TSTP Solution File: GRP079-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP079-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 07:34:45 EDT 2022
% Result : Unsatisfiable 1.00s 1.38s
% Output : Refutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP079-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.08/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 12:42:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.00/1.38 *** allocated 10000 integers for termspace/termends
% 1.00/1.38 *** allocated 10000 integers for clauses
% 1.00/1.38 *** allocated 10000 integers for justifications
% 1.00/1.38 Bliksem 1.12
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Automatic Strategy Selection
% 1.00/1.38
% 1.00/1.38 Clauses:
% 1.00/1.38 [
% 1.00/1.38 [ =( 'double_divide'( 'double_divide'( identity, X ), 'double_divide'(
% 1.00/1.38 'double_divide'( 'double_divide'( Y, Z ), 'double_divide'( identity,
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ],
% 1.00/1.38 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 1.00/1.38 identity ) ) ],
% 1.00/1.38 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 1.00/1.38 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 1.00/1.38 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =( multiply(
% 1.00/1.38 identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3 ),
% 1.00/1.38 multiply( a3, multiply( b3, c3 ) ) ) ) ]
% 1.00/1.38 ] .
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 percentage equality = 1.000000, percentage horn = 1.000000
% 1.00/1.38 This is a pure equality problem
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Options Used:
% 1.00/1.38
% 1.00/1.38 useres = 1
% 1.00/1.38 useparamod = 1
% 1.00/1.38 useeqrefl = 1
% 1.00/1.38 useeqfact = 1
% 1.00/1.38 usefactor = 1
% 1.00/1.38 usesimpsplitting = 0
% 1.00/1.38 usesimpdemod = 5
% 1.00/1.38 usesimpres = 3
% 1.00/1.38
% 1.00/1.38 resimpinuse = 1000
% 1.00/1.38 resimpclauses = 20000
% 1.00/1.38 substype = eqrewr
% 1.00/1.38 backwardsubs = 1
% 1.00/1.38 selectoldest = 5
% 1.00/1.38
% 1.00/1.38 litorderings [0] = split
% 1.00/1.38 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.38
% 1.00/1.38 termordering = kbo
% 1.00/1.38
% 1.00/1.38 litapriori = 0
% 1.00/1.38 termapriori = 1
% 1.00/1.38 litaposteriori = 0
% 1.00/1.38 termaposteriori = 0
% 1.00/1.38 demodaposteriori = 0
% 1.00/1.38 ordereqreflfact = 0
% 1.00/1.38
% 1.00/1.38 litselect = negord
% 1.00/1.38
% 1.00/1.38 maxweight = 15
% 1.00/1.38 maxdepth = 30000
% 1.00/1.38 maxlength = 115
% 1.00/1.38 maxnrvars = 195
% 1.00/1.38 excuselevel = 1
% 1.00/1.38 increasemaxweight = 1
% 1.00/1.38
% 1.00/1.38 maxselected = 10000000
% 1.00/1.38 maxnrclauses = 10000000
% 1.00/1.38
% 1.00/1.38 showgenerated = 0
% 1.00/1.38 showkept = 0
% 1.00/1.38 showselected = 0
% 1.00/1.38 showdeleted = 0
% 1.00/1.38 showresimp = 1
% 1.00/1.38 showstatus = 2000
% 1.00/1.38
% 1.00/1.38 prologoutput = 1
% 1.00/1.38 nrgoals = 5000000
% 1.00/1.38 totalproof = 1
% 1.00/1.38
% 1.00/1.38 Symbols occurring in the translation:
% 1.00/1.38
% 1.00/1.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.38 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 1.00/1.38 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.00/1.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.38 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.00/1.38 'double_divide' [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.00/1.38 multiply [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.00/1.38 inverse [45, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.00/1.38 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.00/1.38 a2 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.00/1.38 a3 [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.00/1.38 b3 [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.00/1.38 c3 [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Starting Search:
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Failed to find proof!
% 1.00/1.38 maxweight = 15
% 1.00/1.38 maxnrclauses = 10000000
% 1.00/1.38 Generated: 3048
% 1.00/1.38 Kept: 153
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 The strategy used was not complete!
% 1.00/1.38
% 1.00/1.38 Increased maxweight to 16
% 1.00/1.38
% 1.00/1.38 Starting Search:
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Failed to find proof!
% 1.00/1.38 maxweight = 16
% 1.00/1.38 maxnrclauses = 10000000
% 1.00/1.38 Generated: 4110
% 1.00/1.38 Kept: 173
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 The strategy used was not complete!
% 1.00/1.38
% 1.00/1.38 Increased maxweight to 17
% 1.00/1.38
% 1.00/1.38 Starting Search:
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Failed to find proof!
% 1.00/1.38 maxweight = 17
% 1.00/1.38 maxnrclauses = 10000000
% 1.00/1.38 Generated: 4305
% 1.00/1.38 Kept: 181
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 The strategy used was not complete!
% 1.00/1.38
% 1.00/1.38 Increased maxweight to 18
% 1.00/1.38
% 1.00/1.38 Starting Search:
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Failed to find proof!
% 1.00/1.38 maxweight = 18
% 1.00/1.38 maxnrclauses = 10000000
% 1.00/1.38 Generated: 3939
% 1.00/1.38 Kept: 163
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 The strategy used was not complete!
% 1.00/1.38
% 1.00/1.38 Increased maxweight to 19
% 1.00/1.38
% 1.00/1.38 Starting Search:
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Failed to find proof!
% 1.00/1.38 maxweight = 19
% 1.00/1.38 maxnrclauses = 10000000
% 1.00/1.38 Generated: 7984
% 1.00/1.38 Kept: 183
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 The strategy used was not complete!
% 1.00/1.38
% 1.00/1.38 Increased maxweight to 20
% 1.00/1.38
% 1.00/1.38 Starting Search:
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Bliksems!, er is een bewijs:
% 1.00/1.38 % SZS status Unsatisfiable
% 1.00/1.38 % SZS output start Refutation
% 1.00/1.38
% 1.00/1.38 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 1.00/1.38 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 1.00/1.38 ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 1.00/1.38 multiply( X, Y ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 1.00/1.38 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 1.00/1.38 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 1.00/1.38 ), identity ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 17, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 1.00/1.38 )
% 1.00/1.38 .
% 1.00/1.38 clause( 21, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 1.00/1.38 a3, b3 ), c3 ) ) ), ~( =( inverse( identity ), identity ) ), ~( =(
% 1.00/1.38 inverse( inverse( a2 ) ), a2 ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 26, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 1.00/1.38 identity ) ), X ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 35, [ =( inverse( identity ), identity ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 36, [ =( multiply( X, identity ), X ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 39, [ =( 'double_divide'( 'double_divide'( identity, X ), X ),
% 1.00/1.38 identity ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 40, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 44, [ =( 'double_divide'( identity, 'double_divide'( identity, X )
% 1.00/1.38 ), X ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 48, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 52, [ =( inverse( inverse( X ) ), X ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 53, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 59, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 .
% 1.00/1.38 clause( 61, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 64, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 73, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 1.00/1.38 X ) ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 76, [ =( 'double_divide'( multiply( Z, Y ), 'double_divide'( X, Z )
% 1.00/1.38 ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 79, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 .
% 1.00/1.38 clause( 83, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply( X
% 1.00/1.38 , Y ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 86, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ),
% 1.00/1.38 multiply( multiply( Y, X ), Z ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 87, [ =( 'double_divide'( inverse( Z ), 'double_divide'( Y, X ) ),
% 1.00/1.38 multiply( Z, multiply( X, Y ) ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 95, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 1.00/1.38 a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 126, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y, X
% 1.00/1.38 ), Z ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 129, [] )
% 1.00/1.38 .
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 % SZS output end Refutation
% 1.00/1.38 found a proof!
% 1.00/1.38
% 1.00/1.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.00/1.38
% 1.00/1.38 initialclauses(
% 1.00/1.38 [ clause( 131, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 1.00/1.38 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 1.00/1.38 ] )
% 1.00/1.38 , clause( 132, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 1.00/1.38 X ), identity ) ) ] )
% 1.00/1.38 , clause( 133, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 1.00/1.38 , clause( 134, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 1.00/1.38 , clause( 135, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 1.00/1.38 multiply( identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3
% 1.00/1.38 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 1.00/1.38 ] ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 1.00/1.38 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 1.00/1.38 ] )
% 1.00/1.38 , clause( 131, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 1.00/1.38 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 1.00/1.38 ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.00/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 138, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 1.00/1.38 multiply( X, Y ) ) ] )
% 1.00/1.38 , clause( 132, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 1.00/1.38 X ), identity ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 1.00/1.38 multiply( X, Y ) ) ] )
% 1.00/1.38 , clause( 138, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 1.00/1.38 multiply( X, Y ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 141, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , clause( 133, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , clause( 141, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 145, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , clause( 134, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , clause( 145, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 152, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 1.00/1.38 a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), identity ) ),
% 1.00/1.38 ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 1.00/1.38 , clause( 135, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 1.00/1.38 multiply( identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3
% 1.00/1.38 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 1.00/1.38 , 2, substitution( 0, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 1.00/1.38 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 1.00/1.38 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , clause( 152, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 1.00/1.38 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 1.00/1.38 identity ) ), ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 1.00/1.38 , 1 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 159, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 1.00/1.38 multiply( X, Y ) ) ] )
% 1.00/1.38 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 1.00/1.38 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 1.00/1.38 , clause( 159, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 1.00/1.38 ] )
% 1.00/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 162, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 1.00/1.38 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 165, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 1.00/1.38 multiply( Y, X ) ) ) ] )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 162, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 1.00/1.38 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.00/1.38 :=( X, 'double_divide'( X, Y ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 166, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 1.00/1.38 ) ), identity ) ] )
% 1.00/1.38 , clause( 165, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 1.00/1.38 multiply( Y, X ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 1.00/1.38 ), identity ) ] )
% 1.00/1.38 , clause( 166, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y,
% 1.00/1.38 X ) ), identity ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 168, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 171, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 1.00/1.38 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , 0, clause( 168, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 1.00/1.38 ) ] )
% 1.00/1.38 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.00/1.38 :=( Y, inverse( X ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 1.00/1.38 , clause( 171, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 174, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 177, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 1.00/1.38 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 174, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 1.00/1.38 ) ] )
% 1.00/1.38 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.00/1.38 :=( Y, identity )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 1.00/1.38 , clause( 177, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 181, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 1.00/1.38 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 1.00/1.38 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 1.00/1.38 ] )
% 1.00/1.38 , 0, 10, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 1.00/1.38 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 1.00/1.38 , clause( 181, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.00/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 184, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 1.00/1.38 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 187, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( 'double_divide'( identity, inverse( identity ) ),
% 1.00/1.38 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 1.00/1.38 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , 0, clause( 184, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 1.00/1.38 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 1.00/1.38 :=( Y, X ), :=( Z, inverse( X ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 190, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 1.00/1.38 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , 0, clause( 187, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( 'double_divide'( identity, inverse( identity ) ),
% 1.00/1.38 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 1.00/1.38 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 1.00/1.38 X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 191, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 190, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 17, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 191, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 1.00/1.38 )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 201, [ ~( =( inverse( identity ), identity ) ), ~( =( multiply(
% 1.00/1.38 identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 1.00/1.38 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 1.00/1.38 , 0, clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 1.00/1.38 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 1.00/1.38 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , 0, 2, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 202, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( inverse(
% 1.00/1.38 identity ), identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 1.00/1.38 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 1.00/1.38 , 0, clause( 201, [ ~( =( inverse( identity ), identity ) ), ~( =( multiply(
% 1.00/1.38 identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 1.00/1.38 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , 1, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 21, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 1.00/1.38 a3, b3 ), c3 ) ) ), ~( =( inverse( identity ), identity ) ), ~( =(
% 1.00/1.38 inverse( inverse( a2 ) ), a2 ) ) ] )
% 1.00/1.38 , clause( 202, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( inverse(
% 1.00/1.38 identity ), identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 1.00/1.38 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 1.00/1.38 , 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 211, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 1.00/1.38 , clause( 17, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 214, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( identity, identity ) ) ) ] )
% 1.00/1.38 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , 0, clause( 211, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 1.00/1.38 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.00/1.38 :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 215, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 inverse( identity ) ) ) ] )
% 1.00/1.38 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 214, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( identity, identity ) ) ) ] )
% 1.00/1.38 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 1.00/1.38 X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 216, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 1.00/1.38 identity ) ), X ) ] )
% 1.00/1.38 , clause( 215, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 inverse( identity ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 26, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 1.00/1.38 identity ) ), X ) ] )
% 1.00/1.38 , clause( 216, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 inverse( identity ) ), X ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 218, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 inverse( identity ) ) ) ] )
% 1.00/1.38 , clause( 26, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 1.00/1.38 identity ) ), X ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 220, [ =( inverse( identity ), 'double_divide'( identity, inverse(
% 1.00/1.38 identity ) ) ) ] )
% 1.00/1.38 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , 0, clause( 218, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 inverse( identity ) ) ) ] )
% 1.00/1.38 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 1.00/1.38 inverse( identity ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 222, [ =( inverse( identity ), identity ) ] )
% 1.00/1.38 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 1.00/1.38 , 0, clause( 220, [ =( inverse( identity ), 'double_divide'( identity,
% 1.00/1.38 inverse( identity ) ) ) ] )
% 1.00/1.38 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 35, [ =( inverse( identity ), identity ) ] )
% 1.00/1.38 , clause( 222, [ =( inverse( identity ), identity ) ] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 225, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 inverse( identity ) ) ) ] )
% 1.00/1.38 , clause( 26, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 1.00/1.38 identity ) ), X ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 228, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 identity ) ) ] )
% 1.00/1.38 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 1.00/1.38 , 0, clause( 225, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 inverse( identity ) ) ) ] )
% 1.00/1.38 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 229, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 1.00/1.38 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 228, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 identity ) ) ] )
% 1.00/1.38 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 1.00/1.38 substitution( 1, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 230, [ =( X, multiply( X, identity ) ) ] )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 229, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 1.00/1.38 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 1.00/1.38 1, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 231, [ =( multiply( X, identity ), X ) ] )
% 1.00/1.38 , clause( 230, [ =( X, multiply( X, identity ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 36, [ =( multiply( X, identity ), X ) ] )
% 1.00/1.38 , clause( 231, [ =( multiply( X, identity ), X ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 233, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 1.00/1.38 multiply( Y, X ) ) ) ] )
% 1.00/1.38 , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 1.00/1.38 ) ), identity ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 234, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 1.00/1.38 , X ) ) ] )
% 1.00/1.38 , clause( 36, [ =( multiply( X, identity ), X ) ] )
% 1.00/1.38 , 0, clause( 233, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 1.00/1.38 multiply( Y, X ) ) ) ] )
% 1.00/1.38 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.00/1.38 identity ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 235, [ =( 'double_divide'( 'double_divide'( identity, X ), X ),
% 1.00/1.38 identity ) ] )
% 1.00/1.38 , clause( 234, [ =( identity, 'double_divide'( 'double_divide'( identity, X
% 1.00/1.38 ), X ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 39, [ =( 'double_divide'( 'double_divide'( identity, X ), X ),
% 1.00/1.38 identity ) ] )
% 1.00/1.38 , clause( 235, [ =( 'double_divide'( 'double_divide'( identity, X ), X ),
% 1.00/1.38 identity ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 237, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 1.00/1.38 , clause( 17, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 240, [ =( X, 'double_divide'( 'double_divide'( identity,
% 1.00/1.38 'double_divide'( identity, inverse( X ) ) ), 'double_divide'( identity,
% 1.00/1.38 identity ) ) ) ] )
% 1.00/1.38 , clause( 39, [ =( 'double_divide'( 'double_divide'( identity, X ), X ),
% 1.00/1.38 identity ) ] )
% 1.00/1.38 , 0, clause( 237, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 1.00/1.38 , 0, 11, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 1.00/1.38 :=( X, 'double_divide'( identity, inverse( X ) ) ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 241, [ =( X, 'double_divide'( 'double_divide'( identity,
% 1.00/1.38 'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 1.00/1.38 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 240, [ =( X, 'double_divide'( 'double_divide'( identity,
% 1.00/1.38 'double_divide'( identity, inverse( X ) ) ), 'double_divide'( identity,
% 1.00/1.38 identity ) ) ) ] )
% 1.00/1.38 , 0, 9, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 1.00/1.38 X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 242, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 1.00/1.38 , clause( 26, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 1.00/1.38 identity ) ), X ) ] )
% 1.00/1.38 , 0, clause( 241, [ =( X, 'double_divide'( 'double_divide'( identity,
% 1.00/1.38 'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 1.00/1.38 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( identity, inverse( X ) )
% 1.00/1.38 )] ), substitution( 1, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 243, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 1.00/1.38 , clause( 242, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 40, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 1.00/1.38 , clause( 243, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 245, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 1.00/1.38 , clause( 17, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 249, [ =( X, 'double_divide'( 'double_divide'( identity, identity )
% 1.00/1.38 , 'double_divide'( identity, X ) ) ) ] )
% 1.00/1.38 , clause( 40, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 1.00/1.38 , 0, clause( 245, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 1.00/1.38 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.00/1.38 identity ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 250, [ =( X, 'double_divide'( inverse( identity ), 'double_divide'(
% 1.00/1.38 identity, X ) ) ) ] )
% 1.00/1.38 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 249, [ =( X, 'double_divide'( 'double_divide'( identity,
% 1.00/1.38 identity ), 'double_divide'( identity, X ) ) ) ] )
% 1.00/1.38 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 1.00/1.38 X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 251, [ =( X, 'double_divide'( identity, 'double_divide'( identity,
% 1.00/1.38 X ) ) ) ] )
% 1.00/1.38 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 1.00/1.38 , 0, clause( 250, [ =( X, 'double_divide'( inverse( identity ),
% 1.00/1.38 'double_divide'( identity, X ) ) ) ] )
% 1.00/1.38 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 252, [ =( 'double_divide'( identity, 'double_divide'( identity, X )
% 1.00/1.38 ), X ) ] )
% 1.00/1.38 , clause( 251, [ =( X, 'double_divide'( identity, 'double_divide'( identity
% 1.00/1.38 , X ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 44, [ =( 'double_divide'( identity, 'double_divide'( identity, X )
% 1.00/1.38 ), X ) ] )
% 1.00/1.38 , clause( 252, [ =( 'double_divide'( identity, 'double_divide'( identity, X
% 1.00/1.38 ) ), X ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 254, [ =( X, 'double_divide'( identity, 'double_divide'( identity,
% 1.00/1.38 X ) ) ) ] )
% 1.00/1.38 , clause( 44, [ =( 'double_divide'( identity, 'double_divide'( identity, X
% 1.00/1.38 ) ), X ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 255, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 1.00/1.38 , clause( 40, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 1.00/1.38 , 0, clause( 254, [ =( X, 'double_divide'( identity, 'double_divide'(
% 1.00/1.38 identity, X ) ) ) ] )
% 1.00/1.38 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.00/1.38 X ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 256, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 1.00/1.38 , clause( 255, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 48, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 1.00/1.38 , clause( 256, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 257, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 1.00/1.38 , clause( 48, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 259, [ =( inverse( inverse( X ) ), X ) ] )
% 1.00/1.38 , clause( 40, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 1.00/1.38 , 0, clause( 257, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 1.00/1.38 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.00/1.38 X ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 52, [ =( inverse( inverse( X ) ), X ) ] )
% 1.00/1.38 , clause( 259, [ =( inverse( inverse( X ) ), X ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 262, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 1.00/1.38 , X ) ) ] )
% 1.00/1.38 , clause( 39, [ =( 'double_divide'( 'double_divide'( identity, X ), X ),
% 1.00/1.38 identity ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 263, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 1.00/1.38 , clause( 48, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 262, [ =( identity, 'double_divide'( 'double_divide'( identity
% 1.00/1.38 , X ), X ) ) ] )
% 1.00/1.38 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.00/1.38 ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 264, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 1.00/1.38 , clause( 263, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 53, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 1.00/1.38 , clause( 264, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 266, [ =( X, inverse( inverse( X ) ) ) ] )
% 1.00/1.38 , clause( 52, [ =( inverse( inverse( X ) ), X ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 267, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 266, [ =( X, inverse( inverse( X ) ) ) ] )
% 1.00/1.38 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.00/1.38 :=( X, 'double_divide'( X, Y ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 268, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 267, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 1.00/1.38 ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 59, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 268, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 1.00/1.38 ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 270, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 1.00/1.38 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 278, [ =( X, 'double_divide'( 'double_divide'( identity, inverse( Y
% 1.00/1.38 ) ), 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 1.00/1.38 identity ) ), identity ) ) ) ] )
% 1.00/1.38 , clause( 53, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 1.00/1.38 , 0, clause( 270, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 1.00/1.38 , 0, 14, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 1.00/1.38 inverse( Y ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 279, [ =( X, 'double_divide'( Y, 'double_divide'( 'double_divide'(
% 1.00/1.38 'double_divide'( X, Y ), inverse( identity ) ), identity ) ) ) ] )
% 1.00/1.38 , clause( 40, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 1.00/1.38 , 0, clause( 278, [ =( X, 'double_divide'( 'double_divide'( identity,
% 1.00/1.38 inverse( Y ) ), 'double_divide'( 'double_divide'( 'double_divide'( X, Y )
% 1.00/1.38 , inverse( identity ) ), identity ) ) ) ] )
% 1.00/1.38 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.00/1.38 :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 280, [ =( X, 'double_divide'( Y, inverse( 'double_divide'(
% 1.00/1.38 'double_divide'( X, Y ), inverse( identity ) ) ) ) ) ] )
% 1.00/1.38 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 279, [ =( X, 'double_divide'( Y, 'double_divide'(
% 1.00/1.38 'double_divide'( 'double_divide'( X, Y ), inverse( identity ) ), identity
% 1.00/1.38 ) ) ) ] )
% 1.00/1.38 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'( X, Y )
% 1.00/1.38 , inverse( identity ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.00/1.38 ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 281, [ =( X, 'double_divide'( Y, multiply( inverse( identity ),
% 1.00/1.38 'double_divide'( X, Y ) ) ) ) ] )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 280, [ =( X, 'double_divide'( Y, inverse( 'double_divide'(
% 1.00/1.38 'double_divide'( X, Y ), inverse( identity ) ) ) ) ) ] )
% 1.00/1.38 , 0, 4, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y,
% 1.00/1.38 'double_divide'( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.00/1.38 ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 282, [ =( X, 'double_divide'( Y, multiply( identity,
% 1.00/1.38 'double_divide'( X, Y ) ) ) ) ] )
% 1.00/1.38 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 1.00/1.38 , 0, clause( 281, [ =( X, 'double_divide'( Y, multiply( inverse( identity )
% 1.00/1.38 , 'double_divide'( X, Y ) ) ) ) ] )
% 1.00/1.38 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.00/1.38 ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 283, [ =( X, 'double_divide'( Y, inverse( inverse( 'double_divide'(
% 1.00/1.38 X, Y ) ) ) ) ) ] )
% 1.00/1.38 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 1.00/1.38 , 0, clause( 282, [ =( X, 'double_divide'( Y, multiply( identity,
% 1.00/1.38 'double_divide'( X, Y ) ) ) ) ] )
% 1.00/1.38 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 1.00/1.38 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 284, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 1.00/1.38 , clause( 52, [ =( inverse( inverse( X ) ), X ) ] )
% 1.00/1.38 , 0, clause( 283, [ =( X, 'double_divide'( Y, inverse( inverse(
% 1.00/1.38 'double_divide'( X, Y ) ) ) ) ) ] )
% 1.00/1.38 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 1.00/1.38 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 285, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 1.00/1.38 , clause( 284, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 61, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 1.00/1.38 , clause( 285, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 286, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ] )
% 1.00/1.38 , clause( 61, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 289, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 1.00/1.38 , clause( 61, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 1.00/1.38 , 0, clause( 286, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.00/1.38 :=( X, 'double_divide'( Y, X ) ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 290, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 1.00/1.38 , clause( 289, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 64, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 1.00/1.38 , clause( 290, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 292, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ] )
% 1.00/1.38 , clause( 64, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 306, [ =( 'double_divide'( identity, 'double_divide'( X, inverse( Y
% 1.00/1.38 ) ) ), 'double_divide'( Y, 'double_divide'( identity, X ) ) ) ] )
% 1.00/1.38 , clause( 17, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 1.00/1.38 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 292, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.00/1.38 :=( X, 'double_divide'( identity, X ) ), :=( Y, 'double_divide'( identity
% 1.00/1.38 , 'double_divide'( X, inverse( Y ) ) ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 308, [ =( 'double_divide'( identity, 'double_divide'( X, inverse( Y
% 1.00/1.38 ) ) ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 1.00/1.38 , clause( 48, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 306, [ =( 'double_divide'( identity, 'double_divide'( X,
% 1.00/1.38 inverse( Y ) ) ), 'double_divide'( Y, 'double_divide'( identity, X ) ) )
% 1.00/1.38 ] )
% 1.00/1.38 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.00/1.38 :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 310, [ =( inverse( 'double_divide'( X, inverse( Y ) ) ),
% 1.00/1.38 'double_divide'( Y, inverse( X ) ) ) ] )
% 1.00/1.38 , clause( 48, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 308, [ =( 'double_divide'( identity, 'double_divide'( X,
% 1.00/1.38 inverse( Y ) ) ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 1.00/1.38 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, inverse( Y ) ) )] ),
% 1.00/1.38 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 311, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 1.00/1.38 X ) ) ) ] )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 310, [ =( inverse( 'double_divide'( X, inverse( Y ) ) ),
% 1.00/1.38 'double_divide'( Y, inverse( X ) ) ) ] )
% 1.00/1.38 , 0, 1, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 1.00/1.38 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 73, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 1.00/1.38 X ) ) ) ] )
% 1.00/1.38 , clause( 311, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y,
% 1.00/1.38 inverse( X ) ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 314, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ] )
% 1.00/1.38 , clause( 64, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 340, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X, Y )
% 1.00/1.38 , inverse( identity ) ), 'double_divide'( Z, Y ) ), 'double_divide'( X,
% 1.00/1.38 'double_divide'( identity, Z ) ) ) ] )
% 1.00/1.38 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 1.00/1.38 , 0, clause( 314, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.00/1.38 substitution( 1, [ :=( X, 'double_divide'( identity, Z ) ), :=( Y,
% 1.00/1.38 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 1.00/1.38 identity ) ), 'double_divide'( Z, Y ) ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 341, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X, Y )
% 1.00/1.38 , inverse( identity ) ), 'double_divide'( Z, Y ) ), 'double_divide'( X,
% 1.00/1.38 inverse( Z ) ) ) ] )
% 1.00/1.38 , clause( 48, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 340, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 1.00/1.38 , Y ), inverse( identity ) ), 'double_divide'( Z, Y ) ), 'double_divide'(
% 1.00/1.38 X, 'double_divide'( identity, Z ) ) ) ] )
% 1.00/1.38 , 0, 13, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 1.00/1.38 :=( Y, Y ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 342, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X, Y )
% 1.00/1.38 , identity ), 'double_divide'( Z, Y ) ), 'double_divide'( X, inverse( Z )
% 1.00/1.38 ) ) ] )
% 1.00/1.38 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 1.00/1.38 , 0, clause( 341, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 1.00/1.38 , Y ), inverse( identity ) ), 'double_divide'( Z, Y ) ), 'double_divide'(
% 1.00/1.38 X, inverse( Z ) ) ) ] )
% 1.00/1.38 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 1.00/1.38 :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 343, [ =( 'double_divide'( inverse( 'double_divide'( X, Y ) ),
% 1.00/1.38 'double_divide'( Z, Y ) ), 'double_divide'( X, inverse( Z ) ) ) ] )
% 1.00/1.38 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 1.00/1.38 , 0, clause( 342, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 1.00/1.38 , Y ), identity ), 'double_divide'( Z, Y ) ), 'double_divide'( X, inverse(
% 1.00/1.38 Z ) ) ) ] )
% 1.00/1.38 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 1.00/1.38 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 344, [ =( 'double_divide'( multiply( Y, X ), 'double_divide'( Z, Y
% 1.00/1.38 ) ), 'double_divide'( X, inverse( Z ) ) ) ] )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 343, [ =( 'double_divide'( inverse( 'double_divide'( X, Y ) )
% 1.00/1.38 , 'double_divide'( Z, Y ) ), 'double_divide'( X, inverse( Z ) ) ) ] )
% 1.00/1.38 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.00/1.38 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 76, [ =( 'double_divide'( multiply( Z, Y ), 'double_divide'( X, Z )
% 1.00/1.38 ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 1.00/1.38 , clause( 344, [ =( 'double_divide'( multiply( Y, X ), 'double_divide'( Z,
% 1.00/1.38 Y ) ), 'double_divide'( X, inverse( Z ) ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.00/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 347, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 348, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 64, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 1.00/1.38 , 0, clause( 347, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 1.00/1.38 ) ] )
% 1.00/1.38 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.00/1.38 :=( X, 'double_divide'( X, Y ) ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 79, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , clause( 348, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) )
% 1.00/1.38 ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 351, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse( X
% 1.00/1.38 ), Y ) ) ] )
% 1.00/1.38 , clause( 73, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 1.00/1.38 X ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 353, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply(
% 1.00/1.38 X, Y ) ) ] )
% 1.00/1.38 , clause( 52, [ =( inverse( inverse( X ) ), X ) ] )
% 1.00/1.38 , 0, clause( 351, [ =( 'double_divide'( X, inverse( Y ) ), multiply(
% 1.00/1.38 inverse( X ), Y ) ) ] )
% 1.00/1.38 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.00/1.38 X ) ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 83, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply( X
% 1.00/1.38 , Y ) ) ] )
% 1.00/1.38 , clause( 353, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply(
% 1.00/1.38 X, Y ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.00/1.38 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 357, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse( X
% 1.00/1.38 ), Y ) ) ] )
% 1.00/1.38 , clause( 73, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse(
% 1.00/1.38 X ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 361, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 1.00/1.38 , multiply( multiply( Y, X ), Z ) ) ] )
% 1.00/1.38 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 357, [ =( 'double_divide'( X, inverse( Y ) ), multiply(
% 1.00/1.38 inverse( X ), Y ) ) ] )
% 1.00/1.38 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.00/1.38 :=( X, 'double_divide'( X, Y ) ), :=( Y, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 86, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ),
% 1.00/1.38 multiply( multiply( Y, X ), Z ) ) ] )
% 1.00/1.38 , clause( 361, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z )
% 1.00/1.38 ), multiply( multiply( Y, X ), Z ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.00/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 365, [ =( multiply( X, Y ), 'double_divide'( inverse( X ), inverse(
% 1.00/1.38 Y ) ) ) ] )
% 1.00/1.38 , clause( 83, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply(
% 1.00/1.38 X, Y ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 369, [ =( multiply( X, multiply( Y, Z ) ), 'double_divide'( inverse(
% 1.00/1.38 X ), 'double_divide'( Z, Y ) ) ) ] )
% 1.00/1.38 , clause( 59, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 365, [ =( multiply( X, Y ), 'double_divide'( inverse( X ),
% 1.00/1.38 inverse( Y ) ) ) ] )
% 1.00/1.38 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 1.00/1.38 :=( X, X ), :=( Y, multiply( Y, Z ) )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 371, [ =( 'double_divide'( inverse( X ), 'double_divide'( Z, Y ) )
% 1.00/1.38 , multiply( X, multiply( Y, Z ) ) ) ] )
% 1.00/1.38 , clause( 369, [ =( multiply( X, multiply( Y, Z ) ), 'double_divide'(
% 1.00/1.38 inverse( X ), 'double_divide'( Z, Y ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 87, [ =( 'double_divide'( inverse( Z ), 'double_divide'( Y, X ) ),
% 1.00/1.38 multiply( Z, multiply( X, Y ) ) ) ] )
% 1.00/1.38 , clause( 371, [ =( 'double_divide'( inverse( X ), 'double_divide'( Z, Y )
% 1.00/1.38 ), multiply( X, multiply( Y, Z ) ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.00/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 381, [ ~( =( identity, identity ) ), ~( =( multiply( a3, multiply(
% 1.00/1.38 b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( inverse(
% 1.00/1.38 inverse( a2 ) ), a2 ) ) ] )
% 1.00/1.38 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 1.00/1.38 , 0, clause( 21, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 1.00/1.38 multiply( a3, b3 ), c3 ) ) ), ~( =( inverse( identity ), identity ) ),
% 1.00/1.38 ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 1.00/1.38 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqrefl(
% 1.00/1.38 clause( 382, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 1.00/1.38 a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 1.00/1.38 , clause( 381, [ ~( =( identity, identity ) ), ~( =( multiply( a3, multiply(
% 1.00/1.38 b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( inverse(
% 1.00/1.38 inverse( a2 ) ), a2 ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 383, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 1.00/1.38 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , clause( 52, [ =( inverse( inverse( X ) ), X ) ] )
% 1.00/1.38 , 0, clause( 382, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 1.00/1.38 multiply( a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 1.00/1.38 , 1, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqrefl(
% 1.00/1.38 clause( 384, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 1.00/1.38 a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , clause( 383, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) )
% 1.00/1.38 , multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 95, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 1.00/1.38 a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , clause( 384, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 1.00/1.38 multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 387, [ =( 'double_divide'( Y, inverse( Z ) ), 'double_divide'(
% 1.00/1.38 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ] )
% 1.00/1.38 , clause( 76, [ =( 'double_divide'( multiply( Z, Y ), 'double_divide'( X, Z
% 1.00/1.38 ) ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 391, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 1.00/1.38 , 'double_divide'( inverse( Y ), 'double_divide'( Z, X ) ) ) ] )
% 1.00/1.38 , clause( 79, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 1.00/1.38 )
% 1.00/1.38 , 0, clause( 387, [ =( 'double_divide'( Y, inverse( Z ) ), 'double_divide'(
% 1.00/1.38 multiply( X, Y ), 'double_divide'( Z, X ) ) ) ] )
% 1.00/1.38 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.00/1.38 :=( X, X ), :=( Y, 'double_divide'( X, Y ) ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 392, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 1.00/1.38 , multiply( Y, multiply( X, Z ) ) ) ] )
% 1.00/1.38 , clause( 87, [ =( 'double_divide'( inverse( Z ), 'double_divide'( Y, X ) )
% 1.00/1.38 , multiply( Z, multiply( X, Y ) ) ) ] )
% 1.00/1.38 , 0, clause( 391, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z
% 1.00/1.38 ) ), 'double_divide'( inverse( Y ), 'double_divide'( Z, X ) ) ) ] )
% 1.00/1.38 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.00/1.38 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 paramod(
% 1.00/1.38 clause( 393, [ =( multiply( multiply( Y, X ), Z ), multiply( Y, multiply( X
% 1.00/1.38 , Z ) ) ) ] )
% 1.00/1.38 , clause( 86, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 1.00/1.38 , multiply( multiply( Y, X ), Z ) ) ] )
% 1.00/1.38 , 0, clause( 392, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z
% 1.00/1.38 ) ), multiply( Y, multiply( X, Z ) ) ) ] )
% 1.00/1.38 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.00/1.38 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 394, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.00/1.38 ), Z ) ) ] )
% 1.00/1.38 , clause( 393, [ =( multiply( multiply( Y, X ), Z ), multiply( Y, multiply(
% 1.00/1.38 X, Z ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 126, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y, X
% 1.00/1.38 ), Z ) ) ] )
% 1.00/1.38 , clause( 394, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 1.00/1.38 , Y ), Z ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.00/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 395, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 1.00/1.38 , Z ) ) ) ] )
% 1.00/1.38 , clause( 126, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y
% 1.00/1.38 , X ), Z ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 eqswap(
% 1.00/1.38 clause( 396, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 1.00/1.38 multiply( b3, c3 ) ) ) ) ] )
% 1.00/1.38 , clause( 95, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 1.00/1.38 multiply( a3, b3 ), c3 ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 resolution(
% 1.00/1.38 clause( 397, [] )
% 1.00/1.38 , clause( 396, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 1.00/1.38 multiply( b3, c3 ) ) ) ) ] )
% 1.00/1.38 , 0, clause( 395, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 1.00/1.38 multiply( Y, Z ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ),
% 1.00/1.38 :=( Z, c3 )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 129, [] )
% 1.00/1.38 , clause( 397, [] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 end.
% 1.00/1.38
% 1.00/1.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.00/1.38
% 1.00/1.38 Memory use:
% 1.00/1.38
% 1.00/1.38 space for terms: 1650
% 1.00/1.38 space for clauses: 15789
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 clauses generated: 801
% 1.00/1.38 clauses kept: 130
% 1.00/1.38 clauses selected: 40
% 1.00/1.38 clauses deleted: 45
% 1.00/1.38 clauses inuse deleted: 0
% 1.00/1.38
% 1.00/1.38 subsentry: 1017
% 1.00/1.38 literals s-matched: 260
% 1.00/1.38 literals matched: 258
% 1.00/1.38 full subsumption: 0
% 1.00/1.38
% 1.00/1.38 checksum: 1516557694
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Bliksem ended
%------------------------------------------------------------------------------