TSTP Solution File: GRP492-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 07:37:17 EDT 2022
% Result : Unsatisfiable 0.73s 1.13s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Tue Jun 14 04:22:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13 [
% 0.73/1.13 [ =( 'double_divide'( 'double_divide'( identity, X ), 'double_divide'(
% 0.73/1.13 identity, 'double_divide'( 'double_divide'( 'double_divide'( X, Y ),
% 0.73/1.13 identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ],
% 0.73/1.13 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.73/1.13 identity ) ) ],
% 0.73/1.13 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.73/1.13 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.73/1.13 [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.73/1.13 c3 ) ) ) ) ]
% 0.73/1.13 ] .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.13 This is a pure equality problem
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Options Used:
% 0.73/1.13
% 0.73/1.13 useres = 1
% 0.73/1.13 useparamod = 1
% 0.73/1.13 useeqrefl = 1
% 0.73/1.13 useeqfact = 1
% 0.73/1.13 usefactor = 1
% 0.73/1.13 usesimpsplitting = 0
% 0.73/1.13 usesimpdemod = 5
% 0.73/1.13 usesimpres = 3
% 0.73/1.13
% 0.73/1.13 resimpinuse = 1000
% 0.73/1.13 resimpclauses = 20000
% 0.73/1.13 substype = eqrewr
% 0.73/1.13 backwardsubs = 1
% 0.73/1.13 selectoldest = 5
% 0.73/1.13
% 0.73/1.13 litorderings [0] = split
% 0.73/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.13
% 0.73/1.13 termordering = kbo
% 0.73/1.13
% 0.73/1.13 litapriori = 0
% 0.73/1.13 termapriori = 1
% 0.73/1.13 litaposteriori = 0
% 0.73/1.13 termaposteriori = 0
% 0.73/1.13 demodaposteriori = 0
% 0.73/1.13 ordereqreflfact = 0
% 0.73/1.13
% 0.73/1.13 litselect = negord
% 0.73/1.13
% 0.73/1.13 maxweight = 15
% 0.73/1.13 maxdepth = 30000
% 0.73/1.13 maxlength = 115
% 0.73/1.13 maxnrvars = 195
% 0.73/1.13 excuselevel = 1
% 0.73/1.13 increasemaxweight = 1
% 0.73/1.13
% 0.73/1.13 maxselected = 10000000
% 0.73/1.13 maxnrclauses = 10000000
% 0.73/1.13
% 0.73/1.13 showgenerated = 0
% 0.73/1.13 showkept = 0
% 0.73/1.13 showselected = 0
% 0.73/1.13 showdeleted = 0
% 0.73/1.13 showresimp = 1
% 0.73/1.13 showstatus = 2000
% 0.73/1.13
% 0.73/1.13 prologoutput = 1
% 0.73/1.13 nrgoals = 5000000
% 0.73/1.13 totalproof = 1
% 0.73/1.13
% 0.73/1.13 Symbols occurring in the translation:
% 0.73/1.13
% 0.73/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.13 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.13 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.73/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.13 'double_divide' [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.13 multiply [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.13 inverse [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.13 a3 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.13 b3 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.13 c3 [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Starting Search:
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksems!, er is een bewijs:
% 0.73/1.13 % SZS status Unsatisfiable
% 0.73/1.13 % SZS output start Refutation
% 0.73/1.13
% 0.73/1.13 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.73/1.13 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.73/1.13 )
% 0.73/1.13 .
% 0.73/1.13 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.73/1.13 multiply( X, Y ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.73/1.13 a3, b3 ), c3 ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 11, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.73/1.13 inverse( Y ) ) ) ), Y ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 14, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.73/1.13 ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 17, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 24, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.73/1.13 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 25, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.73/1.13 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 26, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.73/1.13 ), identity ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 28, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 32, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 34, [ =( 'double_divide'( identity, 'double_divide'( identity, X )
% 0.73/1.13 ), X ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 35, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 42, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 .
% 0.73/1.13 clause( 49, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 58, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 59, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 65, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 0.73/1.13 X ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 70, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 .
% 0.73/1.13 clause( 73, [ =( 'double_divide'( multiply( Y, X ), 'double_divide'( Z, Y )
% 0.73/1.13 ), 'double_divide'( X, inverse( Z ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 78, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply( X
% 0.73/1.13 , Y ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 82, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ),
% 0.73/1.13 multiply( multiply( Y, X ), Z ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 83, [ =( 'double_divide'( inverse( Z ), 'double_divide'( Y, X ) ),
% 0.73/1.13 multiply( Z, multiply( X, Y ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 114, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y, X
% 0.73/1.13 ), Z ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 117, [] )
% 0.73/1.13 .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 % SZS output end Refutation
% 0.73/1.13 found a proof!
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 initialclauses(
% 0.73/1.13 [ clause( 119, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.73/1.13 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 120, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.73/1.13 X ), identity ) ) ] )
% 0.73/1.13 , clause( 121, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.73/1.13 , clause( 122, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.73/1.13 , clause( 123, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.73/1.13 multiply( b3, c3 ) ) ) ) ] )
% 0.73/1.13 ] ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.73/1.13 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 119, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.73/1.13 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.73/1.13 )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 126, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.73/1.13 multiply( X, Y ) ) ] )
% 0.73/1.13 , clause( 120, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.73/1.13 X ), identity ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.73/1.13 multiply( X, Y ) ) ] )
% 0.73/1.13 , clause( 126, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.73/1.13 multiply( X, Y ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 129, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , clause( 121, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , clause( 129, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 133, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.73/1.13 , clause( 122, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.73/1.13 , clause( 133, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 138, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.73/1.13 a3, b3 ), c3 ) ) ) ] )
% 0.73/1.13 , clause( 123, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.73/1.13 multiply( b3, c3 ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.73/1.13 a3, b3 ), c3 ) ) ) ] )
% 0.73/1.13 , clause( 138, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.73/1.13 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 141, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.73/1.13 multiply( X, Y ) ) ] )
% 0.73/1.13 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.73/1.13 , clause( 141, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.73/1.13 ] )
% 0.73/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 144, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 147, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.73/1.13 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.73/1.13 , 0, clause( 144, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, inverse( X ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.73/1.13 , clause( 147, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 150, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 153, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 150, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, identity )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.73/1.13 , clause( 153, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 158, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( 'double_divide'( X,
% 0.73/1.13 Y ) ), 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.73/1.13 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 159, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, clause( 158, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( 'double_divide'( X,
% 0.73/1.13 Y ) ), 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , clause( 159, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 162, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.73/1.13 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 164, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.73/1.13 'double_divide'( X, identity ) ) ) ) ) ] )
% 0.73/1.13 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.73/1.13 , 0, clause( 162, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.73/1.13 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.73/1.13 :=( Y, identity ), :=( Z, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 165, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.73/1.13 inverse( X ) ) ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 164, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.73/1.13 'double_divide'( X, identity ) ) ) ) ) ] )
% 0.73/1.13 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 166, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.73/1.13 inverse( X ) ) ) ), X ) ] )
% 0.73/1.13 , clause( 165, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.73/1.13 inverse( X ) ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 11, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.73/1.13 inverse( Y ) ) ) ), Y ) ] )
% 0.73/1.13 , clause( 166, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.73/1.13 inverse( X ) ) ) ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 168, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.73/1.13 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 171, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( inverse( X ), Y ),
% 0.73/1.13 identity ) ) ) ) ] )
% 0.73/1.13 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.73/1.13 , 0, clause( 168, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.73/1.13 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.73/1.13 :=( Y, inverse( X ) ), :=( Z, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 172, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 171, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( inverse( X ), Y ),
% 0.73/1.13 identity ) ) ) ) ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 173, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.73/1.13 ) ] )
% 0.73/1.13 , clause( 172, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 14, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.73/1.13 ) ] )
% 0.73/1.13 , clause( 173, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.73/1.13 ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 175, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 14, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 176, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.73/1.13 , 0, clause( 175, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 177, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.73/1.13 , clause( 176, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 17, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.73/1.13 , clause( 177, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 179, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , clause( 17, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 180, [ =( inverse( identity ), 'double_divide'( identity,
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.73/1.13 , 0, clause( 179, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.13 inverse( identity ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 181, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.73/1.13 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.73/1.13 , clause( 180, [ =( inverse( identity ), 'double_divide'( identity,
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 24, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.73/1.13 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.73/1.13 , clause( 181, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.73/1.13 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 183, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , clause( 17, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 184, [ =( identity, 'double_divide'( inverse( identity ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 183, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.13 identity )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 185, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.73/1.13 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.73/1.13 , clause( 184, [ =( identity, 'double_divide'( inverse( identity ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 25, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.73/1.13 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.73/1.13 , clause( 185, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.73/1.13 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 187, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , clause( 17, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 189, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.73/1.13 ), 'double_divide'( inverse( identity ), 'double_divide'( identity,
% 0.73/1.13 inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , clause( 24, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.73/1.13 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.73/1.13 , 0, clause( 187, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, 'double_divide'(
% 0.73/1.13 identity, inverse( inverse( identity ) ) ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 190, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.73/1.13 ), identity ) ] )
% 0.73/1.13 , clause( 25, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.73/1.13 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.73/1.13 , 0, clause( 189, [ =( 'double_divide'( identity, inverse( inverse(
% 0.73/1.13 identity ) ) ), 'double_divide'( inverse( identity ), 'double_divide'(
% 0.73/1.13 identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 26, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.73/1.13 ), identity ) ] )
% 0.73/1.13 , clause( 190, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.73/1.13 ) ), identity ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 193, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , clause( 17, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 198, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 identity ) ) ] )
% 0.73/1.13 , clause( 26, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.73/1.13 ) ), identity ) ] )
% 0.73/1.13 , 0, clause( 193, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.73/1.13 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 200, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 198, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 identity ) ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 201, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, clause( 200, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.73/1.13 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 202, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.13 , clause( 201, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 28, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.13 , clause( 202, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 204, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.73/1.13 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 208, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 0.73/1.13 , 'double_divide'( identity, 'double_divide'( multiply( inverse( inverse(
% 0.73/1.13 identity ) ), X ), identity ) ) ) ) ] )
% 0.73/1.13 , clause( 26, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.73/1.13 ) ), identity ) ] )
% 0.73/1.13 , 0, clause( 204, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.73/1.13 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.73/1.13 inverse( inverse( identity ) ) ), :=( Z, identity )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 209, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 0.73/1.13 , 'double_divide'( identity, inverse( multiply( inverse( inverse(
% 0.73/1.13 identity ) ), X ) ) ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 208, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.73/1.13 , X ), 'double_divide'( identity, 'double_divide'( multiply( inverse(
% 0.73/1.13 inverse( identity ) ), X ), identity ) ) ) ) ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, multiply( inverse( inverse( identity ) )
% 0.73/1.13 , X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 210, [ =( identity, inverse( identity ) ) ] )
% 0.73/1.13 , clause( 14, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, clause( 209, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.73/1.13 , X ), 'double_divide'( identity, inverse( multiply( inverse( inverse(
% 0.73/1.13 identity ) ), X ) ) ) ) ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, X )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 211, [ =( inverse( identity ), identity ) ] )
% 0.73/1.13 , clause( 210, [ =( identity, inverse( identity ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.73/1.13 , clause( 211, [ =( inverse( identity ), identity ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 213, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.73/1.13 inverse( Y ) ) ) ) ) ] )
% 0.73/1.13 , clause( 11, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.73/1.13 inverse( Y ) ) ) ), Y ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 220, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.73/1.13 identity, X ), 'double_divide'( identity, identity ) ) ) ] )
% 0.73/1.13 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.73/1.13 , 0, clause( 213, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.73/1.13 inverse( Y ) ) ) ) ) ] )
% 0.73/1.13 , 0, 10, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 221, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.73/1.13 identity, X ), inverse( identity ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 220, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.73/1.13 'double_divide'( identity, X ), 'double_divide'( identity, identity ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.13 X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 222, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.73/1.13 identity, X ), identity ) ) ] )
% 0.73/1.13 , clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.73/1.13 , 0, clause( 221, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.73/1.13 'double_divide'( identity, X ), inverse( identity ) ) ) ] )
% 0.73/1.13 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 223, [ =( inverse( inverse( X ) ), inverse( 'double_divide'(
% 0.73/1.13 identity, X ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 222, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.73/1.13 'double_divide'( identity, X ), identity ) ) ] )
% 0.73/1.13 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 224, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, clause( 223, [ =( inverse( inverse( X ) ), inverse( 'double_divide'(
% 0.73/1.13 identity, X ) ) ) ] )
% 0.73/1.13 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.73/1.13 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 225, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.13 , clause( 28, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.13 , 0, clause( 224, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.13 ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 32, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.13 , clause( 225, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 228, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 14, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 232, [ =( X, 'double_divide'( 'double_divide'( identity, identity )
% 0.73/1.13 , 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ] )
% 0.73/1.13 , clause( 28, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.13 , 0, clause( 228, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, 9, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.13 :=( X, identity ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 233, [ =( X, 'double_divide'( inverse( identity ), 'double_divide'(
% 0.73/1.13 identity, inverse( inverse( X ) ) ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 232, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.73/1.13 identity ), 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ] )
% 0.73/1.13 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.13 X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 234, [ =( X, 'double_divide'( identity, 'double_divide'( identity,
% 0.73/1.13 inverse( inverse( X ) ) ) ) ) ] )
% 0.73/1.13 , clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.73/1.13 , 0, clause( 233, [ =( X, 'double_divide'( inverse( identity ),
% 0.73/1.13 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ] )
% 0.73/1.13 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 235, [ =( X, 'double_divide'( identity, 'double_divide'( identity,
% 0.73/1.13 X ) ) ) ] )
% 0.73/1.13 , clause( 32, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.13 , 0, clause( 234, [ =( X, 'double_divide'( identity, 'double_divide'(
% 0.73/1.13 identity, inverse( inverse( X ) ) ) ) ) ] )
% 0.73/1.13 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.13 ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 236, [ =( 'double_divide'( identity, 'double_divide'( identity, X )
% 0.73/1.13 ), X ) ] )
% 0.73/1.13 , clause( 235, [ =( X, 'double_divide'( identity, 'double_divide'( identity
% 0.73/1.13 , X ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 34, [ =( 'double_divide'( identity, 'double_divide'( identity, X )
% 0.73/1.13 ), X ) ] )
% 0.73/1.13 , clause( 236, [ =( 'double_divide'( identity, 'double_divide'( identity, X
% 0.73/1.13 ) ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 238, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.73/1.13 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 242, [ =( X, 'double_divide'( 'double_divide'( identity, identity )
% 0.73/1.13 , 'double_divide'( identity, 'double_divide'( Y, 'double_divide'( X, Y )
% 0.73/1.13 ) ) ) ) ] )
% 0.73/1.13 , clause( 28, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.13 , 0, clause( 238, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.73/1.13 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.73/1.13 identity ), :=( Y, Y ), :=( Z, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 243, [ =( X, 'double_divide'( inverse( identity ), 'double_divide'(
% 0.73/1.13 identity, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 242, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.73/1.13 identity ), 'double_divide'( identity, 'double_divide'( Y,
% 0.73/1.13 'double_divide'( X, Y ) ) ) ) ) ] )
% 0.73/1.13 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.13 X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 244, [ =( X, 'double_divide'( identity, 'double_divide'( identity,
% 0.73/1.13 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ) ) ] )
% 0.73/1.13 , clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.73/1.13 , 0, clause( 243, [ =( X, 'double_divide'( inverse( identity ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( Y, 'double_divide'( X, Y ) )
% 0.73/1.13 ) ) ) ] )
% 0.73/1.13 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.73/1.13 ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 245, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.73/1.13 , clause( 34, [ =( 'double_divide'( identity, 'double_divide'( identity, X
% 0.73/1.13 ) ), X ) ] )
% 0.73/1.13 , 0, clause( 244, [ =( X, 'double_divide'( identity, 'double_divide'(
% 0.73/1.13 identity, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ) ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( Y, 'double_divide'( X, Y
% 0.73/1.13 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 246, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.73/1.13 , clause( 245, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 35, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.73/1.13 , clause( 246, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 248, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.73/1.13 , clause( 32, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 249, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, clause( 248, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.73/1.13 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.13 :=( X, 'double_divide'( X, Y ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 250, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 249, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 42, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 250, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 0.73/1.13 ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 251, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ] )
% 0.73/1.13 , clause( 35, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 254, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.73/1.13 , clause( 35, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.73/1.13 , 0, clause( 251, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.13 :=( X, 'double_divide'( Y, X ) ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 255, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.73/1.13 , clause( 254, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 49, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.73/1.13 , clause( 255, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 257, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ] )
% 0.73/1.13 , clause( 35, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 258, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.73/1.13 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 257, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.13 identity ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 259, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.73/1.13 , clause( 258, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 58, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.73/1.13 , clause( 259, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 261, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.73/1.13 , clause( 58, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 262, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.73/1.13 , clause( 32, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.13 , 0, clause( 261, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.73/1.13 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.73/1.13 X ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 263, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.73/1.13 , clause( 262, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 59, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.73/1.13 , clause( 263, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 265, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ] )
% 0.73/1.13 , clause( 49, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 270, [ =( 'double_divide'( identity, 'double_divide'( inverse(
% 0.73/1.13 inverse( X ) ), inverse( Y ) ) ), 'double_divide'( Y, 'double_divide'(
% 0.73/1.13 identity, X ) ) ) ] )
% 0.73/1.13 , clause( 11, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.73/1.13 inverse( Y ) ) ) ), Y ) ] )
% 0.73/1.13 , 0, clause( 265, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.13 :=( X, 'double_divide'( identity, X ) ), :=( Y, 'double_divide'( identity
% 0.73/1.13 , 'double_divide'( inverse( inverse( X ) ), inverse( Y ) ) ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 272, [ =( 'double_divide'( identity, 'double_divide'( inverse(
% 0.73/1.13 inverse( X ) ), inverse( Y ) ) ), 'double_divide'( Y, inverse( X ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 59, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 270, [ =( 'double_divide'( identity, 'double_divide'( inverse(
% 0.73/1.13 inverse( X ) ), inverse( Y ) ) ), 'double_divide'( Y, 'double_divide'(
% 0.73/1.13 identity, X ) ) ) ] )
% 0.73/1.13 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 274, [ =( inverse( 'double_divide'( inverse( inverse( X ) ),
% 0.73/1.13 inverse( Y ) ) ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 0.73/1.13 , clause( 59, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 272, [ =( 'double_divide'( identity, 'double_divide'( inverse(
% 0.73/1.13 inverse( X ) ), inverse( Y ) ) ), 'double_divide'( Y, inverse( X ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( inverse( inverse( X ) )
% 0.73/1.13 , inverse( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 275, [ =( multiply( inverse( Y ), inverse( inverse( X ) ) ),
% 0.73/1.13 'double_divide'( Y, inverse( X ) ) ) ] )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, clause( 274, [ =( inverse( 'double_divide'( inverse( inverse( X ) ),
% 0.73/1.13 inverse( Y ) ) ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 0.73/1.13 , 0, 1, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, inverse( inverse(
% 0.73/1.13 X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 276, [ =( multiply( inverse( X ), Y ), 'double_divide'( X, inverse(
% 0.73/1.13 Y ) ) ) ] )
% 0.73/1.13 , clause( 32, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.13 , 0, clause( 275, [ =( multiply( inverse( Y ), inverse( inverse( X ) ) ),
% 0.73/1.13 'double_divide'( Y, inverse( X ) ) ) ] )
% 0.73/1.13 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.73/1.13 :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 65, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 0.73/1.13 X ) ) ) ] )
% 0.73/1.13 , clause( 276, [ =( multiply( inverse( X ), Y ), 'double_divide'( X,
% 0.73/1.13 inverse( Y ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 279, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 280, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 49, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.73/1.13 , 0, clause( 279, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.13 :=( X, 'double_divide'( X, Y ) ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 70, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 280, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) )
% 0.73/1.13 ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 283, [ =( inverse( Y ), multiply( X, 'double_divide'( X, Y ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 70, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 292, [ =( inverse( 'double_divide'( identity, 'double_divide'(
% 0.73/1.13 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ), multiply(
% 0.73/1.13 'double_divide'( identity, Y ), Z ) ) ] )
% 0.73/1.13 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.73/1.13 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.73/1.13 , 0, clause( 283, [ =( inverse( Y ), multiply( X, 'double_divide'( X, Y ) )
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.13 substitution( 1, [ :=( X, 'double_divide'( identity, Y ) ), :=( Y,
% 0.73/1.13 'double_divide'( identity, 'double_divide'( multiply( X, Y ),
% 0.73/1.13 'double_divide'( Z, X ) ) ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 294, [ =( inverse( 'double_divide'( identity, 'double_divide'(
% 0.73/1.13 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ), multiply( inverse( Y ),
% 0.73/1.13 Z ) ) ] )
% 0.73/1.13 , clause( 59, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.73/1.13 , 0, clause( 292, [ =( inverse( 'double_divide'( identity, 'double_divide'(
% 0.73/1.13 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ), multiply(
% 0.73/1.13 'double_divide'( identity, Y ), Z ) ) ] )
% 0.73/1.13 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.13 :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 296, [ =( inverse( 'double_divide'( identity, 'double_divide'(
% 0.73/1.13 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ), 'double_divide'( Y,
% 0.73/1.13 inverse( Z ) ) ) ] )
% 0.73/1.13 , clause( 65, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 0.73/1.13 X ) ) ) ] )
% 0.73/1.13 , 0, clause( 294, [ =( inverse( 'double_divide'( identity, 'double_divide'(
% 0.73/1.13 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ), multiply( inverse( Y ),
% 0.73/1.13 Z ) ) ] )
% 0.73/1.13 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 297, [ =( multiply( 'double_divide'( multiply( X, Y ),
% 0.73/1.13 'double_divide'( Z, X ) ), identity ), 'double_divide'( Y, inverse( Z ) )
% 0.73/1.13 ) ] )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, clause( 296, [ =( inverse( 'double_divide'( identity, 'double_divide'(
% 0.73/1.13 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ), 'double_divide'( Y,
% 0.73/1.13 inverse( Z ) ) ) ] )
% 0.73/1.13 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( multiply( X, Y ),
% 0.73/1.13 'double_divide'( Z, X ) ) ), :=( Y, identity )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 298, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Z, X
% 0.73/1.13 ) ), 'double_divide'( Y, inverse( Z ) ) ) ] )
% 0.73/1.13 , clause( 28, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.13 , 0, clause( 297, [ =( multiply( 'double_divide'( multiply( X, Y ),
% 0.73/1.13 'double_divide'( Z, X ) ), identity ), 'double_divide'( Y, inverse( Z ) )
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( multiply( X, Y ),
% 0.73/1.13 'double_divide'( Z, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.73/1.13 , :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 73, [ =( 'double_divide'( multiply( Y, X ), 'double_divide'( Z, Y )
% 0.73/1.13 ), 'double_divide'( X, inverse( Z ) ) ) ] )
% 0.73/1.13 , clause( 298, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Z,
% 0.73/1.13 X ) ), 'double_divide'( Y, inverse( Z ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 301, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse( X
% 0.73/1.13 ), Y ) ) ] )
% 0.73/1.13 , clause( 65, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 0.73/1.13 X ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 303, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply(
% 0.73/1.13 X, Y ) ) ] )
% 0.73/1.13 , clause( 32, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.13 , 0, clause( 301, [ =( 'double_divide'( X, inverse( Y ) ), multiply(
% 0.73/1.13 inverse( X ), Y ) ) ] )
% 0.73/1.13 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.73/1.13 X ) ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 78, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply( X
% 0.73/1.13 , Y ) ) ] )
% 0.73/1.13 , clause( 303, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply(
% 0.73/1.13 X, Y ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 307, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse( X
% 0.73/1.13 ), Y ) ) ] )
% 0.73/1.13 , clause( 65, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 0.73/1.13 X ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 311, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 0.73/1.13 , multiply( multiply( Y, X ), Z ) ) ] )
% 0.73/1.13 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, clause( 307, [ =( 'double_divide'( X, inverse( Y ) ), multiply(
% 0.73/1.13 inverse( X ), Y ) ) ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.13 :=( X, 'double_divide'( X, Y ) ), :=( Y, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 82, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ),
% 0.73/1.13 multiply( multiply( Y, X ), Z ) ) ] )
% 0.73/1.13 , clause( 311, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z )
% 0.73/1.13 ), multiply( multiply( Y, X ), Z ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 315, [ =( multiply( X, Y ), 'double_divide'( inverse( X ), inverse(
% 0.73/1.13 Y ) ) ) ] )
% 0.73/1.13 , clause( 78, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply(
% 0.73/1.13 X, Y ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 319, [ =( multiply( X, multiply( Y, Z ) ), 'double_divide'( inverse(
% 0.73/1.13 X ), 'double_divide'( Z, Y ) ) ) ] )
% 0.73/1.13 , clause( 42, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, clause( 315, [ =( multiply( X, Y ), 'double_divide'( inverse( X ),
% 0.73/1.13 inverse( Y ) ) ) ] )
% 0.73/1.13 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, multiply( Y, Z ) )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 321, [ =( 'double_divide'( inverse( X ), 'double_divide'( Z, Y ) )
% 0.73/1.13 , multiply( X, multiply( Y, Z ) ) ) ] )
% 0.73/1.13 , clause( 319, [ =( multiply( X, multiply( Y, Z ) ), 'double_divide'(
% 0.73/1.13 inverse( X ), 'double_divide'( Z, Y ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 83, [ =( 'double_divide'( inverse( Z ), 'double_divide'( Y, X ) ),
% 0.73/1.13 multiply( Z, multiply( X, Y ) ) ) ] )
% 0.73/1.13 , clause( 321, [ =( 'double_divide'( inverse( X ), 'double_divide'( Z, Y )
% 0.73/1.13 ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 323, [ =( 'double_divide'( Y, inverse( Z ) ), 'double_divide'(
% 0.73/1.13 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ] )
% 0.73/1.13 , clause( 73, [ =( 'double_divide'( multiply( Y, X ), 'double_divide'( Z, Y
% 0.73/1.13 ) ), 'double_divide'( X, inverse( Z ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 327, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 0.73/1.13 , 'double_divide'( inverse( Y ), 'double_divide'( Z, X ) ) ) ] )
% 0.73/1.13 , clause( 70, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 0, clause( 323, [ =( 'double_divide'( Y, inverse( Z ) ), 'double_divide'(
% 0.73/1.13 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ] )
% 0.73/1.13 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, 'double_divide'( X, Y ) ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 328, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 0.73/1.13 , multiply( Y, multiply( X, Z ) ) ) ] )
% 0.73/1.13 , clause( 83, [ =( 'double_divide'( inverse( Z ), 'double_divide'( Y, X ) )
% 0.73/1.13 , multiply( Z, multiply( X, Y ) ) ) ] )
% 0.73/1.13 , 0, clause( 327, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z
% 0.73/1.13 ) ), 'double_divide'( inverse( Y ), 'double_divide'( Z, X ) ) ) ] )
% 0.73/1.13 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 329, [ =( multiply( multiply( Y, X ), Z ), multiply( Y, multiply( X
% 0.73/1.13 , Z ) ) ) ] )
% 0.73/1.13 , clause( 82, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 0.73/1.13 , multiply( multiply( Y, X ), Z ) ) ] )
% 0.73/1.13 , 0, clause( 328, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z
% 0.73/1.13 ) ), multiply( Y, multiply( X, Z ) ) ) ] )
% 0.73/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 330, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.13 ), Z ) ) ] )
% 0.73/1.13 , clause( 329, [ =( multiply( multiply( Y, X ), Z ), multiply( Y, multiply(
% 0.73/1.13 X, Z ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 114, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y, X
% 0.73/1.13 ), Z ) ) ] )
% 0.73/1.13 , clause( 330, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.73/1.13 , Y ), Z ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 331, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.73/1.13 , Z ) ) ) ] )
% 0.73/1.13 , clause( 114, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y
% 0.73/1.13 , X ), Z ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 332, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.73/1.13 multiply( b3, c3 ) ) ) ) ] )
% 0.73/1.13 , clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.73/1.13 a3, b3 ), c3 ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 333, [] )
% 0.73/1.13 , clause( 332, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.73/1.13 multiply( b3, c3 ) ) ) ) ] )
% 0.73/1.13 , 0, clause( 331, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.73/1.13 multiply( Y, Z ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ),
% 0.73/1.13 :=( Z, c3 )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 117, [] )
% 0.73/1.13 , clause( 333, [] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 end.
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 Memory use:
% 0.73/1.13
% 0.73/1.13 space for terms: 1403
% 0.73/1.13 space for clauses: 13173
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 clauses generated: 778
% 0.73/1.13 clauses kept: 118
% 0.73/1.13 clauses selected: 40
% 0.73/1.13 clauses deleted: 39
% 0.73/1.13 clauses inuse deleted: 0
% 0.73/1.13
% 0.73/1.13 subsentry: 484
% 0.73/1.13 literals s-matched: 169
% 0.73/1.13 literals matched: 167
% 0.73/1.13 full subsumption: 0
% 0.73/1.13
% 0.73/1.13 checksum: 1896100980
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksem ended
%------------------------------------------------------------------------------