ) ), Y ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 322, [ =( 'double_divide'( X, Y ), 'double_divide'( identity,
% 0.69/1.11 multiply( Y, X ) ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 319, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, 'double_divide'( X, Y ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 323, [ =( 'double_divide'( identity, multiply( Y, X ) ),
% 0.69/1.11 'double_divide'( X, Y ) ) ] )
% 0.69/1.11 , clause( 322, [ =( 'double_divide'( X, Y ), 'double_divide'( identity,
% 0.69/1.11 multiply( Y, X ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 61, [ =( 'double_divide'( identity, multiply( Y, X ) ),
% 0.69/1.11 'double_divide'( X, Y ) ) ] )
% 0.69/1.11 , clause( 323, [ =( 'double_divide'( identity, multiply( Y, X ) ),
% 0.69/1.11 'double_divide'( X, Y ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 325, [ =( inverse( X ), multiply( inverse( X ), identity ) ) ] )
% 0.69/1.11 , clause( 60, [ =( multiply( inverse( X ), identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 329, [ =( inverse( 'double_divide'( X, Y ) ), multiply( multiply( Y
% 0.69/1.11 , X ), identity ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 325, [ =( inverse( X ), multiply( inverse( X ), identity ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, 'double_divide'( X, Y ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 330, [ =( multiply( Y, X ), multiply( multiply( Y, X ), identity )
% 0.69/1.11 ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 329, [ =( inverse( 'double_divide'( X, Y ) ), multiply(
% 0.69/1.11 multiply( Y, X ), identity ) ) ] )
% 0.69/1.11 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 332, [ =( multiply( multiply( X, Y ), identity ), multiply( X, Y )
% 0.69/1.11 ) ] )
% 0.69/1.11 , clause( 330, [ =( multiply( Y, X ), multiply( multiply( Y, X ), identity
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 62, [ =( multiply( multiply( Y, X ), identity ), multiply( Y, X ) )
% 0.69/1.11 ] )
% 0.69/1.11 , clause( 332, [ =( multiply( multiply( X, Y ), identity ), multiply( X, Y
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 334, [ =( multiply( X, Y ), multiply( multiply( X, Y ), identity )
% 0.69/1.11 ) ] )
% 0.69/1.11 , clause( 62, [ =( multiply( multiply( Y, X ), identity ), multiply( Y, X )
% 0.69/1.11 ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 339, [ =( multiply( X, inverse( identity ) ), X ) ] )
% 0.69/1.11 , clause( 43, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.69/1.11 , 0, clause( 334, [ =( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.69/1.11 identity ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 0.69/1.11 1, [ :=( X, X ), :=( Y, inverse( identity ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 341, [ =( multiply( X, identity ), X ) ] )
% 0.69/1.11 , clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , 0, clause( 339, [ =( multiply( X, inverse( identity ) ), X ) ] )
% 0.69/1.11 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 63, [ =( multiply( X, identity ), X ) ] )
% 0.69/1.11 , clause( 341, [ =( multiply( X, identity ), X ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 344, [ =( 'double_divide'( Y, X ), 'double_divide'( identity,
% 0.69/1.11 multiply( X, Y ) ) ) ] )
% 0.69/1.11 , clause( 61, [ =( 'double_divide'( identity, multiply( Y, X ) ),
% 0.69/1.11 'double_divide'( X, Y ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 347, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) )
% 0.69/1.11 , 'double_divide'( identity, identity ) ) ] )
% 0.69/1.11 , clause( 44, [ =( multiply( inverse( inverse( inverse( X ) ) ), X ),
% 0.69/1.11 identity ) ] )
% 0.69/1.11 , 0, clause( 344, [ =( 'double_divide'( Y, X ), 'double_divide'( identity,
% 0.69/1.11 multiply( X, Y ) ) ) ] )
% 0.69/1.11 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.11 inverse( inverse( X ) ) ) ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 348, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) )
% 0.69/1.11 , inverse( identity ) ) ] )
% 0.69/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 347, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) )
% 0.69/1.11 ) ), 'double_divide'( identity, identity ) ) ] )
% 0.69/1.11 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.69/1.11 X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 349, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) )
% 0.69/1.11 , identity ) ] )
% 0.69/1.11 , clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , 0, clause( 348, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) )
% 0.69/1.11 ) ), inverse( identity ) ) ] )
% 0.69/1.11 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 67, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) ),
% 0.69/1.11 identity ) ] )
% 0.69/1.11 , clause( 349, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) )
% 0.69/1.11 ), identity ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 352, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( identity, Y ), inverse( inverse( X ) ) ) ), inverse(
% 0.69/1.11 identity ) ) ) ] )
% 0.69/1.11 , clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( identity, Y ), inverse( inverse( X ) ) ) ), inverse(
% 0.69/1.11 identity ) ), Y ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 357, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.69/1.11 'double_divide'( identity, X ) ), identity ), inverse( identity ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 67, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) )
% 0.69/1.11 , identity ) ] )
% 0.69/1.11 , 0, clause( 352, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( 'double_divide'( identity, Y ), inverse( inverse( X ) )
% 0.69/1.11 ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.69/1.11 substitution( 1, [ :=( X, inverse( 'double_divide'( identity, X ) ) ),
% 0.69/1.11 :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 359, [ =( X, 'double_divide'( inverse( inverse( 'double_divide'(
% 0.69/1.11 identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 357, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.69/1.11 'double_divide'( identity, X ) ), identity ), inverse( identity ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, 3, substitution( 0, [ :=( X, inverse( 'double_divide'( identity, X ) )
% 0.69/1.11 )] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 360, [ =( X, inverse( inverse( inverse( 'double_divide'( identity,
% 0.69/1.11 X ) ) ) ) ) ] )
% 0.69/1.11 , clause( 18, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.11 inverse( inverse( X ) ) ) ] )
% 0.69/1.11 , 0, clause( 359, [ =( X, 'double_divide'( inverse( inverse(
% 0.69/1.11 'double_divide'( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, inverse( 'double_divide'( identity, X ) )
% 0.69/1.11 )] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 361, [ =( X, inverse( inverse( multiply( X, identity ) ) ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 360, [ =( X, inverse( inverse( inverse( 'double_divide'(
% 0.69/1.11 identity, X ) ) ) ) ) ] )
% 0.69/1.11 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.69/1.11 1, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 362, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.11 , clause( 63, [ =( multiply( X, identity ), X ) ] )
% 0.69/1.11 , 0, clause( 361, [ =( X, inverse( inverse( multiply( X, identity ) ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 363, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.11 , clause( 362, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 70, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.11 , clause( 363, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 365, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.69/1.11 , clause( 55, [ =( 'double_divide'( identity, inverse( Y ) ), Y ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 366, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.69/1.11 , clause( 70, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.11 , 0, clause( 365, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.11 X ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 367, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.11 , clause( 366, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 71, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.11 , clause( 367, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 369, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.11 , clause( 43, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 370, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.11 , clause( 70, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.11 , 0, clause( 369, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.11 :=( Y, inverse( Y ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 371, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.69/1.11 , clause( 370, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 72, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.69/1.11 , clause( 371, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 373, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( identity, Y ), inverse( inverse( X ) ) ) ), inverse(
% 0.69/1.11 identity ) ) ) ] )
% 0.69/1.11 , clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( identity, Y ), inverse( inverse( X ) ) ) ), inverse(
% 0.69/1.11 identity ) ), Y ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 378, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 'double_divide'( identity, X ), Y ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , clause( 70, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.11 , 0, clause( 373, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( 'double_divide'( identity, Y ), inverse( inverse( X ) )
% 0.69/1.11 ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.69/1.11 :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 379, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 inverse( X ), Y ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , clause( 71, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 378, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.69/1.11 'double_divide'( 'double_divide'( identity, X ), Y ) ), inverse( identity
% 0.69/1.11 ) ) ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.11 :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 380, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 inverse( X ), Y ) ), identity ) ) ] )
% 0.69/1.11 , clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , 0, clause( 379, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.69/1.11 'double_divide'( inverse( X ), Y ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 381, [ =( X, inverse( 'double_divide'( Y, 'double_divide'( inverse(
% 0.69/1.11 X ), Y ) ) ) ) ] )
% 0.69/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 380, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.69/1.11 'double_divide'( inverse( X ), Y ) ), identity ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 inverse( X ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 382, [ =( X, multiply( 'double_divide'( inverse( X ), Y ), Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 381, [ =( X, inverse( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 inverse( X ), Y ) ) ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( inverse( X ), Y ) ),
% 0.69/1.11 :=( Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 383, [ =( multiply( 'double_divide'( inverse( X ), Y ), Y ), X ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 382, [ =( X, multiply( 'double_divide'( inverse( X ), Y ), Y ) )
% 0.69/1.11 ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 74, [ =( multiply( 'double_divide'( inverse( Y ), X ), X ), Y ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 383, [ =( multiply( 'double_divide'( inverse( X ), Y ), Y ), X )
% 0.69/1.11 ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 385, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.11 , clause( 70, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 386, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 385, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, 'double_divide'( X, Y ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 387, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 386, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 0.69/1.11 ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 77, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 387, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 0.69/1.11 ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 389, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.11 , clause( 72, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 390, [ =( 'double_divide'( inverse( X ), Y ), multiply( X, inverse(
% 0.69/1.11 Y ) ) ) ] )
% 0.69/1.11 , clause( 74, [ =( multiply( 'double_divide'( inverse( Y ), X ), X ), Y ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 389, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, 'double_divide'( inverse( X ), Y ) ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 391, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse( X
% 0.69/1.11 ), Y ) ) ] )
% 0.69/1.11 , clause( 390, [ =( 'double_divide'( inverse( X ), Y ), multiply( X,
% 0.69/1.11 inverse( Y ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 90, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse( X )
% 0.69/1.11 , Y ) ) ] )
% 0.69/1.11 , clause( 391, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse(
% 0.69/1.11 X ), Y ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 393, [ =( X, multiply( 'double_divide'( inverse( X ), Y ), Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 74, [ =( multiply( 'double_divide'( inverse( Y ), X ), X ), Y ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 394, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 70, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.11 , 0, clause( 393, [ =( X, multiply( 'double_divide'( inverse( X ), Y ), Y )
% 0.69/1.11 ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.11 X ) ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 395, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 394, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y ) )
% 0.69/1.11 ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 91, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 395, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) )
% 0.69/1.11 ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 397, [ =( 'double_divide'( Y, X ), inverse( multiply( X, Y ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 77, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 400, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), inverse(
% 0.69/1.11 inverse( Y ) ) ) ] )
% 0.69/1.11 , clause( 91, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 397, [ =( 'double_divide'( Y, X ), inverse( multiply( X, Y ) )
% 0.69/1.11 ) ] )
% 0.69/1.11 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, 'double_divide'( Y, X ) ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 401, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.69/1.11 , clause( 70, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.11 , 0, clause( 400, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ),
% 0.69/1.11 inverse( inverse( Y ) ) ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.11 :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 92, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.69/1.11 , clause( 401, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 404, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.11 identity ) ) ) ] )
% 0.69/1.11 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.11 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.11 identity ) ), Z ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 412, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 'double_divide'( Z, X ), inverse( 'double_divide'( Z, Y ) ) ) ), inverse(
% 0.69/1.11 identity ) ) ) ] )
% 0.69/1.11 , clause( 92, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.69/1.11 , 0, clause( 404, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.69/1.11 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.69/1.11 Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.11 :=( X, Y ), :=( Y, 'double_divide'( Z, Y ) ), :=( Z, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 413, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 'double_divide'( Z, X ), multiply( Y, Z ) ) ), inverse( identity ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 412, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.69/1.11 'double_divide'( 'double_divide'( Z, X ), inverse( 'double_divide'( Z, Y
% 0.69/1.11 ) ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.11 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 414, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 'double_divide'( Z, X ), multiply( Y, Z ) ) ), identity ) ) ] )
% 0.69/1.11 , clause( 33, [ =( inverse( identity ), identity ) ] )
% 0.69/1.11 , 0, clause( 413, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.69/1.11 'double_divide'( 'double_divide'( Z, X ), multiply( Y, Z ) ) ), inverse(
% 0.69/1.11 identity ) ) ) ] )
% 0.69/1.11 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.69/1.11 :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 415, [ =( X, inverse( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 'double_divide'( Z, X ), multiply( Y, Z ) ) ) ) ) ] )
% 0.69/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.11 , 0, clause( 414, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.69/1.11 'double_divide'( 'double_divide'( Z, X ), multiply( Y, Z ) ) ), identity
% 0.69/1.11 ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 'double_divide'( Z, X ), multiply( Y, Z ) ) ) )] ), substitution( 1, [
% 0.69/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 416, [ =( X, multiply( 'double_divide'( 'double_divide'( Z, X ),
% 0.69/1.11 multiply( Y, Z ) ), Y ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 415, [ =( X, inverse( 'double_divide'( Y, 'double_divide'(
% 0.69/1.11 'double_divide'( Z, X ), multiply( Y, Z ) ) ) ) ) ] )
% 0.69/1.11 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'( Z, X )
% 0.69/1.11 , multiply( Y, Z ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.11 :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 417, [ =( multiply( 'double_divide'( 'double_divide'( Y, X ),
% 0.69/1.11 multiply( Z, Y ) ), Z ), X ) ] )
% 0.69/1.11 , clause( 416, [ =( X, multiply( 'double_divide'( 'double_divide'( Z, X ),
% 0.69/1.11 multiply( Y, Z ) ), Y ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 99, [ =( multiply( 'double_divide'( 'double_divide'( Y, Z ),
% 0.69/1.11 multiply( X, Y ) ), X ), Z ) ] )
% 0.69/1.11 , clause( 417, [ =( multiply( 'double_divide'( 'double_divide'( Y, X ),
% 0.69/1.11 multiply( Z, Y ) ), Z ), X ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.69/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 419, [ =( Y, multiply( 'double_divide'( 'double_divide'( X, Y ),
% 0.69/1.11 multiply( Z, X ) ), Z ) ) ] )
% 0.69/1.11 , clause( 99, [ =( multiply( 'double_divide'( 'double_divide'( Y, Z ),
% 0.69/1.11 multiply( X, Y ) ), X ), Z ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 420, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'( X,
% 0.69/1.11 multiply( Z, Y ) ), Z ) ) ] )
% 0.69/1.11 , clause( 92, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.69/1.11 , 0, clause( 419, [ =( Y, multiply( 'double_divide'( 'double_divide'( X, Y
% 0.69/1.11 ), multiply( Z, X ) ), Z ) ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.11 :=( X, Y ), :=( Y, 'double_divide'( X, Y ) ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 421, [ =( multiply( 'double_divide'( X, multiply( Z, Y ) ), Z ),
% 0.69/1.11 'double_divide'( X, Y ) ) ] )
% 0.69/1.11 , clause( 420, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'( X,
% 0.69/1.11 multiply( Z, Y ) ), Z ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 114, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), Z ),
% 0.69/1.11 'double_divide'( Y, X ) ) ] )
% 0.69/1.11 , clause( 421, [ =( multiply( 'double_divide'( X, multiply( Z, Y ) ), Z ),
% 0.69/1.11 'double_divide'( X, Y ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.69/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 423, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.11 , clause( 72, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 427, [ =( 'double_divide'( X, multiply( Y, Z ) ), multiply(
% 0.69/1.11 'double_divide'( X, Z ), inverse( Y ) ) ) ] )
% 0.69/1.11 , clause( 114, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), Z ),
% 0.69/1.11 'double_divide'( Y, X ) ) ] )
% 0.69/1.11 , 0, clause( 423, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.11 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.69/1.11 substitution( 1, [ :=( X, 'double_divide'( X, multiply( Y, Z ) ) ), :=( Y
% 0.69/1.11 , Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 428, [ =( 'double_divide'( X, multiply( Y, Z ) ), 'double_divide'(
% 0.69/1.11 inverse( 'double_divide'( X, Z ) ), Y ) ) ] )
% 0.69/1.11 , clause( 90, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse( X
% 0.69/1.11 ), Y ) ) ] )
% 0.69/1.11 , 0, clause( 427, [ =( 'double_divide'( X, multiply( Y, Z ) ), multiply(
% 0.69/1.11 'double_divide'( X, Z ), inverse( Y ) ) ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, 'double_divide'( X, Z ) ), :=( Y, Y )] )
% 0.69/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 429, [ =( 'double_divide'( X, multiply( Y, Z ) ), 'double_divide'(
% 0.69/1.11 multiply( Z, X ), Y ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 428, [ =( 'double_divide'( X, multiply( Y, Z ) ),
% 0.69/1.11 'double_divide'( inverse( 'double_divide'( X, Z ) ), Y ) ) ] )
% 0.69/1.11 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 126, [ =( 'double_divide'( X, multiply( Y, Z ) ), 'double_divide'(
% 0.69/1.11 multiply( Z, X ), Y ) ) ] )
% 0.69/1.11 , clause( 429, [ =( 'double_divide'( X, multiply( Y, Z ) ), 'double_divide'(
% 0.69/1.11 multiply( Z, X ), Y ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 432, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 434, [ =( multiply( multiply( X, Y ), Z ), inverse( 'double_divide'(
% 0.69/1.11 multiply( Y, Z ), X ) ) ) ] )
% 0.69/1.11 , clause( 126, [ =( 'double_divide'( X, multiply( Y, Z ) ), 'double_divide'(
% 0.69/1.11 multiply( Z, X ), Y ) ) ] )
% 0.69/1.11 , 0, clause( 432, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.11 ) ] )
% 0.69/1.11 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.69/1.11 substitution( 1, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 435, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.69/1.11 , Z ) ) ) ] )
% 0.69/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.11 )
% 0.69/1.11 , 0, clause( 434, [ =( multiply( multiply( X, Y ), Z ), inverse(
% 0.69/1.11 'double_divide'( multiply( Y, Z ), X ) ) ) ] )
% 0.69/1.11 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] ),
% 0.69/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 436, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.69/1.11 ), Z ) ) ] )
% 0.69/1.11 , clause( 435, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.69/1.11 Y, Z ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 141, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y, Z
% 0.69/1.11 ), X ) ) ] )
% 0.69/1.11 , clause( 436, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.69/1.11 , Y ), Z ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.69/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 437, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.69/1.11 , Z ) ) ) ] )
% 0.69/1.11 , clause( 141, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y
% 0.69/1.11 , Z ), X ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 438, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.69/1.11 multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.11 , clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.69/1.11 a3, b3 ), c3 ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 439, [] )
% 0.69/1.11 , clause( 438, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.69/1.11 multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.11 , 0, clause( 437, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.69/1.11 multiply( Y, Z ) ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ),
% 0.69/1.11 :=( Z, c3 )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 142, [] )
% 0.69/1.11 , clause( 439, [] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 end.
% 0.69/1.11
% 0.69/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.11
% 0.69/1.11 Memory use:
% 0.69/1.11
% 0.69/1.11 space for terms: 1648
% 0.69/1.11 space for clauses: 16522
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 clauses generated: 1059
% 0.69/1.11 clauses kept: 143
% 0.69/1.11 clauses selected: 49
% 0.69/1.11 clauses deleted: 36
% 0.69/1.11 clauses inuse deleted: 0
% 0.69/1.11
% 0.69/1.11 subsentry: 742
% 0.69/1.11 literals s-matched: 229
% 0.69/1.11 literals matched: 229
% 0.69/1.11 full subsumption: 0
% 0.69/1.11
% 0.69/1.11 checksum: 2056883894
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Bliksem ended
%------------------------------------------------------------------------------