TSTP Solution File: GRP002-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 07:16:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09 [
% 0.71/1.09 [ =( multiply( identity, X ), X ) ],
% 0.71/1.09 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.71/1.09 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.71/1.09 ],
% 0.71/1.09 [ =( multiply( X, identity ), X ) ],
% 0.71/1.09 [ =( multiply( X, inverse( X ) ), identity ) ],
% 0.71/1.09 [ =( multiply( X, multiply( X, X ) ), identity ) ],
% 0.71/1.09 [ =( multiply( a, b ), c ) ],
% 0.71/1.09 [ =( multiply( c, inverse( a ) ), d ) ],
% 0.71/1.09 [ =( multiply( d, inverse( b ) ), h ) ],
% 0.71/1.09 [ =( multiply( h, b ), j ) ],
% 0.71/1.09 [ =( multiply( j, inverse( h ) ), k ) ],
% 0.71/1.09 [ ~( =( multiply( k, inverse( b ) ), identity ) ) ]
% 0.71/1.09 ] .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.09 This is a pure equality problem
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Options Used:
% 0.71/1.09
% 0.71/1.09 useres = 1
% 0.71/1.09 useparamod = 1
% 0.71/1.09 useeqrefl = 1
% 0.71/1.09 useeqfact = 1
% 0.71/1.09 usefactor = 1
% 0.71/1.09 usesimpsplitting = 0
% 0.71/1.09 usesimpdemod = 5
% 0.71/1.09 usesimpres = 3
% 0.71/1.09
% 0.71/1.09 resimpinuse = 1000
% 0.71/1.09 resimpclauses = 20000
% 0.71/1.09 substype = eqrewr
% 0.71/1.09 backwardsubs = 1
% 0.71/1.09 selectoldest = 5
% 0.71/1.09
% 0.71/1.09 litorderings [0] = split
% 0.71/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.09
% 0.71/1.09 termordering = kbo
% 0.71/1.09
% 0.71/1.09 litapriori = 0
% 0.71/1.09 termapriori = 1
% 0.71/1.09 litaposteriori = 0
% 0.71/1.09 termaposteriori = 0
% 0.71/1.09 demodaposteriori = 0
% 0.71/1.09 ordereqreflfact = 0
% 0.71/1.09
% 0.71/1.09 litselect = negord
% 0.71/1.09
% 0.71/1.09 maxweight = 15
% 0.71/1.09 maxdepth = 30000
% 0.71/1.09 maxlength = 115
% 0.71/1.09 maxnrvars = 195
% 0.71/1.09 excuselevel = 1
% 0.71/1.09 increasemaxweight = 1
% 0.71/1.09
% 0.71/1.09 maxselected = 10000000
% 0.71/1.09 maxnrclauses = 10000000
% 0.71/1.09
% 0.71/1.09 showgenerated = 0
% 0.71/1.09 showkept = 0
% 0.71/1.09 showselected = 0
% 0.71/1.09 showdeleted = 0
% 0.71/1.09 showresimp = 1
% 0.71/1.09 showstatus = 2000
% 0.71/1.09
% 0.71/1.09 prologoutput = 1
% 0.71/1.09 nrgoals = 5000000
% 0.71/1.09 totalproof = 1
% 0.71/1.09
% 0.71/1.09 Symbols occurring in the translation:
% 0.71/1.09
% 0.71/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.09 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.09 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.71/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 identity [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.09 multiply [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.71/1.09 inverse [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.71/1.09 a [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.09 b [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.09 c [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.71/1.09 d [48, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.71/1.09 h [49, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.09 j [50, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.09 k [51, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Starting Search:
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksems!, er is een bewijs:
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09 % SZS output start Refutation
% 0.71/1.09
% 0.71/1.09 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.71/1.09 , Z ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 5, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 6, [ =( multiply( a, b ), c ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 7, [ =( multiply( c, inverse( a ) ), d ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 8, [ =( multiply( d, inverse( b ) ), h ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 9, [ =( multiply( h, b ), j ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 10, [ =( multiply( j, inverse( h ) ), k ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 11, [ ~( =( multiply( k, inverse( b ) ), identity ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 13, [ =( multiply( multiply( X, d ), inverse( b ) ), multiply( X, h
% 0.71/1.09 ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 15, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.71/1.09 , identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 16, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 18, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 19, [ =( multiply( multiply( X, h ), b ), multiply( X, j ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 20, [ =( multiply( multiply( X, c ), inverse( a ) ), multiply( X, d
% 0.71/1.09 ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 23, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 24, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 25, [ =( multiply( d, a ), c ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 26, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( Y, Z ) ) ), X ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 27, [ =( j, d ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 28, [ =( multiply( k, h ), d ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 29, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 32, [ =( multiply( inverse( d ), h ), inverse( b ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 33, [ =( multiply( multiply( X, d ), a ), multiply( X, c ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 36, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.71/1.09 multiply( X, Y ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 37, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X )
% 0.71/1.09 ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 41, [ =( multiply( multiply( X, inverse( d ) ), h ), multiply( X,
% 0.71/1.09 inverse( b ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 44, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 54, [ =( multiply( inverse( a ), c ), b ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 56, [ =( multiply( d, c ), multiply( c, b ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 57, [ =( multiply( b, inverse( c ) ), inverse( a ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 62, [ =( multiply( multiply( X, h ), b ), multiply( X, d ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 72, [ =( multiply( multiply( c, b ), inverse( a ) ), inverse( d ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 75, [ =( multiply( inverse( c ), d ), inverse( a ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 78, [ =( multiply( inverse( a ), inverse( d ) ), inverse( c ) ) ]
% 0.71/1.09 )
% 0.71/1.09 .
% 0.71/1.09 clause( 84, [ =( multiply( k, d ), multiply( d, b ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 90, [ =( multiply( multiply( d, b ), a ), multiply( k, c ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 139, [ =( multiply( multiply( X, Z ), inverse( multiply( Y, Z ) ) )
% 0.71/1.09 , multiply( X, inverse( Y ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 162, [ =( multiply( multiply( b, c ), a ), inverse( multiply( b, a
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 173, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.71/1.09 X, Y ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 181, [ =( multiply( inverse( c ), a ), inverse( b ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 190, [ =( multiply( multiply( X, inverse( c ) ), a ), multiply( X,
% 0.71/1.09 inverse( b ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 203, [ =( multiply( multiply( c, b ), a ), inverse( multiply( a, d
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 215, [ =( inverse( multiply( c, a ) ), multiply( b, c ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 236, [ =( inverse( multiply( b, c ) ), multiply( c, a ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 243, [ =( multiply( inverse( c ), h ), inverse( multiply( b, a ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 246, [ =( multiply( multiply( a, d ), h ), multiply( b, a ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 253, [ =( multiply( a, inverse( d ) ), multiply( b, c ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 262, [ =( inverse( multiply( k, c ) ), multiply( c, a ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 268, [] )
% 0.71/1.09 .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 initialclauses(
% 0.71/1.09 [ clause( 270, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.09 , clause( 271, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.09 , clause( 272, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.71/1.09 Y, Z ) ) ) ] )
% 0.71/1.09 , clause( 273, [ =( multiply( X, identity ), X ) ] )
% 0.71/1.09 , clause( 274, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , clause( 275, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 , clause( 276, [ =( multiply( a, b ), c ) ] )
% 0.71/1.09 , clause( 277, [ =( multiply( c, inverse( a ) ), d ) ] )
% 0.71/1.09 , clause( 278, [ =( multiply( d, inverse( b ) ), h ) ] )
% 0.71/1.09 , clause( 279, [ =( multiply( h, b ), j ) ] )
% 0.71/1.09 , clause( 280, [ =( multiply( j, inverse( h ) ), k ) ] )
% 0.71/1.09 , clause( 281, [ ~( =( multiply( k, inverse( b ) ), identity ) ) ] )
% 0.71/1.09 ] ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.09 , clause( 270, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.09 , clause( 271, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 287, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , clause( 272, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.71/1.09 Y, Z ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.71/1.09 , Z ) ) ] )
% 0.71/1.09 , clause( 287, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.71/1.09 , clause( 273, [ =( multiply( X, identity ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , clause( 274, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 311, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , 0, clause( 275, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 5, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.71/1.09 , clause( 311, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 6, [ =( multiply( a, b ), c ) ] )
% 0.71/1.09 , clause( 276, [ =( multiply( a, b ), c ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 7, [ =( multiply( c, inverse( a ) ), d ) ] )
% 0.71/1.09 , clause( 277, [ =( multiply( c, inverse( a ) ), d ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 8, [ =( multiply( d, inverse( b ) ), h ) ] )
% 0.71/1.09 , clause( 278, [ =( multiply( d, inverse( b ) ), h ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 9, [ =( multiply( h, b ), j ) ] )
% 0.71/1.09 , clause( 279, [ =( multiply( h, b ), j ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 10, [ =( multiply( j, inverse( h ) ), k ) ] )
% 0.71/1.09 , clause( 280, [ =( multiply( j, inverse( h ) ), k ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 11, [ ~( =( multiply( k, inverse( b ) ), identity ) ) ] )
% 0.71/1.09 , clause( 281, [ ~( =( multiply( k, inverse( b ) ), identity ) ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 371, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.09 , Z ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 373, [ =( multiply( multiply( X, d ), inverse( b ) ), multiply( X,
% 0.71/1.09 h ) ) ] )
% 0.71/1.09 , clause( 8, [ =( multiply( d, inverse( b ) ), h ) ] )
% 0.71/1.09 , 0, clause( 371, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.09 multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, d ),
% 0.71/1.09 :=( Z, inverse( b ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 13, [ =( multiply( multiply( X, d ), inverse( b ) ), multiply( X, h
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , clause( 373, [ =( multiply( multiply( X, d ), inverse( b ) ), multiply( X
% 0.71/1.09 , h ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 376, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.09 , Z ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 379, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.71/1.09 , identity ) ] )
% 0.71/1.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.09 , 0, clause( 376, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.09 multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.71/1.09 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 15, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.71/1.09 , identity ) ] )
% 0.71/1.09 , clause( 379, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.71/1.09 ), identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 385, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.09 , Z ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 390, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X,
% 0.71/1.09 identity ) ) ] )
% 0.71/1.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.71/1.09 , 0, clause( 385, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.09 multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 391, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.71/1.09 , clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.71/1.09 , 0, clause( 390, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.71/1.09 X, identity ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 16, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.71/1.09 , clause( 391, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 394, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.09 , Z ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 398, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X,
% 0.71/1.09 identity ) ) ] )
% 0.71/1.09 , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 394, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.09 multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 399, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.71/1.09 , clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.71/1.09 , 0, clause( 398, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 0.71/1.09 X, identity ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 , clause( 399, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 402, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.09 , Z ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 404, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( a, b ), c ) ] )
% 0.71/1.09 , 0, clause( 402, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.09 multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, a ),
% 0.71/1.09 :=( Z, b )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 18, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.71/1.09 , clause( 404, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 408, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.09 , Z ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 410, [ =( multiply( multiply( X, h ), b ), multiply( X, j ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( h, b ), j ) ] )
% 0.71/1.09 , 0, clause( 408, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.09 multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, h ),
% 0.71/1.09 :=( Z, b )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 19, [ =( multiply( multiply( X, h ), b ), multiply( X, j ) ) ] )
% 0.71/1.09 , clause( 410, [ =( multiply( multiply( X, h ), b ), multiply( X, j ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 414, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.09 , Z ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 416, [ =( multiply( multiply( X, c ), inverse( a ) ), multiply( X,
% 0.71/1.09 d ) ) ] )
% 0.71/1.09 , clause( 7, [ =( multiply( c, inverse( a ) ), d ) ] )
% 0.71/1.09 , 0, clause( 414, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.09 multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, c ),
% 0.71/1.09 :=( Z, inverse( a ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 20, [ =( multiply( multiply( X, c ), inverse( a ) ), multiply( X, d
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , clause( 416, [ =( multiply( multiply( X, c ), inverse( a ) ), multiply( X
% 0.71/1.09 , d ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 419, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 422, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 419, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.09 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 423, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 422, [ =( multiply( X, Y ), multiply( X, inverse( inverse( Y ) )
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 23, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 423, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 425, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 427, [ =( multiply( X, X ), multiply( identity, inverse( X ) ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 5, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.71/1.09 , 0, clause( 425, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.71/1.09 multiply( X, X ) ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 428, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.09 , 0, clause( 427, [ =( multiply( X, X ), multiply( identity, inverse( X ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.71/1.09 :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 24, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.71/1.09 , clause( 428, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 431, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 433, [ =( c, multiply( d, inverse( inverse( a ) ) ) ) ] )
% 0.71/1.09 , clause( 7, [ =( multiply( c, inverse( a ) ), d ) ] )
% 0.71/1.09 , 0, clause( 431, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y,
% 0.71/1.09 inverse( a ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 434, [ =( c, multiply( d, a ) ) ] )
% 0.71/1.09 , clause( 23, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 433, [ =( c, multiply( d, inverse( inverse( a ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, d ), :=( Y, a )] ), substitution( 1, [] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 435, [ =( multiply( d, a ), c ) ] )
% 0.71/1.09 , clause( 434, [ =( c, multiply( d, a ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 25, [ =( multiply( d, a ), c ) ] )
% 0.71/1.09 , clause( 435, [ =( multiply( d, a ), c ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 437, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 444, [ =( X, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( Y, Z ) ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , 0, clause( 437, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 445, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( Y, Z ) ) ), X ) ] )
% 0.71/1.09 , clause( 444, [ =( X, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( Y, Z ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 26, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( Y, Z ) ) ), X ) ] )
% 0.71/1.09 , clause( 445, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( Y, Z ) ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 447, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 450, [ =( d, multiply( h, inverse( inverse( b ) ) ) ) ] )
% 0.71/1.09 , clause( 8, [ =( multiply( d, inverse( b ) ), h ) ] )
% 0.71/1.09 , 0, clause( 447, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y,
% 0.71/1.09 inverse( b ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 451, [ =( d, multiply( h, b ) ) ] )
% 0.71/1.09 , clause( 23, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 450, [ =( d, multiply( h, inverse( inverse( b ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, h ), :=( Y, b )] ), substitution( 1, [] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 452, [ =( d, j ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( h, b ), j ) ] )
% 0.71/1.09 , 0, clause( 451, [ =( d, multiply( h, b ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 453, [ =( j, d ) ] )
% 0.71/1.09 , clause( 452, [ =( d, j ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 27, [ =( j, d ) ] )
% 0.71/1.09 , clause( 453, [ =( j, d ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 455, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 458, [ =( j, multiply( k, inverse( inverse( h ) ) ) ) ] )
% 0.71/1.09 , clause( 10, [ =( multiply( j, inverse( h ) ), k ) ] )
% 0.71/1.09 , 0, clause( 455, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, j ), :=( Y,
% 0.71/1.09 inverse( h ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 459, [ =( j, multiply( k, h ) ) ] )
% 0.71/1.09 , clause( 23, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 458, [ =( j, multiply( k, inverse( inverse( h ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, k ), :=( Y, h )] ), substitution( 1, [] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 460, [ =( d, multiply( k, h ) ) ] )
% 0.71/1.09 , clause( 27, [ =( j, d ) ] )
% 0.71/1.09 , 0, clause( 459, [ =( j, multiply( k, h ) ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 461, [ =( multiply( k, h ), d ) ] )
% 0.71/1.09 , clause( 460, [ =( d, multiply( k, h ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 28, [ =( multiply( k, h ), d ) ] )
% 0.71/1.09 , clause( 461, [ =( multiply( k, h ), d ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 463, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 465, [ =( X, multiply( identity, inverse( inverse( X ) ) ) ) ] )
% 0.71/1.09 , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 463, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, inverse( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 466, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.09 , 0, clause( 465, [ =( X, multiply( identity, inverse( inverse( X ) ) ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 467, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.09 , clause( 466, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 29, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.09 , clause( 467, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 469, [ =( multiply( X, h ), multiply( multiply( X, d ), inverse( b
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , clause( 13, [ =( multiply( multiply( X, d ), inverse( b ) ), multiply( X
% 0.71/1.09 , h ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 473, [ =( multiply( multiply( d, d ), h ), multiply( identity,
% 0.71/1.09 inverse( b ) ) ) ] )
% 0.71/1.09 , clause( 5, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.71/1.09 , 0, clause( 469, [ =( multiply( X, h ), multiply( multiply( X, d ),
% 0.71/1.09 inverse( b ) ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, d )] ), substitution( 1, [ :=( X,
% 0.71/1.09 multiply( d, d ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 474, [ =( multiply( multiply( d, d ), h ), inverse( b ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.09 , 0, clause( 473, [ =( multiply( multiply( d, d ), h ), multiply( identity
% 0.71/1.09 , inverse( b ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, inverse( b ) )] ), substitution( 1, [] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 475, [ =( multiply( inverse( d ), h ), inverse( b ) ) ] )
% 0.71/1.09 , clause( 24, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.71/1.09 , 0, clause( 474, [ =( multiply( multiply( d, d ), h ), inverse( b ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 32, [ =( multiply( inverse( d ), h ), inverse( b ) ) ] )
% 0.71/1.09 , clause( 475, [ =( multiply( inverse( d ), h ), inverse( b ) ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 478, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.10 , Z ) ) ) ] )
% 0.71/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.10 ), Z ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 480, [ =( multiply( multiply( X, d ), a ), multiply( X, c ) ) ] )
% 0.71/1.10 , clause( 25, [ =( multiply( d, a ), c ) ] )
% 0.71/1.10 , 0, clause( 478, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.10 multiply( Y, Z ) ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, d ),
% 0.71/1.10 :=( Z, a )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 33, [ =( multiply( multiply( X, d ), a ), multiply( X, c ) ) ] )
% 0.71/1.10 , clause( 480, [ =( multiply( multiply( X, d ), a ), multiply( X, c ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 483, [ =( inverse( X ), multiply( X, X ) ) ] )
% 0.71/1.10 , clause( 24, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 485, [ =( inverse( multiply( X, Y ) ), multiply( multiply( multiply(
% 0.71/1.10 X, Y ), X ), Y ) ) ] )
% 0.71/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.10 ), Z ) ) ] )
% 0.71/1.10 , 0, clause( 483, [ =( inverse( X ), multiply( X, X ) ) ] )
% 0.71/1.10 , 0, 5, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, X ), :=( Z, Y
% 0.71/1.10 )] ), substitution( 1, [ :=( X, multiply( X, Y ) )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 486, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , clause( 485, [ =( inverse( multiply( X, Y ) ), multiply( multiply(
% 0.71/1.10 multiply( X, Y ), X ), Y ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 36, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , clause( 486, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.10 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 488, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.10 , Z ) ) ) ] )
% 0.71/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.10 ), Z ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 494, [ =( multiply( multiply( X, Y ), Y ), multiply( X, inverse( Y
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , clause( 24, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.71/1.10 , 0, clause( 488, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.10 multiply( Y, Z ) ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.10 :=( Y, Y ), :=( Z, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 37, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X )
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , clause( 494, [ =( multiply( multiply( X, Y ), Y ), multiply( X, inverse(
% 0.71/1.10 Y ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.10 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 500, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.10 , Z ) ) ) ] )
% 0.71/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.10 ), Z ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 502, [ =( multiply( multiply( X, inverse( d ) ), h ), multiply( X,
% 0.71/1.10 inverse( b ) ) ) ] )
% 0.71/1.10 , clause( 32, [ =( multiply( inverse( d ), h ), inverse( b ) ) ] )
% 0.71/1.10 , 0, clause( 500, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.10 multiply( Y, Z ) ) ) ] )
% 0.71/1.10 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.71/1.10 inverse( d ) ), :=( Z, h )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 41, [ =( multiply( multiply( X, inverse( d ) ), h ), multiply( X,
% 0.71/1.10 inverse( b ) ) ) ] )
% 0.71/1.10 , clause( 502, [ =( multiply( multiply( X, inverse( d ) ), h ), multiply( X
% 0.71/1.10 , inverse( b ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 506, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.10 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 511, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 0.71/1.10 identity, inverse( Y ) ) ) ] )
% 0.71/1.10 , clause( 15, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.71/1.10 ), identity ) ] )
% 0.71/1.10 , 0, clause( 506, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.10 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 512, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.10 , 0, clause( 511, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 0.71/1.10 identity, inverse( Y ) ) ) ] )
% 0.71/1.10 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.71/1.10 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 44, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y ) )
% 0.71/1.10 ] )
% 0.71/1.10 , clause( 512, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.10 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 515, [ =( multiply( X, c ), multiply( multiply( X, a ), b ) ) ] )
% 0.71/1.10 , clause( 18, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 522, [ =( multiply( multiply( inverse( multiply( X, a ) ), X ), c )
% 0.71/1.10 , multiply( identity, b ) ) ] )
% 0.71/1.10 , clause( 15, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.71/1.10 ), identity ) ] )
% 0.71/1.10 , 0, clause( 515, [ =( multiply( X, c ), multiply( multiply( X, a ), b ) )
% 0.71/1.10 ] )
% 0.71/1.10 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, a )] ), substitution( 1, [
% 0.71/1.10 :=( X, multiply( inverse( multiply( X, a ) ), X ) )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 523, [ =( multiply( multiply( inverse( multiply( X, a ) ), X ), c )
% 0.71/1.10 , b ) ] )
% 0.71/1.10 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.10 , 0, clause( 522, [ =( multiply( multiply( inverse( multiply( X, a ) ), X )
% 0.71/1.10 , c ), multiply( identity, b ) ) ] )
% 0.71/1.10 , 0, 9, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 524, [ =( multiply( inverse( a ), c ), b ) ] )
% 0.71/1.10 , clause( 44, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.71/1.10 ) ] )
% 0.71/1.10 , 0, clause( 523, [ =( multiply( multiply( inverse( multiply( X, a ) ), X )
% 0.71/1.10 , c ), b ) ] )
% 0.71/1.10 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, a )] ), substitution( 1, [
% 0.71/1.10 :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 54, [ =( multiply( inverse( a ), c ), b ) ] )
% 0.71/1.10 , clause( 524, [ =( multiply( inverse( a ), c ), b ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 527, [ =( multiply( X, c ), multiply( multiply( X, a ), b ) ) ] )
% 0.71/1.10 , clause( 18, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 528, [ =( multiply( d, c ), multiply( c, b ) ) ] )
% 0.71/1.10 , clause( 25, [ =( multiply( d, a ), c ) ] )
% 0.71/1.10 , 0, clause( 527, [ =( multiply( X, c ), multiply( multiply( X, a ), b ) )
% 0.71/1.10 ] )
% 0.71/1.10 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, d )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 56, [ =( multiply( d, c ), multiply( c, b ) ) ] )
% 0.71/1.10 , clause( 528, [ =( multiply( d, c ), multiply( c, b ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 531, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.10 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 532, [ =( inverse( a ), multiply( b, inverse( c ) ) ) ] )
% 0.71/1.10 , clause( 54, [ =( multiply( inverse( a ), c ), b ) ] )
% 0.71/1.10 , 0, clause( 531, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.10 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( a ) ),
% 0.71/1.10 :=( Y, c )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 533, [ =( multiply( b, inverse( c ) ), inverse( a ) ) ] )
% 0.71/1.10 , clause( 532, [ =( inverse( a ), multiply( b, inverse( c ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 57, [ =( multiply( b, inverse( c ) ), inverse( a ) ) ] )
% 0.71/1.10 , clause( 533, [ =( multiply( b, inverse( c ) ), inverse( a ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 536, [ =( multiply( multiply( X, h ), b ), multiply( X, d ) ) ] )
% 0.71/1.10 , clause( 27, [ =( j, d ) ] )
% 0.71/1.10 , 0, clause( 19, [ =( multiply( multiply( X, h ), b ), multiply( X, j ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 62, [ =( multiply( multiply( X, h ), b ), multiply( X, d ) ) ] )
% 0.71/1.10 , clause( 536, [ =( multiply( multiply( X, h ), b ), multiply( X, d ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 539, [ =( multiply( X, d ), multiply( multiply( X, c ), inverse( a
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , clause( 20, [ =( multiply( multiply( X, c ), inverse( a ) ), multiply( X
% 0.71/1.10 , d ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 541, [ =( multiply( d, d ), multiply( multiply( c, b ), inverse( a
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , clause( 56, [ =( multiply( d, c ), multiply( c, b ) ) ] )
% 0.71/1.10 , 0, clause( 539, [ =( multiply( X, d ), multiply( multiply( X, c ),
% 0.71/1.10 inverse( a ) ) ) ] )
% 0.71/1.10 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, d )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 542, [ =( inverse( d ), multiply( multiply( c, b ), inverse( a ) )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 24, [ =( multiply( X, X ), inverse( X ) ) ] )
% 0.71/1.10 , 0, clause( 541, [ =( multiply( d, d ), multiply( multiply( c, b ),
% 0.71/1.10 inverse( a ) ) ) ] )
% 0.71/1.10 , 0, 1, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 543, [ =( multiply( multiply( c, b ), inverse( a ) ), inverse( d )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 542, [ =( inverse( d ), multiply( multiply( c, b ), inverse( a )
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 72, [ =( multiply( multiply( c, b ), inverse( a ) ), inverse( d ) )
% 0.71/1.10 ] )
% 0.71/1.10 , clause( 543, [ =( multiply( multiply( c, b ), inverse( a ) ), inverse( d
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 545, [ =( multiply( X, d ), multiply( multiply( X, c ), inverse( a
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , clause( 20, [ =( multiply( multiply( X, c ), inverse( a ) ), multiply( X
% 0.71/1.10 , d ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 552, [ =( multiply( multiply( inverse( multiply( X, c ) ), X ), d )
% 0.71/1.10 , multiply( identity, inverse( a ) ) ) ] )
% 0.71/1.10 , clause( 15, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.71/1.10 ), identity ) ] )
% 0.71/1.10 , 0, clause( 545, [ =( multiply( X, d ), multiply( multiply( X, c ),
% 0.71/1.10 inverse( a ) ) ) ] )
% 0.71/1.10 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, c )] ), substitution( 1, [
% 0.71/1.10 :=( X, multiply( inverse( multiply( X, c ) ), X ) )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 553, [ =( multiply( multiply( inverse( multiply( X, c ) ), X ), d )
% 0.71/1.10 , inverse( a ) ) ] )
% 0.71/1.10 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.71/1.10 , 0, clause( 552, [ =( multiply( multiply( inverse( multiply( X, c ) ), X )
% 0.71/1.10 , d ), multiply( identity, inverse( a ) ) ) ] )
% 0.71/1.10 , 0, 9, substitution( 0, [ :=( X, inverse( a ) )] ), substitution( 1, [
% 0.71/1.10 :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 554, [ =( multiply( inverse( c ), d ), inverse( a ) ) ] )
% 0.71/1.10 , clause( 44, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.71/1.10 ) ] )
% 0.71/1.10 , 0, clause( 553, [ =( multiply( multiply( inverse( multiply( X, c ) ), X )
% 0.71/1.10 , d ), inverse( a ) ) ] )
% 0.71/1.10 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, c )] ), substitution( 1, [
% 0.71/1.10 :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 75, [ =( multiply( inverse( c ), d ), inverse( a ) ) ] )
% 0.71/1.10 , clause( 554, [ =( multiply( inverse( c ), d ), inverse( a ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 557, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.10 , clause( 17, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 558, [ =( inverse( c ), multiply( inverse( a ), inverse( d ) ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , clause( 75, [ =( multiply( inverse( c ), d ), inverse( a ) ) ] )
% 0.71/1.10 , 0, clause( 557, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.71/1.10 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( c ) ),
% 0.71/1.10 :=( Y, d )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 559, [ =( multiply( inverse( a ), inverse( d ) ), inverse( c ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , clause( 558, [ =( inverse( c ), multiply( inverse( a ), inverse( d ) ) )
% 0.71/1.10 ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 78, [ =( multiply( inverse( a ), inverse( d ) ), inverse( c ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , clause( 559, [ =( multiply( inverse( a ), inverse( d ) ), inverse( c ) )
% 0.71/1.10 ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 561, [ =( multiply( X, d ), multiply( multiply( X, h ), b ) ) ] )
% 0.71/1.10 , clause( 62, [ =( multiply( multiply( X, h ), b ), multiply( X, d ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 562, [ =( multiply( k, d ), multiply( d, b ) ) ] )
% 0.71/1.10 , clause( 28, [ =( multiply( k, h ), d ) ] )
% 0.71/1.10 , 0, clause( 561, [ =( multiply( X, d ), multiply( multiply( X, h ), b ) )
% 0.71/1.10 ] )
% 0.71/1.10 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, k )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 84, [ =( multiply( k, d ), multiply( d, b ) ) ] )
% 0.71/1.10 , clause( 562, [ =( multiply( k, d ), multiply( d, b ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 565, [ =( multiply( X, c ), multiply( multiply( X, d ), a ) ) ] )
% 0.71/1.10 , clause( 33, [ =( multiply( multiply( X, d ), a ), multiply( X, c ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 566, [ =( multiply( k, c ), multiply( multiply( d, b ), a ) ) ] )
% 0.71/1.10 , clause( 84, [ =( multiply( k, d ), multiply( d, b ) ) ] )
% 0.71/1.10 , 0, clause( 565, [ =( multiply( X, c ), multiply( multiply( X, d ), a ) )
% 0.71/1.10 ] )
% 0.71/1.10 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, k )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 567, [ =( multiply( multiply( d, b ), a ), multiply( k, c ) ) ] )
% 0.71/1.10 , clause( 566, [ =( multiply( k, c ), multiply( multiply( d, b ), a ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 90, [ =( multiply( multiply( d, b ), a ), multiply( k, c ) ) ] )
% 0.71/1.10 , clause( 567, [ =( multiply( multiply( d, b ), a ), multiply( k, c ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 569, [ =( X, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.10 multiply( Y, Z ) ) ) ) ] )
% 0.71/1.10 , clause( 26, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.10 multiply( Y, Z ) ) ), X ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 573, [ =( multiply( X, inverse( Y ) ), multiply( multiply( X, Z ),
% 0.71/1.10 inverse( multiply( Y, Z ) ) ) ) ] )
% 0.71/1.10 , clause( 16, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 0.71/1.10 , 0, clause( 569, [ =( X, multiply( multiply( multiply( X, Y ), Z ),
% 0.71/1.10 inverse( multiply( Y, Z ) ) ) ) ] )
% 0.71/1.10 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.10 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 576, [ =( multiply( multiply( X, Z ), inverse( multiply( Y, Z ) ) )
% 0.71/1.10 , multiply( X, inverse( Y ) ) ) ] )
% 0.71/1.10 , clause( 573, [ =( multiply( X, inverse( Y ) ), multiply( multiply( X, Z )
% 0.71/1.10 , inverse( multiply( Y, Z ) ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 139, [ =( multiply( multiply( X, Z ), inverse( multiply( Y, Z ) ) )
% 0.71/1.10 , multiply( X, inverse( Y ) ) ) ] )
% 0.71/1.10 , clause( 576, [ =( multiply( multiply( X, Z ), inverse( multiply( Y, Z ) )
% 0.71/1.10 ), multiply( X, inverse( Y ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 579, [ =( inverse( multiply( X, Y ) ), multiply( multiply( multiply(
% 0.71/1.10 X, Y ), X ), Y ) ) ] )
% 0.71/1.10 , clause( 36, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 589, [ =( inverse( multiply( b, a ) ), multiply( multiply( b, c ),
% 0.71/1.10 a ) ) ] )
% 0.71/1.10 , clause( 18, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.71/1.10 , 0, clause( 579, [ =( inverse( multiply( X, Y ) ), multiply( multiply(
% 0.71/1.10 multiply( X, Y ), X ), Y ) ) ] )
% 0.71/1.10 , 0, 6, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, b ),
% 0.71/1.10 :=( Y, a )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 595, [ =( multiply( multiply( b, c ), a ), inverse( multiply( b, a
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , clause( 589, [ =( inverse( multiply( b, a ) ), multiply( multiply( b, c )
% 0.71/1.10 , a ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 162, [ =( multiply( multiply( b, c ), a ), inverse( multiply( b, a
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , clause( 595, [ =( multiply( multiply( b, c ), a ), inverse( multiply( b,
% 0.71/1.10 a ) ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 597, [ =( X, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.10 multiply( Y, Z ) ) ) ) ] )
% 0.71/1.10 , clause( 26, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.10 multiply( Y, Z ) ) ), X ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 600, [ =( inverse( multiply( X, Y ) ), multiply( multiply( inverse(
% 0.71/1.10 Y ), Z ), inverse( multiply( X, Z ) ) ) ) ] )
% 0.71/1.10 , clause( 44, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.71/1.10 ) ] )
% 0.71/1.10 , 0, clause( 597, [ =( X, multiply( multiply( multiply( X, Y ), Z ),
% 0.71/1.10 inverse( multiply( Y, Z ) ) ) ) ] )
% 0.71/1.10 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.10 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 602, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.71/1.10 inverse( X ) ) ) ] )
% 0.71/1.10 , clause( 139, [ =( multiply( multiply( X, Z ), inverse( multiply( Y, Z ) )
% 0.71/1.10 ), multiply( X, inverse( Y ) ) ) ] )
% 0.71/1.10 , 0, clause( 600, [ =( inverse( multiply( X, Y ) ), multiply( multiply(
% 0.71/1.10 inverse( Y ), Z ), inverse( multiply( X, Z ) ) ) ) ] )
% 0.71/1.10 , 0, 5, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X ), :=( Z, Z )] )
% 0.71/1.10 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 603, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.71/1.10 X, Y ) ) ) ] )
% 0.71/1.10 , clause( 602, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.71/1.10 inverse( X ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 173, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 0.71/1.10 X, Y ) ) ) ] )
% 0.71/1.10 , clause( 603, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.10 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 605, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 44, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.71/1.10 ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 610, [ =( inverse( b ), multiply( inverse( multiply( X, c ) ),
% 0.71/1.10 multiply( X, a ) ) ) ] )
% 0.71/1.10 , clause( 18, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.71/1.10 , 0, clause( 605, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) )
% 0.71/1.10 , X ) ) ] )
% 0.71/1.10 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.71/1.10 multiply( X, a ) ), :=( Y, b )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 611, [ =( inverse( b ), multiply( multiply( inverse( multiply( X, c
% 0.71/1.10 ) ), X ), a ) ) ] )
% 0.71/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.10 ), Z ) ) ] )
% 0.71/1.10 , 0, clause( 610, [ =( inverse( b ), multiply( inverse( multiply( X, c ) )
% 0.71/1.10 , multiply( X, a ) ) ) ] )
% 0.71/1.10 , 0, 3, substitution( 0, [ :=( X, inverse( multiply( X, c ) ) ), :=( Y, X )
% 0.71/1.10 , :=( Z, a )] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 612, [ =( inverse( b ), multiply( inverse( c ), a ) ) ] )
% 0.71/1.10 , clause( 44, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.71/1.10 ) ] )
% 0.71/1.10 , 0, clause( 611, [ =( inverse( b ), multiply( multiply( inverse( multiply(
% 0.71/1.10 X, c ) ), X ), a ) ) ] )
% 0.71/1.10 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, c )] ), substitution( 1, [
% 0.71/1.10 :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 613, [ =( multiply( inverse( c ), a ), inverse( b ) ) ] )
% 0.71/1.10 , clause( 612, [ =( inverse( b ), multiply( inverse( c ), a ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 181, [ =( multiply( inverse( c ), a ), inverse( b ) ) ] )
% 0.71/1.10 , clause( 613, [ =( multiply( inverse( c ), a ), inverse( b ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 615, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.71/1.10 , Z ) ) ) ] )
% 0.71/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.10 ), Z ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 617, [ =( multiply( multiply( X, inverse( c ) ), a ), multiply( X,
% 0.71/1.10 inverse( b ) ) ) ] )
% 0.71/1.10 , clause( 181, [ =( multiply( inverse( c ), a ), inverse( b ) ) ] )
% 0.71/1.10 , 0, clause( 615, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.71/1.10 multiply( Y, Z ) ) ) ] )
% 0.71/1.10 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.71/1.10 inverse( c ) ), :=( Z, a )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 190, [ =( multiply( multiply( X, inverse( c ) ), a ), multiply( X,
% 0.71/1.10 inverse( b ) ) ) ] )
% 0.71/1.10 , clause( 617, [ =( multiply( multiply( X, inverse( c ) ), a ), multiply( X
% 0.71/1.10 , inverse( b ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 621, [ =( multiply( X, inverse( Y ) ), multiply( multiply( X, Y ),
% 0.71/1.10 Y ) ) ] )
% 0.71/1.10 , clause( 37, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 625, [ =( multiply( multiply( c, b ), inverse( inverse( a ) ) ),
% 0.71/1.10 multiply( inverse( d ), inverse( a ) ) ) ] )
% 0.71/1.10 , clause( 72, [ =( multiply( multiply( c, b ), inverse( a ) ), inverse( d )
% 0.71/1.10 ) ] )
% 0.71/1.10 , 0, clause( 621, [ =( multiply( X, inverse( Y ) ), multiply( multiply( X,
% 0.71/1.10 Y ), Y ) ) ] )
% 0.71/1.10 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( c, b ) )
% 0.71/1.10 , :=( Y, inverse( a ) )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 626, [ =( multiply( multiply( c, b ), inverse( inverse( a ) ) ),
% 0.71/1.10 inverse( multiply( a, d ) ) ) ] )
% 0.71/1.10 , clause( 173, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , 0, clause( 625, [ =( multiply( multiply( c, b ), inverse( inverse( a ) )
% 0.71/1.10 ), multiply( inverse( d ), inverse( a ) ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [ :=( X, a ), :=( Y, d )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 627, [ =( multiply( multiply( c, b ), a ), inverse( multiply( a, d
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , clause( 29, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.10 , 0, clause( 626, [ =( multiply( multiply( c, b ), inverse( inverse( a ) )
% 0.71/1.10 ), inverse( multiply( a, d ) ) ) ] )
% 0.71/1.10 , 0, 5, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 203, [ =( multiply( multiply( c, b ), a ), inverse( multiply( a, d
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , clause( 627, [ =( multiply( multiply( c, b ), a ), inverse( multiply( a,
% 0.71/1.10 d ) ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 630, [ =( multiply( X, inverse( Y ) ), multiply( multiply( X, Y ),
% 0.71/1.10 Y ) ) ] )
% 0.71/1.10 , clause( 37, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 634, [ =( multiply( b, inverse( inverse( c ) ) ), multiply( inverse(
% 0.71/1.10 a ), inverse( c ) ) ) ] )
% 0.71/1.10 , clause( 57, [ =( multiply( b, inverse( c ) ), inverse( a ) ) ] )
% 0.71/1.10 , 0, clause( 630, [ =( multiply( X, inverse( Y ) ), multiply( multiply( X,
% 0.71/1.10 Y ), Y ) ) ] )
% 0.71/1.10 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 0.71/1.10 inverse( c ) )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 635, [ =( multiply( b, inverse( inverse( c ) ) ), inverse( multiply(
% 0.71/1.10 c, a ) ) ) ] )
% 0.71/1.10 , clause( 173, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , 0, clause( 634, [ =( multiply( b, inverse( inverse( c ) ) ), multiply(
% 0.71/1.10 inverse( a ), inverse( c ) ) ) ] )
% 0.71/1.10 , 0, 6, substitution( 0, [ :=( X, c ), :=( Y, a )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 636, [ =( multiply( b, c ), inverse( multiply( c, a ) ) ) ] )
% 0.71/1.10 , clause( 29, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.10 , 0, clause( 635, [ =( multiply( b, inverse( inverse( c ) ) ), inverse(
% 0.71/1.10 multiply( c, a ) ) ) ] )
% 0.71/1.10 , 0, 3, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 637, [ =( inverse( multiply( c, a ) ), multiply( b, c ) ) ] )
% 0.71/1.10 , clause( 636, [ =( multiply( b, c ), inverse( multiply( c, a ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 215, [ =( inverse( multiply( c, a ) ), multiply( b, c ) ) ] )
% 0.71/1.10 , clause( 637, [ =( inverse( multiply( c, a ) ), multiply( b, c ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 639, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.10 , clause( 29, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 640, [ =( multiply( c, a ), inverse( multiply( b, c ) ) ) ] )
% 0.71/1.10 , clause( 215, [ =( inverse( multiply( c, a ) ), multiply( b, c ) ) ] )
% 0.71/1.10 , 0, clause( 639, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.10 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( c, a ) )] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 641, [ =( inverse( multiply( b, c ) ), multiply( c, a ) ) ] )
% 0.71/1.10 , clause( 640, [ =( multiply( c, a ), inverse( multiply( b, c ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 236, [ =( inverse( multiply( b, c ) ), multiply( c, a ) ) ] )
% 0.71/1.10 , clause( 641, [ =( inverse( multiply( b, c ) ), multiply( c, a ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 643, [ =( multiply( X, inverse( b ) ), multiply( multiply( X,
% 0.71/1.10 inverse( d ) ), h ) ) ] )
% 0.71/1.10 , clause( 41, [ =( multiply( multiply( X, inverse( d ) ), h ), multiply( X
% 0.71/1.10 , inverse( b ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 645, [ =( multiply( inverse( a ), inverse( b ) ), multiply( inverse(
% 0.71/1.10 c ), h ) ) ] )
% 0.71/1.10 , clause( 78, [ =( multiply( inverse( a ), inverse( d ) ), inverse( c ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , 0, clause( 643, [ =( multiply( X, inverse( b ) ), multiply( multiply( X,
% 0.71/1.10 inverse( d ) ), h ) ) ] )
% 0.71/1.10 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( a ) )] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 646, [ =( inverse( multiply( b, a ) ), multiply( inverse( c ), h )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 173, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , 0, clause( 645, [ =( multiply( inverse( a ), inverse( b ) ), multiply(
% 0.71/1.10 inverse( c ), h ) ) ] )
% 0.71/1.10 , 0, 1, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 647, [ =( multiply( inverse( c ), h ), inverse( multiply( b, a ) )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 646, [ =( inverse( multiply( b, a ) ), multiply( inverse( c ), h
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 243, [ =( multiply( inverse( c ), h ), inverse( multiply( b, a ) )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 647, [ =( multiply( inverse( c ), h ), inverse( multiply( b, a )
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 649, [ =( inverse( multiply( X, Y ) ), multiply( multiply( multiply(
% 0.71/1.10 X, Y ), X ), Y ) ) ] )
% 0.71/1.10 , clause( 36, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 656, [ =( inverse( multiply( inverse( c ), h ) ), multiply(
% 0.71/1.10 multiply( inverse( multiply( b, a ) ), inverse( c ) ), h ) ) ] )
% 0.71/1.10 , clause( 243, [ =( multiply( inverse( c ), h ), inverse( multiply( b, a )
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , 0, clause( 649, [ =( inverse( multiply( X, Y ) ), multiply( multiply(
% 0.71/1.10 multiply( X, Y ), X ), Y ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( c ) ),
% 0.71/1.10 :=( Y, h )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 657, [ =( inverse( inverse( multiply( b, a ) ) ), multiply(
% 0.71/1.10 multiply( inverse( multiply( b, a ) ), inverse( c ) ), h ) ) ] )
% 0.71/1.10 , clause( 243, [ =( multiply( inverse( c ), h ), inverse( multiply( b, a )
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , 0, clause( 656, [ =( inverse( multiply( inverse( c ), h ) ), multiply(
% 0.71/1.10 multiply( inverse( multiply( b, a ) ), inverse( c ) ), h ) ) ] )
% 0.71/1.10 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 662, [ =( inverse( inverse( multiply( b, a ) ) ), multiply( inverse(
% 0.71/1.10 multiply( c, multiply( b, a ) ) ), h ) ) ] )
% 0.71/1.10 , clause( 173, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , 0, clause( 657, [ =( inverse( inverse( multiply( b, a ) ) ), multiply(
% 0.71/1.10 multiply( inverse( multiply( b, a ) ), inverse( c ) ), h ) ) ] )
% 0.71/1.10 , 0, 7, substitution( 0, [ :=( X, c ), :=( Y, multiply( b, a ) )] ),
% 0.71/1.10 substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 663, [ =( inverse( inverse( multiply( b, a ) ) ), multiply( inverse(
% 0.71/1.10 multiply( multiply( c, b ), a ) ), h ) ) ] )
% 0.71/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.10 ), Z ) ) ] )
% 0.71/1.10 , 0, clause( 662, [ =( inverse( inverse( multiply( b, a ) ) ), multiply(
% 0.71/1.10 inverse( multiply( c, multiply( b, a ) ) ), h ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [ :=( X, c ), :=( Y, b ), :=( Z, a )] ),
% 0.71/1.10 substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 664, [ =( inverse( inverse( multiply( b, a ) ) ), multiply( inverse(
% 0.71/1.10 inverse( multiply( a, d ) ) ), h ) ) ] )
% 0.71/1.10 , clause( 203, [ =( multiply( multiply( c, b ), a ), inverse( multiply( a,
% 0.71/1.10 d ) ) ) ] )
% 0.71/1.10 , 0, clause( 663, [ =( inverse( inverse( multiply( b, a ) ) ), multiply(
% 0.71/1.10 inverse( multiply( multiply( c, b ), a ) ), h ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 666, [ =( inverse( inverse( multiply( b, a ) ) ), multiply(
% 0.71/1.10 multiply( a, d ), h ) ) ] )
% 0.71/1.10 , clause( 29, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.10 , 0, clause( 664, [ =( inverse( inverse( multiply( b, a ) ) ), multiply(
% 0.71/1.10 inverse( inverse( multiply( a, d ) ) ), h ) ) ] )
% 0.71/1.10 , 0, 7, substitution( 0, [ :=( X, multiply( a, d ) )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 668, [ =( multiply( b, a ), multiply( multiply( a, d ), h ) ) ] )
% 0.71/1.10 , clause( 29, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.10 , 0, clause( 666, [ =( inverse( inverse( multiply( b, a ) ) ), multiply(
% 0.71/1.10 multiply( a, d ), h ) ) ] )
% 0.71/1.10 , 0, 1, substitution( 0, [ :=( X, multiply( b, a ) )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 669, [ =( multiply( multiply( a, d ), h ), multiply( b, a ) ) ] )
% 0.71/1.10 , clause( 668, [ =( multiply( b, a ), multiply( multiply( a, d ), h ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 246, [ =( multiply( multiply( a, d ), h ), multiply( b, a ) ) ] )
% 0.71/1.10 , clause( 669, [ =( multiply( multiply( a, d ), h ), multiply( b, a ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 671, [ =( multiply( X, d ), multiply( multiply( X, h ), b ) ) ] )
% 0.71/1.10 , clause( 62, [ =( multiply( multiply( X, h ), b ), multiply( X, d ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 674, [ =( multiply( multiply( a, d ), d ), multiply( multiply( b, a
% 0.71/1.10 ), b ) ) ] )
% 0.71/1.10 , clause( 246, [ =( multiply( multiply( a, d ), h ), multiply( b, a ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , 0, clause( 671, [ =( multiply( X, d ), multiply( multiply( X, h ), b ) )
% 0.71/1.10 ] )
% 0.71/1.10 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( a, d ) )] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 675, [ =( multiply( multiply( a, d ), d ), multiply( b, c ) ) ] )
% 0.71/1.10 , clause( 18, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.71/1.10 , 0, clause( 674, [ =( multiply( multiply( a, d ), d ), multiply( multiply(
% 0.71/1.10 b, a ), b ) ) ] )
% 0.71/1.10 , 0, 6, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 676, [ =( multiply( a, inverse( d ) ), multiply( b, c ) ) ] )
% 0.71/1.10 , clause( 37, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , 0, clause( 675, [ =( multiply( multiply( a, d ), d ), multiply( b, c ) )
% 0.71/1.10 ] )
% 0.71/1.10 , 0, 1, substitution( 0, [ :=( X, d ), :=( Y, a )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 253, [ =( multiply( a, inverse( d ) ), multiply( b, c ) ) ] )
% 0.71/1.10 , clause( 676, [ =( multiply( a, inverse( d ) ), multiply( b, c ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 679, [ =( inverse( multiply( X, Y ) ), multiply( multiply( multiply(
% 0.71/1.10 X, Y ), X ), Y ) ) ] )
% 0.71/1.10 , clause( 36, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 686, [ =( inverse( multiply( a, inverse( d ) ) ), multiply(
% 0.71/1.10 multiply( multiply( b, c ), a ), inverse( d ) ) ) ] )
% 0.71/1.10 , clause( 253, [ =( multiply( a, inverse( d ) ), multiply( b, c ) ) ] )
% 0.71/1.10 , 0, clause( 679, [ =( inverse( multiply( X, Y ) ), multiply( multiply(
% 0.71/1.10 multiply( X, Y ), X ), Y ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y,
% 0.71/1.10 inverse( d ) )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 687, [ =( inverse( multiply( b, c ) ), multiply( multiply( multiply(
% 0.71/1.10 b, c ), a ), inverse( d ) ) ) ] )
% 0.71/1.10 , clause( 253, [ =( multiply( a, inverse( d ) ), multiply( b, c ) ) ] )
% 0.71/1.10 , 0, clause( 686, [ =( inverse( multiply( a, inverse( d ) ) ), multiply(
% 0.71/1.10 multiply( multiply( b, c ), a ), inverse( d ) ) ) ] )
% 0.71/1.10 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 692, [ =( inverse( multiply( b, c ) ), multiply( inverse( multiply(
% 0.71/1.10 b, a ) ), inverse( d ) ) ) ] )
% 0.71/1.10 , clause( 162, [ =( multiply( multiply( b, c ), a ), inverse( multiply( b,
% 0.71/1.10 a ) ) ) ] )
% 0.71/1.10 , 0, clause( 687, [ =( inverse( multiply( b, c ) ), multiply( multiply(
% 0.71/1.10 multiply( b, c ), a ), inverse( d ) ) ) ] )
% 0.71/1.10 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 693, [ =( inverse( multiply( b, c ) ), inverse( multiply( d,
% 0.71/1.10 multiply( b, a ) ) ) ) ] )
% 0.71/1.10 , clause( 173, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 0.71/1.10 multiply( X, Y ) ) ) ] )
% 0.71/1.10 , 0, clause( 692, [ =( inverse( multiply( b, c ) ), multiply( inverse(
% 0.71/1.10 multiply( b, a ) ), inverse( d ) ) ) ] )
% 0.71/1.10 , 0, 5, substitution( 0, [ :=( X, d ), :=( Y, multiply( b, a ) )] ),
% 0.71/1.10 substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 694, [ =( inverse( multiply( b, c ) ), inverse( multiply( multiply(
% 0.71/1.10 d, b ), a ) ) ) ] )
% 0.71/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.10 ), Z ) ) ] )
% 0.71/1.10 , 0, clause( 693, [ =( inverse( multiply( b, c ) ), inverse( multiply( d,
% 0.71/1.10 multiply( b, a ) ) ) ) ] )
% 0.71/1.10 , 0, 6, substitution( 0, [ :=( X, d ), :=( Y, b ), :=( Z, a )] ),
% 0.71/1.10 substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 695, [ =( inverse( multiply( b, c ) ), inverse( multiply( k, c ) )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 90, [ =( multiply( multiply( d, b ), a ), multiply( k, c ) ) ] )
% 0.71/1.10 , 0, clause( 694, [ =( inverse( multiply( b, c ) ), inverse( multiply(
% 0.71/1.10 multiply( d, b ), a ) ) ) ] )
% 0.71/1.10 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 696, [ =( multiply( c, a ), inverse( multiply( k, c ) ) ) ] )
% 0.71/1.10 , clause( 236, [ =( inverse( multiply( b, c ) ), multiply( c, a ) ) ] )
% 0.71/1.10 , 0, clause( 695, [ =( inverse( multiply( b, c ) ), inverse( multiply( k, c
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 697, [ =( inverse( multiply( k, c ) ), multiply( c, a ) ) ] )
% 0.71/1.10 , clause( 696, [ =( multiply( c, a ), inverse( multiply( k, c ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 262, [ =( inverse( multiply( k, c ) ), multiply( c, a ) ) ] )
% 0.71/1.10 , clause( 697, [ =( inverse( multiply( k, c ) ), multiply( c, a ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 699, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.71/1.10 , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 703, [ ~( =( identity, multiply( k, inverse( b ) ) ) ) ] )
% 0.71/1.10 , clause( 11, [ ~( =( multiply( k, inverse( b ) ), identity ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 704, [ =( identity, multiply( multiply( k, c ), multiply( c, a ) )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 262, [ =( inverse( multiply( k, c ) ), multiply( c, a ) ) ] )
% 0.71/1.10 , 0, clause( 699, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.71/1.10 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( k, c ) )] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 705, [ =( identity, multiply( multiply( multiply( k, c ), c ), a )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.10 ), Z ) ) ] )
% 0.71/1.10 , 0, clause( 704, [ =( identity, multiply( multiply( k, c ), multiply( c, a
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , 0, 2, substitution( 0, [ :=( X, multiply( k, c ) ), :=( Y, c ), :=( Z, a
% 0.71/1.10 )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 706, [ =( identity, multiply( multiply( k, inverse( c ) ), a ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , clause( 37, [ =( multiply( multiply( Y, X ), X ), multiply( Y, inverse( X
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , 0, clause( 705, [ =( identity, multiply( multiply( multiply( k, c ), c )
% 0.71/1.10 , a ) ) ] )
% 0.71/1.10 , 0, 3, substitution( 0, [ :=( X, c ), :=( Y, k )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 707, [ =( identity, multiply( k, inverse( b ) ) ) ] )
% 0.71/1.10 , clause( 190, [ =( multiply( multiply( X, inverse( c ) ), a ), multiply( X
% 0.71/1.10 , inverse( b ) ) ) ] )
% 0.71/1.10 , 0, clause( 706, [ =( identity, multiply( multiply( k, inverse( c ) ), a )
% 0.71/1.10 ) ] )
% 0.71/1.10 , 0, 2, substitution( 0, [ :=( X, k )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 708, [] )
% 0.71/1.10 , clause( 703, [ ~( =( identity, multiply( k, inverse( b ) ) ) ) ] )
% 0.71/1.10 , 0, clause( 707, [ =( identity, multiply( k, inverse( b ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 268, [] )
% 0.71/1.10 , clause( 708, [] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 end.
% 0.71/1.10
% 0.71/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10
% 0.71/1.10 Memory use:
% 0.71/1.10
% 0.71/1.10 space for terms: 2939
% 0.71/1.10 space for clauses: 25901
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 clauses generated: 1188
% 0.71/1.10 clauses kept: 269
% 0.71/1.10 clauses selected: 85
% 0.71/1.10 clauses deleted: 9
% 0.71/1.10 clauses inuse deleted: 0
% 0.71/1.10
% 0.71/1.10 subsentry: 1280
% 0.71/1.10 literals s-matched: 437
% 0.71/1.10 literals matched: 435
% 0.71/1.10 full subsumption: 0
% 0.71/1.10
% 0.71/1.10 checksum: 1750891579
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Bliksem ended
%------------------------------------------------------------------------------