%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP002-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:34:13 EDT 2022
% Result : Unsatisfiable 0.72s 1.12s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP002-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 16:39:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ =( multiply( identity, X ), X ) ],
% 0.72/1.12 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.72/1.12 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.72/1.12 ],
% 0.72/1.12 [ =( multiply( X, identity ), X ) ],
% 0.72/1.12 [ =( multiply( X, inverse( X ) ), identity ) ],
% 0.72/1.12 [ =( commutator( X, Y ), multiply( X, multiply( Y, multiply( inverse( X
% 0.72/1.12 ), inverse( Y ) ) ) ) ) ],
% 0.72/1.12 [ =( multiply( X, multiply( X, X ) ), identity ) ],
% 0.72/1.12 [ ~( =( commutator( commutator( a, b ), b ), identity ) ) ]
% 0.72/1.12 ] .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.12 This is a pure equality problem
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = negord
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 1
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.12 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.12 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.12 commutator [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.12 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.12 b [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Starting Search:
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksems!, er is een bewijs:
% 0.72/1.12 % SZS status Unsatisfiable
% 0.72/1.12 % SZS output start Refutation
% 0.72/1.12
% 0.72/1.12 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.72/1.12 , Z ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.12 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 6, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 7, [ ~( =( commutator( commutator( a, b ), b ), identity ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 9, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y ),
% 0.72/1.12 identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 10, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 14, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y ) )
% 0.72/1.12 ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 15, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 18, [ =( multiply( multiply( multiply( inverse( X ), Y ), X ),
% 0.72/1.12 inverse( Y ) ), commutator( inverse( X ), Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 21, [ =( multiply( commutator( X, Y ), Y ), multiply( multiply( X,
% 0.72/1.12 Y ), inverse( X ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 27, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.72/1.12 multiply( X, Y ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 28, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X )
% 0.72/1.12 ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 29, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y ) )
% 0.72/1.12 ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 32, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X ) )
% 0.72/1.12 ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 33, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 0.72/1.12 Y ), X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 34, [ =( commutator( inverse( multiply( X, Y ) ), X ), commutator(
% 0.72/1.12 inverse( Y ), X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.72/1.12 X, Y ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 40, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 0.72/1.12 inverse( X ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 41, [ =( multiply( multiply( inverse( multiply( X, Y ) ), Y ), X )
% 0.72/1.12 , commutator( X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 44, [ =( commutator( Y, inverse( multiply( X, Y ) ) ), commutator(
% 0.72/1.12 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 45, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 0.72/1.12 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 46, [ =( inverse( multiply( multiply( Y, X ), Y ) ), multiply(
% 0.72/1.12 multiply( X, Y ), X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 47, [ =( multiply( multiply( X, Y ), inverse( multiply( Y, X ) ) )
% 0.72/1.12 , commutator( multiply( X, Y ), Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator( X
% 0.72/1.12 , Y ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 52, [ =( commutator( multiply( X, inverse( Y ) ), Y ), inverse(
% 0.72/1.12 commutator( Y, multiply( X, Y ) ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 53, [ =( commutator( inverse( multiply( Y, X ) ), inverse( Y ) ),
% 0.72/1.12 inverse( commutator( inverse( Y ), inverse( X ) ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 58, [ =( inverse( multiply( multiply( inverse( Y ), X ), Z ) ),
% 0.72/1.12 multiply( inverse( multiply( X, Z ) ), Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 81, [ =( commutator( Y, multiply( X, Y ) ), commutator( Y, X ) ) ]
% 0.72/1.12 )
% 0.72/1.12 .
% 0.72/1.12 clause( 82, [ =( multiply( commutator( X, Y ), inverse( Z ) ), inverse(
% 0.72/1.12 multiply( Z, commutator( Y, X ) ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 83, [ =( multiply( multiply( Z, commutator( Y, X ) ), commutator( X
% 0.72/1.12 , Y ) ), Z ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 85, [ =( multiply( commutator( Y, X ), commutator( X, Y ) ),
% 0.72/1.12 identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 86, [ =( commutator( Y, multiply( X, inverse( Y ) ) ), commutator(
% 0.72/1.12 Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 87, [ =( commutator( inverse( multiply( Y, X ) ), X ), commutator(
% 0.72/1.12 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 92, [ =( commutator( multiply( Y, X ), inverse( Y ) ), commutator(
% 0.72/1.12 Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 98, [ =( multiply( multiply( commutator( X, Y ), Y ), X ), multiply(
% 0.72/1.12 X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 104, [ =( commutator( multiply( commutator( X, Y ), Y ), inverse( X
% 0.72/1.12 ) ), commutator( X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 116, [ =( commutator( inverse( X ), multiply( X, Y ) ), commutator(
% 0.72/1.12 Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 119, [ =( commutator( multiply( inverse( X ), Y ), X ), commutator(
% 0.72/1.12 inverse( X ), Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 151, [ =( commutator( inverse( Y ), inverse( multiply( multiply( X
% 0.72/1.12 , Y ), X ) ) ), commutator( X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 171, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.12 multiply( X, Y ), X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 172, [ =( commutator( multiply( Y, X ), Y ), commutator( Y, inverse(
% 0.72/1.12 X ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 177, [ =( commutator( X, multiply( X, Y ) ), commutator( X, Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 .
% 0.72/1.12 clause( 193, [ =( commutator( inverse( Y ), inverse( X ) ), commutator( Y,
% 0.72/1.12 X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 195, [ =( commutator( X, inverse( Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 196, [ =( commutator( inverse( X ), Y ), commutator( Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 206, [ =( commutator( multiply( commutator( Y, X ), Y ), X ),
% 0.72/1.12 commutator( Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 234, [ =( commutator( Y, multiply( X, commutator( X, Y ) ) ),
% 0.72/1.12 commutator( Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 237, [ =( commutator( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.12 commutator( X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 281, [ =( multiply( multiply( X, commutator( Y, X ) ), Y ),
% 0.72/1.12 multiply( Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 286, [ =( multiply( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.12 multiply( Y, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 308, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.12 commutator( multiply( X, Y ), multiply( Y, X ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 324, [ =( commutator( multiply( X, Y ), multiply( Y, X ) ),
% 0.72/1.12 identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 338, [ =( commutator( commutator( X, Y ), Y ), identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 359, [] )
% 0.72/1.12 .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 % SZS output end Refutation
% 0.72/1.12 found a proof!
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 initialclauses(
% 0.72/1.12 [ clause( 361, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.12 , clause( 362, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.12 , clause( 363, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.72/1.12 Y, Z ) ) ) ] )
% 0.72/1.12 , clause( 364, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.12 , clause( 365, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , clause( 366, [ =( commutator( X, Y ), multiply( X, multiply( Y, multiply(
% 0.72/1.12 inverse( X ), inverse( Y ) ) ) ) ) ] )
% 0.72/1.12 , clause( 367, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.72/1.12 , clause( 368, [ ~( =( commutator( commutator( a, b ), b ), identity ) ) ]
% 0.72/1.12 )
% 0.72/1.12 ] ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.12 , clause( 361, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.12 , clause( 362, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 374, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , clause( 363, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.72/1.12 Y, Z ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.72/1.12 , Z ) ) ] )
% 0.72/1.12 , clause( 374, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.72/1.12 , Y ), Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.12 , clause( 364, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , clause( 365, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 405, [ =( commutator( X, Y ), multiply( X, multiply( multiply( Y,
% 0.72/1.12 inverse( X ) ), inverse( Y ) ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, clause( 366, [ =( commutator( X, Y ), multiply( X, multiply( Y,
% 0.72/1.12 multiply( inverse( X ), inverse( Y ) ) ) ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) ), :=( Z,
% 0.72/1.12 inverse( Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 408, [ =( commutator( X, Y ), multiply( multiply( X, multiply( Y,
% 0.72/1.12 inverse( X ) ) ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, clause( 405, [ =( commutator( X, Y ), multiply( X, multiply( multiply(
% 0.72/1.12 Y, inverse( X ) ), inverse( Y ) ) ) ) ] )
% 0.72/1.12 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, inverse( X ) ) )
% 0.72/1.12 , :=( Z, inverse( Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 409, [ =( commutator( X, Y ), multiply( multiply( multiply( X, Y )
% 0.72/1.12 , inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, clause( 408, [ =( commutator( X, Y ), multiply( multiply( X, multiply(
% 0.72/1.12 Y, inverse( X ) ) ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) )] )
% 0.72/1.12 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 410, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.12 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.12 , clause( 409, [ =( commutator( X, Y ), multiply( multiply( multiply( X, Y
% 0.72/1.12 ), inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.12 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.12 , clause( 410, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.12 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 444, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, clause( 367, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.72/1.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 6, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.72/1.12 , clause( 444, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 7, [ ~( =( commutator( commutator( a, b ), b ), identity ) ) ] )
% 0.72/1.12 , clause( 368, [ ~( =( commutator( commutator( a, b ), b ), identity ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 454, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.72/1.12 , Z ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 457, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.72/1.12 , identity ) ] )
% 0.72/1.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.12 , 0, clause( 454, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.72/1.12 multiply( Y, Z ) ) ) ] )
% 0.72/1.12 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.72/1.12 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 9, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y ),
% 0.72/1.12 identity ) ] )
% 0.72/1.12 , clause( 457, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.72/1.12 ), identity ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 463, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.72/1.12 , Z ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 468, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X,
% 0.72/1.12 identity ) ) ] )
% 0.72/1.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.12 , 0, clause( 463, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.72/1.12 multiply( Y, Z ) ) ) ] )
% 0.72/1.12 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.12 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 469, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.72/1.12 , clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.12 , 0, clause( 468, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.72/1.12 X, identity ) ) ] )
% 0.72/1.12 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.12 :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 10, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.72/1.12 , clause( 469, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 472, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.72/1.12 , Z ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 476, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X,
% 0.72/1.12 identity ) ) ] )
% 0.72/1.12 , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , 0, clause( 472, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.72/1.12 multiply( Y, Z ) ) ) ] )
% 0.72/1.12 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.12 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 477, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.12 , clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.12 , 0, clause( 476, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 0.72/1.12 X, identity ) ) ] )
% 0.72/1.12 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.12 :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.12 , clause( 477, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 479, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 482, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y ) ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.12 , 0, clause( 479, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.12 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 483, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 482, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y ) )
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 14, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 483, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 485, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 487, [ =( multiply( X, X ), multiply( identity, inverse( X ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 6, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.72/1.12 , 0, clause( 485, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.72/1.12 multiply( X, X ) ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 488, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.72/1.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.12 , 0, clause( 487, [ =( multiply( X, X ), multiply( identity, inverse( X ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.72/1.12 :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 15, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.72/1.12 , clause( 488, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 491, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 493, [ =( X, multiply( identity, inverse( inverse( X ) ) ) ) ] )
% 0.72/1.12 , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , 0, clause( 491, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.12 :=( Y, inverse( X ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 494, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.72/1.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.12 , 0, clause( 493, [ =( X, multiply( identity, inverse( inverse( X ) ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 495, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.12 , clause( 494, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.12 , clause( 495, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 497, [ =( commutator( X, Y ), multiply( multiply( multiply( X, Y )
% 0.72/1.12 , inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.12 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 498, [ =( commutator( inverse( X ), Y ), multiply( multiply(
% 0.72/1.12 multiply( inverse( X ), Y ), X ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.12 , 0, clause( 497, [ =( commutator( X, Y ), multiply( multiply( multiply( X
% 0.72/1.12 , Y ), inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.72/1.12 inverse( X ) ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 500, [ =( multiply( multiply( multiply( inverse( X ), Y ), X ),
% 0.72/1.12 inverse( Y ) ), commutator( inverse( X ), Y ) ) ] )
% 0.72/1.12 , clause( 498, [ =( commutator( inverse( X ), Y ), multiply( multiply(
% 0.72/1.12 multiply( inverse( X ), Y ), X ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 18, [ =( multiply( multiply( multiply( inverse( X ), Y ), X ),
% 0.72/1.12 inverse( Y ) ), commutator( inverse( X ), Y ) ) ] )
% 0.72/1.12 , clause( 500, [ =( multiply( multiply( multiply( inverse( X ), Y ), X ),
% 0.72/1.12 inverse( Y ) ), commutator( inverse( X ), Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 503, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 511, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.12 commutator( X, Y ), inverse( inverse( Y ) ) ) ) ] )
% 0.72/1.12 , clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.12 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.12 , 0, clause( 503, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, multiply( multiply( X, Y ), inverse( X ) ) ), :=( Y, inverse( Y )
% 0.72/1.12 )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 512, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.12 commutator( X, Y ), Y ) ) ] )
% 0.72/1.12 , clause( 14, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, clause( 511, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.12 commutator( X, Y ), inverse( inverse( Y ) ) ) ) ] )
% 0.72/1.12 , 0, 7, substitution( 0, [ :=( X, commutator( X, Y ) ), :=( Y, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 513, [ =( multiply( commutator( X, Y ), Y ), multiply( multiply( X
% 0.72/1.12 , Y ), inverse( X ) ) ) ] )
% 0.72/1.12 , clause( 512, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.12 commutator( X, Y ), Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 21, [ =( multiply( commutator( X, Y ), Y ), multiply( multiply( X,
% 0.72/1.12 Y ), inverse( X ) ) ) ] )
% 0.72/1.12 , clause( 513, [ =( multiply( commutator( X, Y ), Y ), multiply( multiply(
% 0.72/1.12 X, Y ), inverse( X ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 514, [ =( inverse( X ), multiply( X, X ) ) ] )
% 0.72/1.12 , clause( 15, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 516, [ =( inverse( multiply( X, Y ) ), multiply( multiply( multiply(
% 0.72/1.12 X, Y ), X ), Y ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, clause( 514, [ =( inverse( X ), multiply( X, X ) ) ] )
% 0.72/1.12 , 0, 5, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, X ), :=( Z, Y
% 0.72/1.12 )] ), substitution( 1, [ :=( X, multiply( X, Y ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 517, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.72/1.12 multiply( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 516, [ =( inverse( multiply( X, Y ) ), multiply( multiply(
% 0.72/1.12 multiply( X, Y ), X ), Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 27, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.72/1.12 multiply( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 517, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.72/1.12 multiply( X, Y ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 519, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.72/1.12 , Z ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 525, [ =( multiply( multiply( X, Y ), Y ), multiply( X, inverse( Y
% 0.72/1.12 ) ) ) ] )
% 0.72/1.12 , clause( 15, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 519, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.72/1.12 multiply( Y, Z ) ) ) ] )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.12 :=( Y, Y ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 28, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X )
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 525, [ =( multiply( multiply( X, Y ), Y ), multiply( X, inverse(
% 0.72/1.12 Y ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 531, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 536, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 0.72/1.12 identity, inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 9, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.72/1.12 , identity ) ] )
% 0.72/1.12 , 0, clause( 531, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 537, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.12 , 0, clause( 536, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 0.72/1.12 identity, inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 29, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 537, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 539, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 29, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 543, [ =( inverse( X ), multiply( inverse( inverse( Y ) ), inverse(
% 0.72/1.12 multiply( X, Y ) ) ) ) ] )
% 0.72/1.12 , clause( 29, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, clause( 539, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) )
% 0.72/1.12 , X ) ) ] )
% 0.72/1.12 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 544, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.12 , 0, clause( 543, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 0.72/1.12 inverse( multiply( X, Y ) ) ) ) ] )
% 0.72/1.12 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.12 :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 545, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 544, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 32, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 545, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 547, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.72/1.12 , clause( 10, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 550, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 0.72/1.12 Y ), X ) ) ] )
% 0.72/1.12 , clause( 29, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, clause( 547, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.72/1.12 , 0, 7, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, inverse( multiply( inverse( X ), Y ) ) ), :=( Y
% 0.72/1.12 , X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 33, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 0.72/1.12 Y ), X ) ) ] )
% 0.72/1.12 , clause( 550, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 0.72/1.12 inverse( Y ), X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 553, [ =( commutator( X, Y ), multiply( multiply( multiply( X, Y )
% 0.72/1.12 , inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.12 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 558, [ =( commutator( inverse( multiply( X, Y ) ), X ), multiply(
% 0.72/1.12 multiply( inverse( Y ), inverse( inverse( multiply( X, Y ) ) ) ), inverse(
% 0.72/1.12 X ) ) ) ] )
% 0.72/1.12 , clause( 29, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, clause( 553, [ =( commutator( X, Y ), multiply( multiply( multiply( X
% 0.72/1.12 , Y ), inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 559, [ =( commutator( inverse( multiply( X, Y ) ), X ), multiply(
% 0.72/1.12 multiply( inverse( Y ), multiply( X, Y ) ), inverse( X ) ) ) ] )
% 0.72/1.12 , clause( 14, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, clause( 558, [ =( commutator( inverse( multiply( X, Y ) ), X ),
% 0.72/1.12 multiply( multiply( inverse( Y ), inverse( inverse( multiply( X, Y ) ) )
% 0.72/1.12 ), inverse( X ) ) ) ] )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( X, Y ) )] )
% 0.72/1.12 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 560, [ =( commutator( inverse( multiply( X, Y ) ), X ), multiply(
% 0.72/1.12 multiply( multiply( inverse( Y ), X ), Y ), inverse( X ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.12 ), Z ) ) ] )
% 0.72/1.12 , 0, clause( 559, [ =( commutator( inverse( multiply( X, Y ) ), X ),
% 0.72/1.12 multiply( multiply( inverse( Y ), multiply( X, Y ) ), inverse( X ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X ), :=( Z, Y )] )
% 0.72/1.12 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 561, [ =( commutator( inverse( multiply( X, Y ) ), X ), commutator(
% 0.72/1.12 inverse( Y ), X ) ) ] )
% 0.72/1.12 , clause( 18, [ =( multiply( multiply( multiply( inverse( X ), Y ), X ),
% 0.72/1.12 inverse( Y ) ), commutator( inverse( X ), Y ) ) ] )
% 0.72/1.12 , 0, clause( 560, [ =( commutator( inverse( multiply( X, Y ) ), X ),
% 0.72/1.12 multiply( multiply( multiply( inverse( Y ), X ), Y ), inverse( X ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 34, [ =( commutator( inverse( multiply( X, Y ) ), X ), commutator(
% 0.72/1.12 inverse( Y ), X ) ) ] )
% 0.72/1.12 , clause( 561, [ =( commutator( inverse( multiply( X, Y ) ), X ),
% 0.72/1.12 commutator( inverse( Y ), X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 564, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 567, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.72/1.12 inverse( X ) ) ) ] )
% 0.72/1.12 , clause( 29, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, clause( 564, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 568, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.72/1.12 X, Y ) ) ) ] )
% 0.72/1.12 , clause( 567, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.72/1.12 inverse( X ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.72/1.12 X, Y ) ) ) ] )
% 0.72/1.12 , clause( 568, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.12 multiply( X, Y ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 570, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 32, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 573, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 0.72/1.12 inverse( X ) ) ) ] )
% 0.72/1.12 , clause( 10, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.72/1.12 , 0, clause( 570, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X )
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 40, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 573, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 576, [ =( commutator( X, Y ), multiply( multiply( multiply( X, Y )
% 0.72/1.13 , inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.13 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 581, [ =( commutator( X, inverse( multiply( Y, X ) ) ), multiply(
% 0.72/1.13 multiply( inverse( Y ), inverse( X ) ), inverse( inverse( multiply( Y, X
% 0.72/1.13 ) ) ) ) ) ] )
% 0.72/1.13 , clause( 32, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, clause( 576, [ =( commutator( X, Y ), multiply( multiply( multiply( X
% 0.72/1.13 , Y ), inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 582, [ =( commutator( X, inverse( multiply( Y, X ) ) ), multiply(
% 0.72/1.13 multiply( inverse( Y ), inverse( X ) ), multiply( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 14, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, clause( 581, [ =( commutator( X, inverse( multiply( Y, X ) ) ),
% 0.72/1.13 multiply( multiply( inverse( Y ), inverse( X ) ), inverse( inverse(
% 0.72/1.13 multiply( Y, X ) ) ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( Y ), inverse( X ) ) )
% 0.72/1.13 , :=( Y, multiply( Y, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 583, [ =( commutator( X, inverse( multiply( Y, X ) ) ), multiply(
% 0.72/1.13 multiply( multiply( inverse( Y ), inverse( X ) ), Y ), X ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 582, [ =( commutator( X, inverse( multiply( Y, X ) ) ),
% 0.72/1.13 multiply( multiply( inverse( Y ), inverse( X ) ), multiply( Y, X ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( Y ), inverse( X ) ) )
% 0.72/1.13 , :=( Y, Y ), :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 584, [ =( commutator( X, inverse( multiply( Y, X ) ) ), multiply(
% 0.72/1.13 multiply( inverse( multiply( X, Y ) ), Y ), X ) ) ] )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 583, [ =( commutator( X, inverse( multiply( Y, X ) ) ),
% 0.72/1.13 multiply( multiply( multiply( inverse( Y ), inverse( X ) ), Y ), X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 585, [ =( multiply( multiply( inverse( multiply( X, Y ) ), Y ), X )
% 0.72/1.13 , commutator( X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 584, [ =( commutator( X, inverse( multiply( Y, X ) ) ), multiply(
% 0.72/1.13 multiply( inverse( multiply( X, Y ) ), Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 41, [ =( multiply( multiply( inverse( multiply( X, Y ) ), Y ), X )
% 0.72/1.13 , commutator( X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 585, [ =( multiply( multiply( inverse( multiply( X, Y ) ), Y ), X
% 0.72/1.13 ), commutator( X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 587, [ =( commutator( X, Y ), multiply( multiply( multiply( X, Y )
% 0.72/1.13 , inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.13 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 595, [ =( commutator( inverse( X ), inverse( Y ) ), multiply(
% 0.72/1.13 multiply( inverse( multiply( Y, X ) ), inverse( inverse( X ) ) ), inverse(
% 0.72/1.13 inverse( Y ) ) ) ) ] )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 587, [ =( commutator( X, Y ), multiply( multiply( multiply( X
% 0.72/1.13 , Y ), inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 598, [ =( commutator( inverse( X ), inverse( Y ) ), multiply(
% 0.72/1.13 inverse( multiply( inverse( X ), multiply( Y, X ) ) ), inverse( inverse(
% 0.72/1.13 Y ) ) ) ) ] )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 595, [ =( commutator( inverse( X ), inverse( Y ) ), multiply(
% 0.72/1.13 multiply( inverse( multiply( Y, X ) ), inverse( inverse( X ) ) ), inverse(
% 0.72/1.13 inverse( Y ) ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, multiply( Y, X ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 600, [ =( commutator( inverse( X ), inverse( Y ) ), inverse(
% 0.72/1.13 multiply( inverse( Y ), multiply( inverse( X ), multiply( Y, X ) ) ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 598, [ =( commutator( inverse( X ), inverse( Y ) ), multiply(
% 0.72/1.13 inverse( multiply( inverse( X ), multiply( Y, X ) ) ), inverse( inverse(
% 0.72/1.13 Y ) ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( inverse(
% 0.72/1.13 X ), multiply( Y, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 601, [ =( commutator( inverse( X ), inverse( Y ) ), multiply(
% 0.72/1.13 inverse( multiply( inverse( X ), multiply( Y, X ) ) ), Y ) ) ] )
% 0.72/1.13 , clause( 33, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 0.72/1.13 inverse( Y ), X ) ) ] )
% 0.72/1.13 , 0, clause( 600, [ =( commutator( inverse( X ), inverse( Y ) ), inverse(
% 0.72/1.13 multiply( inverse( Y ), multiply( inverse( X ), multiply( Y, X ) ) ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( inverse( X ),
% 0.72/1.13 multiply( Y, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 603, [ =( commutator( inverse( X ), inverse( Y ) ), multiply(
% 0.72/1.13 multiply( inverse( multiply( Y, X ) ), X ), Y ) ) ] )
% 0.72/1.13 , clause( 33, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 0.72/1.13 inverse( Y ), X ) ) ] )
% 0.72/1.13 , 0, clause( 601, [ =( commutator( inverse( X ), inverse( Y ) ), multiply(
% 0.72/1.13 inverse( multiply( inverse( X ), multiply( Y, X ) ) ), Y ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, X ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 604, [ =( commutator( inverse( X ), inverse( Y ) ), commutator( Y,
% 0.72/1.13 inverse( multiply( X, Y ) ) ) ) ] )
% 0.72/1.13 , clause( 41, [ =( multiply( multiply( inverse( multiply( X, Y ) ), Y ), X
% 0.72/1.13 ), commutator( X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 603, [ =( commutator( inverse( X ), inverse( Y ) ), multiply(
% 0.72/1.13 multiply( inverse( multiply( Y, X ) ), X ), Y ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 605, [ =( commutator( Y, inverse( multiply( X, Y ) ) ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 604, [ =( commutator( inverse( X ), inverse( Y ) ), commutator( Y
% 0.72/1.13 , inverse( multiply( X, Y ) ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 44, [ =( commutator( Y, inverse( multiply( X, Y ) ) ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 605, [ =( commutator( Y, inverse( multiply( X, Y ) ) ),
% 0.72/1.13 commutator( inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 607, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.72/1.13 , Z ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 611, [ =( multiply( multiply( X, inverse( Y ) ), inverse( Z ) ),
% 0.72/1.13 multiply( X, inverse( multiply( Z, Y ) ) ) ) ] )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 607, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.72/1.13 multiply( Y, Z ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, inverse( Z ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 45, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 0.72/1.13 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 611, [ =( multiply( multiply( X, inverse( Y ) ), inverse( Z ) ),
% 0.72/1.13 multiply( X, inverse( multiply( Z, Y ) ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 615, [ =( multiply( X, inverse( Y ) ), multiply( multiply( X, Y ),
% 0.72/1.13 Y ) ) ] )
% 0.72/1.13 , clause( 28, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 621, [ =( multiply( X, inverse( inverse( multiply( Y, X ) ) ) ),
% 0.72/1.13 multiply( inverse( Y ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 32, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, clause( 615, [ =( multiply( X, inverse( Y ) ), multiply( multiply( X,
% 0.72/1.13 Y ), Y ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 622, [ =( multiply( X, inverse( inverse( multiply( Y, X ) ) ) ),
% 0.72/1.13 inverse( multiply( multiply( Y, X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 621, [ =( multiply( X, inverse( inverse( multiply( Y, X ) ) )
% 0.72/1.13 ), multiply( inverse( Y ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 623, [ =( multiply( X, multiply( Y, X ) ), inverse( multiply(
% 0.72/1.13 multiply( Y, X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.13 , 0, clause( 622, [ =( multiply( X, inverse( inverse( multiply( Y, X ) ) )
% 0.72/1.13 ), inverse( multiply( multiply( Y, X ), Y ) ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 624, [ =( multiply( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( Y, X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 623, [ =( multiply( X, multiply( Y, X ) ), inverse( multiply(
% 0.72/1.13 multiply( Y, X ), Y ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 625, [ =( inverse( multiply( multiply( Y, X ), Y ) ), multiply(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , clause( 624, [ =( multiply( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( Y, X ), Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 46, [ =( inverse( multiply( multiply( Y, X ), Y ) ), multiply(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , clause( 625, [ =( inverse( multiply( multiply( Y, X ), Y ) ), multiply(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 627, [ =( commutator( X, Y ), multiply( multiply( multiply( X, Y )
% 0.72/1.13 , inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.13 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 640, [ =( commutator( multiply( X, Y ), Y ), multiply( multiply(
% 0.72/1.13 multiply( X, inverse( Y ) ), inverse( multiply( X, Y ) ) ), inverse( Y )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , clause( 28, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , 0, clause( 627, [ =( commutator( X, Y ), multiply( multiply( multiply( X
% 0.72/1.13 , Y ), inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( X, Y ) ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 643, [ =( commutator( multiply( X, Y ), Y ), multiply( multiply( X
% 0.72/1.13 , inverse( multiply( multiply( X, Y ), Y ) ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 45, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 0.72/1.13 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 640, [ =( commutator( multiply( X, Y ), Y ), multiply(
% 0.72/1.13 multiply( multiply( X, inverse( Y ) ), inverse( multiply( X, Y ) ) ),
% 0.72/1.13 inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) ), :=( Z, X
% 0.72/1.13 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 646, [ =( commutator( multiply( X, Y ), Y ), multiply( X, inverse(
% 0.72/1.13 multiply( Y, multiply( multiply( X, Y ), Y ) ) ) ) ) ] )
% 0.72/1.13 , clause( 45, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 0.72/1.13 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 643, [ =( commutator( multiply( X, Y ), Y ), multiply(
% 0.72/1.13 multiply( X, inverse( multiply( multiply( X, Y ), Y ) ) ), inverse( Y ) )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, multiply( multiply( X, Y ), Y ) ), :=( Y
% 0.72/1.13 , Y ), :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 647, [ =( commutator( multiply( X, Y ), Y ), multiply( X, inverse(
% 0.72/1.13 multiply( multiply( Y, multiply( X, Y ) ), Y ) ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 646, [ =( commutator( multiply( X, Y ), Y ), multiply( X,
% 0.72/1.13 inverse( multiply( Y, multiply( multiply( X, Y ), Y ) ) ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) ), :=( Z, Y
% 0.72/1.13 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 648, [ =( commutator( multiply( X, Y ), Y ), multiply( X, inverse(
% 0.72/1.13 multiply( multiply( multiply( Y, X ), Y ), Y ) ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 647, [ =( commutator( multiply( X, Y ), Y ), multiply( X,
% 0.72/1.13 inverse( multiply( multiply( Y, multiply( X, Y ) ), Y ) ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 649, [ =( commutator( multiply( X, Y ), Y ), multiply( X, inverse(
% 0.72/1.13 multiply( multiply( Y, X ), inverse( Y ) ) ) ) ) ] )
% 0.72/1.13 , clause( 28, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , 0, clause( 648, [ =( commutator( multiply( X, Y ), Y ), multiply( X,
% 0.72/1.13 inverse( multiply( multiply( multiply( Y, X ), Y ), Y ) ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 650, [ =( commutator( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.72/1.13 Y, inverse( multiply( Y, X ) ) ) ) ) ] )
% 0.72/1.13 , clause( 40, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , 0, clause( 649, [ =( commutator( multiply( X, Y ), Y ), multiply( X,
% 0.72/1.13 inverse( multiply( multiply( Y, X ), inverse( Y ) ) ) ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 651, [ =( commutator( multiply( X, Y ), Y ), multiply( multiply( X
% 0.72/1.13 , Y ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 650, [ =( commutator( multiply( X, Y ), Y ), multiply( X,
% 0.72/1.13 multiply( Y, inverse( multiply( Y, X ) ) ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply(
% 0.72/1.13 Y, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 652, [ =( multiply( multiply( X, Y ), inverse( multiply( Y, X ) ) )
% 0.72/1.13 , commutator( multiply( X, Y ), Y ) ) ] )
% 0.72/1.13 , clause( 651, [ =( commutator( multiply( X, Y ), Y ), multiply( multiply(
% 0.72/1.13 X, Y ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 47, [ =( multiply( multiply( X, Y ), inverse( multiply( Y, X ) ) )
% 0.72/1.13 , commutator( multiply( X, Y ), Y ) ) ] )
% 0.72/1.13 , clause( 652, [ =( multiply( multiply( X, Y ), inverse( multiply( Y, X ) )
% 0.72/1.13 ), commutator( multiply( X, Y ), Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 654, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 0.72/1.13 inverse( Y ) ) ) ) ] )
% 0.72/1.13 , clause( 40, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 661, [ =( multiply( X, inverse( multiply( multiply( Y, X ), inverse(
% 0.72/1.13 Y ) ) ) ), inverse( commutator( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.13 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 654, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 0.72/1.13 inverse( Y ) ) ) ) ] )
% 0.72/1.13 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( multiply( Y, X ), inverse( Y ) ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 662, [ =( multiply( X, multiply( Y, inverse( multiply( Y, X ) ) ) )
% 0.72/1.13 , inverse( commutator( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 40, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , 0, clause( 661, [ =( multiply( X, inverse( multiply( multiply( Y, X ),
% 0.72/1.13 inverse( Y ) ) ) ), inverse( commutator( Y, X ) ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 663, [ =( multiply( multiply( X, Y ), inverse( multiply( Y, X ) ) )
% 0.72/1.13 , inverse( commutator( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 662, [ =( multiply( X, multiply( Y, inverse( multiply( Y, X )
% 0.72/1.13 ) ) ), inverse( commutator( Y, X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply(
% 0.72/1.13 Y, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 664, [ =( commutator( multiply( X, Y ), Y ), inverse( commutator( Y
% 0.72/1.13 , X ) ) ) ] )
% 0.72/1.13 , clause( 47, [ =( multiply( multiply( X, Y ), inverse( multiply( Y, X ) )
% 0.72/1.13 ), commutator( multiply( X, Y ), Y ) ) ] )
% 0.72/1.13 , 0, clause( 663, [ =( multiply( multiply( X, Y ), inverse( multiply( Y, X
% 0.72/1.13 ) ) ), inverse( commutator( Y, X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator( X
% 0.72/1.13 , Y ) ) ) ] )
% 0.72/1.13 , clause( 664, [ =( commutator( multiply( X, Y ), Y ), inverse( commutator(
% 0.72/1.13 Y, X ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 667, [ =( inverse( commutator( Y, X ) ), commutator( multiply( X, Y
% 0.72/1.13 ), Y ) ) ] )
% 0.72/1.13 , clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator(
% 0.72/1.13 X, Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 668, [ =( inverse( commutator( X, multiply( Y, X ) ) ), commutator(
% 0.72/1.13 multiply( Y, inverse( X ) ), X ) ) ] )
% 0.72/1.13 , clause( 28, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , 0, clause( 667, [ =( inverse( commutator( Y, X ) ), commutator( multiply(
% 0.72/1.13 X, Y ), Y ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 669, [ =( commutator( multiply( Y, inverse( X ) ), X ), inverse(
% 0.72/1.13 commutator( X, multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 668, [ =( inverse( commutator( X, multiply( Y, X ) ) ),
% 0.72/1.13 commutator( multiply( Y, inverse( X ) ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 52, [ =( commutator( multiply( X, inverse( Y ) ), Y ), inverse(
% 0.72/1.13 commutator( Y, multiply( X, Y ) ) ) ) ] )
% 0.72/1.13 , clause( 669, [ =( commutator( multiply( Y, inverse( X ) ), X ), inverse(
% 0.72/1.13 commutator( X, multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 671, [ =( inverse( commutator( Y, X ) ), commutator( multiply( X, Y
% 0.72/1.13 ), Y ) ) ] )
% 0.72/1.13 , clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator(
% 0.72/1.13 X, Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 672, [ =( inverse( commutator( inverse( X ), inverse( Y ) ) ),
% 0.72/1.13 commutator( inverse( multiply( X, Y ) ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 671, [ =( inverse( commutator( Y, X ) ), commutator( multiply(
% 0.72/1.13 X, Y ), Y ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, inverse( Y ) ), :=( Y, inverse( X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 673, [ =( commutator( inverse( multiply( X, Y ) ), inverse( X ) ),
% 0.72/1.13 inverse( commutator( inverse( X ), inverse( Y ) ) ) ) ] )
% 0.72/1.13 , clause( 672, [ =( inverse( commutator( inverse( X ), inverse( Y ) ) ),
% 0.72/1.13 commutator( inverse( multiply( X, Y ) ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 53, [ =( commutator( inverse( multiply( Y, X ) ), inverse( Y ) ),
% 0.72/1.13 inverse( commutator( inverse( Y ), inverse( X ) ) ) ) ] )
% 0.72/1.13 , clause( 673, [ =( commutator( inverse( multiply( X, Y ) ), inverse( X ) )
% 0.72/1.13 , inverse( commutator( inverse( X ), inverse( Y ) ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 674, [ =( multiply( inverse( Y ), X ), inverse( multiply( inverse(
% 0.72/1.13 X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 33, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 0.72/1.13 inverse( Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 680, [ =( multiply( inverse( X ), multiply( inverse( Y ), Z ) ),
% 0.72/1.13 inverse( multiply( multiply( inverse( Z ), Y ), X ) ) ) ] )
% 0.72/1.13 , clause( 33, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 0.72/1.13 inverse( Y ), X ) ) ] )
% 0.72/1.13 , 0, clause( 674, [ =( multiply( inverse( Y ), X ), inverse( multiply(
% 0.72/1.13 inverse( X ), Y ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( inverse( Y ), Z ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 683, [ =( multiply( multiply( inverse( X ), inverse( Y ) ), Z ),
% 0.72/1.13 inverse( multiply( multiply( inverse( Z ), Y ), X ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 680, [ =( multiply( inverse( X ), multiply( inverse( Y ), Z )
% 0.72/1.13 ), inverse( multiply( multiply( inverse( Z ), Y ), X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, inverse( Y ) ),
% 0.72/1.13 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 684, [ =( multiply( inverse( multiply( Y, X ) ), Z ), inverse(
% 0.72/1.13 multiply( multiply( inverse( Z ), Y ), X ) ) ) ] )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 683, [ =( multiply( multiply( inverse( X ), inverse( Y ) ), Z
% 0.72/1.13 ), inverse( multiply( multiply( inverse( Z ), Y ), X ) ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 685, [ =( inverse( multiply( multiply( inverse( Z ), X ), Y ) ),
% 0.72/1.13 multiply( inverse( multiply( X, Y ) ), Z ) ) ] )
% 0.72/1.13 , clause( 684, [ =( multiply( inverse( multiply( Y, X ) ), Z ), inverse(
% 0.72/1.13 multiply( multiply( inverse( Z ), Y ), X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 58, [ =( inverse( multiply( multiply( inverse( Y ), X ), Z ) ),
% 0.72/1.13 multiply( inverse( multiply( X, Z ) ), Y ) ) ] )
% 0.72/1.13 , clause( 685, [ =( inverse( multiply( multiply( inverse( Z ), X ), Y ) ),
% 0.72/1.13 multiply( inverse( multiply( X, Y ) ), Z ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 687, [ =( commutator( inverse( Y ), X ), commutator( inverse(
% 0.72/1.13 multiply( X, Y ) ), X ) ) ] )
% 0.72/1.13 , clause( 34, [ =( commutator( inverse( multiply( X, Y ) ), X ), commutator(
% 0.72/1.13 inverse( Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 691, [ =( commutator( inverse( inverse( multiply( X, Y ) ) ), Y ),
% 0.72/1.13 commutator( inverse( inverse( X ) ), Y ) ) ] )
% 0.72/1.13 , clause( 32, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, clause( 687, [ =( commutator( inverse( Y ), X ), commutator( inverse(
% 0.72/1.13 multiply( X, Y ) ), X ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 693, [ =( commutator( inverse( inverse( multiply( X, Y ) ) ), Y ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.13 , 0, clause( 691, [ =( commutator( inverse( inverse( multiply( X, Y ) ) ),
% 0.72/1.13 Y ), commutator( inverse( inverse( X ) ), Y ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 695, [ =( commutator( multiply( X, Y ), Y ), commutator( X, Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.13 , 0, clause( 693, [ =( commutator( inverse( inverse( multiply( X, Y ) ) ),
% 0.72/1.13 Y ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 696, [ =( inverse( commutator( Y, X ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator(
% 0.72/1.13 X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 695, [ =( commutator( multiply( X, Y ), Y ), commutator( X, Y
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , clause( 696, [ =( inverse( commutator( Y, X ) ), commutator( X, Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 699, [ =( commutator( Y, X ), inverse( commutator( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 703, [ =( commutator( X, multiply( Y, X ) ), inverse( inverse(
% 0.72/1.13 commutator( X, Y ) ) ) ) ] )
% 0.72/1.13 , clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator(
% 0.72/1.13 X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 699, [ =( commutator( Y, X ), inverse( commutator( X, Y ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 704, [ =( commutator( X, multiply( Y, X ) ), commutator( X, Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.13 , 0, clause( 703, [ =( commutator( X, multiply( Y, X ) ), inverse( inverse(
% 0.72/1.13 commutator( X, Y ) ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, commutator( X, Y ) )] ), substitution( 1
% 0.72/1.13 , [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 81, [ =( commutator( Y, multiply( X, Y ) ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 704, [ =( commutator( X, multiply( Y, X ) ), commutator( X, Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 707, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 0.72/1.13 inverse( Y ) ) ) ) ] )
% 0.72/1.13 , clause( 40, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 709, [ =( multiply( commutator( X, Y ), inverse( Z ) ), inverse(
% 0.72/1.13 multiply( Z, commutator( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 707, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 0.72/1.13 inverse( Y ) ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, Z ), :=( Y, commutator( X, Y ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 82, [ =( multiply( commutator( X, Y ), inverse( Z ) ), inverse(
% 0.72/1.13 multiply( Z, commutator( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 709, [ =( multiply( commutator( X, Y ), inverse( Z ) ), inverse(
% 0.72/1.13 multiply( Z, commutator( Y, X ) ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 713, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.72/1.13 , clause( 10, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 714, [ =( X, multiply( multiply( X, commutator( Z, Y ) ),
% 0.72/1.13 commutator( Y, Z ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 713, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, commutator( Y, Z ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 715, [ =( multiply( multiply( X, commutator( Y, Z ) ), commutator(
% 0.72/1.13 Z, Y ) ), X ) ] )
% 0.72/1.13 , clause( 714, [ =( X, multiply( multiply( X, commutator( Z, Y ) ),
% 0.72/1.13 commutator( Y, Z ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 83, [ =( multiply( multiply( Z, commutator( Y, X ) ), commutator( X
% 0.72/1.13 , Y ) ), Z ) ] )
% 0.72/1.13 , clause( 715, [ =( multiply( multiply( X, commutator( Y, Z ) ), commutator(
% 0.72/1.13 Z, Y ) ), X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 717, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 0.72/1.13 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 718, [ =( identity, multiply( commutator( Y, X ), commutator( X, Y
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 717, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, commutator( X, Y ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 719, [ =( multiply( commutator( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , clause( 718, [ =( identity, multiply( commutator( Y, X ), commutator( X,
% 0.72/1.13 Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 85, [ =( multiply( commutator( Y, X ), commutator( X, Y ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , clause( 719, [ =( multiply( commutator( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 721, [ =( commutator( X, Y ), commutator( X, multiply( Y, X ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 81, [ =( commutator( Y, multiply( X, Y ) ), commutator( Y, X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 723, [ =( commutator( X, multiply( Y, X ) ), commutator( X,
% 0.72/1.13 multiply( Y, inverse( X ) ) ) ) ] )
% 0.72/1.13 , clause( 28, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , 0, clause( 721, [ =( commutator( X, Y ), commutator( X, multiply( Y, X )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 724, [ =( commutator( X, Y ), commutator( X, multiply( Y, inverse(
% 0.72/1.13 X ) ) ) ) ] )
% 0.72/1.13 , clause( 81, [ =( commutator( Y, multiply( X, Y ) ), commutator( Y, X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 723, [ =( commutator( X, multiply( Y, X ) ), commutator( X,
% 0.72/1.13 multiply( Y, inverse( X ) ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 725, [ =( commutator( X, multiply( Y, inverse( X ) ) ), commutator(
% 0.72/1.13 X, Y ) ) ] )
% 0.72/1.13 , clause( 724, [ =( commutator( X, Y ), commutator( X, multiply( Y, inverse(
% 0.72/1.13 X ) ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 86, [ =( commutator( Y, multiply( X, inverse( Y ) ) ), commutator(
% 0.72/1.13 Y, X ) ) ] )
% 0.72/1.13 , clause( 725, [ =( commutator( X, multiply( Y, inverse( X ) ) ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 727, [ =( commutator( X, Y ), commutator( X, multiply( Y, X ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 81, [ =( commutator( Y, multiply( X, Y ) ), commutator( Y, X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 730, [ =( commutator( inverse( multiply( X, Y ) ), Y ), commutator(
% 0.72/1.13 inverse( multiply( X, Y ) ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 32, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, clause( 727, [ =( commutator( X, Y ), commutator( X, multiply( Y, X )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 731, [ =( commutator( inverse( multiply( X, Y ) ), Y ), inverse(
% 0.72/1.13 commutator( inverse( X ), inverse( Y ) ) ) ) ] )
% 0.72/1.13 , clause( 53, [ =( commutator( inverse( multiply( Y, X ) ), inverse( Y ) )
% 0.72/1.13 , inverse( commutator( inverse( Y ), inverse( X ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 730, [ =( commutator( inverse( multiply( X, Y ) ), Y ),
% 0.72/1.13 commutator( inverse( multiply( X, Y ) ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 732, [ =( commutator( inverse( multiply( X, Y ) ), Y ), commutator(
% 0.72/1.13 inverse( Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 731, [ =( commutator( inverse( multiply( X, Y ) ), Y ),
% 0.72/1.13 inverse( commutator( inverse( X ), inverse( Y ) ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 87, [ =( commutator( inverse( multiply( Y, X ) ), X ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 732, [ =( commutator( inverse( multiply( X, Y ) ), Y ),
% 0.72/1.13 commutator( inverse( Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 735, [ =( commutator( X, Y ), commutator( X, multiply( Y, inverse(
% 0.72/1.13 X ) ) ) ) ] )
% 0.72/1.13 , clause( 86, [ =( commutator( Y, multiply( X, inverse( Y ) ) ), commutator(
% 0.72/1.13 Y, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 738, [ =( commutator( multiply( X, Y ), Y ), commutator( multiply(
% 0.72/1.13 X, Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 32, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, clause( 735, [ =( commutator( X, Y ), commutator( X, multiply( Y,
% 0.72/1.13 inverse( X ) ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( X, Y ) ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 739, [ =( inverse( commutator( Y, X ) ), commutator( multiply( X, Y
% 0.72/1.13 ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator(
% 0.72/1.13 X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 738, [ =( commutator( multiply( X, Y ), Y ), commutator(
% 0.72/1.13 multiply( X, Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 740, [ =( commutator( Y, X ), commutator( multiply( Y, X ), inverse(
% 0.72/1.13 Y ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 739, [ =( inverse( commutator( Y, X ) ), commutator( multiply(
% 0.72/1.13 X, Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 741, [ =( commutator( multiply( X, Y ), inverse( X ) ), commutator(
% 0.72/1.13 X, Y ) ) ] )
% 0.72/1.13 , clause( 740, [ =( commutator( Y, X ), commutator( multiply( Y, X ),
% 0.72/1.13 inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 92, [ =( commutator( multiply( Y, X ), inverse( Y ) ), commutator(
% 0.72/1.13 Y, X ) ) ] )
% 0.72/1.13 , clause( 741, [ =( commutator( multiply( X, Y ), inverse( X ) ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 743, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.13 commutator( X, Y ), Y ) ) ] )
% 0.72/1.13 , clause( 21, [ =( multiply( commutator( X, Y ), Y ), multiply( multiply( X
% 0.72/1.13 , Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 749, [ =( multiply( multiply( X, multiply( Y, X ) ), inverse( X ) )
% 0.72/1.13 , multiply( commutator( X, Y ), multiply( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 81, [ =( commutator( Y, multiply( X, Y ) ), commutator( Y, X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 743, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.13 commutator( X, Y ), Y ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 751, [ =( multiply( multiply( X, multiply( Y, X ) ), inverse( X ) )
% 0.72/1.13 , multiply( multiply( commutator( X, Y ), Y ), X ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 749, [ =( multiply( multiply( X, multiply( Y, X ) ), inverse(
% 0.72/1.13 X ) ), multiply( commutator( X, Y ), multiply( Y, X ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, commutator( X, Y ) ), :=( Y, Y ), :=( Z,
% 0.72/1.13 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 753, [ =( multiply( multiply( multiply( X, Y ), X ), inverse( X ) )
% 0.72/1.13 , multiply( multiply( commutator( X, Y ), Y ), X ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 751, [ =( multiply( multiply( X, multiply( Y, X ) ), inverse(
% 0.72/1.13 X ) ), multiply( multiply( commutator( X, Y ), Y ), X ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 754, [ =( multiply( X, Y ), multiply( multiply( commutator( X, Y )
% 0.72/1.13 , Y ), X ) ) ] )
% 0.72/1.13 , clause( 11, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.72/1.13 , 0, clause( 753, [ =( multiply( multiply( multiply( X, Y ), X ), inverse(
% 0.72/1.13 X ) ), multiply( multiply( commutator( X, Y ), Y ), X ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 755, [ =( multiply( multiply( commutator( X, Y ), Y ), X ),
% 0.72/1.13 multiply( X, Y ) ) ] )
% 0.72/1.13 , clause( 754, [ =( multiply( X, Y ), multiply( multiply( commutator( X, Y
% 0.72/1.13 ), Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 98, [ =( multiply( multiply( commutator( X, Y ), Y ), X ), multiply(
% 0.72/1.13 X, Y ) ) ] )
% 0.72/1.13 , clause( 755, [ =( multiply( multiply( commutator( X, Y ), Y ), X ),
% 0.72/1.13 multiply( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 756, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.13 commutator( X, Y ), Y ) ) ] )
% 0.72/1.13 , clause( 21, [ =( multiply( commutator( X, Y ), Y ), multiply( multiply( X
% 0.72/1.13 , Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 757, [ =( inverse( commutator( Y, X ) ), commutator( multiply( X, Y
% 0.72/1.13 ), Y ) ) ] )
% 0.72/1.13 , clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator(
% 0.72/1.13 X, Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 760, [ =( inverse( commutator( inverse( X ), multiply( X, Y ) ) ),
% 0.72/1.13 commutator( multiply( commutator( X, Y ), Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 756, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.13 commutator( X, Y ), Y ) ) ] )
% 0.72/1.13 , 0, clause( 757, [ =( inverse( commutator( Y, X ) ), commutator( multiply(
% 0.72/1.13 X, Y ), Y ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 761, [ =( commutator( multiply( X, Y ), inverse( X ) ), commutator(
% 0.72/1.13 multiply( commutator( X, Y ), Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 760, [ =( inverse( commutator( inverse( X ), multiply( X, Y )
% 0.72/1.13 ) ), commutator( multiply( commutator( X, Y ), Y ), inverse( X ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, multiply( X, Y ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 762, [ =( commutator( X, Y ), commutator( multiply( commutator( X,
% 0.72/1.13 Y ), Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 92, [ =( commutator( multiply( Y, X ), inverse( Y ) ), commutator(
% 0.72/1.13 Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 761, [ =( commutator( multiply( X, Y ), inverse( X ) ),
% 0.72/1.13 commutator( multiply( commutator( X, Y ), Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 763, [ =( commutator( multiply( commutator( X, Y ), Y ), inverse( X
% 0.72/1.13 ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 762, [ =( commutator( X, Y ), commutator( multiply( commutator( X
% 0.72/1.13 , Y ), Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 104, [ =( commutator( multiply( commutator( X, Y ), Y ), inverse( X
% 0.72/1.13 ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 763, [ =( commutator( multiply( commutator( X, Y ), Y ), inverse(
% 0.72/1.13 X ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 765, [ =( commutator( Y, X ), inverse( commutator( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 769, [ =( commutator( inverse( X ), multiply( X, Y ) ), inverse(
% 0.72/1.13 commutator( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 92, [ =( commutator( multiply( Y, X ), inverse( Y ) ), commutator(
% 0.72/1.13 Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 765, [ =( commutator( Y, X ), inverse( commutator( X, Y ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 770, [ =( commutator( inverse( X ), multiply( X, Y ) ), commutator(
% 0.72/1.13 Y, X ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 769, [ =( commutator( inverse( X ), multiply( X, Y ) ),
% 0.72/1.13 inverse( commutator( X, Y ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 116, [ =( commutator( inverse( X ), multiply( X, Y ) ), commutator(
% 0.72/1.13 Y, X ) ) ] )
% 0.72/1.13 , clause( 770, [ =( commutator( inverse( X ), multiply( X, Y ) ),
% 0.72/1.13 commutator( Y, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 773, [ =( commutator( X, Y ), commutator( multiply( X, Y ), inverse(
% 0.72/1.13 X ) ) ) ] )
% 0.72/1.13 , clause( 92, [ =( commutator( multiply( Y, X ), inverse( Y ) ), commutator(
% 0.72/1.13 Y, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 774, [ =( commutator( inverse( X ), Y ), commutator( multiply(
% 0.72/1.13 inverse( X ), Y ), X ) ) ] )
% 0.72/1.13 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.13 , 0, clause( 773, [ =( commutator( X, Y ), commutator( multiply( X, Y ),
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.72/1.13 inverse( X ) ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 775, [ =( commutator( multiply( inverse( X ), Y ), X ), commutator(
% 0.72/1.13 inverse( X ), Y ) ) ] )
% 0.72/1.13 , clause( 774, [ =( commutator( inverse( X ), Y ), commutator( multiply(
% 0.72/1.13 inverse( X ), Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 119, [ =( commutator( multiply( inverse( X ), Y ), X ), commutator(
% 0.72/1.13 inverse( X ), Y ) ) ] )
% 0.72/1.13 , clause( 775, [ =( commutator( multiply( inverse( X ), Y ), X ),
% 0.72/1.13 commutator( inverse( X ), Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 777, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 inverse( multiply( X, Y ) ), Y ) ) ] )
% 0.72/1.13 , clause( 87, [ =( commutator( inverse( multiply( Y, X ) ), X ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 781, [ =( commutator( inverse( X ), inverse( multiply( multiply( Y
% 0.72/1.13 , X ), Y ) ) ), commutator( inverse( inverse( multiply( Y, X ) ) ), X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 27, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 777, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 inverse( multiply( X, Y ) ), Y ) ) ] )
% 0.72/1.13 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( multiply( Y, X ), Y ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 782, [ =( commutator( inverse( X ), inverse( multiply( multiply( Y
% 0.72/1.13 , X ), Y ) ) ), commutator( multiply( Y, X ), X ) ) ] )
% 0.72/1.13 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.13 , 0, clause( 781, [ =( commutator( inverse( X ), inverse( multiply(
% 0.72/1.13 multiply( Y, X ), Y ) ) ), commutator( inverse( inverse( multiply( Y, X )
% 0.72/1.13 ) ), X ) ) ] )
% 0.72/1.13 , 0, 11, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1
% 0.72/1.13 , [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 783, [ =( commutator( inverse( X ), inverse( multiply( multiply( Y
% 0.72/1.13 , X ), Y ) ) ), inverse( commutator( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator(
% 0.72/1.13 X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 782, [ =( commutator( inverse( X ), inverse( multiply(
% 0.72/1.13 multiply( Y, X ), Y ) ) ), commutator( multiply( Y, X ), X ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 784, [ =( commutator( inverse( X ), inverse( multiply( multiply( Y
% 0.72/1.13 , X ), Y ) ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 783, [ =( commutator( inverse( X ), inverse( multiply(
% 0.72/1.13 multiply( Y, X ), Y ) ) ), inverse( commutator( X, Y ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 151, [ =( commutator( inverse( Y ), inverse( multiply( multiply( X
% 0.72/1.13 , Y ), X ) ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 784, [ =( commutator( inverse( X ), inverse( multiply( multiply(
% 0.72/1.13 Y, X ), Y ) ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 786, [ =( multiply( multiply( Y, X ), Y ), inverse( multiply(
% 0.72/1.13 multiply( X, Y ), X ) ) ) ] )
% 0.72/1.13 , clause( 46, [ =( inverse( multiply( multiply( Y, X ), Y ) ), multiply(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 787, [ =( commutator( X, Y ), multiply( multiply( multiply( X, Y )
% 0.72/1.13 , inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.13 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 800, [ =( commutator( multiply( X, Y ), X ), multiply( multiply(
% 0.72/1.13 inverse( multiply( multiply( Y, X ), Y ) ), inverse( multiply( X, Y ) ) )
% 0.72/1.13 , inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 786, [ =( multiply( multiply( Y, X ), Y ), inverse( multiply(
% 0.72/1.13 multiply( X, Y ), X ) ) ) ] )
% 0.72/1.13 , 0, clause( 787, [ =( commutator( X, Y ), multiply( multiply( multiply( X
% 0.72/1.13 , Y ), inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 811, [ =( commutator( multiply( X, Y ), X ), multiply( inverse(
% 0.72/1.13 multiply( multiply( Y, X ), Y ) ), inverse( multiply( X, multiply( X, Y )
% 0.72/1.13 ) ) ) ) ] )
% 0.72/1.13 , clause( 45, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 0.72/1.13 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 800, [ =( commutator( multiply( X, Y ), X ), multiply(
% 0.72/1.13 multiply( inverse( multiply( multiply( Y, X ), Y ) ), inverse( multiply(
% 0.72/1.13 X, Y ) ) ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, X ), :=( Z,
% 0.72/1.13 inverse( multiply( multiply( Y, X ), Y ) ) )] ), substitution( 1, [ :=( X
% 0.72/1.13 , X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 812, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( X, multiply( X, Y ) ), multiply( multiply( Y, X ), Y ) ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 811, [ =( commutator( multiply( X, Y ), X ), multiply( inverse(
% 0.72/1.13 multiply( multiply( Y, X ), Y ) ), inverse( multiply( X, multiply( X, Y )
% 0.72/1.13 ) ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, multiply( X, multiply( X, Y ) ) ), :=( Y
% 0.72/1.13 , multiply( multiply( Y, X ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 814, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( X, X ), Y ), multiply( multiply( Y, X ), Y ) ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 812, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( X, multiply( X, Y ) ), multiply( multiply( Y, X ), Y ) ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 818, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( multiply( X, X ), Y ), multiply( Y, X ) ), Y ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 814, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( X, X ), Y ), multiply( multiply( Y, X ), Y ) ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, multiply( multiply( X, X ), Y ) ), :=( Y
% 0.72/1.13 , multiply( Y, X ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.72/1.13 , Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 820, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( multiply( multiply( X, X ), Y ), Y ), X ), Y ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 818, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( multiply( X, X ), Y ), multiply( Y, X ) ), Y ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, multiply( multiply( X, X ), Y ) ), :=( Y
% 0.72/1.13 , Y ), :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 821, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( multiply( X, X ), inverse( Y ) ), X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 28, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , 0, clause( 820, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( multiply( multiply( X, X ), Y ), Y ), X ), Y ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, X ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 822, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( inverse( X ), inverse( Y ) ), X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 15, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.72/1.13 , 0, clause( 821, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( multiply( X, X ), inverse( Y ) ), X ), Y ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 823, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( inverse( multiply( Y, X ) ), X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 36, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 822, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( multiply( inverse( X ), inverse( Y ) ), X ), Y ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 824, [ =( commutator( multiply( X, Y ), X ), multiply( inverse(
% 0.72/1.13 multiply( X, Y ) ), multiply( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 58, [ =( inverse( multiply( multiply( inverse( Y ), X ), Z ) ),
% 0.72/1.13 multiply( inverse( multiply( X, Z ) ), Y ) ) ] )
% 0.72/1.13 , 0, clause( 823, [ =( commutator( multiply( X, Y ), X ), inverse( multiply(
% 0.72/1.13 multiply( inverse( multiply( Y, X ) ), X ), Y ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, X ) ), :=( Z, Y
% 0.72/1.13 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 825, [ =( commutator( multiply( X, Y ), X ), multiply( multiply(
% 0.72/1.13 inverse( multiply( X, Y ) ), Y ), X ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 824, [ =( commutator( multiply( X, Y ), X ), multiply( inverse(
% 0.72/1.13 multiply( X, Y ) ), multiply( Y, X ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Y )
% 0.72/1.13 , :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 826, [ =( commutator( multiply( X, Y ), X ), commutator( X, inverse(
% 0.72/1.13 multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 41, [ =( multiply( multiply( inverse( multiply( X, Y ) ), Y ), X
% 0.72/1.13 ), commutator( X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 825, [ =( commutator( multiply( X, Y ), X ), multiply(
% 0.72/1.13 multiply( inverse( multiply( X, Y ) ), Y ), X ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 827, [ =( commutator( multiply( X, Y ), X ), commutator( inverse( Y
% 0.72/1.13 ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 44, [ =( commutator( Y, inverse( multiply( X, Y ) ) ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 826, [ =( commutator( multiply( X, Y ), X ), commutator( X,
% 0.72/1.13 inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 828, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , clause( 827, [ =( commutator( multiply( X, Y ), X ), commutator( inverse(
% 0.72/1.13 Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 171, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , clause( 828, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 829, [ =( commutator( multiply( Y, X ), Y ), commutator( inverse( X
% 0.72/1.13 ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 171, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 837, [ =( commutator( multiply( X, multiply( Y, inverse( X ) ) ), X
% 0.72/1.13 ), commutator( inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 87, [ =( commutator( inverse( multiply( Y, X ) ), X ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 829, [ =( commutator( multiply( Y, X ), Y ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, multiply( Y, inverse( X ) ) ), :=( Y, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 838, [ =( commutator( multiply( multiply( X, Y ), inverse( X ) ), X
% 0.72/1.13 ), commutator( inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 837, [ =( commutator( multiply( X, multiply( Y, inverse( X ) )
% 0.72/1.13 ), X ), commutator( inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 839, [ =( inverse( commutator( X, multiply( multiply( X, Y ), X ) )
% 0.72/1.13 ), commutator( inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 52, [ =( commutator( multiply( X, inverse( Y ) ), Y ), inverse(
% 0.72/1.13 commutator( Y, multiply( X, Y ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 838, [ =( commutator( multiply( multiply( X, Y ), inverse( X )
% 0.72/1.13 ), X ), commutator( inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, X )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 840, [ =( commutator( multiply( multiply( X, Y ), X ), X ),
% 0.72/1.13 commutator( inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 839, [ =( inverse( commutator( X, multiply( multiply( X, Y ),
% 0.72/1.13 X ) ) ), commutator( inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, multiply( multiply( X, Y ), X
% 0.72/1.13 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 841, [ =( inverse( commutator( X, multiply( X, Y ) ) ), commutator(
% 0.72/1.13 inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator(
% 0.72/1.13 X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 840, [ =( commutator( multiply( multiply( X, Y ), X ), X ),
% 0.72/1.13 commutator( inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 842, [ =( commutator( multiply( X, Y ), X ), commutator( inverse(
% 0.72/1.13 inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 841, [ =( inverse( commutator( X, multiply( X, Y ) ) ),
% 0.72/1.13 commutator( inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 843, [ =( commutator( multiply( X, Y ), X ), commutator( X, inverse(
% 0.72/1.13 Y ) ) ) ] )
% 0.72/1.13 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.13 , 0, clause( 842, [ =( commutator( multiply( X, Y ), X ), commutator(
% 0.72/1.13 inverse( inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 172, [ =( commutator( multiply( Y, X ), Y ), commutator( Y, inverse(
% 0.72/1.13 X ) ) ) ] )
% 0.72/1.13 , clause( 843, [ =( commutator( multiply( X, Y ), X ), commutator( X,
% 0.72/1.13 inverse( Y ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 846, [ =( commutator( multiply( Y, X ), Y ), commutator( inverse( X
% 0.72/1.13 ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 171, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 849, [ =( commutator( inverse( multiply( X, Y ) ), multiply(
% 0.72/1.13 multiply( X, Y ), X ) ), commutator( inverse( Y ), inverse( multiply(
% 0.72/1.13 multiply( X, Y ), X ) ) ) ) ] )
% 0.72/1.13 , clause( 27, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.72/1.13 multiply( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 846, [ =( commutator( multiply( Y, X ), Y ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, Y ), :=( Y, multiply( multiply( X, Y ), X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 850, [ =( commutator( inverse( multiply( X, Y ) ), multiply(
% 0.72/1.13 multiply( X, Y ), X ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 151, [ =( commutator( inverse( Y ), inverse( multiply( multiply(
% 0.72/1.13 X, Y ), X ) ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 849, [ =( commutator( inverse( multiply( X, Y ) ), multiply(
% 0.72/1.13 multiply( X, Y ), X ) ), commutator( inverse( Y ), inverse( multiply(
% 0.72/1.13 multiply( X, Y ), X ) ) ) ) ] )
% 0.72/1.13 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 851, [ =( commutator( X, multiply( X, Y ) ), commutator( X, Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 116, [ =( commutator( inverse( X ), multiply( X, Y ) ),
% 0.72/1.13 commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 850, [ =( commutator( inverse( multiply( X, Y ) ), multiply(
% 0.72/1.13 multiply( X, Y ), X ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, X )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 177, [ =( commutator( X, multiply( X, Y ) ), commutator( X, Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 851, [ =( commutator( X, multiply( X, Y ) ), commutator( X, Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 853, [ =( commutator( multiply( Y, X ), Y ), commutator( inverse( X
% 0.72/1.13 ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 171, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 854, [ =( commutator( Y, X ), inverse( commutator( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 858, [ =( commutator( X, multiply( X, Y ) ), inverse( commutator(
% 0.72/1.13 inverse( Y ), inverse( X ) ) ) ) ] )
% 0.72/1.13 , clause( 853, [ =( commutator( multiply( Y, X ), Y ), commutator( inverse(
% 0.72/1.13 X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 854, [ =( commutator( Y, X ), inverse( commutator( X, Y ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 859, [ =( commutator( X, multiply( X, Y ) ), commutator( inverse( X
% 0.72/1.13 ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 858, [ =( commutator( X, multiply( X, Y ) ), inverse(
% 0.72/1.13 commutator( inverse( Y ), inverse( X ) ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, inverse( X ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 860, [ =( commutator( X, Y ), commutator( inverse( X ), inverse( Y
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , clause( 177, [ =( commutator( X, multiply( X, Y ) ), commutator( X, Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 859, [ =( commutator( X, multiply( X, Y ) ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 861, [ =( commutator( inverse( X ), inverse( Y ) ), commutator( X,
% 0.72/1.13 Y ) ) ] )
% 0.72/1.13 , clause( 860, [ =( commutator( X, Y ), commutator( inverse( X ), inverse(
% 0.72/1.13 Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 193, [ =( commutator( inverse( Y ), inverse( X ) ), commutator( Y,
% 0.72/1.13 X ) ) ] )
% 0.72/1.13 , clause( 861, [ =( commutator( inverse( X ), inverse( Y ) ), commutator( X
% 0.72/1.13 , Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 862, [ =( commutator( multiply( Y, X ), Y ), commutator( inverse( X
% 0.72/1.13 ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 171, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 868, [ =( commutator( multiply( X, multiply( inverse( X ), Y ) ), X
% 0.72/1.13 ), commutator( inverse( Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 34, [ =( commutator( inverse( multiply( X, Y ) ), X ), commutator(
% 0.72/1.13 inverse( Y ), X ) ) ] )
% 0.72/1.13 , 0, clause( 862, [ =( commutator( multiply( Y, X ), Y ), commutator(
% 0.72/1.13 inverse( X ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, multiply( inverse( X ), Y ) ), :=( Y, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 869, [ =( commutator( X, inverse( multiply( inverse( X ), Y ) ) ),
% 0.72/1.13 commutator( inverse( Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 172, [ =( commutator( multiply( Y, X ), Y ), commutator( Y,
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , 0, clause( 868, [ =( commutator( multiply( X, multiply( inverse( X ), Y )
% 0.72/1.13 ), X ), commutator( inverse( Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) ), :=( Y, X )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 870, [ =( commutator( X, multiply( inverse( Y ), X ) ), commutator(
% 0.72/1.13 inverse( Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 33, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 0.72/1.13 inverse( Y ), X ) ) ] )
% 0.72/1.13 , 0, clause( 869, [ =( commutator( X, inverse( multiply( inverse( X ), Y )
% 0.72/1.13 ) ), commutator( inverse( Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 871, [ =( commutator( X, inverse( Y ) ), commutator( inverse( Y ),
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 81, [ =( commutator( Y, multiply( X, Y ) ), commutator( Y, X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 870, [ =( commutator( X, multiply( inverse( Y ), X ) ),
% 0.72/1.13 commutator( inverse( Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 872, [ =( commutator( X, inverse( Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , clause( 193, [ =( commutator( inverse( Y ), inverse( X ) ), commutator( Y
% 0.72/1.13 , X ) ) ] )
% 0.72/1.13 , 0, clause( 871, [ =( commutator( X, inverse( Y ) ), commutator( inverse(
% 0.72/1.13 Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 195, [ =( commutator( X, inverse( Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , clause( 872, [ =( commutator( X, inverse( Y ) ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 874, [ =( commutator( inverse( Y ), X ), commutator( inverse(
% 0.72/1.13 multiply( X, Y ) ), X ) ) ] )
% 0.72/1.13 , clause( 34, [ =( commutator( inverse( multiply( X, Y ) ), X ), commutator(
% 0.72/1.13 inverse( Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 882, [ =( commutator( inverse( X ), inverse( Y ) ), commutator(
% 0.72/1.13 multiply( Y, multiply( inverse( Y ), X ) ), Y ) ) ] )
% 0.72/1.13 , clause( 171, [ =( commutator( inverse( Y ), inverse( X ) ), commutator(
% 0.72/1.13 multiply( X, Y ), X ) ) ] )
% 0.72/1.13 , 0, clause( 874, [ =( commutator( inverse( Y ), X ), commutator( inverse(
% 0.72/1.13 multiply( X, Y ) ), X ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( inverse( Y ), X ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 884, [ =( commutator( Y, inverse( X ) ), commutator( multiply( Y,
% 0.72/1.13 multiply( inverse( Y ), X ) ), Y ) ) ] )
% 0.72/1.13 , clause( 195, [ =( commutator( X, inverse( Y ) ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 882, [ =( commutator( inverse( X ), inverse( Y ) ), commutator(
% 0.72/1.13 multiply( Y, multiply( inverse( Y ), X ) ), Y ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 886, [ =( commutator( Y, X ), commutator( multiply( X, multiply(
% 0.72/1.13 inverse( X ), Y ) ), X ) ) ] )
% 0.72/1.13 , clause( 195, [ =( commutator( X, inverse( Y ) ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 884, [ =( commutator( Y, inverse( X ) ), commutator( multiply(
% 0.72/1.13 Y, multiply( inverse( Y ), X ) ), Y ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 887, [ =( commutator( X, Y ), commutator( Y, inverse( multiply(
% 0.72/1.13 inverse( Y ), X ) ) ) ) ] )
% 0.72/1.13 , clause( 172, [ =( commutator( multiply( Y, X ), Y ), commutator( Y,
% 0.72/1.13 inverse( X ) ) ) ] )
% 0.72/1.13 , 0, clause( 886, [ =( commutator( Y, X ), commutator( multiply( X,
% 0.72/1.13 multiply( inverse( X ), Y ) ), X ) ) ] )
% 0.72/1.13 , 0, 4, substitution( 0, [ :=( X, multiply( inverse( Y ), X ) ), :=( Y, Y )] )
% 0.72/1.13 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 888, [ =( commutator( X, Y ), commutator( multiply( inverse( Y ), X
% 0.72/1.13 ), Y ) ) ] )
% 0.72/1.13 , clause( 195, [ =( commutator( X, inverse( Y ) ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 887, [ =( commutator( X, Y ), commutator( Y, inverse( multiply(
% 0.72/1.13 inverse( Y ), X ) ) ) ) ] )
% 0.72/1.13 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, multiply( inverse( Y ), X ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 889, [ =( commutator( X, Y ), commutator( inverse( Y ), X ) ) ] )
% 0.72/1.13 , clause( 119, [ =( commutator( multiply( inverse( X ), Y ), X ),
% 0.72/1.13 commutator( inverse( X ), Y ) ) ] )
% 0.72/1.13 , 0, clause( 888, [ =( commutator( X, Y ), commutator( multiply( inverse( Y
% 0.72/1.13 ), X ), Y ) ) ] )
% 0.72/1.13 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 890, [ =( commutator( inverse( Y ), X ), commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 889, [ =( commutator( X, Y ), commutator( inverse( Y ), X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 196, [ =( commutator( inverse( X ), Y ), commutator( Y, X ) ) ] )
% 0.72/1.13 , clause( 890, [ =( commutator( inverse( Y ), X ), commutator( X, Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 892, [ =( commutator( X, Y ), commutator( multiply( commutator( X,
% 0.72/1.13 Y ), Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 104, [ =( commutator( multiply( commutator( X, Y ), Y ), inverse(
% 0.72/1.13 X ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 897, [ =( commutator( inverse( X ), Y ), commutator( multiply(
% 0.72/1.13 commutator( Y, X ), Y ), inverse( inverse( X ) ) ) ) ] )
% 0.72/1.13 , clause( 196, [ =( commutator( inverse( X ), Y ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 892, [ =( commutator( X, Y ), commutator( multiply( commutator(
% 0.72/1.13 X, Y ), Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, inverse( X ) ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 899, [ =( commutator( inverse( X ), Y ), commutator( inverse( X ),
% 0.72/1.13 multiply( commutator( Y, X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 195, [ =( commutator( X, inverse( Y ) ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 897, [ =( commutator( inverse( X ), Y ), commutator( multiply(
% 0.72/1.13 commutator( Y, X ), Y ), inverse( inverse( X ) ) ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, multiply( commutator( Y, X ), Y ) ), :=(
% 0.72/1.13 Y, inverse( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 901, [ =( commutator( inverse( X ), Y ), commutator( multiply(
% 0.72/1.13 commutator( Y, X ), Y ), X ) ) ] )
% 0.72/1.13 , clause( 196, [ =( commutator( inverse( X ), Y ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 899, [ =( commutator( inverse( X ), Y ), commutator( inverse(
% 0.72/1.13 X ), multiply( commutator( Y, X ), Y ) ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, multiply( commutator( Y, X )
% 0.72/1.13 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 902, [ =( commutator( Y, X ), commutator( multiply( commutator( Y,
% 0.72/1.13 X ), Y ), X ) ) ] )
% 0.72/1.13 , clause( 196, [ =( commutator( inverse( X ), Y ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 901, [ =( commutator( inverse( X ), Y ), commutator( multiply(
% 0.72/1.13 commutator( Y, X ), Y ), X ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 904, [ =( commutator( multiply( commutator( X, Y ), X ), Y ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 902, [ =( commutator( Y, X ), commutator( multiply( commutator( Y
% 0.72/1.13 , X ), Y ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 206, [ =( commutator( multiply( commutator( Y, X ), Y ), X ),
% 0.72/1.13 commutator( Y, X ) ) ] )
% 0.72/1.13 , clause( 904, [ =( commutator( multiply( commutator( X, Y ), X ), Y ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 907, [ =( commutator( X, Y ), commutator( multiply( commutator( X,
% 0.72/1.13 Y ), X ), Y ) ) ] )
% 0.72/1.13 , clause( 206, [ =( commutator( multiply( commutator( Y, X ), Y ), X ),
% 0.72/1.13 commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 912, [ =( commutator( inverse( X ), Y ), commutator( multiply(
% 0.72/1.13 commutator( Y, X ), inverse( X ) ), Y ) ) ] )
% 0.72/1.13 , clause( 196, [ =( commutator( inverse( X ), Y ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 907, [ =( commutator( X, Y ), commutator( multiply( commutator(
% 0.72/1.13 X, Y ), X ), Y ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, inverse( X ) ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 914, [ =( commutator( inverse( X ), Y ), commutator( inverse(
% 0.72/1.13 multiply( X, commutator( X, Y ) ) ), Y ) ) ] )
% 0.72/1.13 , clause( 82, [ =( multiply( commutator( X, Y ), inverse( Z ) ), inverse(
% 0.72/1.13 multiply( Z, commutator( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 912, [ =( commutator( inverse( X ), Y ), commutator( multiply(
% 0.72/1.13 commutator( Y, X ), inverse( X ) ), Y ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 916, [ =( commutator( inverse( X ), Y ), commutator( Y, multiply( X
% 0.72/1.13 , commutator( X, Y ) ) ) ) ] )
% 0.72/1.13 , clause( 196, [ =( commutator( inverse( X ), Y ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 914, [ =( commutator( inverse( X ), Y ), commutator( inverse(
% 0.72/1.13 multiply( X, commutator( X, Y ) ) ), Y ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, multiply( X, commutator( X, Y ) ) ), :=(
% 0.72/1.13 Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 917, [ =( commutator( Y, X ), commutator( Y, multiply( X,
% 0.72/1.13 commutator( X, Y ) ) ) ) ] )
% 0.72/1.13 , clause( 196, [ =( commutator( inverse( X ), Y ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 916, [ =( commutator( inverse( X ), Y ), commutator( Y,
% 0.72/1.13 multiply( X, commutator( X, Y ) ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 919, [ =( commutator( X, multiply( Y, commutator( Y, X ) ) ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 917, [ =( commutator( Y, X ), commutator( Y, multiply( X,
% 0.72/1.13 commutator( X, Y ) ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 234, [ =( commutator( Y, multiply( X, commutator( X, Y ) ) ),
% 0.72/1.13 commutator( Y, X ) ) ] )
% 0.72/1.13 , clause( 919, [ =( commutator( X, multiply( Y, commutator( Y, X ) ) ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 922, [ =( commutator( X, Y ), commutator( multiply( commutator( X,
% 0.72/1.13 Y ), X ), Y ) ) ] )
% 0.72/1.13 , clause( 206, [ =( commutator( multiply( commutator( Y, X ), Y ), X ),
% 0.72/1.13 commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 934, [ =( commutator( multiply( commutator( X, Y ), Y ), inverse( X
% 0.72/1.13 ) ), commutator( multiply( commutator( X, Y ), multiply( commutator( X,
% 0.72/1.13 Y ), Y ) ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 104, [ =( commutator( multiply( commutator( X, Y ), Y ), inverse(
% 0.72/1.13 X ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 922, [ =( commutator( X, Y ), commutator( multiply( commutator(
% 0.72/1.13 X, Y ), X ), Y ) ) ] )
% 0.72/1.13 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( commutator( X, Y ), Y ) ), :=( Y, inverse( X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 935, [ =( commutator( X, Y ), commutator( multiply( commutator( X,
% 0.72/1.13 Y ), multiply( commutator( X, Y ), Y ) ), inverse( X ) ) ) ] )
% 0.72/1.13 , clause( 104, [ =( commutator( multiply( commutator( X, Y ), Y ), inverse(
% 0.72/1.13 X ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 934, [ =( commutator( multiply( commutator( X, Y ), Y ),
% 0.72/1.13 inverse( X ) ), commutator( multiply( commutator( X, Y ), multiply(
% 0.72/1.13 commutator( X, Y ), Y ) ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 951, [ =( commutator( X, Y ), commutator( X, multiply( commutator(
% 0.72/1.13 X, Y ), multiply( commutator( X, Y ), Y ) ) ) ) ] )
% 0.72/1.13 , clause( 195, [ =( commutator( X, inverse( Y ) ), commutator( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 935, [ =( commutator( X, Y ), commutator( multiply( commutator(
% 0.72/1.13 X, Y ), multiply( commutator( X, Y ), Y ) ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, 4, substitution( 0, [ :=( X, multiply( commutator( X, Y ), multiply(
% 0.72/1.13 commutator( X, Y ), Y ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )
% 0.72/1.13 , :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 952, [ =( commutator( X, Y ), commutator( X, multiply( multiply(
% 0.72/1.13 commutator( X, Y ), commutator( X, Y ) ), Y ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 951, [ =( commutator( X, Y ), commutator( X, multiply(
% 0.72/1.13 commutator( X, Y ), multiply( commutator( X, Y ), Y ) ) ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, commutator( X, Y ) ), :=( Y, commutator(
% 0.72/1.13 X, Y ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 953, [ =( commutator( X, Y ), commutator( X, multiply( inverse(
% 0.72/1.13 commutator( X, Y ) ), Y ) ) ) ] )
% 0.72/1.13 , clause( 15, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.72/1.13 , 0, clause( 952, [ =( commutator( X, Y ), commutator( X, multiply(
% 0.72/1.13 multiply( commutator( X, Y ), commutator( X, Y ) ), Y ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, commutator( X, Y ) )] ), substitution( 1
% 0.72/1.13 , [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 954, [ =( commutator( X, Y ), commutator( X, multiply( commutator(
% 0.72/1.13 Y, X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 953, [ =( commutator( X, Y ), commutator( X, multiply( inverse(
% 0.72/1.13 commutator( X, Y ) ), Y ) ) ) ] )
% 0.72/1.13 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 955, [ =( commutator( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 954, [ =( commutator( X, Y ), commutator( X, multiply( commutator(
% 0.72/1.13 Y, X ), Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 237, [ =( commutator( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , clause( 955, [ =( commutator( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 957, [ =( multiply( X, Y ), multiply( multiply( commutator( X, Y )
% 0.72/1.13 , Y ), X ) ) ] )
% 0.72/1.13 , clause( 98, [ =( multiply( multiply( commutator( X, Y ), Y ), X ),
% 0.72/1.13 multiply( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 962, [ =( multiply( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 multiply( multiply( commutator( X, Y ), multiply( commutator( Y, X ), Y )
% 0.72/1.13 ), X ) ) ] )
% 0.72/1.13 , clause( 237, [ =( commutator( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 957, [ =( multiply( X, Y ), multiply( multiply( commutator( X
% 0.72/1.13 , Y ), Y ), X ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, multiply( commutator( Y, X ), Y ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 964, [ =( multiply( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 multiply( multiply( multiply( commutator( X, Y ), commutator( Y, X ) ), Y
% 0.72/1.13 ), X ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 962, [ =( multiply( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 multiply( multiply( commutator( X, Y ), multiply( commutator( Y, X ), Y )
% 0.72/1.13 ), X ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, commutator( X, Y ) ), :=( Y, commutator(
% 0.72/1.13 Y, X ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 966, [ =( multiply( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 multiply( multiply( identity, Y ), X ) ) ] )
% 0.72/1.13 , clause( 85, [ =( multiply( commutator( Y, X ), commutator( X, Y ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , 0, clause( 964, [ =( multiply( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 multiply( multiply( multiply( commutator( X, Y ), commutator( Y, X ) ), Y
% 0.72/1.13 ), X ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 967, [ =( multiply( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.13 , 0, clause( 966, [ =( multiply( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 multiply( multiply( identity, Y ), X ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 968, [ =( multiply( multiply( X, commutator( Y, X ) ), Y ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 967, [ =( multiply( X, multiply( commutator( Y, X ), Y ) ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, commutator( Y, X ) ), :=( Z,
% 0.72/1.13 Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 281, [ =( multiply( multiply( X, commutator( Y, X ) ), Y ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , clause( 968, [ =( multiply( multiply( X, commutator( Y, X ) ), Y ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 971, [ =( multiply( Y, X ), multiply( multiply( X, commutator( Y, X
% 0.72/1.13 ) ), Y ) ) ] )
% 0.72/1.13 , clause( 281, [ =( multiply( multiply( X, commutator( Y, X ) ), Y ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 974, [ =( multiply( X, multiply( Y, commutator( Y, X ) ) ),
% 0.72/1.13 multiply( multiply( multiply( Y, commutator( Y, X ) ), commutator( X, Y )
% 0.72/1.13 ), X ) ) ] )
% 0.72/1.13 , clause( 234, [ =( commutator( Y, multiply( X, commutator( X, Y ) ) ),
% 0.72/1.13 commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 971, [ =( multiply( Y, X ), multiply( multiply( X, commutator(
% 0.72/1.13 Y, X ) ), Y ) ) ] )
% 0.72/1.13 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( Y, commutator( Y, X ) ) ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 975, [ =( multiply( X, multiply( Y, commutator( Y, X ) ) ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , clause( 83, [ =( multiply( multiply( Z, commutator( Y, X ) ), commutator(
% 0.72/1.13 X, Y ) ), Z ) ] )
% 0.72/1.13 , 0, clause( 974, [ =( multiply( X, multiply( Y, commutator( Y, X ) ) ),
% 0.72/1.13 multiply( multiply( multiply( Y, commutator( Y, X ) ), commutator( X, Y )
% 0.72/1.13 ), X ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 976, [ =( multiply( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 975, [ =( multiply( X, multiply( Y, commutator( Y, X ) ) ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, commutator( Y, X
% 0.72/1.13 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 286, [ =( multiply( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , clause( 976, [ =( multiply( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 979, [ =( commutator( X, Y ), commutator( X, multiply( X, Y ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 177, [ =( commutator( X, multiply( X, Y ) ), commutator( X, Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 982, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 commutator( multiply( X, Y ), multiply( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 286, [ =( multiply( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 979, [ =( commutator( X, Y ), commutator( X, multiply( X, Y )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( X, Y ) ), :=( Y, commutator( Y, X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 308, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 commutator( multiply( X, Y ), multiply( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 982, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 commutator( multiply( X, Y ), multiply( Y, X ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 985, [ =( commutator( X, Y ), multiply( multiply( multiply( X, Y )
% 0.72/1.13 , inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , clause( 5, [ =( multiply( multiply( multiply( X, Y ), inverse( X ) ),
% 0.72/1.13 inverse( Y ) ), commutator( X, Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 993, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( multiply( multiply( Y, X ), inverse( multiply( X, Y ) ) ),
% 0.72/1.13 inverse( commutator( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 286, [ =( multiply( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 985, [ =( commutator( X, Y ), multiply( multiply( multiply( X
% 0.72/1.13 , Y ), inverse( X ) ), inverse( Y ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( X, Y ) ), :=( Y, commutator( Y, X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 994, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( multiply( Y, X ), inverse( multiply( commutator( Y, X ),
% 0.72/1.13 multiply( X, Y ) ) ) ) ) ] )
% 0.72/1.13 , clause( 45, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 0.72/1.13 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 993, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( multiply( multiply( Y, X ), inverse( multiply( X, Y ) ) ),
% 0.72/1.13 inverse( commutator( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, commutator( Y
% 0.72/1.13 , X ) ), :=( Z, multiply( Y, X ) )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 995, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( multiply( Y, X ), inverse( multiply( multiply( commutator( Y, X
% 0.72/1.13 ), X ), Y ) ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 994, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( multiply( Y, X ), inverse( multiply( commutator( Y, X ),
% 0.72/1.13 multiply( X, Y ) ) ) ) ) ] )
% 0.72/1.13 , 0, 13, substitution( 0, [ :=( X, commutator( Y, X ) ), :=( Y, X ), :=( Z
% 0.72/1.13 , Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 996, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( multiply( Y, X ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 98, [ =( multiply( multiply( commutator( X, Y ), Y ), X ),
% 0.72/1.13 multiply( X, Y ) ) ] )
% 0.72/1.13 , 0, clause( 995, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( multiply( Y, X ), inverse( multiply( multiply( commutator( Y, X
% 0.72/1.13 ), X ), Y ) ) ) ) ] )
% 0.72/1.13 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 997, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.13 , 0, clause( 996, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 multiply( multiply( Y, X ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 998, [ =( commutator( multiply( X, Y ), multiply( Y, X ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , clause( 308, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 commutator( multiply( X, Y ), multiply( Y, X ) ) ) ] )
% 0.72/1.13 , 0, clause( 997, [ =( commutator( multiply( X, Y ), commutator( Y, X ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 324, [ =( commutator( multiply( X, Y ), multiply( Y, X ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , clause( 998, [ =( commutator( multiply( X, Y ), multiply( Y, X ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1000, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.13 commutator( X, Y ), Y ) ) ] )
% 0.72/1.13 , clause( 21, [ =( multiply( commutator( X, Y ), Y ), multiply( multiply( X
% 0.72/1.13 , Y ), inverse( X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1001, [ =( identity, commutator( multiply( X, Y ), multiply( Y, X )
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , clause( 324, [ =( commutator( multiply( X, Y ), multiply( Y, X ) ),
% 0.72/1.13 identity ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1007, [ =( identity, commutator( multiply( commutator( X, Y ), Y )
% 0.72/1.13 , multiply( inverse( X ), multiply( X, Y ) ) ) ) ] )
% 0.72/1.13 , clause( 1000, [ =( multiply( multiply( X, Y ), inverse( X ) ), multiply(
% 0.72/1.13 commutator( X, Y ), Y ) ) ] )
% 0.72/1.13 , 0, clause( 1001, [ =( identity, commutator( multiply( X, Y ), multiply( Y
% 0.72/1.13 , X ) ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1012, [ =( identity, commutator( multiply( commutator( X, Y ), Y )
% 0.72/1.13 , multiply( multiply( inverse( X ), X ), Y ) ) ) ] )
% 0.72/1.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , 0, clause( 1007, [ =( identity, commutator( multiply( commutator( X, Y )
% 0.72/1.13 , Y ), multiply( inverse( X ), multiply( X, Y ) ) ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, Y )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1013, [ =( identity, commutator( multiply( commutator( X, Y ), Y )
% 0.72/1.13 , multiply( identity, Y ) ) ) ] )
% 0.72/1.13 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.13 , 0, clause( 1012, [ =( identity, commutator( multiply( commutator( X, Y )
% 0.72/1.13 , Y ), multiply( multiply( inverse( X ), X ), Y ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1014, [ =( identity, commutator( multiply( commutator( X, Y ), Y )
% 0.72/1.13 , Y ) ) ] )
% 0.72/1.13 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.13 , 0, clause( 1013, [ =( identity, commutator( multiply( commutator( X, Y )
% 0.72/1.13 , Y ), multiply( identity, Y ) ) ) ] )
% 0.72/1.13 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.13 :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1015, [ =( identity, inverse( commutator( Y, commutator( X, Y ) ) )
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 51, [ =( commutator( multiply( Y, X ), X ), inverse( commutator(
% 0.72/1.13 X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 1014, [ =( identity, commutator( multiply( commutator( X, Y )
% 0.72/1.13 , Y ), Y ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, commutator( X, Y ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 1016, [ =( identity, commutator( commutator( Y, X ), X ) ) ] )
% 0.72/1.13 , clause( 70, [ =( inverse( commutator( X, Y ) ), commutator( Y, X ) ) ] )
% 0.72/1.13 , 0, clause( 1015, [ =( identity, inverse( commutator( Y, commutator( X, Y
% 0.72/1.13 ) ) ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, commutator( Y, X ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1017, [ =( commutator( commutator( X, Y ), Y ), identity ) ] )
% 0.72/1.13 , clause( 1016, [ =( identity, commutator( commutator( Y, X ), X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 338, [ =( commutator( commutator( X, Y ), Y ), identity ) ] )
% 0.72/1.13 , clause( 1017, [ =( commutator( commutator( X, Y ), Y ), identity ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1018, [ =( identity, commutator( commutator( X, Y ), Y ) ) ] )
% 0.72/1.13 , clause( 338, [ =( commutator( commutator( X, Y ), Y ), identity ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 1019, [ ~( =( identity, commutator( commutator( a, b ), b ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 7, [ ~( =( commutator( commutator( a, b ), b ), identity ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 1020, [] )
% 0.72/1.13 , clause( 1019, [ ~( =( identity, commutator( commutator( a, b ), b ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 1018, [ =( identity, commutator( commutator( X, Y ), Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 359, [] )
% 0.72/1.13 , clause( 1020, [] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 end.
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 4747
% 0.72/1.13 space for clauses: 42337
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 2709
% 0.72/1.13 clauses kept: 360
% 0.72/1.13 clauses selected: 68
% 0.72/1.13 clauses deleted: 24
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 1634
% 0.72/1.13 literals s-matched: 586
% 0.72/1.13 literals matched: 577
% 0.72/1.13 full subsumption: 0
% 0.72/1.13
% 0.72/1.13 checksum: 119512757
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------