TSTP Solution File: GRP576-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:37:42 EDT 2022
% Result : Unsatisfiable 0.42s 1.08s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.00/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jun 13 13:24:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08 [
% 0.42/1.08 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.42/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ],
% 0.42/1.08 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.42/1.08 identity ) ) ],
% 0.42/1.08 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.42/1.08 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.42/1.08 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.42/1.08 ] .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.08 This is a pure equality problem
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 1
% 0.42/1.08 useeqrefl = 1
% 0.42/1.08 useeqfact = 1
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 5
% 0.42/1.08 usesimpres = 3
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = eqrewr
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.08
% 0.42/1.08 termordering = kbo
% 0.42/1.08
% 0.42/1.08 litapriori = 0
% 0.42/1.08 termapriori = 1
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = negord
% 0.42/1.08
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 1
% 0.42/1.08 increasemaxweight = 1
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 1
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 'double_divide' [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.08 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.08 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.42/1.08 inverse [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.08 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/1.08 b [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksems!, er is een bewijs:
% 0.42/1.08 % SZS status Unsatisfiable
% 0.42/1.08 % SZS output start Refutation
% 0.42/1.08
% 0.42/1.08 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.42/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/1.08 multiply( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.42/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ), Y
% 0.42/1.08 ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 16, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.42/1.08 inverse( identity ) ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 17, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X )
% 0.42/1.08 , inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 18, [ =( inverse( multiply( inverse( inverse( inverse( inverse( X )
% 0.42/1.08 ) ) ), 'double_divide'( Y, X ) ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 21, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.42/1.08 X ) ) ) ), inverse( X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 31, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 33, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 34, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.42/1.08 inverse( identity ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 38, [ =( multiply( multiply( 'double_divide'( identity, X ), Y ), X
% 0.42/1.08 ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 41, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 43, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 53, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 62, [ =( inverse( inverse( X ) ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 69, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 .
% 0.42/1.08 clause( 74, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 76, [ =( 'double_divide'( 'double_divide'( Y, X ), X ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 77, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 79, [ =( multiply( 'double_divide'( X, inverse( Y ) ), Z ),
% 0.42/1.08 'double_divide'( X, 'double_divide'( Y, Z ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 84, [ =( multiply( Y, 'double_divide'( X, Y ) ), inverse( X ) ) ]
% 0.42/1.08 )
% 0.42/1.08 .
% 0.42/1.08 clause( 85, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 0.42/1.08 X ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 86, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 90, [ =( 'double_divide'( Y, X ), 'double_divide'( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 99, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 101, [] )
% 0.42/1.08 .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 % SZS output end Refutation
% 0.42/1.08 found a proof!
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 initialclauses(
% 0.42/1.08 [ clause( 103, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.42/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.42/1.08 , clause( 104, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.42/1.08 X ), identity ) ) ] )
% 0.42/1.08 , clause( 105, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.42/1.08 , clause( 106, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.42/1.08 , clause( 107, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.42/1.08 ] ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.42/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.42/1.08 , clause( 103, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.42/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 110, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/1.08 multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 104, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.42/1.08 X ), identity ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/1.08 multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 110, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/1.08 multiply( X, Y ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 113, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , clause( 105, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , clause( 113, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 117, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 , clause( 106, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 , clause( 117, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.42/1.08 , clause( 107, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 125, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/1.08 multiply( X, Y ) ) ] )
% 0.42/1.08 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.42/1.08 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 125, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.42/1.08 ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 128, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 131, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 , 0, clause( 128, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.08 :=( Y, inverse( X ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/1.08 , clause( 131, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 134, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 137, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 134, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.08 :=( Y, identity )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , clause( 137, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 143, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.42/1.08 identity ) ) ), inverse( identity ) ), Y ) ] )
% 0.42/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.42/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.42/1.08 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.42/1.08 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 145, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ), Y ) ] )
% 0.42/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 143, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.42/1.08 identity ) ) ), inverse( identity ) ), Y ) ] )
% 0.42/1.08 , 0, 10, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ), Y ) ] )
% 0.42/1.08 , clause( 145, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ), Y ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 148, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ) ) ] )
% 0.42/1.08 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 150, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.42/1.08 'double_divide'( 'double_divide'( X, identity ), inverse( Y ) ) ),
% 0.42/1.08 inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 , 0, clause( 148, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.42/1.08 'double_divide'( 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse(
% 0.42/1.08 Z ) ) ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.42/1.08 Y ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 151, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.42/1.08 'double_divide'( inverse( X ), inverse( Y ) ) ), inverse( identity ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 150, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.42/1.08 'double_divide'( 'double_divide'( X, identity ), inverse( Y ) ) ),
% 0.42/1.08 inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.08 :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 152, [ =( 'double_divide'( 'double_divide'( inverse( Y ),
% 0.42/1.08 'double_divide'( inverse( X ), inverse( Y ) ) ), inverse( identity ) ), X
% 0.42/1.08 ) ] )
% 0.42/1.08 , clause( 151, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.42/1.08 'double_divide'( inverse( X ), inverse( Y ) ) ), inverse( identity ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.42/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ), Y
% 0.42/1.08 ) ] )
% 0.42/1.08 , clause( 152, [ =( 'double_divide'( 'double_divide'( inverse( Y ),
% 0.42/1.08 'double_divide'( inverse( X ), inverse( Y ) ) ), inverse( identity ) ), X
% 0.42/1.08 ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 154, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.42/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.42/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ), Y
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 156, [ =( X, 'double_divide'( 'double_divide'( inverse( inverse( X
% 0.42/1.08 ) ), identity ), inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 , 0, clause( 154, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.42/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.42/1.08 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 157, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.42/1.08 inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 156, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.42/1.08 inverse( X ) ), identity ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.42/1.08 substitution( 1, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 158, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.42/1.08 inverse( identity ) ), X ) ] )
% 0.42/1.08 , clause( 157, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) ) )
% 0.42/1.08 , inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 16, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.42/1.08 inverse( identity ) ), X ) ] )
% 0.42/1.08 , clause( 158, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.42/1.08 inverse( identity ) ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 160, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.42/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 12, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.42/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ), Y
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 161, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.42/1.08 inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 16, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.42/1.08 inverse( identity ) ), X ) ] )
% 0.42/1.08 , 0, clause( 160, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.42/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.42/1.08 identity ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 162, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X
% 0.42/1.08 ), inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , clause( 161, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.42/1.08 'double_divide'( inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 17, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X )
% 0.42/1.08 , inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , clause( 162, [ =( 'double_divide'( 'double_divide'( inverse( identity ),
% 0.42/1.08 X ), inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 164, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ) ) ] )
% 0.42/1.08 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 167, [ =( X, 'double_divide'( 'double_divide'( inverse( identity )
% 0.42/1.08 , 'double_divide'( 'double_divide'( X, Y ), inverse( inverse( inverse(
% 0.42/1.08 inverse( Y ) ) ) ) ) ), inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 16, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.42/1.08 inverse( identity ) ), X ) ] )
% 0.42/1.08 , 0, clause( 164, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.42/1.08 'double_divide'( 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse(
% 0.42/1.08 Z ) ) ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.42/1.08 identity ) ), :=( Y, X ), :=( Z, inverse( inverse( inverse( Y ) ) ) )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 168, [ =( X, inverse( inverse( 'double_divide'( 'double_divide'( X
% 0.42/1.08 , Y ), inverse( inverse( inverse( inverse( Y ) ) ) ) ) ) ) ) ] )
% 0.42/1.08 , clause( 17, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X
% 0.42/1.08 ), inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , 0, clause( 167, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.42/1.08 identity ), 'double_divide'( 'double_divide'( X, Y ), inverse( inverse(
% 0.42/1.08 inverse( inverse( Y ) ) ) ) ) ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'( X, Y )
% 0.42/1.08 , inverse( inverse( inverse( inverse( Y ) ) ) ) ) )] ), substitution( 1
% 0.42/1.08 , [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 169, [ =( X, inverse( multiply( inverse( inverse( inverse( inverse(
% 0.42/1.08 Y ) ) ) ), 'double_divide'( X, Y ) ) ) ) ] )
% 0.42/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 168, [ =( X, inverse( inverse( 'double_divide'(
% 0.42/1.08 'double_divide'( X, Y ), inverse( inverse( inverse( inverse( Y ) ) ) ) )
% 0.42/1.08 ) ) ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, inverse( inverse( inverse( inverse( Y ) )
% 0.42/1.08 ) ) ), :=( Y, 'double_divide'( X, Y ) )] ), substitution( 1, [ :=( X, X
% 0.42/1.08 ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 170, [ =( inverse( multiply( inverse( inverse( inverse( inverse( Y
% 0.42/1.08 ) ) ) ), 'double_divide'( X, Y ) ) ), X ) ] )
% 0.42/1.08 , clause( 169, [ =( X, inverse( multiply( inverse( inverse( inverse(
% 0.42/1.08 inverse( Y ) ) ) ), 'double_divide'( X, Y ) ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 18, [ =( inverse( multiply( inverse( inverse( inverse( inverse( X )
% 0.42/1.08 ) ) ), 'double_divide'( Y, X ) ) ), Y ) ] )
% 0.42/1.08 , clause( 170, [ =( inverse( multiply( inverse( inverse( inverse( inverse(
% 0.42/1.08 Y ) ) ) ), 'double_divide'( X, Y ) ) ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 172, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 175, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.42/1.08 X ) ) ) ), inverse( X ) ) ] )
% 0.42/1.08 , clause( 16, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.42/1.08 inverse( identity ) ), X ) ] )
% 0.42/1.08 , 0, clause( 172, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.42/1.08 inverse( inverse( X ) ) ) ), :=( Y, inverse( identity ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 21, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.42/1.08 X ) ) ) ), inverse( X ) ) ] )
% 0.42/1.08 , clause( 175, [ =( multiply( inverse( identity ), inverse( inverse(
% 0.42/1.08 inverse( X ) ) ) ), inverse( X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 178, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.42/1.08 inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 17, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X
% 0.42/1.08 ), inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 180, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 'double_divide'( identity, inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 , 0, clause( 178, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.42/1.08 'double_divide'( inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.42/1.08 , [ :=( X, inverse( inverse( identity ) ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 182, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 , 0, clause( 180, [ =( inverse( inverse( inverse( inverse( identity ) ) ) )
% 0.42/1.08 , 'double_divide'( identity, inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 31, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 , clause( 182, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 185, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.42/1.08 inverse( inverse( X ) ) ) ) ) ] )
% 0.42/1.08 , clause( 21, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.42/1.08 X ) ) ) ), inverse( X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 189, [ =( inverse( inverse( identity ) ), multiply( inverse(
% 0.42/1.08 identity ), identity ) ) ] )
% 0.42/1.08 , clause( 31, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 , 0, clause( 185, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.42/1.08 inverse( inverse( X ) ) ) ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( identity
% 0.42/1.08 ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 192, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/1.08 , 0, clause( 189, [ =( inverse( inverse( identity ) ), multiply( inverse(
% 0.42/1.08 identity ), identity ) ) ] )
% 0.42/1.08 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 33, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ] )
% 0.42/1.08 , clause( 192, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 195, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.42/1.08 inverse( inverse( X ) ) ) ) ) ] )
% 0.42/1.08 , clause( 21, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.42/1.08 X ) ) ) ), inverse( X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 201, [ =( inverse( inverse( inverse( identity ) ) ), multiply(
% 0.42/1.08 inverse( identity ), inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 31, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 , 0, clause( 195, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.42/1.08 inverse( inverse( X ) ) ) ) ) ] )
% 0.42/1.08 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( inverse(
% 0.42/1.08 identity ) ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 203, [ =( inverse( inverse( identity ) ), multiply( inverse(
% 0.42/1.08 identity ), inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 33, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 201, [ =( inverse( inverse( inverse( identity ) ) ), multiply(
% 0.42/1.08 inverse( identity ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 205, [ =( inverse( identity ), multiply( inverse( identity ),
% 0.42/1.08 inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 33, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 203, [ =( inverse( inverse( identity ) ), multiply( inverse(
% 0.42/1.08 identity ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 206, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.42/1.08 inverse( identity ) ) ] )
% 0.42/1.08 , clause( 205, [ =( inverse( identity ), multiply( inverse( identity ),
% 0.42/1.08 inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 34, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.42/1.08 inverse( identity ) ) ] )
% 0.42/1.08 , clause( 206, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.42/1.08 inverse( identity ) ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 208, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.42/1.08 inverse( inverse( X ) ) ) ) ) ] )
% 0.42/1.08 , clause( 21, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.42/1.08 X ) ) ) ), inverse( X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 212, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 multiply( inverse( identity ), inverse( inverse( identity ) ) ) ) ] )
% 0.42/1.08 , clause( 31, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 , 0, clause( 208, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.42/1.08 inverse( inverse( X ) ) ) ) ) ] )
% 0.42/1.08 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( inverse(
% 0.42/1.08 inverse( identity ) ) ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 215, [ =( identity, multiply( inverse( identity ), inverse( inverse(
% 0.42/1.08 identity ) ) ) ) ] )
% 0.42/1.08 , clause( 31, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 , 0, clause( 212, [ =( inverse( inverse( inverse( inverse( identity ) ) ) )
% 0.42/1.08 , multiply( inverse( identity ), inverse( inverse( identity ) ) ) ) ] )
% 0.42/1.08 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 236, [ =( identity, multiply( inverse( identity ), inverse(
% 0.42/1.08 identity ) ) ) ] )
% 0.42/1.08 , clause( 33, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 215, [ =( identity, multiply( inverse( identity ), inverse(
% 0.42/1.08 inverse( identity ) ) ) ) ] )
% 0.42/1.08 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 237, [ =( identity, inverse( identity ) ) ] )
% 0.42/1.08 , clause( 34, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.42/1.08 inverse( identity ) ) ] )
% 0.42/1.08 , 0, clause( 236, [ =( identity, multiply( inverse( identity ), inverse(
% 0.42/1.08 identity ) ) ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 238, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , clause( 237, [ =( identity, inverse( identity ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , clause( 238, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 240, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ) ) ] )
% 0.42/1.08 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.42/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.42/1.08 identity ) ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 248, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.42/1.08 'double_divide'( X, 'double_divide'( inverse( inverse( inverse( identity
% 0.42/1.08 ) ) ), Y ) ), identity ) ), inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 31, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.42/1.08 identity ) ] )
% 0.42/1.08 , 0, clause( 240, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.42/1.08 'double_divide'( 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse(
% 0.42/1.08 Z ) ) ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X ),
% 0.42/1.08 :=( Z, inverse( inverse( inverse( identity ) ) ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 249, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.42/1.08 'double_divide'( X, 'double_divide'( inverse( inverse( inverse( identity
% 0.42/1.08 ) ) ), Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 248, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.42/1.08 'double_divide'( 'double_divide'( X, 'double_divide'( inverse( inverse(
% 0.42/1.08 inverse( identity ) ) ), Y ) ), identity ) ), inverse( identity ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( X, 'double_divide'(
% 0.42/1.08 inverse( inverse( inverse( identity ) ) ), Y ) ) )] ), substitution( 1, [
% 0.42/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 250, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( inverse( inverse( inverse( identity ) ) ), Y ), X ) ),
% 0.42/1.08 inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 249, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.42/1.08 'double_divide'( X, 'double_divide'( inverse( inverse( inverse( identity
% 0.42/1.08 ) ) ), Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( inverse( inverse(
% 0.42/1.08 inverse( identity ) ) ), Y ) ), :=( Y, X )] ), substitution( 1, [ :=( X,
% 0.42/1.08 X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 251, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( inverse( inverse( identity ) ), Y ), X ) ), inverse(
% 0.42/1.08 identity ) ) ) ] )
% 0.42/1.08 , clause( 33, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 250, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( inverse( inverse( inverse( identity ) ) ), Y ), X ) ),
% 0.42/1.08 inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 253, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( inverse( identity ), Y ), X ) ), inverse( identity ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 33, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 251, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( inverse( inverse( identity ) ), Y ), X ) ), inverse(
% 0.42/1.08 identity ) ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 255, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( inverse( identity ), Y ), X ) ), identity ) ) ] )
% 0.42/1.08 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , 0, clause( 253, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( inverse( identity ), Y ), X ) ), inverse( identity ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 256, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( identity, Y ), X ) ), identity ) ) ] )
% 0.42/1.08 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , 0, clause( 255, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( inverse( identity ), Y ), X ) ), identity ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 260, [ =( X, inverse( 'double_divide'( Y, multiply( 'double_divide'(
% 0.42/1.08 identity, Y ), X ) ) ) ) ] )
% 0.42/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 256, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( identity, Y ), X ) ), identity ) ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( identity, Y ), X ) ) )] ), substitution( 1, [ :=( X, X )
% 0.42/1.08 , :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 261, [ =( X, multiply( multiply( 'double_divide'( identity, Y ), X
% 0.42/1.08 ), Y ) ) ] )
% 0.42/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 260, [ =( X, inverse( 'double_divide'( Y, multiply(
% 0.42/1.08 'double_divide'( identity, Y ), X ) ) ) ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [ :=( X, multiply( 'double_divide'( identity, Y )
% 0.42/1.08 , X ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 262, [ =( multiply( multiply( 'double_divide'( identity, Y ), X ),
% 0.42/1.08 Y ), X ) ] )
% 0.42/1.08 , clause( 261, [ =( X, multiply( multiply( 'double_divide'( identity, Y ),
% 0.42/1.08 X ), Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 38, [ =( multiply( multiply( 'double_divide'( identity, X ), Y ), X
% 0.42/1.08 ), Y ) ] )
% 0.42/1.08 , clause( 262, [ =( multiply( multiply( 'double_divide'( identity, Y ), X )
% 0.42/1.08 , Y ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 264, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.42/1.08 inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.42/1.08 , clause( 17, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X
% 0.42/1.08 ), inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 271, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.42/1.08 inverse( identity ), X ), identity ) ) ] )
% 0.42/1.08 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , 0, clause( 264, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.42/1.08 'double_divide'( inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.42/1.08 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 272, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.71/1.08 identity, X ), identity ) ) ] )
% 0.71/1.08 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 , 0, clause( 271, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.71/1.08 'double_divide'( inverse( identity ), X ), identity ) ) ] )
% 0.71/1.08 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 282, [ =( inverse( inverse( X ) ), inverse( 'double_divide'(
% 0.71/1.08 identity, X ) ) ) ] )
% 0.71/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 272, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.71/1.08 'double_divide'( identity, X ), identity ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.71/1.08 substitution( 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 283, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 282, [ =( inverse( inverse( X ) ), inverse( 'double_divide'(
% 0.71/1.08 identity, X ) ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.71/1.08 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 284, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 283, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 41, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 284, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 286, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.71/1.08 inverse( identity ) ) ) ] )
% 0.71/1.08 , clause( 16, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.71/1.08 inverse( identity ) ), X ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 290, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.71/1.08 identity ) ) ] )
% 0.71/1.08 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 , 0, clause( 286, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) )
% 0.71/1.08 ), inverse( identity ) ) ) ] )
% 0.71/1.08 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 296, [ =( X, inverse( inverse( inverse( inverse( X ) ) ) ) ) ] )
% 0.71/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 290, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) )
% 0.71/1.08 ), identity ) ) ] )
% 0.71/1.08 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( inverse( X ) ) ) )] ),
% 0.71/1.08 substitution( 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 297, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , clause( 296, [ =( X, inverse( inverse( inverse( inverse( X ) ) ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 43, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , clause( 297, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 299, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ] )
% 0.71/1.08 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 301, [ =( inverse( identity ), multiply( X, inverse( inverse(
% 0.71/1.08 inverse( X ) ) ) ) ) ] )
% 0.71/1.08 , clause( 43, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 299, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.71/1.08 inverse( inverse( X ) ) ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 302, [ =( identity, multiply( X, inverse( inverse( inverse( X ) ) )
% 0.71/1.08 ) ) ] )
% 0.71/1.08 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 , 0, clause( 301, [ =( inverse( identity ), multiply( X, inverse( inverse(
% 0.71/1.08 inverse( X ) ) ) ) ) ] )
% 0.71/1.08 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 303, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.71/1.08 identity ) ] )
% 0.71/1.08 , clause( 302, [ =( identity, multiply( X, inverse( inverse( inverse( X ) )
% 0.71/1.08 ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 53, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.71/1.08 identity ) ] )
% 0.71/1.08 , clause( 303, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.71/1.08 identity ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 305, [ =( Y, multiply( multiply( 'double_divide'( identity, X ), Y
% 0.71/1.08 ), X ) ) ] )
% 0.71/1.08 , clause( 38, [ =( multiply( multiply( 'double_divide'( identity, X ), Y )
% 0.71/1.08 , X ), Y ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 310, [ =( inverse( inverse( inverse( 'double_divide'( identity, X )
% 0.71/1.08 ) ) ), multiply( identity, X ) ) ] )
% 0.71/1.08 , clause( 53, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.71/1.08 identity ) ] )
% 0.71/1.08 , 0, clause( 305, [ =( Y, multiply( multiply( 'double_divide'( identity, X
% 0.71/1.08 ), Y ), X ) ) ] )
% 0.71/1.08 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.71/1.08 substitution( 1, [ :=( X, X ), :=( Y, inverse( inverse( inverse(
% 0.71/1.08 'double_divide'( identity, X ) ) ) ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 311, [ =( inverse( inverse( inverse( 'double_divide'( identity, X )
% 0.71/1.08 ) ) ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, clause( 310, [ =( inverse( inverse( inverse( 'double_divide'( identity
% 0.71/1.08 , X ) ) ) ), multiply( identity, X ) ) ] )
% 0.71/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 312, [ =( inverse( inverse( multiply( X, identity ) ) ), inverse(
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 311, [ =( inverse( inverse( inverse( 'double_divide'( identity
% 0.71/1.08 , X ) ) ) ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.71/1.08 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 313, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), inverse(
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 41, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, clause( 312, [ =( inverse( inverse( multiply( X, identity ) ) ),
% 0.71/1.08 inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 314, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 43, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 313, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.71/1.08 inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 315, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 , clause( 314, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 62, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 , clause( 315, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 317, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 62, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 318, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 317, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.08 :=( X, 'double_divide'( X, Y ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 319, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 318, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 0.71/1.08 ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 69, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 319, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 0.71/1.08 ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 321, [ =( 'double_divide'( Y, X ), inverse( multiply( X, Y ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 69, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 324, [ =( 'double_divide'( identity, X ), inverse( inverse( inverse(
% 0.71/1.08 X ) ) ) ) ] )
% 0.71/1.08 , clause( 41, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, clause( 321, [ =( 'double_divide'( Y, X ), inverse( multiply( X, Y ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, identity )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 325, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , clause( 62, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 , 0, clause( 324, [ =( 'double_divide'( identity, X ), inverse( inverse(
% 0.71/1.08 inverse( X ) ) ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.71/1.08 :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 74, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , clause( 325, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 330, [ =( 'double_divide'( 'double_divide'( Y, X ), inverse(
% 0.71/1.08 inverse( inverse( inverse( X ) ) ) ) ), Y ) ] )
% 0.71/1.08 , clause( 69, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 18, [ =( inverse( multiply( inverse( inverse( inverse( inverse(
% 0.71/1.08 X ) ) ) ), 'double_divide'( Y, X ) ) ), Y ) ] )
% 0.71/1.08 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( Y, X ) ), :=( Y, inverse(
% 0.71/1.08 inverse( inverse( inverse( X ) ) ) ) )] ), substitution( 1, [ :=( X, X )
% 0.71/1.08 , :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 331, [ =( 'double_divide'( 'double_divide'( X, Y ), Y ), X ) ] )
% 0.71/1.08 , clause( 43, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 330, [ =( 'double_divide'( 'double_divide'( Y, X ), inverse(
% 0.71/1.08 inverse( inverse( inverse( X ) ) ) ) ), Y ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.71/1.08 :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 76, [ =( 'double_divide'( 'double_divide'( Y, X ), X ), Y ) ] )
% 0.71/1.08 , clause( 331, [ =( 'double_divide'( 'double_divide'( X, Y ), Y ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 334, [ =( Y, multiply( multiply( 'double_divide'( identity, X ), Y
% 0.71/1.08 ), X ) ) ] )
% 0.71/1.08 , clause( 38, [ =( multiply( multiply( 'double_divide'( identity, X ), Y )
% 0.71/1.08 , X ), Y ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 335, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.71/1.08 , clause( 74, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 334, [ =( Y, multiply( multiply( 'double_divide'( identity, X
% 0.71/1.08 ), Y ), X ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.71/1.08 :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 336, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.71/1.08 , clause( 335, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 77, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.71/1.08 , clause( 336, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 338, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.71/1.08 identity ) ) ) ] )
% 0.71/1.08 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.71/1.08 identity ) ), Y ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 345, [ =( 'double_divide'( X, 'double_divide'( Y, Z ) ),
% 0.71/1.08 'double_divide'( 'double_divide'( Z, 'double_divide'( X, inverse( Y ) ) )
% 0.71/1.08 , inverse( identity ) ) ) ] )
% 0.71/1.08 , clause( 76, [ =( 'double_divide'( 'double_divide'( Y, X ), X ), Y ) ] )
% 0.71/1.08 , 0, clause( 338, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.71/1.08 'double_divide'( 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse(
% 0.71/1.08 Z ) ) ), inverse( identity ) ) ) ] )
% 0.71/1.08 , 0, 10, substitution( 0, [ :=( X, 'double_divide'( Y, Z ) ), :=( Y, X )] )
% 0.71/1.08 , substitution( 1, [ :=( X, Z ), :=( Y, 'double_divide'( X,
% 0.71/1.08 'double_divide'( Y, Z ) ) ), :=( Z, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 355, [ =( 'double_divide'( X, 'double_divide'( Y, Z ) ),
% 0.71/1.08 'double_divide'( 'double_divide'( Z, 'double_divide'( X, inverse( Y ) ) )
% 0.71/1.08 , identity ) ) ] )
% 0.71/1.08 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 , 0, clause( 345, [ =( 'double_divide'( X, 'double_divide'( Y, Z ) ),
% 0.71/1.08 'double_divide'( 'double_divide'( Z, 'double_divide'( X, inverse( Y ) ) )
% 0.71/1.08 , inverse( identity ) ) ) ] )
% 0.71/1.08 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.71/1.08 :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 356, [ =( 'double_divide'( X, 'double_divide'( Y, Z ) ), inverse(
% 0.71/1.08 'double_divide'( Z, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.71/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 355, [ =( 'double_divide'( X, 'double_divide'( Y, Z ) ),
% 0.71/1.08 'double_divide'( 'double_divide'( Z, 'double_divide'( X, inverse( Y ) ) )
% 0.71/1.08 , identity ) ) ] )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, 'double_divide'( Z, 'double_divide'( X,
% 0.71/1.08 inverse( Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.71/1.08 Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 357, [ =( 'double_divide'( X, 'double_divide'( Y, Z ) ), multiply(
% 0.71/1.08 'double_divide'( X, inverse( Y ) ), Z ) ) ] )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 356, [ =( 'double_divide'( X, 'double_divide'( Y, Z ) ),
% 0.71/1.08 inverse( 'double_divide'( Z, 'double_divide'( X, inverse( Y ) ) ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, 'double_divide'( X, inverse( Y ) ) ),
% 0.71/1.08 :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 358, [ =( multiply( 'double_divide'( X, inverse( Y ) ), Z ),
% 0.71/1.08 'double_divide'( X, 'double_divide'( Y, Z ) ) ) ] )
% 0.71/1.08 , clause( 357, [ =( 'double_divide'( X, 'double_divide'( Y, Z ) ), multiply(
% 0.71/1.08 'double_divide'( X, inverse( Y ) ), Z ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 79, [ =( multiply( 'double_divide'( X, inverse( Y ) ), Z ),
% 0.71/1.08 'double_divide'( X, 'double_divide'( Y, Z ) ) ) ] )
% 0.71/1.08 , clause( 358, [ =( multiply( 'double_divide'( X, inverse( Y ) ), Z ),
% 0.71/1.08 'double_divide'( X, 'double_divide'( Y, Z ) ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 360, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 361, [ =( multiply( X, 'double_divide'( Y, X ) ), inverse( Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 76, [ =( 'double_divide'( 'double_divide'( Y, X ), X ), Y ) ] )
% 0.71/1.08 , 0, clause( 360, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.08 :=( X, 'double_divide'( Y, X ) ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 84, [ =( multiply( Y, 'double_divide'( X, Y ) ), inverse( X ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 361, [ =( multiply( X, 'double_divide'( Y, X ) ), inverse( Y ) )
% 0.71/1.08 ] )
% 0.71/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 364, [ =( Y, multiply( multiply( 'double_divide'( identity, X ), Y
% 0.71/1.08 ), X ) ) ] )
% 0.71/1.08 , clause( 38, [ =( multiply( multiply( 'double_divide'( identity, X ), Y )
% 0.71/1.08 , X ), Y ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 366, [ =( 'double_divide'( X, 'double_divide'( identity, Y ) ),
% 0.71/1.08 multiply( inverse( X ), Y ) ) ] )
% 0.71/1.08 , clause( 84, [ =( multiply( Y, 'double_divide'( X, Y ) ), inverse( X ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 364, [ =( Y, multiply( multiply( 'double_divide'( identity, X
% 0.71/1.08 ), Y ), X ) ) ] )
% 0.71/1.08 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, 'double_divide'( identity, Y
% 0.71/1.08 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( X,
% 0.71/1.08 'double_divide'( identity, Y ) ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 367, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse( X
% 0.71/1.08 ), Y ) ) ] )
% 0.71/1.08 , clause( 74, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 366, [ =( 'double_divide'( X, 'double_divide'( identity, Y ) )
% 0.71/1.08 , multiply( inverse( X ), Y ) ) ] )
% 0.71/1.08 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 368, [ =( multiply( inverse( X ), Y ), 'double_divide'( X, inverse(
% 0.71/1.08 Y ) ) ) ] )
% 0.71/1.08 , clause( 367, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse(
% 0.71/1.08 X ), Y ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 85, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 0.71/1.08 X ) ) ) ] )
% 0.71/1.08 , clause( 368, [ =( multiply( inverse( X ), Y ), 'double_divide'( X,
% 0.71/1.08 inverse( Y ) ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 372, [ =( multiply( 'double_divide'( X, inverse( Y ) ), X ), Y ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 85, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 0.71/1.08 X ) ) ) ] )
% 0.71/1.08 , 0, clause( 77, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.71/1.08 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 373, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.71/1.08 , clause( 79, [ =( multiply( 'double_divide'( X, inverse( Y ) ), Z ),
% 0.71/1.08 'double_divide'( X, 'double_divide'( Y, Z ) ) ) ] )
% 0.71/1.08 , 0, clause( 372, [ =( multiply( 'double_divide'( X, inverse( Y ) ), X ), Y
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 86, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.71/1.08 , clause( 373, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 376, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ] )
% 0.71/1.08 , clause( 86, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 379, [ =( 'double_divide'( X, Y ), 'double_divide'( Y, X ) ) ] )
% 0.71/1.08 , clause( 76, [ =( 'double_divide'( 'double_divide'( Y, X ), X ), Y ) ] )
% 0.71/1.08 , 0, clause( 376, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.08 :=( X, Y ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 90, [ =( 'double_divide'( Y, X ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.08 , clause( 379, [ =( 'double_divide'( X, Y ), 'double_divide'( Y, X ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 380, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 382, [ =( multiply( X, Y ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 90, [ =( 'double_divide'( Y, X ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.08 , 0, clause( 380, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.08 :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 384, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 382, [ =( multiply( X, Y ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 99, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.08 , clause( 384, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 385, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.71/1.08 , clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 387, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.71/1.08 , clause( 99, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.08 , 0, clause( 385, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqrefl(
% 0.71/1.08 clause( 390, [] )
% 0.71/1.08 , clause( 387, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 101, [] )
% 0.71/1.08 , clause( 390, [] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 end.
% 0.71/1.08
% 0.71/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.08
% 0.71/1.08 Memory use:
% 0.71/1.08
% 0.71/1.08 space for terms: 1111
% 0.71/1.08 space for clauses: 11109
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 clauses generated: 592
% 0.71/1.08 clauses kept: 102
% 0.71/1.08 clauses selected: 32
% 0.71/1.08 clauses deleted: 12
% 0.71/1.08 clauses inuse deleted: 0
% 0.71/1.08
% 0.71/1.08 subsentry: 880
% 0.71/1.08 literals s-matched: 242
% 0.71/1.08 literals matched: 240
% 0.71/1.08 full subsumption: 0
% 0.71/1.08
% 0.71/1.08 checksum: -1076013305
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksem ended
%------------------------------------------------------------------------------