TSTP Solution File: GRP498-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP498-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:37:19 EDT 2022
% Result : Unsatisfiable 0.69s 1.09s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP498-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.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 : Mon Jun 13 15:04:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09 [
% 0.69/1.09 [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'( X,
% 0.69/1.09 'double_divide'( Y, identity ) ) ), 'double_divide'( 'double_divide'( Y,
% 0.69/1.09 'double_divide'( Z, X ) ), identity ) ), Z ) ],
% 0.69/1.09 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.69/1.09 identity ) ) ],
% 0.69/1.09 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.69/1.09 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.69/1.09 [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.69/1.09 c3 ) ) ) ) ]
% 0.69/1.09 ] .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.09 This is a pure equality problem
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 1
% 0.69/1.09 useeqrefl = 1
% 0.69/1.09 useeqfact = 1
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 5
% 0.69/1.09 usesimpres = 3
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = eqrewr
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.09
% 0.69/1.09 termordering = kbo
% 0.69/1.09
% 0.69/1.09 litapriori = 0
% 0.69/1.09 termapriori = 1
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = negord
% 0.69/1.09
% 0.69/1.09 maxweight = 15
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 1
% 0.69/1.09 increasemaxweight = 1
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 1
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.09 'double_divide' [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.69/1.09 multiply [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.09 inverse [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.69/1.09 a3 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.09 b3 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.69/1.09 c3 [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksems!, er is een bewijs:
% 0.69/1.09 % SZS status Unsatisfiable
% 0.69/1.09 % SZS output start Refutation
% 0.69/1.09
% 0.69/1.09 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.69/1.09 X, 'double_divide'( Y, identity ) ) ), 'double_divide'( 'double_divide'(
% 0.69/1.09 Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.09 multiply( X, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.69/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.69/1.09 ), identity ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 10, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ), Z ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 11, [ =( inverse( identity ), identity ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 12, [ =( multiply( multiply( 'double_divide'( Z, X ), Y ),
% 0.69/1.09 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ),
% 0.69/1.09 inverse( Z ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 13, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y, X
% 0.69/1.09 ), X ) ), Y ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 22, [ =( 'double_divide'( identity, inverse( inverse( inverse( X )
% 0.69/1.09 ) ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 23, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.69/1.09 identity ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 35, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity ),
% 0.69/1.09 inverse( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 44, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 48, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 52, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 53, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 58, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X ),
% 0.69/1.09 identity ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 62, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 70, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y )
% 0.69/1.09 , X ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 73, [ =( multiply( inverse( inverse( inverse( X ) ) ), Y ),
% 0.69/1.09 multiply( inverse( X ), Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 74, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 76, [ =( multiply( X, multiply( inverse( X ), Y ) ), Y ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 77, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 82, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 84, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 88, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 89, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 92, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 103, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 112, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse( X
% 0.69/1.09 ), Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 117, [ =( 'double_divide'( multiply( Z, Y ), 'double_divide'(
% 0.69/1.09 multiply( Y, X ), Z ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 139, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.69/1.09 ), Z ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 143, [] )
% 0.69/1.09 .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 % SZS output end Refutation
% 0.69/1.09 found a proof!
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 initialclauses(
% 0.69/1.09 [ clause( 145, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, 'double_divide'( Y, identity ) ) ), 'double_divide'(
% 0.69/1.09 'double_divide'( Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.69/1.09 , clause( 146, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.69/1.09 X ), identity ) ) ] )
% 0.69/1.09 , clause( 147, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.69/1.09 , clause( 148, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 149, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.69/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.09 ] ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.69/1.09 X, 'double_divide'( Y, identity ) ) ), 'double_divide'( 'double_divide'(
% 0.69/1.09 Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.69/1.09 , clause( 145, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, 'double_divide'( Y, identity ) ) ), 'double_divide'(
% 0.69/1.09 'double_divide'( Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 152, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.09 multiply( X, Y ) ) ] )
% 0.69/1.09 , clause( 146, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.69/1.09 X ), identity ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.09 multiply( X, Y ) ) ] )
% 0.69/1.09 , clause( 152, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.09 multiply( X, Y ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 155, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , clause( 147, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , clause( 155, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 159, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.09 , clause( 148, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.09 , clause( 159, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 164, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.69/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , clause( 149, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.69/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.69/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , clause( 164, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.69/1.09 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 167, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.09 multiply( X, Y ) ) ] )
% 0.69/1.09 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.69/1.09 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.69/1.09 , clause( 167, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 170, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 173, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.69/1.09 multiply( Y, X ) ) ) ] )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 170, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, 'double_divide'( X, Y ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 174, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.69/1.09 ) ), identity ) ] )
% 0.69/1.09 , clause( 173, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.69/1.09 multiply( Y, X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.69/1.09 ), identity ) ] )
% 0.69/1.09 , clause( 174, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y,
% 0.69/1.09 X ) ), identity ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 176, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 179, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.09 , 0, clause( 176, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, inverse( X ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.09 , clause( 179, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 182, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 185, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 182, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, identity )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 185, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 192, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, 'double_divide'( Y, identity ) ) ), inverse(
% 0.69/1.09 'double_divide'( Y, 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.69/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, 'double_divide'( Y, identity ) ) ), 'double_divide'(
% 0.69/1.09 'double_divide'( Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.69/1.09 , 0, 9, substitution( 0, [ :=( X, 'double_divide'( Y, 'double_divide'( Z, X
% 0.69/1.09 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 194, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), inverse( 'double_divide'( Y,
% 0.69/1.09 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.69/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 192, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, 'double_divide'( Y, identity ) ) ), inverse(
% 0.69/1.09 'double_divide'( Y, 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 195, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ), Z ) ] )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 194, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), inverse( 'double_divide'( Y,
% 0.69/1.09 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.69/1.09 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( Z, X ) ), :=( Y, Y )] )
% 0.69/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 10, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ), Z ) ] )
% 0.69/1.09 , clause( 195, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ), Z ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 197, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ) ) ] )
% 0.69/1.09 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 199, [ =( inverse( identity ), identity ) ] )
% 0.69/1.09 , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.69/1.09 ) ), identity ) ] )
% 0.69/1.09 , 0, clause( 197, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, 'double_divide'(
% 0.69/1.09 inverse( identity ), inverse( identity ) ) )] ), substitution( 1, [ :=( X
% 0.69/1.09 , inverse( identity ) ), :=( Y, identity ), :=( Z, inverse( identity ) )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 11, [ =( inverse( identity ), identity ) ] )
% 0.69/1.09 , clause( 199, [ =( inverse( identity ), identity ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 204, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 207, [ =( multiply( multiply( 'double_divide'( X, Y ), Z ),
% 0.69/1.09 'double_divide'( identity, 'double_divide'( Y, inverse( Z ) ) ) ),
% 0.69/1.09 inverse( X ) ) ] )
% 0.69/1.09 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ), Z ) ] )
% 0.69/1.09 , 0, clause( 204, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.69/1.09 substitution( 1, [ :=( X, 'double_divide'( identity, 'double_divide'( Y,
% 0.69/1.09 inverse( Z ) ) ) ), :=( Y, multiply( 'double_divide'( X, Y ), Z ) )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 12, [ =( multiply( multiply( 'double_divide'( Z, X ), Y ),
% 0.69/1.09 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ),
% 0.69/1.09 inverse( Z ) ) ] )
% 0.69/1.09 , clause( 207, [ =( multiply( multiply( 'double_divide'( X, Y ), Z ),
% 0.69/1.09 'double_divide'( identity, 'double_divide'( Y, inverse( Z ) ) ) ),
% 0.69/1.09 inverse( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 210, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ) ) ] )
% 0.69/1.09 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 213, [ =( X, 'double_divide'( 'double_divide'( identity, identity )
% 0.69/1.09 , multiply( 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.69/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.09 , 0, clause( 210, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ) ) ] )
% 0.69/1.09 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.69/1.09 :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 215, [ =( X, 'double_divide'( inverse( identity ), multiply(
% 0.69/1.09 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.69/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 213, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 identity ), multiply( 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.69/1.09 X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 216, [ =( X, 'double_divide'( identity, multiply( 'double_divide'(
% 0.69/1.09 X, Y ), Y ) ) ) ] )
% 0.69/1.09 , clause( 11, [ =( inverse( identity ), identity ) ] )
% 0.69/1.09 , 0, clause( 215, [ =( X, 'double_divide'( inverse( identity ), multiply(
% 0.69/1.09 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 217, [ =( 'double_divide'( identity, multiply( 'double_divide'( X,
% 0.69/1.09 Y ), Y ) ), X ) ] )
% 0.69/1.09 , clause( 216, [ =( X, 'double_divide'( identity, multiply( 'double_divide'(
% 0.69/1.09 X, Y ), Y ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 13, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y, X
% 0.69/1.09 ), X ) ), Y ) ] )
% 0.69/1.09 , clause( 217, [ =( 'double_divide'( identity, multiply( 'double_divide'( X
% 0.69/1.09 , Y ), Y ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 219, [ =( X, 'double_divide'( identity, multiply( 'double_divide'(
% 0.69/1.09 X, Y ), Y ) ) ) ] )
% 0.69/1.09 , clause( 13, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y
% 0.69/1.09 , X ), X ) ), Y ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 221, [ =( X, 'double_divide'( identity, multiply( identity, inverse(
% 0.69/1.09 X ) ) ) ) ] )
% 0.69/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.09 , 0, clause( 219, [ =( X, 'double_divide'( identity, multiply(
% 0.69/1.09 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.69/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, inverse( X ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 222, [ =( X, 'double_divide'( identity, inverse( inverse( inverse(
% 0.69/1.09 X ) ) ) ) ) ] )
% 0.69/1.09 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , 0, clause( 221, [ =( X, 'double_divide'( identity, multiply( identity,
% 0.69/1.09 inverse( X ) ) ) ) ] )
% 0.69/1.09 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.69/1.09 :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 223, [ =( 'double_divide'( identity, inverse( inverse( inverse( X )
% 0.69/1.09 ) ) ), X ) ] )
% 0.69/1.09 , clause( 222, [ =( X, 'double_divide'( identity, inverse( inverse( inverse(
% 0.69/1.09 X ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 22, [ =( 'double_divide'( identity, inverse( inverse( inverse( X )
% 0.69/1.09 ) ) ), X ) ] )
% 0.69/1.09 , clause( 223, [ =( 'double_divide'( identity, inverse( inverse( inverse( X
% 0.69/1.09 ) ) ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 225, [ =( X, 'double_divide'( identity, multiply( 'double_divide'(
% 0.69/1.09 X, Y ), Y ) ) ) ] )
% 0.69/1.09 , clause( 13, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y
% 0.69/1.09 , X ), X ) ), Y ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 226, [ =( X, 'double_divide'( identity, multiply( inverse( X ),
% 0.69/1.09 identity ) ) ) ] )
% 0.69/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 225, [ =( X, 'double_divide'( identity, multiply(
% 0.69/1.09 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.69/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, identity )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 227, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.69/1.09 identity ) ), X ) ] )
% 0.69/1.09 , clause( 226, [ =( X, 'double_divide'( identity, multiply( inverse( X ),
% 0.69/1.09 identity ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 23, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.69/1.09 identity ) ), X ) ] )
% 0.69/1.09 , clause( 227, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.69/1.09 identity ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 229, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 232, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity )
% 0.69/1.09 , inverse( X ) ) ] )
% 0.69/1.09 , clause( 22, [ =( 'double_divide'( identity, inverse( inverse( inverse( X
% 0.69/1.09 ) ) ) ), X ) ] )
% 0.69/1.09 , 0, clause( 229, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.69/1.09 identity ), :=( Y, inverse( inverse( inverse( X ) ) ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 35, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity ),
% 0.69/1.09 inverse( X ) ) ] )
% 0.69/1.09 , clause( 232, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity
% 0.69/1.09 ), inverse( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 235, [ =( X, 'double_divide'( identity, multiply( inverse( X ),
% 0.69/1.09 identity ) ) ) ] )
% 0.69/1.09 , clause( 23, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.69/1.09 identity ) ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 236, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 35, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity )
% 0.69/1.09 , inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 235, [ =( X, 'double_divide'( identity, multiply( inverse( X )
% 0.69/1.09 , identity ) ) ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.09 inverse( X ) ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 237, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 236, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 44, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 237, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 238, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 44, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 240, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 , clause( 22, [ =( 'double_divide'( identity, inverse( inverse( inverse( X
% 0.69/1.09 ) ) ) ), X ) ] )
% 0.69/1.09 , 0, clause( 238, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.09 inverse( X ) ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 48, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 , clause( 240, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 243, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 44, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 245, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) )
% 0.69/1.09 , 'double_divide'( identity, X ) ) ] )
% 0.69/1.09 , clause( 48, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 , 0, clause( 243, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.69/1.09 inverse( X ) ) ) ] )
% 0.69/1.09 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.09 inverse( inverse( X ) ) ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 246, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.69/1.09 , clause( 48, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 , 0, clause( 245, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) )
% 0.69/1.09 ) ), 'double_divide'( identity, X ) ) ] )
% 0.69/1.09 , 0, 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.69/1.09 :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 248, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.09 , clause( 246, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 52, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.09 , clause( 248, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 251, [ =( inverse( X ), multiply( inverse( inverse( inverse( X ) )
% 0.69/1.09 ), identity ) ) ] )
% 0.69/1.09 , clause( 35, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity )
% 0.69/1.09 , inverse( X ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 254, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.69/1.09 , clause( 48, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 , 0, clause( 251, [ =( inverse( X ), multiply( inverse( inverse( inverse( X
% 0.69/1.09 ) ) ), identity ) ) ] )
% 0.69/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.09 X ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 259, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 254, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 53, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 259, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 261, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 262, [ =( identity, 'double_divide'( inverse( inverse( inverse( X )
% 0.69/1.09 ) ), X ) ) ] )
% 0.69/1.09 , clause( 48, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 , 0, clause( 261, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.09 inverse( inverse( X ) ) ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 263, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X )
% 0.69/1.09 , identity ) ] )
% 0.69/1.09 , clause( 262, [ =( identity, 'double_divide'( inverse( inverse( inverse( X
% 0.69/1.09 ) ) ), X ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 58, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X ),
% 0.69/1.09 identity ) ] )
% 0.69/1.09 , clause( 263, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X
% 0.69/1.09 ), identity ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 264, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.69/1.09 , clause( 52, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 266, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 13, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y
% 0.69/1.09 , X ), X ) ), Y ) ] )
% 0.69/1.09 , 0, clause( 264, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, multiply( 'double_divide'( X, Y ), Y ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 62, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 266, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X )
% 0.69/1.09 ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 269, [ =( inverse( X ), multiply( multiply( 'double_divide'( X, Y )
% 0.69/1.09 , Z ), 'double_divide'( identity, 'double_divide'( Y, inverse( Z ) ) ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 12, [ =( multiply( multiply( 'double_divide'( Z, X ), Y ),
% 0.69/1.09 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ),
% 0.69/1.09 inverse( Z ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 274, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.69/1.09 multiply( identity, Y ), 'double_divide'( identity, 'double_divide'( X,
% 0.69/1.09 inverse( Y ) ) ) ) ) ] )
% 0.69/1.09 , clause( 58, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X )
% 0.69/1.09 , identity ) ] )
% 0.69/1.09 , 0, clause( 269, [ =( inverse( X ), multiply( multiply( 'double_divide'( X
% 0.69/1.09 , Y ), Z ), 'double_divide'( identity, 'double_divide'( Y, inverse( Z ) )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.09 inverse( inverse( X ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 276, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.69/1.09 inverse( inverse( Y ) ), 'double_divide'( identity, 'double_divide'( X,
% 0.69/1.09 inverse( Y ) ) ) ) ) ] )
% 0.69/1.09 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , 0, clause( 274, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.69/1.09 multiply( multiply( identity, Y ), 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 277, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.69/1.09 inverse( inverse( Y ) ), inverse( 'double_divide'( X, inverse( Y ) ) ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 52, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 276, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.69/1.09 multiply( inverse( inverse( Y ) ), 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.69/1.09 , 0, 10, substitution( 0, [ :=( X, 'double_divide'( X, inverse( Y ) ) )] )
% 0.69/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 278, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.69/1.09 inverse( inverse( Y ) ), multiply( inverse( Y ), X ) ) ) ] )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 277, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.69/1.09 multiply( inverse( inverse( Y ) ), inverse( 'double_divide'( X, inverse(
% 0.69/1.09 Y ) ) ) ) ) ] )
% 0.69/1.09 , 0, 10, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 279, [ =( X, multiply( inverse( inverse( Y ) ), multiply( inverse(
% 0.69/1.09 Y ), X ) ) ) ] )
% 0.69/1.09 , clause( 48, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 , 0, clause( 278, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.69/1.09 multiply( inverse( inverse( Y ) ), multiply( inverse( Y ), X ) ) ) ] )
% 0.69/1.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 280, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y )
% 0.69/1.09 , X ) ), X ) ] )
% 0.69/1.09 , clause( 279, [ =( X, multiply( inverse( inverse( Y ) ), multiply( inverse(
% 0.69/1.09 Y ), X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 70, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y )
% 0.69/1.09 , X ) ), X ) ] )
% 0.69/1.09 , clause( 280, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y
% 0.69/1.09 ), X ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 281, [ =( Y, multiply( inverse( inverse( X ) ), multiply( inverse(
% 0.69/1.09 X ), Y ) ) ) ] )
% 0.69/1.09 , clause( 70, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y
% 0.69/1.09 ), X ) ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 284, [ =( multiply( inverse( X ), Y ), multiply( inverse( inverse(
% 0.69/1.09 inverse( X ) ) ), Y ) ) ] )
% 0.69/1.09 , clause( 70, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y
% 0.69/1.09 ), X ) ), X ) ] )
% 0.69/1.09 , 0, clause( 281, [ =( Y, multiply( inverse( inverse( X ) ), multiply(
% 0.69/1.09 inverse( X ), Y ) ) ) ] )
% 0.69/1.09 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, inverse( X ) ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 285, [ =( multiply( inverse( inverse( inverse( X ) ) ), Y ),
% 0.69/1.09 multiply( inverse( X ), Y ) ) ] )
% 0.69/1.09 , clause( 284, [ =( multiply( inverse( X ), Y ), multiply( inverse( inverse(
% 0.69/1.09 inverse( X ) ) ), Y ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 73, [ =( multiply( inverse( inverse( inverse( X ) ) ), Y ),
% 0.69/1.09 multiply( inverse( X ), Y ) ) ] )
% 0.69/1.09 , clause( 285, [ =( multiply( inverse( inverse( inverse( X ) ) ), Y ),
% 0.69/1.09 multiply( inverse( X ), Y ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 287, [ =( Y, multiply( inverse( inverse( X ) ), multiply( inverse(
% 0.69/1.09 X ), Y ) ) ) ] )
% 0.69/1.09 , clause( 70, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y
% 0.69/1.09 ), X ) ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 289, [ =( X, multiply( inverse( inverse( multiply( 'double_divide'(
% 0.69/1.09 Y, Z ), Z ) ) ), multiply( Y, X ) ) ) ] )
% 0.69/1.09 , clause( 62, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 287, [ =( Y, multiply( inverse( inverse( X ) ), multiply(
% 0.69/1.09 inverse( X ), Y ) ) ) ] )
% 0.69/1.09 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.09 :=( X, multiply( 'double_divide'( Y, Z ), Z ) ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 290, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.69/1.09 , clause( 62, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 289, [ =( X, multiply( inverse( inverse( multiply(
% 0.69/1.09 'double_divide'( Y, Z ), Z ) ) ), multiply( Y, X ) ) ) ] )
% 0.69/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 292, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.69/1.09 , clause( 290, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 74, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.69/1.09 , clause( 292, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 295, [ =( Y, multiply( inverse( inverse( X ) ), multiply( inverse(
% 0.69/1.09 X ), Y ) ) ) ] )
% 0.69/1.09 , clause( 70, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y
% 0.69/1.09 ), X ) ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 297, [ =( X, multiply( Y, multiply( inverse( inverse( inverse( Y )
% 0.69/1.09 ) ), X ) ) ) ] )
% 0.69/1.09 , clause( 48, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.09 , 0, clause( 295, [ =( Y, multiply( inverse( inverse( X ) ), multiply(
% 0.69/1.09 inverse( X ), Y ) ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.09 inverse( Y ) ) ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 304, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.69/1.09 , clause( 73, [ =( multiply( inverse( inverse( inverse( X ) ) ), Y ),
% 0.69/1.09 multiply( inverse( X ), Y ) ) ] )
% 0.69/1.09 , 0, clause( 297, [ =( X, multiply( Y, multiply( inverse( inverse( inverse(
% 0.69/1.09 Y ) ) ), X ) ) ) ] )
% 0.69/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 305, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.69/1.09 , clause( 304, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 76, [ =( multiply( X, multiply( inverse( X ), Y ) ), Y ) ] )
% 0.69/1.09 , clause( 305, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 306, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 74, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 309, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 74, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.69/1.09 , 0, clause( 306, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.69/1.09 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.69/1.09 substitution( 1, [ :=( X, inverse( X ) ), :=( Y, multiply( X, Y ) )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 310, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 309, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 77, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 310, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 312, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 74, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 316, [ =( X, multiply( inverse( inverse( X ) ), inverse( identity )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.09 , 0, clause( 312, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.09 X ) ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 317, [ =( X, multiply( X, inverse( identity ) ) ) ] )
% 0.69/1.09 , clause( 77, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, clause( 316, [ =( X, multiply( inverse( inverse( X ) ), inverse(
% 0.69/1.09 identity ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( identity ) )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 318, [ =( X, multiply( X, identity ) ) ] )
% 0.69/1.09 , clause( 11, [ =( inverse( identity ), identity ) ] )
% 0.69/1.09 , 0, clause( 317, [ =( X, multiply( X, inverse( identity ) ) ) ] )
% 0.69/1.09 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 319, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 53, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , 0, clause( 318, [ =( X, multiply( X, identity ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 320, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , clause( 319, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 82, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , clause( 320, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 322, [ =( identity, 'double_divide'( inverse( inverse( inverse( X )
% 0.69/1.09 ) ), X ) ) ] )
% 0.69/1.09 , clause( 58, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X )
% 0.69/1.09 , identity ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 323, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 0.69/1.09 , clause( 82, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , 0, clause( 322, [ =( identity, 'double_divide'( inverse( inverse( inverse(
% 0.69/1.09 X ) ) ), X ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.69/1.09 :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 324, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.09 , clause( 323, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 84, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.09 , clause( 324, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 326, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 82, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 327, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 326, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.09 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, 'double_divide'( X, Y ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 328, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 327, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 88, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 328, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 330, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ) ) ] )
% 0.69/1.09 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 336, [ =( X, 'double_divide'( 'double_divide'( identity, identity )
% 0.69/1.09 , multiply( 'double_divide'( X, inverse( inverse( Y ) ) ), Y ) ) ) ] )
% 0.69/1.09 , clause( 84, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.09 , 0, clause( 330, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ) ) ] )
% 0.69/1.09 , 0, 5, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.69/1.09 :=( X, inverse( inverse( Y ) ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 338, [ =( X, 'double_divide'( inverse( identity ), multiply(
% 0.69/1.09 'double_divide'( X, inverse( inverse( Y ) ) ), Y ) ) ) ] )
% 0.69/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 336, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 identity ), multiply( 'double_divide'( X, inverse( inverse( Y ) ) ), Y )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.69/1.09 X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 339, [ =( X, 'double_divide'( identity, multiply( 'double_divide'(
% 0.69/1.09 X, inverse( inverse( Y ) ) ), Y ) ) ) ] )
% 0.69/1.09 , clause( 11, [ =( inverse( identity ), identity ) ] )
% 0.69/1.09 , 0, clause( 338, [ =( X, 'double_divide'( inverse( identity ), multiply(
% 0.69/1.09 'double_divide'( X, inverse( inverse( Y ) ) ), Y ) ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 340, [ =( X, inverse( multiply( 'double_divide'( X, inverse(
% 0.69/1.09 inverse( Y ) ) ), Y ) ) ) ] )
% 0.69/1.09 , clause( 52, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 339, [ =( X, 'double_divide'( identity, multiply(
% 0.69/1.09 'double_divide'( X, inverse( inverse( Y ) ) ), Y ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, multiply( 'double_divide'( X, inverse(
% 0.69/1.09 inverse( Y ) ) ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 341, [ =( X, 'double_divide'( Y, 'double_divide'( X, inverse(
% 0.69/1.09 inverse( Y ) ) ) ) ) ] )
% 0.69/1.09 , clause( 88, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 340, [ =( X, inverse( multiply( 'double_divide'( X, inverse(
% 0.69/1.09 inverse( Y ) ) ), Y ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, 'double_divide'( X, inverse(
% 0.69/1.09 inverse( Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 342, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 82, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , 0, clause( 341, [ =( X, 'double_divide'( Y, 'double_divide'( X, inverse(
% 0.69/1.09 inverse( Y ) ) ) ) ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 343, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.69/1.09 , clause( 342, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 89, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.69/1.09 , clause( 343, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 344, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ] )
% 0.69/1.09 , clause( 89, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 347, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.69/1.09 , clause( 89, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.69/1.09 , 0, clause( 344, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.09 :=( X, 'double_divide'( Y, X ) ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 348, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.69/1.09 , clause( 347, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 92, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.69/1.09 , clause( 348, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 350, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 351, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 92, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.69/1.09 , 0, clause( 350, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, 'double_divide'( X, Y ) ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 103, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 351, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 354, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.69/1.09 , clause( 76, [ =( multiply( X, multiply( inverse( X ), Y ) ), Y ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 355, [ =( 'double_divide'( inverse( X ), Y ), multiply( X, inverse(
% 0.69/1.09 Y ) ) ) ] )
% 0.69/1.09 , clause( 103, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, clause( 354, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, 'double_divide'( inverse( X ), Y )
% 0.69/1.09 )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 356, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse( X
% 0.69/1.09 ), Y ) ) ] )
% 0.69/1.09 , clause( 355, [ =( 'double_divide'( inverse( X ), Y ), multiply( X,
% 0.69/1.09 inverse( Y ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 112, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse( X
% 0.69/1.09 ), Y ) ) ] )
% 0.69/1.09 , clause( 356, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse(
% 0.69/1.09 X ), Y ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 358, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ) ) ] )
% 0.69/1.09 , clause( 10, [ =( 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 363, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( Y, inverse( inverse( Z ) ) ) ), 'double_divide'( inverse(
% 0.69/1.09 'double_divide'( X, Y ) ), Z ) ) ) ] )
% 0.69/1.09 , clause( 112, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse(
% 0.69/1.09 X ), Y ) ) ] )
% 0.69/1.09 , 0, clause( 358, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.69/1.09 Y ) ) ) ] )
% 0.69/1.09 , 0, 10, substitution( 0, [ :=( X, 'double_divide'( X, Y ) ), :=( Y, Z )] )
% 0.69/1.09 , substitution( 1, [ :=( X, Y ), :=( Y, inverse( Z ) ), :=( Z, X )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 364, [ =( X, 'double_divide'( inverse( 'double_divide'( Y, inverse(
% 0.69/1.09 inverse( Z ) ) ) ), 'double_divide'( inverse( 'double_divide'( X, Y ) ),
% 0.69/1.09 Z ) ) ) ] )
% 0.69/1.09 , clause( 52, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.69/1.09 , 0, clause( 363, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.69/1.09 'double_divide'( Y, inverse( inverse( Z ) ) ) ), 'double_divide'( inverse(
% 0.69/1.09 'double_divide'( X, Y ) ), Z ) ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, 'double_divide'( Y, inverse( inverse( Z )
% 0.69/1.09 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 365, [ =( X, 'double_divide'( multiply( inverse( inverse( Z ) ), Y
% 0.69/1.09 ), 'double_divide'( inverse( 'double_divide'( X, Y ) ), Z ) ) ) ] )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 364, [ =( X, 'double_divide'( inverse( 'double_divide'( Y,
% 0.69/1.09 inverse( inverse( Z ) ) ) ), 'double_divide'( inverse( 'double_divide'( X
% 0.69/1.09 , Y ) ), Z ) ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, inverse( inverse( Z ) ) ), :=( Y, Y )] )
% 0.69/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 369, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.69/1.09 inverse( 'double_divide'( X, Z ) ), Y ) ) ) ] )
% 0.69/1.09 , clause( 77, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, clause( 365, [ =( X, 'double_divide'( multiply( inverse( inverse( Z )
% 0.69/1.09 ), Y ), 'double_divide'( inverse( 'double_divide'( X, Y ) ), Z ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 370, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.69/1.09 multiply( Z, X ), Y ) ) ) ] )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 369, [ =( X, 'double_divide'( multiply( Y, Z ),
% 0.69/1.09 'double_divide'( inverse( 'double_divide'( X, Z ) ), Y ) ) ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 371, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.69/1.09 multiply( Z, X ), Y ) ), X ) ] )
% 0.69/1.09 , clause( 370, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.69/1.09 multiply( Z, X ), Y ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 117, [ =( 'double_divide'( multiply( Z, Y ), 'double_divide'(
% 0.69/1.09 multiply( Y, X ), Z ) ), X ) ] )
% 0.69/1.09 , clause( 371, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.69/1.09 multiply( Z, X ), Y ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 373, [ =( inverse( Y ), multiply( X, 'double_divide'( X, Y ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 103, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 377, [ =( inverse( 'double_divide'( multiply( X, Y ), Z ) ),
% 0.69/1.09 multiply( multiply( Z, X ), Y ) ) ] )
% 0.69/1.09 , clause( 117, [ =( 'double_divide'( multiply( Z, Y ), 'double_divide'(
% 0.69/1.09 multiply( Y, X ), Z ) ), X ) ] )
% 0.69/1.09 , 0, clause( 373, [ =( inverse( Y ), multiply( X, 'double_divide'( X, Y ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.69/1.09 substitution( 1, [ :=( X, multiply( Z, X ) ), :=( Y, 'double_divide'(
% 0.69/1.09 multiply( X, Y ), Z ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 378, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z, X
% 0.69/1.09 ), Y ) ) ] )
% 0.69/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , 0, clause( 377, [ =( inverse( 'double_divide'( multiply( X, Y ), Z ) ),
% 0.69/1.09 multiply( multiply( Z, X ), Y ) ) ] )
% 0.69/1.09 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 139, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.69/1.09 ), Z ) ) ] )
% 0.69/1.09 , clause( 378, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z
% 0.69/1.09 , X ), Y ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 380, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.69/1.09 , Z ) ) ) ] )
% 0.69/1.09 , clause( 139, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.69/1.09 , Y ), Z ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 381, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.69/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.09 , clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.69/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 382, [] )
% 0.69/1.09 , clause( 381, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.69/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.09 , 0, clause( 380, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.69/1.09 multiply( Y, Z ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ),
% 0.69/1.09 :=( Z, c3 )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 143, [] )
% 0.69/1.09 , clause( 382, [] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 end.
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 Memory use:
% 0.69/1.09
% 0.69/1.09 space for terms: 1668
% 0.69/1.09 space for clauses: 16432
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 clauses generated: 796
% 0.69/1.09 clauses kept: 144
% 0.69/1.09 clauses selected: 41
% 0.69/1.09 clauses deleted: 33
% 0.69/1.09 clauses inuse deleted: 0
% 0.69/1.09
% 0.69/1.09 subsentry: 620
% 0.69/1.09 literals s-matched: 218
% 0.69/1.09 literals matched: 206
% 0.69/1.09 full subsumption: 0
% 0.69/1.09
% 0.69/1.09 checksum: 436776235
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksem ended
%------------------------------------------------------------------------------