%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 07:36:06 EDT 2022
% Result : Unsatisfiable 0.73s 1.29s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 11:31:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.29 *** allocated 10000 integers for termspace/termends
% 0.73/1.29 *** allocated 10000 integers for clauses
% 0.73/1.29 *** allocated 10000 integers for justifications
% 0.73/1.29 Bliksem 1.12
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Automatic Strategy Selection
% 0.73/1.29
% 0.73/1.29 Clauses:
% 0.73/1.29 [
% 0.73/1.29 [ =( multiply( identity, X ), X ) ],
% 0.73/1.29 [ =( multiply( 'left_inverse'( X ), X ), identity ) ],
% 0.73/1.29 [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply( X,
% 0.73/1.29 multiply( Y, multiply( X, Z ) ) ) ) ],
% 0.73/1.29 [ ~( =( multiply( multiply( multiply( a, b ), c ), b ), multiply( a,
% 0.73/1.29 multiply( b, multiply( c, b ) ) ) ) ) ]
% 0.73/1.29 ] .
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.29 This is a pure equality problem
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Options Used:
% 0.73/1.29
% 0.73/1.29 useres = 1
% 0.73/1.29 useparamod = 1
% 0.73/1.29 useeqrefl = 1
% 0.73/1.29 useeqfact = 1
% 0.73/1.29 usefactor = 1
% 0.73/1.29 usesimpsplitting = 0
% 0.73/1.29 usesimpdemod = 5
% 0.73/1.29 usesimpres = 3
% 0.73/1.29
% 0.73/1.29 resimpinuse = 1000
% 0.73/1.29 resimpclauses = 20000
% 0.73/1.29 substype = eqrewr
% 0.73/1.29 backwardsubs = 1
% 0.73/1.29 selectoldest = 5
% 0.73/1.29
% 0.73/1.29 litorderings [0] = split
% 0.73/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.29
% 0.73/1.29 termordering = kbo
% 0.73/1.29
% 0.73/1.29 litapriori = 0
% 0.73/1.29 termapriori = 1
% 0.73/1.29 litaposteriori = 0
% 0.73/1.29 termaposteriori = 0
% 0.73/1.29 demodaposteriori = 0
% 0.73/1.29 ordereqreflfact = 0
% 0.73/1.29
% 0.73/1.29 litselect = negord
% 0.73/1.29
% 0.73/1.29 maxweight = 15
% 0.73/1.29 maxdepth = 30000
% 0.73/1.29 maxlength = 115
% 0.73/1.29 maxnrvars = 195
% 0.73/1.29 excuselevel = 1
% 0.73/1.29 increasemaxweight = 1
% 0.73/1.29
% 0.73/1.29 maxselected = 10000000
% 0.73/1.29 maxnrclauses = 10000000
% 0.73/1.29
% 0.73/1.29 showgenerated = 0
% 0.73/1.29 showkept = 0
% 0.73/1.29 showselected = 0
% 0.73/1.29 showdeleted = 0
% 0.73/1.29 showresimp = 1
% 0.73/1.29 showstatus = 2000
% 0.73/1.29
% 0.73/1.29 prologoutput = 1
% 0.73/1.29 nrgoals = 5000000
% 0.73/1.29 totalproof = 1
% 0.73/1.29
% 0.73/1.29 Symbols occurring in the translation:
% 0.73/1.29
% 0.73/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.29 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.29 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.73/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.29 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.29 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.29 'left_inverse' [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.29 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.29 b [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.29 c [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Starting Search:
% 0.73/1.29
% 0.73/1.29 Resimplifying inuse:
% 0.73/1.29 Done
% 0.73/1.29
% 0.73/1.29 Failed to find proof!
% 0.73/1.29 maxweight = 15
% 0.73/1.29 maxnrclauses = 10000000
% 0.73/1.29 Generated: 642
% 0.73/1.29 Kept: 28
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 The strategy used was not complete!
% 0.73/1.29
% 0.73/1.29 Increased maxweight to 16
% 0.73/1.29
% 0.73/1.29 Starting Search:
% 0.73/1.29
% 0.73/1.29 Resimplifying inuse:
% 0.73/1.29 Done
% 0.73/1.29
% 0.73/1.29 Failed to find proof!
% 0.73/1.29 maxweight = 16
% 0.73/1.29 maxnrclauses = 10000000
% 0.73/1.29 Generated: 875
% 0.73/1.29 Kept: 32
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 The strategy used was not complete!
% 0.73/1.29
% 0.73/1.29 Increased maxweight to 17
% 0.73/1.29
% 0.73/1.29 Starting Search:
% 0.73/1.29
% 0.73/1.29 Resimplifying inuse:
% 0.73/1.29 Done
% 0.73/1.29
% 0.73/1.29 Failed to find proof!
% 0.73/1.29 maxweight = 17
% 0.73/1.29 maxnrclauses = 10000000
% 0.73/1.29 Generated: 1455
% 0.73/1.29 Kept: 48
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 The strategy used was not complete!
% 0.73/1.29
% 0.73/1.29 Increased maxweight to 18
% 0.73/1.29
% 0.73/1.29 Starting Search:
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Bliksems!, er is een bewijs:
% 0.73/1.29 % SZS status Unsatisfiable
% 0.73/1.29 % SZS output start Refutation
% 0.73/1.29
% 0.73/1.29 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 3, [ ~( =( multiply( a, multiply( b, multiply( c, b ) ) ), multiply(
% 0.73/1.29 multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 4, [ =( multiply( Y, multiply( multiply( multiply( X, Y ), X ), Z )
% 0.73/1.29 ), multiply( multiply( multiply( Y, X ), Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 6, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, Y ) ) ), X ), Y ), multiply( X, identity ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 7, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y ) )
% 0.73/1.29 ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 10, [ =( multiply( multiply( multiply( X, Y ), multiply( X,
% 0.73/1.29 identity ) ), Z ), multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 11, [ =( multiply( multiply( multiply( Y, multiply( X, identity ) )
% 0.73/1.29 , Y ), Z ), multiply( multiply( multiply( Y, X ), Y ), Z ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 12, [ =( multiply( 'left_inverse'( identity ), X ), X ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 13, [ =( multiply( multiply( X, 'left_inverse'( identity ) ), Y ),
% 0.73/1.29 multiply( X, Y ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 16, [ =( multiply( 'left_inverse'( 'left_inverse'( identity ) ), X
% 0.73/1.29 ), X ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 18, [ =( 'left_inverse'( identity ), identity ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 24, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, identity ) ) ), X ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 28, [ =( multiply( 'left_inverse'( X ), multiply( X, identity ) ),
% 0.73/1.29 identity ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 30, [ =( multiply( 'left_inverse'( multiply( multiply( X,
% 0.73/1.29 'left_inverse'( multiply( X, identity ) ) ), X ) ), multiply( X, identity
% 0.73/1.29 ) ), identity ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 32, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) ), X
% 0.73/1.29 ), identity ), multiply( X, identity ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 33, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, identity ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 36, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) ), X
% 0.73/1.29 ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 37, [ =( multiply( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), identity ) ), identity ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 38, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X
% 0.73/1.29 ) ), multiply( 'left_inverse'( 'left_inverse'( X ) ), identity ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), identity ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 44, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ), identity ) ]
% 0.73/1.29 )
% 0.73/1.29 .
% 0.73/1.29 clause( 48, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 49, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity ) ),
% 0.73/1.29 'left_inverse'( X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 50, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 52, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ), identity ), identity ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 56, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ), Y ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 57, [ =( multiply( multiply( Y, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Z ),
% 0.73/1.29 multiply( Y, Z ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 58, [ =( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 59, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply( 'left_inverse'(
% 0.73/1.29 X ), identity ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 60, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 63, [ =( 'left_inverse'( 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 'left_inverse'( X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 65, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 72, [ =( multiply( multiply( multiply( X, Y ), X ), 'left_inverse'(
% 0.73/1.29 X ) ), multiply( X, multiply( Y, identity ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 75, [ =( multiply( multiply( X, X ), 'left_inverse'( X ) ),
% 0.73/1.29 multiply( X, identity ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 76, [ =( multiply( X, 'left_inverse'( X ) ), identity ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 93, [ =( multiply( 'left_inverse'( X ), multiply( X, X ) ), X ) ]
% 0.73/1.29 )
% 0.73/1.29 .
% 0.73/1.29 clause( 96, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X, Y
% 0.73/1.29 ), X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 101, [ =( multiply( multiply( multiply( X, X ), X ), multiply(
% 0.73/1.29 'left_inverse'( X ), Y ) ), multiply( multiply( X, X ), Y ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 112, [ ~( =( multiply( a, multiply( multiply( b, c ), b ) ),
% 0.73/1.29 multiply( multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 114, [ =( multiply( multiply( multiply( X, Y ), X ), 'left_inverse'(
% 0.73/1.29 X ) ), multiply( X, Y ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 115, [ =( multiply( multiply( 'left_inverse'( X ), multiply(
% 0.73/1.29 multiply( X, Y ), X ) ), 'left_inverse'( X ) ), multiply( 'left_inverse'(
% 0.73/1.29 X ), multiply( X, Y ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 121, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, X )
% 0.73/1.29 , Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y ) ]
% 0.73/1.29 )
% 0.73/1.29 .
% 0.73/1.29 clause( 129, [ =( multiply( X, multiply( 'left_inverse'( multiply( X, X ) )
% 0.73/1.29 , Y ) ), multiply( 'left_inverse'( X ), Y ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 130, [ =( multiply( multiply( Y, X ), 'left_inverse'( X ) ), Y ) ]
% 0.73/1.29 )
% 0.73/1.29 .
% 0.73/1.29 clause( 133, [ =( multiply( multiply( Y, 'left_inverse'( X ) ), X ), Y ) ]
% 0.73/1.29 )
% 0.73/1.29 .
% 0.73/1.29 clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y ) ]
% 0.73/1.29 )
% 0.73/1.29 .
% 0.73/1.29 clause( 139, [ =( multiply( multiply( multiply( X, Z ), X ), multiply(
% 0.73/1.29 'left_inverse'( X ), Y ) ), multiply( X, multiply( Z, Y ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 153, [ =( multiply( multiply( X, 'left_inverse'( multiply( X, Y ) )
% 0.73/1.29 ), X ), multiply( X, 'left_inverse'( Y ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 157, [ =( multiply( Y, 'left_inverse'( multiply( X, Y ) ) ),
% 0.73/1.29 'left_inverse'( X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 158, [ =( multiply( 'left_inverse'( multiply( X, Y ) ), X ),
% 0.73/1.29 'left_inverse'( Y ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 164, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, Y )
% 0.73/1.29 , X ) ), multiply( Y, X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 170, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( X, Y ), X ), Z ) ), multiply( Y, multiply( X, Z ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 175, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.29 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 190, [ =( 'left_inverse'( multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.29 multiply( 'left_inverse'( Y ), X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 218, [ =( multiply( multiply( X, 'left_inverse'( Y ) ),
% 0.73/1.29 'left_inverse'( Z ) ), 'left_inverse'( multiply( Z, multiply( Y,
% 0.73/1.29 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 219, [ =( multiply( 'left_inverse'( Z ), multiply( X,
% 0.73/1.29 'left_inverse'( Y ) ) ), 'left_inverse'( multiply( multiply( Y,
% 0.73/1.29 'left_inverse'( X ) ), Z ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 220, [ =( multiply( multiply( Z, multiply( Y, 'left_inverse'( X ) )
% 0.73/1.29 ), multiply( X, 'left_inverse'( Y ) ) ), Z ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 229, [ =( multiply( X, multiply( Y, 'left_inverse'( X ) ) ),
% 0.73/1.29 multiply( multiply( X, Y ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 233, [ =( multiply( Y, multiply( X, X ) ), multiply( multiply( Y, X
% 0.73/1.29 ), X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 239, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 Y, Y ) ) ), Y ), Y ), X ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 391, [ =( multiply( multiply( X, 'left_inverse'( Y ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), Z ) ), multiply( X, multiply( 'left_inverse'(
% 0.73/1.29 multiply( X, Y ) ), Z ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 393, [ =( multiply( multiply( X, multiply( Y, 'left_inverse'( Z ) )
% 0.73/1.29 ), multiply( Z, X ) ), multiply( multiply( X, Y ), X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 395, [ =( multiply( X, multiply( multiply( Y, 'left_inverse'( X ) )
% 0.73/1.29 , Z ) ), multiply( multiply( X, Y ), multiply( 'left_inverse'( X ), Z ) )
% 0.73/1.29 ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 398, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, Y )
% 0.73/1.29 , Z ) ), multiply( multiply( Y, 'left_inverse'( X ) ), multiply( X, Z ) )
% 0.73/1.29 ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 424, [ =( multiply( multiply( Z, X ), multiply( Y, Z ) ), multiply(
% 0.73/1.29 multiply( Z, multiply( X, Y ) ), Z ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 432, [ =( multiply( 'left_inverse'( multiply( X, Y ) ), multiply(
% 0.73/1.29 multiply( X, multiply( Y, Z ) ), X ) ), multiply( Z, X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 438, [ =( multiply( multiply( X, 'left_inverse'( Z ) ), multiply(
% 0.73/1.29 multiply( Z, Y ), Z ) ), multiply( multiply( X, Y ), Z ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 439, [ =( multiply( 'left_inverse'( multiply( Z, X ) ), multiply(
% 0.73/1.29 multiply( Z, Y ), Z ) ), multiply( multiply( 'left_inverse'( X ), Y ), Z
% 0.73/1.29 ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 440, [ =( multiply( Z, multiply( multiply( X, Y ), X ) ), multiply(
% 0.73/1.29 multiply( multiply( Z, X ), Y ), X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 442, [] )
% 0.73/1.29 .
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 % SZS output end Refutation
% 0.73/1.29 found a proof!
% 0.73/1.29
% 0.73/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.29
% 0.73/1.29 initialclauses(
% 0.73/1.29 [ clause( 444, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , clause( 445, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , clause( 446, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 447, [ ~( =( multiply( multiply( multiply( a, b ), c ), b ),
% 0.73/1.29 multiply( a, multiply( b, multiply( c, b ) ) ) ) ) ] )
% 0.73/1.29 ] ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , clause( 444, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , clause( 445, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 453, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , clause( 446, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , clause( 453, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ),
% 0.73/1.29 multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 457, [ ~( =( multiply( a, multiply( b, multiply( c, b ) ) ),
% 0.73/1.29 multiply( multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.29 , clause( 447, [ ~( =( multiply( multiply( multiply( a, b ), c ), b ),
% 0.73/1.29 multiply( a, multiply( b, multiply( c, b ) ) ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 3, [ ~( =( multiply( a, multiply( b, multiply( c, b ) ) ), multiply(
% 0.73/1.29 multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.29 , clause( 457, [ ~( =( multiply( a, multiply( b, multiply( c, b ) ) ),
% 0.73/1.29 multiply( multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 458, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 463, [ =( multiply( multiply( multiply( X, Y ), X ), multiply( Y, Z
% 0.73/1.29 ) ), multiply( X, multiply( multiply( multiply( Y, X ), Y ), Z ) ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, clause( 458, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Y, Z ) )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 472, [ =( multiply( X, multiply( multiply( multiply( Y, X ), Y ), Z
% 0.73/1.29 ) ), multiply( multiply( multiply( X, Y ), X ), multiply( Y, Z ) ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 463, [ =( multiply( multiply( multiply( X, Y ), X ), multiply( Y
% 0.73/1.29 , Z ) ), multiply( X, multiply( multiply( multiply( Y, X ), Y ), Z ) ) )
% 0.73/1.29 ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 4, [ =( multiply( Y, multiply( multiply( multiply( X, Y ), X ), Z )
% 0.73/1.29 ), multiply( multiply( multiply( Y, X ), Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.29 , clause( 472, [ =( multiply( X, multiply( multiply( multiply( Y, X ), Y )
% 0.73/1.29 , Z ) ), multiply( multiply( multiply( X, Y ), X ), multiply( Y, Z ) ) )
% 0.73/1.29 ] )
% 0.73/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 475, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 477, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, Y ) ) ), X ), Y ), multiply( X, identity ) ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 475, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 13, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 0.73/1.29 , [ :=( X, X ), :=( Y, 'left_inverse'( multiply( X, Y ) ) ), :=( Z, Y )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 6, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, Y ) ) ), X ), Y ), multiply( X, identity ) ) ] )
% 0.73/1.29 , clause( 477, [ =( multiply( multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 multiply( X, Y ) ) ), X ), Y ), multiply( X, identity ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 483, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 486, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 483, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 7, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , clause( 486, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y )
% 0.73/1.29 , 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), multiply( Y
% 0.73/1.29 , identity ) ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 490, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 497, [ =( multiply( multiply( multiply( identity, X ), identity ),
% 0.73/1.29 Y ), multiply( identity, multiply( X, Y ) ) ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 490, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.73/1.29 identity ), :=( Y, X ), :=( Z, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 503, [ =( multiply( multiply( multiply( identity, X ), identity ),
% 0.73/1.29 Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 497, [ =( multiply( multiply( multiply( identity, X ),
% 0.73/1.29 identity ), Y ), multiply( identity, multiply( X, Y ) ) ) ] )
% 0.73/1.29 , 0, 8, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 505, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 503, [ =( multiply( multiply( multiply( identity, X ),
% 0.73/1.29 identity ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y ) )
% 0.73/1.29 ] )
% 0.73/1.29 , clause( 505, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 507, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 513, [ =( multiply( X, multiply( Y, multiply( multiply( X, identity
% 0.73/1.29 ), Z ) ) ), multiply( multiply( multiply( multiply( X, identity ), Y ),
% 0.73/1.29 multiply( X, identity ) ), Z ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, clause( 507, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.73/1.29 , Y ) ) ] )
% 0.73/1.29 , 0, 10, substitution( 0, [ :=( X, multiply( X, identity ) ), :=( Y, Y ),
% 0.73/1.29 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply( Y,
% 0.73/1.29 multiply( multiply( X, identity ), Z ) ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 514, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( multiply( X, identity ), Y ), multiply( X, identity )
% 0.73/1.29 ), Z ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 513, [ =( multiply( X, multiply( Y, multiply( multiply( X,
% 0.73/1.29 identity ), Z ) ) ), multiply( multiply( multiply( multiply( X, identity
% 0.73/1.29 ), Y ), multiply( X, identity ) ), Z ) ) ] )
% 0.73/1.29 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 518, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 multiply( multiply( multiply( X, identity ), Y ), multiply( X, identity )
% 0.73/1.29 ), Z ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, clause( 514, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ),
% 0.73/1.29 multiply( multiply( multiply( multiply( X, identity ), Y ), multiply( X,
% 0.73/1.29 identity ) ), Z ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 519, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), multiply( X, identity ) ), Z ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 518, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( multiply( multiply( multiply( X, identity ), Y ), multiply( X,
% 0.73/1.29 identity ) ), Z ) ) ] )
% 0.73/1.29 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 520, [ =( multiply( multiply( multiply( X, Y ), multiply( X,
% 0.73/1.29 identity ) ), Z ), multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , clause( 519, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( multiply( multiply( X, Y ), multiply( X, identity ) ), Z ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 10, [ =( multiply( multiply( multiply( X, Y ), multiply( X,
% 0.73/1.29 identity ) ), Z ), multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , clause( 520, [ =( multiply( multiply( multiply( X, Y ), multiply( X,
% 0.73/1.29 identity ) ), Z ), multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 522, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 530, [ =( multiply( multiply( multiply( X, multiply( Y, identity )
% 0.73/1.29 ), X ), Z ), multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 522, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Z ) )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, identity ) ), :=( Z, Z
% 0.73/1.29 )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 540, [ =( multiply( multiply( multiply( X, multiply( Y, identity )
% 0.73/1.29 ), X ), Z ), multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, clause( 530, [ =( multiply( multiply( multiply( X, multiply( Y,
% 0.73/1.29 identity ) ), X ), Z ), multiply( X, multiply( Y, multiply( X, Z ) ) ) )
% 0.73/1.29 ] )
% 0.73/1.29 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 11, [ =( multiply( multiply( multiply( Y, multiply( X, identity ) )
% 0.73/1.29 , Y ), Z ), multiply( multiply( multiply( Y, X ), Y ), Z ) ) ] )
% 0.73/1.29 , clause( 540, [ =( multiply( multiply( multiply( X, multiply( Y, identity
% 0.73/1.29 ) ), X ), Z ), multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 543, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 546, [ =( multiply( 'left_inverse'( identity ), X ), multiply(
% 0.73/1.29 identity, X ) ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 543, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.73/1.29 , Y ) ) ] )
% 0.73/1.29 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( identity ) ), :=( Y, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 547, [ =( multiply( 'left_inverse'( identity ), X ), X ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 546, [ =( multiply( 'left_inverse'( identity ), X ), multiply(
% 0.73/1.29 identity, X ) ) ] )
% 0.73/1.29 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 12, [ =( multiply( 'left_inverse'( identity ), X ), X ) ] )
% 0.73/1.29 , clause( 547, [ =( multiply( 'left_inverse'( identity ), X ), X ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 549, [ =( X, multiply( 'left_inverse'( identity ), X ) ) ] )
% 0.73/1.29 , clause( 12, [ =( multiply( 'left_inverse'( identity ), X ), X ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 553, [ =( multiply( X, multiply( 'left_inverse'( identity ), Y ) )
% 0.73/1.29 , multiply( multiply( multiply( 'left_inverse'( identity ), X ),
% 0.73/1.29 'left_inverse'( identity ) ), Y ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, clause( 549, [ =( X, multiply( 'left_inverse'( identity ), X ) ) ] )
% 0.73/1.29 , 0, 7, substitution( 0, [ :=( X, 'left_inverse'( identity ) ), :=( Y, X )
% 0.73/1.29 , :=( Z, Y )] ), substitution( 1, [ :=( X, multiply( X, multiply(
% 0.73/1.29 'left_inverse'( identity ), Y ) ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 555, [ =( multiply( X, multiply( 'left_inverse'( identity ), Y ) )
% 0.73/1.29 , multiply( multiply( X, 'left_inverse'( identity ) ), Y ) ) ] )
% 0.73/1.29 , clause( 12, [ =( multiply( 'left_inverse'( identity ), X ), X ) ] )
% 0.73/1.29 , 0, clause( 553, [ =( multiply( X, multiply( 'left_inverse'( identity ), Y
% 0.73/1.29 ) ), multiply( multiply( multiply( 'left_inverse'( identity ), X ),
% 0.73/1.29 'left_inverse'( identity ) ), Y ) ) ] )
% 0.73/1.29 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 557, [ =( multiply( X, Y ), multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 identity ) ), Y ) ) ] )
% 0.73/1.29 , clause( 12, [ =( multiply( 'left_inverse'( identity ), X ), X ) ] )
% 0.73/1.29 , 0, clause( 555, [ =( multiply( X, multiply( 'left_inverse'( identity ), Y
% 0.73/1.29 ) ), multiply( multiply( X, 'left_inverse'( identity ) ), Y ) ) ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 558, [ =( multiply( multiply( X, 'left_inverse'( identity ) ), Y )
% 0.73/1.29 , multiply( X, Y ) ) ] )
% 0.73/1.29 , clause( 557, [ =( multiply( X, Y ), multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 identity ) ), Y ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 13, [ =( multiply( multiply( X, 'left_inverse'( identity ) ), Y ),
% 0.73/1.29 multiply( X, Y ) ) ] )
% 0.73/1.29 , clause( 558, [ =( multiply( multiply( X, 'left_inverse'( identity ) ), Y
% 0.73/1.29 ), multiply( X, Y ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 560, [ =( multiply( X, Y ), multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 identity ) ), Y ) ) ] )
% 0.73/1.29 , clause( 13, [ =( multiply( multiply( X, 'left_inverse'( identity ) ), Y )
% 0.73/1.29 , multiply( X, Y ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 563, [ =( multiply( 'left_inverse'( 'left_inverse'( identity ) ), X
% 0.73/1.29 ), multiply( identity, X ) ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 560, [ =( multiply( X, Y ), multiply( multiply( X,
% 0.73/1.29 'left_inverse'( identity ) ), Y ) ) ] )
% 0.73/1.29 , 0, 7, substitution( 0, [ :=( X, 'left_inverse'( identity ) )] ),
% 0.73/1.29 substitution( 1, [ :=( X, 'left_inverse'( 'left_inverse'( identity ) ) )
% 0.73/1.29 , :=( Y, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 564, [ =( multiply( 'left_inverse'( 'left_inverse'( identity ) ), X
% 0.73/1.29 ), X ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 563, [ =( multiply( 'left_inverse'( 'left_inverse'( identity )
% 0.73/1.29 ), X ), multiply( identity, X ) ) ] )
% 0.73/1.29 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 16, [ =( multiply( 'left_inverse'( 'left_inverse'( identity ) ), X
% 0.73/1.29 ), X ) ] )
% 0.73/1.29 , clause( 564, [ =( multiply( 'left_inverse'( 'left_inverse'( identity ) )
% 0.73/1.29 , X ), X ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 566, [ =( X, multiply( 'left_inverse'( 'left_inverse'( identity ) )
% 0.73/1.29 , X ) ) ] )
% 0.73/1.29 , clause( 16, [ =( multiply( 'left_inverse'( 'left_inverse'( identity ) ),
% 0.73/1.29 X ), X ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 568, [ =( 'left_inverse'( identity ), identity ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 566, [ =( X, multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 identity ) ), X ) ) ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, 'left_inverse'( identity ) )] ),
% 0.73/1.29 substitution( 1, [ :=( X, 'left_inverse'( identity ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 18, [ =( 'left_inverse'( identity ), identity ) ] )
% 0.73/1.29 , clause( 568, [ =( 'left_inverse'( identity ), identity ) ] )
% 0.73/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 571, [ =( multiply( X, Y ), multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 identity ) ), Y ) ) ] )
% 0.73/1.29 , clause( 13, [ =( multiply( multiply( X, 'left_inverse'( identity ) ), Y )
% 0.73/1.29 , multiply( X, Y ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 584, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, 'left_inverse'( identity ) ) ) ), X ), Y ), multiply( multiply( X,
% 0.73/1.29 identity ), Y ) ) ] )
% 0.73/1.29 , clause( 6, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, Y ) ) ), X ), Y ), multiply( X, identity ) ) ] )
% 0.73/1.29 , 0, clause( 571, [ =( multiply( X, Y ), multiply( multiply( X,
% 0.73/1.29 'left_inverse'( identity ) ), Y ) ) ] )
% 0.73/1.29 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, 'left_inverse'( identity ) )] )
% 0.73/1.29 , substitution( 1, [ :=( X, multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 multiply( X, 'left_inverse'( identity ) ) ) ), X ) ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 585, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, 'left_inverse'( identity ) ) ) ), X ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 584, [ =( multiply( multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 multiply( X, 'left_inverse'( identity ) ) ) ), X ), Y ), multiply(
% 0.73/1.29 multiply( X, identity ), Y ) ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 586, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, identity ) ) ), X ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , clause( 18, [ =( 'left_inverse'( identity ), identity ) ] )
% 0.73/1.29 , 0, clause( 585, [ =( multiply( multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 multiply( X, 'left_inverse'( identity ) ) ) ), X ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 24, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, identity ) ) ), X ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , clause( 586, [ =( multiply( multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 multiply( X, identity ) ) ), X ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 589, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity ) )
% 0.73/1.29 , multiply( multiply( multiply( 'left_inverse'( X ), Y ), 'left_inverse'(
% 0.73/1.29 X ) ), X ) ) ] )
% 0.73/1.29 , clause( 7, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 594, [ =( multiply( 'left_inverse'( X ), multiply( X, identity ) )
% 0.73/1.29 , multiply( multiply( identity, 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 589, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity
% 0.73/1.29 ) ), multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.29 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 595, [ =( multiply( 'left_inverse'( X ), multiply( X, identity ) )
% 0.73/1.29 , multiply( 'left_inverse'( X ), X ) ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 594, [ =( multiply( 'left_inverse'( X ), multiply( X, identity
% 0.73/1.29 ) ), multiply( multiply( identity, 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.29 , 0, 8, substitution( 0, [ :=( X, 'left_inverse'( X ) )] ), substitution( 1
% 0.73/1.29 , [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 596, [ =( multiply( 'left_inverse'( X ), multiply( X, identity ) )
% 0.73/1.29 , identity ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 595, [ =( multiply( 'left_inverse'( X ), multiply( X, identity
% 0.73/1.29 ) ), multiply( 'left_inverse'( X ), X ) ) ] )
% 0.73/1.29 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 28, [ =( multiply( 'left_inverse'( X ), multiply( X, identity ) ),
% 0.73/1.29 identity ) ] )
% 0.73/1.29 , clause( 596, [ =( multiply( 'left_inverse'( X ), multiply( X, identity )
% 0.73/1.29 ), identity ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 599, [ =( identity, multiply( 'left_inverse'( X ), multiply( X,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , clause( 28, [ =( multiply( 'left_inverse'( X ), multiply( X, identity ) )
% 0.73/1.29 , identity ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 602, [ =( identity, multiply( 'left_inverse'( multiply( multiply( X
% 0.73/1.29 , 'left_inverse'( multiply( X, identity ) ) ), X ) ), multiply( X,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , clause( 24, [ =( multiply( multiply( multiply( X, 'left_inverse'(
% 0.73/1.29 multiply( X, identity ) ) ), X ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , 0, clause( 599, [ =( identity, multiply( 'left_inverse'( X ), multiply( X
% 0.73/1.29 , identity ) ) ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 0.73/1.29 substitution( 1, [ :=( X, multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, identity ) ) ), X ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 603, [ =( multiply( 'left_inverse'( multiply( multiply( X,
% 0.73/1.29 'left_inverse'( multiply( X, identity ) ) ), X ) ), multiply( X, identity
% 0.73/1.29 ) ), identity ) ] )
% 0.73/1.29 , clause( 602, [ =( identity, multiply( 'left_inverse'( multiply( multiply(
% 0.73/1.29 X, 'left_inverse'( multiply( X, identity ) ) ), X ) ), multiply( X,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 30, [ =( multiply( 'left_inverse'( multiply( multiply( X,
% 0.73/1.29 'left_inverse'( multiply( X, identity ) ) ), X ) ), multiply( X, identity
% 0.73/1.29 ) ), identity ) ] )
% 0.73/1.29 , clause( 603, [ =( multiply( 'left_inverse'( multiply( multiply( X,
% 0.73/1.29 'left_inverse'( multiply( X, identity ) ) ), X ) ), multiply( X, identity
% 0.73/1.29 ) ), identity ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 605, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 607, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) ), X
% 0.73/1.29 ), identity ), multiply( X, identity ) ) ] )
% 0.73/1.29 , clause( 28, [ =( multiply( 'left_inverse'( X ), multiply( X, identity ) )
% 0.73/1.29 , identity ) ] )
% 0.73/1.29 , 0, clause( 605, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, 'left_inverse'( X ) ), :=( Z, identity )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 32, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) ), X
% 0.73/1.29 ), identity ), multiply( X, identity ) ) ] )
% 0.73/1.29 , clause( 607, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) )
% 0.73/1.29 , X ), identity ), multiply( X, identity ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 613, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 616, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, identity ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , clause( 28, [ =( multiply( 'left_inverse'( X ), multiply( X, identity ) )
% 0.73/1.29 , identity ) ] )
% 0.73/1.29 , 0, clause( 613, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 17, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) ), :=( Y, Y ), :=( Z, multiply( X, identity ) )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 33, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, identity ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , clause( 616, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y )
% 0.73/1.29 , 'left_inverse'( X ) ), multiply( X, identity ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 621, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 634, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) ), X
% 0.73/1.29 ), Y ), multiply( multiply( X, identity ), Y ) ) ] )
% 0.73/1.29 , clause( 32, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) ),
% 0.73/1.29 X ), identity ), multiply( X, identity ) ) ] )
% 0.73/1.29 , 0, clause( 621, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.73/1.29 , Y ) ) ] )
% 0.73/1.29 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 multiply( multiply( X, 'left_inverse'( X ) ), X ) ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 636, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) ), X
% 0.73/1.29 ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 634, [ =( multiply( multiply( multiply( X, 'left_inverse'( X )
% 0.73/1.29 ), X ), Y ), multiply( multiply( X, identity ), Y ) ) ] )
% 0.73/1.29 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 36, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) ), X
% 0.73/1.29 ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , clause( 636, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) )
% 0.73/1.29 , X ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 638, [ =( multiply( X, Y ), multiply( multiply( multiply( X,
% 0.73/1.29 'left_inverse'( X ) ), X ), Y ) ) ] )
% 0.73/1.29 , clause( 36, [ =( multiply( multiply( multiply( X, 'left_inverse'( X ) ),
% 0.73/1.29 X ), Y ), multiply( X, Y ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 642, [ =( multiply( 'left_inverse'( X ), X ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , clause( 7, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , 0, clause( 638, [ =( multiply( X, Y ), multiply( multiply( multiply( X,
% 0.73/1.29 'left_inverse'( X ) ), X ), Y ) ) ] )
% 0.73/1.29 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) )] ), substitution( 1, [ :=( X, 'left_inverse'( X )
% 0.73/1.29 ), :=( Y, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 643, [ =( identity, multiply( 'left_inverse'( X ), multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), identity ) ) ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 642, [ =( multiply( 'left_inverse'( X ), X ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 644, [ =( multiply( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), identity ) ), identity ) ] )
% 0.73/1.29 , clause( 643, [ =( identity, multiply( 'left_inverse'( X ), multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 37, [ =( multiply( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), identity ) ), identity ) ] )
% 0.73/1.29 , clause( 644, [ =( multiply( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), identity ) ), identity ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 646, [ =( multiply( X, identity ), multiply( multiply( multiply( X
% 0.73/1.29 , 'left_inverse'( multiply( X, Y ) ) ), X ), Y ) ) ] )
% 0.73/1.29 , clause( 6, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, Y ) ) ), X ), Y ), multiply( X, identity ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 648, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( identity ) ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , clause( 37, [ =( multiply( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), identity ) ), identity ) ] )
% 0.73/1.29 , 0, clause( 646, [ =( multiply( X, identity ), multiply( multiply(
% 0.73/1.29 multiply( X, 'left_inverse'( multiply( X, Y ) ) ), X ), Y ) ) ] )
% 0.73/1.29 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) ), :=( Y, multiply( 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ), identity ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 649, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), identity ) ) ) ] )
% 0.73/1.29 , clause( 13, [ =( multiply( multiply( X, 'left_inverse'( identity ) ), Y )
% 0.73/1.29 , multiply( X, Y ) ) ] )
% 0.73/1.29 , 0, clause( 648, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( identity ) ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , 0, 6, substitution( 0, [ :=( X, 'left_inverse'( X ) ), :=( Y,
% 0.73/1.29 'left_inverse'( X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 650, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 X ) ), multiply( 'left_inverse'( 'left_inverse'( X ) ), identity ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), identity ) ) ] )
% 0.73/1.29 , clause( 649, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 38, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X
% 0.73/1.29 ) ), multiply( 'left_inverse'( 'left_inverse'( X ) ), identity ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), identity ) ) ] )
% 0.73/1.29 , clause( 650, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 X ) ), multiply( 'left_inverse'( 'left_inverse'( X ) ), identity ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), identity ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 652, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 655, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ), multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , clause( 38, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 X ) ), multiply( 'left_inverse'( 'left_inverse'( X ) ), identity ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), identity ) ) ] )
% 0.73/1.29 , 0, clause( 652, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), :=( Y, multiply( 'left_inverse'(
% 0.73/1.29 X ), 'left_inverse'( X ) ) ), :=( Z, identity )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 657, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ), identity ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 28, [ =( multiply( 'left_inverse'( X ), multiply( X, identity ) )
% 0.73/1.29 , identity ) ] )
% 0.73/1.29 , 0, clause( 655, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ), multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , 0, 16, substitution( 0, [ :=( X, 'left_inverse'( X ) )] ), substitution(
% 0.73/1.29 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 44, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ), identity ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 657, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ), identity ) ]
% 0.73/1.29 )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 660, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), multiply( X, identity ) ), Z ) ) ] )
% 0.73/1.29 , clause( 10, [ =( multiply( multiply( multiply( X, Y ), multiply( X,
% 0.73/1.29 identity ) ), Z ), multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 667, [ =( multiply( multiply( multiply( multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 identity ), multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ), Y ), multiply( multiply( multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'(
% 0.73/1.29 X ), 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 identity ), identity ), Y ) ) ] )
% 0.73/1.29 , clause( 44, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ), identity ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, clause( 660, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( multiply( multiply( X, Y ), multiply( X, identity ) ), Z ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, 49, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( X ) ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 670, [ =( multiply( multiply( multiply( multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 identity ), multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ), Y ), multiply( multiply( identity, identity )
% 0.73/1.29 , Y ) ) ] )
% 0.73/1.29 , clause( 44, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ), identity ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, clause( 667, [ =( multiply( multiply( multiply( multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 identity ), multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ), Y ), multiply( multiply( multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'(
% 0.73/1.29 X ), 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 identity ), identity ), Y ) ) ] )
% 0.73/1.29 , 0, 34, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 671, [ =( multiply( multiply( identity, multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ),
% 0.73/1.29 multiply( multiply( identity, identity ), Y ) ) ] )
% 0.73/1.29 , clause( 44, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ), identity ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, clause( 670, [ =( multiply( multiply( multiply( multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 identity ), multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ), Y ), multiply( multiply( identity, identity )
% 0.73/1.29 , Y ) ) ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 688, [ =( multiply( multiply( identity, multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ),
% 0.73/1.29 multiply( identity, Y ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 671, [ =( multiply( multiply( identity, multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ),
% 0.73/1.29 multiply( multiply( identity, identity ), Y ) ) ] )
% 0.73/1.29 , 0, 18, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 690, [ =( multiply( multiply( identity, multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ),
% 0.73/1.29 Y ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 688, [ =( multiply( multiply( identity, multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ),
% 0.73/1.29 multiply( identity, Y ) ) ] )
% 0.73/1.29 , 0, 18, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 692, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 690, [ =( multiply( multiply( identity, multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ),
% 0.73/1.29 Y ) ] )
% 0.73/1.29 , 0, 2, substitution( 0, [ :=( X, multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ) )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 48, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , clause( 692, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 694, [ =( Y, multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ) ) ] )
% 0.73/1.29 , clause( 48, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 696, [ =( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ), identity ) ) ) ] )
% 0.73/1.29 , clause( 7, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , 0, clause( 694, [ =( Y, multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ) ) ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, 'left_inverse'( X ) ), :=( Y, multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( X ) ) )] ), substitution( 1, [ :=( X
% 0.73/1.29 , X ), :=( Y, 'left_inverse'( X ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 697, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity ) ),
% 0.73/1.29 'left_inverse'( X ) ) ] )
% 0.73/1.29 , clause( 696, [ =( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ), identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 49, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity ) ),
% 0.73/1.29 'left_inverse'( X ) ) ] )
% 0.73/1.29 , clause( 697, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity
% 0.73/1.29 ) ), 'left_inverse'( X ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 699, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 multiply( multiply( X, multiply( Y, identity ) ), X ), Z ) ) ] )
% 0.73/1.29 , clause( 11, [ =( multiply( multiply( multiply( Y, multiply( X, identity )
% 0.73/1.29 ), Y ), Z ), multiply( multiply( multiply( Y, X ), Y ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 702, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ), multiply( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ) ) ] )
% 0.73/1.29 , clause( 49, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity
% 0.73/1.29 ) ), 'left_inverse'( X ) ) ] )
% 0.73/1.29 , 0, clause( 699, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( multiply( multiply( X, multiply( Y, identity ) ), X ), Z ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, 18, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), :=( Y, multiply( 'left_inverse'(
% 0.73/1.29 X ), 'left_inverse'( X ) ) ), :=( Z, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 703, [ =( Y, multiply( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), Y ) ) ] )
% 0.73/1.29 , clause( 48, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , 0, clause( 702, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( 'left_inverse'( X ), 'left_inverse'( X )
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ), multiply( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ), Y ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 704, [ =( multiply( multiply( 'left_inverse'( Y ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( Y ) ) ), X ), X ) ] )
% 0.73/1.29 , clause( 703, [ =( Y, multiply( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), Y ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 50, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , clause( 704, [ =( multiply( multiply( 'left_inverse'( Y ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( Y ) ) ), X ), X ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 706, [ =( identity, multiply( 'left_inverse'( multiply( multiply( X
% 0.73/1.29 , 'left_inverse'( multiply( X, identity ) ) ), X ) ), multiply( X,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , clause( 30, [ =( multiply( 'left_inverse'( multiply( multiply( X,
% 0.73/1.29 'left_inverse'( multiply( X, identity ) ) ), X ) ), multiply( X, identity
% 0.73/1.29 ) ), identity ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 711, [ =( identity, multiply( 'left_inverse'( multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 'left_inverse'( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ) ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ) ), identity ) ) ] )
% 0.73/1.29 , clause( 50, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , 0, clause( 706, [ =( identity, multiply( 'left_inverse'( multiply(
% 0.73/1.29 multiply( X, 'left_inverse'( multiply( X, identity ) ) ), X ) ), multiply(
% 0.73/1.29 X, identity ) ) ) ] )
% 0.73/1.29 , 0, 27, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 0.73/1.29 substitution( 1, [ :=( X, multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 717, [ =( identity, multiply( 'left_inverse'( multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 'left_inverse'( identity ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ) ), identity ) ) ] )
% 0.73/1.29 , clause( 50, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , 0, clause( 711, [ =( identity, multiply( 'left_inverse'( multiply(
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ) ), 'left_inverse'( multiply( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), identity ) ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ),
% 0.73/1.29 identity ) ) ] )
% 0.73/1.29 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 718, [ =( identity, multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( identity ), multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), identity ) ) ] )
% 0.73/1.29 , clause( 50, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , 0, clause( 717, [ =( identity, multiply( 'left_inverse'( multiply(
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ) ), 'left_inverse'( identity ) ), multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ) ), identity ) ) ] )
% 0.73/1.29 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, 'left_inverse'( identity ) )] )
% 0.73/1.29 , substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 719, [ =( identity, multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), identity
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , clause( 12, [ =( multiply( 'left_inverse'( identity ), X ), X ) ] )
% 0.73/1.29 , 0, clause( 718, [ =( identity, multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( identity ), multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), identity ) ) ] )
% 0.73/1.29 , 0, 4, substitution( 0, [ :=( X, multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) )] ), substitution( 1, [ :=( X, X
% 0.73/1.29 )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 720, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ), identity ), identity ) ] )
% 0.73/1.29 , clause( 719, [ =( identity, multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), identity
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 52, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ), identity ), identity ) ] )
% 0.73/1.29 , clause( 720, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), identity ), identity ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 722, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), multiply( X, identity ) ), Z ) ) ] )
% 0.73/1.29 , clause( 10, [ =( multiply( multiply( multiply( X, Y ), multiply( X,
% 0.73/1.29 identity ) ), Z ), multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 728, [ =( multiply( multiply( multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), identity
% 0.73/1.29 ), 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), Y ), multiply( multiply( multiply(
% 0.73/1.29 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ), identity ), identity ), Y ) ) ] )
% 0.73/1.29 , clause( 52, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), identity ), identity ) ] )
% 0.73/1.29 , 0, clause( 722, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( multiply( multiply( X, Y ), multiply( X, identity ) ), Z ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, 31, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 731, [ =( multiply( multiply( multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), identity
% 0.73/1.29 ), 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), Y ), multiply( multiply( identity, identity
% 0.73/1.29 ), Y ) ) ] )
% 0.73/1.29 , clause( 52, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), identity ), identity ) ] )
% 0.73/1.29 , 0, clause( 728, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 , identity ), 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Y ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ), identity ), identity ), Y ) ) ] )
% 0.73/1.29 , 0, 22, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 732, [ =( multiply( multiply( identity, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Y ),
% 0.73/1.29 multiply( multiply( identity, identity ), Y ) ) ] )
% 0.73/1.29 , clause( 52, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), identity ), identity ) ] )
% 0.73/1.29 , 0, clause( 731, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 , identity ), 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Y ), multiply( multiply(
% 0.73/1.29 identity, identity ), Y ) ) ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 749, [ =( multiply( multiply( identity, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Y ),
% 0.73/1.29 multiply( identity, Y ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 732, [ =( multiply( multiply( identity, 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 ), Y ), multiply( multiply( identity, identity ), Y ) ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 751, [ =( multiply( multiply( identity, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Y ), Y
% 0.73/1.29 ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 749, [ =( multiply( multiply( identity, 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 ), Y ), multiply( identity, Y ) ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 753, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ), Y ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 751, [ =( multiply( multiply( identity, 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 ), Y ), Y ) ] )
% 0.73/1.29 , 0, 2, substitution( 0, [ :=( X, 'left_inverse'( multiply( 'left_inverse'(
% 0.73/1.29 X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 56, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ), Y ) ] )
% 0.73/1.29 , clause( 753, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ), Y ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 756, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), multiply( X, identity ) ), Z ) ) ] )
% 0.73/1.29 , clause( 10, [ =( multiply( multiply( multiply( X, Y ), multiply( X,
% 0.73/1.29 identity ) ), Z ), multiply( multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 762, [ =( multiply( multiply( multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ),
% 0.73/1.29 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), Z ), multiply( multiply( multiply(
% 0.73/1.29 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ), Y ), identity ), Z ) ) ] )
% 0.73/1.29 , clause( 52, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), identity ), identity ) ] )
% 0.73/1.29 , 0, clause( 756, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( multiply( multiply( X, Y ), multiply( X, identity ) ), Z ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, 31, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 767, [ =( multiply( multiply( multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ),
% 0.73/1.29 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), Z ), multiply( multiply( 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 , Y ), Z ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 762, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 , Y ), 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), Z ), multiply( multiply( multiply(
% 0.73/1.29 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ), Y ), identity ), Z ) ) ] )
% 0.73/1.29 , 0, 20, substitution( 0, [ :=( X, multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ) ),
% 0.73/1.29 :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 769, [ =( multiply( multiply( multiply( 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ),
% 0.73/1.29 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), Z ), multiply( Y, Z ) ) ] )
% 0.73/1.29 , clause( 56, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ), Y ) ] )
% 0.73/1.29 , 0, clause( 767, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 , Y ), 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), Z ), multiply( multiply( 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 , Y ), Z ) ) ] )
% 0.73/1.29 , 0, 21, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 770, [ =( multiply( multiply( Y, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Z ),
% 0.73/1.29 multiply( Y, Z ) ) ] )
% 0.73/1.29 , clause( 56, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ), Y ) ] )
% 0.73/1.29 , 0, clause( 769, [ =( multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 , Y ), 'left_inverse'( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ), Z ), multiply( Y, Z ) ) ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 57, [ =( multiply( multiply( Y, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Z ),
% 0.73/1.29 multiply( Y, Z ) ) ] )
% 0.73/1.29 , clause( 770, [ =( multiply( multiply( Y, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Z ),
% 0.73/1.29 multiply( Y, Z ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 775, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity ) )
% 0.73/1.29 , multiply( multiply( multiply( 'left_inverse'( X ), Y ), 'left_inverse'(
% 0.73/1.29 X ) ), X ) ) ] )
% 0.73/1.29 , clause( 7, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 781, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ), multiply( identity, identity )
% 0.73/1.29 ), multiply( multiply( identity, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 ) ] )
% 0.73/1.29 , clause( 52, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), identity ), identity ) ] )
% 0.73/1.29 , 0, clause( 775, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity
% 0.73/1.29 ) ), multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.29 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 , :=( Y, identity )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 782, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ), multiply( identity, identity )
% 0.73/1.29 ), multiply( identity, multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.29 , clause( 57, [ =( multiply( multiply( Y, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ), Z ),
% 0.73/1.29 multiply( Y, Z ) ) ] )
% 0.73/1.29 , 0, clause( 781, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'(
% 0.73/1.29 X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), multiply( identity,
% 0.73/1.29 identity ) ), multiply( multiply( identity, 'left_inverse'( multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 784, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ), multiply( identity, identity )
% 0.73/1.29 ), multiply( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) )
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 782, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'(
% 0.73/1.29 X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), multiply( identity,
% 0.73/1.29 identity ) ), multiply( identity, multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) )] ), substitution( 1, [ :=( X, X
% 0.73/1.29 )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 786, [ =( multiply( identity, identity ), multiply( 'left_inverse'(
% 0.73/1.29 X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 56, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'( X )
% 0.73/1.29 , 'left_inverse'( 'left_inverse'( X ) ) ) ), Y ), Y ) ] )
% 0.73/1.29 , 0, clause( 784, [ =( multiply( 'left_inverse'( multiply( 'left_inverse'(
% 0.73/1.29 X ), 'left_inverse'( 'left_inverse'( X ) ) ) ), multiply( identity,
% 0.73/1.29 identity ) ), multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, multiply( identity, identity
% 0.73/1.29 ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 787, [ =( identity, multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 786, [ =( multiply( identity, identity ), multiply(
% 0.73/1.29 'left_inverse'( X ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.29 X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 788, [ =( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ) ] )
% 0.73/1.29 , clause( 787, [ =( identity, multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 58, [ =( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ) ] )
% 0.73/1.29 , clause( 788, [ =( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 790, [ =( multiply( X, identity ), multiply( multiply( multiply( X
% 0.73/1.29 , 'left_inverse'( multiply( X, Y ) ) ), X ), Y ) ) ] )
% 0.73/1.29 , clause( 6, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.29 X, Y ) ) ), X ), Y ), multiply( X, identity ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 792, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( identity ) ),
% 0.73/1.29 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 58, [ =( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ) ] )
% 0.73/1.29 , 0, clause( 790, [ =( multiply( X, identity ), multiply( multiply(
% 0.73/1.29 multiply( X, 'left_inverse'( multiply( X, Y ) ) ), X ), Y ) ) ] )
% 0.73/1.29 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) ), :=( Y, 'left_inverse'( 'left_inverse'( X ) ) )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 793, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 13, [ =( multiply( multiply( X, 'left_inverse'( identity ) ), Y )
% 0.73/1.29 , multiply( X, Y ) ) ] )
% 0.73/1.29 , 0, clause( 792, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( identity ) ),
% 0.73/1.29 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, 6, substitution( 0, [ :=( X, 'left_inverse'( X ) ), :=( Y,
% 0.73/1.29 'left_inverse'( X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 794, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply( 'left_inverse'(
% 0.73/1.29 X ), identity ) ) ] )
% 0.73/1.29 , clause( 793, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 59, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply( 'left_inverse'(
% 0.73/1.29 X ), identity ) ) ] )
% 0.73/1.29 , clause( 794, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply( 'left_inverse'(
% 0.73/1.29 X ), identity ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 796, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 798, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , clause( 58, [ =( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ) ] )
% 0.73/1.29 , 0, clause( 796, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 17, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) ), :=( Y, Y ), :=( Z, 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 60, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , clause( 798, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y )
% 0.73/1.29 , 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 multiply( 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 802, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity ) )
% 0.73/1.29 , multiply( multiply( multiply( 'left_inverse'( X ), Y ), 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 60, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 807, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity
% 0.73/1.29 ), identity ) ), multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ) ) ) ) ] )
% 0.73/1.29 , clause( 49, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity
% 0.73/1.29 ) ), 'left_inverse'( X ) ) ] )
% 0.73/1.29 , 0, clause( 802, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity
% 0.73/1.29 ) ), multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) ), :=( Y, multiply( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ), identity ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 808, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity
% 0.73/1.29 ), identity ) ), 'left_inverse'( 'left_inverse'( 'left_inverse'( X ) ) )
% 0.73/1.29 ) ] )
% 0.73/1.29 , clause( 50, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), Y ), Y ) ] )
% 0.73/1.29 , 0, clause( 807, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) )
% 0.73/1.29 , identity ), identity ) ), multiply( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), 'left_inverse'( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.29 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, 'left_inverse'(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) )] ), substitution( 1, [ :=( X, X
% 0.73/1.29 )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 809, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity ) ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 808, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) )
% 0.73/1.29 , identity ), identity ) ), 'left_inverse'( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, 5, substitution( 0, [ :=( X, multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ) ), :=( Y, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.29 X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 810, [ =( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 49, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity
% 0.73/1.29 ) ), 'left_inverse'( X ) ) ] )
% 0.73/1.29 , 0, clause( 809, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity
% 0.73/1.29 ) ), 'left_inverse'( 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 811, [ =( 'left_inverse'( 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 'left_inverse'( X ) ) ] )
% 0.73/1.29 , clause( 810, [ =( 'left_inverse'( X ), 'left_inverse'( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 63, [ =( 'left_inverse'( 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 'left_inverse'( X ) ) ] )
% 0.73/1.29 , clause( 811, [ =( 'left_inverse'( 'left_inverse'( 'left_inverse'( X ) ) )
% 0.73/1.29 , 'left_inverse'( X ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 813, [ =( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ), identity ) ) ) ] )
% 0.73/1.29 , clause( 49, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), identity
% 0.73/1.29 ) ), 'left_inverse'( X ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 818, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ) ) ) ] )
% 0.73/1.29 , clause( 63, [ =( 'left_inverse'( 'left_inverse'( 'left_inverse'( X ) ) )
% 0.73/1.29 , 'left_inverse'( X ) ) ] )
% 0.73/1.29 , 0, clause( 813, [ =( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), multiply( multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( X ) ), identity ) ) ) ] )
% 0.73/1.29 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 841, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 818, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 65, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 841, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 843, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity ) )
% 0.73/1.29 , multiply( multiply( multiply( 'left_inverse'( X ), Y ), 'left_inverse'(
% 0.73/1.29 X ) ), X ) ) ] )
% 0.73/1.29 , clause( 7, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.29 identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 849, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.29 , clause( 65, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, clause( 843, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity
% 0.73/1.29 ) ), multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.29 , 0, 17, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), identity ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 850, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( identity, X
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 849, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.29 , 0, 16, substitution( 0, [ :=( X, 'left_inverse'( X ) )] ), substitution(
% 0.73/1.29 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 851, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), X ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 850, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( identity, X
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 852, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), X ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 851, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), X ) ] )
% 0.73/1.29 , 0, 4, substitution( 0, [ :=( X, multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ), :=( Y, identity )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 853, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , clause( 65, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, clause( 852, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), X ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , clause( 853, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 856, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity ) )
% 0.73/1.29 , multiply( multiply( multiply( 'left_inverse'( X ), Y ), 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 60, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 860, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 Y, identity ) ), multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), Y ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 856, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity
% 0.73/1.29 ) ), multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, 19, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 864, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 Y, identity ) ), multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), Y ), X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 860, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( Y, identity ) ), multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), Y ), 'left_inverse'( 'left_inverse'( X ) ) ),
% 0.73/1.29 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 866, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 Y, identity ) ), multiply( multiply( multiply( X, Y ), X ),
% 0.73/1.29 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 864, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( Y, identity ) ), multiply( multiply( multiply( 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ), Y ), X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 867, [ =( multiply( X, multiply( Y, identity ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 866, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 multiply( Y, identity ) ), multiply( multiply( multiply( X, Y ), X ),
% 0.73/1.29 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 880, [ =( multiply( multiply( multiply( X, Y ), X ), 'left_inverse'(
% 0.73/1.29 X ) ), multiply( X, multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , clause( 867, [ =( multiply( X, multiply( Y, identity ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 72, [ =( multiply( multiply( multiply( X, Y ), X ), 'left_inverse'(
% 0.73/1.29 X ) ), multiply( X, multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , clause( 880, [ =( multiply( multiply( multiply( X, Y ), X ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 886, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 59, [ =( multiply( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), multiply( 'left_inverse'(
% 0.73/1.29 X ), identity ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 890, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), identity
% 0.73/1.29 ), multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 886, [ =( multiply( 'left_inverse'( X ), identity ), multiply(
% 0.73/1.29 multiply( 'left_inverse'( X ), 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 894, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), identity
% 0.73/1.29 ), multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ), X ),
% 0.73/1.29 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 890, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 identity ), multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 896, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ), identity
% 0.73/1.29 ), multiply( multiply( X, X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 894, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 identity ), multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ), X
% 0.73/1.29 ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 897, [ =( multiply( X, identity ), multiply( multiply( X, X ),
% 0.73/1.29 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 896, [ =( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 identity ), multiply( multiply( X, X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 910, [ =( multiply( multiply( X, X ), 'left_inverse'( X ) ),
% 0.73/1.29 multiply( X, identity ) ) ] )
% 0.73/1.29 , clause( 897, [ =( multiply( X, identity ), multiply( multiply( X, X ),
% 0.73/1.29 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 75, [ =( multiply( multiply( X, X ), 'left_inverse'( X ) ),
% 0.73/1.29 multiply( X, identity ) ) ] )
% 0.73/1.29 , clause( 910, [ =( multiply( multiply( X, X ), 'left_inverse'( X ) ),
% 0.73/1.29 multiply( X, identity ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 916, [ =( identity, multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , clause( 58, [ =( multiply( 'left_inverse'( X ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 918, [ =( identity, multiply( 'left_inverse'( 'left_inverse'( X ) )
% 0.73/1.29 , 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 916, [ =( identity, multiply( 'left_inverse'( X ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.29 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 'left_inverse'( X ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 920, [ =( identity, multiply( X, 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 918, [ =( identity, multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 922, [ =( multiply( X, 'left_inverse'( X ) ), identity ) ] )
% 0.73/1.29 , clause( 920, [ =( identity, multiply( X, 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 76, [ =( multiply( X, 'left_inverse'( X ) ), identity ) ] )
% 0.73/1.29 , clause( 922, [ =( multiply( X, 'left_inverse'( X ) ), identity ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 926, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity ) )
% 0.73/1.29 , multiply( multiply( multiply( 'left_inverse'( X ), Y ), 'left_inverse'(
% 0.73/1.29 X ) ), multiply( X, identity ) ) ) ] )
% 0.73/1.29 , clause( 33, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, identity ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 933, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( X ) ), multiply( X
% 0.73/1.29 , identity ) ) ) ] )
% 0.73/1.29 , clause( 65, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, clause( 926, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity
% 0.73/1.29 ) ), multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, identity ) ) ) ] )
% 0.73/1.29 , 0, 17, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, multiply( multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ), identity ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 934, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( identity,
% 0.73/1.29 multiply( X, identity ) ) ) ] )
% 0.73/1.29 , clause( 1, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.73/1.29 , 0, clause( 933, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( X ) ), multiply( X
% 0.73/1.29 , identity ) ) ) ] )
% 0.73/1.29 , 0, 16, substitution( 0, [ :=( X, 'left_inverse'( X ) )] ), substitution(
% 0.73/1.29 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 935, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( X, identity
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 934, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( identity,
% 0.73/1.29 multiply( X, identity ) ) ) ] )
% 0.73/1.29 , 0, 15, substitution( 0, [ :=( X, multiply( X, identity ) )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 936, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), multiply( X, identity ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 935, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 multiply( 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.29 'left_inverse'( X ) ) ), identity ), identity ) ), multiply( X, identity
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , 0, 4, substitution( 0, [ :=( X, multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ), :=( Y, identity )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 937, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply( X,
% 0.73/1.29 identity ) ) ] )
% 0.73/1.29 , clause( 65, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, clause( 936, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), multiply( X, identity ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 938, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 937, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply( X,
% 0.73/1.29 identity ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 939, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.29 , clause( 938, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.29 , clause( 939, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 941, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ) ) ) ] )
% 0.73/1.29 , clause( 65, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ), 'left_inverse'( 'left_inverse'( X
% 0.73/1.29 ) ) ), identity ) ), 'left_inverse'( 'left_inverse'( X ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 943, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.29 , clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.29 , 0, clause( 941, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ), identity ) ) ) ] )
% 0.73/1.29 , 0, 7, substitution( 0, [ :=( X, multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.29 X ) ), 'left_inverse'( 'left_inverse'( X ) ) ) )] ), substitution( 1, [
% 0.73/1.29 :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 946, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( 'left_inverse'( 'left_inverse'( X ) ), X )
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 943, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( 'left_inverse'( 'left_inverse'( X ) ),
% 0.73/1.29 'left_inverse'( 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.29 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 948, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( X, X ) ) ) ] )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 946, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( 'left_inverse'( 'left_inverse'( X ) ), X )
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 949, [ =( X, multiply( 'left_inverse'( X ), multiply( X, X ) ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.29 , 0, clause( 948, [ =( 'left_inverse'( 'left_inverse'( X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), multiply( X, X ) ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 955, [ =( multiply( 'left_inverse'( X ), multiply( X, X ) ), X ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 949, [ =( X, multiply( 'left_inverse'( X ), multiply( X, X ) ) )
% 0.73/1.29 ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 93, [ =( multiply( 'left_inverse'( X ), multiply( X, X ) ), X ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 955, [ =( multiply( 'left_inverse'( X ), multiply( X, X ) ), X )
% 0.73/1.29 ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 959, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.29 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.29 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 964, [ =( multiply( multiply( multiply( X, Y ), X ), identity ),
% 0.73/1.29 multiply( X, multiply( Y, X ) ) ) ] )
% 0.73/1.29 , clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.29 , 0, clause( 959, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.29 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.29 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y ), :=( Z, identity )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 966, [ =( multiply( multiply( X, Y ), X ), multiply( X, multiply( Y
% 0.73/1.29 , X ) ) ) ] )
% 0.73/1.29 , clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.29 , 0, clause( 964, [ =( multiply( multiply( multiply( X, Y ), X ), identity
% 0.73/1.29 ), multiply( X, multiply( Y, X ) ) ) ] )
% 0.73/1.29 , 0, 1, substitution( 0, [ :=( X, multiply( multiply( X, Y ), X ) )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 967, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X, Y
% 0.73/1.29 ), X ) ) ] )
% 0.73/1.29 , clause( 966, [ =( multiply( multiply( X, Y ), X ), multiply( X, multiply(
% 0.73/1.29 Y, X ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 96, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X, Y
% 0.73/1.29 ), X ) ) ] )
% 0.73/1.29 , clause( 967, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X
% 0.73/1.29 , Y ), X ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 969, [ =( multiply( multiply( multiply( X, Y ), X ), multiply( Y, Z
% 0.73/1.29 ) ), multiply( X, multiply( multiply( multiply( Y, X ), Y ), Z ) ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 4, [ =( multiply( Y, multiply( multiply( multiply( X, Y ), X ), Z
% 0.73/1.29 ) ), multiply( multiply( multiply( Y, X ), Y ), multiply( X, Z ) ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 977, [ =( multiply( multiply( multiply( multiply( X, X ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, X ) ), multiply( 'left_inverse'( X )
% 0.73/1.29 , Y ) ), multiply( multiply( X, X ), multiply( multiply( X,
% 0.73/1.29 'left_inverse'( X ) ), Y ) ) ) ] )
% 0.73/1.29 , clause( 93, [ =( multiply( 'left_inverse'( X ), multiply( X, X ) ), X ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, clause( 969, [ =( multiply( multiply( multiply( X, Y ), X ), multiply(
% 0.73/1.29 Y, Z ) ), multiply( X, multiply( multiply( multiply( Y, X ), Y ), Z ) ) )
% 0.73/1.29 ] )
% 0.73/1.29 , 0, 22, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.29 multiply( X, X ) ), :=( Y, 'left_inverse'( X ) ), :=( Z, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 978, [ =( multiply( multiply( multiply( multiply( X, X ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, X ) ), multiply( 'left_inverse'( X )
% 0.73/1.29 , Y ) ), multiply( multiply( X, X ), multiply( identity, Y ) ) ) ] )
% 0.73/1.29 , clause( 76, [ =( multiply( X, 'left_inverse'( X ) ), identity ) ] )
% 0.73/1.29 , 0, clause( 977, [ =( multiply( multiply( multiply( multiply( X, X ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, X ) ), multiply( 'left_inverse'( X )
% 0.73/1.29 , Y ) ), multiply( multiply( X, X ), multiply( multiply( X,
% 0.73/1.29 'left_inverse'( X ) ), Y ) ) ) ] )
% 0.73/1.29 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 979, [ =( multiply( multiply( multiply( multiply( X, X ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, X ) ), multiply( 'left_inverse'( X )
% 0.73/1.29 , Y ) ), multiply( multiply( X, X ), Y ) ) ] )
% 0.73/1.29 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.29 , 0, clause( 978, [ =( multiply( multiply( multiply( multiply( X, X ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, X ) ), multiply( 'left_inverse'( X )
% 0.73/1.29 , Y ) ), multiply( multiply( X, X ), multiply( identity, Y ) ) ) ] )
% 0.73/1.29 , 0, 20, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 980, [ =( multiply( multiply( multiply( X, identity ), multiply( X
% 0.73/1.29 , X ) ), multiply( 'left_inverse'( X ), Y ) ), multiply( multiply( X, X )
% 0.73/1.29 , Y ) ) ] )
% 0.73/1.29 , clause( 75, [ =( multiply( multiply( X, X ), 'left_inverse'( X ) ),
% 0.73/1.29 multiply( X, identity ) ) ] )
% 0.73/1.29 , 0, clause( 979, [ =( multiply( multiply( multiply( multiply( X, X ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, X ) ), multiply( 'left_inverse'( X )
% 0.73/1.29 , Y ) ), multiply( multiply( X, X ), Y ) ) ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.29 :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 981, [ =( multiply( multiply( X, multiply( X, X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), Y ) ), multiply( multiply( X, X ), Y ) ) ] )
% 0.73/1.29 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.29 ) ] )
% 0.73/1.29 , 0, clause( 980, [ =( multiply( multiply( multiply( X, identity ),
% 0.73/1.29 multiply( X, X ) ), multiply( 'left_inverse'( X ), Y ) ), multiply(
% 0.73/1.29 multiply( X, X ), Y ) ) ] )
% 0.73/1.29 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, X ) )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 982, [ =( multiply( multiply( multiply( X, X ), X ), multiply(
% 0.73/1.29 'left_inverse'( X ), Y ) ), multiply( multiply( X, X ), Y ) ) ] )
% 0.73/1.29 , clause( 96, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X,
% 0.73/1.29 Y ), X ) ) ] )
% 0.73/1.29 , 0, clause( 981, [ =( multiply( multiply( X, multiply( X, X ) ), multiply(
% 0.73/1.29 'left_inverse'( X ), Y ) ), multiply( multiply( X, X ), Y ) ) ] )
% 0.73/1.29 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.29 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 101, [ =( multiply( multiply( multiply( X, X ), X ), multiply(
% 0.73/1.29 'left_inverse'( X ), Y ) ), multiply( multiply( X, X ), Y ) ) ] )
% 0.73/1.29 , clause( 982, [ =( multiply( multiply( multiply( X, X ), X ), multiply(
% 0.73/1.29 'left_inverse'( X ), Y ) ), multiply( multiply( X, X ), Y ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 985, [ ~( =( multiply( multiply( multiply( a, b ), c ), b ),
% 0.73/1.29 multiply( a, multiply( b, multiply( c, b ) ) ) ) ) ] )
% 0.73/1.29 , clause( 3, [ ~( =( multiply( a, multiply( b, multiply( c, b ) ) ),
% 0.73/1.29 multiply( multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 986, [ ~( =( multiply( multiply( multiply( a, b ), c ), b ),
% 0.73/1.29 multiply( a, multiply( multiply( b, c ), b ) ) ) ) ] )
% 0.73/1.29 , clause( 96, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X,
% 0.73/1.29 Y ), X ) ) ] )
% 0.73/1.29 , 0, clause( 985, [ ~( =( multiply( multiply( multiply( a, b ), c ), b ),
% 0.73/1.29 multiply( a, multiply( b, multiply( c, b ) ) ) ) ) ] )
% 0.73/1.29 , 0, 11, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 987, [ ~( =( multiply( a, multiply( multiply( b, c ), b ) ),
% 0.73/1.29 multiply( multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.29 , clause( 986, [ ~( =( multiply( multiply( multiply( a, b ), c ), b ),
% 0.73/1.29 multiply( a, multiply( multiply( b, c ), b ) ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 112, [ ~( =( multiply( a, multiply( multiply( b, c ), b ) ),
% 0.73/1.29 multiply( multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.29 , clause( 987, [ ~( =( multiply( a, multiply( multiply( b, c ), b ) ),
% 0.73/1.29 multiply( multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 990, [ =( multiply( multiply( multiply( X, Y ), X ), 'left_inverse'(
% 0.73/1.29 X ) ), multiply( X, Y ) ) ] )
% 0.73/1.29 , clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.29 , 0, clause( 72, [ =( multiply( multiply( multiply( X, Y ), X ),
% 0.73/1.29 'left_inverse'( X ) ), multiply( X, multiply( Y, identity ) ) ) ] )
% 0.73/1.30 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 114, [ =( multiply( multiply( multiply( X, Y ), X ), 'left_inverse'(
% 0.73/1.30 X ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , clause( 990, [ =( multiply( multiply( multiply( X, Y ), X ),
% 0.73/1.30 'left_inverse'( X ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 993, [ =( multiply( multiply( X, Y ), X ), multiply( X, multiply( Y
% 0.73/1.30 , X ) ) ) ] )
% 0.73/1.30 , clause( 96, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X,
% 0.73/1.30 Y ), X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1001, [ =( multiply( multiply( 'left_inverse'( X ), multiply(
% 0.73/1.30 multiply( X, Y ), X ) ), 'left_inverse'( X ) ), multiply( 'left_inverse'(
% 0.73/1.30 X ), multiply( X, Y ) ) ) ] )
% 0.73/1.30 , clause( 114, [ =( multiply( multiply( multiply( X, Y ), X ),
% 0.73/1.30 'left_inverse'( X ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , 0, clause( 993, [ =( multiply( multiply( X, Y ), X ), multiply( X,
% 0.73/1.30 multiply( Y, X ) ) ) ] )
% 0.73/1.30 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, 'left_inverse'( X ) ), :=( Y, multiply( multiply( X, Y ), X ) )] )
% 0.73/1.30 ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 115, [ =( multiply( multiply( 'left_inverse'( X ), multiply(
% 0.73/1.30 multiply( X, Y ), X ) ), 'left_inverse'( X ) ), multiply( 'left_inverse'(
% 0.73/1.30 X ), multiply( X, Y ) ) ) ] )
% 0.73/1.30 , clause( 1001, [ =( multiply( multiply( 'left_inverse'( X ), multiply(
% 0.73/1.30 multiply( X, Y ), X ) ), 'left_inverse'( X ) ), multiply( 'left_inverse'(
% 0.73/1.30 X ), multiply( X, Y ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1005, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.30 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.30 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.30 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1014, [ =( multiply( multiply( multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, X ), X ) ), 'left_inverse'( X ) ), Y ), multiply(
% 0.73/1.30 'left_inverse'( X ), multiply( multiply( X, X ), Y ) ) ) ] )
% 0.73/1.30 , clause( 101, [ =( multiply( multiply( multiply( X, X ), X ), multiply(
% 0.73/1.30 'left_inverse'( X ), Y ) ), multiply( multiply( X, X ), Y ) ) ] )
% 0.73/1.30 , 0, clause( 1005, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.30 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.30 , 0, 17, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, 'left_inverse'( X ) ), :=( Y, multiply( multiply( X, X ), X ) ),
% 0.73/1.30 :=( Z, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1016, [ =( multiply( multiply( 'left_inverse'( X ), multiply( X, X
% 0.73/1.30 ) ), Y ), multiply( 'left_inverse'( X ), multiply( multiply( X, X ), Y )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , clause( 115, [ =( multiply( multiply( 'left_inverse'( X ), multiply(
% 0.73/1.30 multiply( X, Y ), X ) ), 'left_inverse'( X ) ), multiply( 'left_inverse'(
% 0.73/1.30 X ), multiply( X, Y ) ) ) ] )
% 0.73/1.30 , 0, clause( 1014, [ =( multiply( multiply( multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, X ), X ) ), 'left_inverse'( X ) ), Y ), multiply(
% 0.73/1.30 'left_inverse'( X ), multiply( multiply( X, X ), Y ) ) ) ] )
% 0.73/1.30 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1017, [ =( multiply( X, Y ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, X ), Y ) ) ) ] )
% 0.73/1.30 , clause( 93, [ =( multiply( 'left_inverse'( X ), multiply( X, X ) ), X ) ]
% 0.73/1.30 )
% 0.73/1.30 , 0, clause( 1016, [ =( multiply( multiply( 'left_inverse'( X ), multiply(
% 0.73/1.30 X, X ) ), Y ), multiply( 'left_inverse'( X ), multiply( multiply( X, X )
% 0.73/1.30 , Y ) ) ) ] )
% 0.73/1.30 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1018, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, X
% 0.73/1.30 ), Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , clause( 1017, [ =( multiply( X, Y ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, X ), Y ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 121, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, X )
% 0.73/1.30 , Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , clause( 1018, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X,
% 0.73/1.30 X ), Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1019, [ =( multiply( X, Y ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, X ), Y ) ) ) ] )
% 0.73/1.30 , clause( 121, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, X
% 0.73/1.30 ), Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1025, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( multiply( multiply( 'left_inverse'( X ), multiply( X, X ) ),
% 0.73/1.30 'left_inverse'( X ) ), Y ) ) ] )
% 0.73/1.30 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.30 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.30 , 0, clause( 1019, [ =( multiply( X, Y ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, X ), Y ) ) ) ] )
% 0.73/1.30 , 0, 7, substitution( 0, [ :=( X, 'left_inverse'( X ) ), :=( Y, multiply( X
% 0.73/1.30 , X ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply(
% 0.73/1.30 'left_inverse'( X ), Y ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1027, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( multiply( X, 'left_inverse'( X ) ), Y ) ) ] )
% 0.73/1.30 , clause( 93, [ =( multiply( 'left_inverse'( X ), multiply( X, X ) ), X ) ]
% 0.73/1.30 )
% 0.73/1.30 , 0, clause( 1025, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( multiply( multiply( 'left_inverse'( X ), multiply( X, X ) ),
% 0.73/1.30 'left_inverse'( X ) ), Y ) ) ] )
% 0.73/1.30 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1028, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( identity, Y ) ) ] )
% 0.73/1.30 , clause( 76, [ =( multiply( X, 'left_inverse'( X ) ), identity ) ] )
% 0.73/1.30 , 0, clause( 1027, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( multiply( X, 'left_inverse'( X ) ), Y ) ) ] )
% 0.73/1.30 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1029, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.30 , 0, clause( 1028, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( identity, Y ) ) ] )
% 0.73/1.30 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 1029, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1032, [ =( multiply( X, Y ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, X ), Y ) ) ) ] )
% 0.73/1.30 , clause( 121, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, X
% 0.73/1.30 ), Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1036, [ =( multiply( X, multiply( 'left_inverse'( multiply( X, X )
% 0.73/1.30 ), Y ) ), multiply( 'left_inverse'( X ), Y ) ) ] )
% 0.73/1.30 , clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1032, [ =( multiply( X, Y ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, X ), Y ) ) ) ] )
% 0.73/1.30 , 0, 12, substitution( 0, [ :=( X, multiply( X, X ) ), :=( Y, Y )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, multiply( 'left_inverse'( multiply(
% 0.73/1.30 X, X ) ), Y ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 129, [ =( multiply( X, multiply( 'left_inverse'( multiply( X, X ) )
% 0.73/1.30 , Y ) ), multiply( 'left_inverse'( X ), Y ) ) ] )
% 0.73/1.30 , clause( 1036, [ =( multiply( X, multiply( 'left_inverse'( multiply( X, X
% 0.73/1.30 ) ), Y ) ), multiply( 'left_inverse'( X ), Y ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1040, [ =( multiply( X, Y ), multiply( multiply( multiply( X, Y ),
% 0.73/1.30 X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , clause( 114, [ =( multiply( multiply( multiply( X, Y ), X ),
% 0.73/1.30 'left_inverse'( X ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1042, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( multiply( Y, X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1040, [ =( multiply( X, Y ), multiply( multiply( multiply( X,
% 0.73/1.30 Y ), X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, multiply( 'left_inverse'( X ), Y ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1043, [ =( Y, multiply( multiply( Y, X ), 'left_inverse'( X ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1042, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( multiply( Y, X ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1045, [ =( multiply( multiply( X, Y ), 'left_inverse'( Y ) ), X ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 1043, [ =( Y, multiply( multiply( Y, X ), 'left_inverse'( X ) ) )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 130, [ =( multiply( multiply( Y, X ), 'left_inverse'( X ) ), Y ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 1045, [ =( multiply( multiply( X, Y ), 'left_inverse'( Y ) ), X )
% 0.73/1.30 ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1048, [ =( multiply( 'left_inverse'( X ), multiply( Y, identity ) )
% 0.73/1.30 , multiply( multiply( multiply( 'left_inverse'( X ), Y ), 'left_inverse'(
% 0.73/1.30 X ) ), multiply( X, identity ) ) ) ] )
% 0.73/1.30 , clause( 33, [ =( multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.30 'left_inverse'( X ) ), multiply( X, identity ) ), multiply(
% 0.73/1.30 'left_inverse'( X ), multiply( Y, identity ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1053, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.30 'left_inverse'( 'left_inverse'( X ) ), Y ), identity ) ), multiply(
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ), multiply( X, identity ) ) ) ] )
% 0.73/1.30 , clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1048, [ =( multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.30 identity ) ), multiply( multiply( multiply( 'left_inverse'( X ), Y ),
% 0.73/1.30 'left_inverse'( X ) ), multiply( X, identity ) ) ) ] )
% 0.73/1.30 , 0, 13, substitution( 0, [ :=( X, 'left_inverse'( X ) ), :=( Y, Y )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, multiply( 'left_inverse'(
% 0.73/1.30 'left_inverse'( X ) ), Y ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1055, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.30 'left_inverse'( 'left_inverse'( X ) ), Y ), identity ) ), multiply(
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.30 , clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.30 , 0, clause( 1053, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.30 'left_inverse'( 'left_inverse'( X ) ), Y ), identity ) ), multiply(
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ), multiply( X, identity ) ) ) ] )
% 0.73/1.30 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1057, [ =( multiply( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.30 'left_inverse'( X ) ), Y ) ), multiply( multiply( Y, 'left_inverse'( X )
% 0.73/1.30 ), X ) ) ] )
% 0.73/1.30 , clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.30 , 0, clause( 1055, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.30 'left_inverse'( 'left_inverse'( X ) ), Y ), identity ) ), multiply(
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.30 , 0, 4, substitution( 0, [ :=( X, multiply( 'left_inverse'( 'left_inverse'(
% 0.73/1.30 X ) ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1058, [ =( Y, multiply( multiply( Y, 'left_inverse'( X ) ), X ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1057, [ =( multiply( 'left_inverse'( X ), multiply(
% 0.73/1.30 'left_inverse'( 'left_inverse'( X ) ), Y ) ), multiply( multiply( Y,
% 0.73/1.30 'left_inverse'( X ) ), X ) ) ] )
% 0.73/1.30 , 0, 1, substitution( 0, [ :=( X, 'left_inverse'( X ) ), :=( Y, Y )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1059, [ =( multiply( multiply( X, 'left_inverse'( Y ) ), Y ), X ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 1058, [ =( Y, multiply( multiply( Y, 'left_inverse'( X ) ), X ) )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 133, [ =( multiply( multiply( Y, 'left_inverse'( X ) ), X ), Y ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 1059, [ =( multiply( multiply( X, 'left_inverse'( Y ) ), Y ), X )
% 0.73/1.30 ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1061, [ =( Y, multiply( X, multiply( 'left_inverse'( X ), Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1062, [ =( X, multiply( 'left_inverse'( Y ), multiply( Y, X ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.30 , 0, clause( 1061, [ =( Y, multiply( X, multiply( 'left_inverse'( X ), Y )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.73/1.30 'left_inverse'( Y ) ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1063, [ =( multiply( 'left_inverse'( Y ), multiply( Y, X ) ), X ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 1062, [ =( X, multiply( 'left_inverse'( Y ), multiply( Y, X ) ) )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 1063, [ =( multiply( 'left_inverse'( Y ), multiply( Y, X ) ), X )
% 0.73/1.30 ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1065, [ =( multiply( multiply( multiply( X, Y ), X ), Z ), multiply(
% 0.73/1.30 X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.30 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.30 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1074, [ =( multiply( multiply( multiply( X, Y ), X ), multiply(
% 0.73/1.30 'left_inverse'( X ), Z ) ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.73/1.30 , clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1065, [ =( multiply( multiply( multiply( X, Y ), X ), Z ),
% 0.73/1.30 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.73/1.30 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, Y ), :=( Z, multiply( 'left_inverse'( X ), Z ) )] )
% 0.73/1.30 ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 139, [ =( multiply( multiply( multiply( X, Z ), X ), multiply(
% 0.73/1.30 'left_inverse'( X ), Y ) ), multiply( X, multiply( Z, Y ) ) ) ] )
% 0.73/1.30 , clause( 1074, [ =( multiply( multiply( multiply( X, Y ), X ), multiply(
% 0.73/1.30 'left_inverse'( X ), Z ) ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1081, [ =( X, multiply( multiply( X, Y ), 'left_inverse'( Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 130, [ =( multiply( multiply( Y, X ), 'left_inverse'( X ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1086, [ =( multiply( multiply( X, 'left_inverse'( multiply( X, Y )
% 0.73/1.30 ) ), X ), multiply( multiply( X, identity ), 'left_inverse'( Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 6, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.30 X, Y ) ) ), X ), Y ), multiply( X, identity ) ) ] )
% 0.73/1.30 , 0, clause( 1081, [ =( X, multiply( multiply( X, Y ), 'left_inverse'( Y )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, multiply( multiply( X, 'left_inverse'( multiply( X, Y ) ) ), X ) )
% 0.73/1.30 , :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1087, [ =( multiply( multiply( X, 'left_inverse'( multiply( X, Y )
% 0.73/1.30 ) ), X ), multiply( X, 'left_inverse'( Y ) ) ) ] )
% 0.73/1.30 , clause( 8, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.30 ) ] )
% 0.73/1.30 , 0, clause( 1086, [ =( multiply( multiply( X, 'left_inverse'( multiply( X
% 0.73/1.30 , Y ) ) ), X ), multiply( multiply( X, identity ), 'left_inverse'( Y ) )
% 0.73/1.30 ) ] )
% 0.73/1.30 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, 'left_inverse'( Y ) )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 153, [ =( multiply( multiply( X, 'left_inverse'( multiply( X, Y ) )
% 0.73/1.30 ), X ), multiply( X, 'left_inverse'( Y ) ) ) ] )
% 0.73/1.30 , clause( 1087, [ =( multiply( multiply( X, 'left_inverse'( multiply( X, Y
% 0.73/1.30 ) ) ), X ), multiply( X, 'left_inverse'( Y ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1090, [ =( X, multiply( multiply( X, Y ), 'left_inverse'( Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 130, [ =( multiply( multiply( Y, X ), 'left_inverse'( X ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1093, [ =( 'left_inverse'( X ), multiply( Y, 'left_inverse'(
% 0.73/1.30 multiply( X, Y ) ) ) ) ] )
% 0.73/1.30 , clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1090, [ =( X, multiply( multiply( X, Y ), 'left_inverse'( Y )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, 'left_inverse'( X ) ), :=( Y, multiply( X, Y ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1094, [ =( multiply( Y, 'left_inverse'( multiply( X, Y ) ) ),
% 0.73/1.30 'left_inverse'( X ) ) ] )
% 0.73/1.30 , clause( 1093, [ =( 'left_inverse'( X ), multiply( Y, 'left_inverse'(
% 0.73/1.30 multiply( X, Y ) ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 157, [ =( multiply( Y, 'left_inverse'( multiply( X, Y ) ) ),
% 0.73/1.30 'left_inverse'( X ) ) ] )
% 0.73/1.30 , clause( 1094, [ =( multiply( Y, 'left_inverse'( multiply( X, Y ) ) ),
% 0.73/1.30 'left_inverse'( X ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1096, [ =( Y, multiply( 'left_inverse'( X ), multiply( X, Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1099, [ =( 'left_inverse'( X ), multiply( 'left_inverse'( multiply(
% 0.73/1.30 Y, X ) ), Y ) ) ] )
% 0.73/1.30 , clause( 130, [ =( multiply( multiply( Y, X ), 'left_inverse'( X ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1096, [ =( Y, multiply( 'left_inverse'( X ), multiply( X, Y )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, multiply( Y, X ) ), :=( Y, 'left_inverse'( X ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1100, [ =( multiply( 'left_inverse'( multiply( Y, X ) ), Y ),
% 0.73/1.30 'left_inverse'( X ) ) ] )
% 0.73/1.30 , clause( 1099, [ =( 'left_inverse'( X ), multiply( 'left_inverse'(
% 0.73/1.30 multiply( Y, X ) ), Y ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 158, [ =( multiply( 'left_inverse'( multiply( X, Y ) ), X ),
% 0.73/1.30 'left_inverse'( Y ) ) ] )
% 0.73/1.30 , clause( 1100, [ =( multiply( 'left_inverse'( multiply( Y, X ) ), Y ),
% 0.73/1.30 'left_inverse'( X ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1102, [ =( Y, multiply( 'left_inverse'( X ), multiply( X, Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1110, [ =( multiply( X, Y ), multiply( 'left_inverse'( Y ),
% 0.73/1.30 multiply( multiply( Y, X ), Y ) ) ) ] )
% 0.73/1.30 , clause( 96, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X,
% 0.73/1.30 Y ), X ) ) ] )
% 0.73/1.30 , 0, clause( 1102, [ =( Y, multiply( 'left_inverse'( X ), multiply( X, Y )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.30 :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1112, [ =( multiply( 'left_inverse'( Y ), multiply( multiply( Y, X
% 0.73/1.30 ), Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , clause( 1110, [ =( multiply( X, Y ), multiply( 'left_inverse'( Y ),
% 0.73/1.30 multiply( multiply( Y, X ), Y ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 164, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, Y )
% 0.73/1.30 , X ) ), multiply( Y, X ) ) ] )
% 0.73/1.30 , clause( 1112, [ =( multiply( 'left_inverse'( Y ), multiply( multiply( Y,
% 0.73/1.30 X ), Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1114, [ =( Y, multiply( 'left_inverse'( X ), multiply( X, Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1124, [ =( multiply( X, multiply( Y, Z ) ), multiply(
% 0.73/1.30 'left_inverse'( Y ), multiply( multiply( multiply( Y, X ), Y ), Z ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 2, [ =( multiply( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.73/1.30 multiply( multiply( X, Y ), X ), Z ) ) ] )
% 0.73/1.30 , 0, clause( 1114, [ =( Y, multiply( 'left_inverse'( X ), multiply( X, Y )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.30 substitution( 1, [ :=( X, Y ), :=( Y, multiply( X, multiply( Y, Z ) ) )] )
% 0.73/1.30 ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1126, [ =( multiply( 'left_inverse'( Y ), multiply( multiply(
% 0.73/1.30 multiply( Y, X ), Y ), Z ) ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.73/1.30 , clause( 1124, [ =( multiply( X, multiply( Y, Z ) ), multiply(
% 0.73/1.30 'left_inverse'( Y ), multiply( multiply( multiply( Y, X ), Y ), Z ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 170, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.30 multiply( X, Y ), X ), Z ) ), multiply( Y, multiply( X, Z ) ) ) ] )
% 0.73/1.30 , clause( 1126, [ =( multiply( 'left_inverse'( Y ), multiply( multiply(
% 0.73/1.30 multiply( Y, X ), Y ), Z ) ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1128, [ =( 'left_inverse'( Y ), multiply( X, 'left_inverse'(
% 0.73/1.30 multiply( Y, X ) ) ) ) ] )
% 0.73/1.30 , clause( 157, [ =( multiply( Y, 'left_inverse'( multiply( X, Y ) ) ),
% 0.73/1.30 'left_inverse'( X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1131, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , clause( 133, [ =( multiply( multiply( Y, 'left_inverse'( X ) ), X ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1128, [ =( 'left_inverse'( Y ), multiply( X, 'left_inverse'(
% 0.73/1.30 multiply( Y, X ) ) ) ) ] )
% 0.73/1.30 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.30 :=( X, Y ), :=( Y, multiply( X, 'left_inverse'( Y ) ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 175, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , clause( 1131, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1134, [ =( X, multiply( multiply( X, 'left_inverse'( Y ) ), Y ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 133, [ =( multiply( multiply( Y, 'left_inverse'( X ) ), X ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1137, [ =( 'left_inverse'( multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( 'left_inverse'( Y ), X ) ) ] )
% 0.73/1.30 , clause( 158, [ =( multiply( 'left_inverse'( multiply( X, Y ) ), X ),
% 0.73/1.30 'left_inverse'( Y ) ) ] )
% 0.73/1.30 , 0, clause( 1134, [ =( X, multiply( multiply( X, 'left_inverse'( Y ) ), Y
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, 7, substitution( 0, [ :=( X, 'left_inverse'( X ) ), :=( Y, Y )] ),
% 0.73/1.30 substitution( 1, [ :=( X, 'left_inverse'( multiply( 'left_inverse'( X ),
% 0.73/1.30 Y ) ) ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 190, [ =( 'left_inverse'( multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( 'left_inverse'( Y ), X ) ) ] )
% 0.73/1.30 , clause( 1137, [ =( 'left_inverse'( multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( 'left_inverse'( Y ), X ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1139, [ =( multiply( Y, 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.30 multiply( X, 'left_inverse'( Y ) ) ) ) ] )
% 0.73/1.30 , clause( 175, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1143, [ =( multiply( multiply( X, 'left_inverse'( Y ) ),
% 0.73/1.30 'left_inverse'( Z ) ), 'left_inverse'( multiply( Z, multiply( Y,
% 0.73/1.30 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.30 , clause( 175, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, clause( 1139, [ =( multiply( Y, 'left_inverse'( X ) ), 'left_inverse'(
% 0.73/1.30 multiply( X, 'left_inverse'( Y ) ) ) ) ] )
% 0.73/1.30 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, Z ), :=( Y, multiply( X, 'left_inverse'( Y ) ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 218, [ =( multiply( multiply( X, 'left_inverse'( Y ) ),
% 0.73/1.30 'left_inverse'( Z ) ), 'left_inverse'( multiply( Z, multiply( Y,
% 0.73/1.30 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.30 , clause( 1143, [ =( multiply( multiply( X, 'left_inverse'( Y ) ),
% 0.73/1.30 'left_inverse'( Z ) ), 'left_inverse'( multiply( Z, multiply( Y,
% 0.73/1.30 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1150, [ =( multiply( 'left_inverse'( Y ), X ), 'left_inverse'(
% 0.73/1.30 multiply( 'left_inverse'( X ), Y ) ) ) ] )
% 0.73/1.30 , clause( 190, [ =( 'left_inverse'( multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( 'left_inverse'( Y ), X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1159, [ =( multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.30 'left_inverse'( Z ) ) ), 'left_inverse'( multiply( multiply( Z,
% 0.73/1.30 'left_inverse'( Y ) ), X ) ) ) ] )
% 0.73/1.30 , clause( 175, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, clause( 1150, [ =( multiply( 'left_inverse'( Y ), X ), 'left_inverse'(
% 0.73/1.30 multiply( 'left_inverse'( X ), Y ) ) ) ] )
% 0.73/1.30 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.73/1.30 :=( X, multiply( Y, 'left_inverse'( Z ) ) ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 219, [ =( multiply( 'left_inverse'( Z ), multiply( X,
% 0.73/1.30 'left_inverse'( Y ) ) ), 'left_inverse'( multiply( multiply( Y,
% 0.73/1.30 'left_inverse'( X ) ), Z ) ) ) ] )
% 0.73/1.30 , clause( 1159, [ =( multiply( 'left_inverse'( X ), multiply( Y,
% 0.73/1.30 'left_inverse'( Z ) ) ), 'left_inverse'( multiply( multiply( Z,
% 0.73/1.30 'left_inverse'( Y ) ), X ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1164, [ =( X, multiply( multiply( X, 'left_inverse'( Y ) ), Y ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 133, [ =( multiply( multiply( Y, 'left_inverse'( X ) ), X ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1169, [ =( X, multiply( multiply( X, multiply( Z, 'left_inverse'( Y
% 0.73/1.30 ) ) ), multiply( Y, 'left_inverse'( Z ) ) ) ) ] )
% 0.73/1.30 , clause( 175, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, clause( 1164, [ =( X, multiply( multiply( X, 'left_inverse'( Y ) ), Y
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, multiply( Y, 'left_inverse'( Z ) ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1170, [ =( multiply( multiply( X, multiply( Y, 'left_inverse'( Z )
% 0.73/1.30 ) ), multiply( Z, 'left_inverse'( Y ) ) ), X ) ] )
% 0.73/1.30 , clause( 1169, [ =( X, multiply( multiply( X, multiply( Z, 'left_inverse'(
% 0.73/1.30 Y ) ) ), multiply( Y, 'left_inverse'( Z ) ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 220, [ =( multiply( multiply( Z, multiply( Y, 'left_inverse'( X ) )
% 0.73/1.30 ), multiply( X, 'left_inverse'( Y ) ) ), Z ) ] )
% 0.73/1.30 , clause( 1170, [ =( multiply( multiply( X, multiply( Y, 'left_inverse'( Z
% 0.73/1.30 ) ) ), multiply( Z, 'left_inverse'( Y ) ) ), X ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1172, [ =( multiply( Y, X ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, Y ), X ) ) ) ] )
% 0.73/1.30 , clause( 164, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, Y
% 0.73/1.30 ), X ) ), multiply( Y, X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1178, [ =( multiply( multiply( X, Y ), 'left_inverse'( X ) ),
% 0.73/1.30 multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply( Y,
% 0.73/1.30 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.30 , clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1172, [ =( multiply( Y, X ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, Y ), X ) ) ) ] )
% 0.73/1.30 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, 'left_inverse'( X ) ), :=( Y, multiply( X, Y ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1179, [ =( multiply( multiply( X, Y ), 'left_inverse'( X ) ),
% 0.73/1.30 'left_inverse'( multiply( multiply( X, 'left_inverse'( Y ) ),
% 0.73/1.30 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.30 , clause( 219, [ =( multiply( 'left_inverse'( Z ), multiply( X,
% 0.73/1.30 'left_inverse'( Y ) ) ), 'left_inverse'( multiply( multiply( Y,
% 0.73/1.30 'left_inverse'( X ) ), Z ) ) ) ] )
% 0.73/1.30 , 0, clause( 1178, [ =( multiply( multiply( X, Y ), 'left_inverse'( X ) ),
% 0.73/1.30 multiply( 'left_inverse'( 'left_inverse'( X ) ), multiply( Y,
% 0.73/1.30 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.30 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, 'left_inverse'( X
% 0.73/1.30 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1180, [ =( multiply( multiply( X, Y ), 'left_inverse'( X ) ),
% 0.73/1.30 multiply( X, 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 175, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, clause( 1179, [ =( multiply( multiply( X, Y ), 'left_inverse'( X ) ),
% 0.73/1.30 'left_inverse'( multiply( multiply( X, 'left_inverse'( Y ) ),
% 0.73/1.30 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.30 , 0, 7, substitution( 0, [ :=( X, multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1182, [ =( multiply( multiply( X, Y ), 'left_inverse'( X ) ),
% 0.73/1.30 multiply( X, multiply( Y, 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.30 , clause( 175, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, clause( 1180, [ =( multiply( multiply( X, Y ), 'left_inverse'( X ) ),
% 0.73/1.30 multiply( X, 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1183, [ =( multiply( X, multiply( Y, 'left_inverse'( X ) ) ),
% 0.73/1.30 multiply( multiply( X, Y ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , clause( 1182, [ =( multiply( multiply( X, Y ), 'left_inverse'( X ) ),
% 0.73/1.30 multiply( X, multiply( Y, 'left_inverse'( X ) ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 229, [ =( multiply( X, multiply( Y, 'left_inverse'( X ) ) ),
% 0.73/1.30 multiply( multiply( X, Y ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , clause( 1183, [ =( multiply( X, multiply( Y, 'left_inverse'( X ) ) ),
% 0.73/1.30 multiply( multiply( X, Y ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1185, [ =( multiply( Y, X ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, Y ), X ) ) ) ] )
% 0.73/1.30 , clause( 164, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, Y
% 0.73/1.30 ), X ) ), multiply( Y, X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1192, [ =( multiply( multiply( X, Y ), Y ), multiply(
% 0.73/1.30 'left_inverse'( Y ), multiply( multiply( multiply( Y, X ), Y ), Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 96, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X,
% 0.73/1.30 Y ), X ) ) ] )
% 0.73/1.30 , 0, clause( 1185, [ =( multiply( Y, X ), multiply( 'left_inverse'( X ),
% 0.73/1.30 multiply( multiply( X, Y ), X ) ) ) ] )
% 0.73/1.30 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.30 :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1193, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.73/1.30 Y, Y ) ) ) ] )
% 0.73/1.30 , clause( 170, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.30 multiply( X, Y ), X ), Z ) ), multiply( Y, multiply( X, Z ) ) ) ] )
% 0.73/1.30 , 0, clause( 1192, [ =( multiply( multiply( X, Y ), Y ), multiply(
% 0.73/1.30 'left_inverse'( Y ), multiply( multiply( multiply( Y, X ), Y ), Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1194, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X,
% 0.73/1.30 Y ), Y ) ) ] )
% 0.73/1.30 , clause( 1193, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.73/1.30 Y, Y ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 233, [ =( multiply( Y, multiply( X, X ) ), multiply( multiply( Y, X
% 0.73/1.30 ), X ) ) ] )
% 0.73/1.30 , clause( 1194, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X
% 0.73/1.30 , Y ), Y ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1195, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.73/1.30 Y, Y ) ) ) ] )
% 0.73/1.30 , clause( 233, [ =( multiply( Y, multiply( X, X ) ), multiply( multiply( Y
% 0.73/1.30 , X ), X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1198, [ =( multiply( multiply( multiply( X, 'left_inverse'(
% 0.73/1.30 multiply( Y, Y ) ) ), Y ), Y ), X ) ] )
% 0.73/1.30 , clause( 133, [ =( multiply( multiply( Y, 'left_inverse'( X ) ), X ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1195, [ =( multiply( multiply( X, Y ), Y ), multiply( X,
% 0.73/1.30 multiply( Y, Y ) ) ) ] )
% 0.73/1.30 , 0, 11, substitution( 0, [ :=( X, multiply( Y, Y ) ), :=( Y, X )] ),
% 0.73/1.30 substitution( 1, [ :=( X, multiply( X, 'left_inverse'( multiply( Y, Y ) )
% 0.73/1.30 ) ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 239, [ =( multiply( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.30 Y, Y ) ) ), Y ), Y ), X ) ] )
% 0.73/1.30 , clause( 1198, [ =( multiply( multiply( multiply( X, 'left_inverse'(
% 0.73/1.30 multiply( Y, Y ) ) ), Y ), Y ), X ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1202, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.73/1.30 multiply( X, Y ), X ), multiply( 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , clause( 139, [ =( multiply( multiply( multiply( X, Z ), X ), multiply(
% 0.73/1.30 'left_inverse'( X ), Y ) ), multiply( X, multiply( Z, Y ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1207, [ =( multiply( X, multiply( 'left_inverse'( multiply( X, Y )
% 0.73/1.30 ), Z ) ), multiply( multiply( X, 'left_inverse'( Y ) ), multiply(
% 0.73/1.30 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , clause( 153, [ =( multiply( multiply( X, 'left_inverse'( multiply( X, Y )
% 0.73/1.30 ) ), X ), multiply( X, 'left_inverse'( Y ) ) ) ] )
% 0.73/1.30 , 0, clause( 1202, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.73/1.30 multiply( X, Y ), X ), multiply( 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, 'left_inverse'( multiply( X, Y ) ) ), :=( Z, Z )] )
% 0.73/1.30 ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1211, [ =( multiply( multiply( X, 'left_inverse'( Y ) ), multiply(
% 0.73/1.30 'left_inverse'( X ), Z ) ), multiply( X, multiply( 'left_inverse'(
% 0.73/1.30 multiply( X, Y ) ), Z ) ) ) ] )
% 0.73/1.30 , clause( 1207, [ =( multiply( X, multiply( 'left_inverse'( multiply( X, Y
% 0.73/1.30 ) ), Z ) ), multiply( multiply( X, 'left_inverse'( Y ) ), multiply(
% 0.73/1.30 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 391, [ =( multiply( multiply( X, 'left_inverse'( Y ) ), multiply(
% 0.73/1.30 'left_inverse'( X ), Z ) ), multiply( X, multiply( 'left_inverse'(
% 0.73/1.30 multiply( X, Y ) ), Z ) ) ) ] )
% 0.73/1.30 , clause( 1211, [ =( multiply( multiply( X, 'left_inverse'( Y ) ), multiply(
% 0.73/1.30 'left_inverse'( X ), Z ) ), multiply( X, multiply( 'left_inverse'(
% 0.73/1.30 multiply( X, Y ) ), Z ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1214, [ =( X, multiply( multiply( X, multiply( Y, 'left_inverse'( Z
% 0.73/1.30 ) ) ), multiply( Z, 'left_inverse'( Y ) ) ) ) ] )
% 0.73/1.30 , clause( 220, [ =( multiply( multiply( Z, multiply( Y, 'left_inverse'( X )
% 0.73/1.30 ) ), multiply( X, 'left_inverse'( Y ) ) ), Z ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1220, [ =( multiply( multiply( X, Y ), X ), multiply( multiply( X,
% 0.73/1.30 multiply( Y, 'left_inverse'( Z ) ) ), multiply( Z, 'left_inverse'(
% 0.73/1.30 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.30 , clause( 139, [ =( multiply( multiply( multiply( X, Z ), X ), multiply(
% 0.73/1.30 'left_inverse'( X ), Y ) ), multiply( X, multiply( Z, Y ) ) ) ] )
% 0.73/1.30 , 0, clause( 1214, [ =( X, multiply( multiply( X, multiply( Y,
% 0.73/1.30 'left_inverse'( Z ) ) ), multiply( Z, 'left_inverse'( Y ) ) ) ) ] )
% 0.73/1.30 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, 'left_inverse'( Z ) ), :=( Z
% 0.73/1.30 , Y )] ), substitution( 1, [ :=( X, multiply( multiply( X, Y ), X ) ),
% 0.73/1.30 :=( Y, 'left_inverse'( X ) ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1221, [ =( multiply( multiply( X, Y ), X ), multiply( multiply( X,
% 0.73/1.30 multiply( Y, 'left_inverse'( Z ) ) ), multiply( Z, X ) ) ) ] )
% 0.73/1.30 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.30 , 0, clause( 1220, [ =( multiply( multiply( X, Y ), X ), multiply( multiply(
% 0.73/1.30 X, multiply( Y, 'left_inverse'( Z ) ) ), multiply( Z, 'left_inverse'(
% 0.73/1.30 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.30 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1222, [ =( multiply( multiply( X, multiply( Y, 'left_inverse'( Z )
% 0.73/1.30 ) ), multiply( Z, X ) ), multiply( multiply( X, Y ), X ) ) ] )
% 0.73/1.30 , clause( 1221, [ =( multiply( multiply( X, Y ), X ), multiply( multiply( X
% 0.73/1.30 , multiply( Y, 'left_inverse'( Z ) ) ), multiply( Z, X ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 393, [ =( multiply( multiply( X, multiply( Y, 'left_inverse'( Z ) )
% 0.73/1.30 ), multiply( Z, X ) ), multiply( multiply( X, Y ), X ) ) ] )
% 0.73/1.30 , clause( 1222, [ =( multiply( multiply( X, multiply( Y, 'left_inverse'( Z
% 0.73/1.30 ) ) ), multiply( Z, X ) ), multiply( multiply( X, Y ), X ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1224, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.73/1.30 multiply( X, Y ), X ), multiply( 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , clause( 139, [ =( multiply( multiply( multiply( X, Z ), X ), multiply(
% 0.73/1.30 'left_inverse'( X ), Y ) ), multiply( X, multiply( Z, Y ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1231, [ =( multiply( X, multiply( multiply( Y, 'left_inverse'( X )
% 0.73/1.30 ), Z ) ), multiply( multiply( multiply( multiply( X, Y ), 'left_inverse'(
% 0.73/1.30 X ) ), X ), multiply( 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , clause( 229, [ =( multiply( X, multiply( Y, 'left_inverse'( X ) ) ),
% 0.73/1.30 multiply( multiply( X, Y ), 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, clause( 1224, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.73/1.30 multiply( X, Y ), X ), multiply( 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, multiply( Y, 'left_inverse'( X ) ) ), :=( Z, Z )] )
% 0.73/1.30 ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1233, [ =( multiply( X, multiply( multiply( Y, 'left_inverse'( X )
% 0.73/1.30 ), Z ) ), multiply( multiply( X, Y ), multiply( 'left_inverse'( X ), Z )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , clause( 133, [ =( multiply( multiply( Y, 'left_inverse'( X ) ), X ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1231, [ =( multiply( X, multiply( multiply( Y, 'left_inverse'(
% 0.73/1.30 X ) ), Z ) ), multiply( multiply( multiply( multiply( X, Y ),
% 0.73/1.30 'left_inverse'( X ) ), X ), multiply( 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 395, [ =( multiply( X, multiply( multiply( Y, 'left_inverse'( X ) )
% 0.73/1.30 , Z ) ), multiply( multiply( X, Y ), multiply( 'left_inverse'( X ), Z ) )
% 0.73/1.30 ) ] )
% 0.73/1.30 , clause( 1233, [ =( multiply( X, multiply( multiply( Y, 'left_inverse'( X
% 0.73/1.30 ) ), Z ) ), multiply( multiply( X, Y ), multiply( 'left_inverse'( X ), Z
% 0.73/1.30 ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1236, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.73/1.30 multiply( X, Y ), X ), multiply( 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , clause( 139, [ =( multiply( multiply( multiply( X, Z ), X ), multiply(
% 0.73/1.30 'left_inverse'( X ), Y ) ), multiply( X, multiply( Z, Y ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1241, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, Y
% 0.73/1.30 ), Z ) ), multiply( multiply( Y, 'left_inverse'( X ) ), multiply(
% 0.73/1.30 'left_inverse'( 'left_inverse'( X ) ), Z ) ) ) ] )
% 0.73/1.30 , clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1236, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.73/1.30 multiply( X, Y ), X ), multiply( 'left_inverse'( X ), Z ) ) ) ] )
% 0.73/1.30 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, 'left_inverse'( X ) ), :=( Y, multiply( X, Y ) ), :=( Z, Z )] )
% 0.73/1.30 ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1243, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, Y
% 0.73/1.30 ), Z ) ), multiply( multiply( Y, 'left_inverse'( X ) ), multiply( X, Z )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.30 , 0, clause( 1241, [ =( multiply( 'left_inverse'( X ), multiply( multiply(
% 0.73/1.30 X, Y ), Z ) ), multiply( multiply( Y, 'left_inverse'( X ) ), multiply(
% 0.73/1.30 'left_inverse'( 'left_inverse'( X ) ), Z ) ) ) ] )
% 0.73/1.30 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 398, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, Y )
% 0.73/1.30 , Z ) ), multiply( multiply( Y, 'left_inverse'( X ) ), multiply( X, Z ) )
% 0.73/1.30 ) ] )
% 0.73/1.30 , clause( 1243, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X,
% 0.73/1.30 Y ), Z ) ), multiply( multiply( Y, 'left_inverse'( X ) ), multiply( X, Z
% 0.73/1.30 ) ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1246, [ =( multiply( multiply( X, Y ), X ), multiply( multiply( X,
% 0.73/1.30 multiply( Y, 'left_inverse'( Z ) ) ), multiply( Z, X ) ) ) ] )
% 0.73/1.30 , clause( 393, [ =( multiply( multiply( X, multiply( Y, 'left_inverse'( Z )
% 0.73/1.30 ) ), multiply( Z, X ) ), multiply( multiply( X, Y ), X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1255, [ =( multiply( multiply( X, multiply( multiply( Y,
% 0.73/1.30 'left_inverse'( multiply( 'left_inverse'( Z ), 'left_inverse'( Z ) ) ) )
% 0.73/1.30 , 'left_inverse'( Z ) ) ), X ), multiply( multiply( X, Y ), multiply( Z,
% 0.73/1.30 X ) ) ) ] )
% 0.73/1.30 , clause( 239, [ =( multiply( multiply( multiply( X, 'left_inverse'(
% 0.73/1.30 multiply( Y, Y ) ) ), Y ), Y ), X ) ] )
% 0.73/1.30 , 0, clause( 1246, [ =( multiply( multiply( X, Y ), X ), multiply( multiply(
% 0.73/1.30 X, multiply( Y, 'left_inverse'( Z ) ) ), multiply( Z, X ) ) ) ] )
% 0.73/1.30 , 0, 19, substitution( 0, [ :=( X, Y ), :=( Y, 'left_inverse'( Z ) )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, multiply( multiply( Y,
% 0.73/1.30 'left_inverse'( multiply( 'left_inverse'( Z ), 'left_inverse'( Z ) ) ) )
% 0.73/1.30 , 'left_inverse'( Z ) ) ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1257, [ =( multiply( multiply( X, 'left_inverse'( multiply( Z,
% 0.73/1.30 multiply( multiply( 'left_inverse'( Z ), 'left_inverse'( Z ) ),
% 0.73/1.30 'left_inverse'( Y ) ) ) ) ), X ), multiply( multiply( X, Y ), multiply( Z
% 0.73/1.30 , X ) ) ) ] )
% 0.73/1.30 , clause( 218, [ =( multiply( multiply( X, 'left_inverse'( Y ) ),
% 0.73/1.30 'left_inverse'( Z ) ), 'left_inverse'( multiply( Z, multiply( Y,
% 0.73/1.30 'left_inverse'( X ) ) ) ) ) ] )
% 0.73/1.30 , 0, clause( 1255, [ =( multiply( multiply( X, multiply( multiply( Y,
% 0.73/1.30 'left_inverse'( multiply( 'left_inverse'( Z ), 'left_inverse'( Z ) ) ) )
% 0.73/1.30 , 'left_inverse'( Z ) ) ), X ), multiply( multiply( X, Y ), multiply( Z,
% 0.73/1.30 X ) ) ) ] )
% 0.73/1.30 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, multiply( 'left_inverse'( Z )
% 0.73/1.30 , 'left_inverse'( Z ) ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1259, [ =( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.30 multiply( Y, 'left_inverse'( Y ) ), multiply( 'left_inverse'( Y ),
% 0.73/1.30 'left_inverse'( Z ) ) ) ) ), X ), multiply( multiply( X, Z ), multiply( Y
% 0.73/1.30 , X ) ) ) ] )
% 0.73/1.30 , clause( 395, [ =( multiply( X, multiply( multiply( Y, 'left_inverse'( X )
% 0.73/1.30 ), Z ) ), multiply( multiply( X, Y ), multiply( 'left_inverse'( X ), Z )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, clause( 1257, [ =( multiply( multiply( X, 'left_inverse'( multiply( Z
% 0.73/1.30 , multiply( multiply( 'left_inverse'( Z ), 'left_inverse'( Z ) ),
% 0.73/1.30 'left_inverse'( Y ) ) ) ) ), X ), multiply( multiply( X, Y ), multiply( Z
% 0.73/1.30 , X ) ) ) ] )
% 0.73/1.30 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, 'left_inverse'( Y ) ), :=( Z
% 0.73/1.30 , 'left_inverse'( Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ),
% 0.73/1.30 :=( Z, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1260, [ =( multiply( multiply( X, 'left_inverse'( multiply( Y,
% 0.73/1.30 multiply( 'left_inverse'( multiply( Y, Y ) ), 'left_inverse'( Z ) ) ) ) )
% 0.73/1.30 , X ), multiply( multiply( X, Z ), multiply( Y, X ) ) ) ] )
% 0.73/1.30 , clause( 391, [ =( multiply( multiply( X, 'left_inverse'( Y ) ), multiply(
% 0.73/1.30 'left_inverse'( X ), Z ) ), multiply( X, multiply( 'left_inverse'(
% 0.73/1.30 multiply( X, Y ) ), Z ) ) ) ] )
% 0.73/1.30 , 0, clause( 1259, [ =( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.30 multiply( Y, 'left_inverse'( Y ) ), multiply( 'left_inverse'( Y ),
% 0.73/1.30 'left_inverse'( Z ) ) ) ) ), X ), multiply( multiply( X, Z ), multiply( Y
% 0.73/1.30 , X ) ) ) ] )
% 0.73/1.30 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, 'left_inverse'( Z
% 0.73/1.30 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1261, [ =( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.30 'left_inverse'( Y ), 'left_inverse'( Z ) ) ) ), X ), multiply( multiply(
% 0.73/1.30 X, Z ), multiply( Y, X ) ) ) ] )
% 0.73/1.30 , clause( 129, [ =( multiply( X, multiply( 'left_inverse'( multiply( X, X )
% 0.73/1.30 ), Y ) ), multiply( 'left_inverse'( X ), Y ) ) ] )
% 0.73/1.30 , 0, clause( 1260, [ =( multiply( multiply( X, 'left_inverse'( multiply( Y
% 0.73/1.30 , multiply( 'left_inverse'( multiply( Y, Y ) ), 'left_inverse'( Z ) ) ) )
% 0.73/1.30 ), X ), multiply( multiply( X, Z ), multiply( Y, X ) ) ) ] )
% 0.73/1.30 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, 'left_inverse'( Z ) )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1262, [ =( multiply( multiply( X, multiply( 'left_inverse'(
% 0.73/1.30 'left_inverse'( Z ) ), Y ) ), X ), multiply( multiply( X, Z ), multiply(
% 0.73/1.30 Y, X ) ) ) ] )
% 0.73/1.30 , clause( 190, [ =( 'left_inverse'( multiply( 'left_inverse'( X ), Y ) ),
% 0.73/1.30 multiply( 'left_inverse'( Y ), X ) ) ] )
% 0.73/1.30 , 0, clause( 1261, [ =( multiply( multiply( X, 'left_inverse'( multiply(
% 0.73/1.30 'left_inverse'( Y ), 'left_inverse'( Z ) ) ) ), X ), multiply( multiply(
% 0.73/1.30 X, Z ), multiply( Y, X ) ) ) ] )
% 0.73/1.30 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, 'left_inverse'( Z ) )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1263, [ =( multiply( multiply( X, multiply( Y, Z ) ), X ), multiply(
% 0.73/1.30 multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.73/1.30 , clause( 68, [ =( 'left_inverse'( 'left_inverse'( X ) ), X ) ] )
% 0.73/1.30 , 0, clause( 1262, [ =( multiply( multiply( X, multiply( 'left_inverse'(
% 0.73/1.30 'left_inverse'( Z ) ), Y ) ), X ), multiply( multiply( X, Z ), multiply(
% 0.73/1.30 Y, X ) ) ) ] )
% 0.73/1.30 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.30 :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1264, [ =( multiply( multiply( X, Y ), multiply( Z, X ) ), multiply(
% 0.73/1.30 multiply( X, multiply( Y, Z ) ), X ) ) ] )
% 0.73/1.30 , clause( 1263, [ =( multiply( multiply( X, multiply( Y, Z ) ), X ),
% 0.73/1.30 multiply( multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 424, [ =( multiply( multiply( Z, X ), multiply( Y, Z ) ), multiply(
% 0.73/1.30 multiply( Z, multiply( X, Y ) ), Z ) ) ] )
% 0.73/1.30 , clause( 1264, [ =( multiply( multiply( X, Y ), multiply( Z, X ) ),
% 0.73/1.30 multiply( multiply( X, multiply( Y, Z ) ), X ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1266, [ =( Y, multiply( 'left_inverse'( X ), multiply( X, Y ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1275, [ =( multiply( X, Y ), multiply( 'left_inverse'( multiply( Y
% 0.73/1.30 , Z ) ), multiply( multiply( Y, multiply( Z, X ) ), Y ) ) ) ] )
% 0.73/1.30 , clause( 424, [ =( multiply( multiply( Z, X ), multiply( Y, Z ) ),
% 0.73/1.30 multiply( multiply( Z, multiply( X, Y ) ), Z ) ) ] )
% 0.73/1.30 , 0, clause( 1266, [ =( Y, multiply( 'left_inverse'( X ), multiply( X, Y )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.30 substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, multiply( X, Y ) )] )
% 0.73/1.30 ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1276, [ =( multiply( 'left_inverse'( multiply( Y, Z ) ), multiply(
% 0.73/1.30 multiply( Y, multiply( Z, X ) ), Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , clause( 1275, [ =( multiply( X, Y ), multiply( 'left_inverse'( multiply(
% 0.73/1.30 Y, Z ) ), multiply( multiply( Y, multiply( Z, X ) ), Y ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 432, [ =( multiply( 'left_inverse'( multiply( X, Y ) ), multiply(
% 0.73/1.30 multiply( X, multiply( Y, Z ) ), X ) ), multiply( Z, X ) ) ] )
% 0.73/1.30 , clause( 1276, [ =( multiply( 'left_inverse'( multiply( Y, Z ) ), multiply(
% 0.73/1.30 multiply( Y, multiply( Z, X ) ), Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1278, [ =( multiply( Z, X ), multiply( 'left_inverse'( multiply( X
% 0.73/1.30 , Y ) ), multiply( multiply( X, multiply( Y, Z ) ), X ) ) ) ] )
% 0.73/1.30 , clause( 432, [ =( multiply( 'left_inverse'( multiply( X, Y ) ), multiply(
% 0.73/1.30 multiply( X, multiply( Y, Z ) ), X ) ), multiply( Z, X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1284, [ =( multiply( multiply( X, Y ), Z ), multiply(
% 0.73/1.30 'left_inverse'( multiply( Z, 'left_inverse'( X ) ) ), multiply( multiply(
% 0.73/1.30 Z, Y ), Z ) ) ) ] )
% 0.73/1.30 , clause( 134, [ =( multiply( 'left_inverse'( X ), multiply( X, Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1278, [ =( multiply( Z, X ), multiply( 'left_inverse'(
% 0.73/1.30 multiply( X, Y ) ), multiply( multiply( X, multiply( Y, Z ) ), X ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, Z ), :=( Y, 'left_inverse'( X ) ), :=( Z, multiply( X, Y ) )] )
% 0.73/1.30 ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1285, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( X,
% 0.73/1.30 'left_inverse'( Z ) ), multiply( multiply( Z, Y ), Z ) ) ) ] )
% 0.73/1.30 , clause( 175, [ =( 'left_inverse'( multiply( X, 'left_inverse'( Y ) ) ),
% 0.73/1.30 multiply( Y, 'left_inverse'( X ) ) ) ] )
% 0.73/1.30 , 0, clause( 1284, [ =( multiply( multiply( X, Y ), Z ), multiply(
% 0.73/1.30 'left_inverse'( multiply( Z, 'left_inverse'( X ) ) ), multiply( multiply(
% 0.73/1.30 Z, Y ), Z ) ) ) ] )
% 0.73/1.30 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1286, [ =( multiply( multiply( X, 'left_inverse'( Z ) ), multiply(
% 0.73/1.30 multiply( Z, Y ), Z ) ), multiply( multiply( X, Y ), Z ) ) ] )
% 0.73/1.30 , clause( 1285, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( X
% 0.73/1.30 , 'left_inverse'( Z ) ), multiply( multiply( Z, Y ), Z ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 438, [ =( multiply( multiply( X, 'left_inverse'( Z ) ), multiply(
% 0.73/1.30 multiply( Z, Y ), Z ) ), multiply( multiply( X, Y ), Z ) ) ] )
% 0.73/1.30 , clause( 1286, [ =( multiply( multiply( X, 'left_inverse'( Z ) ), multiply(
% 0.73/1.30 multiply( Z, Y ), Z ) ), multiply( multiply( X, Y ), Z ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1288, [ =( multiply( Z, X ), multiply( 'left_inverse'( multiply( X
% 0.73/1.30 , Y ) ), multiply( multiply( X, multiply( Y, Z ) ), X ) ) ) ] )
% 0.73/1.30 , clause( 432, [ =( multiply( 'left_inverse'( multiply( X, Y ) ), multiply(
% 0.73/1.30 multiply( X, multiply( Y, Z ) ), X ) ), multiply( Z, X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1294, [ =( multiply( multiply( 'left_inverse'( X ), Y ), Z ),
% 0.73/1.30 multiply( 'left_inverse'( multiply( Z, X ) ), multiply( multiply( Z, Y )
% 0.73/1.30 , Z ) ) ) ] )
% 0.73/1.30 , clause( 128, [ =( multiply( X, multiply( 'left_inverse'( X ), Y ) ), Y )
% 0.73/1.30 ] )
% 0.73/1.30 , 0, clause( 1288, [ =( multiply( Z, X ), multiply( 'left_inverse'(
% 0.73/1.30 multiply( X, Y ) ), multiply( multiply( X, multiply( Y, Z ) ), X ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, Z ), :=( Y, X ), :=( Z, multiply( 'left_inverse'( X ), Y ) )] )
% 0.73/1.30 ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1298, [ =( multiply( 'left_inverse'( multiply( Z, X ) ), multiply(
% 0.73/1.30 multiply( Z, Y ), Z ) ), multiply( multiply( 'left_inverse'( X ), Y ), Z
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , clause( 1294, [ =( multiply( multiply( 'left_inverse'( X ), Y ), Z ),
% 0.73/1.30 multiply( 'left_inverse'( multiply( Z, X ) ), multiply( multiply( Z, Y )
% 0.73/1.30 , Z ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 439, [ =( multiply( 'left_inverse'( multiply( Z, X ) ), multiply(
% 0.73/1.30 multiply( Z, Y ), Z ) ), multiply( multiply( 'left_inverse'( X ), Y ), Z
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , clause( 1298, [ =( multiply( 'left_inverse'( multiply( Z, X ) ), multiply(
% 0.73/1.30 multiply( Z, Y ), Z ) ), multiply( multiply( 'left_inverse'( X ), Y ), Z
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1300, [ =( multiply( Z, X ), multiply( 'left_inverse'( multiply( X
% 0.73/1.30 , Y ) ), multiply( multiply( X, multiply( Y, Z ) ), X ) ) ) ] )
% 0.73/1.30 , clause( 432, [ =( multiply( 'left_inverse'( multiply( X, Y ) ), multiply(
% 0.73/1.30 multiply( X, multiply( Y, Z ) ), X ) ), multiply( Z, X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1311, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ), multiply(
% 0.73/1.30 'left_inverse'( multiply( Y, Z ) ), multiply( multiply( multiply(
% 0.73/1.30 multiply( Y, Z ), Y ), multiply( 'left_inverse'( Y ), X ) ), multiply(
% 0.73/1.30 multiply( Y, Z ), Y ) ) ) ) ] )
% 0.73/1.30 , clause( 114, [ =( multiply( multiply( multiply( X, Y ), X ),
% 0.73/1.30 'left_inverse'( X ) ), multiply( X, Y ) ) ] )
% 0.73/1.30 , 0, clause( 1300, [ =( multiply( Z, X ), multiply( 'left_inverse'(
% 0.73/1.30 multiply( X, Y ) ), multiply( multiply( X, multiply( Y, Z ) ), X ) ) ) ]
% 0.73/1.30 )
% 0.73/1.30 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.73/1.30 :=( X, multiply( multiply( Y, Z ), Y ) ), :=( Y, 'left_inverse'( Y ) ),
% 0.73/1.30 :=( Z, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1313, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ), multiply(
% 0.73/1.30 'left_inverse'( multiply( Y, Z ) ), multiply( multiply( Y, multiply( Z, X
% 0.73/1.30 ) ), multiply( multiply( Y, Z ), Y ) ) ) ) ] )
% 0.73/1.30 , clause( 139, [ =( multiply( multiply( multiply( X, Z ), X ), multiply(
% 0.73/1.30 'left_inverse'( X ), Y ) ), multiply( X, multiply( Z, Y ) ) ) ] )
% 0.73/1.30 , 0, clause( 1311, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ),
% 0.73/1.30 multiply( 'left_inverse'( multiply( Y, Z ) ), multiply( multiply(
% 0.73/1.30 multiply( multiply( Y, Z ), Y ), multiply( 'left_inverse'( Y ), X ) ),
% 0.73/1.30 multiply( multiply( Y, Z ), Y ) ) ) ) ] )
% 0.73/1.30 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1314, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ), multiply(
% 0.73/1.30 'left_inverse'( multiply( Y, Z ) ), multiply( multiply( Y, multiply(
% 0.73/1.30 multiply( Z, X ), multiply( Y, Z ) ) ), Y ) ) ) ] )
% 0.73/1.30 , clause( 424, [ =( multiply( multiply( Z, X ), multiply( Y, Z ) ),
% 0.73/1.30 multiply( multiply( Z, multiply( X, Y ) ), Z ) ) ] )
% 0.73/1.30 , 0, clause( 1313, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ),
% 0.73/1.30 multiply( 'left_inverse'( multiply( Y, Z ) ), multiply( multiply( Y,
% 0.73/1.30 multiply( Z, X ) ), multiply( multiply( Y, Z ), Y ) ) ) ) ] )
% 0.73/1.30 , 0, 13, substitution( 0, [ :=( X, multiply( Z, X ) ), :=( Y, multiply( Y,
% 0.73/1.30 Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 0.73/1.30 )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1316, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ), multiply(
% 0.73/1.30 multiply( 'left_inverse'( Z ), multiply( multiply( Z, X ), multiply( Y, Z
% 0.73/1.30 ) ) ), Y ) ) ] )
% 0.73/1.30 , clause( 439, [ =( multiply( 'left_inverse'( multiply( Z, X ) ), multiply(
% 0.73/1.30 multiply( Z, Y ), Z ) ), multiply( multiply( 'left_inverse'( X ), Y ), Z
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, clause( 1314, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ),
% 0.73/1.30 multiply( 'left_inverse'( multiply( Y, Z ) ), multiply( multiply( Y,
% 0.73/1.30 multiply( multiply( Z, X ), multiply( Y, Z ) ) ), Y ) ) ) ] )
% 0.73/1.30 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, multiply( multiply( Z, X ),
% 0.73/1.30 multiply( Y, Z ) ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.73/1.30 , Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1317, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ), multiply(
% 0.73/1.30 multiply( multiply( X, 'left_inverse'( Z ) ), multiply( Z, multiply( Y, Z
% 0.73/1.30 ) ) ), Y ) ) ] )
% 0.73/1.30 , clause( 398, [ =( multiply( 'left_inverse'( X ), multiply( multiply( X, Y
% 0.73/1.30 ), Z ) ), multiply( multiply( Y, 'left_inverse'( X ) ), multiply( X, Z )
% 0.73/1.30 ) ) ] )
% 0.73/1.30 , 0, clause( 1316, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ),
% 0.73/1.30 multiply( multiply( 'left_inverse'( Z ), multiply( multiply( Z, X ),
% 0.73/1.30 multiply( Y, Z ) ) ), Y ) ) ] )
% 0.73/1.30 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, multiply( Y, Z )
% 0.73/1.30 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1318, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ), multiply(
% 0.73/1.30 multiply( multiply( X, 'left_inverse'( Z ) ), multiply( multiply( Z, Y )
% 0.73/1.30 , Z ) ), Y ) ) ] )
% 0.73/1.30 , clause( 96, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X,
% 0.73/1.30 Y ), X ) ) ] )
% 0.73/1.30 , 0, clause( 1317, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ),
% 0.73/1.30 multiply( multiply( multiply( X, 'left_inverse'( Z ) ), multiply( Z,
% 0.73/1.30 multiply( Y, Z ) ) ), Y ) ) ] )
% 0.73/1.30 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.30 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 paramod(
% 0.73/1.30 clause( 1319, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ), multiply(
% 0.73/1.30 multiply( multiply( X, Y ), Z ), Y ) ) ] )
% 0.73/1.30 , clause( 438, [ =( multiply( multiply( X, 'left_inverse'( Z ) ), multiply(
% 0.73/1.30 multiply( Z, Y ), Z ) ), multiply( multiply( X, Y ), Z ) ) ] )
% 0.73/1.30 , 0, clause( 1318, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ),
% 0.73/1.30 multiply( multiply( multiply( X, 'left_inverse'( Z ) ), multiply(
% 0.73/1.30 multiply( Z, Y ), Z ) ), Y ) ) ] )
% 0.73/1.30 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 440, [ =( multiply( Z, multiply( multiply( X, Y ), X ) ), multiply(
% 0.73/1.30 multiply( multiply( Z, X ), Y ), X ) ) ] )
% 0.73/1.30 , clause( 1319, [ =( multiply( X, multiply( multiply( Y, Z ), Y ) ),
% 0.73/1.30 multiply( multiply( multiply( X, Y ), Z ), Y ) ) ] )
% 0.73/1.30 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1321, [ =( multiply( multiply( multiply( X, Y ), Z ), Y ), multiply(
% 0.73/1.30 X, multiply( multiply( Y, Z ), Y ) ) ) ] )
% 0.73/1.30 , clause( 440, [ =( multiply( Z, multiply( multiply( X, Y ), X ) ),
% 0.73/1.30 multiply( multiply( multiply( Z, X ), Y ), X ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 eqswap(
% 0.73/1.30 clause( 1322, [ ~( =( multiply( multiply( multiply( a, b ), c ), b ),
% 0.73/1.30 multiply( a, multiply( multiply( b, c ), b ) ) ) ) ] )
% 0.73/1.30 , clause( 112, [ ~( =( multiply( a, multiply( multiply( b, c ), b ) ),
% 0.73/1.30 multiply( multiply( multiply( a, b ), c ), b ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 resolution(
% 0.73/1.30 clause( 1323, [] )
% 0.73/1.30 , clause( 1322, [ ~( =( multiply( multiply( multiply( a, b ), c ), b ),
% 0.73/1.30 multiply( a, multiply( multiply( b, c ), b ) ) ) ) ] )
% 0.73/1.30 , 0, clause( 1321, [ =( multiply( multiply( multiply( X, Y ), Z ), Y ),
% 0.73/1.30 multiply( X, multiply( multiply( Y, Z ), Y ) ) ) ] )
% 0.73/1.30 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.73/1.30 Z, c )] )).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 subsumption(
% 0.73/1.30 clause( 442, [] )
% 0.73/1.30 , clause( 1323, [] )
% 0.73/1.30 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 end.
% 0.73/1.30
% 0.73/1.30 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.30
% 0.73/1.30 Memory use:
% 0.73/1.30
% 0.73/1.30 space for terms: 6924
% 0.73/1.30 space for clauses: 56597
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 clauses generated: 18237
% 0.73/1.30 clauses kept: 443
% 0.73/1.30 clauses selected: 138
% 0.73/1.30 clauses deleted: 79
% 0.73/1.30 clauses inuse deleted: 0
% 0.73/1.30
% 0.73/1.30 subsentry: 4599
% 0.73/1.30 literals s-matched: 940
% 0.73/1.30 literals matched: 701
% 0.73/1.30 full subsumption: 0
% 0.73/1.30
% 0.73/1.30 checksum: 1044554593
% 0.73/1.30
% 0.73/1.30
% 0.73/1.30 Bliksem ended
%------------------------------------------------------------------------------