TSTP Solution File: GRP076-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP076-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:34:44 EDT 2022
% Result : Unsatisfiable 0.75s 1.35s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP076-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 02:20:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.35 *** allocated 10000 integers for termspace/termends
% 0.75/1.35 *** allocated 10000 integers for clauses
% 0.75/1.35 *** allocated 10000 integers for justifications
% 0.75/1.35 Bliksem 1.12
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Automatic Strategy Selection
% 0.75/1.35
% 0.75/1.35 Clauses:
% 0.75/1.35 [
% 0.75/1.35 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.35 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.75/1.35 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ],
% 0.75/1.35 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.75/1.35 identity ) ) ],
% 0.75/1.35 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.75/1.35 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.75/1.35 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =( multiply(
% 0.75/1.35 identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3 ),
% 0.75/1.35 multiply( a3, multiply( b3, c3 ) ) ) ) ]
% 0.75/1.35 ] .
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 percentage equality = 1.000000, percentage horn = 1.000000
% 0.75/1.35 This is a pure equality problem
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Options Used:
% 0.75/1.35
% 0.75/1.35 useres = 1
% 0.75/1.35 useparamod = 1
% 0.75/1.35 useeqrefl = 1
% 0.75/1.35 useeqfact = 1
% 0.75/1.35 usefactor = 1
% 0.75/1.35 usesimpsplitting = 0
% 0.75/1.35 usesimpdemod = 5
% 0.75/1.35 usesimpres = 3
% 0.75/1.35
% 0.75/1.35 resimpinuse = 1000
% 0.75/1.35 resimpclauses = 20000
% 0.75/1.35 substype = eqrewr
% 0.75/1.35 backwardsubs = 1
% 0.75/1.35 selectoldest = 5
% 0.75/1.35
% 0.75/1.35 litorderings [0] = split
% 0.75/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.35
% 0.75/1.35 termordering = kbo
% 0.75/1.35
% 0.75/1.35 litapriori = 0
% 0.75/1.35 termapriori = 1
% 0.75/1.35 litaposteriori = 0
% 0.75/1.35 termaposteriori = 0
% 0.75/1.35 demodaposteriori = 0
% 0.75/1.35 ordereqreflfact = 0
% 0.75/1.35
% 0.75/1.35 litselect = negord
% 0.75/1.35
% 0.75/1.35 maxweight = 15
% 0.75/1.35 maxdepth = 30000
% 0.75/1.35 maxlength = 115
% 0.75/1.35 maxnrvars = 195
% 0.75/1.35 excuselevel = 1
% 0.75/1.35 increasemaxweight = 1
% 0.75/1.35
% 0.75/1.35 maxselected = 10000000
% 0.75/1.35 maxnrclauses = 10000000
% 0.75/1.35
% 0.75/1.35 showgenerated = 0
% 0.75/1.35 showkept = 0
% 0.75/1.35 showselected = 0
% 0.75/1.35 showdeleted = 0
% 0.75/1.35 showresimp = 1
% 0.75/1.35 showstatus = 2000
% 0.75/1.35
% 0.75/1.35 prologoutput = 1
% 0.75/1.35 nrgoals = 5000000
% 0.75/1.35 totalproof = 1
% 0.75/1.35
% 0.75/1.35 Symbols occurring in the translation:
% 0.75/1.35
% 0.75/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.35 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.75/1.35 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.75/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.35 'double_divide' [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.75/1.35 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.35 multiply [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.75/1.35 inverse [45, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.75/1.35 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.35 a2 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.35 a3 [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.75/1.35 b3 [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.75/1.35 c3 [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Starting Search:
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Failed to find proof!
% 0.75/1.35 maxweight = 15
% 0.75/1.35 maxnrclauses = 10000000
% 0.75/1.35 Generated: 3732
% 0.75/1.35 Kept: 166
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 The strategy used was not complete!
% 0.75/1.35
% 0.75/1.35 Increased maxweight to 16
% 0.75/1.35
% 0.75/1.35 Starting Search:
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Failed to find proof!
% 0.75/1.35 maxweight = 16
% 0.75/1.35 maxnrclauses = 10000000
% 0.75/1.35 Generated: 3947
% 0.75/1.35 Kept: 169
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 The strategy used was not complete!
% 0.75/1.35
% 0.75/1.35 Increased maxweight to 17
% 0.75/1.35
% 0.75/1.35 Starting Search:
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Failed to find proof!
% 0.75/1.35 maxweight = 17
% 0.75/1.35 maxnrclauses = 10000000
% 0.75/1.35 Generated: 4946
% 0.75/1.35 Kept: 194
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 The strategy used was not complete!
% 0.75/1.35
% 0.75/1.35 Increased maxweight to 18
% 0.75/1.35
% 0.75/1.35 Starting Search:
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Failed to find proof!
% 0.75/1.35 maxweight = 18
% 0.75/1.35 maxnrclauses = 10000000
% 0.75/1.35 Generated: 5021
% 0.75/1.35 Kept: 202
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 The strategy used was not complete!
% 0.75/1.35
% 0.75/1.35 Increased maxweight to 19
% 0.75/1.35
% 0.75/1.35 Starting Search:
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 Failed to find proof!
% 0.75/1.35 maxweight = 19
% 0.75/1.35 maxnrclauses = 10000000
% 0.75/1.35 Generated: 8355
% 0.75/1.35 Kept: 226
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 The strategy used was not complete!
% 0.75/1.35
% 0.75/1.35 Increased maxweight to 20
% 0.75/1.35
% 0.75/1.35 Starting Search:
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Bliksems!, er is een bewijs:
% 0.75/1.35 % SZS status Unsatisfiable
% 0.75/1.35 % SZS output start Refutation
% 0.75/1.35
% 0.75/1.35 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.35 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.75/1.35 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.75/1.35 multiply( X, Y ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.75/1.35 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.75/1.35 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.75/1.35 ), identity ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.35 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.35 identity ) ), Z ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 11, [ =( 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.75/1.35 X ), Y ), Z ), inverse( Y ) ), 'double_divide'( 'double_divide'( X, Z ),
% 0.75/1.35 inverse( identity ) ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 15, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.35 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.75/1.35 )
% 0.75/1.35 .
% 0.75/1.35 clause( 22, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.75/1.35 a3, b3 ), c3 ) ) ), ~( =( inverse( identity ), identity ) ), ~( =(
% 0.75/1.35 inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 29, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.75/1.35 inverse( inverse( X ) ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 33, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.75/1.35 inverse( inverse( X ) ) ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 38, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( Y, X ) )
% 0.75/1.35 ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 51, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.75/1.35 inverse( identity ), X ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 54, [ =( multiply( inverse( identity ), X ), inverse( inverse( X )
% 0.75/1.35 ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 59, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 63, [ =( inverse( identity ), identity ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 66, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 70, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 79, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 82, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y ) )
% 0.75/1.35 ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 84, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X ) ),
% 0.75/1.35 identity ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 90, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 95, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.75/1.35 )
% 0.75/1.35 .
% 0.75/1.35 clause( 96, [ =( 'double_divide'( 'double_divide'( identity, Y ), inverse(
% 0.75/1.35 X ) ), multiply( Y, X ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 97, [ =( multiply( X, multiply( inverse( X ), identity ) ),
% 0.75/1.35 identity ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 100, [ =( 'double_divide'( inverse( Y ), multiply( X, Y ) ),
% 0.75/1.35 inverse( X ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 109, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 112, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 117, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 118, [ =( 'double_divide'( 'double_divide'( inverse( X ), Y ),
% 0.75/1.35 inverse( X ) ), Y ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 125, [ =( 'double_divide'( inverse( Y ), inverse( X ) ), multiply(
% 0.75/1.35 Y, X ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 127, [ =( 'double_divide'( 'double_divide'( X, Y ), X ), Y ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 131, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 147, [ =( multiply( 'double_divide'( Y, X ), X ), inverse( Y ) ) ]
% 0.75/1.35 )
% 0.75/1.35 .
% 0.75/1.35 clause( 150, [ =( multiply( inverse( X ), Y ), 'double_divide'( X, inverse(
% 0.75/1.35 Y ) ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 154, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 0.75/1.35 , multiply( multiply( Y, X ), Z ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 156, [ =( multiply( Y, inverse( X ) ), 'double_divide'( inverse( Y
% 0.75/1.35 ), X ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 157, [ =( 'double_divide'( 'double_divide'( multiply( X, Y ), Z ),
% 0.75/1.35 Y ), multiply( Z, X ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 159, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.75/1.35 a3, b3 ), c3 ) ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 162, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z, X
% 0.75/1.35 ), Y ) ) ] )
% 0.75/1.35 .
% 0.75/1.35 clause( 167, [] )
% 0.75/1.35 .
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 % SZS output end Refutation
% 0.75/1.35 found a proof!
% 0.75/1.35
% 0.75/1.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.35
% 0.75/1.35 initialclauses(
% 0.75/1.35 [ clause( 169, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.35 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.75/1.35 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.75/1.35 , clause( 170, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.75/1.35 X ), identity ) ) ] )
% 0.75/1.35 , clause( 171, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.75/1.35 , clause( 172, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.75/1.35 , clause( 173, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.75/1.35 multiply( identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3
% 0.75/1.35 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 0.75/1.35 ] ).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 subsumption(
% 0.75/1.35 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.35 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.75/1.35 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.75/1.35 , clause( 169, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.35 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.75/1.35 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.75/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 eqswap(
% 0.75/1.35 clause( 176, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.75/1.35 multiply( X, Y ) ) ] )
% 0.75/1.35 , clause( 170, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.75/1.35 X ), identity ) ) ] )
% 0.75/1.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 subsumption(
% 0.75/1.35 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.75/1.35 multiply( X, Y ) ) ] )
% 0.75/1.35 , clause( 176, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.75/1.35 multiply( X, Y ) ) ] )
% 0.75/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.35 )] ) ).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 eqswap(
% 0.75/1.35 clause( 179, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.35 , clause( 171, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.75/1.35 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 subsumption(
% 0.75/1.35 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.35 , clause( 179, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 eqswap(
% 0.75/1.35 clause( 183, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.35 , clause( 172, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.75/1.35 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 subsumption(
% 0.75/1.35 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.35 , clause( 183, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 eqswap(
% 0.75/1.35 clause( 190, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.75/1.35 a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), identity ) ),
% 0.75/1.35 ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.75/1.35 , clause( 173, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.75/1.35 multiply( identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3
% 0.75/1.36 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 0.75/1.36 , 2, substitution( 0, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.75/1.36 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.75/1.36 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , clause( 190, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.75/1.36 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 0.75/1.36 identity ) ), ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.75/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.75/1.36 , 1 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 197, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.75/1.36 multiply( X, Y ) ) ] )
% 0.75/1.36 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.75/1.36 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.75/1.36 , clause( 197, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.75/1.36 ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 200, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 203, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.75/1.36 multiply( Y, X ) ) ) ] )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 200, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.36 :=( X, 'double_divide'( X, Y ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 204, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.75/1.36 ) ), identity ) ] )
% 0.75/1.36 , clause( 203, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.75/1.36 multiply( Y, X ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.75/1.36 ), identity ) ] )
% 0.75/1.36 , clause( 204, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y,
% 0.75/1.36 X ) ), identity ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 206, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 209, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.75/1.36 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.36 , 0, clause( 206, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, inverse( X ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.75/1.36 , clause( 209, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 212, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 215, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 212, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, identity )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 215, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 221, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.75/1.36 identity ) ) ), inverse( identity ) ), Z ) ] )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.75/1.36 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.75/1.36 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.75/1.36 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 223, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ), Z ) ] )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 221, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), 'double_divide'( Y,
% 0.75/1.36 identity ) ) ), inverse( identity ) ), Z ) ] )
% 0.75/1.36 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ), Z ) ] )
% 0.75/1.36 , clause( 223, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ), Z ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 225, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ) ) ] )
% 0.75/1.36 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ), Z ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 229, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.75/1.36 'double_divide'( X, identity ), Y ), Z ), inverse( Y ) ), 'double_divide'(
% 0.75/1.36 'double_divide'( X, Z ), inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ), Z ) ] )
% 0.75/1.36 , 0, clause( 225, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.75/1.36 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.75/1.36 Y ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 14, substitution( 0, [ :=( X, 'double_divide'( X, identity ) ), :=( Y
% 0.75/1.36 , Y ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, identity ),
% 0.75/1.36 :=( Z, 'double_divide'( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.75/1.36 X, identity ), Y ), Z ), inverse( Y ) ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 232, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.75/1.36 inverse( X ), Y ), Z ), inverse( Y ) ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, Z ), inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 229, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.75/1.36 'double_divide'( X, identity ), Y ), Z ), inverse( Y ) ), 'double_divide'(
% 0.75/1.36 'double_divide'( X, Z ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 11, [ =( 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.75/1.36 X ), Y ), Z ), inverse( Y ) ), 'double_divide'( 'double_divide'( X, Z ),
% 0.75/1.36 inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 232, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.75/1.36 inverse( X ), Y ), Z ), inverse( Y ) ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, Z ), inverse( identity ) ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 235, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ) ) ] )
% 0.75/1.36 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ), Z ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 238, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.75/1.36 'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.75/1.36 ) ), identity ) ] )
% 0.75/1.36 , 0, clause( 235, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.75/1.36 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.75/1.36 Y ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.36 :=( X, Y ), :=( Y, X ), :=( Z, multiply( X, Y ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 240, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.75/1.36 identity, inverse( X ) ) ), inverse( identity ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 238, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.75/1.36 'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 15, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 240, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.75/1.36 identity, inverse( X ) ) ), inverse( identity ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 251, [ ~( =( inverse( identity ), identity ) ), ~( =( multiply(
% 0.75/1.36 identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 0.75/1.36 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.75/1.36 , 0, clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.75/1.36 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.75/1.36 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , 0, 2, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 252, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( inverse(
% 0.75/1.36 identity ), identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 0.75/1.36 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , 0, clause( 251, [ ~( =( inverse( identity ), identity ) ), ~( =( multiply(
% 0.75/1.36 identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 0.75/1.36 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , 1, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 22, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.75/1.36 a3, b3 ), c3 ) ) ), ~( =( inverse( identity ), identity ) ), ~( =(
% 0.75/1.36 inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.75/1.36 , clause( 252, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( inverse(
% 0.75/1.36 identity ), identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 0.75/1.36 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.75/1.36 , 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 261, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'( X,
% 0.75/1.36 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 15, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 264, [ =( multiply( identity, X ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, identity ), inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.36 , 0, clause( 261, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.75/1.36 X ), :=( Y, identity )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 265, [ =( multiply( identity, X ), 'double_divide'( inverse( X ),
% 0.75/1.36 inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 264, [ =( multiply( identity, X ), 'double_divide'(
% 0.75/1.36 'double_divide'( X, identity ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 266, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X ),
% 0.75/1.36 inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , 0, clause( 265, [ =( multiply( identity, X ), 'double_divide'( inverse( X
% 0.75/1.36 ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 267, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.75/1.36 inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 266, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X )
% 0.75/1.36 , inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 29, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.75/1.36 inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 267, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.75/1.36 inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 269, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 276, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.75/1.36 inverse( inverse( X ) ) ) ) ] )
% 0.75/1.36 , clause( 29, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.75/1.36 inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , 0, clause( 269, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.75/1.36 X ) ), :=( Y, inverse( identity ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 33, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.75/1.36 inverse( inverse( X ) ) ) ) ] )
% 0.75/1.36 , clause( 276, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.75/1.36 inverse( inverse( X ) ) ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 278, [ =( 'double_divide'( 'double_divide'( X, Z ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.75/1.36 X ), Y ), Z ), inverse( Y ) ) ) ] )
% 0.75/1.36 , clause( 11, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.75/1.36 inverse( X ), Y ), Z ), inverse( Y ) ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, Z ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 284, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y,
% 0.75/1.36 'double_divide'( inverse( X ), identity ) ) ) ] )
% 0.75/1.36 , clause( 15, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 278, [ =( 'double_divide'( 'double_divide'( X, Z ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.75/1.36 X ), Y ), Z ), inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, 10, substitution( 0, [ :=( X, 'double_divide'( inverse( X ), identity
% 0.75/1.36 ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, identity ),
% 0.75/1.36 :=( Z, 'double_divide'( identity, inverse( Y ) ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 287, [ =( multiply( Y, X ), multiply( Y, 'double_divide'( inverse(
% 0.75/1.36 X ), identity ) ) ) ] )
% 0.75/1.36 , clause( 15, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 284, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y,
% 0.75/1.36 'double_divide'( inverse( X ), identity ) ) ) ] )
% 0.75/1.36 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.36 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 288, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y ) ) )
% 0.75/1.36 ) ] )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 287, [ =( multiply( Y, X ), multiply( Y, 'double_divide'(
% 0.75/1.36 inverse( X ), identity ) ) ) ] )
% 0.75/1.36 , 0, 6, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.75/1.36 :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 289, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.75/1.36 ) ] )
% 0.75/1.36 , clause( 288, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y ) )
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 38, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( Y, X ) )
% 0.75/1.36 ] )
% 0.75/1.36 , clause( 289, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 290, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y ) ) )
% 0.75/1.36 ) ] )
% 0.75/1.36 , clause( 38, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( Y, X )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 293, [ =( multiply( inverse( identity ), X ), inverse( inverse(
% 0.75/1.36 inverse( inverse( X ) ) ) ) ) ] )
% 0.75/1.36 , clause( 33, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.75/1.36 inverse( inverse( X ) ) ) ) ] )
% 0.75/1.36 , 0, clause( 290, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y )
% 0.75/1.36 ) ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.75/1.36 :=( X, inverse( identity ) ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 297, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.75/1.36 inverse( identity ), X ) ) ] )
% 0.75/1.36 , clause( 293, [ =( multiply( inverse( identity ), X ), inverse( inverse(
% 0.75/1.36 inverse( inverse( X ) ) ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 51, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.75/1.36 inverse( identity ), X ) ) ] )
% 0.75/1.36 , clause( 297, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.75/1.36 inverse( identity ), X ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 298, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y ) ) )
% 0.75/1.36 ) ] )
% 0.75/1.36 , clause( 38, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( Y, X )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 303, [ =( multiply( identity, X ), inverse( inverse( inverse(
% 0.75/1.36 inverse( X ) ) ) ) ) ] )
% 0.75/1.36 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , 0, clause( 298, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y )
% 0.75/1.36 ) ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.75/1.36 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 305, [ =( inverse( inverse( X ) ), inverse( inverse( inverse(
% 0.75/1.36 inverse( X ) ) ) ) ) ] )
% 0.75/1.36 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , 0, clause( 303, [ =( multiply( identity, X ), inverse( inverse( inverse(
% 0.75/1.36 inverse( X ) ) ) ) ) ] )
% 0.75/1.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 306, [ =( inverse( inverse( X ) ), multiply( inverse( identity ), X
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , clause( 51, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.75/1.36 inverse( identity ), X ) ) ] )
% 0.75/1.36 , 0, clause( 305, [ =( inverse( inverse( X ) ), inverse( inverse( inverse(
% 0.75/1.36 inverse( X ) ) ) ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 307, [ =( multiply( inverse( identity ), X ), inverse( inverse( X )
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , clause( 306, [ =( inverse( inverse( X ) ), multiply( inverse( identity )
% 0.75/1.36 , X ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 54, [ =( multiply( inverse( identity ), X ), inverse( inverse( X )
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , clause( 307, [ =( multiply( inverse( identity ), X ), inverse( inverse( X
% 0.75/1.36 ) ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 308, [ =( inverse( inverse( X ) ), multiply( inverse( identity ), X
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , clause( 54, [ =( multiply( inverse( identity ), X ), inverse( inverse( X
% 0.75/1.36 ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 310, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.75/1.36 , 0, clause( 308, [ =( inverse( inverse( X ) ), multiply( inverse( identity
% 0.75/1.36 ), X ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.75/1.36 identity )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 59, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ] )
% 0.75/1.36 , clause( 310, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 313, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 316, [ =( identity, 'double_divide'( inverse( identity ), inverse(
% 0.75/1.36 identity ) ) ) ] )
% 0.75/1.36 , clause( 59, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 313, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( identity
% 0.75/1.36 ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 317, [ =( identity, inverse( inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 29, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.75/1.36 inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , 0, clause( 316, [ =( identity, 'double_divide'( inverse( identity ),
% 0.75/1.36 inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 2, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 318, [ =( identity, inverse( identity ) ) ] )
% 0.75/1.36 , clause( 59, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 317, [ =( identity, inverse( inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 319, [ =( inverse( identity ), identity ) ] )
% 0.75/1.36 , clause( 318, [ =( identity, inverse( identity ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 63, [ =( inverse( identity ), identity ) ] )
% 0.75/1.36 , clause( 319, [ =( inverse( identity ), identity ) ] )
% 0.75/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 321, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ) ) ] )
% 0.75/1.36 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ), Z ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 328, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( Y, identity ), X ), inverse( identity )
% 0.75/1.36 ) ), identity ) ) ] )
% 0.75/1.36 , clause( 63, [ =( inverse( identity ), identity ) ] )
% 0.75/1.36 , 0, clause( 321, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.75/1.36 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.75/1.36 Y ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y,
% 0.75/1.36 identity ), :=( Z, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 330, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( Y, identity ), X ), identity ) ),
% 0.75/1.36 identity ) ) ] )
% 0.75/1.36 , clause( 63, [ =( inverse( identity ), identity ) ] )
% 0.75/1.36 , 0, clause( 328, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.75/1.36 'double_divide'( 'double_divide'( 'double_divide'( Y, identity ), X ),
% 0.75/1.36 inverse( identity ) ) ), identity ) ) ] )
% 0.75/1.36 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 340, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.75/1.36 'double_divide'( 'double_divide'( Y, identity ), X ) ) ), identity ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 330, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.75/1.36 'double_divide'( 'double_divide'( 'double_divide'( Y, identity ), X ),
% 0.75/1.36 identity ) ), identity ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'( Y,
% 0.75/1.36 identity ), X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 355, [ =( X, 'double_divide'( 'double_divide'( Y, multiply( X,
% 0.75/1.36 'double_divide'( Y, identity ) ) ), identity ) ) ] )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 340, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.75/1.36 'double_divide'( 'double_divide'( Y, identity ), X ) ) ), identity ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, 'double_divide'( Y, identity
% 0.75/1.36 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 356, [ =( X, inverse( 'double_divide'( Y, multiply( X,
% 0.75/1.36 'double_divide'( Y, identity ) ) ) ) ) ] )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 355, [ =( X, 'double_divide'( 'double_divide'( Y, multiply( X
% 0.75/1.36 , 'double_divide'( Y, identity ) ) ), identity ) ) ] )
% 0.75/1.36 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( Y, multiply( X,
% 0.75/1.36 'double_divide'( Y, identity ) ) ) )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 360, [ =( X, multiply( multiply( X, 'double_divide'( Y, identity )
% 0.75/1.36 ), Y ) ) ] )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 356, [ =( X, inverse( 'double_divide'( Y, multiply( X,
% 0.75/1.36 'double_divide'( Y, identity ) ) ) ) ) ] )
% 0.75/1.36 , 0, 2, substitution( 0, [ :=( X, multiply( X, 'double_divide'( Y, identity
% 0.75/1.36 ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 361, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 360, [ =( X, multiply( multiply( X, 'double_divide'( Y,
% 0.75/1.36 identity ) ), Y ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 362, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.75/1.36 , clause( 361, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 66, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.75/1.36 , clause( 362, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 364, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.75/1.36 , clause( 66, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 370, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.36 , clause( 38, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( Y, X )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, clause( 364, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.75/1.36 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.36 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 374, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.36 , clause( 370, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 70, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.36 , clause( 374, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 376, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.36 , clause( 70, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 378, [ =( inverse( X ), multiply( inverse( identity ), inverse( X )
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.75/1.36 , 0, clause( 376, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.75/1.36 X ) ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 379, [ =( inverse( X ), inverse( inverse( inverse( X ) ) ) ) ] )
% 0.75/1.36 , clause( 33, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.75/1.36 inverse( inverse( X ) ) ) ) ] )
% 0.75/1.36 , 0, clause( 378, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.75/1.36 X ) ) ) ] )
% 0.75/1.36 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 380, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.75/1.36 , clause( 379, [ =( inverse( X ), inverse( inverse( inverse( X ) ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 79, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.75/1.36 , clause( 380, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 382, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'( X,
% 0.75/1.36 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 15, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 384, [ =( multiply( inverse( inverse( X ) ), Y ), 'double_divide'(
% 0.75/1.36 'double_divide'( Y, 'double_divide'( identity, inverse( X ) ) ), inverse(
% 0.75/1.36 identity ) ) ) ] )
% 0.75/1.36 , clause( 79, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 382, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.75/1.36 :=( Y, inverse( inverse( X ) ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 385, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.75/1.36 ) ] )
% 0.75/1.36 , clause( 15, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 384, [ =( multiply( inverse( inverse( X ) ), Y ),
% 0.75/1.36 'double_divide'( 'double_divide'( Y, 'double_divide'( identity, inverse(
% 0.75/1.36 X ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.36 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 82, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y ) )
% 0.75/1.36 ] )
% 0.75/1.36 , clause( 385, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 388, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 389, [ =( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.75/1.36 inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 79, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 388, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.75/1.36 inverse( X ) ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 390, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X ) )
% 0.75/1.36 , identity ) ] )
% 0.75/1.36 , clause( 389, [ =( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.75/1.36 inverse( X ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 84, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X ) ),
% 0.75/1.36 identity ) ] )
% 0.75/1.36 , clause( 390, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X )
% 0.75/1.36 ), identity ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 392, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.36 , clause( 70, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 395, [ =( inverse( inverse( X ) ), multiply( multiply( X, Y ),
% 0.75/1.36 inverse( Y ) ) ) ] )
% 0.75/1.36 , clause( 82, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, clause( 392, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.36 :=( X, inverse( inverse( X ) ) ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 396, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , clause( 70, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.36 , 0, clause( 395, [ =( inverse( inverse( X ) ), multiply( multiply( X, Y )
% 0.75/1.36 , inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.36 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , clause( 396, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 399, [ =( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.75/1.36 inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 84, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X ) )
% 0.75/1.36 , identity ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 401, [ =( identity, 'double_divide'( inverse( inverse( inverse( X )
% 0.75/1.36 ) ), X ) ) ] )
% 0.75/1.36 , clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, clause( 399, [ =( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.75/1.36 inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.75/1.36 X ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 402, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 0.75/1.36 , clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, clause( 401, [ =( identity, 'double_divide'( inverse( inverse( inverse(
% 0.75/1.36 X ) ) ), X ) ) ] )
% 0.75/1.36 , 0, 3, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.75/1.36 :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 404, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.75/1.36 , clause( 402, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 90, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.75/1.36 , clause( 404, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 407, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 408, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 407, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.36 :=( X, 'double_divide'( X, Y ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 409, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 408, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 0.75/1.36 ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 95, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 409, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 0.75/1.36 ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 411, [ =( 'double_divide'( 'double_divide'( X, Z ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.75/1.36 X ), Y ), Z ), inverse( Y ) ) ) ] )
% 0.75/1.36 , clause( 11, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.75/1.36 inverse( X ), Y ), Z ), inverse( Y ) ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, Z ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 416, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( identity, Y ), inverse( X
% 0.75/1.36 ) ) ) ] )
% 0.75/1.36 , clause( 90, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.75/1.36 , 0, clause( 411, [ =( 'double_divide'( 'double_divide'( X, Z ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.75/1.36 X ), Y ), Z ), inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, X ), :=( Z, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 417, [ =( 'double_divide'( 'double_divide'( X, Y ), identity ),
% 0.75/1.36 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 63, [ =( inverse( identity ), identity ) ] )
% 0.75/1.36 , 0, clause( 416, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( identity, Y ), inverse( X
% 0.75/1.36 ) ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 418, [ =( inverse( 'double_divide'( X, Y ) ), 'double_divide'(
% 0.75/1.36 'double_divide'( identity, Y ), inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 417, [ =( 'double_divide'( 'double_divide'( X, Y ), identity )
% 0.75/1.36 , 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.75/1.36 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 419, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'(
% 0.75/1.36 identity, Y ), inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 418, [ =( inverse( 'double_divide'( X, Y ) ), 'double_divide'(
% 0.75/1.36 'double_divide'( identity, Y ), inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.36 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 420, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.75/1.36 Y ) ), multiply( X, Y ) ) ] )
% 0.75/1.36 , clause( 419, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'(
% 0.75/1.36 identity, Y ), inverse( X ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 96, [ =( 'double_divide'( 'double_divide'( identity, Y ), inverse(
% 0.75/1.36 X ) ), multiply( Y, X ) ) ] )
% 0.75/1.36 , clause( 420, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.75/1.36 inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 422, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'( X,
% 0.75/1.36 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 15, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 425, [ =( multiply( X, inverse( 'double_divide'( identity, inverse(
% 0.75/1.36 X ) ) ) ), 'double_divide'( identity, inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 90, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.75/1.36 , 0, clause( 422, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, 9, substitution( 0, [ :=( X, 'double_divide'( identity, inverse( X ) )
% 0.75/1.36 )] ), substitution( 1, [ :=( X, inverse( 'double_divide'( identity,
% 0.75/1.36 inverse( X ) ) ) ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 426, [ =( multiply( X, inverse( 'double_divide'( identity, inverse(
% 0.75/1.36 X ) ) ) ), identity ) ] )
% 0.75/1.36 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.75/1.36 , 0, clause( 425, [ =( multiply( X, inverse( 'double_divide'( identity,
% 0.75/1.36 inverse( X ) ) ) ), 'double_divide'( identity, inverse( identity ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.75/1.36 X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 427, [ =( multiply( X, multiply( inverse( X ), identity ) ),
% 0.75/1.36 identity ) ] )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 426, [ =( multiply( X, inverse( 'double_divide'( identity,
% 0.75/1.36 inverse( X ) ) ) ), identity ) ] )
% 0.75/1.36 , 0, 3, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, identity )] ),
% 0.75/1.36 substitution( 1, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 97, [ =( multiply( X, multiply( inverse( X ), identity ) ),
% 0.75/1.36 identity ) ] )
% 0.75/1.36 , clause( 427, [ =( multiply( X, multiply( inverse( X ), identity ) ),
% 0.75/1.36 identity ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 430, [ =( 'double_divide'( Y, X ), inverse( multiply( X, Y ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 95, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 433, [ =( 'double_divide'( inverse( X ), multiply( Y, X ) ),
% 0.75/1.36 inverse( Y ) ) ] )
% 0.75/1.36 , clause( 70, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.36 , 0, clause( 430, [ =( 'double_divide'( Y, X ), inverse( multiply( X, Y ) )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.36 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 100, [ =( 'double_divide'( inverse( Y ), multiply( X, Y ) ),
% 0.75/1.36 inverse( X ) ) ] )
% 0.75/1.36 , clause( 433, [ =( 'double_divide'( inverse( X ), multiply( Y, X ) ),
% 0.75/1.36 inverse( Y ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 436, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.36 , clause( 70, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 440, [ =( X, multiply( identity, inverse( multiply( inverse( X ),
% 0.75/1.36 identity ) ) ) ) ] )
% 0.75/1.36 , clause( 97, [ =( multiply( X, multiply( inverse( X ), identity ) ),
% 0.75/1.36 identity ) ] )
% 0.75/1.36 , 0, clause( 436, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, multiply( inverse( X ), identity ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 441, [ =( X, inverse( inverse( inverse( multiply( inverse( X ),
% 0.75/1.36 identity ) ) ) ) ) ] )
% 0.75/1.36 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , 0, clause( 440, [ =( X, multiply( identity, inverse( multiply( inverse( X
% 0.75/1.36 ), identity ) ) ) ) ] )
% 0.75/1.36 , 0, 2, substitution( 0, [ :=( X, inverse( multiply( inverse( X ), identity
% 0.75/1.36 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 442, [ =( X, inverse( multiply( inverse( X ), identity ) ) ) ] )
% 0.75/1.36 , clause( 79, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 441, [ =( X, inverse( inverse( inverse( multiply( inverse( X )
% 0.75/1.36 , identity ) ) ) ) ) ] )
% 0.75/1.36 , 0, 2, substitution( 0, [ :=( X, multiply( inverse( X ), identity ) )] ),
% 0.75/1.36 substitution( 1, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 443, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 95, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 442, [ =( X, inverse( multiply( inverse( X ), identity ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 0.75/1.36 substitution( 1, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 444, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.75/1.36 , clause( 443, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 109, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.75/1.36 , clause( 444, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 446, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 109, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 447, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.75/1.36 , clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, clause( 446, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.75/1.36 X ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 448, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.75/1.36 , clause( 447, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 112, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.75/1.36 , clause( 448, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 450, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'( X,
% 0.75/1.36 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 15, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 454, [ =( multiply( X, identity ), 'double_divide'( inverse(
% 0.75/1.36 'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 112, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 450, [ =( multiply( Y, X ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( identity, inverse( X ) )
% 0.75/1.36 )] ), substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 457, [ =( multiply( X, identity ), inverse( inverse(
% 0.75/1.36 'double_divide'( identity, inverse( X ) ) ) ) ) ] )
% 0.75/1.36 , clause( 29, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.75/1.36 inverse( inverse( X ) ) ) ] )
% 0.75/1.36 , 0, clause( 454, [ =( multiply( X, identity ), 'double_divide'( inverse(
% 0.75/1.36 'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity, inverse( X ) )
% 0.75/1.36 )] ), substitution( 1, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 458, [ =( multiply( X, identity ), 'double_divide'( identity,
% 0.75/1.36 inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, clause( 457, [ =( multiply( X, identity ), inverse( inverse(
% 0.75/1.36 'double_divide'( identity, inverse( X ) ) ) ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity, inverse( X ) )
% 0.75/1.36 )] ), substitution( 1, [ :=( X, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 459, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.36 , clause( 109, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, clause( 458, [ =( multiply( X, identity ), 'double_divide'( identity,
% 0.75/1.36 inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 117, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.36 , clause( 459, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 462, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ) ) ] )
% 0.75/1.36 , clause( 10, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.75/1.36 'double_divide'( 'double_divide'( X, Y ), Z ), inverse( Y ) ) ), inverse(
% 0.75/1.36 identity ) ), Z ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 466, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.75/1.36 'double_divide'( 'double_divide'( inverse( Y ), X ), inverse( Y ) ) ),
% 0.75/1.36 inverse( identity ) ) ) ] )
% 0.75/1.36 , clause( 112, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 462, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.75/1.36 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), Z ), inverse(
% 0.75/1.36 Y ) ) ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.75/1.36 identity ), :=( Y, Y ), :=( Z, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 468, [ =( X, multiply( 'double_divide'( 'double_divide'( inverse( Y
% 0.75/1.36 ), X ), inverse( Y ) ), identity ) ) ] )
% 0.75/1.36 , clause( 96, [ =( 'double_divide'( 'double_divide'( identity, Y ), inverse(
% 0.75/1.36 X ) ), multiply( Y, X ) ) ] )
% 0.75/1.36 , 0, clause( 466, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.75/1.36 'double_divide'( 'double_divide'( inverse( Y ), X ), inverse( Y ) ) ),
% 0.75/1.36 inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, 'double_divide'(
% 0.75/1.36 'double_divide'( inverse( Y ), X ), inverse( Y ) ) )] ), substitution( 1
% 0.75/1.36 , [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 469, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ), X ),
% 0.75/1.36 inverse( Y ) ) ) ] )
% 0.75/1.36 , clause( 117, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.36 , 0, clause( 468, [ =( X, multiply( 'double_divide'( 'double_divide'(
% 0.75/1.36 inverse( Y ), X ), inverse( Y ) ), identity ) ) ] )
% 0.75/1.36 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'( inverse(
% 0.75/1.36 Y ), X ), inverse( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 470, [ =( 'double_divide'( 'double_divide'( inverse( Y ), X ),
% 0.75/1.36 inverse( Y ) ), X ) ] )
% 0.75/1.36 , clause( 469, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ), X )
% 0.75/1.36 , inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 118, [ =( 'double_divide'( 'double_divide'( inverse( X ), Y ),
% 0.75/1.36 inverse( X ) ), Y ) ] )
% 0.75/1.36 , clause( 470, [ =( 'double_divide'( 'double_divide'( inverse( Y ), X ),
% 0.75/1.36 inverse( Y ) ), X ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 472, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ), Y ),
% 0.75/1.36 inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 118, [ =( 'double_divide'( 'double_divide'( inverse( X ), Y ),
% 0.75/1.36 inverse( X ) ), Y ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 473, [ =( multiply( X, Y ), 'double_divide'( inverse( X ), inverse(
% 0.75/1.36 Y ) ) ) ] )
% 0.75/1.36 , clause( 100, [ =( 'double_divide'( inverse( Y ), multiply( X, Y ) ),
% 0.75/1.36 inverse( X ) ) ] )
% 0.75/1.36 , 0, clause( 472, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ), Y
% 0.75/1.36 ), inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.36 :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 474, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply(
% 0.75/1.36 X, Y ) ) ] )
% 0.75/1.36 , clause( 473, [ =( multiply( X, Y ), 'double_divide'( inverse( X ),
% 0.75/1.36 inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 125, [ =( 'double_divide'( inverse( Y ), inverse( X ) ), multiply(
% 0.75/1.36 Y, X ) ) ] )
% 0.75/1.36 , clause( 474, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply(
% 0.75/1.36 X, Y ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 476, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ), Y ),
% 0.75/1.36 inverse( X ) ) ) ] )
% 0.75/1.36 , clause( 118, [ =( 'double_divide'( 'double_divide'( inverse( X ), Y ),
% 0.75/1.36 inverse( X ) ), Y ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 478, [ =( X, 'double_divide'( 'double_divide'( inverse( inverse( Y
% 0.75/1.36 ) ), X ), Y ) ) ] )
% 0.75/1.36 , clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, clause( 476, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ), Y
% 0.75/1.36 ), inverse( X ) ) ) ] )
% 0.75/1.36 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.75/1.36 Y ) ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 479, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.75/1.36 , clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, clause( 478, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.75/1.36 inverse( Y ) ), X ), Y ) ) ] )
% 0.75/1.36 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 481, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.75/1.36 , clause( 479, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 127, [ =( 'double_divide'( 'double_divide'( X, Y ), X ), Y ) ] )
% 0.75/1.36 , clause( 481, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 483, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ] )
% 0.75/1.36 , clause( 127, [ =( 'double_divide'( 'double_divide'( X, Y ), X ), Y ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 486, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.75/1.36 , clause( 127, [ =( 'double_divide'( 'double_divide'( X, Y ), X ), Y ) ] )
% 0.75/1.36 , 0, clause( 483, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.36 :=( X, 'double_divide'( X, Y ) ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 487, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.75/1.36 , clause( 486, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 131, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.75/1.36 , clause( 487, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 489, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 490, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 131, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.75/1.36 , 0, clause( 489, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.36 :=( X, Y ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 147, [ =( multiply( 'double_divide'( Y, X ), X ), inverse( Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 490, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) )
% 0.75/1.36 ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 493, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.75/1.36 , clause( 66, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 494, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse( X
% 0.75/1.36 ), Y ) ) ] )
% 0.75/1.36 , clause( 147, [ =( multiply( 'double_divide'( Y, X ), X ), inverse( Y ) )
% 0.75/1.36 ] )
% 0.75/1.36 , 0, clause( 493, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.75/1.36 , 0, 6, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.75/1.36 substitution( 1, [ :=( X, 'double_divide'( X, inverse( Y ) ) ), :=( Y, Y
% 0.75/1.36 )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 495, [ =( multiply( inverse( X ), Y ), 'double_divide'( X, inverse(
% 0.75/1.36 Y ) ) ) ] )
% 0.75/1.36 , clause( 494, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse(
% 0.75/1.36 X ), Y ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 150, [ =( multiply( inverse( X ), Y ), 'double_divide'( X, inverse(
% 0.75/1.36 Y ) ) ) ] )
% 0.75/1.36 , clause( 495, [ =( multiply( inverse( X ), Y ), 'double_divide'( X,
% 0.75/1.36 inverse( Y ) ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 497, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse( X
% 0.75/1.36 ), Y ) ) ] )
% 0.75/1.36 , clause( 150, [ =( multiply( inverse( X ), Y ), 'double_divide'( X,
% 0.75/1.36 inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 501, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 0.75/1.36 , multiply( multiply( Y, X ), Z ) ) ] )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 497, [ =( 'double_divide'( X, inverse( Y ) ), multiply(
% 0.75/1.36 inverse( X ), Y ) ) ] )
% 0.75/1.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.36 :=( X, 'double_divide'( X, Y ) ), :=( Y, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 154, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 0.75/1.36 , multiply( multiply( Y, X ), Z ) ) ] )
% 0.75/1.36 , clause( 501, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z )
% 0.75/1.36 ), multiply( multiply( Y, X ), Z ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 505, [ =( multiply( X, Y ), 'double_divide'( inverse( X ), inverse(
% 0.75/1.36 Y ) ) ) ] )
% 0.75/1.36 , clause( 125, [ =( 'double_divide'( inverse( Y ), inverse( X ) ), multiply(
% 0.75/1.36 Y, X ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 507, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse( X
% 0.75/1.36 ), Y ) ) ] )
% 0.75/1.36 , clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, clause( 505, [ =( multiply( X, Y ), 'double_divide'( inverse( X ),
% 0.75/1.36 inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.36 :=( Y, inverse( Y ) )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 156, [ =( multiply( Y, inverse( X ) ), 'double_divide'( inverse( Y
% 0.75/1.36 ), X ) ) ] )
% 0.75/1.36 , clause( 507, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse(
% 0.75/1.36 X ), Y ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.36 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 511, [ =( 'double_divide'( 'double_divide'( X, Z ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.75/1.36 X ), Y ), Z ), inverse( Y ) ) ) ] )
% 0.75/1.36 , clause( 11, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.75/1.36 inverse( X ), Y ), Z ), inverse( Y ) ), 'double_divide'( 'double_divide'(
% 0.75/1.36 X, Z ), inverse( identity ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 518, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( multiply( X, Z ), Y ),
% 0.75/1.36 inverse( inverse( Z ) ) ) ) ] )
% 0.75/1.36 , clause( 125, [ =( 'double_divide'( inverse( Y ), inverse( X ) ), multiply(
% 0.75/1.36 Y, X ) ) ] )
% 0.75/1.36 , 0, clause( 511, [ =( 'double_divide'( 'double_divide'( X, Z ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.75/1.36 X ), Y ), Z ), inverse( Y ) ) ) ] )
% 0.75/1.36 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.36 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 520, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), multiply( multiply( Y, multiply( X, Z ) ), inverse( Z ) ) )
% 0.75/1.36 ] )
% 0.75/1.36 , clause( 154, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z )
% 0.75/1.36 ), multiply( multiply( Y, X ), Z ) ) ] )
% 0.75/1.36 , 0, clause( 518, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( multiply( X, Z ), Y ),
% 0.75/1.36 inverse( inverse( Z ) ) ) ) ] )
% 0.75/1.36 , 0, 7, substitution( 0, [ :=( X, multiply( X, Z ) ), :=( Y, Y ), :=( Z,
% 0.75/1.36 inverse( Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.75/1.36 ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 522, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( inverse( multiply( Y, multiply( X, Z ) ) )
% 0.75/1.36 , Z ) ) ] )
% 0.75/1.36 , clause( 156, [ =( multiply( Y, inverse( X ) ), 'double_divide'( inverse(
% 0.75/1.36 Y ), X ) ) ] )
% 0.75/1.36 , 0, clause( 520, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), multiply( multiply( Y, multiply( X, Z ) ), inverse( Z ) ) )
% 0.75/1.36 ] )
% 0.75/1.36 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, multiply( Y, multiply( X, Z )
% 0.75/1.36 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 523, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( multiply( X, Z ), Y ), Z
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , clause( 95, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 522, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( inverse( multiply( Y, multiply( X, Z ) ) )
% 0.75/1.36 , Z ) ) ] )
% 0.75/1.36 , 0, 8, substitution( 0, [ :=( X, multiply( X, Z ) ), :=( Y, Y )] ),
% 0.75/1.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 524, [ =( multiply( multiply( Y, X ), identity ), 'double_divide'(
% 0.75/1.36 'double_divide'( multiply( X, Z ), Y ), Z ) ) ] )
% 0.75/1.36 , clause( 154, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z )
% 0.75/1.36 ), multiply( multiply( Y, X ), Z ) ) ] )
% 0.75/1.36 , 0, clause( 523, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.75/1.36 identity ) ), 'double_divide'( 'double_divide'( multiply( X, Z ), Y ), Z
% 0.75/1.36 ) ) ] )
% 0.75/1.36 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 0.75/1.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 525, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'(
% 0.75/1.36 multiply( Y, Z ), X ), Z ) ) ] )
% 0.75/1.36 , clause( 117, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.36 , 0, clause( 524, [ =( multiply( multiply( Y, X ), identity ),
% 0.75/1.36 'double_divide'( 'double_divide'( multiply( X, Z ), Y ), Z ) ) ] )
% 0.75/1.36 , 0, 1, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.75/1.36 :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 526, [ =( 'double_divide'( 'double_divide'( multiply( Y, Z ), X ),
% 0.75/1.36 Z ), multiply( X, Y ) ) ] )
% 0.75/1.36 , clause( 525, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'(
% 0.75/1.36 multiply( Y, Z ), X ), Z ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 157, [ =( 'double_divide'( 'double_divide'( multiply( X, Y ), Z ),
% 0.75/1.36 Y ), multiply( Z, X ) ) ] )
% 0.75/1.36 , clause( 526, [ =( 'double_divide'( 'double_divide'( multiply( Y, Z ), X )
% 0.75/1.36 , Z ), multiply( X, Y ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.75/1.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 536, [ ~( =( identity, identity ) ), ~( =( multiply( a3, multiply(
% 0.75/1.36 b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( inverse(
% 0.75/1.36 inverse( a2 ) ), a2 ) ) ] )
% 0.75/1.36 , clause( 63, [ =( inverse( identity ), identity ) ] )
% 0.75/1.36 , 0, clause( 22, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.75/1.36 multiply( a3, b3 ), c3 ) ) ), ~( =( inverse( identity ), identity ) ),
% 0.75/1.36 ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.75/1.36 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqrefl(
% 0.75/1.36 clause( 537, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.75/1.36 a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.75/1.36 , clause( 536, [ ~( =( identity, identity ) ), ~( =( multiply( a3, multiply(
% 0.75/1.36 b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( inverse(
% 0.75/1.36 inverse( a2 ) ), a2 ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 538, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 0.75/1.36 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , clause( 87, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.36 , 0, clause( 537, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.75/1.36 multiply( a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.75/1.36 , 1, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqrefl(
% 0.75/1.36 clause( 539, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.75/1.36 a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , clause( 538, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) )
% 0.75/1.36 , multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 159, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.75/1.36 a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , clause( 539, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.75/1.36 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 542, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , clause( 147, [ =( multiply( 'double_divide'( Y, X ), X ), inverse( Y ) )
% 0.75/1.36 ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 546, [ =( inverse( 'double_divide'( multiply( X, Y ), Z ) ),
% 0.75/1.36 multiply( multiply( Z, X ), Y ) ) ] )
% 0.75/1.36 , clause( 157, [ =( 'double_divide'( 'double_divide'( multiply( X, Y ), Z )
% 0.75/1.36 , Y ), multiply( Z, X ) ) ] )
% 0.75/1.36 , 0, clause( 542, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y )
% 0.75/1.36 ) ] )
% 0.75/1.36 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.36 substitution( 1, [ :=( X, 'double_divide'( multiply( X, Y ), Z ) ), :=( Y
% 0.75/1.36 , Y )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 paramod(
% 0.75/1.36 clause( 547, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z, X
% 0.75/1.36 ), Y ) ) ] )
% 0.75/1.36 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.75/1.36 )
% 0.75/1.36 , 0, clause( 546, [ =( inverse( 'double_divide'( multiply( X, Y ), Z ) ),
% 0.75/1.36 multiply( multiply( Z, X ), Y ) ) ] )
% 0.75/1.36 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] ),
% 0.75/1.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 162, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z, X
% 0.75/1.36 ), Y ) ) ] )
% 0.75/1.36 , clause( 547, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z
% 0.75/1.36 , X ), Y ) ) ] )
% 0.75/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 549, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.75/1.36 , Z ) ) ) ] )
% 0.75/1.36 , clause( 162, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z
% 0.75/1.36 , X ), Y ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 eqswap(
% 0.75/1.36 clause( 550, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.75/1.36 multiply( b3, c3 ) ) ) ) ] )
% 0.75/1.36 , clause( 159, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.75/1.36 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 resolution(
% 0.75/1.36 clause( 551, [] )
% 0.75/1.36 , clause( 550, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.75/1.36 multiply( b3, c3 ) ) ) ) ] )
% 0.75/1.36 , 0, clause( 549, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.75/1.36 multiply( Y, Z ) ) ) ] )
% 0.75/1.36 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ),
% 0.75/1.36 :=( Z, c3 )] )).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 subsumption(
% 0.75/1.36 clause( 167, [] )
% 0.75/1.36 , clause( 551, [] )
% 0.75/1.36 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 end.
% 0.75/1.36
% 0.75/1.36 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.36
% 0.75/1.36 Memory use:
% 0.75/1.36
% 0.75/1.36 space for terms: 2067
% 0.75/1.36 space for clauses: 19964
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 clauses generated: 940
% 0.75/1.36 clauses kept: 168
% 0.75/1.36 clauses selected: 46
% 0.75/1.36 clauses deleted: 52
% 0.75/1.36 clauses inuse deleted: 0
% 0.75/1.36
% 0.75/1.36 subsentry: 1358
% 0.75/1.36 literals s-matched: 351
% 0.75/1.36 literals matched: 342
% 0.75/1.36 full subsumption: 0
% 0.75/1.36
% 0.75/1.36 checksum: -277954693
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 Bliksem ended
%------------------------------------------------------------------------------